%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU387+2 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.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 : 300s
% DateTime : Tue May 5 05:12:08 PM UTC 2026
% Result : Theorem 282.18s 198.89s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU387+2 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n007.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 03:00:39 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 282.18/198.89 % Version : CSE_E---1.7
% 282.18/198.89 % Problem : theBenchmark.p
% 282.18/198.89 % SZS status Theorem for theBenchmark.p
% 282.18/198.89 % SZS output start CNFRefutation
% 282.18/198.89 fof(s1_tarski__e10_24__wellord2__2, axiom, ![X1, X2]:((~(empty(X1))&relation(X2))=>![X3]:(![X4, X5, X6]:((((X4=X5&?[X7, X8]:((ordered_pair(X7,X8)=X5&in(X7,X1))&?[X9]:((X7=X9&in(X8,X9))&![X10]:(in(X10,X9)=>in(ordered_pair(X8,X10),X2)))))&X4=X6)&?[X11, X12]:((ordered_pair(X11,X12)=X6&in(X11,X1))&?[X13]:((X11=X13&in(X12,X13))&![X14]:(in(X14,X13)=>in(ordered_pair(X12,X14),X2)))))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,cartesian_product2(X1,X3))&X6=X5)&?[X15, X16]:((ordered_pair(X15,X16)=X5&in(X15,X1))&?[X17]:((X15=X17&in(X16,X17))&![X18]:(in(X18,X17)=>in(ordered_pair(X16,X18),X2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e10_24__wellord2__2)).
% 282.18/198.89 fof(d5_tarski, axiom, ![X1, X2]:ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_tarski)).
% 282.18/198.89 fof(t69_enumset1, lemma, ![X1]:unordered_pair(X1,X1)=singleton(X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t69_enumset1)).
% 282.18/198.89 fof(s1_xboole_0__e10_24__wellord2__1, lemma, ![X1, X2]:((~(empty(X1))&relation(X2))=>![X3]:?[X4]:![X5]:(in(X5,X4)<=>(in(X5,cartesian_product2(X1,X3))&?[X6, X7]:((ordered_pair(X6,X7)=X5&in(X6,X1))&?[X8]:((X6=X8&in(X7,X8))&![X9]:(in(X9,X8)=>in(ordered_pair(X7,X9),X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e10_24__wellord2__1)).
% 282.18/198.89 fof(s1_funct_1__e10_24__wellord2__1, lemma, ![X1, X2]:((~(empty(X1))&relation(X2))=>(![X3, X4, X5]:((((in(X3,X1)&?[X6]:((X3=X6&in(X4,X6))&![X7]:(in(X7,X6)=>in(ordered_pair(X4,X7),X2))))&in(X3,X1))&?[X8]:((X3=X8&in(X5,X8))&![X9]:(in(X9,X8)=>in(ordered_pair(X5,X9),X2))))=>X4=X5)=>?[X3]:((relation(X3)&function(X3))&![X4, X5]:(in(ordered_pair(X4,X5),X3)<=>((in(X4,X1)&in(X4,X1))&?[X10]:((X4=X10&in(X5,X10))&![X11]:(in(X11,X10)=>in(ordered_pair(X5,X11),X2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_funct_1__e10_24__wellord2__1)).
% 282.18/198.89 fof(s1_tarski__e10_24__wellord2__1, axiom, ![X1, X2]:((~(empty(X1))&relation(X2))=>(![X3, X4, X5]:((((in(X3,X1)&?[X6]:((X3=X6&in(X4,X6))&![X7]:(in(X7,X6)=>in(ordered_pair(X4,X7),X2))))&in(X3,X1))&?[X8]:((X3=X8&in(X5,X8))&![X9]:(in(X9,X8)=>in(ordered_pair(X5,X9),X2))))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:((in(X5,X1)&in(X5,X1))&?[X10]:((X5=X10&in(X4,X10))&![X11]:(in(X11,X10)=>in(ordered_pair(X4,X11),X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e10_24__wellord2__1)).
% 282.18/198.89 fof(t23_relset_1, lemma, ![X1, X2, X3]:(relation_of2_as_subset(X3,X1,X2)=>(![X4]:~((in(X4,X2)&![X5]:~(in(ordered_pair(X5,X4),X3))))<=>relation_rng_as_subset(X1,X2,X3)=X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t23_relset_1)).
% 282.18/198.89 fof(s2_funct_1__e10_24__wellord2, lemma, ![X1, X2]:((~(empty(X1))&relation(X2))=>((![X3, X4, X5]:(((in(X3,X1)&?[X6]:((X3=X6&in(X4,X6))&![X7]:(in(X7,X6)=>in(ordered_pair(X4,X7),X2))))&?[X8]:((X3=X8&in(X5,X8))&![X9]:(in(X9,X8)=>in(ordered_pair(X5,X9),X2))))=>X4=X5)&![X3]:~((in(X3,X1)&![X4]:~(?[X10]:((X3=X10&in(X4,X10))&![X11]:(in(X11,X10)=>in(ordered_pair(X4,X11),X2)))))))=>?[X3]:(((relation(X3)&function(X3))&relation_dom(X3)=X1)&![X4]:(in(X4,X1)=>?[X12]:((X4=X12&in(apply(X3,X4),X12))&![X13]:(in(X13,X12)=>in(ordered_pair(apply(X3,X4),X13),X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s2_funct_1__e10_24__wellord2)).
% 282.18/198.89 fof(t22_relset_1, lemma, ![X1, X2, X3]:(relation_of2_as_subset(X3,X2,X1)=>(![X4]:~((in(X4,X2)&![X5]:~(in(ordered_pair(X4,X5),X3))))<=>relation_dom_as_subset(X2,X1,X3)=X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t22_relset_1)).
% 282.18/198.89 fof(s2_finset_1__e11_2_1__waybel_0, lemma, ![X1, X2, X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>(((finite(X3)&?[X4]:((element(X4,the_carrier(X1))&in(X4,X2))&relstr_set_smaller(X1,empty_set,X4)))&![X5, X6]:(((in(X5,X3)&subset(X6,X3))&?[X7]:((element(X7,the_carrier(X1))&in(X7,X2))&relstr_set_smaller(X1,X6,X7)))=>?[X8]:((element(X8,the_carrier(X1))&in(X8,X2))&relstr_set_smaller(X1,set_union2(X6,singleton(X5)),X8))))=>?[X9]:((element(X9,the_carrier(X1))&in(X9,X2))&relstr_set_smaller(X1,X3,X9)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s2_finset_1__e11_2_1__waybel_0)).
% 282.18/198.89 fof(s1_funct_1__e4_7_1__tops_2__1, lemma, ![X1, X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>(![X3, X4, X5]:((((in(X3,complements_of_subsets(the_carrier(X1),X2))&![X6]:(element(X6,powerset(the_carrier(X1)))=>(X6=X3=>X4=subset_complement(the_carrier(X1),X6))))&in(X3,complements_of_subsets(the_carrier(X1),X2)))&![X7]:(element(X7,powerset(the_carrier(X1)))=>(X7=X3=>X5=subset_complement(the_carrier(X1),X7))))=>X4=X5)=>?[X3]:((relation(X3)&function(X3))&![X4, X5]:(in(ordered_pair(X4,X5),X3)<=>((in(X4,complements_of_subsets(the_carrier(X1),X2))&in(X4,complements_of_subsets(the_carrier(X1),X2)))&![X8]:(element(X8,powerset(the_carrier(X1)))=>(X8=X4=>X5=subset_complement(the_carrier(X1),X8)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_funct_1__e4_7_1__tops_2__1)).
% 282.18/198.89 fof(s1_funct_1__e4_7_2__tops_2__1, lemma, ![X1, X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>(![X3, X4, X5]:((((in(X3,X2)&![X6]:(element(X6,powerset(the_carrier(X1)))=>(X6=X3=>X4=subset_complement(the_carrier(X1),X6))))&in(X3,X2))&![X7]:(element(X7,powerset(the_carrier(X1)))=>(X7=X3=>X5=subset_complement(the_carrier(X1),X7))))=>X4=X5)=>?[X3]:((relation(X3)&function(X3))&![X4, X5]:(in(ordered_pair(X4,X5),X3)<=>((in(X4,X2)&in(X4,X2))&![X8]:(element(X8,powerset(the_carrier(X1)))=>(X8=X4=>X5=subset_complement(the_carrier(X1),X8)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_funct_1__e4_7_2__tops_2__1)).
% 282.18/198.89 fof(s1_tarski__e18_27__finset_1__1, axiom, ![X1]:(ordinal(X1)=>(![X2, X3, X4]:((((X2=X3&?[X5]:((ordinal(X5)&X3=X5)&(in(X5,omega)=>![X6]:(element(X6,powerset(powerset(X5)))=>~((X6!=empty_set&![X7]:~((in(X7,X6)&![X8]:((in(X8,X6)&subset(X7,X8))=>X8=X7)))))))))&X2=X4)&?[X9]:((ordinal(X9)&X4=X9)&(in(X9,omega)=>![X10]:(element(X10,powerset(powerset(X9)))=>~((X10!=empty_set&![X11]:~((in(X11,X10)&![X12]:((in(X12,X10)&subset(X11,X12))=>X12=X11)))))))))=>X3=X4)=>?[X2]:![X3]:(in(X3,X2)<=>?[X4]:((in(X4,succ(X1))&X4=X3)&?[X13]:((ordinal(X13)&X3=X13)&(in(X13,omega)=>![X14]:(element(X14,powerset(powerset(X13)))=>~((X14!=empty_set&![X15]:~((in(X15,X14)&![X16]:((in(X16,X14)&subset(X15,X16))=>X16=X15)))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e18_27__finset_1__1)).
% 282.18/198.89 fof(d1_ordinal1, axiom, ![X1]:succ(X1)=set_union2(X1,singleton(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_ordinal1)).
% 282.18/198.89 fof(t1_yellow_1, lemma, ![X1]:(the_carrier(incl_POSet(X1))=X1&the_InternalRel(incl_POSet(X1))=inclusion_order(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_yellow_1)).
% 282.18/198.89 fof(redefinition_k1_yellow_1, axiom, ![X1]:inclusion_order(X1)=inclusion_relation(X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k1_yellow_1)).
% 282.18/198.89 fof(d6_relat_2, axiom, ![X1]:(relation(X1)=>![X2]:(is_connected_in(X1,X2)<=>![X3, X4]:~(((((in(X3,X2)&in(X4,X2))&X3!=X4)&~(in(ordered_pair(X3,X4),X1)))&~(in(ordered_pair(X4,X3),X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d6_relat_2)).
% 282.18/198.89 fof(redefinition_k10_filter_1, axiom, ![X1, X2, X3, X4]:((((((((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))&~(empty_carrier(X2)))&lattice(X2))&latt_str(X2))&element(X3,the_carrier(X1)))&element(X4,the_carrier(X2)))=>k10_filter_1(X1,X2,X3,X4)=ordered_pair(X3,X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k10_filter_1)).
% 282.18/198.89 fof(d21_lattice3, axiom, ![X1]:((~(empty_carrier(X1))&latt_str(X1))=>((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>![X2, X3]:(element(X3,the_carrier(X1))=>(X3=join_of_latt_set(X1,X2)<=>(latt_element_smaller(X1,X3,X2)&![X4]:(element(X4,the_carrier(X1))=>(latt_element_smaller(X1,X4,X2)=>below(X1,X3,X4)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d21_lattice3)).
% 282.18/198.89 fof(l4_wellord1, lemma, ![X1]:(relation(X1)=>(connected(X1)<=>![X2, X3]:~(((((in(X2,relation_field(X1))&in(X3,relation_field(X1)))&X2!=X3)&~(in(ordered_pair(X2,X3),X1)))&~(in(ordered_pair(X3,X2),X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l4_wellord1)).
% 282.18/198.89 fof(redefinition_k1_domain_1, axiom, ![X1, X2, X3, X4]:((((~(empty(X1))&~(empty(X2)))&element(X3,X1))&element(X4,X2))=>ordered_pair_as_product_element(X1,X2,X3,X4)=ordered_pair(X3,X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k1_domain_1)).
% 282.18/198.89 fof(fc1_yellow_0, axiom, ![X1, X2]:(relation_of2(X2,singleton(X1),singleton(X1))=>((~(empty_carrier(rel_str_of(singleton(X1),X2)))&strict_rel_str(rel_str_of(singleton(X1),X2)))&trivial_carrier(rel_str_of(singleton(X1),X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_yellow_0)).
% 282.18/198.89 fof(d4_funct_1, axiom, ![X1]:((relation(X1)&function(X1))=>![X2, X3]:((in(X2,relation_dom(X1))=>(X3=apply(X1,X2)<=>in(ordered_pair(X2,X3),X1)))&(~(in(X2,relation_dom(X1)))=>(X3=apply(X1,X2)<=>X3=empty_set)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_funct_1)).
% 282.18/198.89 fof(s1_funct_1__e16_22__wellord2__1, lemma, ![X1]:(![X2, X3, X4]:((((in(X2,X1)&X3=singleton(X2))&in(X2,X1))&X4=singleton(X2))=>X3=X4)=>?[X2]:((relation(X2)&function(X2))&![X3, X4]:(in(ordered_pair(X3,X4),X2)<=>((in(X3,X1)&in(X3,X1))&X4=singleton(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_funct_1__e16_22__wellord2__1)).
% 282.18/198.89 fof(t56_relat_1, lemma, ![X1]:(relation(X1)=>(![X2, X3]:~(in(ordered_pair(X2,X3),X1))=>X1=empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t56_relat_1)).
% 282.18/198.89 fof(fc1_zfmisc_1, axiom, ![X1, X2]:~(empty(ordered_pair(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_zfmisc_1)).
% 282.18/198.89 fof(t4_xboole_0, lemma, ![X1, X2]:(~((~(disjoint(X1,X2))&![X3]:~(in(X3,set_intersection2(X1,X2)))))&~((?[X3]:in(X3,set_intersection2(X1,X2))&disjoint(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t4_xboole_0)).
% 282.18/198.89 fof(fc2_arytm_3, axiom, ![X1]:((ordinal(X1)&natural(X1))=>((((~(empty(succ(X1)))&epsilon_transitive(succ(X1)))&epsilon_connected(succ(X1)))&ordinal(succ(X1)))&natural(succ(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_arytm_3)).
% 282.18/198.89 fof(fc3_ordinal1, axiom, ![X1]:(ordinal(X1)=>(((~(empty(succ(X1)))&epsilon_transitive(succ(X1)))&epsilon_connected(succ(X1)))&ordinal(succ(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc3_ordinal1)).
% 282.18/198.89 fof(s1_tarski__e16_22__wellord2__1, axiom, ![X1]:(![X2, X3, X4]:((((in(X2,X1)&X3=singleton(X2))&in(X2,X1))&X4=singleton(X2))=>X3=X4)=>?[X2]:![X3]:(in(X3,X2)<=>?[X4]:((in(X4,X1)&in(X4,X1))&X3=singleton(X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e16_22__wellord2__1)).
% 282.18/198.89 fof(fc1_ordinal1, axiom, ![X1]:~(empty(succ(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_ordinal1)).
% 282.18/198.89 fof(t65_zfmisc_1, lemma, ![X1, X2]:(set_difference(X1,singleton(X2))=X1<=>~(in(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t65_zfmisc_1)).
% 282.18/198.89 fof(t42_ordinal1, lemma, ![X1]:(ordinal(X1)=>(~((~(being_limit_ordinal(X1))&![X2]:(ordinal(X2)=>X1!=succ(X2))))&~((?[X2]:(ordinal(X2)&X1=succ(X2))&being_limit_ordinal(X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t42_ordinal1)).
% 282.18/198.89 fof(t2_yellow19, conjecture, ![X1]:(~(empty(X1))=>![X2]:(((((~(empty(X2))&filtered_subset(X2,boole_POSet(X1)))&upper_relstr_subset(X2,boole_POSet(X1)))&proper_element(X2,powerset(the_carrier(boole_POSet(X1)))))&element(X2,powerset(the_carrier(boole_POSet(X1)))))=>![X3]:~((in(X3,X2)&empty(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_yellow19)).
% 282.18/198.89 fof(l28_zfmisc_1, lemma, ![X1, X2]:(~(in(X1,X2))=>disjoint(singleton(X1),X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l28_zfmisc_1)).
% 282.18/198.89 fof(fc2_subset_1, axiom, ![X1]:~(empty(singleton(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_subset_1)).
% 282.18/198.89 fof(fc1_finset_1, axiom, ![X1]:(~(empty(singleton(X1)))&finite(singleton(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_finset_1)).
% 282.18/198.89 fof(fc2_waybel_7, axiom, ![X1]:(~(empty(X1))=>((((((((((((((((((~(empty_carrier(boole_POSet(X1)))&~(trivial_carrier(boole_POSet(X1))))&strict_rel_str(boole_POSet(X1)))&reflexive_relstr(boole_POSet(X1)))&transitive_relstr(boole_POSet(X1)))&antisymmetric_relstr(boole_POSet(X1)))&lower_bounded_relstr(boole_POSet(X1)))&upper_bounded_relstr(boole_POSet(X1)))&bounded_relstr(boole_POSet(X1)))&up_complete_relstr(boole_POSet(X1)))&join_complete_relstr(boole_POSet(X1)))&~(v1_yellow_3(boole_POSet(X1))))&distributive_relstr(boole_POSet(X1)))&heyting_relstr(boole_POSet(X1)))&complemented_relstr(boole_POSet(X1)))&boolean_relstr(boole_POSet(X1)))&with_suprema_relstr(boole_POSet(X1)))&with_infima_relstr(boole_POSet(X1)))&complete_relstr(boole_POSet(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_waybel_7)).
% 282.18/198.89 fof(fc8_yellow_6, axiom, ![X1]:((((((((((((((~(empty_carrier(boole_POSet(X1)))&strict_rel_str(boole_POSet(X1)))&reflexive_relstr(boole_POSet(X1)))&transitive_relstr(boole_POSet(X1)))&antisymmetric_relstr(boole_POSet(X1)))&lower_bounded_relstr(boole_POSet(X1)))&upper_bounded_relstr(boole_POSet(X1)))&bounded_relstr(boole_POSet(X1)))&directed_relstr(boole_POSet(X1)))&up_complete_relstr(boole_POSet(X1)))&join_complete_relstr(boole_POSet(X1)))&~(v1_yellow_3(boole_POSet(X1))))&with_suprema_relstr(boole_POSet(X1)))&with_infima_relstr(boole_POSet(X1)))&complete_relstr(boole_POSet(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc8_yellow_6)).
% 282.18/198.89 fof(fc1_waybel_7, axiom, ![X1]:(((((((((((((((((~(empty_carrier(boole_POSet(X1)))&strict_rel_str(boole_POSet(X1)))&reflexive_relstr(boole_POSet(X1)))&transitive_relstr(boole_POSet(X1)))&antisymmetric_relstr(boole_POSet(X1)))&lower_bounded_relstr(boole_POSet(X1)))&upper_bounded_relstr(boole_POSet(X1)))&bounded_relstr(boole_POSet(X1)))&up_complete_relstr(boole_POSet(X1)))&join_complete_relstr(boole_POSet(X1)))&~(v1_yellow_3(boole_POSet(X1))))&distributive_relstr(boole_POSet(X1)))&heyting_relstr(boole_POSet(X1)))&complemented_relstr(boole_POSet(X1)))&boolean_relstr(boole_POSet(X1)))&with_suprema_relstr(boole_POSet(X1)))&with_infima_relstr(boole_POSet(X1)))&complete_relstr(boole_POSet(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_waybel_7)).
% 282.18/198.89 fof(fc9_waybel_1, axiom, ![X1]:((((((((((((((~(empty_carrier(boole_POSet(X1)))&strict_rel_str(boole_POSet(X1)))&reflexive_relstr(boole_POSet(X1)))&transitive_relstr(boole_POSet(X1)))&antisymmetric_relstr(boole_POSet(X1)))&with_suprema_relstr(boole_POSet(X1)))&with_infima_relstr(boole_POSet(X1)))&complete_relstr(boole_POSet(X1)))&lower_bounded_relstr(boole_POSet(X1)))&upper_bounded_relstr(boole_POSet(X1)))&bounded_relstr(boole_POSet(X1)))&up_complete_relstr(boole_POSet(X1)))&join_complete_relstr(boole_POSet(X1)))&distributive_relstr(boole_POSet(X1)))&complemented_relstr(boole_POSet(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc9_waybel_1)).
% 282.18/198.89 fof(fc8_yellow_1, axiom, ![X1]:((((((((((~(empty_carrier(boole_POSet(X1)))&strict_rel_str(boole_POSet(X1)))&reflexive_relstr(boole_POSet(X1)))&transitive_relstr(boole_POSet(X1)))&antisymmetric_relstr(boole_POSet(X1)))&lower_bounded_relstr(boole_POSet(X1)))&upper_bounded_relstr(boole_POSet(X1)))&bounded_relstr(boole_POSet(X1)))&with_suprema_relstr(boole_POSet(X1)))&with_infima_relstr(boole_POSet(X1)))&complete_relstr(boole_POSet(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc8_yellow_1)).
% 282.18/198.89 fof(fc7_yellow_1, axiom, ![X1]:((((~(empty_carrier(boole_POSet(X1)))&strict_rel_str(boole_POSet(X1)))&reflexive_relstr(boole_POSet(X1)))&transitive_relstr(boole_POSet(X1)))&antisymmetric_relstr(boole_POSet(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc7_yellow_1)).
% 282.18/198.89 fof(fc1_waybel_1, axiom, ![X1]:(((((((((((((~(empty_carrier(boole_POSet(X1)))&strict_rel_str(boole_POSet(X1)))&reflexive_relstr(boole_POSet(X1)))&transitive_relstr(boole_POSet(X1)))&antisymmetric_relstr(boole_POSet(X1)))&with_suprema_relstr(boole_POSet(X1)))&with_infima_relstr(boole_POSet(X1)))&complete_relstr(boole_POSet(X1)))&lower_bounded_relstr(boole_POSet(X1)))&upper_bounded_relstr(boole_POSet(X1)))&bounded_relstr(boole_POSet(X1)))&up_complete_relstr(boole_POSet(X1)))&join_complete_relstr(boole_POSet(X1)))&distributive_relstr(boole_POSet(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_waybel_1)).
% 282.18/198.89 fof(d8_relat_1, axiom, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>![X3]:(relation(X3)=>(X3=relation_composition(X1,X2)<=>![X4, X5]:(in(ordered_pair(X4,X5),X3)<=>?[X6]:(in(ordered_pair(X4,X6),X1)&in(ordered_pair(X6,X5),X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_relat_1)).
% 282.18/198.89 fof(s1_tarski__e6_21__wellord2__1, axiom, ![X1, X2, X3]:(((relation(X2)&relation(X3))&function(X3))=>(![X4, X5, X6]:((((X4=X5&?[X7, X8]:(X5=ordered_pair(X7,X8)&in(ordered_pair(apply(X3,X7),apply(X3,X8)),X2)))&X4=X6)&?[X9, X10]:(X6=ordered_pair(X9,X10)&in(ordered_pair(apply(X3,X9),apply(X3,X10)),X2)))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,cartesian_product2(X1,X1))&X6=X5)&?[X11, X12]:(X5=ordered_pair(X11,X12)&in(ordered_pair(apply(X3,X11),apply(X3,X12)),X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e6_21__wellord2__1)).
% 282.18/198.89 fof(s1_tarski__e4_7_1__tops_2__2, axiom, ![X1, X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>![X3]:(![X4, X5, X6]:((((X4=X5&?[X7, X8]:((ordered_pair(X7,X8)=X5&in(X7,complements_of_subsets(the_carrier(X1),X2)))&![X9]:(element(X9,powerset(the_carrier(X1)))=>(X9=X7=>X8=subset_complement(the_carrier(X1),X9)))))&X4=X6)&?[X10, X11]:((ordered_pair(X10,X11)=X6&in(X10,complements_of_subsets(the_carrier(X1),X2)))&![X12]:(element(X12,powerset(the_carrier(X1)))=>(X12=X10=>X11=subset_complement(the_carrier(X1),X12)))))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))&X6=X5)&?[X13, X14]:((ordered_pair(X13,X14)=X5&in(X13,complements_of_subsets(the_carrier(X1),X2)))&![X15]:(element(X15,powerset(the_carrier(X1)))=>(X15=X13=>X14=subset_complement(the_carrier(X1),X15)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e4_7_1__tops_2__2)).
% 282.18/198.89 fof(s1_tarski__e4_7_2__tops_2__2, axiom, ![X1, X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>![X3]:(![X4, X5, X6]:((((X4=X5&?[X7, X8]:((ordered_pair(X7,X8)=X5&in(X7,X2))&![X9]:(element(X9,powerset(the_carrier(X1)))=>(X9=X7=>X8=subset_complement(the_carrier(X1),X9)))))&X4=X6)&?[X10, X11]:((ordered_pair(X10,X11)=X6&in(X10,X2))&![X12]:(element(X12,powerset(the_carrier(X1)))=>(X12=X10=>X11=subset_complement(the_carrier(X1),X12)))))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,cartesian_product2(X2,X3))&X6=X5)&?[X13, X14]:((ordered_pair(X13,X14)=X5&in(X13,X2))&![X15]:(element(X15,powerset(the_carrier(X1)))=>(X15=X13=>X14=subset_complement(the_carrier(X1),X15)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e4_7_2__tops_2__2)).
% 282.18/198.89 fof(s1_xboole_0__e4_7_1__tops_2__1, lemma, ![X1, X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>![X3]:?[X4]:![X5]:(in(X5,X4)<=>(in(X5,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))&?[X6, X7]:((ordered_pair(X6,X7)=X5&in(X6,complements_of_subsets(the_carrier(X1),X2)))&![X8]:(element(X8,powerset(the_carrier(X1)))=>(X8=X6=>X7=subset_complement(the_carrier(X1),X8))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e4_7_1__tops_2__1)).
% 282.18/198.89 fof(s1_xboole_0__e4_7_2__tops_2__1, lemma, ![X1, X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>![X3]:?[X4]:![X5]:(in(X5,X4)<=>(in(X5,cartesian_product2(X2,X3))&?[X6, X7]:((ordered_pair(X6,X7)=X5&in(X6,X2))&![X8]:(element(X8,powerset(the_carrier(X1)))=>(X8=X6=>X7=subset_complement(the_carrier(X1),X8))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e4_7_2__tops_2__1)).
% 282.18/198.89 fof(s1_xboole_0__e6_21__wellord2__1, lemma, ![X1, X2, X3]:(((relation(X2)&relation(X3))&function(X3))=>?[X4]:![X5]:(in(X5,X4)<=>(in(X5,cartesian_product2(X1,X1))&?[X6, X7]:(X5=ordered_pair(X6,X7)&in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e6_21__wellord2__1)).
% 282.18/198.89 fof(dt_k2_binop_1, axiom, ![X1, X2, X3, X4, X5, X6]:(((((((~(empty(X1))&~(empty(X2)))&function(X4))&quasi_total(X4,cartesian_product2(X1,X2),X3))&relation_of2(X4,cartesian_product2(X1,X2),X3))&element(X5,X1))&element(X6,X2))=>element(apply_binary_as_element(X1,X2,X3,X4,X5,X6),X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_binop_1)).
% 282.18/198.89 fof(d12_yellow_6, axiom, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((((~(empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:((((~(empty_carrier(X3))&transitive_relstr(X3))&directed_relstr(X3))&net_str(X3,X1))=>(subnet(X3,X1,X2)<=>?[X4]:((((function(X4)&quasi_total(X4,the_carrier(X3),the_carrier(X2)))&relation_of2_as_subset(X4,the_carrier(X3),the_carrier(X2)))&the_mapping(X1,X3)=function_of_composition(the_carrier(X3),the_carrier(X2),the_carrier(X1),X4,the_mapping(X1,X2)))&![X5]:(element(X5,the_carrier(X2))=>?[X6]:(element(X6,the_carrier(X3))&![X7]:(element(X7,the_carrier(X3))=>(related(X3,X6,X7)=>related(X2,X5,apply_on_set_and_struct(the_carrier(X3),X2,X4,X7))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d12_yellow_6)).
% 282.18/198.89 fof(d7_wellord1, axiom, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>![X3]:((relation(X3)&function(X3))=>(relation_isomorphism(X1,X2,X3)<=>(((relation_dom(X3)=relation_field(X1)&relation_rng(X3)=relation_field(X2))&one_to_one(X3))&![X4, X5]:(in(ordered_pair(X4,X5),X1)<=>((in(X4,relation_field(X1))&in(X5,relation_field(X1)))&in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d7_wellord1)).
% 282.18/198.89 fof(redefinition_k2_binop_1, axiom, ![X1, X2, X3, X4, X5, X6]:(((((((~(empty(X1))&~(empty(X2)))&function(X4))&quasi_total(X4,cartesian_product2(X1,X2),X3))&relation_of2(X4,cartesian_product2(X1,X2),X3))&element(X5,X1))&element(X6,X2))=>apply_binary_as_element(X1,X2,X3,X4,X5,X6)=apply_binary(X4,X5,X6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k2_binop_1)).
% 282.18/198.89 fof(d1_lattices, axiom, ![X1]:((~(empty_carrier(X1))&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>join(X1,X2,X3)=apply_binary_as_element(the_carrier(X1),the_carrier(X1),the_carrier(X1),the_L_join(X1),X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_lattices)).
% 282.18/198.89 fof(d2_lattices, axiom, ![X1]:((~(empty_carrier(X1))&meet_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>meet(X1,X2,X3)=apply_binary_as_element(the_carrier(X1),the_carrier(X1),the_carrier(X1),the_L_meet(X1),X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_lattices)).
% 282.18/198.89 fof(d13_relat_1, axiom, ![X1]:(relation(X1)=>![X2, X3]:(X3=relation_image(X1,X2)<=>![X4]:(in(X4,X3)<=>?[X5]:(in(ordered_pair(X5,X4),X1)&in(X5,X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d13_relat_1)).
% 282.18/198.89 fof(d12_relat_1, axiom, ![X1, X2]:(relation(X2)=>![X3]:(relation(X3)=>(X3=relation_rng_restriction(X1,X2)<=>![X4, X5]:(in(ordered_pair(X4,X5),X3)<=>(in(X5,X1)&in(ordered_pair(X4,X5),X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d12_relat_1)).
% 282.18/198.89 fof(d11_relat_1, axiom, ![X1]:(relation(X1)=>![X2, X3]:(relation(X3)=>(X3=relation_dom_restriction(X1,X2)<=>![X4, X5]:(in(ordered_pair(X4,X5),X3)<=>(in(X4,X2)&in(ordered_pair(X4,X5),X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d11_relat_1)).
% 282.18/198.89 fof(d2_zfmisc_1, axiom, ![X1, X2, X3]:(X3=cartesian_product2(X1,X2)<=>![X4]:(in(X4,X3)<=>?[X5, X6]:((in(X5,X1)&in(X6,X2))&X4=ordered_pair(X5,X6)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_zfmisc_1)).
% 282.18/198.89 fof(dt_k7_funct_2, axiom, ![X1, X2, X3, X4, X5]:(((((((~(empty(X2))&function(X4))&quasi_total(X4,X1,X2))&relation_of2(X4,X1,X2))&function(X5))&quasi_total(X5,X2,X3))&relation_of2(X5,X2,X3))=>((function(function_of_composition(X1,X2,X3,X4,X5))&quasi_total(function_of_composition(X1,X2,X3,X4,X5),X1,X3))&relation_of2_as_subset(function_of_composition(X1,X2,X3,X4,X5),X1,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k7_funct_2)).
% 282.18/198.89 fof(d7_waybel_9, axiom, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>![X4]:((strict_net_str(X4,X1)&net_str(X4,X1))=>(X4=netstr_restr_to_element(X1,X2,X3)<=>((![X5]:(in(X5,the_carrier(X4))<=>?[X6]:((element(X6,the_carrier(X2))&X6=X5)&related(X2,X3,X6)))&the_InternalRel(X4)=relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X4)))&the_mapping(X1,X4)=partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X4)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d7_waybel_9)).
% 282.18/198.89 fof(d1_wellord1, axiom, ![X1]:(relation(X1)=>![X2, X3]:(X3=fiber(X1,X2)<=>![X4]:(in(X4,X3)<=>(X4!=X2&in(ordered_pair(X4,X2),X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_wellord1)).
% 282.18/198.89 fof(d14_relat_1, axiom, ![X1]:(relation(X1)=>![X2, X3]:(X3=relation_inverse_image(X1,X2)<=>![X4]:(in(X4,X3)<=>?[X5]:(in(ordered_pair(X4,X5),X1)&in(X5,X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d14_relat_1)).
% 282.18/198.89 fof(d11_waybel_0, axiom, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(is_eventually_in(X1,X2,X3)<=>?[X4]:(element(X4,the_carrier(X2))&![X5]:(element(X5,the_carrier(X2))=>(related(X2,X4,X5)=>in(apply_netmap(X1,X2,X5),X3))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d11_waybel_0)).
% 282.18/198.89 fof(d7_relat_1, axiom, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>(X2=relation_inverse(X1)<=>![X3, X4]:(in(ordered_pair(X3,X4),X2)<=>in(ordered_pair(X4,X3),X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d7_relat_1)).
% 282.18/198.89 fof(d2_relat_1, axiom, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>(X1=X2<=>![X3, X4]:(in(ordered_pair(X3,X4),X1)<=>in(ordered_pair(X3,X4),X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_relat_1)).
% 282.18/198.89 fof(s1_tarski__e11_2_1__waybel_0__1, axiom, ![X1, X2, X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>(![X4, X5, X6]:((((X4=X5&?[X7]:(X7=X5&?[X8]:((element(X8,the_carrier(X1))&in(X8,X2))&relstr_set_smaller(X1,X7,X8))))&X4=X6)&?[X9]:(X9=X6&?[X10]:((element(X10,the_carrier(X1))&in(X10,X2))&relstr_set_smaller(X1,X9,X10))))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,powerset(X3))&X6=X5)&?[X11]:(X11=X5&?[X12]:((element(X12,the_carrier(X1))&in(X12,X2))&relstr_set_smaller(X1,X11,X12))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e11_2_1__waybel_0__1)).
% 282.18/198.89 fof(redefinition_k7_funct_2, axiom, ![X1, X2, X3, X4, X5]:(((((((~(empty(X2))&function(X4))&quasi_total(X4,X1,X2))&relation_of2(X4,X1,X2))&function(X5))&quasi_total(X5,X2,X3))&relation_of2(X5,X2,X3))=>function_of_composition(X1,X2,X3,X4,X5)=relation_composition(X4,X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k7_funct_2)).
% 282.18/198.89 fof(t143_relat_1, lemma, ![X1, X2, X3]:(relation(X3)=>(in(X1,relation_image(X3,X2))<=>?[X4]:((in(X4,relation_dom(X3))&in(ordered_pair(X4,X1),X3))&in(X4,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t143_relat_1)).
% 282.18/198.89 fof(d5_relat_1, axiom, ![X1]:(relation(X1)=>![X2]:(X2=relation_rng(X1)<=>![X3]:(in(X3,X2)<=>?[X4]:in(ordered_pair(X4,X3),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_relat_1)).
% 282.18/198.89 fof(s1_xboole_0__e11_2_1__waybel_0__1, lemma, ![X1, X2, X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>?[X4]:![X5]:(in(X5,X4)<=>(in(X5,powerset(X3))&?[X6]:(X6=X5&?[X7]:((element(X7,the_carrier(X1))&in(X7,X2))&relstr_set_smaller(X1,X6,X7)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e11_2_1__waybel_0__1)).
% 282.18/198.89 fof(d12_waybel_0, axiom, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(is_often_in(X1,X2,X3)<=>![X4]:(element(X4,the_carrier(X2))=>?[X5]:((element(X5,the_carrier(X2))&related(X2,X4,X5))&in(apply_netmap(X1,X2,X5),X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d12_waybel_0)).
% 282.18/198.89 fof(s1_relat_1__e6_21__wellord2, lemma, ![X1, X2, X3]:(((relation(X2)&relation(X3))&function(X3))=>?[X4]:(relation(X4)&![X5, X6]:(in(ordered_pair(X5,X6),X4)<=>((in(X5,X1)&in(X6,X1))&in(ordered_pair(apply(X3,X5),apply(X3,X6)),X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_relat_1__e6_21__wellord2)).
% 282.18/198.89 fof(s1_tarski__e4_7_1__tops_2__1, axiom, ![X1, X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>(![X3, X4, X5]:((((in(X3,complements_of_subsets(the_carrier(X1),X2))&![X6]:(element(X6,powerset(the_carrier(X1)))=>(X6=X3=>X4=subset_complement(the_carrier(X1),X6))))&in(X3,complements_of_subsets(the_carrier(X1),X2)))&![X7]:(element(X7,powerset(the_carrier(X1)))=>(X7=X3=>X5=subset_complement(the_carrier(X1),X7))))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:((in(X5,complements_of_subsets(the_carrier(X1),X2))&in(X5,complements_of_subsets(the_carrier(X1),X2)))&![X8]:(element(X8,powerset(the_carrier(X1)))=>(X8=X5=>X4=subset_complement(the_carrier(X1),X8))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e4_7_1__tops_2__1)).
% 282.18/198.89 fof(s1_tarski__e16_22__wellord2__2, axiom, ![X1, X2]:(![X3, X4, X5]:((((X3=X4&?[X6, X7]:((ordered_pair(X6,X7)=X4&in(X6,X1))&X7=singleton(X6)))&X3=X5)&?[X8, X9]:((ordered_pair(X8,X9)=X5&in(X8,X1))&X9=singleton(X8)))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:((in(X5,cartesian_product2(X1,X2))&X5=X4)&?[X10, X11]:((ordered_pair(X10,X11)=X4&in(X10,X1))&X11=singleton(X10))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e16_22__wellord2__2)).
% 282.18/198.89 fof(fc6_waybel_0, axiom, ![X1, X2, X3, X4]:((((((one_sorted_str(X1)&~(empty(X2)))&relation_of2(X3,X2,X2))&function(X4))&quasi_total(X4,X2,the_carrier(X1)))&relation_of2(X4,X2,the_carrier(X1)))=>(~(empty_carrier(net_str_of(X1,X2,X3,X4)))&strict_net_str(net_str_of(X1,X2,X3,X4),X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc6_waybel_0)).
% 282.18/198.89 fof(s1_tarski__e4_7_2__tops_2__1, axiom, ![X1, X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>(![X3, X4, X5]:((((in(X3,X2)&![X6]:(element(X6,powerset(the_carrier(X1)))=>(X6=X3=>X4=subset_complement(the_carrier(X1),X6))))&in(X3,X2))&![X7]:(element(X7,powerset(the_carrier(X1)))=>(X7=X3=>X5=subset_complement(the_carrier(X1),X7))))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:((in(X5,X2)&in(X5,X2))&![X8]:(element(X8,powerset(the_carrier(X1)))=>(X8=X5=>X4=subset_complement(the_carrier(X1),X8))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e4_7_2__tops_2__1)).
% 282.18/198.89 fof(d18_yellow_6, axiom, ![X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))=>![X2]:((((~(empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(element(X3,powerset(the_carrier(X1)))=>(X3=lim_points_of_net(X1,X2)<=>![X4]:(element(X4,the_carrier(X1))=>(in(X4,X3)<=>![X5]:(point_neighbourhood(X5,X1,X4)=>is_eventually_in(X1,X2,X5)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d18_yellow_6)).
% 282.18/198.89 fof(d1_wellord2, axiom, ![X1, X2]:(relation(X2)=>(X2=inclusion_relation(X1)<=>(relation_field(X2)=X1&![X3, X4]:((in(X3,X1)&in(X4,X1))=>(in(ordered_pair(X3,X4),X2)<=>subset(X3,X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_wellord2)).
% 282.18/198.89 fof(d10_relat_1, axiom, ![X1, X2]:(relation(X2)=>(X2=identity_relation(X1)<=>![X3, X4]:(in(ordered_pair(X3,X4),X2)<=>(in(X3,X1)&X3=X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d10_relat_1)).
% 282.18/198.89 fof(s1_xboole_0__e18_27__finset_1__1, lemma, ![X1]:(ordinal(X1)=>?[X2]:![X3]:(in(X3,X2)<=>(in(X3,succ(X1))&?[X4]:((ordinal(X4)&X3=X4)&(in(X4,omega)=>![X5]:(element(X5,powerset(powerset(X4)))=>~((X5!=empty_set&![X6]:~((in(X6,X5)&![X7]:((in(X7,X5)&subset(X6,X7))=>X7=X6))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e18_27__finset_1__1)).
% 282.18/198.89 fof(s1_xboole_0__e16_22__wellord2__1, lemma, ![X1, X2]:?[X3]:![X4]:(in(X4,X3)<=>(in(X4,cartesian_product2(X1,X2))&?[X5, X6]:((ordered_pair(X5,X6)=X4&in(X5,X1))&X6=singleton(X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e16_22__wellord2__1)).
% 282.18/198.89 fof(t32_filter_1, lemma, ![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>(in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1))<=>below_refl(X1,X2,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t32_filter_1)).
% 282.18/198.89 fof(d3_relat_1, axiom, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>(subset(X1,X2)<=>![X3, X4]:(in(ordered_pair(X3,X4),X1)=>in(ordered_pair(X3,X4),X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_relat_1)).
% 282.18/198.89 fof(d1_relat_2, axiom, ![X1]:(relation(X1)=>![X2]:(is_reflexive_in(X1,X2)<=>![X3]:(in(X3,X2)=>in(ordered_pair(X3,X3),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_relat_2)).
% 282.18/198.89 fof(d8_relat_2, axiom, ![X1]:(relation(X1)=>![X2]:(is_transitive_in(X1,X2)<=>![X3, X4, X5]:(((((in(X3,X2)&in(X4,X2))&in(X5,X2))&in(ordered_pair(X3,X4),X1))&in(ordered_pair(X4,X5),X1))=>in(ordered_pair(X3,X5),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_relat_2)).
% 282.18/198.89 fof(s1_tarski__e4_27_3_1__finset_1__1, axiom, ![X1, X2]:((ordinal(X1)&element(X2,powerset(powerset(succ(X1)))))=>(![X3, X4, X5]:((((X3=X4&?[X6]:(in(X6,X2)&X4=set_difference(X6,singleton(X1))))&X3=X5)&?[X7]:(in(X7,X2)&X5=set_difference(X7,singleton(X1))))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:((in(X5,powerset(X1))&X5=X4)&?[X8]:(in(X8,X2)&X4=set_difference(X8,singleton(X1))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e4_27_3_1__finset_1__1)).
% 282.18/198.89 fof(fraenkel_a_3_0_waybel_9, axiom, ![X1, X2, X3, X4]:(((((~(empty_carrier(X2))&one_sorted_str(X2))&~(empty_carrier(X3)))&net_str(X3,X2))&element(X4,the_carrier(X3)))=>(in(X1,a_3_0_waybel_9(X2,X3,X4))<=>?[X5]:((element(X5,the_carrier(X3))&X1=X5)&related(X3,X4,X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fraenkel_a_3_0_waybel_9)).
% 282.18/198.89 fof(d4_relat_1, axiom, ![X1]:(relation(X1)=>![X2]:(X2=relation_dom(X1)<=>![X3]:(in(X3,X2)<=>?[X4]:in(ordered_pair(X3,X4),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_relat_1)).
% 282.18/198.89 fof(dt_k1_waybel_0, axiom, ![X1, X2, X3, X4]:((((((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&one_sorted_str(X2))&function(X3))&quasi_total(X3,the_carrier(X1),the_carrier(X2)))&relation_of2(X3,the_carrier(X1),the_carrier(X2)))&element(X4,the_carrier(X1)))=>element(apply_on_structs(X1,X2,X3,X4),the_carrier(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k1_waybel_0)).
% 282.18/198.89 fof(s1_xboole_0__e4_27_3_1__finset_1, lemma, ![X1, X2]:((ordinal(X1)&element(X2,powerset(powerset(succ(X1)))))=>?[X3]:![X4]:(in(X4,X3)<=>(in(X4,powerset(X1))&?[X5]:(in(X5,X2)&X4=set_difference(X5,singleton(X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e4_27_3_1__finset_1)).
% 282.18/198.89 fof(dt_k7_yellow_2, axiom, ![X1, X2, X3, X4]:(((((((~(empty(X1))&~(empty_carrier(X2)))&one_sorted_str(X2))&function(X3))&quasi_total(X3,X1,the_carrier(X2)))&relation_of2(X3,X1,the_carrier(X2)))&element(X4,X1))=>element(apply_on_set_and_struct2(X1,X2,X3,X4),the_carrier(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k7_yellow_2)).
% 282.18/198.89 fof(dt_k3_yellow_6, axiom, ![X1, X2, X3, X4]:(((((((~(empty(X1))&~(empty_carrier(X2)))&rel_str(X2))&function(X3))&quasi_total(X3,X1,the_carrier(X2)))&relation_of2(X3,X1,the_carrier(X2)))&element(X4,X1))=>element(apply_on_set_and_struct(X1,X2,X3,X4),the_carrier(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k3_yellow_6)).
% 282.18/198.89 fof(dt_k8_funct_2, axiom, ![X1, X2, X3, X4]:(((((~(empty(X1))&function(X3))&quasi_total(X3,X1,X2))&relation_of2(X3,X1,X2))&element(X4,X1))=>element(apply_as_element(X1,X2,X3,X4),X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k8_funct_2)).
% 282.18/198.89 fof(fc3_lattices, axiom, ![X1, X2, X3]:(((((((~(empty(X1))&function(X2))&quasi_total(X2,cartesian_product2(X1,X1),X1))&relation_of2(X2,cartesian_product2(X1,X1),X1))&function(X3))&quasi_total(X3,cartesian_product2(X1,X1),X1))&relation_of2(X3,cartesian_product2(X1,X1),X1))=>(~(empty_carrier(latt_str_of(X1,X2,X3)))&strict_latt_str(latt_str_of(X1,X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc3_lattices)).
% 282.18/198.89 fof(t16_waybel_9, lemma, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:(((~(empty_carrier(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>![X4]:(element(X4,the_carrier(X2))=>![X5]:(element(X5,the_carrier(netstr_restr_to_element(X1,X2,X3)))=>(X4=X5=>apply_netmap(X1,X2,X4)=apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X5))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t16_waybel_9)).
% 282.18/198.89 fof(dt_k10_filter_1, axiom, ![X1, X2, X3, X4]:((((((((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))&~(empty_carrier(X2)))&lattice(X2))&latt_str(X2))&element(X3,the_carrier(X1)))&element(X4,the_carrier(X2)))=>element(k10_filter_1(X1,X2,X3,X4),the_carrier(k8_filter_1(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k10_filter_1)).
% 282.18/198.89 fof(t166_relat_1, lemma, ![X1, X2, X3]:(relation(X3)=>(in(X1,relation_inverse_image(X3,X2))<=>?[X4]:((in(X4,relation_rng(X3))&in(ordered_pair(X1,X4),X3))&in(X4,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t166_relat_1)).
% 282.18/198.89 fof(d3_xboole_0, axiom, ![X1, X2, X3]:(X3=set_intersection2(X1,X2)<=>![X4]:(in(X4,X3)<=>(in(X4,X1)&in(X4,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_xboole_0)).
% 282.18/198.89 fof(t48_xboole_1, lemma, ![X1, X2]:set_difference(X1,set_difference(X1,X2))=set_intersection2(X1,X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t48_xboole_1)).
% 282.18/198.89 fof(l2_wellord1, lemma, ![X1]:(relation(X1)=>(transitive(X1)<=>![X2, X3, X4]:((in(ordered_pair(X2,X3),X1)&in(ordered_pair(X3,X4),X1))=>in(ordered_pair(X2,X4),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l2_wellord1)).
% 282.18/198.89 fof(fraenkel_a_1_0_filter_1, axiom, ![X1, X2]:(((~(empty_carrier(X2))&lattice(X2))&latt_str(X2))=>(in(X1,a_1_0_filter_1(X2))<=>?[X3, X4]:(((element(X3,the_carrier(X2))&element(X4,the_carrier(X2)))&X1=ordered_pair_as_product_element(the_carrier(X2),the_carrier(X2),X3,X4))&below_refl(X2,X3,X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fraenkel_a_1_0_filter_1)).
% 282.18/198.89 fof(dt_k1_domain_1, axiom, ![X1, X2, X3, X4]:((((~(empty(X1))&~(empty(X2)))&element(X3,X1))&element(X4,X2))=>element(ordered_pair_as_product_element(X1,X2,X3,X4),cartesian_product2(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k1_domain_1)).
% 282.18/198.89 fof(d4_relat_2, axiom, ![X1]:(relation(X1)=>![X2]:(is_antisymmetric_in(X1,X2)<=>![X3, X4]:((((in(X3,X2)&in(X4,X2))&in(ordered_pair(X3,X4),X1))&in(ordered_pair(X4,X3),X1))=>X3=X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_relat_2)).
% 282.18/198.89 fof(redefinition_k1_waybel_0, axiom, ![X1, X2, X3, X4]:((((((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&one_sorted_str(X2))&function(X3))&quasi_total(X3,the_carrier(X1),the_carrier(X2)))&relation_of2(X3,the_carrier(X1),the_carrier(X2)))&element(X4,the_carrier(X1)))=>apply_on_structs(X1,X2,X3,X4)=apply(X3,X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k1_waybel_0)).
% 282.18/198.89 fof(t68_funct_1, lemma, ![X1, X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(X2=relation_dom_restriction(X3,X1)<=>(relation_dom(X2)=set_intersection2(relation_dom(X3),X1)&![X4]:(in(X4,relation_dom(X2))=>apply(X2,X4)=apply(X3,X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t68_funct_1)).
% 282.18/198.89 fof(d4_xboole_0, axiom, ![X1, X2, X3]:(X3=set_difference(X1,X2)<=>![X4]:(in(X4,X3)<=>(in(X4,X1)&~(in(X4,X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 282.18/198.89 fof(redefinition_k7_yellow_2, axiom, ![X1, X2, X3, X4]:(((((((~(empty(X1))&~(empty_carrier(X2)))&one_sorted_str(X2))&function(X3))&quasi_total(X3,X1,the_carrier(X2)))&relation_of2(X3,X1,the_carrier(X2)))&element(X4,X1))=>apply_on_set_and_struct2(X1,X2,X3,X4)=apply(X3,X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k7_yellow_2)).
% 282.18/198.89 fof(redefinition_k3_yellow_6, axiom, ![X1, X2, X3, X4]:(((((((~(empty(X1))&~(empty_carrier(X2)))&rel_str(X2))&function(X3))&quasi_total(X3,X1,the_carrier(X2)))&relation_of2(X3,X1,the_carrier(X2)))&element(X4,X1))=>apply_on_set_and_struct(X1,X2,X3,X4)=apply(X3,X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k3_yellow_6)).
% 282.18/198.89 fof(t21_yellow_6, lemma, ![X1]:(one_sorted_str(X1)=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(((~(empty_carrier(X3))&full_subnetstr(X3,X1,X2))&subnetstr(X3,X1,X2))=>![X4]:(element(X4,the_carrier(X2))=>![X5]:(element(X5,the_carrier(X2))=>![X6]:(element(X6,the_carrier(X3))=>![X7]:(element(X7,the_carrier(X3))=>(((X4=X6&X5=X7)&related(X2,X4,X5))=>related(X3,X6,X7))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t21_yellow_6)).
% 282.18/198.89 fof(l3_wellord1, lemma, ![X1]:(relation(X1)=>(antisymmetric(X1)<=>![X2, X3]:((in(ordered_pair(X2,X3),X1)&in(ordered_pair(X3,X2),X1))=>X2=X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l3_wellord1)).
% 282.18/198.89 fof(redefinition_k8_funct_2, axiom, ![X1, X2, X3, X4]:(((((~(empty(X1))&function(X3))&quasi_total(X3,X1,X2))&relation_of2(X3,X1,X2))&element(X4,X1))=>apply_as_element(X1,X2,X3,X4)=apply(X3,X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k8_funct_2)).
% 282.18/198.89 fof(d1_funct_1, axiom, ![X1]:(function(X1)<=>![X2, X3, X4]:((in(ordered_pair(X2,X3),X1)&in(ordered_pair(X2,X4),X1))=>X3=X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_funct_1)).
% 282.18/198.89 fof(t74_relat_1, lemma, ![X1, X2, X3, X4]:(relation(X4)=>(in(ordered_pair(X1,X2),relation_composition(identity_relation(X3),X4))<=>(in(X1,X3)&in(ordered_pair(X1,X2),X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t74_relat_1)).
% 282.18/198.89 fof(t34_lattice3, lemma, ![X1]:((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(X2=meet_of_latt_set(X1,X3)<=>(latt_set_smaller(X1,X2,X3)&![X4]:(element(X4,the_carrier(X1))=>(latt_set_smaller(X1,X4,X3)=>below_refl(X1,X4,X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t34_lattice3)).
% 282.18/198.89 fof(d8_waybel_0, axiom, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>apply_netmap(X1,X2,X3)=apply_on_structs(X2,X1,the_mapping(X1,X2),X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_waybel_0)).
% 282.18/198.89 fof(l1_wellord1, lemma, ![X1]:(relation(X1)=>(reflexive(X1)<=>![X2]:(in(X2,relation_field(X1))=>in(ordered_pair(X2,X2),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l1_wellord1)).
% 282.18/198.89 fof(d9_waybel_9, axiom, ![X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X1))=>(is_a_cluster_point_of_netstr(X1,X2,X3)<=>![X4]:(point_neighbourhood(X4,X1,X3)=>is_often_in(X1,X2,X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d9_waybel_9)).
% 282.18/198.89 fof(s1_ordinal2__e18_27__finset_1, lemma, ((((in(empty_set,omega)=>![X1]:(element(X1,powerset(powerset(empty_set)))=>~((X1!=empty_set&![X2]:~((in(X2,X1)&![X3]:((in(X3,X1)&subset(X2,X3))=>X3=X2)))))))&![X4]:(ordinal(X4)=>((in(X4,omega)=>![X5]:(element(X5,powerset(powerset(X4)))=>~((X5!=empty_set&![X6]:~((in(X6,X5)&![X7]:((in(X7,X5)&subset(X6,X7))=>X7=X6)))))))=>(in(succ(X4),omega)=>![X8]:(element(X8,powerset(powerset(succ(X4))))=>~((X8!=empty_set&![X9]:~((in(X9,X8)&![X10]:((in(X10,X8)&subset(X9,X10))=>X10=X9))))))))))&![X4]:(ordinal(X4)=>((being_limit_ordinal(X4)&![X11]:(ordinal(X11)=>(in(X11,X4)=>(in(X11,omega)=>![X12]:(element(X12,powerset(powerset(X11)))=>~((X12!=empty_set&![X13]:~((in(X13,X12)&![X14]:((in(X14,X12)&subset(X13,X14))=>X14=X13))))))))))=>(X4=empty_set|(in(X4,omega)=>![X15]:(element(X15,powerset(powerset(X4)))=>~((X15!=empty_set&![X16]:~((in(X16,X15)&![X17]:((in(X17,X15)&subset(X16,X17))=>X17=X16)))))))))))=>![X4]:(ordinal(X4)=>(in(X4,omega)=>![X18]:(element(X18,powerset(powerset(X4)))=>~((X18!=empty_set&![X19]:~((in(X19,X18)&![X20]:((in(X20,X18)&subset(X19,X20))=>X20=X19))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_ordinal2__e18_27__finset_1)).
% 282.18/198.89 fof(d2_mcart_1, axiom, ![X1]:(?[X2, X3]:X1=ordered_pair(X2,X3)=>![X2]:(X2=pair_second(X1)<=>![X3, X4]:(X1=ordered_pair(X3,X4)=>X2=X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_mcart_1)).
% 282.18/198.89 fof(d1_mcart_1, axiom, ![X1]:(?[X2, X3]:X1=ordered_pair(X2,X3)=>![X2]:(X2=pair_first(X1)<=>![X3, X4]:(X1=ordered_pair(X3,X4)=>X2=X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_mcart_1)).
% 282.18/198.89 fof(d9_orders_2, axiom, ![X1]:(rel_str(X1)=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>(related(X1,X2,X3)<=>in(ordered_pair(X2,X3),the_InternalRel(X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d9_orders_2)).
% 282.18/198.89 fof(d17_lattice3, axiom, ![X1]:((~(empty_carrier(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(latt_element_smaller(X1,X2,X3)<=>![X4]:(element(X4,the_carrier(X1))=>(in(X4,X3)=>below(X1,X4,X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d17_lattice3)).
% 282.18/198.89 fof(d16_lattice3, axiom, ![X1]:((~(empty_carrier(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(latt_set_smaller(X1,X2,X3)<=>![X4]:(element(X4,the_carrier(X1))=>(in(X4,X3)=>below(X1,X2,X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d16_lattice3)).
% 282.18/198.89 fof(d8_lattices, axiom, ![X1]:((~(empty_carrier(X1))&latt_str(X1))=>(meet_absorbing(X1)<=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>join(X1,meet(X1,X2,X3),X3)=X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_lattices)).
% 282.18/198.89 fof(t7_lattice3, lemma, ![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>(below_refl(X1,X2,X3)<=>related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_lattice3)).
% 282.18/198.89 fof(t30_yellow_6, lemma, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((((~(empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(is_often_in(X1,X2,X3)=>(~(empty_carrier(preimage_subnetstr(X1,X2,X3)))&directed_relstr(preimage_subnetstr(X1,X2,X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t30_yellow_6)).
% 282.18/198.89 fof(s1_tarski__e8_6__wellord2__1, axiom, ![X1, X2]:(ordinal(X2)=>(![X3, X4, X5]:((((X3=X4&?[X6]:((ordinal(X6)&X4=X6)&in(X6,X1)))&X3=X5)&?[X7]:((ordinal(X7)&X5=X7)&in(X7,X1)))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:((in(X5,succ(X2))&X5=X4)&?[X8]:((ordinal(X8)&X4=X8)&in(X8,X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e8_6__wellord2__1)).
% 282.18/198.89 fof(d16_lattices, axiom, ![X1]:((~(empty_carrier(X1))&meet_semilatt_str(X1))=>(lower_bounded_semilattstr(X1)=>![X2]:(element(X2,the_carrier(X1))=>(X2=bottom_of_semilattstr(X1)<=>![X3]:(element(X3,the_carrier(X1))=>(meet(X1,X2,X3)=X2&meet(X1,X3,X2)=X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d16_lattices)).
% 282.18/198.89 fof(t91_tmap_1, lemma, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>apply_as_element(the_carrier(X1),the_carrier(X1),identity_on_carrier(X1),X2)=X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t91_tmap_1)).
% 282.18/198.89 fof(t2_yellow_1, lemma, ![X1, X2]:(element(X2,the_carrier(boole_POSet(X1)))=>![X3]:(element(X3,the_carrier(boole_POSet(X1)))=>(related_reflexive(boole_POSet(X1),X2,X3)<=>subset(X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_yellow_1)).
% 282.18/198.89 fof(t4_yellow_1, lemma, ![X1]:boole_POSet(X1)=incl_POSet(powerset(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t4_yellow_1)).
% 282.18/198.89 fof(d13_lattices, axiom, ![X1]:((~(empty_carrier(X1))&meet_semilatt_str(X1))=>(lower_bounded_semilattstr(X1)<=>?[X2]:(element(X2,the_carrier(X1))&![X3]:(element(X3,the_carrier(X1))=>(meet(X1,X2,X3)=X2&meet(X1,X3,X2)=X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d13_lattices)).
% 282.18/198.89 fof(t6_yellow_6, lemma, ![X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))=>![X2]:(element(X2,powerset(the_carrier(X1)))=>![X3]:(element(X3,the_carrier(X1))=>(in(X3,topstr_closure(X1,X2))<=>![X4]:(point_neighbourhood(X4,X1,X3)=>~(disjoint(X4,X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t6_yellow_6)).
% 282.18/198.89 fof(d1_relat_1, axiom, ![X1]:(relation(X1)<=>![X2]:~((in(X2,X1)&![X3, X4]:X2!=ordered_pair(X3,X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_relat_1)).
% 282.18/198.89 fof(t31_yellow_6, lemma, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((((~(empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(is_often_in(X1,X2,X3)=>subnet(preimage_subnetstr(X1,X2,X3),X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t31_yellow_6)).
% 282.18/198.89 fof(t11_waybel_7, lemma, ![X1, X2]:(element(X2,powerset(the_carrier(boole_POSet(X1))))=>(upper_relstr_subset(X2,boole_POSet(X1))<=>![X3, X4]:(((subset(X3,X4)&subset(X4,X1))&in(X3,X2))=>in(X4,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t11_waybel_7)).
% 282.18/198.89 fof(t1_waybel_0, lemma, ![X1]:(((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))=>![X2]:(element(X2,powerset(the_carrier(X1)))=>((~(empty(X2))&directed_subset(X2,X1))<=>![X3]:((finite(X3)&element(X3,powerset(X2)))=>?[X4]:((element(X4,the_carrier(X1))&in(X4,X2))&relstr_set_smaller(X1,X3,X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_waybel_0)).
% 282.18/198.89 fof(t32_yellow_6, lemma, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((((~(empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3, X4]:(subnet(X4,X1,X2)=>(X4=preimage_subnetstr(X1,X2,X3)=>is_eventually_in(X1,X4,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t32_yellow_6)).
% 282.18/198.89 fof(t106_zfmisc_1, lemma, ![X1, X2, X3, X4]:(in(ordered_pair(X1,X2),cartesian_product2(X3,X4))<=>(in(X1,X3)&in(X2,X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t106_zfmisc_1)).
% 282.18/198.89 fof(l55_zfmisc_1, lemma, ![X1, X2, X3, X4]:(in(ordered_pair(X1,X2),cartesian_product2(X3,X4))<=>(in(X1,X3)&in(X2,X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l55_zfmisc_1)).
% 282.18/198.89 fof(t8_funct_1, lemma, ![X1, X2, X3]:((relation(X3)&function(X3))=>(in(ordered_pair(X1,X2),X3)<=>(in(X1,relation_dom(X3))&X2=apply(X3,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_funct_1)).
% 282.18/198.89 fof(t26_lattices, lemma, ![X1]:(((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>((below(X1,X2,X3)&below(X1,X3,X2))=>X2=X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t26_lattices)).
% 282.18/198.89 fof(t31_lattice3, lemma, ![X1, X2]:(((~(empty_carrier(X2))&lattice(X2))&latt_str(X2))=>![X3]:(element(X3,the_carrier(poset_of_lattice(X2)))=>(relstr_set_smaller(poset_of_lattice(X2),X1,X3)<=>latt_element_smaller(X2,cast_to_el_of_lattice(X2,X3),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t31_lattice3)).
% 282.18/198.89 fof(t29_lattice3, lemma, ![X1, X2]:(((~(empty_carrier(X2))&lattice(X2))&latt_str(X2))=>![X3]:(element(X3,the_carrier(poset_of_lattice(X2)))=>(relstr_element_smaller(poset_of_lattice(X2),X1,X3)<=>latt_set_smaller(X2,cast_to_el_of_lattice(X2,X3),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t29_lattice3)).
% 282.18/198.89 fof(t20_relat_1, lemma, ![X1, X2, X3]:(relation(X3)=>(in(ordered_pair(X1,X2),X3)=>(in(X1,relation_dom(X3))&in(X2,relation_rng(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t20_relat_1)).
% 282.18/198.89 fof(t30_relat_1, lemma, ![X1, X2, X3]:(relation(X3)=>(in(ordered_pair(X1,X2),X3)=>(in(X1,relation_field(X3))&in(X2,relation_field(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t30_relat_1)).
% 282.18/198.89 fof(fc22_waybel_9, axiom, ![X1, X2, X3]:((((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&directed_relstr(X2))&net_str(X2,X1))&element(X3,the_carrier(X2)))=>(~(empty_carrier(netstr_restr_to_element(X1,X2,X3)))&strict_net_str(netstr_restr_to_element(X1,X2,X3),X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc22_waybel_9)).
% 282.18/198.89 fof(t41_ordinal1, lemma, ![X1]:(ordinal(X1)=>(being_limit_ordinal(X1)<=>![X2]:(ordinal(X2)=>(in(X2,X1)=>in(succ(X2),X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t41_ordinal1)).
% 282.18/198.89 fof(t23_lattices, lemma, ![X1]:((((~(empty_carrier(X1))&meet_commutative(X1))&meet_absorbing(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>below(X1,meet_commut(X1,X2,X3),X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t23_lattices)).
% 282.18/198.89 fof(fraenkel_a_2_3_lattice3, axiom, ![X1, X2, X3]:((((~(empty_carrier(X2))&lattice(X2))&complete_latt_str(X2))&latt_str(X2))=>(in(X1,a_2_3_lattice3(X2,X3))<=>?[X4]:((element(X4,the_carrier(X2))&X1=X4)&latt_set_smaller(X2,X4,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fraenkel_a_2_3_lattice3)).
% 282.18/198.89 fof(d5_yellow_6, axiom, ![X1]:((~(empty_carrier(X1))&rel_str(X1))=>(directed_relstr(X1)<=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>?[X4]:((element(X4,the_carrier(X1))&related(X1,X2,X4))&related(X1,X3,X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_yellow_6)).
% 282.18/198.89 fof(cc6_funct_2, axiom, ![X1, X2]:((~(empty(X1))&~(empty(X2)))=>![X3]:(relation_of2(X3,X1,X2)=>((function(X3)&quasi_total(X3,X1,X2))=>(((function(X3)&~(empty(X3)))&v1_partfun1(X3,X1,X2))&quasi_total(X3,X1,X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc6_funct_2)).
% 282.18/198.89 fof(t30_lattice3, lemma, ![X1, X2]:(((~(empty_carrier(X2))&lattice(X2))&latt_str(X2))=>![X3]:(element(X3,the_carrier(X2))=>(latt_element_smaller(X2,X3,X1)<=>relstr_set_smaller(poset_of_lattice(X2),X1,cast_to_el_of_LattPOSet(X2,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t30_lattice3)).
% 282.18/198.89 fof(t28_lattice3, lemma, ![X1, X2]:(((~(empty_carrier(X2))&lattice(X2))&latt_str(X2))=>![X3]:(element(X3,the_carrier(X2))=>(latt_set_smaller(X2,X3,X1)<=>relstr_element_smaller(poset_of_lattice(X2),X1,cast_to_el_of_LattPOSet(X2,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t28_lattice3)).
% 282.18/198.89 fof(redefinition_r3_lattices, axiom, ![X1, X2, X3]:(((((((~(empty_carrier(X1))&meet_commutative(X1))&meet_absorbing(X1))&join_absorbing(X1))&latt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>(below_refl(X1,X2,X3)<=>below(X1,X2,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_r3_lattices)).
% 282.18/198.89 fof(cc5_funct_2, axiom, ![X1, X2]:(~(empty(X2))=>![X3]:(relation_of2(X3,X1,X2)=>((function(X3)&quasi_total(X3,X1,X2))=>((function(X3)&v1_partfun1(X3,X1,X2))&quasi_total(X3,X1,X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc5_funct_2)).
% 282.18/198.89 fof(t12_waybel_9, lemma, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>the_carrier(netstr_restr_to_element(X1,X2,X3))=a_3_0_waybel_9(X1,X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t12_waybel_9)).
% 282.18/198.89 fof(fraenkel_a_2_2_lattice3, axiom, ![X1, X2, X3]:((~(empty_carrier(X2))&latt_str(X2))=>(in(X1,a_2_2_lattice3(X2,X3))<=>?[X4]:((element(X4,the_carrier(X2))&X1=X4)&latt_set_smaller(X2,X4,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fraenkel_a_2_2_lattice3)).
% 282.18/198.89 fof(d1_connsp_2, axiom, ![X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,powerset(the_carrier(X1)))=>(point_neighbourhood(X3,X1,X2)<=>in(X2,interior(X1,X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_connsp_2)).
% 282.18/198.89 fof(s1_xboole_0__e8_6__wellord2__1, lemma, ![X1, X2]:(ordinal(X2)=>?[X3]:![X4]:(in(X4,X3)<=>(in(X4,succ(X2))&?[X5]:((ordinal(X5)&X4=X5)&in(X5,X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e8_6__wellord2__1)).
% 282.18/198.89 fof(t8_waybel_7, lemma, ![X1]:((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))=>![X2]:((((~(empty(X2))&filtered_subset(X2,X1))&upper_relstr_subset(X2,X1))&element(X2,powerset(the_carrier(X1))))=>(proper_element(X2,powerset(the_carrier(X1)))<=>~(in(bottom_of_relstr(X1),X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_waybel_7)).
% 282.18/198.89 fof(redefinition_r3_orders_2, axiom, ![X1, X2, X3]:(((((~(empty_carrier(X1))&reflexive_relstr(X1))&rel_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>(related_reflexive(X1,X2,X3)<=>related(X1,X2,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_r3_orders_2)).
% 282.18/198.89 fof(d3_lattices, axiom, ![X1]:((~(empty_carrier(X1))&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>(below(X1,X2,X3)<=>join(X1,X2,X3)=X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_lattices)).
% 282.18/198.89 fof(dt_k2_struct_0, axiom, ![X1, X2, X3]:((((~(empty_carrier(X1))&one_sorted_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>element(unordered_pair_as_carrier_subset(X1,X2,X3),powerset(the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_struct_0)).
% 282.18/198.89 fof(t41_yellow_6, lemma, ![X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))=>![X2]:((((~(empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(subnet(X3,X1,X2)=>subset(lim_points_of_net(X1,X2),lim_points_of_net(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t41_yellow_6)).
% 282.18/198.89 fof(d1_binop_1, axiom, ![X1]:((relation(X1)&function(X1))=>![X2, X3]:apply_binary(X1,X2,X3)=apply(X1,ordered_pair(X2,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_binop_1)).
% 282.18/198.89 fof(t29_waybel_9, lemma, ![X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))=>![X2]:((((~(empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X1))=>(in(X3,lim_points_of_net(X1,X2))=>is_a_cluster_point_of_netstr(X1,X2,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t29_waybel_9)).
% 282.18/198.89 fof(dt_k4_lattices, axiom, ![X1, X2, X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>element(meet_commut(X1,X2,X3),the_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k4_lattices)).
% 282.18/198.89 fof(dt_k3_lattices, axiom, ![X1, X2, X3]:(((((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>element(join_commut(X1,X2,X3),the_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k3_lattices)).
% 282.18/198.89 fof(t33_zfmisc_1, lemma, ![X1, X2, X3, X4]:(ordered_pair(X1,X2)=ordered_pair(X3,X4)=>(X1=X3&X2=X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t33_zfmisc_1)).
% 282.18/198.89 fof(dt_k1_lattices, axiom, ![X1, X2, X3]:((((~(empty_carrier(X1))&join_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>element(join(X1,X2,X3),the_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k1_lattices)).
% 282.18/198.89 fof(dt_k2_lattices, axiom, ![X1, X2, X3]:((((~(empty_carrier(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>element(meet(X1,X2,X3),the_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_lattices)).
% 282.18/198.89 fof(t1_lattice3, lemma, ![X1, X2]:(element(X2,the_carrier(boole_lattice(X1)))=>![X3]:(element(X3,the_carrier(boole_lattice(X1)))=>(join(boole_lattice(X1),X2,X3)=set_union2(X2,X3)&meet(boole_lattice(X1),X2,X3)=set_intersection2(X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_lattice3)).
% 282.18/198.89 fof(t5_connsp_2, lemma, ![X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))=>![X2]:(element(X2,powerset(the_carrier(X1)))=>![X3]:(element(X3,the_carrier(X1))=>((open_subset(X2,X1)&in(X3,X2))=>point_neighbourhood(X2,X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_connsp_2)).
% 282.18/198.89 fof(t8_waybel_0, lemma, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3, X4]:(subset(X3,X4)=>((is_eventually_in(X1,X2,X3)=>is_eventually_in(X1,X2,X4))&(is_often_in(X1,X2,X3)=>is_often_in(X1,X2,X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_waybel_0)).
% 282.18/198.89 fof(l40_tops_1, lemma, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:(element(X2,powerset(the_carrier(X1)))=>![X3]:(element(X3,the_carrier(X1))=>(in(X3,subset_complement(the_carrier(X1),X2))<=>~(in(X3,X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l40_tops_1)).
% 282.18/198.89 fof(dt_k3_waybel_0, axiom, ![X1, X2, X3]:(((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&net_str(X2,X1))&element(X3,the_carrier(X2)))=>element(apply_netmap(X1,X2,X3),the_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k3_waybel_0)).
% 282.18/198.89 fof(t28_yellow_6, lemma, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((((~(empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(is_eventually_in(X1,X2,X3)=>is_often_in(X1,X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t28_yellow_6)).
% 282.18/198.89 fof(t26_xboole_1, lemma, ![X1, X2, X3]:(subset(X1,X2)=>subset(set_intersection2(X1,X3),set_intersection2(X2,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t26_xboole_1)).
% 282.18/198.89 fof(redefinition_k3_lattices, axiom, ![X1, X2, X3]:(((((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>join_commut(X1,X2,X3)=join(X1,X2,X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k3_lattices)).
% 282.18/198.89 fof(redefinition_k4_lattices, axiom, ![X1, X2, X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>meet_commut(X1,X2,X3)=meet(X1,X2,X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k4_lattices)).
% 282.18/198.89 fof(commutativity_k4_lattices, axiom, ![X1, X2, X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k4_lattices)).
% 282.18/198.89 fof(commutativity_k3_lattices, axiom, ![X1, X2, X3]:(((((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>join_commut(X1,X2,X3)=join_commut(X1,X3,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k3_lattices)).
% 282.18/198.89 fof(dt_k5_waybel_9, axiom, ![X1, X2, X3]:(((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&net_str(X2,X1))&element(X3,the_carrier(X2)))=>(strict_net_str(netstr_restr_to_element(X1,X2,X3),X1)&net_str(netstr_restr_to_element(X1,X2,X3),X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_waybel_9)).
% 282.18/198.89 fof(commutativity_k2_struct_0, axiom, ![X1, X2, X3]:((((~(empty_carrier(X1))&one_sorted_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>unordered_pair_as_carrier_subset(X1,X2,X3)=unordered_pair_as_carrier_subset(X1,X3,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_struct_0)).
% 282.18/198.89 fof(t13_compts_1, lemma, ![X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))=>(compact_top_space(X1)<=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>~(((centered(X2)&closed_subsets(X2,X1))&meet_of_subsets(the_carrier(X1),X2)=empty_set))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t13_compts_1)).
% 282.18/198.89 fof(t33_ordinal1, lemma, ![X1]:(ordinal(X1)=>![X2]:(ordinal(X2)=>(in(X1,X2)<=>ordinal_subset(succ(X1),X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t33_ordinal1)).
% 282.18/198.89 fof(t47_setfam_1, lemma, ![X1, X2]:(element(X2,powerset(powerset(X1)))=>(X2!=empty_set=>subset_difference(X1,cast_to_subset(X1),union_of_subsets(X1,X2))=meet_of_subsets(X1,complements_of_subsets(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t47_setfam_1)).
% 282.18/198.89 fof(d4_subset_1, axiom, ![X1]:cast_to_subset(X1)=X1, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_subset_1)).
% 282.18/198.89 fof(t48_setfam_1, lemma, ![X1, X2]:(element(X2,powerset(powerset(X1)))=>(X2!=empty_set=>union_of_subsets(X1,complements_of_subsets(X1,X2))=subset_difference(X1,cast_to_subset(X1),meet_of_subsets(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t48_setfam_1)).
% 282.18/198.89 fof(dt_m1_connsp_2, axiom, ![X1, X2]:((((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))&element(X2,the_carrier(X1)))=>![X3]:(point_neighbourhood(X3,X1,X2)=>element(X3,powerset(the_carrier(X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_m1_connsp_2)).
% 282.18/198.89 fof(redefinition_k5_subset_1, axiom, ![X1, X2, X3]:((element(X2,powerset(X1))&element(X3,powerset(X1)))=>subset_intersection2(X1,X2,X3)=set_intersection2(X2,X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k5_subset_1)).
% 282.18/198.89 fof(dt_m2_yellow_6, axiom, ![X1, X2]:((((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(subnet(X3,X1,X2)=>(((~(empty_carrier(X3))&transitive_relstr(X3))&directed_relstr(X3))&net_str(X3,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_m2_yellow_6)).
% 282.18/198.89 fof(reflexivity_r3_lattices, axiom, ![X1, X2, X3]:(((((((~(empty_carrier(X1))&meet_commutative(X1))&meet_absorbing(X1))&join_absorbing(X1))&latt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>below_refl(X1,X2,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r3_lattices)).
% 282.18/198.89 fof(t145_relat_1, lemma, ![X1, X2]:(relation(X2)=>relation_image(X2,X1)=relation_image(X2,set_intersection2(relation_dom(X2),X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t145_relat_1)).
% 282.18/198.89 fof(redefinition_k2_struct_0, axiom, ![X1, X2, X3]:((((~(empty_carrier(X1))&one_sorted_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>unordered_pair_as_carrier_subset(X1,X2,X3)=unordered_pair(X2,X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k2_struct_0)).
% 282.18/198.89 fof(fc1_orders_2, axiom, ![X1, X2]:((~(empty(X1))&relation_of2(X2,X1,X1))=>(~(empty_carrier(rel_str_of(X1,X2)))&strict_rel_str(rel_str_of(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_orders_2)).
% 282.18/198.89 fof(reflexivity_r3_orders_2, axiom, ![X1, X2, X3]:(((((~(empty_carrier(X1))&reflexive_relstr(X1))&rel_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>related_reflexive(X1,X2,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r3_orders_2)).
% 282.18/198.89 fof(t19_xboole_1, lemma, ![X1, X2, X3]:((subset(X1,X2)&subset(X1,X3))=>subset(X1,set_intersection2(X2,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t19_xboole_1)).
% 282.18/198.89 fof(fc5_lattice2, axiom, ![X1]:(((~(empty_carrier(X1))&meet_associative(X1))&meet_semilatt_str(X1))=>((((relation(the_L_meet(X1))&function(the_L_meet(X1)))&quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))&v2_binop_1(the_L_meet(X1),the_carrier(X1)))&v1_partfun1(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc5_lattice2)).
% 282.18/198.89 fof(fc4_lattice2, axiom, ![X1]:(((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))=>((((relation(the_L_meet(X1))&function(the_L_meet(X1)))&quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))&v1_binop_1(the_L_meet(X1),the_carrier(X1)))&v1_partfun1(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc4_lattice2)).
% 282.18/198.89 fof(fc3_lattice2, axiom, ![X1]:(((~(empty_carrier(X1))&join_associative(X1))&join_semilatt_str(X1))=>((((relation(the_L_join(X1))&function(the_L_join(X1)))&quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))&v2_binop_1(the_L_join(X1),the_carrier(X1)))&v1_partfun1(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc3_lattice2)).
% 282.18/198.89 fof(fc2_lattice2, axiom, ![X1]:(((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))=>((((relation(the_L_join(X1))&function(the_L_join(X1)))&quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))&v1_binop_1(the_L_join(X1),the_carrier(X1)))&v1_partfun1(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_lattice2)).
% 282.18/198.89 fof(t7_mcart_1, lemma, ![X1, X2]:(pair_first(ordered_pair(X1,X2))=X1&pair_second(ordered_pair(X1,X2))=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_mcart_1)).
% 282.18/198.89 fof(existence_m2_yellow_6, axiom, ![X1, X2]:((((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>?[X3]:subnet(X3,X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_m2_yellow_6)).
% 282.18/198.89 fof(existence_m1_connsp_2, axiom, ![X1, X2]:((((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))&element(X2,the_carrier(X1)))=>?[X3]:point_neighbourhood(X3,X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_m1_connsp_2)).
% 282.18/198.89 fof(fc15_yellow_6, axiom, ![X1, X2]:((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&net_str(X2,X1))=>(((~(empty(the_mapping(X1,X2)))&relation(the_mapping(X1,X2)))&function(the_mapping(X1,X2)))&quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc15_yellow_6)).
% 282.18/198.89 fof(s2_funct_1__e16_22__wellord2__1, lemma, ![X1]:((![X2, X3, X4]:(((in(X2,X1)&X3=singleton(X2))&X4=singleton(X2))=>X3=X4)&![X2]:~((in(X2,X1)&![X3]:X3!=singleton(X2))))=>?[X2]:(((relation(X2)&function(X2))&relation_dom(X2)=X1)&![X3]:(in(X3,X1)=>apply(X2,X3)=singleton(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s2_funct_1__e16_22__wellord2__1)).
% 282.18/198.89 fof(t53_wellord1, lemma, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>![X3]:((relation(X3)&function(X3))=>(relation_isomorphism(X1,X2,X3)=>(((((reflexive(X1)=>reflexive(X2))&(transitive(X1)=>transitive(X2)))&(connected(X1)=>connected(X2)))&(antisymmetric(X1)=>antisymmetric(X2)))&(well_founded_relation(X1)=>well_founded_relation(X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t53_wellord1)).
% 282.18/198.89 fof(l3_zfmisc_1, lemma, ![X1, X2, X3]:(subset(X1,X2)=>(in(X3,X1)|subset(X1,set_difference(X2,singleton(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l3_zfmisc_1)).
% 282.18/198.89 fof(t5_tops_2, lemma, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>~((is_a_cover_of_carrier(X1,X2)&X2=empty_set)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_tops_2)).
% 282.18/198.89 fof(t44_yellow_0, lemma, ![X1]:((((~(empty_carrier(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>related(X1,bottom_of_relstr(X1),X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t44_yellow_0)).
% 282.18/198.89 fof(dt_k11_yellow_6, axiom, ![X1, X2]:(((((((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))&~(empty_carrier(X2)))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>element(lim_points_of_net(X1,X2),powerset(the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k11_yellow_6)).
% 282.18/198.89 fof(dt_k5_lattice3, axiom, ![X1, X2]:((((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))&element(X2,the_carrier(poset_of_lattice(X1))))=>element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_lattice3)).
% 282.18/198.89 fof(rc7_yellow_6, axiom, ![X1, X2]:(((one_sorted_str(X1)&~(empty_carrier(X2)))&net_str(X2,X1))=>?[X3]:(((subnetstr(X3,X1,X2)&~(empty_carrier(X3)))&strict_net_str(X3,X1))&full_subnetstr(X3,X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc7_yellow_6)).
% 282.18/198.89 fof(d6_wellord1, axiom, ![X1]:(relation(X1)=>![X2]:relation_restriction(X1,X2)=set_intersection2(X1,cartesian_product2(X2,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d6_wellord1)).
% 282.18/198.89 fof(t50_subset_1, lemma, ![X1]:(X1!=empty_set=>![X2]:(element(X2,powerset(X1))=>![X3]:(element(X3,X1)=>(~(in(X3,X2))=>in(X3,subset_complement(X1,X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t50_subset_1)).
% 282.18/198.89 fof(dt_k4_lattice3, axiom, ![X1, X2]:((((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))&element(X2,the_carrier(X1)))=>element(cast_to_el_of_LattPOSet(X1,X2),the_carrier(poset_of_lattice(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k4_lattice3)).
% 282.18/198.89 fof(t6_zfmisc_1, lemma, ![X1, X2]:(subset(singleton(X1),singleton(X2))=>X1=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t6_zfmisc_1)).
% 282.18/198.89 fof(d1_tarski, axiom, ![X1, X2]:(X2=singleton(X1)<=>![X3]:(in(X3,X2)<=>X3=X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 282.18/198.89 fof(t28_wellord2, lemma, ![X1]:(~(empty(X1))=>~((![X2]:~((in(X2,X1)&X2=empty_set))&![X2]:((relation(X2)&function(X2))=>~((relation_dom(X2)=X1&![X3]:(in(X3,X1)=>in(apply(X2,X3),X3)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t28_wellord2)).
% 282.18/198.89 fof(fc1_relat_1, axiom, ![X1, X2]:((relation(X1)&relation(X2))=>relation(set_intersection2(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_relat_1)).
% 282.18/198.89 fof(t119_relat_1, lemma, ![X1, X2]:(relation(X2)=>relation_rng(relation_rng_restriction(X1,X2))=set_intersection2(relation_rng(X2),X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t119_relat_1)).
% 282.18/198.89 fof(t90_relat_1, lemma, ![X1, X2]:(relation(X2)=>relation_dom(relation_dom_restriction(X2,X1))=set_intersection2(relation_dom(X2),X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t90_relat_1)).
% 282.18/198.89 fof(t9_tarski, axiom, ![X1]:?[X2]:(((in(X1,X2)&![X3, X4]:((in(X3,X2)&subset(X4,X3))=>in(X4,X2)))&![X3]:~((in(X3,X2)&![X4]:~((in(X4,X2)&![X5]:(subset(X5,X3)=>in(X5,X4)))))))&![X3]:~(((subset(X3,X2)&~(are_equipotent(X3,X2)))&~(in(X3,X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t9_tarski)).
% 282.18/198.89 fof(t17_xboole_1, lemma, ![X1, X2]:subset(set_intersection2(X1,X2),X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t17_xboole_1)).
% 282.18/198.89 fof(t10_ordinal1, lemma, ![X1]:in(X1,succ(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t10_ordinal1)).
% 282.18/198.89 fof(dt_k2_lattice3, axiom, ![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>((((reflexive(k2_lattice3(X1))&antisymmetric(k2_lattice3(X1)))&transitive(k2_lattice3(X1)))&v1_partfun1(k2_lattice3(X1),the_carrier(X1),the_carrier(X1)))&relation_of2_as_subset(k2_lattice3(X1),the_carrier(X1),the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_lattice3)).
% 282.18/198.89 fof(t15_finset_1, lemma, ![X1, X2]:(finite(X1)=>finite(set_intersection2(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t15_finset_1)).
% 282.18/198.89 fof(fc11_finset_1, axiom, ![X1, X2]:(finite(X1)=>finite(set_intersection2(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc11_finset_1)).
% 282.18/198.89 fof(fc10_finset_1, axiom, ![X1, X2]:(finite(X2)=>finite(set_intersection2(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc10_finset_1)).
% 282.18/198.89 fof(fc35_membered, axiom, ![X1, X2]:(v5_membered(X1)=>((((v1_membered(set_intersection2(X1,X2))&v2_membered(set_intersection2(X1,X2)))&v3_membered(set_intersection2(X1,X2)))&v4_membered(set_intersection2(X1,X2)))&v5_membered(set_intersection2(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc35_membered)).
% 282.18/198.89 fof(fc36_membered, axiom, ![X1, X2]:(v5_membered(X1)=>((((v1_membered(set_intersection2(X2,X1))&v2_membered(set_intersection2(X2,X1)))&v3_membered(set_intersection2(X2,X1)))&v4_membered(set_intersection2(X2,X1)))&v5_membered(set_intersection2(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc36_membered)).
% 282.18/198.89 fof(fc33_membered, axiom, ![X1, X2]:(v4_membered(X1)=>(((v1_membered(set_intersection2(X1,X2))&v2_membered(set_intersection2(X1,X2)))&v3_membered(set_intersection2(X1,X2)))&v4_membered(set_intersection2(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc33_membered)).
% 282.18/198.89 fof(fc34_membered, axiom, ![X1, X2]:(v4_membered(X1)=>(((v1_membered(set_intersection2(X2,X1))&v2_membered(set_intersection2(X2,X1)))&v3_membered(set_intersection2(X2,X1)))&v4_membered(set_intersection2(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc34_membered)).
% 282.18/198.89 fof(fc31_membered, axiom, ![X1, X2]:(v3_membered(X1)=>((v1_membered(set_intersection2(X1,X2))&v2_membered(set_intersection2(X1,X2)))&v3_membered(set_intersection2(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc31_membered)).
% 282.18/198.89 fof(fc32_membered, axiom, ![X1, X2]:(v3_membered(X1)=>((v1_membered(set_intersection2(X2,X1))&v2_membered(set_intersection2(X2,X1)))&v3_membered(set_intersection2(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc32_membered)).
% 282.18/198.89 fof(fc29_membered, axiom, ![X1, X2]:(v2_membered(X1)=>(v1_membered(set_intersection2(X1,X2))&v2_membered(set_intersection2(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc29_membered)).
% 282.18/198.89 fof(fc30_membered, axiom, ![X1, X2]:(v2_membered(X1)=>(v1_membered(set_intersection2(X2,X1))&v2_membered(set_intersection2(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc30_membered)).
% 282.18/198.89 fof(fc27_membered, axiom, ![X1, X2]:(v1_membered(X1)=>v1_membered(set_intersection2(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc27_membered)).
% 282.18/198.89 fof(fc28_membered, axiom, ![X1, X2]:(v1_membered(X1)=>v1_membered(set_intersection2(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc28_membered)).
% 282.18/198.89 fof(l30_wellord2, lemma, ![X1, X2]:(relation(X2)=>~(((well_ordering(X2)&equipotent(X1,relation_field(X2)))&![X3]:(relation(X3)=>~(well_orders(X3,X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l30_wellord2)).
% 282.18/198.89 fof(l25_zfmisc_1, lemma, ![X1, X2]:~((disjoint(singleton(X1),X2)&in(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l25_zfmisc_1)).
% 282.18/198.89 fof(d4_lattice3, axiom, ![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(poset_of_lattice(X1)))=>cast_to_el_of_lattice(X1,X2)=X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_lattice3)).
% 282.18/198.89 fof(cc1_waybel_3, axiom, ![X1]:(((~(empty_carrier(X1))&connected_relstr(X1))&rel_str(X1))=>![X2]:(element(X2,powerset(the_carrier(X1)))=>(directed_subset(X2,X1)&filtered_subset(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_waybel_3)).
% 282.18/198.89 fof(rc4_waybel_7, axiom, ![X1]:(((((((~(empty_carrier(X1))&~(trivial_carrier(X1)))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&upper_bounded_relstr(X1))&rel_str(X1))=>?[X2]:((((element(X2,powerset(the_carrier(X1)))&~(empty(X2)))&proper_element(X2,powerset(the_carrier(X1))))&filtered_subset(X2,X1))&upper_relstr_subset(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc4_waybel_7)).
% 282.18/198.89 fof(d3_ordinal1, axiom, ![X1]:(epsilon_connected(X1)<=>![X2, X3]:~(((((in(X2,X1)&in(X3,X1))&~(in(X2,X3)))&X2!=X3)&~(in(X3,X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_ordinal1)).
% 282.18/198.89 fof(t39_zfmisc_1, lemma, ![X1, X2]:(subset(X1,singleton(X2))<=>(X1=empty_set|X1=singleton(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t39_zfmisc_1)).
% 282.18/198.89 fof(l4_zfmisc_1, lemma, ![X1, X2]:(subset(X1,singleton(X2))<=>(X1=empty_set|X1=singleton(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l4_zfmisc_1)).
% 282.18/198.89 fof(commutativity_k3_xboole_0, axiom, ![X1, X2]:set_intersection2(X1,X2)=set_intersection2(X2,X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k3_xboole_0)).
% 282.18/198.89 fof(t37_zfmisc_1, lemma, ![X1, X2]:(subset(singleton(X1),X2)<=>in(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t37_zfmisc_1)).
% 282.18/198.89 fof(l2_zfmisc_1, lemma, ![X1, X2]:(subset(singleton(X1),X2)<=>in(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l2_zfmisc_1)).
% 282.18/198.89 fof(d7_xboole_0, axiom, ![X1, X2]:(disjoint(X1,X2)<=>set_intersection2(X1,X2)=empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d7_xboole_0)).
% 282.18/198.89 fof(t136_zfmisc_1, lemma, ![X1]:?[X2]:(((in(X1,X2)&![X3, X4]:((in(X3,X2)&subset(X4,X3))=>in(X4,X2)))&![X3]:(in(X3,X2)=>in(powerset(X3),X2)))&![X3]:~(((subset(X3,X2)&~(are_equipotent(X3,X2)))&~(in(X3,X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t136_zfmisc_1)).
% 282.18/198.89 fof(cc9_waybel_1, axiom, ![X1]:(rel_str(X1)=>(((((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&bounded_relstr(X1))&distributive_relstr(X1))&complemented_relstr(X1))=>(((((((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&distributive_relstr(X1))&complemented_relstr(X1))&boolean_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc9_waybel_1)).
% 282.18/198.89 fof(dt_k1_yellow_1, axiom, ![X1]:((((reflexive(inclusion_order(X1))&antisymmetric(inclusion_order(X1)))&transitive(inclusion_order(X1)))&v1_partfun1(inclusion_order(X1),X1,X1))&relation_of2_as_subset(inclusion_order(X1),X1,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k1_yellow_1)).
% 282.18/198.89 fof(rc3_waybel_7, axiom, ![X1]:(one_sorted_str(X1)=>?[X2]:((element(X2,powerset(powerset(the_carrier(X1))))&~(empty(X2)))&finite(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc3_waybel_7)).
% 282.18/198.89 fof(t3_xboole_0, lemma, ![X1, X2]:(~((~(disjoint(X1,X2))&![X3]:~((in(X3,X1)&in(X3,X2)))))&~((?[X3]:(in(X3,X1)&in(X3,X2))&disjoint(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_xboole_0)).
% 282.18/198.89 fof(d3_lattice3, axiom, ![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>cast_to_el_of_LattPOSet(X1,X2)=X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_lattice3)).
% 282.18/198.89 fof(d22_lattice3, axiom, ![X1]:((~(empty_carrier(X1))&latt_str(X1))=>![X2]:meet_of_latt_set(X1,X2)=join_of_latt_set(X1,a_2_2_lattice3(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d22_lattice3)).
% 282.18/198.89 fof(rc10_waybel_0, axiom, ![X1]:((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&rel_str(X1))=>?[X2]:(((element(X2,powerset(the_carrier(X1)))&~(empty(X2)))&filtered_subset(X2,X1))&upper_relstr_subset(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc10_waybel_0)).
% 282.18/198.89 fof(cc4_waybel_4, axiom, ![X1]:(rel_str(X1)=>(((((((reflexive_relstr(X1)&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&v3_waybel_3(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))=>((((((((((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1))&~(v1_yellow_3(X1)))&v1_waybel_2(X1))&v2_waybel_2(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc4_waybel_4)).
% 282.18/198.89 fof(cc5_waybel_3, axiom, ![X1]:(rel_str(X1)=>(((((((reflexive_relstr(X1)&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&lower_bounded_relstr(X1))&up_complete_relstr(X1))&v2_waybel_3(X1))=>((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&lower_bounded_relstr(X1))&v3_waybel_3(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc5_waybel_3)).
% 282.18/198.89 fof(t46_zfmisc_1, lemma, ![X1, X2]:(in(X1,X2)=>set_union2(singleton(X1),X2)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t46_zfmisc_1)).
% 282.18/198.89 fof(l23_zfmisc_1, lemma, ![X1, X2]:(in(X1,X2)=>set_union2(singleton(X1),X2)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l23_zfmisc_1)).
% 282.18/198.89 fof(t28_xboole_1, lemma, ![X1, X2]:(subset(X1,X2)=>set_intersection2(X1,X2)=X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t28_xboole_1)).
% 282.18/198.89 fof(dt_k6_partfun1, axiom, ![X1]:(v1_partfun1(identity_as_relation_of(X1),X1,X1)&relation_of2_as_subset(identity_as_relation_of(X1),X1,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k6_partfun1)).
% 282.18/198.89 fof(redefinition_k6_partfun1, axiom, ![X1]:identity_as_relation_of(X1)=identity_relation(X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k6_partfun1)).
% 282.18/198.89 fof(t29_yellow_0, lemma, ![X1]:((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>![X2]:(join_of_latt_set(X1,X2)=join_on_relstr(poset_of_lattice(X1),X2)&meet_of_latt_set(X1,X2)=meet_on_relstr(poset_of_lattice(X1),X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t29_yellow_0)).
% 282.18/198.89 fof(cc2_lattices, axiom, ![X1]:(latt_str(X1)=>(((((((~(empty_carrier(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))=>(~(empty_carrier(X1))&lattice(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc2_lattices)).
% 282.18/198.89 fof(cc2_waybel_3, axiom, ![X1]:(rel_str(X1)=>(((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&connected_relstr(X1))&up_complete_relstr(X1))=>((((((((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&connected_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc2_waybel_3)).
% 282.18/198.89 fof(cc12_waybel_0, axiom, ![X1]:(rel_str(X1)=>(((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&lower_bounded_relstr(X1))&up_complete_relstr(X1))=>(((((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc12_waybel_0)).
% 282.18/198.89 fof(cc1_yellow_2, axiom, ![X1]:(rel_str(X1)=>(((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&upper_bounded_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1))=>(((((((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_yellow_2)).
% 282.18/198.89 fof(dt_k16_lattice3, axiom, ![X1, X2]:((~(empty_carrier(X1))&latt_str(X1))=>element(meet_of_latt_set(X1,X2),the_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k16_lattice3)).
% 282.18/198.89 fof(dt_k15_lattice3, axiom, ![X1, X2]:((~(empty_carrier(X1))&latt_str(X1))=>element(join_of_latt_set(X1,X2),the_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k15_lattice3)).
% 282.18/198.89 fof(rc7_pre_topc, axiom, ![X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))=>?[X2]:((element(X2,powerset(the_carrier(X1)))&~(empty(X2)))&closed_subset(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc7_pre_topc)).
% 282.18/198.89 fof(rc2_waybel_0, axiom, ![X1]:(((~(empty_carrier(X1))&reflexive_relstr(X1))&rel_str(X1))=>?[X2]:((((element(X2,powerset(the_carrier(X1)))&~(empty(X2)))&finite(X2))&directed_subset(X2,X1))&filtered_subset(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_waybel_0)).
% 282.18/198.89 fof(fc4_subset_1, axiom, ![X1, X2]:((~(empty(X1))&~(empty(X2)))=>~(empty(cartesian_product2(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc4_subset_1)).
% 282.18/198.89 fof(s3_funct_1__e16_22__wellord2, lemma, ![X1]:?[X2]:(((relation(X2)&function(X2))&relation_dom(X2)=X1)&![X3]:(in(X3,X1)=>apply(X2,X3)=singleton(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s3_funct_1__e16_22__wellord2)).
% 282.18/198.89 fof(dt_k8_filter_1, axiom, ![X1, X2]:((((~(empty_carrier(X1))&latt_str(X1))&~(empty_carrier(X2)))&latt_str(X2))=>(strict_latt_str(k8_filter_1(X1,X2))&latt_str(k8_filter_1(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k8_filter_1)).
% 282.18/198.89 fof(fc2_xboole_0, axiom, ![X1, X2]:(~(empty(X1))=>~(empty(set_union2(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_xboole_0)).
% 282.18/198.89 fof(fc3_xboole_0, axiom, ![X1, X2]:(~(empty(X1))=>~(empty(set_union2(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc3_xboole_0)).
% 282.18/198.89 fof(cc6_waybel_3, axiom, ![X1]:(rel_str(X1)=>((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&complete_relstr(X1))&connected_relstr(X1))=>(((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&connected_relstr(X1))&v2_waybel_3(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc6_waybel_3)).
% 282.18/198.89 fof(rc5_struct_0, axiom, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>?[X2]:(element(X2,powerset(the_carrier(X1)))&~(empty(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc5_struct_0)).
% 282.18/198.89 fof(d2_lattice3, axiom, ![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>poset_of_lattice(X1)=rel_str_of(the_carrier(X1),k2_lattice3(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_lattice3)).
% 282.18/198.89 fof(fc3_subset_1, axiom, ![X1, X2]:~(empty(unordered_pair(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc3_subset_1)).
% 282.18/198.89 fof(fc2_finset_1, axiom, ![X1, X2]:(~(empty(unordered_pair(X1,X2)))&finite(unordered_pair(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_finset_1)).
% 282.18/198.89 fof(t42_yellow_0, lemma, ![X1]:((((~(empty_carrier(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))=>(ex_sup_of_relstr_set(X1,empty_set)&ex_inf_of_relstr_set(X1,the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t42_yellow_0)).
% 282.18/198.89 fof(t8_zfmisc_1, lemma, ![X1, X2, X3]:(singleton(X1)=unordered_pair(X2,X3)=>X1=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_zfmisc_1)).
% 282.18/198.89 fof(t9_zfmisc_1, lemma, ![X1, X2, X3]:(singleton(X1)=unordered_pair(X2,X3)=>X2=X3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t9_zfmisc_1)).
% 282.18/198.89 fof(t24_ordinal1, lemma, ![X1]:(ordinal(X1)=>![X2]:(ordinal(X2)=>~(((~(in(X1,X2))&X1!=X2)&~(in(X2,X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t24_ordinal1)).
% 282.18/198.89 fof(antisymmetry_r2_xboole_0, axiom, ![X1, X2]:(proper_subset(X1,X2)=>~(proper_subset(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', antisymmetry_r2_xboole_0)).
% 282.18/198.89 fof(antisymmetry_r2_hidden, axiom, ![X1, X2]:(in(X1,X2)=>~(in(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', antisymmetry_r2_hidden)).
% 282.18/198.89 fof(cc14_waybel_0, axiom, ![X1]:(rel_str(X1)=>(((((~(empty_carrier(X1))&reflexive_relstr(X1))&antisymmetric_relstr(X1))&upper_bounded_relstr(X1))&join_complete_relstr(X1))=>((((~(empty_carrier(X1))&reflexive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&upper_bounded_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc14_waybel_0)).
% 282.18/198.89 fof(fc2_yellow_1, axiom, ![X1]:((((~(empty_carrier(X1))&lattice(X1))&upper_bounded_semilattstr(X1))&latt_str(X1))=>(((((((~(empty_carrier(poset_of_lattice(X1)))&strict_rel_str(poset_of_lattice(X1)))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))&upper_bounded_relstr(poset_of_lattice(X1)))&with_suprema_relstr(poset_of_lattice(X1)))&with_infima_relstr(poset_of_lattice(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_yellow_1)).
% 282.18/198.89 fof(fc3_yellow_1, axiom, ![X1]:((((~(empty_carrier(X1))&lattice(X1))&lower_bounded_semilattstr(X1))&latt_str(X1))=>(((((((~(empty_carrier(poset_of_lattice(X1)))&strict_rel_str(poset_of_lattice(X1)))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))&lower_bounded_relstr(poset_of_lattice(X1)))&with_suprema_relstr(poset_of_lattice(X1)))&with_infima_relstr(poset_of_lattice(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc3_yellow_1)).
% 282.18/198.89 fof(fc4_yellow_1, axiom, ![X1]:((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>((((((((((~(empty_carrier(poset_of_lattice(X1)))&strict_rel_str(poset_of_lattice(X1)))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))&lower_bounded_relstr(poset_of_lattice(X1)))&upper_bounded_relstr(poset_of_lattice(X1)))&bounded_relstr(poset_of_lattice(X1)))&with_suprema_relstr(poset_of_lattice(X1)))&with_infima_relstr(poset_of_lattice(X1)))&complete_relstr(poset_of_lattice(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc4_yellow_1)).
% 282.18/198.89 fof(t50_lattice3, lemma, ![X1]:((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>((((~(empty_carrier(X1))&lattice(X1))&lower_bounded_semilattstr(X1))&latt_str(X1))&bottom_of_semilattstr(X1)=join_of_latt_set(X1,empty_set))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t50_lattice3)).
% 282.18/198.89 fof(rc2_tex_2, axiom, ![X1]:?[X2]:(element(X2,powerset(X1))&~(proper_element(X2,powerset(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_tex_2)).
% 282.18/198.89 fof(d2_subset_1, axiom, ![X1, X2]:((~(empty(X1))=>(element(X2,X1)<=>in(X2,X1)))&(empty(X1)=>(element(X2,X1)<=>empty(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_subset_1)).
% 282.18/198.89 fof(idempotence_k3_xboole_0, axiom, ![X1, X2]:set_intersection2(X1,X1)=X1, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', idempotence_k3_xboole_0)).
% 282.18/198.89 fof(rc2_waybel_7, axiom, ![X1]:?[X2]:((element(X2,powerset(powerset(X1)))&~(empty(X2)))&finite(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_waybel_7)).
% 282.18/198.89 fof(dt_k1_pcomps_1, axiom, ![X1]:element(k1_pcomps_1(X1),powerset(powerset(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k1_pcomps_1)).
% 282.18/198.89 fof(redefinition_k1_pcomps_1, axiom, ![X1]:k1_pcomps_1(X1)=powerset(X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k1_pcomps_1)).
% 282.18/198.89 fof(dt_k5_lattices, axiom, ![X1]:((~(empty_carrier(X1))&meet_semilatt_str(X1))=>element(bottom_of_semilattstr(X1),the_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_lattices)).
% 282.18/198.89 fof(cc6_lattices, axiom, ![X1]:(latt_str(X1)=>((((~(empty_carrier(X1))&distributive_lattstr(X1))&bounded_lattstr(X1))&complemented_lattstr(X1))=>(~(empty_carrier(X1))&boolean_lattstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc6_lattices)).
% 282.18/198.89 fof(cc13_waybel_0, axiom, ![X1]:(rel_str(X1)=>((((~(empty_carrier(X1))&reflexive_relstr(X1))&antisymmetric_relstr(X1))&join_complete_relstr(X1))=>(((~(empty_carrier(X1))&reflexive_relstr(X1))&antisymmetric_relstr(X1))&with_infima_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc13_waybel_0)).
% 282.18/198.89 fof(t2_boole, axiom, ![X1]:set_intersection2(X1,empty_set)=empty_set, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_boole)).
% 282.18/198.89 fof(d1_yellow_1, axiom, ![X1]:incl_POSet(X1)=rel_str_of(X1,inclusion_order(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_yellow_1)).
% 282.18/198.89 fof(cc9_waybel_0, axiom, ![X1]:(rel_str(X1)=>(((reflexive_relstr(X1)&with_suprema_relstr(X1))&up_complete_relstr(X1))=>(((~(empty_carrier(X1))&reflexive_relstr(X1))&with_suprema_relstr(X1))&upper_bounded_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc9_waybel_0)).
% 282.18/198.89 fof(fc4_lattice3, axiom, ![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>((((~(empty_carrier(poset_of_lattice(X1)))&strict_rel_str(poset_of_lattice(X1)))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc4_lattice3)).
% 282.18/198.89 fof(fc1_yellow_1, axiom, ![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>((((((~(empty_carrier(poset_of_lattice(X1)))&strict_rel_str(poset_of_lattice(X1)))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))&with_suprema_relstr(poset_of_lattice(X1)))&with_infima_relstr(poset_of_lattice(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_yellow_1)).
% 282.18/198.89 fof(rc4_finset_1, axiom, ![X1]:(~(empty(X1))=>?[X2]:((element(X2,powerset(X1))&~(empty(X2)))&finite(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc4_finset_1)).
% 282.18/198.89 fof(rc3_finset_1, axiom, ![X1]:(~(empty(X1))=>?[X2]:((element(X2,powerset(X1))&~(empty(X2)))&finite(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc3_finset_1)).
% 282.18/198.89 fof(rc1_subset_1, axiom, ![X1]:(~(empty(X1))=>?[X2]:(element(X2,powerset(X1))&~(empty(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_subset_1)).
% 282.18/198.89 fof(cc7_lattices, axiom, ![X1]:(latt_str(X1)=>(((~(empty_carrier(X1))&lattice(X1))&distributive_lattstr(X1))=>((((((((~(empty_carrier(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))&lattice(X1))&modular_lattstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc7_lattices)).
% 282.18/198.89 fof(cc4_waybel_3, axiom, ![X1]:(rel_str(X1)=>(((~(empty_carrier(X1))&reflexive_relstr(X1))&v3_waybel_3(X1))=>(((~(empty_carrier(X1))&reflexive_relstr(X1))&up_complete_relstr(X1))&v2_waybel_3(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc4_waybel_3)).
% 282.18/198.89 fof(cc3_waybel_3, axiom, ![X1]:(rel_str(X1)=>(((~(empty_carrier(X1))&trivial_carrier(X1))&reflexive_relstr(X1))=>((~(empty_carrier(X1))&reflexive_relstr(X1))&v2_waybel_3(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc3_waybel_3)).
% 282.18/198.89 fof(cc5_waybel_0, axiom, ![X1]:(rel_str(X1)=>(((~(empty_carrier(X1))&reflexive_relstr(X1))&trivial_carrier(X1))=>((~(empty_carrier(X1))&reflexive_relstr(X1))&connected_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc5_waybel_0)).
% 282.18/198.89 fof(cc3_lattices, axiom, ![X1]:(latt_str(X1)=>(((~(empty_carrier(X1))&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1))=>(~(empty_carrier(X1))&bounded_lattstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc3_lattices)).
% 282.18/198.89 fof(cc1_knaster, axiom, ![X1]:(latt_str(X1)=>(((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))=>((((((((((~(empty_carrier(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))&lattice(X1))&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1))&bounded_lattstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_knaster)).
% 282.18/198.89 fof(cc11_waybel_0, axiom, ![X1]:(rel_str(X1)=>(((~(empty_carrier(X1))&reflexive_relstr(X1))&join_complete_relstr(X1))=>((~(empty_carrier(X1))&reflexive_relstr(X1))&lower_bounded_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc11_waybel_0)).
% 282.18/198.89 fof(cc2_yellow_0, axiom, ![X1]:(rel_str(X1)=>(((~(empty_carrier(X1))&reflexive_relstr(X1))&trivial_carrier(X1))=>((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&complete_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc2_yellow_0)).
% 282.18/198.89 fof(cc10_waybel_0, axiom, ![X1]:(rel_str(X1)=>(((~(empty_carrier(X1))&reflexive_relstr(X1))&complete_relstr(X1))=>(((~(empty_carrier(X1))&reflexive_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc10_waybel_0)).
% 282.18/198.89 fof(t7_wellord2, lemma, ![X1]:(ordinal(X1)=>well_ordering(inclusion_relation(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_wellord2)).
% 282.18/198.89 fof(t6_wellord2, lemma, ![X1]:(ordinal(X1)=>well_founded_relation(inclusion_relation(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t6_wellord2)).
% 282.18/198.89 fof(t4_wellord2, lemma, ![X1]:(ordinal(X1)=>connected(inclusion_relation(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t4_wellord2)).
% 282.18/198.89 fof(dt_k9_filter_1, axiom, ![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>relation(relation_of_lattice(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k9_filter_1)).
% 282.18/198.89 fof(dt_k3_lattice3, axiom, ![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>((((strict_rel_str(poset_of_lattice(X1))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))&rel_str(poset_of_lattice(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k3_lattice3)).
% 282.18/198.89 fof(fc13_yellow_3, axiom, ![X1]:((~(v1_yellow_3(X1))&rel_str(X1))=>(~(empty(the_InternalRel(X1)))&relation(the_InternalRel(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc13_yellow_3)).
% 282.18/198.89 fof(fc6_relat_1, axiom, ![X1]:((~(empty(X1))&relation(X1))=>~(empty(relation_rng(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc6_relat_1)).
% 282.18/198.89 fof(fc5_relat_1, axiom, ![X1]:((~(empty(X1))&relation(X1))=>~(empty(relation_dom(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc5_relat_1)).
% 282.18/198.89 fof(fc2_pre_topc, axiom, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>~(empty(cast_as_carrier_subset(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_pre_topc)).
% 282.18/198.89 fof(fc1_struct_0, axiom, ![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>~(empty(the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_struct_0)).
% 282.18/198.89 fof(d8_filter_1, axiom, ![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>relation_of_lattice(X1)=a_1_0_filter_1(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_filter_1)).
% 282.18/198.89 fof(redefinition_k2_lattice3, axiom, ![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>k2_lattice3(X1)=relation_of_lattice(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k2_lattice3)).
% 282.18/198.89 fof(t4_waybel_7, lemma, ![X1]:the_carrier(boole_POSet(X1))=powerset(X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t4_waybel_7)).
% 282.18/198.89 fof(cc3_yellow_3, axiom, ![X1]:(rel_str(X1)=>((~(empty_carrier(X1))&reflexive_relstr(X1))=>(~(empty_carrier(X1))&~(v1_yellow_3(X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc3_yellow_3)).
% 282.18/198.89 fof(d1_xboole_0, axiom, ![X1]:(X1=empty_set<=>![X2]:~(in(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_xboole_0)).
% 282.18/198.89 fof(cc8_waybel_1, axiom, ![X1]:(rel_str(X1)=>((~(empty_carrier(X1))&boolean_relstr(X1))=>((((((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&distributive_relstr(X1))&complemented_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc8_waybel_1)).
% 282.18/198.89 fof(cc5_lattices, axiom, ![X1]:(latt_str(X1)=>((~(empty_carrier(X1))&boolean_lattstr(X1))=>(((((~(empty_carrier(X1))&distributive_lattstr(X1))&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1))&bounded_lattstr(X1))&complemented_lattstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc5_lattices)).
% 282.18/198.89 fof(cc4_lattices, axiom, ![X1]:(latt_str(X1)=>((~(empty_carrier(X1))&bounded_lattstr(X1))=>((~(empty_carrier(X1))&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc4_lattices)).
% 282.18/198.89 fof(cc1_lattices, axiom, ![X1]:(latt_str(X1)=>((~(empty_carrier(X1))&lattice(X1))=>((((((~(empty_carrier(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_lattices)).
% 282.18/198.89 fof(cc3_yellow_0, axiom, ![X1]:(rel_str(X1)=>((~(empty_carrier(X1))&complete_relstr(X1))=>(~(empty_carrier(X1))&bounded_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc3_yellow_0)).
% 282.18/198.89 fof(cc10_waybel_1, axiom, ![X1]:(rel_str(X1)=>((~(empty_carrier(X1))&boolean_relstr(X1))=>((((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&upper_bounded_relstr(X1))&distributive_relstr(X1))&heyting_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc10_waybel_1)).
% 282.18/198.89 fof(cc6_waybel_1, axiom, ![X1]:(rel_str(X1)=>((~(empty_carrier(X1))&heyting_relstr(X1))=>(~(empty_carrier(X1))&distributive_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc6_waybel_1)).
% 282.18/198.89 fof(cc7_waybel_1, axiom, ![X1]:(rel_str(X1)=>((~(empty_carrier(X1))&heyting_relstr(X1))=>(~(empty_carrier(X1))&upper_bounded_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc7_waybel_1)).
% 282.18/198.89 fof(cc5_waybel_1, axiom, ![X1]:(rel_str(X1)=>((~(empty_carrier(X1))&heyting_relstr(X1))=>(((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc5_waybel_1)).
% 282.18/198.89 fof(cc1_yellow_0, axiom, ![X1]:(rel_str(X1)=>((~(empty_carrier(X1))&complete_relstr(X1))=>((~(empty_carrier(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_yellow_0)).
% 282.18/198.89 fof(t5_wellord2, lemma, ![X1]:antisymmetric(inclusion_relation(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_wellord2)).
% 282.18/198.89 fof(t2_wellord2, lemma, ![X1]:reflexive(inclusion_relation(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_wellord2)).
% 282.18/198.89 fof(t3_wellord2, lemma, ![X1]:transitive(inclusion_relation(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_wellord2)).
% 282.18/198.89 fof(dt_k1_wellord2, axiom, ![X1]:relation(inclusion_relation(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k1_wellord2)).
% 282.18/198.89 fof(dt_k3_yellow_1, axiom, ![X1]:(strict_rel_str(boole_POSet(X1))&rel_str(boole_POSet(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k3_yellow_1)).
% 282.18/198.89 fof(t18_yellow_1, lemma, ![X1]:bottom_of_relstr(boole_POSet(X1))=empty_set, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t18_yellow_1)).
% 282.18/198.89 fof(irreflexivity_r2_xboole_0, axiom, ![X1, X2]:~(proper_subset(X1,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', irreflexivity_r2_xboole_0)).
% 282.18/198.89 fof(l1_zfmisc_1, lemma, ![X1]:singleton(X1)!=empty_set, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l1_zfmisc_1)).
% 282.18/198.89 fof(d11_grcat_1, axiom, ![X1]:(one_sorted_str(X1)=>identity_on_carrier(X1)=identity_as_relation_of(the_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d11_grcat_1)).
% 282.18/198.89 fof(cc2_lattice3, axiom, ![X1]:(rel_str(X1)=>(with_infima_relstr(X1)=>~(empty_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc2_lattice3)).
% 282.18/198.89 fof(cc1_lattice3, axiom, ![X1]:(rel_str(X1)=>(with_suprema_relstr(X1)=>~(empty_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_lattice3)).
% 282.18/198.89 fof(fc6_yellow_1, axiom, ![X1]:(~(empty(X1))=>((((~(empty_carrier(incl_POSet(X1)))&strict_rel_str(incl_POSet(X1)))&reflexive_relstr(incl_POSet(X1)))&transitive_relstr(incl_POSet(X1)))&antisymmetric_relstr(incl_POSet(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc6_yellow_1)).
% 282.18/198.89 fof(d2_yellow_1, axiom, ![X1]:boole_POSet(X1)=poset_of_lattice(boole_lattice(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_yellow_1)).
% 282.18/198.89 fof(dt_k2_subset_1, axiom, ![X1]:element(cast_to_subset(X1),powerset(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_subset_1)).
% 282.18/198.89 fof(cc2_yellow_3, axiom, ![X1]:(rel_str(X1)=>(~(v1_yellow_3(X1))=>~(empty_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc2_yellow_3)).
% 282.18/198.89 fof(fc1_subset_1, axiom, ![X1]:~(empty(powerset(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_subset_1)).
% 282.18/198.89 fof(fc1_finsub_1, axiom, ![X1]:(((~(empty(powerset(X1)))&cup_closed(powerset(X1)))&diff_closed(powerset(X1)))&preboolean(powerset(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_finsub_1)).
% 282.18/198.89 fof(fc3_lattice3, axiom, ![X1]:(((((((((((((((~(empty_carrier(boole_lattice(X1)))&strict_latt_str(boole_lattice(X1)))&join_commutative(boole_lattice(X1)))&join_associative(boole_lattice(X1)))&meet_commutative(boole_lattice(X1)))&meet_associative(boole_lattice(X1)))&meet_absorbing(boole_lattice(X1)))&join_absorbing(boole_lattice(X1)))&lattice(boole_lattice(X1)))&distributive_lattstr(boole_lattice(X1)))&modular_lattstr(boole_lattice(X1)))&lower_bounded_semilattstr(boole_lattice(X1)))&upper_bounded_semilattstr(boole_lattice(X1)))&bounded_lattstr(boole_lattice(X1)))&complemented_lattstr(boole_lattice(X1)))&boolean_lattstr(boole_lattice(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc3_lattice3)).
% 282.18/198.89 fof(fc2_lattice3, axiom, ![X1]:((((((((~(empty_carrier(boole_lattice(X1)))&strict_latt_str(boole_lattice(X1)))&join_commutative(boole_lattice(X1)))&join_associative(boole_lattice(X1)))&meet_commutative(boole_lattice(X1)))&meet_associative(boole_lattice(X1)))&meet_absorbing(boole_lattice(X1)))&join_absorbing(boole_lattice(X1)))&lattice(boole_lattice(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_lattice3)).
% 282.18/198.89 fof(fc1_lattice3, axiom, ![X1]:(~(empty_carrier(boole_lattice(X1)))&strict_latt_str(boole_lattice(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_lattice3)).
% 282.18/198.89 fof(fc1_knaster, axiom, ![X1]:((((((((((((((((~(empty_carrier(boole_lattice(X1)))&strict_latt_str(boole_lattice(X1)))&join_commutative(boole_lattice(X1)))&join_associative(boole_lattice(X1)))&meet_commutative(boole_lattice(X1)))&meet_associative(boole_lattice(X1)))&meet_absorbing(boole_lattice(X1)))&join_absorbing(boole_lattice(X1)))&lattice(boole_lattice(X1)))&distributive_lattstr(boole_lattice(X1)))&modular_lattstr(boole_lattice(X1)))&lower_bounded_semilattstr(boole_lattice(X1)))&upper_bounded_semilattstr(boole_lattice(X1)))&bounded_lattstr(boole_lattice(X1)))&complemented_lattstr(boole_lattice(X1)))&boolean_lattstr(boole_lattice(X1)))&complete_latt_str(boole_lattice(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_knaster)).
% 282.18/198.89 fof(rc1_waybel_7, axiom, ?[X1]:((((((((((((((((rel_str(X1)&~(empty_carrier(X1)))&~(trivial_carrier(X1)))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&~(v1_yellow_3(X1)))&distributive_relstr(X1))&heyting_relstr(X1))&complemented_relstr(X1))&boolean_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_waybel_7)).
% 282.18/198.89 fof(rc1_yellow_3, axiom, ?[X1]:((((((rel_str(X1)&~(empty_carrier(X1)))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&~(v1_yellow_3(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_yellow_3)).
% 282.18/198.89 fof(rc3_ordinal1, axiom, ?[X1]:(((~(empty(X1))&epsilon_transitive(X1))&epsilon_connected(X1))&ordinal(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc3_ordinal1)).
% 282.18/198.89 fof(rc2_xboole_0, axiom, ?[X1]:~(empty(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_xboole_0)).
% 282.18/198.89 fof(rc2_relat_1, axiom, ?[X1]:(~(empty(X1))&relation(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_relat_1)).
% 282.18/198.89 fof(rc1_membered, axiom, ?[X1]:(((((~(empty(X1))&v1_membered(X1))&v2_membered(X1))&v3_membered(X1))&v4_membered(X1))&v5_membered(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_membered)).
% 282.18/198.89 fof(rc1_finset_1, axiom, ?[X1]:(~(empty(X1))&finite(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_finset_1)).
% 282.18/198.89 fof(rc1_arytm_3, axiom, ?[X1]:((((~(empty(X1))&epsilon_transitive(X1))&epsilon_connected(X1))&ordinal(X1))&natural(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_arytm_3)).
% 282.18/198.89 fof(rc9_lattices, axiom, ?[X1]:(((((((((latt_str(X1)&~(empty_carrier(X1)))&strict_latt_str(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))&lattice(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc9_lattices)).
% 282.18/198.89 fof(rc6_lattices, axiom, ?[X1]:((latt_str(X1)&~(empty_carrier(X1)))&strict_latt_str(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc6_lattices)).
% 282.18/198.89 fof(rc5_waybel_1, axiom, ?[X1]:((((((((((rel_str(X1)&~(empty_carrier(X1)))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&upper_bounded_relstr(X1))&distributive_relstr(X1))&heyting_relstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc5_waybel_1)).
% 282.18/198.89 fof(rc4_yellow_6, axiom, ?[X1]:((((rel_str(X1)&~(empty_carrier(X1)))&strict_rel_str(X1))&transitive_relstr(X1))&directed_relstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc4_yellow_6)).
% 282.18/198.89 fof(rc4_waybel_1, axiom, ?[X1]:((((((((((((((rel_str(X1)&~(empty_carrier(X1)))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&distributive_relstr(X1))&heyting_relstr(X1))&complemented_relstr(X1))&boolean_relstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc4_waybel_1)).
% 282.18/198.89 fof(rc3_struct_0, axiom, ?[X1]:(one_sorted_str(X1)&~(empty_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc3_struct_0)).
% 282.18/198.89 fof(rc2_yellow_0, axiom, ?[X1]:((((((((((rel_str(X1)&~(empty_carrier(X1)))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_yellow_0)).
% 282.18/198.89 fof(rc2_waybel_3, axiom, ?[X1]:(((((((((((((((rel_str(X1)&~(empty_carrier(X1)))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1))&v2_waybel_3(X1))&v3_waybel_3(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_waybel_3)).
% 282.18/198.89 fof(rc2_orders_2, axiom, ?[X1]:(((((rel_str(X1)&~(empty_carrier(X1)))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_orders_2)).
% 282.18/198.89 fof(rc2_lattice3, axiom, ?[X1]:((((((((rel_str(X1)&~(empty_carrier(X1)))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_lattice3)).
% 282.18/198.89 fof(rc1_yellow_0, axiom, ?[X1]:(((((((((rel_str(X1)&~(empty_carrier(X1)))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&trivial_carrier(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_yellow_0)).
% 282.18/198.89 fof(rc1_waybel_6, axiom, ?[X1]:((((((((((((((((rel_str(X1)&~(empty_carrier(X1)))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&distributive_relstr(X1))&v2_waybel_3(X1))&v3_waybel_3(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_waybel_6)).
% 282.18/198.89 fof(rc1_waybel_3, axiom, ?[X1]:(((((((((((((rel_str(X1)&~(empty_carrier(X1)))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&connected_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_waybel_3)).
% 282.18/198.89 fof(rc1_lattice3, axiom, ?[X1]:((((((rel_str(X1)&~(empty_carrier(X1)))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&complete_relstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_lattice3)).
% 282.18/198.89 fof(rc13_waybel_0, axiom, ?[X1]:(((((((((((((rel_str(X1)&~(empty_carrier(X1)))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc13_waybel_0)).
% 282.18/198.89 fof(rc13_lattices, axiom, ?[X1]:(((((((((((((((latt_str(X1)&~(empty_carrier(X1)))&strict_latt_str(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))&lattice(X1))&distributive_lattstr(X1))&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1))&bounded_lattstr(X1))&complemented_lattstr(X1))&boolean_lattstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc13_lattices)).
% 282.18/198.89 fof(rc12_waybel_0, axiom, ?[X1]:(((((rel_str(X1)&~(empty_carrier(X1)))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&connected_relstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc12_waybel_0)).
% 282.18/198.89 fof(rc12_lattices, axiom, ?[X1]:(((((((((((((latt_str(X1)&~(empty_carrier(X1)))&strict_latt_str(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))&lattice(X1))&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1))&bounded_lattstr(X1))&complemented_lattstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc12_lattices)).
% 282.18/198.89 fof(rc11_lattices, axiom, ?[X1]:((((((((((((latt_str(X1)&~(empty_carrier(X1)))&strict_latt_str(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))&lattice(X1))&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1))&bounded_lattstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc11_lattices)).
% 282.18/198.89 fof(rc10_lattices, axiom, ?[X1]:(((((((((((((latt_str(X1)&~(empty_carrier(X1)))&strict_latt_str(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))&lattice(X1))&distributive_lattstr(X1))&modular_lattstr(X1))&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc10_lattices)).
% 282.18/198.89 fof(d1_enumset1, axiom, ![X1, X2, X3, X4]:(X4=unordered_triple(X1,X2,X3)<=>![X5]:(in(X5,X4)<=>~(((X5!=X1&X5!=X2)&X5!=X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_enumset1)).
% 282.18/198.89 fof(free_g1_waybel_0, axiom, ![X1, X2, X3, X4]:(((((one_sorted_str(X1)&relation_of2(X3,X2,X2))&function(X4))&quasi_total(X4,X2,the_carrier(X1)))&relation_of2(X4,X2,the_carrier(X1)))=>![X5, X6, X7, X8]:(net_str_of(X1,X2,X3,X4)=net_str_of(X5,X6,X7,X8)=>(((X1=X5&X2=X6)&X3=X7)&X4=X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', free_g1_waybel_0)).
% 282.18/198.89 fof(s1_tarski__e6_27__finset_1__1, axiom, ![X1, X2, X3]:(((element(X2,powerset(powerset(X1)))&relation(X3))&function(X3))=>(![X4, X5, X6]:((((X4=X5&in(relation_image(X3,X5),X2))&X4=X6)&in(relation_image(X3,X6),X2))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,powerset(relation_dom(X3)))&X6=X5)&in(relation_image(X3,X5),X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e6_27__finset_1__1)).
% 282.18/198.89 fof(d13_funct_1, axiom, ![X1]:((relation(X1)&function(X1))=>![X2, X3]:(X3=relation_inverse_image(X1,X2)<=>![X4]:(in(X4,X3)<=>(in(X4,relation_dom(X1))&in(apply(X1,X4),X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d13_funct_1)).
% 282.18/198.89 fof(dt_g1_waybel_0, axiom, ![X1, X2, X3, X4]:(((((one_sorted_str(X1)&relation_of2(X3,X2,X2))&function(X4))&quasi_total(X4,X2,the_carrier(X1)))&relation_of2(X4,X2,the_carrier(X1)))=>(strict_net_str(net_str_of(X1,X2,X3,X4),X1)&net_str(net_str_of(X1,X2,X3,X4),X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_g1_waybel_0)).
% 282.18/198.89 fof(dt_k5_pre_topc, axiom, ![X1, X2, X3, X4]:(((((one_sorted_str(X1)&one_sorted_str(X2))&function(X3))&quasi_total(X3,the_carrier(X1),the_carrier(X2)))&relation_of2(X3,the_carrier(X1),the_carrier(X2)))=>element(function_invverse_img_as_carrier_subset(X1,X2,X3,X4),powerset(the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_pre_topc)).
% 282.18/198.89 fof(d1_waybel_0, axiom, ![X1]:(rel_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>(directed_subset(X2,X1)<=>![X3]:(element(X3,the_carrier(X1))=>![X4]:(element(X4,the_carrier(X1))=>~(((in(X3,X2)&in(X4,X2))&![X5]:(element(X5,the_carrier(X1))=>~(((in(X5,X2)&related(X1,X3,X5))&related(X1,X4,X5))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_waybel_0)).
% 282.18/198.89 fof(d1_lattice3, axiom, ![X1, X2]:((strict_latt_str(X2)&latt_str(X2))=>(X2=boole_lattice(X1)<=>(the_carrier(X2)=powerset(X1)&![X3]:(element(X3,powerset(X1))=>![X4]:(element(X4,powerset(X1))=>(apply_binary(the_L_join(X2),X3,X4)=subset_union2(X1,X3,X4)&apply_binary(the_L_meet(X2),X3,X4)=subset_intersection2(X1,X3,X4))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_lattice3)).
% 282.18/198.89 fof(d8_setfam_1, axiom, ![X1, X2]:(element(X2,powerset(powerset(X1)))=>![X3]:(element(X3,powerset(powerset(X1)))=>(X3=complements_of_subsets(X1,X2)<=>![X4]:(element(X4,powerset(X1))=>(in(X4,X3)<=>in(subset_complement(X1,X4),X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_setfam_1)).
% 282.18/198.89 fof(d13_pre_topc, axiom, ![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>![X3]:(element(X3,powerset(the_carrier(X1)))=>(X3=topstr_closure(X1,X2)<=>![X4]:(in(X4,the_carrier(X1))=>(in(X4,X3)<=>![X5]:(element(X5,powerset(the_carrier(X1)))=>~(((open_subset(X5,X1)&in(X4,X5))&disjoint(X2,X5)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d13_pre_topc)).
% 282.18/198.89 fof(free_g3_lattices, axiom, ![X1, X2, X3]:((((((function(X2)&quasi_total(X2,cartesian_product2(X1,X1),X1))&relation_of2(X2,cartesian_product2(X1,X1),X1))&function(X3))&quasi_total(X3,cartesian_product2(X1,X1),X1))&relation_of2(X3,cartesian_product2(X1,X1),X1))=>![X4, X5, X6]:(latt_str_of(X1,X2,X3)=latt_str_of(X4,X5,X6)=>((X1=X4&X2=X5)&X3=X6))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', free_g3_lattices)).
% 282.18/198.89 fof(d13_yellow_6, axiom, ![X1]:(one_sorted_str(X1)=>![X2]:(net_str(X2,X1)=>![X3, X4]:((strict_net_str(X4,X1)&subnetstr(X4,X1,X2))=>(X4=preimage_subnetstr(X1,X2,X3)<=>((full_subrelstr(X4,X2)&subrelstr(X4,X2))&the_carrier(X4)=function_invverse_img_as_carrier_subset(X2,X1,the_mapping(X1,X2),X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d13_yellow_6)).
% 282.18/198.89 fof(d7_yellow_0, axiom, ![X1]:(rel_str(X1)=>![X2]:(ex_sup_of_relstr_set(X1,X2)<=>?[X3]:(((element(X3,the_carrier(X1))&relstr_set_smaller(X1,X2,X3))&![X4]:(element(X4,the_carrier(X1))=>(relstr_set_smaller(X1,X2,X4)=>related(X1,X3,X4))))&![X4]:(element(X4,the_carrier(X1))=>((relstr_set_smaller(X1,X2,X4)&![X5]:(element(X5,the_carrier(X1))=>(relstr_set_smaller(X1,X2,X5)=>related(X1,X4,X5))))=>X4=X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d7_yellow_0)).
% 282.18/198.89 fof(d8_yellow_0, axiom, ![X1]:(rel_str(X1)=>![X2]:(ex_inf_of_relstr_set(X1,X2)<=>?[X3]:(((element(X3,the_carrier(X1))&relstr_element_smaller(X1,X2,X3))&![X4]:(element(X4,the_carrier(X1))=>(relstr_element_smaller(X1,X2,X4)=>related(X1,X4,X3))))&![X4]:(element(X4,the_carrier(X1))=>((relstr_element_smaller(X1,X2,X4)&![X5]:(element(X5,the_carrier(X1))=>(relstr_element_smaller(X1,X2,X5)=>related(X1,X5,X4))))=>X4=X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_yellow_0)).
% 282.18/198.89 fof(dt_k2_partfun1, axiom, ![X1, X2, X3, X4]:((function(X3)&relation_of2(X3,X1,X2))=>(function(partfun_dom_restriction(X1,X2,X3,X4))&relation_of2_as_subset(partfun_dom_restriction(X1,X2,X3,X4),X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_partfun1)).
% 282.18/198.89 fof(dt_g3_lattices, axiom, ![X1, X2, X3]:((((((function(X2)&quasi_total(X2,cartesian_product2(X1,X1),X1))&relation_of2(X2,cartesian_product2(X1,X1),X1))&function(X3))&quasi_total(X3,cartesian_product2(X1,X1),X1))&relation_of2(X3,cartesian_product2(X1,X1),X1))=>(strict_latt_str(latt_str_of(X1,X2,X3))&latt_str(latt_str_of(X1,X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_g3_lattices)).
% 282.18/198.89 fof(dt_k8_relset_1, axiom, ![X1, X2, X3, X4]:(relation_of2(X3,X1,X2)=>relation_of2_as_subset(relation_dom_restr_as_relation_of(X1,X2,X3,X4),X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k8_relset_1)).
% 282.18/198.89 fof(d8_yellow_6, axiom, ![X1]:(one_sorted_str(X1)=>![X2]:(net_str(X2,X1)=>![X3]:(net_str(X3,X1)=>(subnetstr(X3,X1,X2)<=>(subrelstr(X3,X2)&the_mapping(X1,X3)=relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_yellow_6)).
% 282.18/198.89 fof(s2_funct_1__e4_7_1__tops_2, lemma, ![X1, X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>((![X3, X4, X5]:(((in(X3,complements_of_subsets(the_carrier(X1),X2))&![X6]:(element(X6,powerset(the_carrier(X1)))=>(X6=X3=>X4=subset_complement(the_carrier(X1),X6))))&![X7]:(element(X7,powerset(the_carrier(X1)))=>(X7=X3=>X5=subset_complement(the_carrier(X1),X7))))=>X4=X5)&![X3]:~((in(X3,complements_of_subsets(the_carrier(X1),X2))&![X4]:~(![X8]:(element(X8,powerset(the_carrier(X1)))=>(X8=X3=>X4=subset_complement(the_carrier(X1),X8)))))))=>?[X3]:(((relation(X3)&function(X3))&relation_dom(X3)=complements_of_subsets(the_carrier(X1),X2))&![X4]:(in(X4,complements_of_subsets(the_carrier(X1),X2))=>![X9]:(element(X9,powerset(the_carrier(X1)))=>(X9=X4=>apply(X3,X4)=subset_complement(the_carrier(X1),X9))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s2_funct_1__e4_7_1__tops_2)).
% 282.18/198.89 fof(d12_funct_1, axiom, ![X1]:((relation(X1)&function(X1))=>![X2, X3]:(X3=relation_image(X1,X2)<=>![X4]:(in(X4,X3)<=>?[X5]:((in(X5,relation_dom(X1))&in(X5,X2))&X4=apply(X1,X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d12_funct_1)).
% 282.18/198.89 fof(s2_funct_1__e4_7_2__tops_2, lemma, ![X1, X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>((![X3, X4, X5]:(((in(X3,X2)&![X6]:(element(X6,powerset(the_carrier(X1)))=>(X6=X3=>X4=subset_complement(the_carrier(X1),X6))))&![X7]:(element(X7,powerset(the_carrier(X1)))=>(X7=X3=>X5=subset_complement(the_carrier(X1),X7))))=>X4=X5)&![X3]:~((in(X3,X2)&![X4]:~(![X8]:(element(X8,powerset(the_carrier(X1)))=>(X8=X3=>X4=subset_complement(the_carrier(X1),X8)))))))=>?[X3]:(((relation(X3)&function(X3))&relation_dom(X3)=X2)&![X4]:(in(X4,X2)=>![X9]:(element(X9,powerset(the_carrier(X1)))=>(X9=X4=>apply(X3,X4)=subset_complement(the_carrier(X1),X9))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s2_funct_1__e4_7_2__tops_2)).
% 282.18/198.89 fof(redefinition_k5_pre_topc, axiom, ![X1, X2, X3, X4]:(((((one_sorted_str(X1)&one_sorted_str(X2))&function(X3))&quasi_total(X3,the_carrier(X1),the_carrier(X2)))&relation_of2(X3,the_carrier(X1),the_carrier(X2)))=>function_invverse_img_as_carrier_subset(X1,X2,X3,X4)=relation_inverse_image(X3,X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k5_pre_topc)).
% 282.18/198.89 fof(d1_pre_topc, axiom, ![X1]:(top_str(X1)=>(topological_space(X1)<=>((in(the_carrier(X1),the_topology(X1))&![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>(subset(X2,the_topology(X1))=>in(union_of_subsets(the_carrier(X1),X2),the_topology(X1)))))&![X2]:(element(X2,powerset(the_carrier(X1)))=>![X3]:(element(X3,powerset(the_carrier(X1)))=>((in(X2,the_topology(X1))&in(X3,the_topology(X1)))=>in(subset_intersection2(the_carrier(X1),X2,X3),the_topology(X1)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_pre_topc)).
% 282.18/198.89 fof(d10_yellow_0, axiom, ![X1]:(rel_str(X1)=>![X2, X3]:(element(X3,the_carrier(X1))=>(ex_inf_of_relstr_set(X1,X2)=>(X3=meet_on_relstr(X1,X2)<=>(relstr_element_smaller(X1,X2,X3)&![X4]:(element(X4,the_carrier(X1))=>(relstr_element_smaller(X1,X2,X4)=>related(X1,X4,X3)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d10_yellow_0)).
% 282.18/198.89 fof(d9_yellow_0, axiom, ![X1]:(rel_str(X1)=>![X2, X3]:(element(X3,the_carrier(X1))=>(ex_sup_of_relstr_set(X1,X2)=>(X3=join_on_relstr(X1,X2)<=>(relstr_set_smaller(X1,X2,X3)&![X4]:(element(X4,the_carrier(X1))=>(relstr_set_smaller(X1,X2,X4)=>related(X1,X3,X4)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d9_yellow_0)).
% 282.18/198.89 fof(s1_tarski__e2_37_1_1__pre_topc__1, axiom, ![X1, X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))=>(![X3, X4, X5]:((((X3=X4&in(set_difference(cast_as_carrier_subset(X1),X4),X2))&X3=X5)&in(set_difference(cast_as_carrier_subset(X1),X5),X2))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:((in(X5,powerset(the_carrier(X1)))&X5=X4)&in(set_difference(cast_as_carrier_subset(X1),X4),X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e2_37_1_1__pre_topc__1)).
% 282.18/198.89 fof(t30_yellow_0, lemma, ![X1]:((antisymmetric_relstr(X1)&rel_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(((X2=join_on_relstr(X1,X3)&ex_sup_of_relstr_set(X1,X3))=>(relstr_set_smaller(X1,X3,X2)&![X4]:(element(X4,the_carrier(X1))=>(relstr_set_smaller(X1,X3,X4)=>related(X1,X2,X4)))))&((relstr_set_smaller(X1,X3,X2)&![X4]:(element(X4,the_carrier(X1))=>(relstr_set_smaller(X1,X3,X4)=>related(X1,X2,X4))))=>(X2=join_on_relstr(X1,X3)&ex_sup_of_relstr_set(X1,X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t30_yellow_0)).
% 282.18/198.89 fof(t16_yellow_0, lemma, ![X1]:((antisymmetric_relstr(X1)&rel_str(X1))=>![X2]:(ex_inf_of_relstr_set(X1,X2)<=>?[X3]:((element(X3,the_carrier(X1))&relstr_element_smaller(X1,X2,X3))&![X4]:(element(X4,the_carrier(X1))=>(relstr_element_smaller(X1,X2,X4)=>related(X1,X4,X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t16_yellow_0)).
% 282.18/198.89 fof(t15_yellow_0, lemma, ![X1]:((antisymmetric_relstr(X1)&rel_str(X1))=>![X2]:(ex_sup_of_relstr_set(X1,X2)<=>?[X3]:((element(X3,the_carrier(X1))&relstr_set_smaller(X1,X2,X3))&![X4]:(element(X4,the_carrier(X1))=>(relstr_set_smaller(X1,X2,X4)=>related(X1,X3,X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t15_yellow_0)).
% 282.18/198.89 fof(d2_xboole_0, axiom, ![X1, X2, X3]:(X3=set_union2(X1,X2)<=>![X4]:(in(X4,X3)<=>(in(X4,X1)|in(X4,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 282.18/198.89 fof(t61_yellow_0, lemma, ![X1]:(rel_str(X1)=>![X2]:((full_subrelstr(X2,X1)&subrelstr(X2,X1))=>![X3]:(element(X3,the_carrier(X1))=>![X4]:(element(X4,the_carrier(X1))=>![X5]:(element(X5,the_carrier(X2))=>![X6]:(element(X6,the_carrier(X2))=>(((((X5=X3&X6=X4)&related(X1,X3,X4))&in(X5,the_carrier(X2)))&in(X6,the_carrier(X2)))=>related(X2,X5,X6)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t61_yellow_0)).
% 282.18/198.89 fof(t20_yellow_6, lemma, ![X1]:(one_sorted_str(X1)=>![X2]:(net_str(X2,X1)=>![X3]:(subnetstr(X3,X1,X2)=>![X4]:(element(X4,the_carrier(X2))=>![X5]:(element(X5,the_carrier(X2))=>![X6]:(element(X6,the_carrier(X3))=>![X7]:(element(X7,the_carrier(X3))=>(((X4=X6&X5=X7)&related(X3,X6,X7))=>related(X2,X4,X5))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t20_yellow_6)).
% 282.18/198.89 fof(s2_ordinal1__e18_27__finset_1__1, lemma, (![X1]:(ordinal(X1)=>(![X2]:(ordinal(X2)=>(in(X2,X1)=>(in(X2,omega)=>![X3]:(element(X3,powerset(powerset(X2)))=>~((X3!=empty_set&![X4]:~((in(X4,X3)&![X5]:((in(X5,X3)&subset(X4,X5))=>X5=X4)))))))))=>(in(X1,omega)=>![X6]:(element(X6,powerset(powerset(X1)))=>~((X6!=empty_set&![X7]:~((in(X7,X6)&![X8]:((in(X8,X6)&subset(X7,X8))=>X8=X7)))))))))=>![X1]:(ordinal(X1)=>(in(X1,omega)=>![X9]:(element(X9,powerset(powerset(X1)))=>~((X9!=empty_set&![X10]:~((in(X10,X9)&![X11]:((in(X11,X9)&subset(X10,X11))=>X11=X10))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s2_ordinal1__e18_27__finset_1__1)).
% 282.18/198.89 fof(t54_funct_1, lemma, ![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)=>![X2]:((relation(X2)&function(X2))=>(X2=function_inverse(X1)<=>(relation_dom(X2)=relation_rng(X1)&![X3, X4]:(((in(X3,relation_rng(X1))&X4=apply(X2,X3))=>(in(X4,relation_dom(X1))&X3=apply(X1,X4)))&((in(X4,relation_dom(X1))&X3=apply(X1,X4))=>(in(X3,relation_rng(X1))&X4=apply(X2,X3))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t54_funct_1)).
% 282.18/198.89 fof(redefinition_k2_partfun1, axiom, ![X1, X2, X3, X4]:((function(X3)&relation_of2(X3,X1,X2))=>partfun_dom_restriction(X1,X2,X3,X4)=relation_dom_restriction(X3,X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k2_partfun1)).
% 282.18/198.89 fof(d9_lattice3, axiom, ![X1]:(rel_str(X1)=>![X2, X3]:(element(X3,the_carrier(X1))=>(relstr_set_smaller(X1,X2,X3)<=>![X4]:(element(X4,the_carrier(X1))=>(in(X4,X2)=>related(X1,X4,X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d9_lattice3)).
% 282.18/198.89 fof(d8_lattice3, axiom, ![X1]:(rel_str(X1)=>![X2, X3]:(element(X3,the_carrier(X1))=>(relstr_element_smaller(X1,X2,X3)<=>![X4]:(element(X4,the_carrier(X1))=>(in(X4,X2)=>related(X1,X3,X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_lattice3)).
% 282.18/198.89 fof(redefinition_k8_relset_1, axiom, ![X1, X2, X3, X4]:(relation_of2(X3,X1,X2)=>relation_dom_restr_as_relation_of(X1,X2,X3,X4)=relation_dom_restriction(X3,X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k8_relset_1)).
% 282.18/198.89 fof(abstractness_v6_waybel_0, axiom, ![X1, X2]:((one_sorted_str(X1)&net_str(X2,X1))=>(strict_net_str(X2,X1)=>X2=net_str_of(X1,the_carrier(X2),the_InternalRel(X2),the_mapping(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', abstractness_v6_waybel_0)).
% 282.18/198.89 fof(t26_orders_2, lemma, ![X1]:((transitive_relstr(X1)&rel_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>![X4]:(element(X4,the_carrier(X1))=>((related(X1,X2,X3)&related(X1,X3,X4))=>related(X1,X2,X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t26_orders_2)).
% 282.18/198.89 fof(d2_yellow_0, axiom, ![X1]:(rel_str(X1)=>(transitive_relstr(X1)<=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>![X4]:(element(X4,the_carrier(X1))=>((related(X1,X2,X3)&related(X1,X3,X4))=>related(X1,X2,X4))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_yellow_0)).
% 282.18/198.89 fof(cc4_funct_2, axiom, ![X1, X2]:(relation_of2(X2,X1,X1)=>((((function(X2)&v1_partfun1(X2,X1,X1))&reflexive(X2))&quasi_total(X2,X1,X1))=>((((function(X2)&one_to_one(X2))&quasi_total(X2,X1,X1))&onto(X2,X1,X1))&bijective(X2,X1,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc4_funct_2)).
% 282.18/198.89 fof(cc3_funct_2, axiom, ![X1, X2, X3]:(relation_of2(X3,X1,X2)=>((((function(X3)&one_to_one(X3))&quasi_total(X3,X1,X2))&onto(X3,X1,X2))=>((function(X3)&quasi_total(X3,X1,X2))&bijective(X3,X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc3_funct_2)).
% 282.18/198.89 fof(s1_tarski__e1_40__pre_topc__1, axiom, ![X1, X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(the_carrier(X1))))=>(![X3, X4, X5]:((((X3=X4&?[X6]:(((element(X6,powerset(the_carrier(X1)))&X6=X4)&closed_subset(X6,X1))&subset(X2,X4)))&X3=X5)&?[X7]:(((element(X7,powerset(the_carrier(X1)))&X7=X5)&closed_subset(X7,X1))&subset(X2,X5)))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:((in(X5,powerset(the_carrier(X1)))&X5=X4)&?[X8]:(((element(X8,powerset(the_carrier(X1)))&X8=X4)&closed_subset(X8,X1))&subset(X2,X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e1_40__pre_topc__1)).
% 282.18/198.89 fof(t45_pre_topc, lemma, ![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>![X3]:(in(X3,the_carrier(X1))=>(in(X3,topstr_closure(X1,X2))<=>![X4]:(element(X4,powerset(the_carrier(X1)))=>((closed_subset(X4,X1)&subset(X2,X4))=>in(X3,X4))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t45_pre_topc)).
% 282.18/198.89 fof(cc2_funct_2, axiom, ![X1, X2, X3]:(relation_of2(X3,X1,X2)=>(((function(X3)&quasi_total(X3,X1,X2))&bijective(X3,X1,X2))=>(((function(X3)&one_to_one(X3))&quasi_total(X3,X1,X2))&onto(X3,X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc2_funct_2)).
% 282.18/198.89 fof(s3_subset_1__e1_40__pre_topc, lemma, ![X1, X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(the_carrier(X1))))=>?[X3]:(element(X3,powerset(powerset(the_carrier(X1))))&![X4]:(element(X4,powerset(the_carrier(X1)))=>(in(X4,X3)<=>?[X5]:(((element(X5,powerset(the_carrier(X1)))&X5=X4)&closed_subset(X5,X1))&subset(X2,X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s3_subset_1__e1_40__pre_topc)).
% 282.18/198.89 fof(d3_wellord1, axiom, ![X1]:(relation(X1)=>![X2]:(is_well_founded_in(X1,X2)<=>![X3]:~(((subset(X3,X2)&X3!=empty_set)&![X4]:~((in(X4,X3)&disjoint(fiber(X1,X4),X3))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_wellord1)).
% 282.18/198.89 fof(t46_funct_2, lemma, ![X1, X2, X3, X4]:(((function(X4)&quasi_total(X4,X1,X2))&relation_of2_as_subset(X4,X1,X2))=>(X2!=empty_set=>![X5]:(in(X5,relation_inverse_image(X4,X3))<=>(in(X5,X1)&in(apply(X4,X5),X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t46_funct_2)).
% 282.18/198.89 fof(t60_yellow_0, lemma, ![X1]:(rel_str(X1)=>![X2]:(subrelstr(X2,X1)=>![X3]:(element(X3,the_carrier(X1))=>![X4]:(element(X4,the_carrier(X1))=>![X5]:(element(X5,the_carrier(X2))=>![X6]:(element(X6,the_carrier(X2))=>(((X5=X3&X6=X4)&related(X2,X5,X6))=>related(X1,X3,X4)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t60_yellow_0)).
% 282.18/198.89 fof(s1_xboole_0__e6_27__finset_1, lemma, ![X1, X2, X3]:(((element(X2,powerset(powerset(X1)))&relation(X3))&function(X3))=>?[X4]:![X5]:(in(X5,X4)<=>(in(X5,powerset(relation_dom(X3)))&in(relation_image(X3,X5),X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e6_27__finset_1)).
% 282.18/198.89 fof(d6_pre_topc, axiom, ![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>(closed_subset(X2,X1)<=>open_subset(subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d6_pre_topc)).
% 282.18/198.89 fof(t21_funct_2, lemma, ![X1, X2, X3, X4]:(((function(X4)&quasi_total(X4,X1,X2))&relation_of2_as_subset(X4,X1,X2))=>![X5]:((relation(X5)&function(X5))=>(in(X3,X1)=>(X2=empty_set|apply(relation_composition(X4,X5),X3)=apply(X5,apply(X4,X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t21_funct_2)).
% 282.18/198.89 fof(d2_tarski, axiom, ![X1, X2, X3]:(X3=unordered_pair(X1,X2)<=>![X4]:(in(X4,X3)<=>(X4=X1|X4=X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 282.18/198.89 fof(s1_xboole_0__e2_37_1_1__pre_topc__1, lemma, ![X1, X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))=>?[X3]:![X4]:(in(X4,X3)<=>(in(X4,powerset(the_carrier(X1)))&in(set_difference(cast_as_carrier_subset(X1),X4),X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 282.18/198.89 fof(s3_subset_1__e2_37_1_1__pre_topc, lemma, ![X1, X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))=>?[X3]:(element(X3,powerset(powerset(the_carrier(X1))))&![X4]:(element(X4,powerset(the_carrier(X1)))=>(in(X4,X3)<=>in(set_difference(cast_as_carrier_subset(X1),X4),X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s3_subset_1__e2_37_1_1__pre_topc)).
% 282.18/198.89 fof(d20_waybel_0, axiom, ![X1]:(rel_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>(upper_relstr_subset(X2,X1)<=>![X3]:(element(X3,the_carrier(X1))=>![X4]:(element(X4,the_carrier(X1))=>((in(X3,X2)&related(X1,X3,X4))=>in(X4,X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d20_waybel_0)).
% 282.18/198.89 fof(s1_xboole_0__e1_40__pre_topc__1, lemma, ![X1, X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(the_carrier(X1))))=>?[X3]:![X4]:(in(X4,X3)<=>(in(X4,powerset(the_carrier(X1)))&?[X5]:(((element(X5,powerset(the_carrier(X1)))&X5=X4)&closed_subset(X5,X1))&subset(X2,X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e1_40__pre_topc__1)).
% 282.18/198.89 fof(t9_funct_2, lemma, ![X1, X2, X3, X4]:(((function(X4)&quasi_total(X4,X1,X2))&relation_of2_as_subset(X4,X1,X2))=>(subset(X2,X3)=>((X2=empty_set&X1!=empty_set)|((function(X4)&quasi_total(X4,X1,X3))&relation_of2_as_subset(X4,X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t9_funct_2)).
% 282.18/198.89 fof(t22_pre_topc, lemma, ![X1]:(one_sorted_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2))=X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t22_pre_topc)).
% 282.18/198.89 fof(t25_orders_2, lemma, ![X1]:((antisymmetric_relstr(X1)&rel_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>((related(X1,X2,X3)&related(X1,X3,X2))=>X2=X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t25_orders_2)).
% 282.18/198.89 fof(t6_funct_2, lemma, ![X1, X2, X3, X4]:(((function(X4)&quasi_total(X4,X1,X2))&relation_of2_as_subset(X4,X1,X2))=>(in(X3,X1)=>(X2=empty_set|in(apply(X4,X3),relation_rng(X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t6_funct_2)).
% 282.18/198.89 fof(cc1_funct_2, axiom, ![X1, X2, X3]:(relation_of2(X3,X1,X2)=>((function(X3)&v1_partfun1(X3,X1,X2))=>(function(X3)&quasi_total(X3,X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_funct_2)).
% 282.18/198.89 fof(d3_compts_1, axiom, ![X1]:(top_str(X1)=>(compact_top_space(X1)<=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>~(((is_a_cover_of_carrier(X1,X2)&open_subsets(X2,X1))&![X3]:(element(X3,powerset(powerset(the_carrier(X1))))=>~(((subset(X3,X2)&is_a_cover_of_carrier(X1,X3))&finite(X3))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_compts_1)).
% 282.18/198.89 fof(d1_funct_2, axiom, ![X1, X2, X3]:(relation_of2_as_subset(X3,X1,X2)=>(((X2=empty_set=>X1=empty_set)=>(quasi_total(X3,X1,X2)<=>X1=relation_dom_as_subset(X1,X2,X3)))&(X2=empty_set=>(X1=empty_set|(quasi_total(X3,X1,X2)<=>X3=empty_set))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_funct_2)).
% 282.18/198.89 fof(fc3_orders_2, axiom, ![X1, X2]:(((((reflexive(X2)&antisymmetric(X2))&transitive(X2))&v1_partfun1(X2,X1,X1))&relation_of2(X2,X1,X1))=>(((strict_rel_str(rel_str_of(X1,X2))&reflexive_relstr(rel_str_of(X1,X2)))&transitive_relstr(rel_str_of(X1,X2)))&antisymmetric_relstr(rel_str_of(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc3_orders_2)).
% 282.18/198.89 fof(t22_funct_1, lemma, ![X1, X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(in(X1,relation_dom(relation_composition(X3,X2)))=>apply(relation_composition(X3,X2),X1)=apply(X2,apply(X3,X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t22_funct_1)).
% 282.18/198.89 fof(t44_pre_topc, lemma, ![X1]:((topological_space(X1)&top_str(X1))=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>(![X3]:(element(X3,powerset(the_carrier(X1)))=>(in(X3,X2)=>closed_subset(X3,X1)))=>closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t44_pre_topc)).
% 282.18/198.89 fof(d9_yellow_6, axiom, ![X1]:(one_sorted_str(X1)=>![X2]:(net_str(X2,X1)=>![X3]:(subnetstr(X3,X1,X2)=>(full_subnetstr(X3,X1,X2)<=>(full_subrelstr(X3,X2)&subrelstr(X3,X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d9_yellow_6)).
% 282.18/198.89 fof(d1_setfam_1, axiom, ![X1, X2]:((X1!=empty_set=>(X2=set_meet(X1)<=>![X3]:(in(X3,X2)<=>![X4]:(in(X4,X1)=>in(X3,X4)))))&(X1=empty_set=>(X2=set_meet(X1)<=>X2=empty_set))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_setfam_1)).
% 282.18/198.89 fof(dt_k5_relset_1, axiom, ![X1, X2, X3]:(relation_of2(X3,X1,X2)=>element(relation_rng_as_subset(X1,X2,X3),powerset(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_relset_1)).
% 282.18/198.89 fof(dt_k4_relset_1, axiom, ![X1, X2, X3]:(relation_of2(X3,X1,X2)=>element(relation_dom_as_subset(X1,X2,X3),powerset(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k4_relset_1)).
% 282.18/198.89 fof(t2_lattice3, lemma, ![X1, X2]:(element(X2,the_carrier(boole_lattice(X1)))=>![X3]:(element(X3,the_carrier(boole_lattice(X1)))=>(below(boole_lattice(X1),X2,X3)<=>subset(X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_lattice3)).
% 282.18/198.89 fof(d2_tops_2, axiom, ![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>(closed_subsets(X2,X1)<=>![X3]:(element(X3,powerset(the_carrier(X1)))=>(in(X3,X2)=>closed_subset(X3,X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tops_2)).
% 282.18/198.89 fof(d1_tops_2, axiom, ![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>(open_subsets(X2,X1)<=>![X3]:(element(X3,powerset(the_carrier(X1)))=>(in(X3,X2)=>open_subset(X3,X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tops_2)).
% 282.18/198.89 fof(t21_funct_1, lemma, ![X1, X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(in(X1,relation_dom(relation_composition(X3,X2)))<=>(in(X1,relation_dom(X3))&in(apply(X3,X1),relation_dom(X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t21_funct_1)).
% 282.18/198.89 fof(t46_pre_topc, lemma, ![X1]:((topological_space(X1)&top_str(X1))=>![X2]:(element(X2,powerset(the_carrier(X1)))=>?[X3]:((element(X3,powerset(powerset(the_carrier(X1))))&![X4]:(element(X4,powerset(the_carrier(X1)))=>(in(X4,X3)<=>(closed_subset(X4,X1)&subset(X2,X4)))))&topstr_closure(X1,X2)=meet_of_subsets(the_carrier(X1),X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t46_pre_topc)).
% 282.18/198.89 fof(fc17_yellow_6, axiom, ![X1, X2, X3]:(((one_sorted_str(X1)&transitive_relstr(X2))&net_str(X2,X1))=>((transitive_relstr(preimage_subnetstr(X1,X2,X3))&strict_net_str(preimage_subnetstr(X1,X2,X3),X1))&full_subnetstr(preimage_subnetstr(X1,X2,X3),X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc17_yellow_6)).
% 282.18/198.89 fof(d1_tops_1, axiom, ![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>interior(X1,X2)=subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tops_1)).
% 282.18/198.89 fof(t16_tops_2, lemma, ![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>(closed_subsets(X2,X1)<=>open_subsets(complements_of_subsets(the_carrier(X1),X2),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t16_tops_2)).
% 282.18/198.89 fof(t17_tops_2, lemma, ![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>(open_subsets(X2,X1)<=>closed_subsets(complements_of_subsets(the_carrier(X1),X2),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t17_tops_2)).
% 282.18/198.89 fof(dt_k6_subset_1, axiom, ![X1, X2, X3]:((element(X2,powerset(X1))&element(X3,powerset(X1)))=>element(subset_difference(X1,X2,X3),powerset(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k6_subset_1)).
% 282.18/198.89 fof(dt_k5_subset_1, axiom, ![X1, X2, X3]:((element(X2,powerset(X1))&element(X3,powerset(X1)))=>element(subset_intersection2(X1,X2,X3),powerset(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_subset_1)).
% 282.18/198.89 fof(dt_k4_subset_1, axiom, ![X1, X2, X3]:((element(X2,powerset(X1))&element(X3,powerset(X1)))=>element(subset_union2(X1,X2,X3),powerset(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k4_subset_1)).
% 282.18/198.89 fof(dt_k6_yellow_6, axiom, ![X1, X2, X3]:((one_sorted_str(X1)&net_str(X2,X1))=>(strict_net_str(preimage_subnetstr(X1,X2,X3),X1)&subnetstr(preimage_subnetstr(X1,X2,X3),X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k6_yellow_6)).
% 282.18/198.89 fof(t70_funct_1, lemma, ![X1, X2, X3]:((relation(X3)&function(X3))=>(in(X2,relation_dom(relation_dom_restriction(X3,X1)))=>apply(relation_dom_restriction(X3,X1),X2)=apply(X3,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t70_funct_1)).
% 282.18/198.89 fof(t49_wellord1, lemma, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>![X3]:((relation(X3)&function(X3))=>(relation_isomorphism(X1,X2,X3)=>relation_isomorphism(X2,X1,function_inverse(X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t49_wellord1)).
% 282.18/198.89 fof(commutativity_k5_subset_1, axiom, ![X1, X2, X3]:((element(X2,powerset(X1))&element(X3,powerset(X1)))=>subset_intersection2(X1,X2,X3)=subset_intersection2(X1,X3,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k5_subset_1)).
% 282.18/198.89 fof(commutativity_k4_subset_1, axiom, ![X1, X2, X3]:((element(X2,powerset(X1))&element(X3,powerset(X1)))=>subset_union2(X1,X2,X3)=subset_union2(X1,X3,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k4_subset_1)).
% 282.18/198.89 fof(t14_relset_1, lemma, ![X1, X2, X3, X4]:(relation_of2_as_subset(X4,X3,X1)=>(subset(relation_rng(X4),X2)=>relation_of2_as_subset(X4,X3,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t14_relset_1)).
% 282.18/198.89 fof(d5_funct_1, axiom, ![X1]:((relation(X1)&function(X1))=>![X2]:(X2=relation_rng(X1)<=>![X3]:(in(X3,X2)<=>?[X4]:(in(X4,relation_dom(X1))&X3=apply(X1,X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_funct_1)).
% 282.18/198.89 fof(t13_tops_2, lemma, ![X1]:(one_sorted_str(X1)=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>(finite(complements_of_subsets(the_carrier(X1),X2))<=>finite(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t13_tops_2)).
% 282.18/198.89 fof(t16_relset_1, lemma, ![X1, X2, X3, X4]:(relation_of2_as_subset(X4,X3,X1)=>(subset(X1,X2)=>relation_of2_as_subset(X4,X3,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t16_relset_1)).
% 282.18/198.89 fof(t55_tops_1, lemma, ![X1]:((topological_space(X1)&top_str(X1))=>![X2]:(top_str(X2)=>![X3]:(element(X3,powerset(the_carrier(X1)))=>![X4]:(element(X4,powerset(the_carrier(X2)))=>((open_subset(X4,X2)=>interior(X2,X4)=X4)&(interior(X1,X3)=X3=>open_subset(X3,X1))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t55_tops_1)).
% 282.18/198.89 fof(t18_finset_1, lemma, ![X1]:(finite(X1)=>![X2]:(element(X2,powerset(powerset(X1)))=>~((X2!=empty_set&![X3]:~((in(X3,X2)&![X4]:((in(X4,X2)&subset(X3,X4))=>X4=X3))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t18_finset_1)).
% 282.18/198.89 fof(dt_m2_relset_1, axiom, ![X1, X2, X3]:(relation_of2_as_subset(X3,X1,X2)=>element(X3,powerset(cartesian_product2(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_m2_relset_1)).
% 282.18/198.89 fof(t29_tops_1, lemma, ![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>(closed_subset(X2,X1)<=>open_subset(subset_complement(the_carrier(X1),X2),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t29_tops_1)).
% 282.18/198.89 fof(t30_tops_1, lemma, ![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>(open_subset(X2,X1)<=>closed_subset(subset_complement(the_carrier(X1),X2),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t30_tops_1)).
% 282.18/198.89 fof(d4_tarski, axiom, ![X1, X2]:(X2=union(X1)<=>![X3]:(in(X3,X2)<=>?[X4]:(in(X3,X4)&in(X4,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_tarski)).
% 282.18/198.89 fof(d8_pre_topc, axiom, ![X1]:(one_sorted_str(X1)=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>(is_a_cover_of_carrier(X1,X2)<=>cast_as_carrier_subset(X1)=union_of_subsets(the_carrier(X1),X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_pre_topc)).
% 282.18/198.89 fof(l82_funct_1, lemma, ![X1, X2, X3]:((relation(X3)&function(X3))=>(in(X2,relation_dom(relation_dom_restriction(X3,X1)))<=>(in(X2,relation_dom(X3))&in(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l82_funct_1)).
% 282.18/198.89 fof(t17_pre_topc, lemma, ![X1]:(one_sorted_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>subset_complement(the_carrier(X1),X2)=subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t17_pre_topc)).
% 282.18/198.89 fof(redefinition_k5_relset_1, axiom, ![X1, X2, X3]:(relation_of2(X3,X1,X2)=>relation_rng_as_subset(X1,X2,X3)=relation_rng(X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k5_relset_1)).
% 282.18/198.89 fof(redefinition_k4_relset_1, axiom, ![X1, X2, X3]:(relation_of2(X3,X1,X2)=>relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k4_relset_1)).
% 282.18/198.89 fof(t19_yellow_6, lemma, ![X1]:(one_sorted_str(X1)=>![X2]:(net_str(X2,X1)=>![X3]:(subnetstr(X3,X1,X2)=>subset(the_carrier(X3),the_carrier(X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t19_yellow_6)).
% 282.18/198.89 fof(t43_subset_1, lemma, ![X1, X2]:(element(X2,powerset(X1))=>![X3]:(element(X3,powerset(X1))=>(disjoint(X2,X3)<=>subset(X2,subset_complement(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t43_subset_1)).
% 282.18/198.89 fof(t115_relat_1, lemma, ![X1, X2, X3]:(relation(X3)=>(in(X1,relation_rng(relation_rng_restriction(X2,X3)))<=>(in(X1,X2)&in(X1,relation_rng(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t115_relat_1)).
% 282.18/198.89 fof(t19_wellord1, lemma, ![X1, X2, X3]:(relation(X3)=>(in(X1,relation_field(relation_restriction(X3,X2)))=>(in(X1,relation_field(X3))&in(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t19_wellord1)).
% 282.18/198.89 fof(t86_relat_1, lemma, ![X1, X2, X3]:(relation(X3)=>(in(X1,relation_dom(relation_dom_restriction(X3,X2)))<=>(in(X1,X2)&in(X1,relation_dom(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t86_relat_1)).
% 282.18/198.89 fof(fc4_tops_1, axiom, ![X1, X2]:((((topological_space(X1)&top_str(X1))&open_subset(X2,X1))&element(X2,powerset(the_carrier(X1))))=>closed_subset(subset_complement(the_carrier(X1),X2),X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc4_tops_1)).
% 282.18/198.89 fof(fc3_tops_1, axiom, ![X1, X2]:((((topological_space(X1)&top_str(X1))&closed_subset(X2,X1))&element(X2,powerset(the_carrier(X1))))=>open_subset(subset_complement(the_carrier(X1),X2),X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc3_tops_1)).
% 282.18/198.89 fof(t23_funct_1, lemma, ![X1, X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(in(X1,relation_dom(X2))=>apply(relation_composition(X2,X3),X1)=apply(X3,apply(X2,X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t23_funct_1)).
% 282.18/198.89 fof(redefinition_m2_relset_1, axiom, ![X1, X2, X3]:(relation_of2_as_subset(X3,X1,X2)<=>relation_of2(X3,X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_m2_relset_1)).
% 282.18/198.89 fof(d2_wellord1, axiom, ![X1]:(relation(X1)=>(well_founded_relation(X1)<=>![X2]:~(((subset(X2,relation_field(X1))&X2!=empty_set)&![X3]:~((in(X3,X2)&disjoint(fiber(X1,X3),X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_wellord1)).
% 282.18/198.89 fof(d4_yellow_0, axiom, ![X1]:(rel_str(X1)=>(lower_bounded_relstr(X1)<=>?[X2]:(element(X2,the_carrier(X1))&relstr_element_smaller(X1,the_carrier(X1),X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_yellow_0)).
% 282.18/198.89 fof(d5_wellord1, axiom, ![X1]:(relation(X1)=>![X2]:(well_orders(X1,X2)<=>((((is_reflexive_in(X1,X2)&is_transitive_in(X1,X2))&is_antisymmetric_in(X1,X2))&is_connected_in(X1,X2))&is_well_founded_in(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_wellord1)).
% 282.18/198.89 fof(t16_wellord1, lemma, ![X1, X2, X3]:(relation(X3)=>(in(X1,relation_restriction(X3,X2))<=>(in(X1,X3)&in(X1,cartesian_product2(X2,X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t16_wellord1)).
% 282.18/198.89 fof(redefinition_k6_subset_1, axiom, ![X1, X2, X3]:((element(X2,powerset(X1))&element(X3,powerset(X1)))=>subset_difference(X1,X2,X3)=set_difference(X2,X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k6_subset_1)).
% 282.18/198.89 fof(redefinition_k4_subset_1, axiom, ![X1, X2, X3]:((element(X2,powerset(X1))&element(X3,powerset(X1)))=>subset_union2(X1,X2,X3)=set_union2(X2,X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k4_subset_1)).
% 282.18/198.89 fof(t11_tops_2, lemma, ![X1, X2]:(element(X2,powerset(powerset(X1)))=>(X2!=empty_set=>meet_of_subsets(X1,complements_of_subsets(X1,X2))=subset_complement(X1,union_of_subsets(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t11_tops_2)).
% 282.18/198.89 fof(t12_tops_2, lemma, ![X1, X2]:(element(X2,powerset(powerset(X1)))=>(X2!=empty_set=>union_of_subsets(X1,complements_of_subsets(X1,X2))=subset_complement(X1,meet_of_subsets(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t12_tops_2)).
% 282.18/198.89 fof(d8_funct_1, axiom, ![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)<=>![X2, X3]:(((in(X2,relation_dom(X1))&in(X3,relation_dom(X1)))&apply(X1,X2)=apply(X1,X3))=>X2=X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_funct_1)).
% 282.18/198.89 fof(free_g1_orders_2, axiom, ![X1, X2]:(relation_of2(X2,X1,X1)=>![X3, X4]:(rel_str_of(X1,X2)=rel_str_of(X3,X4)=>(X1=X3&X2=X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', free_g1_orders_2)).
% 282.18/198.89 fof(d1_zfmisc_1, axiom, ![X1, X2]:(X2=powerset(X1)<=>![X3]:(in(X3,X2)<=>subset(X3,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_zfmisc_1)).
% 282.18/198.89 fof(t146_funct_1, lemma, ![X1, X2]:(relation(X2)=>(subset(X1,relation_dom(X2))=>subset(X1,relation_inverse_image(X2,relation_image(X2,X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t146_funct_1)).
% 282.18/198.89 fof(dt_m1_yellow_6, axiom, ![X1, X2]:((one_sorted_str(X1)&net_str(X2,X1))=>![X3]:(subnetstr(X3,X1,X2)=>net_str(X3,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_m1_yellow_6)).
% 282.18/198.89 fof(t2_tarski, axiom, ![X1, X2]:(![X3]:(in(X3,X1)<=>in(X3,X2))=>X1=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_tarski)).
% 282.18/198.89 fof(t54_wellord1, lemma, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>![X3]:((relation(X3)&function(X3))=>((well_ordering(X1)&relation_isomorphism(X1,X2,X3))=>well_ordering(X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t54_wellord1)).
% 282.18/198.89 fof(d1_relset_1, axiom, ![X1, X2, X3]:(relation_of2(X3,X1,X2)<=>subset(X3,cartesian_product2(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_relset_1)).
% 282.18/198.89 fof(t15_pre_topc, lemma, ![X1]:(one_sorted_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>subset_intersection2(the_carrier(X1),X2,cast_as_carrier_subset(X1))=X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t15_pre_topc)).
% 282.18/198.89 fof(t21_wellord1, lemma, ![X1, X2, X3]:(relation(X3)=>subset(fiber(relation_restriction(X3,X1),X2),fiber(X3,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t21_wellord1)).
% 282.18/198.89 fof(dt_u1_lattices, axiom, ![X1]:(meet_semilatt_str(X1)=>((function(the_L_meet(X1))&quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))&relation_of2_as_subset(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_u1_lattices)).
% 282.18/198.89 fof(dt_u2_lattices, axiom, ![X1]:(join_semilatt_str(X1)=>((function(the_L_join(X1))&quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))&relation_of2_as_subset(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_u2_lattices)).
% 282.18/198.89 fof(dt_u1_waybel_0, axiom, ![X1, X2]:((one_sorted_str(X1)&net_str(X2,X1))=>((function(the_mapping(X1,X2))&quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)))&relation_of2_as_subset(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_u1_waybel_0)).
% 282.18/198.89 fof(idempotence_k5_subset_1, axiom, ![X1, X2, X3]:((element(X2,powerset(X1))&element(X3,powerset(X1)))=>subset_intersection2(X1,X2,X2)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', idempotence_k5_subset_1)).
% 282.18/198.89 fof(idempotence_k4_subset_1, axiom, ![X1, X2, X3]:((element(X2,powerset(X1))&element(X3,powerset(X1)))=>subset_union2(X1,X2,X2)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', idempotence_k4_subset_1)).
% 282.18/198.89 fof(t54_subset_1, lemma, ![X1, X2, X3]:(element(X3,powerset(X1))=>~((in(X2,subset_complement(X1,X3))&in(X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t54_subset_1)).
% 282.18/198.89 fof(cc1_relset_1, axiom, ![X1, X2, X3]:(element(X3,powerset(cartesian_product2(X1,X2)))=>relation(X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_relset_1)).
% 282.18/198.89 fof(dt_k1_tops_1, axiom, ![X1, X2]:((top_str(X1)&element(X2,powerset(the_carrier(X1))))=>element(interior(X1,X2),powerset(the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k1_tops_1)).
% 282.18/198.89 fof(dt_k6_pre_topc, axiom, ![X1, X2]:((top_str(X1)&element(X2,powerset(the_carrier(X1))))=>element(topstr_closure(X1,X2),powerset(the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k6_pre_topc)).
% 282.18/198.89 fof(dt_g1_orders_2, axiom, ![X1, X2]:(relation_of2(X2,X1,X1)=>(strict_rel_str(rel_str_of(X1,X2))&rel_str(rel_str_of(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_g1_orders_2)).
% 282.18/198.89 fof(t34_funct_1, lemma, ![X1, X2]:((relation(X2)&function(X2))=>(X2=identity_relation(X1)<=>(relation_dom(X2)=X1&![X3]:(in(X3,X1)=>apply(X2,X3)=X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t34_funct_1)).
% 282.18/198.89 fof(d13_yellow_0, axiom, ![X1]:(rel_str(X1)=>![X2]:(rel_str(X2)=>(subrelstr(X2,X1)<=>(subset(the_carrier(X2),the_carrier(X1))&subset(the_InternalRel(X2),the_InternalRel(X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d13_yellow_0)).
% 282.18/198.89 fof(t119_zfmisc_1, lemma, ![X1, X2, X3, X4]:((subset(X1,X2)&subset(X3,X4))=>subset(cartesian_product2(X1,X3),cartesian_product2(X2,X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t119_zfmisc_1)).
% 282.18/198.89 fof(rc6_yellow_6, axiom, ![X1, X2]:((one_sorted_str(X1)&net_str(X2,X1))=>?[X3]:((subnetstr(X3,X1,X2)&strict_net_str(X3,X1))&full_subnetstr(X3,X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc6_yellow_6)).
% 282.18/198.89 fof(existence_m1_yellow_6, axiom, ![X1, X2]:((one_sorted_str(X1)&net_str(X2,X1))=>?[X3]:subnetstr(X3,X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_m1_yellow_6)).
% 282.18/198.89 fof(dt_k7_setfam_1, axiom, ![X1, X2]:(element(X2,powerset(powerset(X1)))=>element(complements_of_subsets(X1,X2),powerset(powerset(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k7_setfam_1)).
% 282.18/198.89 fof(t7_tarski, axiom, ![X1, X2]:~((in(X1,X2)&![X3]:~((in(X3,X2)&![X4]:~((in(X4,X2)&in(X4,X3))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_tarski)).
% 282.18/198.89 fof(t57_funct_1, lemma, ![X1, X2]:((relation(X2)&function(X2))=>((one_to_one(X2)&in(X1,relation_rng(X2)))=>(X1=apply(X2,apply(function_inverse(X2),X1))&X1=apply(relation_composition(function_inverse(X2),X2),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t57_funct_1)).
% 282.18/198.89 fof(t12_relset_1, lemma, ![X1, X2, X3]:(relation_of2_as_subset(X3,X1,X2)=>(subset(relation_dom(X3),X1)&subset(relation_rng(X3),X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t12_relset_1)).
% 282.18/198.89 fof(t145_funct_1, lemma, ![X1, X2]:((relation(X2)&function(X2))=>subset(relation_image(X2,relation_inverse_image(X2,X1)),X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t145_funct_1)).
% 282.18/198.89 fof(fc2_tops_1, axiom, ![X1, X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(the_carrier(X1))))=>closed_subset(topstr_closure(X1,X2),X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_tops_1)).
% 282.18/198.89 fof(t51_tops_1, lemma, ![X1]:((topological_space(X1)&top_str(X1))=>![X2]:(element(X2,powerset(the_carrier(X1)))=>open_subset(interior(X1,X2),X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t51_tops_1)).
% 282.18/198.89 fof(fc6_tops_1, axiom, ![X1, X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(the_carrier(X1))))=>open_subset(interior(X1,X2),X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc6_tops_1)).
% 282.18/198.89 fof(d5_pre_topc, axiom, ![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>(open_subset(X2,X1)<=>in(X2,the_topology(X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_pre_topc)).
% 282.18/198.89 fof(t52_pre_topc, lemma, ![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>((closed_subset(X2,X1)=>topstr_closure(X1,X2)=X2)&((topological_space(X1)&topstr_closure(X1,X2)=X2)=>closed_subset(X2,X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t52_pre_topc)).
% 282.18/198.89 fof(fc2_orders_2, axiom, ![X1]:((((reflexive_relstr(X1)&transitive_relstr(X1))&antisymmetric_relstr(X1))&rel_str(X1))=>((((relation(the_InternalRel(X1))&reflexive(the_InternalRel(X1)))&antisymmetric(the_InternalRel(X1)))&transitive(the_InternalRel(X1)))&v1_partfun1(the_InternalRel(X1),the_carrier(X1),the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_orders_2)).
% 282.18/198.89 fof(t32_ordinal1, lemma, ![X1, X2]:(ordinal(X2)=>~(((subset(X1,X2)&X1!=empty_set)&![X3]:(ordinal(X3)=>~((in(X3,X1)&![X4]:(ordinal(X4)=>(in(X4,X1)=>ordinal_subset(X3,X4))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t32_ordinal1)).
% 282.18/198.89 fof(t44_tops_1, lemma, ![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>subset(interior(X1,X2),X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t44_tops_1)).
% 282.18/198.89 fof(t48_pre_topc, lemma, ![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>subset(X2,topstr_closure(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t48_pre_topc)).
% 282.18/198.89 fof(dt_k6_setfam_1, axiom, ![X1, X2]:(element(X2,powerset(powerset(X1)))=>element(meet_of_subsets(X1,X2),powerset(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k6_setfam_1)).
% 282.18/198.89 fof(dt_k5_setfam_1, axiom, ![X1, X2]:(element(X2,powerset(powerset(X1)))=>element(union_of_subsets(X1,X2),powerset(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_setfam_1)).
% 282.18/198.89 fof(t178_relat_1, lemma, ![X1, X2, X3]:(relation(X3)=>(subset(X1,X2)=>subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t178_relat_1)).
% 282.18/198.89 fof(t45_relat_1, lemma, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t45_relat_1)).
% 282.18/198.89 fof(t44_relat_1, lemma, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t44_relat_1)).
% 282.18/198.89 fof(t6_yellow_0, lemma, ![X1]:(rel_str(X1)=>![X2]:(element(X2,the_carrier(X1))=>(relstr_set_smaller(X1,empty_set,X2)&relstr_element_smaller(X1,empty_set,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t6_yellow_0)).
% 282.18/198.89 fof(involutiveness_k7_setfam_1, axiom, ![X1, X2]:(element(X2,powerset(powerset(X1)))=>complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', involutiveness_k7_setfam_1)).
% 282.18/198.89 fof(d14_yellow_0, axiom, ![X1]:(rel_str(X1)=>![X2]:(subrelstr(X2,X1)=>(full_subrelstr(X2,X1)<=>the_InternalRel(X2)=relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d14_yellow_0)).
% 282.18/198.89 fof(t72_funct_1, lemma, ![X1, X2, X3]:((relation(X3)&function(X3))=>(in(X2,X1)=>apply(relation_dom_restriction(X3,X1),X2)=apply(X3,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t72_funct_1)).
% 282.18/198.89 fof(t47_relat_1, lemma, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>(subset(relation_dom(X1),relation_rng(X2))=>relation_rng(relation_composition(X2,X1))=relation_rng(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t47_relat_1)).
% 282.18/198.89 fof(t46_relat_1, lemma, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>(subset(relation_rng(X1),relation_dom(X2))=>relation_dom(relation_composition(X1,X2))=relation_dom(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t46_relat_1)).
% 282.18/198.89 fof(t33_xboole_1, lemma, ![X1, X2, X3]:(subset(X1,X2)=>subset(set_difference(X1,X3),set_difference(X2,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t33_xboole_1)).
% 282.18/198.89 fof(t118_zfmisc_1, lemma, ![X1, X2, X3]:(subset(X1,X2)=>(subset(cartesian_product2(X1,X3),cartesian_product2(X2,X3))&subset(cartesian_product2(X3,X1),cartesian_product2(X3,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t118_zfmisc_1)).
% 282.18/198.89 fof(abstractness_v3_lattices, axiom, ![X1]:(latt_str(X1)=>(strict_latt_str(X1)=>X1=latt_str_of(the_carrier(X1),the_L_join(X1),the_L_meet(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', abstractness_v3_lattices)).
% 282.18/198.89 fof(dt_k1_toler_1, axiom, ![X1, X2]:(relation(X1)=>relation_of2_as_subset(relation_restriction_as_relation_of(X1,X2),X2,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k1_toler_1)).
% 282.18/198.89 fof(t147_funct_1, lemma, ![X1, X2]:((relation(X2)&function(X2))=>(subset(X1,relation_rng(X2))=>relation_image(X2,relation_inverse_image(X2,X1))=X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t147_funct_1)).
% 282.18/198.89 fof(t140_relat_1, lemma, ![X1, X2, X3]:(relation(X3)=>relation_dom_restriction(relation_rng_restriction(X1,X3),X2)=relation_rng_restriction(X1,relation_dom_restriction(X3,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t140_relat_1)).
% 282.18/198.89 fof(t8_xboole_1, lemma, ![X1, X2, X3]:((subset(X1,X2)&subset(X3,X2))=>subset(set_union2(X1,X3),X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_xboole_1)).
% 282.18/198.89 fof(t38_zfmisc_1, lemma, ![X1, X2, X3]:(subset(unordered_pair(X1,X2),X3)<=>(in(X1,X3)&in(X2,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t38_zfmisc_1)).
% 282.18/198.89 fof(t118_relat_1, lemma, ![X1, X2]:(relation(X2)=>subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t118_relat_1)).
% 282.18/198.89 fof(t99_relat_1, lemma, ![X1, X2]:(relation(X2)=>subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t99_relat_1)).
% 282.18/198.89 fof(t20_wellord1, lemma, ![X1, X2]:(relation(X2)=>(subset(relation_field(relation_restriction(X2,X1)),relation_field(X2))&subset(relation_field(relation_restriction(X2,X1)),X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t20_wellord1)).
% 282.18/198.89 fof(l29_wellord1, lemma, ![X1, X2]:(relation(X2)=>subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l29_wellord1)).
% 282.18/198.89 fof(l71_subset_1, lemma, ![X1, X2]:(![X3]:(in(X3,X1)=>in(X3,X2))=>element(X1,powerset(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l71_subset_1)).
% 282.18/198.89 fof(existence_m2_relset_1, axiom, ![X1, X2]:?[X3]:relation_of2_as_subset(X3,X1,X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_m2_relset_1)).
% 282.18/198.89 fof(rc1_funct_2, axiom, ![X1, X2]:?[X3]:(((relation_of2(X3,X1,X2)&relation(X3))&function(X3))&quasi_total(X3,X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_funct_2)).
% 282.18/198.89 fof(rc2_partfun1, axiom, ![X1, X2]:?[X3]:((relation_of2(X3,X1,X2)&relation(X3))&function(X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_partfun1)).
% 282.18/198.89 fof(existence_m1_relset_1, axiom, ![X1, X2]:?[X3]:relation_of2(X3,X1,X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_m1_relset_1)).
% 282.18/198.89 fof(s1_ordinal1__e8_6__wellord2, lemma, ![X1]:(?[X2]:(ordinal(X2)&in(X2,X1))=>?[X2]:((ordinal(X2)&in(X2,X1))&![X3]:(ordinal(X3)=>(in(X3,X1)=>ordinal_subset(X2,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_ordinal1__e8_6__wellord2)).
% 282.18/198.89 fof(dt_k7_grcat_1, axiom, ![X1]:(one_sorted_str(X1)=>((function(identity_on_carrier(X1))&quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1)))&relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k7_grcat_1)).
% 282.18/198.89 fof(dt_u1_orders_2, axiom, ![X1]:(rel_str(X1)=>relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_u1_orders_2)).
% 282.18/198.89 fof(t116_relat_1, lemma, ![X1, X2]:(relation(X2)=>subset(relation_rng(relation_rng_restriction(X1,X2)),X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t116_relat_1)).
% 282.18/198.89 fof(dt_k3_subset_1, axiom, ![X1, X2]:(element(X2,powerset(X1))=>element(subset_complement(X1,X2),powerset(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k3_subset_1)).
% 282.18/198.89 fof(t39_wellord1, lemma, ![X1, X2]:(relation(X2)=>((well_ordering(X2)&subset(X1,relation_field(X2)))=>relation_field(relation_restriction(X2,X1))=X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t39_wellord1)).
% 282.18/198.89 fof(d3_tarski, axiom, ![X1, X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 282.18/198.89 fof(t46_setfam_1, lemma, ![X1, X2]:(element(X2,powerset(powerset(X1)))=>~((X2!=empty_set&complements_of_subsets(X1,X2)=empty_set))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t46_setfam_1)).
% 282.18/198.89 fof(t10_tops_2, lemma, ![X1, X2]:(element(X2,powerset(powerset(X1)))=>(~((X2!=empty_set&complements_of_subsets(X1,X2)=empty_set))&~((complements_of_subsets(X1,X2)!=empty_set&X2=empty_set)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t10_tops_2)).
% 282.18/198.89 fof(s1_tarski__e6_22__wellord2__1, axiom, ![X1]:(![X2, X3, X4]:((((X2=X3&ordinal(X3))&X2=X4)&ordinal(X4))=>X3=X4)=>?[X2]:![X3]:(in(X3,X2)<=>?[X4]:((in(X4,X1)&X4=X3)&ordinal(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_tarski__e6_22__wellord2__1)).
% 282.18/198.89 fof(involutiveness_k3_subset_1, axiom, ![X1, X2]:(element(X2,powerset(X1))=>subset_complement(X1,subset_complement(X1,X2))=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', involutiveness_k3_subset_1)).
% 282.18/198.89 fof(t21_relat_1, lemma, ![X1]:(relation(X1)=>subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t21_relat_1)).
% 282.18/198.89 fof(dt_u1_pre_topc, axiom, ![X1]:(top_str(X1)=>element(the_topology(X1),powerset(powerset(the_carrier(X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_u1_pre_topc)).
% 282.18/198.89 fof(redefinition_k6_setfam_1, axiom, ![X1, X2]:(element(X2,powerset(powerset(X1)))=>meet_of_subsets(X1,X2)=set_meet(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k6_setfam_1)).
% 282.18/198.89 fof(redefinition_k5_setfam_1, axiom, ![X1, X2]:(element(X2,powerset(powerset(X1)))=>union_of_subsets(X1,X2)=union(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k5_setfam_1)).
% 282.18/198.89 fof(t4_subset, axiom, ![X1, X2, X3]:((in(X1,X2)&element(X2,powerset(X3)))=>element(X1,X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t4_subset)).
% 282.18/198.89 fof(l3_subset_1, lemma, ![X1, X2]:(element(X2,powerset(X1))=>![X3]:(in(X3,X2)=>in(X3,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l3_subset_1)).
% 282.18/198.89 fof(d5_ordinal2, axiom, ![X1]:(X1=omega<=>(((in(empty_set,X1)&being_limit_ordinal(X1))&ordinal(X1))&![X2]:(ordinal(X2)=>((in(empty_set,X2)&being_limit_ordinal(X2))=>subset(X1,X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_ordinal2)).
% 282.18/198.89 fof(t3_ordinal1, lemma, ![X1, X2, X3]:~(((in(X1,X2)&in(X2,X3))&in(X3,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_ordinal1)).
% 282.18/198.89 fof(t5_tex_2, lemma, ![X1, X2]:(element(X2,powerset(X1))=>(proper_element(X2,powerset(X1))<=>X2!=X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_tex_2)).
% 282.18/198.89 fof(t160_relat_1, lemma, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>relation_rng(relation_composition(X1,X2))=relation_image(X2,relation_rng(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t160_relat_1)).
% 282.18/198.89 fof(cc7_yellow_0, axiom, ![X1]:((transitive_relstr(X1)&rel_str(X1))=>![X2]:(subrelstr(X2,X1)=>(full_subrelstr(X2,X1)=>(transitive_relstr(X2)&full_subrelstr(X2,X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc7_yellow_0)).
% 282.18/198.89 fof(t45_xboole_1, lemma, ![X1, X2]:(subset(X1,X2)=>X2=set_union2(X1,set_difference(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t45_xboole_1)).
% 282.18/198.89 fof(t25_relat_1, lemma, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>(subset(X1,X2)=>(subset(relation_dom(X1),relation_dom(X2))&subset(relation_rng(X1),relation_rng(X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t25_relat_1)).
% 282.18/198.89 fof(t174_relat_1, lemma, ![X1, X2]:(relation(X2)=>~(((X1!=empty_set&subset(X1,relation_rng(X2)))&relation_inverse_image(X2,X1)=empty_set))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t174_relat_1)).
% 282.18/198.89 fof(t5_subset, axiom, ![X1, X2, X3]:~(((in(X1,X2)&element(X2,powerset(X3)))&empty(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_subset)).
% 282.18/198.89 fof(t17_wellord1, lemma, ![X1, X2]:(relation(X2)=>relation_restriction(X2,X1)=relation_dom_restriction(relation_rng_restriction(X1,X2),X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t17_wellord1)).
% 282.18/198.89 fof(t18_wellord1, lemma, ![X1, X2]:(relation(X2)=>relation_restriction(X2,X1)=relation_rng_restriction(X1,relation_dom_restriction(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t18_wellord1)).
% 282.18/198.89 fof(t25_wellord2, lemma, ![X1, X2]:(relation(X2)=>(well_orders(X2,X1)=>(relation_field(relation_restriction(X2,X1))=X1&well_ordering(relation_restriction(X2,X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t25_wellord2)).
% 282.18/198.89 fof(rc2_funct_2, axiom, ![X1]:?[X2]:((((((relation_of2(X2,X1,X1)&relation(X2))&function(X2))&one_to_one(X2))&quasi_total(X2,X1,X1))&onto(X2,X1,X1))&bijective(X2,X1,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_funct_2)).
% 282.18/198.89 fof(rc3_partfun1, axiom, ![X1]:?[X2]:((((((relation_of2(X2,X1,X1)&relation(X2))&reflexive(X2))&symmetric(X2))&antisymmetric(X2))&transitive(X2))&v1_partfun1(X2,X1,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc3_partfun1)).
% 282.18/198.89 fof(d5_subset_1, axiom, ![X1, X2]:(element(X2,powerset(X1))=>subset_complement(X1,X2)=set_difference(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_subset_1)).
% 282.18/198.89 fof(t63_xboole_1, lemma, ![X1, X2, X3]:((subset(X1,X2)&disjoint(X2,X3))=>disjoint(X1,X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t63_xboole_1)).
% 282.18/198.89 fof(t1_xboole_1, lemma, ![X1, X2, X3]:((subset(X1,X2)&subset(X2,X3))=>subset(X1,X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_xboole_1)).
% 282.18/198.89 fof(fc1_funct_1, axiom, ![X1, X2]:((((relation(X1)&function(X1))&relation(X2))&function(X2))=>(relation(relation_composition(X1,X2))&function(relation_composition(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_funct_1)).
% 282.18/198.89 fof(d1_finset_1, axiom, ![X1]:(finite(X1)<=>?[X2]:(((relation(X2)&function(X2))&relation_rng(X2)=X1)&in(relation_dom(X2),omega))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_finset_1)).
% 282.18/198.89 fof(t40_xboole_1, lemma, ![X1, X2]:set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t40_xboole_1)).
% 282.18/198.89 fof(t39_xboole_1, lemma, ![X1, X2]:set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t39_xboole_1)).
% 282.18/198.89 fof(d4_wellord2, axiom, ![X1, X2]:(equipotent(X1,X2)<=>?[X3]:((((relation(X3)&function(X3))&one_to_one(X3))&relation_dom(X3)=X1)&relation_rng(X3)=X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_wellord2)).
% 282.18/198.89 fof(d2_tex_2, axiom, ![X1, X2]:(element(X2,X1)=>(proper_element(X2,X1)<=>X2!=union(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tex_2)).
% 282.18/198.89 fof(t31_ordinal1, lemma, ![X1]:(![X2]:(in(X2,X1)=>(ordinal(X2)&subset(X2,X1)))=>ordinal(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t31_ordinal1)).
% 282.18/198.89 fof(d6_orders_2, axiom, ![X1]:(rel_str(X1)=>(antisymmetric_relstr(X1)<=>is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d6_orders_2)).
% 282.18/198.89 fof(d5_orders_2, axiom, ![X1]:(rel_str(X1)=>(transitive_relstr(X1)<=>is_transitive_in(the_InternalRel(X1),the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_orders_2)).
% 282.18/198.89 fof(t167_relat_1, lemma, ![X1, X2]:(relation(X2)=>subset(relation_inverse_image(X2,X1),relation_dom(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t167_relat_1)).
% 282.18/198.89 fof(t144_relat_1, lemma, ![X1, X2]:(relation(X2)=>subset(relation_image(X2,X1),relation_rng(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t144_relat_1)).
% 282.18/198.89 fof(dt_k1_yellow_0, axiom, ![X1, X2]:(rel_str(X1)=>element(join_on_relstr(X1,X2),the_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k1_yellow_0)).
% 282.18/198.89 fof(dt_k2_yellow_0, axiom, ![X1, X2]:(rel_str(X1)=>element(meet_on_relstr(X1,X2),the_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_yellow_0)).
% 282.18/198.89 fof(rc6_pre_topc, axiom, ![X1]:((topological_space(X1)&top_str(X1))=>?[X2]:(element(X2,powerset(the_carrier(X1)))&closed_subset(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc6_pre_topc)).
% 282.18/198.89 fof(rc2_tops_1, axiom, ![X1]:((topological_space(X1)&top_str(X1))=>?[X2]:((element(X2,powerset(the_carrier(X1)))&open_subset(X2,X1))&closed_subset(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_tops_1)).
% 282.18/198.89 fof(rc1_tops_1, axiom, ![X1]:((topological_space(X1)&top_str(X1))=>?[X2]:(element(X2,powerset(the_carrier(X1)))&open_subset(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_tops_1)).
% 282.18/198.89 fof(t17_finset_1, lemma, ![X1, X2]:((relation(X2)&function(X2))=>(finite(X1)=>finite(relation_image(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t17_finset_1)).
% 282.18/198.89 fof(fc13_finset_1, axiom, ![X1, X2]:(((relation(X1)&function(X1))&finite(X2))=>finite(relation_image(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc13_finset_1)).
% 282.18/198.89 fof(redefinition_r1_ordinal1, axiom, ![X1, X2]:((ordinal(X1)&ordinal(X2))=>(ordinal_subset(X1,X2)<=>subset(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_r1_ordinal1)).
% 282.18/198.89 fof(t21_ordinal1, lemma, ![X1]:(epsilon_transitive(X1)=>![X2]:(ordinal(X2)=>(proper_subset(X1,X2)=>in(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t21_ordinal1)).
% 282.18/198.89 fof(s1_xboole_0__e6_22__wellord2, lemma, ![X1]:?[X2]:![X3]:(in(X3,X2)<=>(in(X3,X1)&ordinal(X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e6_22__wellord2)).
% 282.18/198.89 fof(t10_zfmisc_1, lemma, ![X1, X2, X3, X4]:~(((unordered_pair(X1,X2)=unordered_pair(X3,X4)&X1!=X3)&X1!=X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t10_zfmisc_1)).
% 282.18/198.89 fof(d10_xboole_0, axiom, ![X1, X2]:(X1=X2<=>(subset(X1,X2)&subset(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d10_xboole_0)).
% 282.18/198.89 fof(d4_wellord1, axiom, ![X1]:(relation(X1)=>(well_ordering(X1)<=>((((reflexive(X1)&transitive(X1))&antisymmetric(X1))&connected(X1))&well_founded_relation(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_wellord1)).
% 282.18/198.89 fof(t117_relat_1, lemma, ![X1, X2]:(relation(X2)=>subset(relation_rng_restriction(X1,X2),X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t117_relat_1)).
% 282.18/198.89 fof(t88_relat_1, lemma, ![X1, X2]:(relation(X2)=>subset(relation_dom_restriction(X2,X1),X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t88_relat_1)).
% 282.18/198.89 fof(t3_subset, axiom, ![X1, X2]:(element(X1,powerset(X2))<=>subset(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_subset)).
% 282.18/198.89 fof(rc1_waybel_0, axiom, ![X1]:(rel_str(X1)=>?[X2]:((element(X2,powerset(the_carrier(X1)))&directed_subset(X2,X1))&filtered_subset(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_waybel_0)).
% 282.18/198.89 fof(dt_k2_pre_topc, axiom, ![X1]:(one_sorted_str(X1)=>element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_pre_topc)).
% 282.18/198.89 fof(dt_k1_pre_topc, axiom, ![X1]:(one_sorted_str(X1)=>element(empty_carrier_subset(X1),powerset(the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k1_pre_topc)).
% 282.18/198.89 fof(d2_compts_1, axiom, ![X1]:(centered(X1)<=>(X1!=empty_set&![X2]:~((((X2!=empty_set&subset(X2,X1))&finite(X2))&set_meet(X2)=empty_set)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_compts_1)).
% 282.18/198.89 fof(t60_xboole_1, lemma, ![X1, X2]:~((subset(X1,X2)&proper_subset(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t60_xboole_1)).
% 282.18/198.89 fof(fc13_relat_1, axiom, ![X1, X2]:((relation(X1)&relation_empty_yielding(X1))=>(relation(relation_dom_restriction(X1,X2))&relation_empty_yielding(relation_dom_restriction(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc13_relat_1)).
% 282.18/198.89 fof(t32_wellord1, lemma, ![X1, X2]:(relation(X2)=>(well_ordering(X2)=>well_ordering(relation_restriction(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t32_wellord1)).
% 282.18/198.89 fof(t31_wellord1, lemma, ![X1, X2]:(relation(X2)=>(well_founded_relation(X2)=>well_founded_relation(relation_restriction(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t31_wellord1)).
% 282.18/198.89 fof(t23_wellord1, lemma, ![X1, X2]:(relation(X2)=>(connected(X2)=>connected(relation_restriction(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t23_wellord1)).
% 282.18/198.89 fof(t25_wellord1, lemma, ![X1, X2]:(relation(X2)=>(antisymmetric(X2)=>antisymmetric(relation_restriction(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t25_wellord1)).
% 282.18/198.89 fof(t22_wellord1, lemma, ![X1, X2]:(relation(X2)=>(reflexive(X2)=>reflexive(relation_restriction(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t22_wellord1)).
% 282.18/198.89 fof(t24_wellord1, lemma, ![X1, X2]:(relation(X2)=>(transitive(X2)=>transitive(relation_restriction(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t24_wellord1)).
% 282.18/198.89 fof(dt_k5_relat_1, axiom, ![X1, X2]:((relation(X1)&relation(X2))=>relation(relation_composition(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_relat_1)).
% 282.18/198.89 fof(fc9_relat_1, axiom, ![X1, X2]:((empty(X1)&relation(X2))=>(empty(relation_composition(X1,X2))&relation(relation_composition(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc9_relat_1)).
% 282.18/198.89 fof(fc10_relat_1, axiom, ![X1, X2]:((empty(X1)&relation(X2))=>(empty(relation_composition(X2,X1))&relation(relation_composition(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc10_relat_1)).
% 282.18/198.89 fof(fc3_relat_1, axiom, ![X1, X2]:((relation(X1)&relation(X2))=>relation(set_difference(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc3_relat_1)).
% 282.18/198.89 fof(fc5_funct_1, axiom, ![X1, X2]:((relation(X2)&function(X2))=>(relation(relation_rng_restriction(X1,X2))&function(relation_rng_restriction(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc5_funct_1)).
% 282.18/198.89 fof(fc4_funct_1, axiom, ![X1, X2]:((relation(X1)&function(X1))=>(relation(relation_dom_restriction(X1,X2))&function(relation_dom_restriction(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc4_funct_1)).
% 282.18/198.89 fof(fc2_relat_1, axiom, ![X1, X2]:((relation(X1)&relation(X2))=>relation(set_union2(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_relat_1)).
% 282.18/198.89 fof(fc9_finset_1, axiom, ![X1, X2]:((finite(X1)&finite(X2))=>finite(set_union2(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc9_finset_1)).
% 282.18/198.89 fof(fc14_finset_1, axiom, ![X1, X2]:((finite(X1)&finite(X2))=>finite(cartesian_product2(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc14_finset_1)).
% 282.18/198.89 fof(d2_ordinal1, axiom, ![X1]:(epsilon_transitive(X1)<=>![X2]:(in(X2,X1)=>subset(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_ordinal1)).
% 282.18/198.89 fof(t8_wellord1, lemma, ![X1]:(relation(X1)=>(well_orders(X1,relation_field(X1))<=>well_ordering(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_wellord1)).
% 282.18/198.89 fof(t5_wellord1, lemma, ![X1]:(relation(X1)=>(well_founded_relation(X1)<=>is_well_founded_in(X1,relation_field(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_wellord1)).
% 282.18/198.89 fof(d14_relat_2, axiom, ![X1]:(relation(X1)=>(connected(X1)<=>is_connected_in(X1,relation_field(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d14_relat_2)).
% 282.18/198.89 fof(d12_relat_2, axiom, ![X1]:(relation(X1)=>(antisymmetric(X1)<=>is_antisymmetric_in(X1,relation_field(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d12_relat_2)).
% 282.18/198.89 fof(d9_relat_2, axiom, ![X1]:(relation(X1)=>(reflexive(X1)<=>is_reflexive_in(X1,relation_field(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d9_relat_2)).
% 282.18/198.89 fof(d16_relat_2, axiom, ![X1]:(relation(X1)=>(transitive(X1)<=>is_transitive_in(X1,relation_field(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d16_relat_2)).
% 282.18/198.89 fof(cc2_finset_1, axiom, ![X1]:(finite(X1)=>![X2]:(element(X2,powerset(X1))=>finite(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc2_finset_1)).
% 282.18/198.89 fof(cc20_membered, axiom, ![X1]:(v5_membered(X1)=>![X2]:(element(X2,powerset(X1))=>((((v1_membered(X2)&v2_membered(X2))&v3_membered(X2))&v4_membered(X2))&v5_membered(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc20_membered)).
% 282.18/198.89 fof(cc19_membered, axiom, ![X1]:(v4_membered(X1)=>![X2]:(element(X2,powerset(X1))=>(((v1_membered(X2)&v2_membered(X2))&v3_membered(X2))&v4_membered(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc19_membered)).
% 282.18/198.89 fof(cc18_membered, axiom, ![X1]:(v3_membered(X1)=>![X2]:(element(X2,powerset(X1))=>((v1_membered(X2)&v2_membered(X2))&v3_membered(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc18_membered)).
% 282.18/198.89 fof(cc17_membered, axiom, ![X1]:(v2_membered(X1)=>![X2]:(element(X2,powerset(X1))=>(v1_membered(X2)&v2_membered(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc17_membered)).
% 282.18/198.89 fof(cc16_membered, axiom, ![X1]:(v1_membered(X1)=>![X2]:(element(X2,powerset(X1))=>v1_membered(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc16_membered)).
% 282.18/198.89 fof(t35_funct_1, lemma, ![X1, X2]:(in(X2,X1)=>apply(identity_relation(X1),X2)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t35_funct_1)).
% 282.18/198.89 fof(connectedness_r1_ordinal1, axiom, ![X1, X2]:((ordinal(X1)&ordinal(X2))=>(ordinal_subset(X1,X2)|ordinal_subset(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', connectedness_r1_ordinal1)).
% 282.18/198.89 fof(t92_zfmisc_1, lemma, ![X1, X2]:(in(X1,X2)=>subset(X1,union(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t92_zfmisc_1)).
% 282.18/198.89 fof(l50_zfmisc_1, lemma, ![X1, X2]:(in(X1,X2)=>subset(X1,union(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l50_zfmisc_1)).
% 282.18/198.89 fof(t26_finset_1, lemma, ![X1]:((relation(X1)&function(X1))=>(finite(relation_dom(X1))=>finite(relation_rng(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t26_finset_1)).
% 282.18/198.89 fof(abstractness_v1_orders_2, axiom, ![X1]:(rel_str(X1)=>(strict_rel_str(X1)=>X1=rel_str_of(the_carrier(X1),the_InternalRel(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', abstractness_v1_orders_2)).
% 282.18/198.89 fof(t2_subset, axiom, ![X1, X2]:(element(X1,X2)=>(empty(X2)|in(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_subset)).
% 282.18/198.89 fof(t94_relat_1, lemma, ![X1, X2]:(relation(X2)=>relation_dom_restriction(X2,X1)=relation_composition(identity_relation(X1),X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t94_relat_1)).
% 282.18/198.89 fof(t36_xboole_1, lemma, ![X1, X2]:subset(set_difference(X1,X2),X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t36_xboole_1)).
% 282.18/198.89 fof(t7_xboole_1, lemma, ![X1, X2]:subset(X1,set_union2(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_xboole_1)).
% 282.18/198.89 fof(d8_xboole_0, axiom, ![X1, X2]:(proper_subset(X1,X2)<=>(subset(X1,X2)&X1!=X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_xboole_0)).
% 282.18/198.89 fof(t83_xboole_1, lemma, ![X1, X2]:(disjoint(X1,X2)<=>set_difference(X1,X2)=X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t83_xboole_1)).
% 282.18/198.89 fof(t12_xboole_1, lemma, ![X1, X2]:(subset(X1,X2)=>set_union2(X1,X2)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t12_xboole_1)).
% 282.18/198.89 fof(d6_relat_1, axiom, ![X1]:(relation(X1)=>relation_field(X1)=set_union2(relation_dom(X1),relation_rng(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d6_relat_1)).
% 282.18/198.89 fof(dt_k2_wellord1, axiom, ![X1, X2]:(relation(X1)=>relation(relation_restriction(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_wellord1)).
% 282.18/198.89 fof(dt_k8_relat_1, axiom, ![X1, X2]:(relation(X2)=>relation(relation_rng_restriction(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k8_relat_1)).
% 282.18/198.89 fof(dt_k7_relat_1, axiom, ![X1, X2]:(relation(X1)=>relation(relation_dom_restriction(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k7_relat_1)).
% 282.18/198.89 fof(fc12_finset_1, axiom, ![X1, X2]:(finite(X1)=>finite(set_difference(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc12_finset_1)).
% 282.18/198.89 fof(fc41_membered, axiom, ![X1, X2]:(v5_membered(X1)=>((((v1_membered(set_difference(X1,X2))&v2_membered(set_difference(X1,X2)))&v3_membered(set_difference(X1,X2)))&v4_membered(set_difference(X1,X2)))&v5_membered(set_difference(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc41_membered)).
% 282.18/198.89 fof(fc40_membered, axiom, ![X1, X2]:(v4_membered(X1)=>(((v1_membered(set_difference(X1,X2))&v2_membered(set_difference(X1,X2)))&v3_membered(set_difference(X1,X2)))&v4_membered(set_difference(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc40_membered)).
% 282.18/198.89 fof(fc39_membered, axiom, ![X1, X2]:(v3_membered(X1)=>((v1_membered(set_difference(X1,X2))&v2_membered(set_difference(X1,X2)))&v3_membered(set_difference(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc39_membered)).
% 282.18/198.89 fof(fc38_membered, axiom, ![X1, X2]:(v2_membered(X1)=>(v1_membered(set_difference(X1,X2))&v2_membered(set_difference(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc38_membered)).
% 282.18/198.89 fof(fc37_membered, axiom, ![X1, X2]:(v1_membered(X1)=>v1_membered(set_difference(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc37_membered)).
% 282.18/198.89 fof(redefinition_r2_wellord2, axiom, ![X1, X2]:(equipotent(X1,X2)<=>are_equipotent(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_r2_wellord2)).
% 282.18/198.89 fof(symmetry_r2_wellord2, axiom, ![X1, X2]:(equipotent(X1,X2)=>equipotent(X2,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symmetry_r2_wellord2)).
% 282.18/198.89 fof(symmetry_r1_xboole_0, axiom, ![X1, X2]:(disjoint(X1,X2)=>disjoint(X2,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symmetry_r1_xboole_0)).
% 282.18/198.89 fof(t1_subset, axiom, ![X1, X2]:(in(X1,X2)=>element(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_subset)).
% 282.18/198.89 fof(t37_xboole_1, lemma, ![X1, X2]:(set_difference(X1,X2)=empty_set<=>subset(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t37_xboole_1)).
% 282.18/198.89 fof(l32_xboole_1, lemma, ![X1, X2]:(set_difference(X1,X2)=empty_set<=>subset(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l32_xboole_1)).
% 282.18/198.89 fof(t55_funct_1, lemma, ![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)=>(relation_rng(X1)=relation_dom(function_inverse(X1))&relation_dom(X1)=relation_rng(function_inverse(X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t55_funct_1)).
% 282.18/198.89 fof(redefinition_k1_toler_1, axiom, ![X1, X2]:(relation(X1)=>relation_restriction_as_relation_of(X1,X2)=relation_restriction(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k1_toler_1)).
% 282.18/198.89 fof(fc5_pre_topc, axiom, ![X1]:((topological_space(X1)&top_str(X1))=>closed_subset(cast_as_carrier_subset(X1),X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc5_pre_topc)).
% 282.18/198.89 fof(t13_finset_1, lemma, ![X1, X2]:((subset(X1,X2)&finite(X2))=>finite(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t13_finset_1)).
% 282.18/198.89 fof(cc1_arytm_3, axiom, ![X1]:(ordinal(X1)=>![X2]:(element(X2,X1)=>((epsilon_transitive(X2)&epsilon_connected(X2))&ordinal(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_arytm_3)).
% 282.18/198.89 fof(t23_ordinal1, lemma, ![X1, X2]:(ordinal(X2)=>(in(X1,X2)=>ordinal(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t23_ordinal1)).
% 282.18/198.89 fof(cc14_membered, axiom, ![X1]:(v5_membered(X1)=>![X2]:(element(X2,X1)=>((((v1_xcmplx_0(X2)&natural(X2))&v1_xreal_0(X2))&v1_int_1(X2))&v1_rat_1(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc14_membered)).
% 282.18/198.89 fof(cc13_membered, axiom, ![X1]:(v4_membered(X1)=>![X2]:(element(X2,X1)=>(((v1_xcmplx_0(X2)&v1_xreal_0(X2))&v1_int_1(X2))&v1_rat_1(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc13_membered)).
% 282.18/198.89 fof(cc12_membered, axiom, ![X1]:(v3_membered(X1)=>![X2]:(element(X2,X1)=>((v1_xcmplx_0(X2)&v1_xreal_0(X2))&v1_rat_1(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc12_membered)).
% 282.18/198.89 fof(cc11_membered, axiom, ![X1]:(v2_membered(X1)=>![X2]:(element(X2,X1)=>(v1_xcmplx_0(X2)&v1_xreal_0(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc11_membered)).
% 282.18/198.89 fof(cc10_membered, axiom, ![X1]:(v1_membered(X1)=>![X2]:(element(X2,X1)=>v1_xcmplx_0(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc10_membered)).
% 282.18/198.89 fof(dt_l1_waybel_0, axiom, ![X1]:(one_sorted_str(X1)=>![X2]:(net_str(X2,X1)=>rel_str(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_l1_waybel_0)).
% 282.18/198.89 fof(dt_m1_yellow_0, axiom, ![X1]:(rel_str(X1)=>![X2]:(subrelstr(X2,X1)=>rel_str(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_m1_yellow_0)).
% 282.18/198.89 fof(dt_k3_yellow_0, axiom, ![X1]:(rel_str(X1)=>element(bottom_of_relstr(X1),the_carrier(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k3_yellow_0)).
% 282.18/198.89 fof(t62_funct_1, lemma, ![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)=>one_to_one(function_inverse(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t62_funct_1)).
% 282.18/198.89 fof(fc3_funct_1, axiom, ![X1]:(((relation(X1)&function(X1))&one_to_one(X1))=>(relation(relation_inverse(X1))&function(relation_inverse(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc3_funct_1)).
% 282.18/198.89 fof(t146_relat_1, lemma, ![X1]:(relation(X1)=>relation_image(X1,relation_dom(X1))=relation_rng(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t146_relat_1)).
% 282.18/198.89 fof(t7_boole, axiom, ![X1, X2]:~((in(X1,X2)&empty(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_boole)).
% 282.18/198.89 fof(d9_funct_1, axiom, ![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)=>function_inverse(X1)=relation_inverse(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d9_funct_1)).
% 282.18/198.89 fof(reflexivity_r1_ordinal1, axiom, ![X1, X2]:((ordinal(X1)&ordinal(X2))=>ordinal_subset(X1,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r1_ordinal1)).
% 282.18/198.89 fof(d1_struct_0, axiom, ![X1]:(one_sorted_str(X1)=>(empty_carrier(X1)<=>empty(the_carrier(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_struct_0)).
% 282.18/198.89 fof(commutativity_k2_xboole_0, axiom, ![X1, X2]:set_union2(X1,X2)=set_union2(X2,X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_xboole_0)).
% 282.18/198.89 fof(commutativity_k2_tarski, axiom, ![X1, X2]:unordered_pair(X1,X2)=unordered_pair(X2,X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_tarski)).
% 282.18/198.89 fof(existence_m1_yellow_0, axiom, ![X1]:(rel_str(X1)=>?[X2]:subrelstr(X2,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_m1_yellow_0)).
% 282.18/198.89 fof(rc4_waybel_0, axiom, ![X1]:(one_sorted_str(X1)=>?[X2]:(net_str(X2,X1)&strict_net_str(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc4_waybel_0)).
% 282.18/198.89 fof(existence_l1_waybel_0, axiom, ![X1]:(one_sorted_str(X1)=>?[X2]:net_str(X2,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_l1_waybel_0)).
% 282.18/198.89 fof(rc2_subset_1, axiom, ![X1]:?[X2]:(element(X2,powerset(X1))&empty(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_subset_1)).
% 282.18/198.89 fof(rc2_finset_1, axiom, ![X1]:?[X2]:(((((((((element(X2,powerset(X1))&empty(X2))&relation(X2))&function(X2))&one_to_one(X2))&epsilon_transitive(X2))&epsilon_connected(X2))&ordinal(X2))&natural(X2))&finite(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_finset_1)).
% 282.18/198.89 fof(cc2_funct_1, axiom, ![X1]:(((relation(X1)&empty(X1))&function(X1))=>((relation(X1)&function(X1))&one_to_one(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc2_funct_1)).
% 282.18/198.89 fof(cc1_partfun1, axiom, ![X1]:(((relation(X1)&symmetric(X1))&transitive(X1))=>(relation(X1)&reflexive(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_partfun1)).
% 282.18/198.89 fof(cc5_yellow_0, axiom, ![X1]:(rel_str(X1)=>((lower_bounded_relstr(X1)&upper_bounded_relstr(X1))=>bounded_relstr(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc5_yellow_0)).
% 282.18/198.89 fof(dt_k2_funct_1, axiom, ![X1]:((relation(X1)&function(X1))=>(relation(function_inverse(X1))&function(function_inverse(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_funct_1)).
% 282.18/198.89 fof(cc3_arytm_3, axiom, ![X1]:(element(X1,omega)=>(((epsilon_transitive(X1)&epsilon_connected(X1))&ordinal(X1))&natural(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc3_arytm_3)).
% 282.18/198.89 fof(d11_yellow_0, axiom, ![X1]:(rel_str(X1)=>bottom_of_relstr(X1)=join_on_relstr(X1,empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d11_yellow_0)).
% 282.18/198.89 fof(t3_xboole_1, lemma, ![X1]:(subset(X1,empty_set)=>X1=empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_xboole_1)).
% 282.18/198.89 fof(t37_relat_1, lemma, ![X1]:(relation(X1)=>(relation_rng(X1)=relation_dom(relation_inverse(X1))&relation_dom(X1)=relation_rng(relation_inverse(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t37_relat_1)).
% 282.18/198.89 fof(t26_wellord2, lemma, ![X1]:?[X2]:(relation(X2)&well_orders(X2,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t26_wellord2)).
% 282.18/198.89 fof(existence_m1_subset_1, axiom, ![X1]:?[X2]:element(X2,X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_m1_subset_1)).
% 282.18/198.89 fof(cc1_yellow_3, axiom, ![X1]:(rel_str(X1)=>(empty_carrier(X1)=>v1_yellow_3(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_yellow_3)).
% 282.18/198.89 fof(cc2_finsub_1, axiom, ![X1]:((cup_closed(X1)&diff_closed(X1))=>preboolean(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc2_finsub_1)).
% 282.18/198.89 fof(cc2_arytm_3, axiom, ![X1]:((empty(X1)&ordinal(X1))=>(((epsilon_transitive(X1)&epsilon_connected(X1))&ordinal(X1))&natural(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc2_arytm_3)).
% 282.18/198.89 fof(d4_ordinal1, axiom, ![X1]:(ordinal(X1)<=>(epsilon_transitive(X1)&epsilon_connected(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_ordinal1)).
% 282.18/198.89 fof(cc2_ordinal1, axiom, ![X1]:((epsilon_transitive(X1)&epsilon_connected(X1))=>ordinal(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc2_ordinal1)).
% 282.18/198.89 fof(cc4_yellow_0, axiom, ![X1]:(rel_str(X1)=>(bounded_relstr(X1)=>(lower_bounded_relstr(X1)&upper_bounded_relstr(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc4_yellow_0)).
% 282.18/198.89 fof(t65_relat_1, lemma, ![X1]:(relation(X1)=>(relation_dom(X1)=empty_set<=>relation_rng(X1)=empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t65_relat_1)).
% 282.18/198.89 fof(involutiveness_k4_relat_1, axiom, ![X1]:(relation(X1)=>relation_inverse(relation_inverse(X1))=X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', involutiveness_k4_relat_1)).
% 282.18/198.89 fof(dt_k4_relat_1, axiom, ![X1]:(relation(X1)=>relation(relation_inverse(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k4_relat_1)).
% 282.18/198.89 fof(fc11_relat_1, axiom, ![X1]:(empty(X1)=>(empty(relation_inverse(X1))&relation(relation_inverse(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc11_relat_1)).
% 282.18/198.89 fof(fc8_relat_1, axiom, ![X1]:(empty(X1)=>(empty(relation_rng(X1))&relation(relation_rng(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc8_relat_1)).
% 282.18/198.89 fof(fc7_relat_1, axiom, ![X1]:(empty(X1)=>(empty(relation_dom(X1))&relation(relation_dom(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc7_relat_1)).
% 282.18/198.89 fof(fc4_ordinal1, axiom, ![X1]:(ordinal(X1)=>((epsilon_transitive(union(X1))&epsilon_connected(union(X1)))&ordinal(union(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc4_ordinal1)).
% 282.18/198.89 fof(fc1_pre_topc, axiom, ![X1]:(one_sorted_str(X1)=>(((((empty(empty_carrier_subset(X1))&v1_membered(empty_carrier_subset(X1)))&v2_membered(empty_carrier_subset(X1)))&v3_membered(empty_carrier_subset(X1)))&v4_membered(empty_carrier_subset(X1)))&v5_membered(empty_carrier_subset(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_pre_topc)).
% 282.18/198.89 fof(t8_boole, axiom, ![X1, X2]:~(((empty(X1)&X1!=X2)&empty(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_boole)).
% 282.18/198.89 fof(t64_relat_1, lemma, ![X1]:(relation(X1)=>((relation_dom(X1)=empty_set|relation_rng(X1)=empty_set)=>X1=empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t64_relat_1)).
% 282.18/198.89 fof(t12_pre_topc, lemma, ![X1]:(one_sorted_str(X1)=>cast_as_carrier_subset(X1)=the_carrier(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t12_pre_topc)).
% 282.18/198.89 fof(d3_pre_topc, axiom, ![X1]:(one_sorted_str(X1)=>cast_as_carrier_subset(X1)=the_carrier(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_pre_topc)).
% 282.18/198.89 fof(idempotence_k2_xboole_0, axiom, ![X1, X2]:set_union2(X1,X1)=X1, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', idempotence_k2_xboole_0)).
% 282.18/198.89 fof(reflexivity_r2_wellord2, axiom, ![X1, X2]:equipotent(X1,X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r2_wellord2)).
% 282.18/198.89 fof(reflexivity_r1_tarski, axiom, ![X1, X2]:subset(X1,X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 282.18/198.89 fof(t1_zfmisc_1, lemma, powerset(empty_set)=singleton(empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_zfmisc_1)).
% 282.18/198.89 fof(t3_boole, axiom, ![X1]:set_difference(X1,empty_set)=X1, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_boole)).
% 282.18/198.89 fof(t1_boole, axiom, ![X1]:set_union2(X1,empty_set)=X1, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_boole)).
% 282.18/198.89 fof(d6_ordinal1, axiom, ![X1]:(being_limit_ordinal(X1)<=>X1=union(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d6_ordinal1)).
% 282.18/198.89 fof(t2_xboole_1, lemma, ![X1]:subset(empty_set,X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_xboole_1)).
% 282.18/198.89 fof(t4_boole, axiom, ![X1]:set_difference(empty_set,X1)=empty_set, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t4_boole)).
% 282.18/198.89 fof(dt_l3_lattices, axiom, ![X1]:(latt_str(X1)=>(meet_semilatt_str(X1)&join_semilatt_str(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_l3_lattices)).
% 282.18/198.89 fof(cc1_relat_1, axiom, ![X1]:(empty(X1)=>relation(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_relat_1)).
% 282.18/198.89 fof(cc1_funct_1, axiom, ![X1]:(empty(X1)=>function(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_funct_1)).
% 282.18/198.89 fof(cc1_finsub_1, axiom, ![X1]:(preboolean(X1)=>(cup_closed(X1)&diff_closed(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_finsub_1)).
% 282.18/198.89 fof(cc1_finset_1, axiom, ![X1]:(empty(X1)=>finite(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_finset_1)).
% 282.18/198.89 fof(cc1_ordinal1, axiom, ![X1]:(ordinal(X1)=>(epsilon_transitive(X1)&epsilon_connected(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_ordinal1)).
% 282.18/198.89 fof(cc3_ordinal1, axiom, ![X1]:(empty(X1)=>((epsilon_transitive(X1)&epsilon_connected(X1))&ordinal(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc3_ordinal1)).
% 282.18/198.89 fof(cc15_membered, axiom, ![X1]:(empty(X1)=>((((v1_membered(X1)&v2_membered(X1))&v3_membered(X1))&v4_membered(X1))&v5_membered(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc15_membered)).
% 282.18/198.89 fof(cc1_membered, axiom, ![X1]:(v5_membered(X1)=>v4_membered(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_membered)).
% 282.18/198.89 fof(cc2_membered, axiom, ![X1]:(v4_membered(X1)=>v3_membered(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc2_membered)).
% 282.18/198.89 fof(cc3_membered, axiom, ![X1]:(v3_membered(X1)=>v2_membered(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc3_membered)).
% 282.18/198.89 fof(cc4_membered, axiom, ![X1]:(v2_membered(X1)=>v1_membered(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc4_membered)).
% 282.18/198.89 fof(dt_l1_pre_topc, axiom, ![X1]:(top_str(X1)=>one_sorted_str(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_l1_pre_topc)).
% 282.18/198.89 fof(dt_l1_lattices, axiom, ![X1]:(meet_semilatt_str(X1)=>one_sorted_str(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_l1_lattices)).
% 282.18/198.89 fof(dt_l2_lattices, axiom, ![X1]:(join_semilatt_str(X1)=>one_sorted_str(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_l2_lattices)).
% 282.18/198.89 fof(dt_l1_orders_2, axiom, ![X1]:(rel_str(X1)=>one_sorted_str(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_l1_orders_2)).
% 282.18/198.89 fof(d2_pre_topc, axiom, ![X1]:(one_sorted_str(X1)=>empty_carrier_subset(X1)=empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_pre_topc)).
% 282.18/198.89 fof(t99_zfmisc_1, lemma, ![X1]:union(powerset(X1))=X1, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t99_zfmisc_1)).
% 282.18/198.89 fof(t71_relat_1, lemma, ![X1]:(relation_dom(identity_relation(X1))=X1&relation_rng(identity_relation(X1))=X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t71_relat_1)).
% 282.18/198.89 fof(fc2_partfun1, axiom, ![X1]:(((((relation(identity_relation(X1))&function(identity_relation(X1)))&reflexive(identity_relation(X1)))&symmetric(identity_relation(X1)))&antisymmetric(identity_relation(X1)))&transitive(identity_relation(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_partfun1)).
% 282.18/198.89 fof(fc2_funct_1, axiom, ![X1]:(relation(identity_relation(X1))&function(identity_relation(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_funct_1)).
% 282.18/198.89 fof(dt_k6_relat_1, axiom, ![X1]:relation(identity_relation(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k6_relat_1)).
% 282.18/198.89 fof(t3_lattice3, lemma, ![X1]:(lower_bounded_semilattstr(boole_lattice(X1))&bottom_of_semilattstr(boole_lattice(X1))=empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_lattice3)).
% 282.18/198.89 fof(fc5_yellow_1, axiom, ![X1]:(((strict_rel_str(incl_POSet(X1))&reflexive_relstr(incl_POSet(X1)))&transitive_relstr(incl_POSet(X1)))&antisymmetric_relstr(incl_POSet(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc5_yellow_1)).
% 282.18/198.89 fof(dt_k1_lattice3, axiom, ![X1]:(strict_latt_str(boole_lattice(X1))&latt_str(boole_lattice(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k1_lattice3)).
% 282.18/198.89 fof(dt_k2_yellow_1, axiom, ![X1]:(strict_rel_str(incl_POSet(X1))&rel_str(incl_POSet(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_yellow_1)).
% 282.18/198.89 fof(t6_boole, axiom, ![X1]:(empty(X1)=>X1=empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t6_boole)).
% 282.18/198.89 fof(fc1_ordinal2, axiom, (((epsilon_transitive(omega)&epsilon_connected(omega))&ordinal(omega))&~(empty(omega))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_ordinal2)).
% 282.18/198.89 fof(rc4_funct_1, axiom, ?[X1]:((relation(X1)&relation_empty_yielding(X1))&function(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc4_funct_1)).
% 282.18/198.89 fof(rc3_relat_1, axiom, ?[X1]:(relation(X1)&relation_empty_yielding(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc3_relat_1)).
% 282.18/198.89 fof(rc1_pboole, axiom, ?[X1]:((relation(X1)&relation_empty_yielding(X1))&function(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_pboole)).
% 282.18/198.89 fof(rc1_ordinal2, axiom, ?[X1]:(((epsilon_transitive(X1)&epsilon_connected(X1))&ordinal(X1))&being_limit_ordinal(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_ordinal2)).
% 282.18/198.89 fof(existence_l1_pre_topc, axiom, ?[X1]:top_str(X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_l1_pre_topc)).
% 282.18/198.89 fof(existence_l1_lattices, axiom, ?[X1]:meet_semilatt_str(X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_l1_lattices)).
% 282.18/198.89 fof(existence_l2_lattices, axiom, ?[X1]:join_semilatt_str(X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_l2_lattices)).
% 282.18/198.89 fof(rc3_funct_1, axiom, ?[X1]:((relation(X1)&function(X1))&one_to_one(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc3_funct_1)).
% 282.18/198.89 fof(rc2_ordinal1, axiom, ?[X1]:((((((relation(X1)&function(X1))&one_to_one(X1))&empty(X1))&epsilon_transitive(X1))&epsilon_connected(X1))&ordinal(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_ordinal1)).
% 282.18/198.89 fof(rc1_partfun1, axiom, ?[X1]:(((relation(X1)&function(X1))&one_to_one(X1))&empty(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_partfun1)).
% 282.18/198.89 fof(rc2_funct_1, axiom, ?[X1]:((relation(X1)&empty(X1))&function(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc2_funct_1)).
% 282.18/198.89 fof(rc1_relat_1, axiom, ?[X1]:(empty(X1)&relation(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_relat_1)).
% 282.18/198.89 fof(rc1_funct_1, axiom, ?[X1]:(relation(X1)&function(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_funct_1)).
% 282.18/198.89 fof(rc1_ordinal1, axiom, ?[X1]:((epsilon_transitive(X1)&epsilon_connected(X1))&ordinal(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_ordinal1)).
% 282.18/198.89 fof(rc1_xboole_0, axiom, ?[X1]:empty(X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_xboole_0)).
% 282.18/198.89 fof(existence_l1_struct_0, axiom, ?[X1]:one_sorted_str(X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_l1_struct_0)).
% 282.18/198.89 fof(rc3_lattices, axiom, ?[X1]:(latt_str(X1)&strict_latt_str(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc3_lattices)).
% 282.18/198.89 fof(existence_l3_lattices, axiom, ?[X1]:latt_str(X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_l3_lattices)).
% 282.18/198.89 fof(rc1_orders_2, axiom, ?[X1]:(rel_str(X1)&strict_rel_str(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rc1_orders_2)).
% 282.18/198.89 fof(existence_l1_orders_2, axiom, ?[X1]:rel_str(X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_l1_orders_2)).
% 282.18/198.89 fof(fc2_ordinal1, axiom, (((((((relation(empty_set)&relation_empty_yielding(empty_set))&function(empty_set))&one_to_one(empty_set))&empty(empty_set))&epsilon_transitive(empty_set))&epsilon_connected(empty_set))&ordinal(empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_ordinal1)).
% 282.18/198.89 fof(fc12_relat_1, axiom, ((empty(empty_set)&relation(empty_set))&relation_empty_yielding(empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc12_relat_1)).
% 282.18/198.89 fof(fc4_relat_1, axiom, (empty(empty_set)&relation(empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc4_relat_1)).
% 282.18/198.89 fof(fc6_membered, axiom, (((((empty(empty_set)&v1_membered(empty_set))&v2_membered(empty_set))&v3_membered(empty_set))&v4_membered(empty_set))&v5_membered(empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc6_membered)).
% 282.18/198.89 fof(fc1_xboole_0, axiom, empty(empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_xboole_0)).
% 282.18/198.89 fof(t60_relat_1, lemma, (relation_dom(empty_set)=empty_set&relation_rng(empty_set)=empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t60_relat_1)).
% 282.18/198.89 fof(i_0_832, plain, ![X2, X3, X4]:(epred2_3(X4,X3,X2)<=>(((X2=X3&?[X5]:((ordinal(X5)&X3=X5)&(in(X5,omega)=>![X6]:(element(X6,powerset(powerset(X5)))=>~((X6!=empty_set&![X7]:~((in(X7,X6)&![X8]:((in(X8,X6)&subset(X7,X8))=>X8=X7)))))))))&X2=X4)&?[X9]:((ordinal(X9)&X4=X9)&(in(X9,omega)=>![X10]:(element(X10,powerset(powerset(X9)))=>~((X10!=empty_set&![X11]:~((in(X11,X10)&![X12]:((in(X12,X10)&subset(X11,X12))=>X12=X11)))))))))), introduced(definition)).
% 282.18/198.89 fof(i_0_833, plain, (epred1_0<=>((in(empty_set,omega)=>![X1]:(element(X1,powerset(powerset(empty_set)))=>~((X1!=empty_set&![X2]:~((in(X2,X1)&![X3]:((in(X3,X1)&subset(X2,X3))=>X3=X2)))))))&![X4]:(ordinal(X4)=>((in(X4,omega)=>![X5]:(element(X5,powerset(powerset(X4)))=>~((X5!=empty_set&![X6]:~((in(X6,X5)&![X7]:((in(X7,X5)&subset(X6,X7))=>X7=X6)))))))=>(in(succ(X4),omega)=>![X8]:(element(X8,powerset(powerset(succ(X4))))=>~((X8!=empty_set&![X9]:~((in(X9,X8)&![X10]:((in(X10,X8)&subset(X9,X10))=>X10=X9))))))))))), introduced(definition)).
% 282.18/198.89 fof(i_0_834, plain, ![X1, X2]:((~empty(X1)&relation(X2))=>![X3]:(![X4, X5, X6]:((((X4=X5&?[X7, X8]:((ordered_pair(X7,X8)=X5&in(X7,X1))&?[X9]:((X7=X9&in(X8,X9))&![X10]:(in(X10,X9)=>in(ordered_pair(X8,X10),X2)))))&X4=X6)&?[X11, X12]:((ordered_pair(X11,X12)=X6&in(X11,X1))&?[X13]:((X11=X13&in(X12,X13))&![X14]:(in(X14,X13)=>in(ordered_pair(X12,X14),X2)))))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,cartesian_product2(X1,X3))&X6=X5)&?[X15, X16]:((ordered_pair(X15,X16)=X5&in(X15,X1))&?[X17]:((X15=X17&in(X16,X17))&![X18]:(in(X18,X17)=>in(ordered_pair(X16,X18),X2)))))))), inference(fof_simplification,[status(thm)],[s1_tarski__e10_24__wellord2__2])).
% 282.18/198.89 fof(i_0_835, plain, ![X2929, X2930]:ordered_pair(X2929,X2930)=unordered_pair(unordered_pair(X2929,X2930),singleton(X2929)), inference(variable_rename,[status(thm)],[d5_tarski])).
% 282.18/198.89 fof(i_0_836, lemma, ![X4845]:unordered_pair(X4845,X4845)=singleton(X4845), inference(variable_rename,[status(thm)],[t69_enumset1])).
% 282.18/198.89 fof(i_0_837, lemma, ![X1, X2]:((~empty(X1)&relation(X2))=>![X3]:?[X4]:![X5]:(in(X5,X4)<=>(in(X5,cartesian_product2(X1,X3))&?[X6, X7]:((ordered_pair(X6,X7)=X5&in(X6,X1))&?[X8]:((X6=X8&in(X7,X8))&![X9]:(in(X9,X8)=>in(ordered_pair(X7,X9),X2))))))), inference(fof_simplification,[status(thm)],[s1_xboole_0__e10_24__wellord2__1])).
% 282.18/198.89 fof(i_0_838, lemma, ![X1, X2]:((~empty(X1)&relation(X2))=>(![X3, X4, X5]:((((in(X3,X1)&?[X6]:((X3=X6&in(X4,X6))&![X7]:(in(X7,X6)=>in(ordered_pair(X4,X7),X2))))&in(X3,X1))&?[X8]:((X3=X8&in(X5,X8))&![X9]:(in(X9,X8)=>in(ordered_pair(X5,X9),X2))))=>X4=X5)=>?[X3]:((relation(X3)&function(X3))&![X4, X5]:(in(ordered_pair(X4,X5),X3)<=>(in(X4,X1)&?[X10]:((X4=X10&in(X5,X10))&![X11]:(in(X11,X10)=>in(ordered_pair(X5,X11),X2)))))))), inference(fof_simplification,[status(thm)],[s1_funct_1__e10_24__wellord2__1])).
% 282.18/198.89 fof(i_0_839, plain, ![X1, X2]:((~empty(X1)&relation(X2))=>(![X3, X4, X5]:((((in(X3,X1)&?[X6]:((X3=X6&in(X4,X6))&![X7]:(in(X7,X6)=>in(ordered_pair(X4,X7),X2))))&in(X3,X1))&?[X8]:((X3=X8&in(X5,X8))&![X9]:(in(X9,X8)=>in(ordered_pair(X5,X9),X2))))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:(in(X5,X1)&?[X10]:((X5=X10&in(X4,X10))&![X11]:(in(X11,X10)=>in(ordered_pair(X4,X11),X2))))))), inference(fof_simplification,[status(thm)],[s1_tarski__e10_24__wellord2__1])).
% 282.18/198.89 fof(i_0_840, lemma, ![X1, X2, X3]:(relation_of2_as_subset(X3,X1,X2)=>(![X4]:~((in(X4,X2)&![X5]:~in(ordered_pair(X5,X4),X3)))<=>relation_rng_as_subset(X1,X2,X3)=X2)), inference(fof_simplification,[status(thm)],[t23_relset_1])).
% 282.18/198.89 fof(i_0_841, lemma, ![X1, X2]:((~empty(X1)&relation(X2))=>((![X3, X4, X5]:(((in(X3,X1)&?[X6]:((X3=X6&in(X4,X6))&![X7]:(in(X7,X6)=>in(ordered_pair(X4,X7),X2))))&?[X8]:((X3=X8&in(X5,X8))&![X9]:(in(X9,X8)=>in(ordered_pair(X5,X9),X2))))=>X4=X5)&![X3]:~((in(X3,X1)&![X4]:~(?[X10]:((X3=X10&in(X4,X10))&![X11]:(in(X11,X10)=>in(ordered_pair(X4,X11),X2)))))))=>?[X3]:(((relation(X3)&function(X3))&relation_dom(X3)=X1)&![X4]:(in(X4,X1)=>?[X12]:((X4=X12&in(apply(X3,X4),X12))&![X13]:(in(X13,X12)=>in(ordered_pair(apply(X3,X4),X13),X2))))))), inference(fof_simplification,[status(thm)],[s2_funct_1__e10_24__wellord2])).
% 282.18/198.89 fof(i_0_842, lemma, ![X1, X2, X3]:(relation_of2_as_subset(X3,X2,X1)=>(![X4]:~((in(X4,X2)&![X5]:~in(ordered_pair(X4,X5),X3)))<=>relation_dom_as_subset(X2,X1,X3)=X2)), inference(fof_simplification,[status(thm)],[t22_relset_1])).
% 282.18/198.89 fof(i_0_843, lemma, ![X1, X2, X3]:((((((~empty_carrier(X1)&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>(((finite(X3)&?[X4]:((element(X4,the_carrier(X1))&in(X4,X2))&relstr_set_smaller(X1,empty_set,X4)))&![X5, X6]:(((in(X5,X3)&subset(X6,X3))&?[X7]:((element(X7,the_carrier(X1))&in(X7,X2))&relstr_set_smaller(X1,X6,X7)))=>?[X8]:((element(X8,the_carrier(X1))&in(X8,X2))&relstr_set_smaller(X1,set_union2(X6,singleton(X5)),X8))))=>?[X9]:((element(X9,the_carrier(X1))&in(X9,X2))&relstr_set_smaller(X1,X3,X9)))), inference(fof_simplification,[status(thm)],[s2_finset_1__e11_2_1__waybel_0])).
% 282.18/198.89 fof(i_0_844, lemma, ![X1, X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>(![X3, X4, X5]:((((in(X3,complements_of_subsets(the_carrier(X1),X2))&![X6]:(element(X6,powerset(the_carrier(X1)))=>(X6=X3=>X4=subset_complement(the_carrier(X1),X6))))&in(X3,complements_of_subsets(the_carrier(X1),X2)))&![X7]:(element(X7,powerset(the_carrier(X1)))=>(X7=X3=>X5=subset_complement(the_carrier(X1),X7))))=>X4=X5)=>?[X3]:((relation(X3)&function(X3))&![X4, X5]:(in(ordered_pair(X4,X5),X3)<=>(in(X4,complements_of_subsets(the_carrier(X1),X2))&![X8]:(element(X8,powerset(the_carrier(X1)))=>(X8=X4=>X5=subset_complement(the_carrier(X1),X8)))))))), inference(fof_simplification,[status(thm)],[s1_funct_1__e4_7_1__tops_2__1])).
% 282.18/198.89 fof(i_0_845, lemma, ![X1, X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>(![X3, X4, X5]:((((in(X3,X2)&![X6]:(element(X6,powerset(the_carrier(X1)))=>(X6=X3=>X4=subset_complement(the_carrier(X1),X6))))&in(X3,X2))&![X7]:(element(X7,powerset(the_carrier(X1)))=>(X7=X3=>X5=subset_complement(the_carrier(X1),X7))))=>X4=X5)=>?[X3]:((relation(X3)&function(X3))&![X4, X5]:(in(ordered_pair(X4,X5),X3)<=>(in(X4,X2)&![X8]:(element(X8,powerset(the_carrier(X1)))=>(X8=X4=>X5=subset_complement(the_carrier(X1),X8)))))))), inference(fof_simplification,[status(thm)],[s1_funct_1__e4_7_2__tops_2__1])).
% 282.18/198.89 fof(i_0_846, axiom, ![X1]:(ordinal(X1)=>(![X2, X3, X4]:(epred2_3(X4,X3,X2)=>X3=X4)=>?[X2]:![X3]:(in(X3,X2)<=>?[X4]:((in(X4,succ(X1))&X4=X3)&?[X13]:((ordinal(X13)&X3=X13)&(in(X13,omega)=>![X14]:(element(X14,powerset(powerset(X13)))=>~((X14!=empty_set&![X15]:~((in(X15,X14)&![X16]:((in(X16,X14)&subset(X15,X16))=>X16=X15)))))))))))), inference(apply_def,[status(thm)],[s1_tarski__e18_27__finset_1__1, c_0_832])).
% 282.18/198.89 fof(i_0_847, plain, ![X2617]:succ(X2617)=set_union2(X2617,singleton(X2617)), inference(variable_rename,[status(thm)],[d1_ordinal1])).
% 282.18/198.89 fof(i_0_848, lemma, ![X4473]:(the_carrier(incl_POSet(X4473))=X4473&the_InternalRel(incl_POSet(X4473))=inclusion_order(X4473)), inference(variable_rename,[status(thm)],[t1_yellow_1])).
% 282.18/198.89 fof(i_0_849, plain, ![X3657]:inclusion_order(X3657)=inclusion_relation(X3657), inference(variable_rename,[status(thm)],[redefinition_k1_yellow_1])).
% 282.18/198.89 fof(i_0_850, plain, ![X1]:(relation(X1)=>![X2]:(is_connected_in(X1,X2)<=>![X3, X4]:~(((((in(X3,X2)&in(X4,X2))&X3!=X4)&~in(ordered_pair(X3,X4),X1))&~in(ordered_pair(X4,X3),X1))))), inference(fof_simplification,[status(thm)],[d6_relat_2])).
% 282.18/198.89 fof(i_0_851, plain, ![X1, X2, X3, X4]:((((((((~empty_carrier(X1)&lattice(X1))&latt_str(X1))&~empty_carrier(X2))&lattice(X2))&latt_str(X2))&element(X3,the_carrier(X1)))&element(X4,the_carrier(X2)))=>k10_filter_1(X1,X2,X3,X4)=ordered_pair(X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k10_filter_1])).
% 282.18/198.89 fof(i_0_852, plain, ![X1]:((~empty_carrier(X1)&latt_str(X1))=>((((~empty_carrier(X1)&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>![X2, X3]:(element(X3,the_carrier(X1))=>(X3=join_of_latt_set(X1,X2)<=>(latt_element_smaller(X1,X3,X2)&![X4]:(element(X4,the_carrier(X1))=>(latt_element_smaller(X1,X4,X2)=>below(X1,X3,X4)))))))), inference(fof_simplification,[status(thm)],[d21_lattice3])).
% 282.18/198.89 fof(i_0_853, lemma, ![X1]:(relation(X1)=>(connected(X1)<=>![X2, X3]:~(((((in(X2,relation_field(X1))&in(X3,relation_field(X1)))&X2!=X3)&~in(ordered_pair(X2,X3),X1))&~in(ordered_pair(X3,X2),X1))))), inference(fof_simplification,[status(thm)],[l4_wellord1])).
% 282.18/198.89 fof(i_0_854, plain, ![X1, X2, X3, X4]:((((~empty(X1)&~empty(X2))&element(X3,X1))&element(X4,X2))=>ordered_pair_as_product_element(X1,X2,X3,X4)=ordered_pair(X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k1_domain_1])).
% 282.18/198.89 fof(i_0_855, plain, (((in(empty_set,omega)=>![X1]:(element(X1,powerset(powerset(empty_set)))=>~((X1!=empty_set&![X2]:~((in(X2,X1)&![X3]:((in(X3,X1)&subset(X2,X3))=>X3=X2)))))))&![X4]:(ordinal(X4)=>((in(X4,omega)=>![X5]:(element(X5,powerset(powerset(X4)))=>~((X5!=empty_set&![X6]:~((in(X6,X5)&![X7]:((in(X7,X5)&subset(X6,X7))=>X7=X6)))))))=>(in(succ(X4),omega)=>![X8]:(element(X8,powerset(powerset(succ(X4))))=>~((X8!=empty_set&![X9]:~((in(X9,X8)&![X10]:((in(X10,X8)&subset(X9,X10))=>X10=X9))))))))))=>epred1_0), inference(split_equiv,[status(thm)],[i_0_833])).
% 282.18/198.89 fof(i_0_856, plain, ![X1, X2]:(relation_of2(X2,singleton(X1),singleton(X1))=>((~empty_carrier(rel_str_of(singleton(X1),X2))&strict_rel_str(rel_str_of(singleton(X1),X2)))&trivial_carrier(rel_str_of(singleton(X1),X2)))), inference(fof_simplification,[status(thm)],[fc1_yellow_0])).
% 282.18/198.89 fof(i_0_857, plain, ![X1]:((relation(X1)&function(X1))=>![X2, X3]:((in(X2,relation_dom(X1))=>(X3=apply(X1,X2)<=>in(ordered_pair(X2,X3),X1)))&(~in(X2,relation_dom(X1))=>(X3=apply(X1,X2)<=>X3=empty_set)))), inference(fof_simplification,[status(thm)],[d4_funct_1])).
% 282.18/198.89 fof(i_0_858, lemma, ![X1]:(![X2, X3, X4]:((((in(X2,X1)&X3=singleton(X2))&in(X2,X1))&X4=singleton(X2))=>X3=X4)=>?[X2]:((relation(X2)&function(X2))&![X3, X4]:(in(ordered_pair(X3,X4),X2)<=>(in(X3,X1)&X4=singleton(X3))))), inference(fof_simplification,[status(thm)],[s1_funct_1__e16_22__wellord2__1])).
% 282.18/198.89 fof(i_0_859, lemma, ![X1]:(relation(X1)=>(![X2, X3]:~in(ordered_pair(X2,X3),X1)=>X1=empty_set)), inference(fof_simplification,[status(thm)],[t56_relat_1])).
% 282.18/198.89 fof(i_0_860, plain, ![X1, X2]:~empty(ordered_pair(X1,X2)), inference(fof_simplification,[status(thm)],[fc1_zfmisc_1])).
% 282.18/198.89 fof(i_0_861, lemma, ![X1, X2]:(~((~disjoint(X1,X2)&![X3]:~in(X3,set_intersection2(X1,X2))))&~((?[X3]:in(X3,set_intersection2(X1,X2))&disjoint(X1,X2)))), inference(fof_simplification,[status(thm)],[t4_xboole_0])).
% 282.18/198.89 fof(i_0_862, plain, ![X1]:((ordinal(X1)&natural(X1))=>((((~empty(succ(X1))&epsilon_transitive(succ(X1)))&epsilon_connected(succ(X1)))&ordinal(succ(X1)))&natural(succ(X1)))), inference(fof_simplification,[status(thm)],[fc2_arytm_3])).
% 282.18/198.89 fof(i_0_863, plain, ![X1]:(ordinal(X1)=>(((~empty(succ(X1))&epsilon_transitive(succ(X1)))&epsilon_connected(succ(X1)))&ordinal(succ(X1)))), inference(fof_simplification,[status(thm)],[fc3_ordinal1])).
% 282.18/198.89 fof(i_0_864, plain, ![X1]:(![X2, X3, X4]:((((in(X2,X1)&X3=singleton(X2))&in(X2,X1))&X4=singleton(X2))=>X3=X4)=>?[X2]:![X3]:(in(X3,X2)<=>?[X4]:(in(X4,X1)&X3=singleton(X4)))), inference(fof_simplification,[status(thm)],[s1_tarski__e16_22__wellord2__1])).
% 282.18/198.89 fof(i_0_865, plain, ![X1, X2]:(epred3_2(X2,X1)<=>(((((reflexive(X1)=>reflexive(X2))&(transitive(X1)=>transitive(X2)))&(connected(X1)=>connected(X2)))&(antisymmetric(X1)=>antisymmetric(X2)))&(well_founded_relation(X1)=>well_founded_relation(X2)))), introduced(definition)).
% 282.18/198.89 fof(i_0_866, plain, ![X1]:~empty(succ(X1)), inference(fof_simplification,[status(thm)],[fc1_ordinal1])).
% 282.18/198.89 fof(i_0_867, lemma, ![X1, X2]:(set_difference(X1,singleton(X2))=X1<=>~in(X2,X1)), inference(fof_simplification,[status(thm)],[t65_zfmisc_1])).
% 282.18/198.89 fof(i_0_868, lemma, ![X1]:(ordinal(X1)=>(~((~being_limit_ordinal(X1)&![X2]:(ordinal(X2)=>X1!=succ(X2))))&~((?[X2]:(ordinal(X2)&X1=succ(X2))&being_limit_ordinal(X1))))), inference(fof_simplification,[status(thm)],[t42_ordinal1])).
% 282.18/198.89 fof(i_0_869, negated_conjecture, ~(![X1]:(~empty(X1)=>![X2]:(((((~empty(X2)&filtered_subset(X2,boole_POSet(X1)))&upper_relstr_subset(X2,boole_POSet(X1)))&proper_element(X2,powerset(the_carrier(boole_POSet(X1)))))&element(X2,powerset(the_carrier(boole_POSet(X1)))))=>![X3]:~((in(X3,X2)&empty(X3)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t2_yellow19])])).
% 282.18/198.89 fof(i_0_870, lemma, ![X1, X2]:(~in(X1,X2)=>disjoint(singleton(X1),X2)), inference(fof_simplification,[status(thm)],[l28_zfmisc_1])).
% 282.18/198.89 fof(i_0_871, plain, ![X1]:~empty(singleton(X1)), inference(fof_simplification,[status(thm)],[fc2_subset_1])).
% 282.18/198.89 fof(i_0_872, plain, ![X1]:(~empty(singleton(X1))&finite(singleton(X1))), inference(fof_simplification,[status(thm)],[fc1_finset_1])).
% 282.18/198.89 fof(i_0_873, plain, ![X1]:(~empty(X1)=>((((((((((((((((((~empty_carrier(boole_POSet(X1))&~trivial_carrier(boole_POSet(X1)))&strict_rel_str(boole_POSet(X1)))&reflexive_relstr(boole_POSet(X1)))&transitive_relstr(boole_POSet(X1)))&antisymmetric_relstr(boole_POSet(X1)))&lower_bounded_relstr(boole_POSet(X1)))&upper_bounded_relstr(boole_POSet(X1)))&bounded_relstr(boole_POSet(X1)))&up_complete_relstr(boole_POSet(X1)))&join_complete_relstr(boole_POSet(X1)))&~v1_yellow_3(boole_POSet(X1)))&distributive_relstr(boole_POSet(X1)))&heyting_relstr(boole_POSet(X1)))&complemented_relstr(boole_POSet(X1)))&boolean_relstr(boole_POSet(X1)))&with_suprema_relstr(boole_POSet(X1)))&with_infima_relstr(boole_POSet(X1)))&complete_relstr(boole_POSet(X1)))), inference(fof_simplification,[status(thm)],[fc2_waybel_7])).
% 282.18/198.89 fof(i_0_874, plain, ![X1]:((((((((((((((~empty_carrier(boole_POSet(X1))&strict_rel_str(boole_POSet(X1)))&reflexive_relstr(boole_POSet(X1)))&transitive_relstr(boole_POSet(X1)))&antisymmetric_relstr(boole_POSet(X1)))&lower_bounded_relstr(boole_POSet(X1)))&upper_bounded_relstr(boole_POSet(X1)))&bounded_relstr(boole_POSet(X1)))&directed_relstr(boole_POSet(X1)))&up_complete_relstr(boole_POSet(X1)))&join_complete_relstr(boole_POSet(X1)))&~v1_yellow_3(boole_POSet(X1)))&with_suprema_relstr(boole_POSet(X1)))&with_infima_relstr(boole_POSet(X1)))&complete_relstr(boole_POSet(X1))), inference(fof_simplification,[status(thm)],[fc8_yellow_6])).
% 282.18/198.89 fof(i_0_875, plain, ![X1]:(((((((((((((((((~empty_carrier(boole_POSet(X1))&strict_rel_str(boole_POSet(X1)))&reflexive_relstr(boole_POSet(X1)))&transitive_relstr(boole_POSet(X1)))&antisymmetric_relstr(boole_POSet(X1)))&lower_bounded_relstr(boole_POSet(X1)))&upper_bounded_relstr(boole_POSet(X1)))&bounded_relstr(boole_POSet(X1)))&up_complete_relstr(boole_POSet(X1)))&join_complete_relstr(boole_POSet(X1)))&~v1_yellow_3(boole_POSet(X1)))&distributive_relstr(boole_POSet(X1)))&heyting_relstr(boole_POSet(X1)))&complemented_relstr(boole_POSet(X1)))&boolean_relstr(boole_POSet(X1)))&with_suprema_relstr(boole_POSet(X1)))&with_infima_relstr(boole_POSet(X1)))&complete_relstr(boole_POSet(X1))), inference(fof_simplification,[status(thm)],[fc1_waybel_7])).
% 282.18/198.89 fof(i_0_876, plain, ![X1]:((((((((((((((~empty_carrier(boole_POSet(X1))&strict_rel_str(boole_POSet(X1)))&reflexive_relstr(boole_POSet(X1)))&transitive_relstr(boole_POSet(X1)))&antisymmetric_relstr(boole_POSet(X1)))&with_suprema_relstr(boole_POSet(X1)))&with_infima_relstr(boole_POSet(X1)))&complete_relstr(boole_POSet(X1)))&lower_bounded_relstr(boole_POSet(X1)))&upper_bounded_relstr(boole_POSet(X1)))&bounded_relstr(boole_POSet(X1)))&up_complete_relstr(boole_POSet(X1)))&join_complete_relstr(boole_POSet(X1)))&distributive_relstr(boole_POSet(X1)))&complemented_relstr(boole_POSet(X1))), inference(fof_simplification,[status(thm)],[fc9_waybel_1])).
% 282.18/198.89 fof(i_0_877, plain, ![X1]:((((((((((~empty_carrier(boole_POSet(X1))&strict_rel_str(boole_POSet(X1)))&reflexive_relstr(boole_POSet(X1)))&transitive_relstr(boole_POSet(X1)))&antisymmetric_relstr(boole_POSet(X1)))&lower_bounded_relstr(boole_POSet(X1)))&upper_bounded_relstr(boole_POSet(X1)))&bounded_relstr(boole_POSet(X1)))&with_suprema_relstr(boole_POSet(X1)))&with_infima_relstr(boole_POSet(X1)))&complete_relstr(boole_POSet(X1))), inference(fof_simplification,[status(thm)],[fc8_yellow_1])).
% 282.18/198.89 fof(i_0_878, plain, ![X1]:((((~empty_carrier(boole_POSet(X1))&strict_rel_str(boole_POSet(X1)))&reflexive_relstr(boole_POSet(X1)))&transitive_relstr(boole_POSet(X1)))&antisymmetric_relstr(boole_POSet(X1))), inference(fof_simplification,[status(thm)],[fc7_yellow_1])).
% 282.18/198.89 fof(i_0_879, plain, ![X1]:(((((((((((((~empty_carrier(boole_POSet(X1))&strict_rel_str(boole_POSet(X1)))&reflexive_relstr(boole_POSet(X1)))&transitive_relstr(boole_POSet(X1)))&antisymmetric_relstr(boole_POSet(X1)))&with_suprema_relstr(boole_POSet(X1)))&with_infima_relstr(boole_POSet(X1)))&complete_relstr(boole_POSet(X1)))&lower_bounded_relstr(boole_POSet(X1)))&upper_bounded_relstr(boole_POSet(X1)))&bounded_relstr(boole_POSet(X1)))&up_complete_relstr(boole_POSet(X1)))&join_complete_relstr(boole_POSet(X1)))&distributive_relstr(boole_POSet(X1))), inference(fof_simplification,[status(thm)],[fc1_waybel_1])).
% 282.18/198.89 fof(i_0_880, plain, ![X3843, X3844, X3851, X3855, X3856, X3858, X3863, X3864, X3865, X3866, X3867, X3868]:((((((((in(esk295_4(X3843,X3844,X3856,X3858),cartesian_product2(X3843,X3856))|~in(X3858,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(esk295_4(X3843,X3844,X3856,X3858)=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(((ordered_pair(esk296_4(X3843,X3844,X3856,X3858),esk297_4(X3843,X3844,X3856,X3858))=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(in(esk296_4(X3843,X3844,X3856,X3858),X3843)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(((esk296_4(X3843,X3844,X3856,X3858)=esk298_4(X3843,X3844,X3856,X3858)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(in(esk297_4(X3843,X3844,X3856,X3858),esk298_4(X3843,X3844,X3856,X3858))|~in(X3858,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(~in(X3863,esk298_4(X3843,X3844,X3856,X3858))|in(ordered_pair(esk297_4(X3843,X3844,X3856,X3858),X3863),X3844)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))))&((in(esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868),X3868)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(~in(ordered_pair(X3867,esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868)),X3844)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))))&((((((in(esk295_4(X3843,X3844,X3856,X3858),cartesian_product2(X3843,X3856))|~in(X3858,esk294_3(X3843,X3844,X3856))|ordered_pair(esk288_2(X3843,X3844),esk289_2(X3843,X3844))=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(esk295_4(X3843,X3844,X3856,X3858)=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|ordered_pair(esk288_2(X3843,X3844),esk289_2(X3843,X3844))=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(((ordered_pair(esk296_4(X3843,X3844,X3856,X3858),esk297_4(X3843,X3844,X3856,X3858))=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|ordered_pair(esk288_2(X3843,X3844),esk289_2(X3843,X3844))=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(in(esk296_4(X3843,X3844,X3856,X3858),X3843)|~in(X3858,esk294_3(X3843,X3844,X3856))|ordered_pair(esk288_2(X3843,X3844),esk289_2(X3843,X3844))=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(((esk296_4(X3843,X3844,X3856,X3858)=esk298_4(X3843,X3844,X3856,X3858)|~in(X3858,esk294_3(X3843,X3844,X3856))|ordered_pair(esk288_2(X3843,X3844),esk289_2(X3843,X3844))=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(in(esk297_4(X3843,X3844,X3856,X3858),esk298_4(X3843,X3844,X3856,X3858))|~in(X3858,esk294_3(X3843,X3844,X3856))|ordered_pair(esk288_2(X3843,X3844),esk289_2(X3843,X3844))=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(~in(X3863,esk298_4(X3843,X3844,X3856,X3858))|in(ordered_pair(esk297_4(X3843,X3844,X3856,X3858),X3863),X3844)|~in(X3858,esk294_3(X3843,X3844,X3856))|ordered_pair(esk288_2(X3843,X3844),esk289_2(X3843,X3844))=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))))&((in(esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868),X3868)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|ordered_pair(esk288_2(X3843,X3844),esk289_2(X3843,X3844))=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(~in(ordered_pair(X3867,esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868)),X3844)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|ordered_pair(esk288_2(X3843,X3844),esk289_2(X3843,X3844))=esk286_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))))&((((in(esk295_4(X3843,X3844,X3856,X3858),cartesian_product2(X3843,X3856))|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk288_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844)))&(esk295_4(X3843,X3844,X3856,X3858)=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk288_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844))))&(((ordered_pair(esk296_4(X3843,X3844,X3856,X3858),esk297_4(X3843,X3844,X3856,X3858))=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk288_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844)))&(in(esk296_4(X3843,X3844,X3856,X3858),X3843)|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk288_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844))))&(((esk296_4(X3843,X3844,X3856,X3858)=esk298_4(X3843,X3844,X3856,X3858)|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk288_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844)))&(in(esk297_4(X3843,X3844,X3856,X3858),esk298_4(X3843,X3844,X3856,X3858))|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk288_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844))))&(~in(X3863,esk298_4(X3843,X3844,X3856,X3858))|in(ordered_pair(esk297_4(X3843,X3844,X3856,X3858),X3863),X3844)|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk288_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844))))))&((in(esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868),X3868)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|in(esk288_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844)))&(~in(ordered_pair(X3867,esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868)),X3844)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|in(esk288_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844))))))&((((((in(esk295_4(X3843,X3844,X3856,X3858),cartesian_product2(X3843,X3856))|~in(X3858,esk294_3(X3843,X3844,X3856))|esk288_2(X3843,X3844)=esk290_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(esk295_4(X3843,X3844,X3856,X3858)=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|esk288_2(X3843,X3844)=esk290_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(((ordered_pair(esk296_4(X3843,X3844,X3856,X3858),esk297_4(X3843,X3844,X3856,X3858))=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|esk288_2(X3843,X3844)=esk290_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(in(esk296_4(X3843,X3844,X3856,X3858),X3843)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk288_2(X3843,X3844)=esk290_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(((esk296_4(X3843,X3844,X3856,X3858)=esk298_4(X3843,X3844,X3856,X3858)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk288_2(X3843,X3844)=esk290_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(in(esk297_4(X3843,X3844,X3856,X3858),esk298_4(X3843,X3844,X3856,X3858))|~in(X3858,esk294_3(X3843,X3844,X3856))|esk288_2(X3843,X3844)=esk290_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(~in(X3863,esk298_4(X3843,X3844,X3856,X3858))|in(ordered_pair(esk297_4(X3843,X3844,X3856,X3858),X3863),X3844)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk288_2(X3843,X3844)=esk290_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))))&((in(esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868),X3868)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|esk288_2(X3843,X3844)=esk290_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(~in(ordered_pair(X3867,esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868)),X3844)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|esk288_2(X3843,X3844)=esk290_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))))&((((in(esk295_4(X3843,X3844,X3856,X3858),cartesian_product2(X3843,X3856))|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk289_2(X3843,X3844),esk290_2(X3843,X3844))|(empty(X3843)|~relation(X3844)))&(esk295_4(X3843,X3844,X3856,X3858)=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk289_2(X3843,X3844),esk290_2(X3843,X3844))|(empty(X3843)|~relation(X3844))))&(((ordered_pair(esk296_4(X3843,X3844,X3856,X3858),esk297_4(X3843,X3844,X3856,X3858))=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk289_2(X3843,X3844),esk290_2(X3843,X3844))|(empty(X3843)|~relation(X3844)))&(in(esk296_4(X3843,X3844,X3856,X3858),X3843)|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk289_2(X3843,X3844),esk290_2(X3843,X3844))|(empty(X3843)|~relation(X3844))))&(((esk296_4(X3843,X3844,X3856,X3858)=esk298_4(X3843,X3844,X3856,X3858)|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk289_2(X3843,X3844),esk290_2(X3843,X3844))|(empty(X3843)|~relation(X3844)))&(in(esk297_4(X3843,X3844,X3856,X3858),esk298_4(X3843,X3844,X3856,X3858))|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk289_2(X3843,X3844),esk290_2(X3843,X3844))|(empty(X3843)|~relation(X3844))))&(~in(X3863,esk298_4(X3843,X3844,X3856,X3858))|in(ordered_pair(esk297_4(X3843,X3844,X3856,X3858),X3863),X3844)|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk289_2(X3843,X3844),esk290_2(X3843,X3844))|(empty(X3843)|~relation(X3844))))))&((in(esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868),X3868)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|in(esk289_2(X3843,X3844),esk290_2(X3843,X3844))|(empty(X3843)|~relation(X3844)))&(~in(ordered_pair(X3867,esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868)),X3844)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|in(esk289_2(X3843,X3844),esk290_2(X3843,X3844))|(empty(X3843)|~relation(X3844))))))&((((in(esk295_4(X3843,X3844,X3856,X3858),cartesian_product2(X3843,X3856))|~in(X3858,esk294_3(X3843,X3844,X3856))|(~in(X3851,esk290_2(X3843,X3844))|in(ordered_pair(esk289_2(X3843,X3844),X3851),X3844))|(empty(X3843)|~relation(X3844)))&(esk295_4(X3843,X3844,X3856,X3858)=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|(~in(X3851,esk290_2(X3843,X3844))|in(ordered_pair(esk289_2(X3843,X3844),X3851),X3844))|(empty(X3843)|~relation(X3844))))&(((ordered_pair(esk296_4(X3843,X3844,X3856,X3858),esk297_4(X3843,X3844,X3856,X3858))=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|(~in(X3851,esk290_2(X3843,X3844))|in(ordered_pair(esk289_2(X3843,X3844),X3851),X3844))|(empty(X3843)|~relation(X3844)))&(in(esk296_4(X3843,X3844,X3856,X3858),X3843)|~in(X3858,esk294_3(X3843,X3844,X3856))|(~in(X3851,esk290_2(X3843,X3844))|in(ordered_pair(esk289_2(X3843,X3844),X3851),X3844))|(empty(X3843)|~relation(X3844))))&(((esk296_4(X3843,X3844,X3856,X3858)=esk298_4(X3843,X3844,X3856,X3858)|~in(X3858,esk294_3(X3843,X3844,X3856))|(~in(X3851,esk290_2(X3843,X3844))|in(ordered_pair(esk289_2(X3843,X3844),X3851),X3844))|(empty(X3843)|~relation(X3844)))&(in(esk297_4(X3843,X3844,X3856,X3858),esk298_4(X3843,X3844,X3856,X3858))|~in(X3858,esk294_3(X3843,X3844,X3856))|(~in(X3851,esk290_2(X3843,X3844))|in(ordered_pair(esk289_2(X3843,X3844),X3851),X3844))|(empty(X3843)|~relation(X3844))))&(~in(X3863,esk298_4(X3843,X3844,X3856,X3858))|in(ordered_pair(esk297_4(X3843,X3844,X3856,X3858),X3863),X3844)|~in(X3858,esk294_3(X3843,X3844,X3856))|(~in(X3851,esk290_2(X3843,X3844))|in(ordered_pair(esk289_2(X3843,X3844),X3851),X3844))|(empty(X3843)|~relation(X3844))))))&((in(esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868),X3868)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|(~in(X3851,esk290_2(X3843,X3844))|in(ordered_pair(esk289_2(X3843,X3844),X3851),X3844))|(empty(X3843)|~relation(X3844)))&(~in(ordered_pair(X3867,esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868)),X3844)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|(~in(X3851,esk290_2(X3843,X3844))|in(ordered_pair(esk289_2(X3843,X3844),X3851),X3844))|(empty(X3843)|~relation(X3844))))))))&((((in(esk295_4(X3843,X3844,X3856,X3858),cartesian_product2(X3843,X3856))|~in(X3858,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(esk295_4(X3843,X3844,X3856,X3858)=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(((ordered_pair(esk296_4(X3843,X3844,X3856,X3858),esk297_4(X3843,X3844,X3856,X3858))=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(in(esk296_4(X3843,X3844,X3856,X3858),X3843)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(((esk296_4(X3843,X3844,X3856,X3858)=esk298_4(X3843,X3844,X3856,X3858)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(in(esk297_4(X3843,X3844,X3856,X3858),esk298_4(X3843,X3844,X3856,X3858))|~in(X3858,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(~in(X3863,esk298_4(X3843,X3844,X3856,X3858))|in(ordered_pair(esk297_4(X3843,X3844,X3856,X3858),X3863),X3844)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))))&((in(esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868),X3868)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(~in(ordered_pair(X3867,esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868)),X3844)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|esk285_2(X3843,X3844)=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))))&((((((in(esk295_4(X3843,X3844,X3856,X3858),cartesian_product2(X3843,X3856))|~in(X3858,esk294_3(X3843,X3844,X3856))|ordered_pair(esk291_2(X3843,X3844),esk292_2(X3843,X3844))=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(esk295_4(X3843,X3844,X3856,X3858)=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|ordered_pair(esk291_2(X3843,X3844),esk292_2(X3843,X3844))=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(((ordered_pair(esk296_4(X3843,X3844,X3856,X3858),esk297_4(X3843,X3844,X3856,X3858))=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|ordered_pair(esk291_2(X3843,X3844),esk292_2(X3843,X3844))=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(in(esk296_4(X3843,X3844,X3856,X3858),X3843)|~in(X3858,esk294_3(X3843,X3844,X3856))|ordered_pair(esk291_2(X3843,X3844),esk292_2(X3843,X3844))=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(((esk296_4(X3843,X3844,X3856,X3858)=esk298_4(X3843,X3844,X3856,X3858)|~in(X3858,esk294_3(X3843,X3844,X3856))|ordered_pair(esk291_2(X3843,X3844),esk292_2(X3843,X3844))=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(in(esk297_4(X3843,X3844,X3856,X3858),esk298_4(X3843,X3844,X3856,X3858))|~in(X3858,esk294_3(X3843,X3844,X3856))|ordered_pair(esk291_2(X3843,X3844),esk292_2(X3843,X3844))=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(~in(X3863,esk298_4(X3843,X3844,X3856,X3858))|in(ordered_pair(esk297_4(X3843,X3844,X3856,X3858),X3863),X3844)|~in(X3858,esk294_3(X3843,X3844,X3856))|ordered_pair(esk291_2(X3843,X3844),esk292_2(X3843,X3844))=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))))&((in(esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868),X3868)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|ordered_pair(esk291_2(X3843,X3844),esk292_2(X3843,X3844))=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(~in(ordered_pair(X3867,esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868)),X3844)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|ordered_pair(esk291_2(X3843,X3844),esk292_2(X3843,X3844))=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))))&((((in(esk295_4(X3843,X3844,X3856,X3858),cartesian_product2(X3843,X3856))|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk291_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844)))&(esk295_4(X3843,X3844,X3856,X3858)=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk291_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844))))&(((ordered_pair(esk296_4(X3843,X3844,X3856,X3858),esk297_4(X3843,X3844,X3856,X3858))=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk291_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844)))&(in(esk296_4(X3843,X3844,X3856,X3858),X3843)|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk291_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844))))&(((esk296_4(X3843,X3844,X3856,X3858)=esk298_4(X3843,X3844,X3856,X3858)|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk291_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844)))&(in(esk297_4(X3843,X3844,X3856,X3858),esk298_4(X3843,X3844,X3856,X3858))|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk291_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844))))&(~in(X3863,esk298_4(X3843,X3844,X3856,X3858))|in(ordered_pair(esk297_4(X3843,X3844,X3856,X3858),X3863),X3844)|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk291_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844))))))&((in(esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868),X3868)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|in(esk291_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844)))&(~in(ordered_pair(X3867,esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868)),X3844)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|in(esk291_2(X3843,X3844),X3843)|(empty(X3843)|~relation(X3844))))))&((((((in(esk295_4(X3843,X3844,X3856,X3858),cartesian_product2(X3843,X3856))|~in(X3858,esk294_3(X3843,X3844,X3856))|esk291_2(X3843,X3844)=esk293_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(esk295_4(X3843,X3844,X3856,X3858)=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|esk291_2(X3843,X3844)=esk293_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(((ordered_pair(esk296_4(X3843,X3844,X3856,X3858),esk297_4(X3843,X3844,X3856,X3858))=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|esk291_2(X3843,X3844)=esk293_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(in(esk296_4(X3843,X3844,X3856,X3858),X3843)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk291_2(X3843,X3844)=esk293_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(((esk296_4(X3843,X3844,X3856,X3858)=esk298_4(X3843,X3844,X3856,X3858)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk291_2(X3843,X3844)=esk293_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(in(esk297_4(X3843,X3844,X3856,X3858),esk298_4(X3843,X3844,X3856,X3858))|~in(X3858,esk294_3(X3843,X3844,X3856))|esk291_2(X3843,X3844)=esk293_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(~in(X3863,esk298_4(X3843,X3844,X3856,X3858))|in(ordered_pair(esk297_4(X3843,X3844,X3856,X3858),X3863),X3844)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk291_2(X3843,X3844)=esk293_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))))&((in(esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868),X3868)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|esk291_2(X3843,X3844)=esk293_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(~in(ordered_pair(X3867,esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868)),X3844)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|esk291_2(X3843,X3844)=esk293_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))))&((((in(esk295_4(X3843,X3844,X3856,X3858),cartesian_product2(X3843,X3856))|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk292_2(X3843,X3844),esk293_2(X3843,X3844))|(empty(X3843)|~relation(X3844)))&(esk295_4(X3843,X3844,X3856,X3858)=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk292_2(X3843,X3844),esk293_2(X3843,X3844))|(empty(X3843)|~relation(X3844))))&(((ordered_pair(esk296_4(X3843,X3844,X3856,X3858),esk297_4(X3843,X3844,X3856,X3858))=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk292_2(X3843,X3844),esk293_2(X3843,X3844))|(empty(X3843)|~relation(X3844)))&(in(esk296_4(X3843,X3844,X3856,X3858),X3843)|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk292_2(X3843,X3844),esk293_2(X3843,X3844))|(empty(X3843)|~relation(X3844))))&(((esk296_4(X3843,X3844,X3856,X3858)=esk298_4(X3843,X3844,X3856,X3858)|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk292_2(X3843,X3844),esk293_2(X3843,X3844))|(empty(X3843)|~relation(X3844)))&(in(esk297_4(X3843,X3844,X3856,X3858),esk298_4(X3843,X3844,X3856,X3858))|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk292_2(X3843,X3844),esk293_2(X3843,X3844))|(empty(X3843)|~relation(X3844))))&(~in(X3863,esk298_4(X3843,X3844,X3856,X3858))|in(ordered_pair(esk297_4(X3843,X3844,X3856,X3858),X3863),X3844)|~in(X3858,esk294_3(X3843,X3844,X3856))|in(esk292_2(X3843,X3844),esk293_2(X3843,X3844))|(empty(X3843)|~relation(X3844))))))&((in(esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868),X3868)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|in(esk292_2(X3843,X3844),esk293_2(X3843,X3844))|(empty(X3843)|~relation(X3844)))&(~in(ordered_pair(X3867,esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868)),X3844)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|in(esk292_2(X3843,X3844),esk293_2(X3843,X3844))|(empty(X3843)|~relation(X3844))))))&((((in(esk295_4(X3843,X3844,X3856,X3858),cartesian_product2(X3843,X3856))|~in(X3858,esk294_3(X3843,X3844,X3856))|(~in(X3855,esk293_2(X3843,X3844))|in(ordered_pair(esk292_2(X3843,X3844),X3855),X3844))|(empty(X3843)|~relation(X3844)))&(esk295_4(X3843,X3844,X3856,X3858)=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|(~in(X3855,esk293_2(X3843,X3844))|in(ordered_pair(esk292_2(X3843,X3844),X3855),X3844))|(empty(X3843)|~relation(X3844))))&(((ordered_pair(esk296_4(X3843,X3844,X3856,X3858),esk297_4(X3843,X3844,X3856,X3858))=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|(~in(X3855,esk293_2(X3843,X3844))|in(ordered_pair(esk292_2(X3843,X3844),X3855),X3844))|(empty(X3843)|~relation(X3844)))&(in(esk296_4(X3843,X3844,X3856,X3858),X3843)|~in(X3858,esk294_3(X3843,X3844,X3856))|(~in(X3855,esk293_2(X3843,X3844))|in(ordered_pair(esk292_2(X3843,X3844),X3855),X3844))|(empty(X3843)|~relation(X3844))))&(((esk296_4(X3843,X3844,X3856,X3858)=esk298_4(X3843,X3844,X3856,X3858)|~in(X3858,esk294_3(X3843,X3844,X3856))|(~in(X3855,esk293_2(X3843,X3844))|in(ordered_pair(esk292_2(X3843,X3844),X3855),X3844))|(empty(X3843)|~relation(X3844)))&(in(esk297_4(X3843,X3844,X3856,X3858),esk298_4(X3843,X3844,X3856,X3858))|~in(X3858,esk294_3(X3843,X3844,X3856))|(~in(X3855,esk293_2(X3843,X3844))|in(ordered_pair(esk292_2(X3843,X3844),X3855),X3844))|(empty(X3843)|~relation(X3844))))&(~in(X3863,esk298_4(X3843,X3844,X3856,X3858))|in(ordered_pair(esk297_4(X3843,X3844,X3856,X3858),X3863),X3844)|~in(X3858,esk294_3(X3843,X3844,X3856))|(~in(X3855,esk293_2(X3843,X3844))|in(ordered_pair(esk292_2(X3843,X3844),X3855),X3844))|(empty(X3843)|~relation(X3844))))))&((in(esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868),X3868)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|(~in(X3855,esk293_2(X3843,X3844))|in(ordered_pair(esk292_2(X3843,X3844),X3855),X3844))|(empty(X3843)|~relation(X3844)))&(~in(ordered_pair(X3867,esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868)),X3844)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|(~in(X3855,esk293_2(X3843,X3844))|in(ordered_pair(esk292_2(X3843,X3844),X3855),X3844))|(empty(X3843)|~relation(X3844))))))))&((((in(esk295_4(X3843,X3844,X3856,X3858),cartesian_product2(X3843,X3856))|~in(X3858,esk294_3(X3843,X3844,X3856))|esk286_2(X3843,X3844)!=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(esk295_4(X3843,X3844,X3856,X3858)=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|esk286_2(X3843,X3844)!=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(((ordered_pair(esk296_4(X3843,X3844,X3856,X3858),esk297_4(X3843,X3844,X3856,X3858))=X3858|~in(X3858,esk294_3(X3843,X3844,X3856))|esk286_2(X3843,X3844)!=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(in(esk296_4(X3843,X3844,X3856,X3858),X3843)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk286_2(X3843,X3844)!=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(((esk296_4(X3843,X3844,X3856,X3858)=esk298_4(X3843,X3844,X3856,X3858)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk286_2(X3843,X3844)!=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(in(esk297_4(X3843,X3844,X3856,X3858),esk298_4(X3843,X3844,X3856,X3858))|~in(X3858,esk294_3(X3843,X3844,X3856))|esk286_2(X3843,X3844)!=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))&(~in(X3863,esk298_4(X3843,X3844,X3856,X3858))|in(ordered_pair(esk297_4(X3843,X3844,X3856,X3858),X3863),X3844)|~in(X3858,esk294_3(X3843,X3844,X3856))|esk286_2(X3843,X3844)!=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844))))))&((in(esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868),X3868)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|esk286_2(X3843,X3844)!=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))&(~in(ordered_pair(X3867,esk299_7(X3843,X3844,X3856,X3864,X3866,X3867,X3868)),X3844)|(X3866!=X3868|~in(X3867,X3868))|(ordered_pair(X3866,X3867)!=X3864|~in(X3866,X3843))|(~in(X3865,cartesian_product2(X3843,X3856))|X3865!=X3864)|in(X3864,esk294_3(X3843,X3844,X3856))|esk286_2(X3843,X3844)!=esk287_2(X3843,X3844)|(empty(X3843)|~relation(X3844)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_834])])])])])])).
% 282.18/198.89 cnf(i_0_881, plain, (ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1))), inference(split_conjunct,[status(thm)],[i_0_835])).
% 282.18/198.89 cnf(i_0_882, lemma, (unordered_pair(X1,X1)=singleton(X1)), inference(split_conjunct,[status(thm)],[i_0_836])).
% 282.18/198.89 fof(i_0_883, lemma, ![X4098, X4099, X4100, X4102, X4106, X4107, X4108, X4109, X4110]:(((in(X4102,cartesian_product2(X4098,X4100))|~in(X4102,esk422_3(X4098,X4099,X4100))|(empty(X4098)|~relation(X4099)))&(((ordered_pair(esk423_4(X4098,X4099,X4100,X4102),esk424_4(X4098,X4099,X4100,X4102))=X4102|~in(X4102,esk422_3(X4098,X4099,X4100))|(empty(X4098)|~relation(X4099)))&(in(esk423_4(X4098,X4099,X4100,X4102),X4098)|~in(X4102,esk422_3(X4098,X4099,X4100))|(empty(X4098)|~relation(X4099))))&(((esk423_4(X4098,X4099,X4100,X4102)=esk425_4(X4098,X4099,X4100,X4102)|~in(X4102,esk422_3(X4098,X4099,X4100))|(empty(X4098)|~relation(X4099)))&(in(esk424_4(X4098,X4099,X4100,X4102),esk425_4(X4098,X4099,X4100,X4102))|~in(X4102,esk422_3(X4098,X4099,X4100))|(empty(X4098)|~relation(X4099))))&(~in(X4106,esk425_4(X4098,X4099,X4100,X4102))|in(ordered_pair(esk424_4(X4098,X4099,X4100,X4102),X4106),X4099)|~in(X4102,esk422_3(X4098,X4099,X4100))|(empty(X4098)|~relation(X4099))))))&((in(esk426_7(X4098,X4099,X4100,X4107,X4108,X4109,X4110),X4110)|(X4108!=X4110|~in(X4109,X4110))|(ordered_pair(X4108,X4109)!=X4107|~in(X4108,X4098))|~in(X4107,cartesian_product2(X4098,X4100))|in(X4107,esk422_3(X4098,X4099,X4100))|(empty(X4098)|~relation(X4099)))&(~in(ordered_pair(X4109,esk426_7(X4098,X4099,X4100,X4107,X4108,X4109,X4110)),X4099)|(X4108!=X4110|~in(X4109,X4110))|(ordered_pair(X4108,X4109)!=X4107|~in(X4108,X4098))|~in(X4107,cartesian_product2(X4098,X4100))|in(X4107,esk422_3(X4098,X4099,X4100))|(empty(X4098)|~relation(X4099))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_837])])])])])])).
% 282.18/198.89 fof(i_0_884, plain, ![X3013, X3014, X3015, X3016, X3017, X3019, X3020, X3021, X3024]:((((in(ordered_pair(X3016,esk137_5(X3013,X3014,X3015,X3016,X3017)),X3013)|~in(ordered_pair(X3016,X3017),X3015)|X3015!=relation_composition(X3013,X3014)|~relation(X3015)|~relation(X3014)|~relation(X3013))&(in(ordered_pair(esk137_5(X3013,X3014,X3015,X3016,X3017),X3017),X3014)|~in(ordered_pair(X3016,X3017),X3015)|X3015!=relation_composition(X3013,X3014)|~relation(X3015)|~relation(X3014)|~relation(X3013)))&(~in(ordered_pair(X3019,X3021),X3013)|~in(ordered_pair(X3021,X3020),X3014)|in(ordered_pair(X3019,X3020),X3015)|X3015!=relation_composition(X3013,X3014)|~relation(X3015)|~relation(X3014)|~relation(X3013)))&((~in(ordered_pair(esk138_3(X3013,X3014,X3015),esk139_3(X3013,X3014,X3015)),X3015)|(~in(ordered_pair(esk138_3(X3013,X3014,X3015),X3024),X3013)|~in(ordered_pair(X3024,esk139_3(X3013,X3014,X3015)),X3014))|X3015=relation_composition(X3013,X3014)|~relation(X3015)|~relation(X3014)|~relation(X3013))&((in(ordered_pair(esk138_3(X3013,X3014,X3015),esk140_3(X3013,X3014,X3015)),X3013)|in(ordered_pair(esk138_3(X3013,X3014,X3015),esk139_3(X3013,X3014,X3015)),X3015)|X3015=relation_composition(X3013,X3014)|~relation(X3015)|~relation(X3014)|~relation(X3013))&(in(ordered_pair(esk140_3(X3013,X3014,X3015),esk139_3(X3013,X3014,X3015)),X3014)|in(ordered_pair(esk138_3(X3013,X3014,X3015),esk139_3(X3013,X3014,X3015)),X3015)|X3015=relation_composition(X3013,X3014)|~relation(X3015)|~relation(X3014)|~relation(X3013))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_relat_1])])])])])])).
% 282.18/198.89 fof(i_0_885, plain, ![X4045, X4046, X4047, X4056, X4060, X4061, X4062, X4063]:((((((((in(esk401_4(X4045,X4046,X4047,X4056),cartesian_product2(X4045,X4045))|~in(X4056,esk400_3(X4045,X4046,X4047))|esk393_3(X4045,X4046,X4047)=esk394_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047)))&(esk401_4(X4045,X4046,X4047,X4056)=X4056|~in(X4056,esk400_3(X4045,X4046,X4047))|esk393_3(X4045,X4046,X4047)=esk394_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047))))&((X4056=ordered_pair(esk402_4(X4045,X4046,X4047,X4056),esk403_4(X4045,X4046,X4047,X4056))|~in(X4056,esk400_3(X4045,X4046,X4047))|esk393_3(X4045,X4046,X4047)=esk394_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047)))&(in(ordered_pair(apply(X4047,esk402_4(X4045,X4046,X4047,X4056)),apply(X4047,esk403_4(X4045,X4046,X4047,X4056))),X4046)|~in(X4056,esk400_3(X4045,X4046,X4047))|esk393_3(X4045,X4046,X4047)=esk394_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047)))))&(~in(X4061,cartesian_product2(X4045,X4045))|X4061!=X4060|(X4060!=ordered_pair(X4062,X4063)|~in(ordered_pair(apply(X4047,X4062),apply(X4047,X4063)),X4046))|in(X4060,esk400_3(X4045,X4046,X4047))|esk393_3(X4045,X4046,X4047)=esk394_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047))))&(((((in(esk401_4(X4045,X4046,X4047,X4056),cartesian_product2(X4045,X4045))|~in(X4056,esk400_3(X4045,X4046,X4047))|esk394_3(X4045,X4046,X4047)=ordered_pair(esk396_3(X4045,X4046,X4047),esk397_3(X4045,X4046,X4047))|(~relation(X4046)|~relation(X4047)|~function(X4047)))&(esk401_4(X4045,X4046,X4047,X4056)=X4056|~in(X4056,esk400_3(X4045,X4046,X4047))|esk394_3(X4045,X4046,X4047)=ordered_pair(esk396_3(X4045,X4046,X4047),esk397_3(X4045,X4046,X4047))|(~relation(X4046)|~relation(X4047)|~function(X4047))))&((X4056=ordered_pair(esk402_4(X4045,X4046,X4047,X4056),esk403_4(X4045,X4046,X4047,X4056))|~in(X4056,esk400_3(X4045,X4046,X4047))|esk394_3(X4045,X4046,X4047)=ordered_pair(esk396_3(X4045,X4046,X4047),esk397_3(X4045,X4046,X4047))|(~relation(X4046)|~relation(X4047)|~function(X4047)))&(in(ordered_pair(apply(X4047,esk402_4(X4045,X4046,X4047,X4056)),apply(X4047,esk403_4(X4045,X4046,X4047,X4056))),X4046)|~in(X4056,esk400_3(X4045,X4046,X4047))|esk394_3(X4045,X4046,X4047)=ordered_pair(esk396_3(X4045,X4046,X4047),esk397_3(X4045,X4046,X4047))|(~relation(X4046)|~relation(X4047)|~function(X4047)))))&(~in(X4061,cartesian_product2(X4045,X4045))|X4061!=X4060|(X4060!=ordered_pair(X4062,X4063)|~in(ordered_pair(apply(X4047,X4062),apply(X4047,X4063)),X4046))|in(X4060,esk400_3(X4045,X4046,X4047))|esk394_3(X4045,X4046,X4047)=ordered_pair(esk396_3(X4045,X4046,X4047),esk397_3(X4045,X4046,X4047))|(~relation(X4046)|~relation(X4047)|~function(X4047))))&((((in(esk401_4(X4045,X4046,X4047,X4056),cartesian_product2(X4045,X4045))|~in(X4056,esk400_3(X4045,X4046,X4047))|in(ordered_pair(apply(X4047,esk396_3(X4045,X4046,X4047)),apply(X4047,esk397_3(X4045,X4046,X4047))),X4046)|(~relation(X4046)|~relation(X4047)|~function(X4047)))&(esk401_4(X4045,X4046,X4047,X4056)=X4056|~in(X4056,esk400_3(X4045,X4046,X4047))|in(ordered_pair(apply(X4047,esk396_3(X4045,X4046,X4047)),apply(X4047,esk397_3(X4045,X4046,X4047))),X4046)|(~relation(X4046)|~relation(X4047)|~function(X4047))))&((X4056=ordered_pair(esk402_4(X4045,X4046,X4047,X4056),esk403_4(X4045,X4046,X4047,X4056))|~in(X4056,esk400_3(X4045,X4046,X4047))|in(ordered_pair(apply(X4047,esk396_3(X4045,X4046,X4047)),apply(X4047,esk397_3(X4045,X4046,X4047))),X4046)|(~relation(X4046)|~relation(X4047)|~function(X4047)))&(in(ordered_pair(apply(X4047,esk402_4(X4045,X4046,X4047,X4056)),apply(X4047,esk403_4(X4045,X4046,X4047,X4056))),X4046)|~in(X4056,esk400_3(X4045,X4046,X4047))|in(ordered_pair(apply(X4047,esk396_3(X4045,X4046,X4047)),apply(X4047,esk397_3(X4045,X4046,X4047))),X4046)|(~relation(X4046)|~relation(X4047)|~function(X4047)))))&(~in(X4061,cartesian_product2(X4045,X4045))|X4061!=X4060|(X4060!=ordered_pair(X4062,X4063)|~in(ordered_pair(apply(X4047,X4062),apply(X4047,X4063)),X4046))|in(X4060,esk400_3(X4045,X4046,X4047))|in(ordered_pair(apply(X4047,esk396_3(X4045,X4046,X4047)),apply(X4047,esk397_3(X4045,X4046,X4047))),X4046)|(~relation(X4046)|~relation(X4047)|~function(X4047))))))&((((in(esk401_4(X4045,X4046,X4047,X4056),cartesian_product2(X4045,X4045))|~in(X4056,esk400_3(X4045,X4046,X4047))|esk393_3(X4045,X4046,X4047)=esk395_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047)))&(esk401_4(X4045,X4046,X4047,X4056)=X4056|~in(X4056,esk400_3(X4045,X4046,X4047))|esk393_3(X4045,X4046,X4047)=esk395_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047))))&((X4056=ordered_pair(esk402_4(X4045,X4046,X4047,X4056),esk403_4(X4045,X4046,X4047,X4056))|~in(X4056,esk400_3(X4045,X4046,X4047))|esk393_3(X4045,X4046,X4047)=esk395_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047)))&(in(ordered_pair(apply(X4047,esk402_4(X4045,X4046,X4047,X4056)),apply(X4047,esk403_4(X4045,X4046,X4047,X4056))),X4046)|~in(X4056,esk400_3(X4045,X4046,X4047))|esk393_3(X4045,X4046,X4047)=esk395_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047)))))&(~in(X4061,cartesian_product2(X4045,X4045))|X4061!=X4060|(X4060!=ordered_pair(X4062,X4063)|~in(ordered_pair(apply(X4047,X4062),apply(X4047,X4063)),X4046))|in(X4060,esk400_3(X4045,X4046,X4047))|esk393_3(X4045,X4046,X4047)=esk395_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047)))))&(((((in(esk401_4(X4045,X4046,X4047,X4056),cartesian_product2(X4045,X4045))|~in(X4056,esk400_3(X4045,X4046,X4047))|esk395_3(X4045,X4046,X4047)=ordered_pair(esk398_3(X4045,X4046,X4047),esk399_3(X4045,X4046,X4047))|(~relation(X4046)|~relation(X4047)|~function(X4047)))&(esk401_4(X4045,X4046,X4047,X4056)=X4056|~in(X4056,esk400_3(X4045,X4046,X4047))|esk395_3(X4045,X4046,X4047)=ordered_pair(esk398_3(X4045,X4046,X4047),esk399_3(X4045,X4046,X4047))|(~relation(X4046)|~relation(X4047)|~function(X4047))))&((X4056=ordered_pair(esk402_4(X4045,X4046,X4047,X4056),esk403_4(X4045,X4046,X4047,X4056))|~in(X4056,esk400_3(X4045,X4046,X4047))|esk395_3(X4045,X4046,X4047)=ordered_pair(esk398_3(X4045,X4046,X4047),esk399_3(X4045,X4046,X4047))|(~relation(X4046)|~relation(X4047)|~function(X4047)))&(in(ordered_pair(apply(X4047,esk402_4(X4045,X4046,X4047,X4056)),apply(X4047,esk403_4(X4045,X4046,X4047,X4056))),X4046)|~in(X4056,esk400_3(X4045,X4046,X4047))|esk395_3(X4045,X4046,X4047)=ordered_pair(esk398_3(X4045,X4046,X4047),esk399_3(X4045,X4046,X4047))|(~relation(X4046)|~relation(X4047)|~function(X4047)))))&(~in(X4061,cartesian_product2(X4045,X4045))|X4061!=X4060|(X4060!=ordered_pair(X4062,X4063)|~in(ordered_pair(apply(X4047,X4062),apply(X4047,X4063)),X4046))|in(X4060,esk400_3(X4045,X4046,X4047))|esk395_3(X4045,X4046,X4047)=ordered_pair(esk398_3(X4045,X4046,X4047),esk399_3(X4045,X4046,X4047))|(~relation(X4046)|~relation(X4047)|~function(X4047))))&((((in(esk401_4(X4045,X4046,X4047,X4056),cartesian_product2(X4045,X4045))|~in(X4056,esk400_3(X4045,X4046,X4047))|in(ordered_pair(apply(X4047,esk398_3(X4045,X4046,X4047)),apply(X4047,esk399_3(X4045,X4046,X4047))),X4046)|(~relation(X4046)|~relation(X4047)|~function(X4047)))&(esk401_4(X4045,X4046,X4047,X4056)=X4056|~in(X4056,esk400_3(X4045,X4046,X4047))|in(ordered_pair(apply(X4047,esk398_3(X4045,X4046,X4047)),apply(X4047,esk399_3(X4045,X4046,X4047))),X4046)|(~relation(X4046)|~relation(X4047)|~function(X4047))))&((X4056=ordered_pair(esk402_4(X4045,X4046,X4047,X4056),esk403_4(X4045,X4046,X4047,X4056))|~in(X4056,esk400_3(X4045,X4046,X4047))|in(ordered_pair(apply(X4047,esk398_3(X4045,X4046,X4047)),apply(X4047,esk399_3(X4045,X4046,X4047))),X4046)|(~relation(X4046)|~relation(X4047)|~function(X4047)))&(in(ordered_pair(apply(X4047,esk402_4(X4045,X4046,X4047,X4056)),apply(X4047,esk403_4(X4045,X4046,X4047,X4056))),X4046)|~in(X4056,esk400_3(X4045,X4046,X4047))|in(ordered_pair(apply(X4047,esk398_3(X4045,X4046,X4047)),apply(X4047,esk399_3(X4045,X4046,X4047))),X4046)|(~relation(X4046)|~relation(X4047)|~function(X4047)))))&(~in(X4061,cartesian_product2(X4045,X4045))|X4061!=X4060|(X4060!=ordered_pair(X4062,X4063)|~in(ordered_pair(apply(X4047,X4062),apply(X4047,X4063)),X4046))|in(X4060,esk400_3(X4045,X4046,X4047))|in(ordered_pair(apply(X4047,esk398_3(X4045,X4046,X4047)),apply(X4047,esk399_3(X4045,X4046,X4047))),X4046)|(~relation(X4046)|~relation(X4047)|~function(X4047))))))&((((in(esk401_4(X4045,X4046,X4047,X4056),cartesian_product2(X4045,X4045))|~in(X4056,esk400_3(X4045,X4046,X4047))|esk394_3(X4045,X4046,X4047)!=esk395_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047)))&(esk401_4(X4045,X4046,X4047,X4056)=X4056|~in(X4056,esk400_3(X4045,X4046,X4047))|esk394_3(X4045,X4046,X4047)!=esk395_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047))))&((X4056=ordered_pair(esk402_4(X4045,X4046,X4047,X4056),esk403_4(X4045,X4046,X4047,X4056))|~in(X4056,esk400_3(X4045,X4046,X4047))|esk394_3(X4045,X4046,X4047)!=esk395_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047)))&(in(ordered_pair(apply(X4047,esk402_4(X4045,X4046,X4047,X4056)),apply(X4047,esk403_4(X4045,X4046,X4047,X4056))),X4046)|~in(X4056,esk400_3(X4045,X4046,X4047))|esk394_3(X4045,X4046,X4047)!=esk395_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047)))))&(~in(X4061,cartesian_product2(X4045,X4045))|X4061!=X4060|(X4060!=ordered_pair(X4062,X4063)|~in(ordered_pair(apply(X4047,X4062),apply(X4047,X4063)),X4046))|in(X4060,esk400_3(X4045,X4046,X4047))|esk394_3(X4045,X4046,X4047)!=esk395_3(X4045,X4046,X4047)|(~relation(X4046)|~relation(X4047)|~function(X4047))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e6_21__wellord2__1])])])])])])).
% 282.18/198.89 fof(i_0_886, plain, ![X3985, X3986, X3992, X3995, X3996, X3998, X4002, X4003, X4004, X4005, X4006]:((((((((in(esk371_4(X3985,X3986,X3996,X3998),cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|~in(X3998,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(esk371_4(X3985,X3986,X3996,X3998)=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(((ordered_pair(esk372_4(X3985,X3986,X3996,X3998),esk373_4(X3985,X3986,X3996,X3998))=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(in(esk372_4(X3985,X3986,X3996,X3998),complements_of_subsets(the_carrier(X3985),X3986))|~in(X3998,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(~element(X4002,powerset(the_carrier(X3985)))|(X4002!=esk372_4(X3985,X3986,X3996,X3998)|esk373_4(X3985,X3986,X3996,X3998)=subset_complement(the_carrier(X3985),X4002))|~in(X3998,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))))&((element(esk374_6(X3985,X3986,X3996,X4003,X4005,X4006),powerset(the_carrier(X3985)))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&((esk374_6(X3985,X3986,X3996,X4003,X4005,X4006)=X4005|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(X4006!=subset_complement(the_carrier(X3985),esk374_6(X3985,X3986,X3996,X4003,X4005,X4006))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))))&((((((in(esk371_4(X3985,X3986,X3996,X3998),cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|~in(X3998,esk370_3(X3985,X3986,X3996))|ordered_pair(esk366_2(X3985,X3986),esk367_2(X3985,X3986))=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(esk371_4(X3985,X3986,X3996,X3998)=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|ordered_pair(esk366_2(X3985,X3986),esk367_2(X3985,X3986))=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(((ordered_pair(esk372_4(X3985,X3986,X3996,X3998),esk373_4(X3985,X3986,X3996,X3998))=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|ordered_pair(esk366_2(X3985,X3986),esk367_2(X3985,X3986))=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(in(esk372_4(X3985,X3986,X3996,X3998),complements_of_subsets(the_carrier(X3985),X3986))|~in(X3998,esk370_3(X3985,X3986,X3996))|ordered_pair(esk366_2(X3985,X3986),esk367_2(X3985,X3986))=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(~element(X4002,powerset(the_carrier(X3985)))|(X4002!=esk372_4(X3985,X3986,X3996,X3998)|esk373_4(X3985,X3986,X3996,X3998)=subset_complement(the_carrier(X3985),X4002))|~in(X3998,esk370_3(X3985,X3986,X3996))|ordered_pair(esk366_2(X3985,X3986),esk367_2(X3985,X3986))=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))))&((element(esk374_6(X3985,X3986,X3996,X4003,X4005,X4006),powerset(the_carrier(X3985)))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|ordered_pair(esk366_2(X3985,X3986),esk367_2(X3985,X3986))=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&((esk374_6(X3985,X3986,X3996,X4003,X4005,X4006)=X4005|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|ordered_pair(esk366_2(X3985,X3986),esk367_2(X3985,X3986))=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(X4006!=subset_complement(the_carrier(X3985),esk374_6(X3985,X3986,X3996,X4003,X4005,X4006))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|ordered_pair(esk366_2(X3985,X3986),esk367_2(X3985,X3986))=esk364_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))))&((((in(esk371_4(X3985,X3986,X3996,X3998),cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|~in(X3998,esk370_3(X3985,X3986,X3996))|in(esk366_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(esk371_4(X3985,X3986,X3996,X3998)=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|in(esk366_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(((ordered_pair(esk372_4(X3985,X3986,X3996,X3998),esk373_4(X3985,X3986,X3996,X3998))=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|in(esk366_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(in(esk372_4(X3985,X3986,X3996,X3998),complements_of_subsets(the_carrier(X3985),X3986))|~in(X3998,esk370_3(X3985,X3986,X3996))|in(esk366_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(~element(X4002,powerset(the_carrier(X3985)))|(X4002!=esk372_4(X3985,X3986,X3996,X3998)|esk373_4(X3985,X3986,X3996,X3998)=subset_complement(the_carrier(X3985),X4002))|~in(X3998,esk370_3(X3985,X3986,X3996))|in(esk366_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))))&((element(esk374_6(X3985,X3986,X3996,X4003,X4005,X4006),powerset(the_carrier(X3985)))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|in(esk366_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&((esk374_6(X3985,X3986,X3996,X4003,X4005,X4006)=X4005|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|in(esk366_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(X4006!=subset_complement(the_carrier(X3985),esk374_6(X3985,X3986,X3996,X4003,X4005,X4006))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|in(esk366_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))))))&((((in(esk371_4(X3985,X3986,X3996,X3998),cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|~in(X3998,esk370_3(X3985,X3986,X3996))|(~element(X3992,powerset(the_carrier(X3985)))|(X3992!=esk366_2(X3985,X3986)|esk367_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3992)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(esk371_4(X3985,X3986,X3996,X3998)=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|(~element(X3992,powerset(the_carrier(X3985)))|(X3992!=esk366_2(X3985,X3986)|esk367_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3992)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(((ordered_pair(esk372_4(X3985,X3986,X3996,X3998),esk373_4(X3985,X3986,X3996,X3998))=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|(~element(X3992,powerset(the_carrier(X3985)))|(X3992!=esk366_2(X3985,X3986)|esk367_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3992)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(in(esk372_4(X3985,X3986,X3996,X3998),complements_of_subsets(the_carrier(X3985),X3986))|~in(X3998,esk370_3(X3985,X3986,X3996))|(~element(X3992,powerset(the_carrier(X3985)))|(X3992!=esk366_2(X3985,X3986)|esk367_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3992)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(~element(X4002,powerset(the_carrier(X3985)))|(X4002!=esk372_4(X3985,X3986,X3996,X3998)|esk373_4(X3985,X3986,X3996,X3998)=subset_complement(the_carrier(X3985),X4002))|~in(X3998,esk370_3(X3985,X3986,X3996))|(~element(X3992,powerset(the_carrier(X3985)))|(X3992!=esk366_2(X3985,X3986)|esk367_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3992)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))))&((element(esk374_6(X3985,X3986,X3996,X4003,X4005,X4006),powerset(the_carrier(X3985)))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|(~element(X3992,powerset(the_carrier(X3985)))|(X3992!=esk366_2(X3985,X3986)|esk367_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3992)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&((esk374_6(X3985,X3986,X3996,X4003,X4005,X4006)=X4005|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|(~element(X3992,powerset(the_carrier(X3985)))|(X3992!=esk366_2(X3985,X3986)|esk367_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3992)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(X4006!=subset_complement(the_carrier(X3985),esk374_6(X3985,X3986,X3996,X4003,X4005,X4006))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|(~element(X3992,powerset(the_carrier(X3985)))|(X3992!=esk366_2(X3985,X3986)|esk367_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3992)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))))))&((((in(esk371_4(X3985,X3986,X3996,X3998),cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|~in(X3998,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(esk371_4(X3985,X3986,X3996,X3998)=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(((ordered_pair(esk372_4(X3985,X3986,X3996,X3998),esk373_4(X3985,X3986,X3996,X3998))=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(in(esk372_4(X3985,X3986,X3996,X3998),complements_of_subsets(the_carrier(X3985),X3986))|~in(X3998,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(~element(X4002,powerset(the_carrier(X3985)))|(X4002!=esk372_4(X3985,X3986,X3996,X3998)|esk373_4(X3985,X3986,X3996,X3998)=subset_complement(the_carrier(X3985),X4002))|~in(X3998,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))))&((element(esk374_6(X3985,X3986,X3996,X4003,X4005,X4006),powerset(the_carrier(X3985)))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&((esk374_6(X3985,X3986,X3996,X4003,X4005,X4006)=X4005|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(X4006!=subset_complement(the_carrier(X3985),esk374_6(X3985,X3986,X3996,X4003,X4005,X4006))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|esk363_2(X3985,X3986)=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))))))&((((((in(esk371_4(X3985,X3986,X3996,X3998),cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|~in(X3998,esk370_3(X3985,X3986,X3996))|ordered_pair(esk368_2(X3985,X3986),esk369_2(X3985,X3986))=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(esk371_4(X3985,X3986,X3996,X3998)=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|ordered_pair(esk368_2(X3985,X3986),esk369_2(X3985,X3986))=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(((ordered_pair(esk372_4(X3985,X3986,X3996,X3998),esk373_4(X3985,X3986,X3996,X3998))=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|ordered_pair(esk368_2(X3985,X3986),esk369_2(X3985,X3986))=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(in(esk372_4(X3985,X3986,X3996,X3998),complements_of_subsets(the_carrier(X3985),X3986))|~in(X3998,esk370_3(X3985,X3986,X3996))|ordered_pair(esk368_2(X3985,X3986),esk369_2(X3985,X3986))=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(~element(X4002,powerset(the_carrier(X3985)))|(X4002!=esk372_4(X3985,X3986,X3996,X3998)|esk373_4(X3985,X3986,X3996,X3998)=subset_complement(the_carrier(X3985),X4002))|~in(X3998,esk370_3(X3985,X3986,X3996))|ordered_pair(esk368_2(X3985,X3986),esk369_2(X3985,X3986))=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))))&((element(esk374_6(X3985,X3986,X3996,X4003,X4005,X4006),powerset(the_carrier(X3985)))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|ordered_pair(esk368_2(X3985,X3986),esk369_2(X3985,X3986))=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&((esk374_6(X3985,X3986,X3996,X4003,X4005,X4006)=X4005|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|ordered_pair(esk368_2(X3985,X3986),esk369_2(X3985,X3986))=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(X4006!=subset_complement(the_carrier(X3985),esk374_6(X3985,X3986,X3996,X4003,X4005,X4006))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|ordered_pair(esk368_2(X3985,X3986),esk369_2(X3985,X3986))=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))))&((((in(esk371_4(X3985,X3986,X3996,X3998),cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|~in(X3998,esk370_3(X3985,X3986,X3996))|in(esk368_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(esk371_4(X3985,X3986,X3996,X3998)=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|in(esk368_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(((ordered_pair(esk372_4(X3985,X3986,X3996,X3998),esk373_4(X3985,X3986,X3996,X3998))=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|in(esk368_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(in(esk372_4(X3985,X3986,X3996,X3998),complements_of_subsets(the_carrier(X3985),X3986))|~in(X3998,esk370_3(X3985,X3986,X3996))|in(esk368_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(~element(X4002,powerset(the_carrier(X3985)))|(X4002!=esk372_4(X3985,X3986,X3996,X3998)|esk373_4(X3985,X3986,X3996,X3998)=subset_complement(the_carrier(X3985),X4002))|~in(X3998,esk370_3(X3985,X3986,X3996))|in(esk368_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))))&((element(esk374_6(X3985,X3986,X3996,X4003,X4005,X4006),powerset(the_carrier(X3985)))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|in(esk368_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&((esk374_6(X3985,X3986,X3996,X4003,X4005,X4006)=X4005|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|in(esk368_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(X4006!=subset_complement(the_carrier(X3985),esk374_6(X3985,X3986,X3996,X4003,X4005,X4006))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|in(esk368_2(X3985,X3986),complements_of_subsets(the_carrier(X3985),X3986))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))))))&((((in(esk371_4(X3985,X3986,X3996,X3998),cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|~in(X3998,esk370_3(X3985,X3986,X3996))|(~element(X3995,powerset(the_carrier(X3985)))|(X3995!=esk368_2(X3985,X3986)|esk369_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3995)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(esk371_4(X3985,X3986,X3996,X3998)=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|(~element(X3995,powerset(the_carrier(X3985)))|(X3995!=esk368_2(X3985,X3986)|esk369_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3995)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(((ordered_pair(esk372_4(X3985,X3986,X3996,X3998),esk373_4(X3985,X3986,X3996,X3998))=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|(~element(X3995,powerset(the_carrier(X3985)))|(X3995!=esk368_2(X3985,X3986)|esk369_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3995)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(in(esk372_4(X3985,X3986,X3996,X3998),complements_of_subsets(the_carrier(X3985),X3986))|~in(X3998,esk370_3(X3985,X3986,X3996))|(~element(X3995,powerset(the_carrier(X3985)))|(X3995!=esk368_2(X3985,X3986)|esk369_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3995)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(~element(X4002,powerset(the_carrier(X3985)))|(X4002!=esk372_4(X3985,X3986,X3996,X3998)|esk373_4(X3985,X3986,X3996,X3998)=subset_complement(the_carrier(X3985),X4002))|~in(X3998,esk370_3(X3985,X3986,X3996))|(~element(X3995,powerset(the_carrier(X3985)))|(X3995!=esk368_2(X3985,X3986)|esk369_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3995)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))))&((element(esk374_6(X3985,X3986,X3996,X4003,X4005,X4006),powerset(the_carrier(X3985)))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|(~element(X3995,powerset(the_carrier(X3985)))|(X3995!=esk368_2(X3985,X3986)|esk369_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3995)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&((esk374_6(X3985,X3986,X3996,X4003,X4005,X4006)=X4005|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|(~element(X3995,powerset(the_carrier(X3985)))|(X3995!=esk368_2(X3985,X3986)|esk369_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3995)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(X4006!=subset_complement(the_carrier(X3985),esk374_6(X3985,X3986,X3996,X4003,X4005,X4006))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|(~element(X3995,powerset(the_carrier(X3985)))|(X3995!=esk368_2(X3985,X3986)|esk369_2(X3985,X3986)=subset_complement(the_carrier(X3985),X3995)))|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))))))&((((in(esk371_4(X3985,X3986,X3996,X3998),cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|~in(X3998,esk370_3(X3985,X3986,X3996))|esk364_2(X3985,X3986)!=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(esk371_4(X3985,X3986,X3996,X3998)=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|esk364_2(X3985,X3986)!=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(((ordered_pair(esk372_4(X3985,X3986,X3996,X3998),esk373_4(X3985,X3986,X3996,X3998))=X3998|~in(X3998,esk370_3(X3985,X3986,X3996))|esk364_2(X3985,X3986)!=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(in(esk372_4(X3985,X3986,X3996,X3998),complements_of_subsets(the_carrier(X3985),X3986))|~in(X3998,esk370_3(X3985,X3986,X3996))|esk364_2(X3985,X3986)!=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))&(~element(X4002,powerset(the_carrier(X3985)))|(X4002!=esk372_4(X3985,X3986,X3996,X3998)|esk373_4(X3985,X3986,X3996,X3998)=subset_complement(the_carrier(X3985),X4002))|~in(X3998,esk370_3(X3985,X3986,X3996))|esk364_2(X3985,X3986)!=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))))&((element(esk374_6(X3985,X3986,X3996,X4003,X4005,X4006),powerset(the_carrier(X3985)))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|esk364_2(X3985,X3986)!=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&((esk374_6(X3985,X3986,X3996,X4003,X4005,X4006)=X4005|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|esk364_2(X3985,X3986)!=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985))))))&(X4006!=subset_complement(the_carrier(X3985),esk374_6(X3985,X3986,X3996,X4003,X4005,X4006))|(ordered_pair(X4005,X4006)!=X4003|~in(X4005,complements_of_subsets(the_carrier(X3985),X3986)))|(~in(X4004,cartesian_product2(complements_of_subsets(the_carrier(X3985),X3986),X3996))|X4004!=X4003)|in(X4003,esk370_3(X3985,X3986,X3996))|esk364_2(X3985,X3986)!=esk365_2(X3985,X3986)|(~one_sorted_str(X3985)|~element(X3986,powerset(powerset(the_carrier(X3985)))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e4_7_1__tops_2__2])])])])])])).
% 282.18/198.89 fof(i_0_887, plain, ![X4022, X4023, X4029, X4032, X4033, X4035, X4039, X4040, X4041, X4042, X4043]:((((((((in(esk389_4(X4022,X4023,X4033,X4035),cartesian_product2(X4023,X4033))|~in(X4035,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(esk389_4(X4022,X4023,X4033,X4035)=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(((ordered_pair(esk390_4(X4022,X4023,X4033,X4035),esk391_4(X4022,X4023,X4033,X4035))=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(in(esk390_4(X4022,X4023,X4033,X4035),X4023)|~in(X4035,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(~element(X4039,powerset(the_carrier(X4022)))|(X4039!=esk390_4(X4022,X4023,X4033,X4035)|esk391_4(X4022,X4023,X4033,X4035)=subset_complement(the_carrier(X4022),X4039))|~in(X4035,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))))&((element(esk392_6(X4022,X4023,X4033,X4040,X4042,X4043),powerset(the_carrier(X4022)))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&((esk392_6(X4022,X4023,X4033,X4040,X4042,X4043)=X4042|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(X4043!=subset_complement(the_carrier(X4022),esk392_6(X4022,X4023,X4033,X4040,X4042,X4043))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))))&((((((in(esk389_4(X4022,X4023,X4033,X4035),cartesian_product2(X4023,X4033))|~in(X4035,esk388_3(X4022,X4023,X4033))|ordered_pair(esk384_2(X4022,X4023),esk385_2(X4022,X4023))=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(esk389_4(X4022,X4023,X4033,X4035)=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|ordered_pair(esk384_2(X4022,X4023),esk385_2(X4022,X4023))=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(((ordered_pair(esk390_4(X4022,X4023,X4033,X4035),esk391_4(X4022,X4023,X4033,X4035))=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|ordered_pair(esk384_2(X4022,X4023),esk385_2(X4022,X4023))=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(in(esk390_4(X4022,X4023,X4033,X4035),X4023)|~in(X4035,esk388_3(X4022,X4023,X4033))|ordered_pair(esk384_2(X4022,X4023),esk385_2(X4022,X4023))=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(~element(X4039,powerset(the_carrier(X4022)))|(X4039!=esk390_4(X4022,X4023,X4033,X4035)|esk391_4(X4022,X4023,X4033,X4035)=subset_complement(the_carrier(X4022),X4039))|~in(X4035,esk388_3(X4022,X4023,X4033))|ordered_pair(esk384_2(X4022,X4023),esk385_2(X4022,X4023))=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))))&((element(esk392_6(X4022,X4023,X4033,X4040,X4042,X4043),powerset(the_carrier(X4022)))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|ordered_pair(esk384_2(X4022,X4023),esk385_2(X4022,X4023))=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&((esk392_6(X4022,X4023,X4033,X4040,X4042,X4043)=X4042|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|ordered_pair(esk384_2(X4022,X4023),esk385_2(X4022,X4023))=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(X4043!=subset_complement(the_carrier(X4022),esk392_6(X4022,X4023,X4033,X4040,X4042,X4043))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|ordered_pair(esk384_2(X4022,X4023),esk385_2(X4022,X4023))=esk382_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))))&((((in(esk389_4(X4022,X4023,X4033,X4035),cartesian_product2(X4023,X4033))|~in(X4035,esk388_3(X4022,X4023,X4033))|in(esk384_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(esk389_4(X4022,X4023,X4033,X4035)=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|in(esk384_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(((ordered_pair(esk390_4(X4022,X4023,X4033,X4035),esk391_4(X4022,X4023,X4033,X4035))=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|in(esk384_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(in(esk390_4(X4022,X4023,X4033,X4035),X4023)|~in(X4035,esk388_3(X4022,X4023,X4033))|in(esk384_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(~element(X4039,powerset(the_carrier(X4022)))|(X4039!=esk390_4(X4022,X4023,X4033,X4035)|esk391_4(X4022,X4023,X4033,X4035)=subset_complement(the_carrier(X4022),X4039))|~in(X4035,esk388_3(X4022,X4023,X4033))|in(esk384_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))))&((element(esk392_6(X4022,X4023,X4033,X4040,X4042,X4043),powerset(the_carrier(X4022)))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|in(esk384_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&((esk392_6(X4022,X4023,X4033,X4040,X4042,X4043)=X4042|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|in(esk384_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(X4043!=subset_complement(the_carrier(X4022),esk392_6(X4022,X4023,X4033,X4040,X4042,X4043))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|in(esk384_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))))))&((((in(esk389_4(X4022,X4023,X4033,X4035),cartesian_product2(X4023,X4033))|~in(X4035,esk388_3(X4022,X4023,X4033))|(~element(X4029,powerset(the_carrier(X4022)))|(X4029!=esk384_2(X4022,X4023)|esk385_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4029)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(esk389_4(X4022,X4023,X4033,X4035)=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|(~element(X4029,powerset(the_carrier(X4022)))|(X4029!=esk384_2(X4022,X4023)|esk385_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4029)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(((ordered_pair(esk390_4(X4022,X4023,X4033,X4035),esk391_4(X4022,X4023,X4033,X4035))=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|(~element(X4029,powerset(the_carrier(X4022)))|(X4029!=esk384_2(X4022,X4023)|esk385_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4029)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(in(esk390_4(X4022,X4023,X4033,X4035),X4023)|~in(X4035,esk388_3(X4022,X4023,X4033))|(~element(X4029,powerset(the_carrier(X4022)))|(X4029!=esk384_2(X4022,X4023)|esk385_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4029)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(~element(X4039,powerset(the_carrier(X4022)))|(X4039!=esk390_4(X4022,X4023,X4033,X4035)|esk391_4(X4022,X4023,X4033,X4035)=subset_complement(the_carrier(X4022),X4039))|~in(X4035,esk388_3(X4022,X4023,X4033))|(~element(X4029,powerset(the_carrier(X4022)))|(X4029!=esk384_2(X4022,X4023)|esk385_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4029)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))))&((element(esk392_6(X4022,X4023,X4033,X4040,X4042,X4043),powerset(the_carrier(X4022)))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|(~element(X4029,powerset(the_carrier(X4022)))|(X4029!=esk384_2(X4022,X4023)|esk385_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4029)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&((esk392_6(X4022,X4023,X4033,X4040,X4042,X4043)=X4042|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|(~element(X4029,powerset(the_carrier(X4022)))|(X4029!=esk384_2(X4022,X4023)|esk385_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4029)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(X4043!=subset_complement(the_carrier(X4022),esk392_6(X4022,X4023,X4033,X4040,X4042,X4043))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|(~element(X4029,powerset(the_carrier(X4022)))|(X4029!=esk384_2(X4022,X4023)|esk385_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4029)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))))))&((((in(esk389_4(X4022,X4023,X4033,X4035),cartesian_product2(X4023,X4033))|~in(X4035,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(esk389_4(X4022,X4023,X4033,X4035)=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(((ordered_pair(esk390_4(X4022,X4023,X4033,X4035),esk391_4(X4022,X4023,X4033,X4035))=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(in(esk390_4(X4022,X4023,X4033,X4035),X4023)|~in(X4035,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(~element(X4039,powerset(the_carrier(X4022)))|(X4039!=esk390_4(X4022,X4023,X4033,X4035)|esk391_4(X4022,X4023,X4033,X4035)=subset_complement(the_carrier(X4022),X4039))|~in(X4035,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))))&((element(esk392_6(X4022,X4023,X4033,X4040,X4042,X4043),powerset(the_carrier(X4022)))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&((esk392_6(X4022,X4023,X4033,X4040,X4042,X4043)=X4042|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(X4043!=subset_complement(the_carrier(X4022),esk392_6(X4022,X4023,X4033,X4040,X4042,X4043))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|esk381_2(X4022,X4023)=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))))))&((((((in(esk389_4(X4022,X4023,X4033,X4035),cartesian_product2(X4023,X4033))|~in(X4035,esk388_3(X4022,X4023,X4033))|ordered_pair(esk386_2(X4022,X4023),esk387_2(X4022,X4023))=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(esk389_4(X4022,X4023,X4033,X4035)=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|ordered_pair(esk386_2(X4022,X4023),esk387_2(X4022,X4023))=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(((ordered_pair(esk390_4(X4022,X4023,X4033,X4035),esk391_4(X4022,X4023,X4033,X4035))=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|ordered_pair(esk386_2(X4022,X4023),esk387_2(X4022,X4023))=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(in(esk390_4(X4022,X4023,X4033,X4035),X4023)|~in(X4035,esk388_3(X4022,X4023,X4033))|ordered_pair(esk386_2(X4022,X4023),esk387_2(X4022,X4023))=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(~element(X4039,powerset(the_carrier(X4022)))|(X4039!=esk390_4(X4022,X4023,X4033,X4035)|esk391_4(X4022,X4023,X4033,X4035)=subset_complement(the_carrier(X4022),X4039))|~in(X4035,esk388_3(X4022,X4023,X4033))|ordered_pair(esk386_2(X4022,X4023),esk387_2(X4022,X4023))=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))))&((element(esk392_6(X4022,X4023,X4033,X4040,X4042,X4043),powerset(the_carrier(X4022)))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|ordered_pair(esk386_2(X4022,X4023),esk387_2(X4022,X4023))=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&((esk392_6(X4022,X4023,X4033,X4040,X4042,X4043)=X4042|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|ordered_pair(esk386_2(X4022,X4023),esk387_2(X4022,X4023))=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(X4043!=subset_complement(the_carrier(X4022),esk392_6(X4022,X4023,X4033,X4040,X4042,X4043))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|ordered_pair(esk386_2(X4022,X4023),esk387_2(X4022,X4023))=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))))&((((in(esk389_4(X4022,X4023,X4033,X4035),cartesian_product2(X4023,X4033))|~in(X4035,esk388_3(X4022,X4023,X4033))|in(esk386_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(esk389_4(X4022,X4023,X4033,X4035)=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|in(esk386_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(((ordered_pair(esk390_4(X4022,X4023,X4033,X4035),esk391_4(X4022,X4023,X4033,X4035))=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|in(esk386_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(in(esk390_4(X4022,X4023,X4033,X4035),X4023)|~in(X4035,esk388_3(X4022,X4023,X4033))|in(esk386_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(~element(X4039,powerset(the_carrier(X4022)))|(X4039!=esk390_4(X4022,X4023,X4033,X4035)|esk391_4(X4022,X4023,X4033,X4035)=subset_complement(the_carrier(X4022),X4039))|~in(X4035,esk388_3(X4022,X4023,X4033))|in(esk386_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))))&((element(esk392_6(X4022,X4023,X4033,X4040,X4042,X4043),powerset(the_carrier(X4022)))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|in(esk386_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&((esk392_6(X4022,X4023,X4033,X4040,X4042,X4043)=X4042|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|in(esk386_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(X4043!=subset_complement(the_carrier(X4022),esk392_6(X4022,X4023,X4033,X4040,X4042,X4043))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|in(esk386_2(X4022,X4023),X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))))))&((((in(esk389_4(X4022,X4023,X4033,X4035),cartesian_product2(X4023,X4033))|~in(X4035,esk388_3(X4022,X4023,X4033))|(~element(X4032,powerset(the_carrier(X4022)))|(X4032!=esk386_2(X4022,X4023)|esk387_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4032)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(esk389_4(X4022,X4023,X4033,X4035)=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|(~element(X4032,powerset(the_carrier(X4022)))|(X4032!=esk386_2(X4022,X4023)|esk387_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4032)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(((ordered_pair(esk390_4(X4022,X4023,X4033,X4035),esk391_4(X4022,X4023,X4033,X4035))=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|(~element(X4032,powerset(the_carrier(X4022)))|(X4032!=esk386_2(X4022,X4023)|esk387_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4032)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(in(esk390_4(X4022,X4023,X4033,X4035),X4023)|~in(X4035,esk388_3(X4022,X4023,X4033))|(~element(X4032,powerset(the_carrier(X4022)))|(X4032!=esk386_2(X4022,X4023)|esk387_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4032)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(~element(X4039,powerset(the_carrier(X4022)))|(X4039!=esk390_4(X4022,X4023,X4033,X4035)|esk391_4(X4022,X4023,X4033,X4035)=subset_complement(the_carrier(X4022),X4039))|~in(X4035,esk388_3(X4022,X4023,X4033))|(~element(X4032,powerset(the_carrier(X4022)))|(X4032!=esk386_2(X4022,X4023)|esk387_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4032)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))))&((element(esk392_6(X4022,X4023,X4033,X4040,X4042,X4043),powerset(the_carrier(X4022)))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|(~element(X4032,powerset(the_carrier(X4022)))|(X4032!=esk386_2(X4022,X4023)|esk387_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4032)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&((esk392_6(X4022,X4023,X4033,X4040,X4042,X4043)=X4042|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|(~element(X4032,powerset(the_carrier(X4022)))|(X4032!=esk386_2(X4022,X4023)|esk387_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4032)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(X4043!=subset_complement(the_carrier(X4022),esk392_6(X4022,X4023,X4033,X4040,X4042,X4043))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|(~element(X4032,powerset(the_carrier(X4022)))|(X4032!=esk386_2(X4022,X4023)|esk387_2(X4022,X4023)=subset_complement(the_carrier(X4022),X4032)))|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))))))&((((in(esk389_4(X4022,X4023,X4033,X4035),cartesian_product2(X4023,X4033))|~in(X4035,esk388_3(X4022,X4023,X4033))|esk382_2(X4022,X4023)!=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(esk389_4(X4022,X4023,X4033,X4035)=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|esk382_2(X4022,X4023)!=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(((ordered_pair(esk390_4(X4022,X4023,X4033,X4035),esk391_4(X4022,X4023,X4033,X4035))=X4035|~in(X4035,esk388_3(X4022,X4023,X4033))|esk382_2(X4022,X4023)!=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(in(esk390_4(X4022,X4023,X4033,X4035),X4023)|~in(X4035,esk388_3(X4022,X4023,X4033))|esk382_2(X4022,X4023)!=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))&(~element(X4039,powerset(the_carrier(X4022)))|(X4039!=esk390_4(X4022,X4023,X4033,X4035)|esk391_4(X4022,X4023,X4033,X4035)=subset_complement(the_carrier(X4022),X4039))|~in(X4035,esk388_3(X4022,X4023,X4033))|esk382_2(X4022,X4023)!=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))))&((element(esk392_6(X4022,X4023,X4033,X4040,X4042,X4043),powerset(the_carrier(X4022)))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|esk382_2(X4022,X4023)!=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&((esk392_6(X4022,X4023,X4033,X4040,X4042,X4043)=X4042|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|esk382_2(X4022,X4023)!=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022))))))&(X4043!=subset_complement(the_carrier(X4022),esk392_6(X4022,X4023,X4033,X4040,X4042,X4043))|(ordered_pair(X4042,X4043)!=X4040|~in(X4042,X4023))|(~in(X4041,cartesian_product2(X4023,X4033))|X4041!=X4040)|in(X4040,esk388_3(X4022,X4023,X4033))|esk382_2(X4022,X4023)!=esk383_2(X4022,X4023)|(~one_sorted_str(X4022)|~element(X4023,powerset(powerset(the_carrier(X4022)))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e4_7_2__tops_2__2])])])])])])).
% 282.18/198.89 fof(i_0_888, lemma, ![X4162, X4163, X4164, X4166, X4169, X4170, X4171, X4172]:(((in(X4166,cartesian_product2(complements_of_subsets(the_carrier(X4162),X4163),X4164))|~in(X4166,esk443_3(X4162,X4163,X4164))|(~one_sorted_str(X4162)|~element(X4163,powerset(powerset(the_carrier(X4162))))))&(((ordered_pair(esk444_4(X4162,X4163,X4164,X4166),esk445_4(X4162,X4163,X4164,X4166))=X4166|~in(X4166,esk443_3(X4162,X4163,X4164))|(~one_sorted_str(X4162)|~element(X4163,powerset(powerset(the_carrier(X4162))))))&(in(esk444_4(X4162,X4163,X4164,X4166),complements_of_subsets(the_carrier(X4162),X4163))|~in(X4166,esk443_3(X4162,X4163,X4164))|(~one_sorted_str(X4162)|~element(X4163,powerset(powerset(the_carrier(X4162)))))))&(~element(X4169,powerset(the_carrier(X4162)))|(X4169!=esk444_4(X4162,X4163,X4164,X4166)|esk445_4(X4162,X4163,X4164,X4166)=subset_complement(the_carrier(X4162),X4169))|~in(X4166,esk443_3(X4162,X4163,X4164))|(~one_sorted_str(X4162)|~element(X4163,powerset(powerset(the_carrier(X4162))))))))&((element(esk446_6(X4162,X4163,X4164,X4170,X4171,X4172),powerset(the_carrier(X4162)))|(ordered_pair(X4171,X4172)!=X4170|~in(X4171,complements_of_subsets(the_carrier(X4162),X4163)))|~in(X4170,cartesian_product2(complements_of_subsets(the_carrier(X4162),X4163),X4164))|in(X4170,esk443_3(X4162,X4163,X4164))|(~one_sorted_str(X4162)|~element(X4163,powerset(powerset(the_carrier(X4162))))))&((esk446_6(X4162,X4163,X4164,X4170,X4171,X4172)=X4171|(ordered_pair(X4171,X4172)!=X4170|~in(X4171,complements_of_subsets(the_carrier(X4162),X4163)))|~in(X4170,cartesian_product2(complements_of_subsets(the_carrier(X4162),X4163),X4164))|in(X4170,esk443_3(X4162,X4163,X4164))|(~one_sorted_str(X4162)|~element(X4163,powerset(powerset(the_carrier(X4162))))))&(X4172!=subset_complement(the_carrier(X4162),esk446_6(X4162,X4163,X4164,X4170,X4171,X4172))|(ordered_pair(X4171,X4172)!=X4170|~in(X4171,complements_of_subsets(the_carrier(X4162),X4163)))|~in(X4170,cartesian_product2(complements_of_subsets(the_carrier(X4162),X4163),X4164))|in(X4170,esk443_3(X4162,X4163,X4164))|(~one_sorted_str(X4162)|~element(X4163,powerset(powerset(the_carrier(X4162))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_xboole_0__e4_7_1__tops_2__1])])])])])])).
% 282.18/198.89 fof(i_0_889, lemma, ![X4174, X4175, X4176, X4178, X4181, X4182, X4183, X4184]:(((in(X4178,cartesian_product2(X4175,X4176))|~in(X4178,esk447_3(X4174,X4175,X4176))|(~one_sorted_str(X4174)|~element(X4175,powerset(powerset(the_carrier(X4174))))))&(((ordered_pair(esk448_4(X4174,X4175,X4176,X4178),esk449_4(X4174,X4175,X4176,X4178))=X4178|~in(X4178,esk447_3(X4174,X4175,X4176))|(~one_sorted_str(X4174)|~element(X4175,powerset(powerset(the_carrier(X4174))))))&(in(esk448_4(X4174,X4175,X4176,X4178),X4175)|~in(X4178,esk447_3(X4174,X4175,X4176))|(~one_sorted_str(X4174)|~element(X4175,powerset(powerset(the_carrier(X4174)))))))&(~element(X4181,powerset(the_carrier(X4174)))|(X4181!=esk448_4(X4174,X4175,X4176,X4178)|esk449_4(X4174,X4175,X4176,X4178)=subset_complement(the_carrier(X4174),X4181))|~in(X4178,esk447_3(X4174,X4175,X4176))|(~one_sorted_str(X4174)|~element(X4175,powerset(powerset(the_carrier(X4174))))))))&((element(esk450_6(X4174,X4175,X4176,X4182,X4183,X4184),powerset(the_carrier(X4174)))|(ordered_pair(X4183,X4184)!=X4182|~in(X4183,X4175))|~in(X4182,cartesian_product2(X4175,X4176))|in(X4182,esk447_3(X4174,X4175,X4176))|(~one_sorted_str(X4174)|~element(X4175,powerset(powerset(the_carrier(X4174))))))&((esk450_6(X4174,X4175,X4176,X4182,X4183,X4184)=X4183|(ordered_pair(X4183,X4184)!=X4182|~in(X4183,X4175))|~in(X4182,cartesian_product2(X4175,X4176))|in(X4182,esk447_3(X4174,X4175,X4176))|(~one_sorted_str(X4174)|~element(X4175,powerset(powerset(the_carrier(X4174))))))&(X4184!=subset_complement(the_carrier(X4174),esk450_6(X4174,X4175,X4176,X4182,X4183,X4184))|(ordered_pair(X4183,X4184)!=X4182|~in(X4183,X4175))|~in(X4182,cartesian_product2(X4175,X4176))|in(X4182,esk447_3(X4174,X4175,X4176))|(~one_sorted_str(X4174)|~element(X4175,powerset(powerset(the_carrier(X4174))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_xboole_0__e4_7_2__tops_2__1])])])])])])).
% 282.18/198.89 fof(i_0_890, lemma, ![X4186, X4187, X4188, X4190, X4193, X4194, X4195]:(((in(X4190,cartesian_product2(X4186,X4186))|~in(X4190,esk451_3(X4186,X4187,X4188))|(~relation(X4187)|~relation(X4188)|~function(X4188)))&((X4190=ordered_pair(esk452_4(X4186,X4187,X4188,X4190),esk453_4(X4186,X4187,X4188,X4190))|~in(X4190,esk451_3(X4186,X4187,X4188))|(~relation(X4187)|~relation(X4188)|~function(X4188)))&(in(ordered_pair(apply(X4188,esk452_4(X4186,X4187,X4188,X4190)),apply(X4188,esk453_4(X4186,X4187,X4188,X4190))),X4187)|~in(X4190,esk451_3(X4186,X4187,X4188))|(~relation(X4187)|~relation(X4188)|~function(X4188)))))&(~in(X4193,cartesian_product2(X4186,X4186))|(X4193!=ordered_pair(X4194,X4195)|~in(ordered_pair(apply(X4188,X4194),apply(X4188,X4195)),X4187))|in(X4193,esk451_3(X4186,X4187,X4188))|(~relation(X4187)|~relation(X4188)|~function(X4188)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_xboole_0__e6_21__wellord2__1])])])])])])).
% 282.18/198.89 fof(i_0_891, lemma, ![X3746, X3747, X3752, X3754, X3756, X3757, X3759, X3760, X3761, X3762]:(((((((relation(esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747)))&(function(esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747))))&(((in(X3756,X3746)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747)))&(((X3756=esk253_4(X3746,X3747,X3756,X3757)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747)))&(in(X3757,esk253_4(X3746,X3747,X3756,X3757))|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747))))&(~in(X3759,esk253_4(X3746,X3747,X3756,X3757))|in(ordered_pair(X3757,X3759),X3747)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747)))))&((in(esk254_5(X3746,X3747,X3760,X3761,X3762),X3762)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747)))&(~in(ordered_pair(X3761,esk254_5(X3746,X3747,X3760,X3761,X3762)),X3747)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747))))))&(((((relation(esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk250_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))&(function(esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk250_2(X3746,X3747)|(empty(X3746)|~relation(X3747))))&(((in(X3756,X3746)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk250_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))&(((X3756=esk253_4(X3746,X3747,X3756,X3757)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk250_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))&(in(X3757,esk253_4(X3746,X3747,X3756,X3757))|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk250_2(X3746,X3747)|(empty(X3746)|~relation(X3747))))&(~in(X3759,esk253_4(X3746,X3747,X3756,X3757))|in(ordered_pair(X3757,X3759),X3747)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk250_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))))&((in(esk254_5(X3746,X3747,X3760,X3761,X3762),X3762)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk250_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))&(~in(ordered_pair(X3761,esk254_5(X3746,X3747,X3760,X3761,X3762)),X3747)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk250_2(X3746,X3747)|(empty(X3746)|~relation(X3747))))))&(((relation(esk252_2(X3746,X3747))|in(esk248_2(X3746,X3747),esk250_2(X3746,X3747))|(empty(X3746)|~relation(X3747)))&(function(esk252_2(X3746,X3747))|in(esk248_2(X3746,X3747),esk250_2(X3746,X3747))|(empty(X3746)|~relation(X3747))))&(((in(X3756,X3746)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk248_2(X3746,X3747),esk250_2(X3746,X3747))|(empty(X3746)|~relation(X3747)))&(((X3756=esk253_4(X3746,X3747,X3756,X3757)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk248_2(X3746,X3747),esk250_2(X3746,X3747))|(empty(X3746)|~relation(X3747)))&(in(X3757,esk253_4(X3746,X3747,X3756,X3757))|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk248_2(X3746,X3747),esk250_2(X3746,X3747))|(empty(X3746)|~relation(X3747))))&(~in(X3759,esk253_4(X3746,X3747,X3756,X3757))|in(ordered_pair(X3757,X3759),X3747)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk248_2(X3746,X3747),esk250_2(X3746,X3747))|(empty(X3746)|~relation(X3747)))))&((in(esk254_5(X3746,X3747,X3760,X3761,X3762),X3762)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|in(esk248_2(X3746,X3747),esk250_2(X3746,X3747))|(empty(X3746)|~relation(X3747)))&(~in(ordered_pair(X3761,esk254_5(X3746,X3747,X3760,X3761,X3762)),X3747)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|in(esk248_2(X3746,X3747),esk250_2(X3746,X3747))|(empty(X3746)|~relation(X3747)))))))&(((relation(esk252_2(X3746,X3747))|(~in(X3752,esk250_2(X3746,X3747))|in(ordered_pair(esk248_2(X3746,X3747),X3752),X3747))|(empty(X3746)|~relation(X3747)))&(function(esk252_2(X3746,X3747))|(~in(X3752,esk250_2(X3746,X3747))|in(ordered_pair(esk248_2(X3746,X3747),X3752),X3747))|(empty(X3746)|~relation(X3747))))&(((in(X3756,X3746)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|(~in(X3752,esk250_2(X3746,X3747))|in(ordered_pair(esk248_2(X3746,X3747),X3752),X3747))|(empty(X3746)|~relation(X3747)))&(((X3756=esk253_4(X3746,X3747,X3756,X3757)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|(~in(X3752,esk250_2(X3746,X3747))|in(ordered_pair(esk248_2(X3746,X3747),X3752),X3747))|(empty(X3746)|~relation(X3747)))&(in(X3757,esk253_4(X3746,X3747,X3756,X3757))|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|(~in(X3752,esk250_2(X3746,X3747))|in(ordered_pair(esk248_2(X3746,X3747),X3752),X3747))|(empty(X3746)|~relation(X3747))))&(~in(X3759,esk253_4(X3746,X3747,X3756,X3757))|in(ordered_pair(X3757,X3759),X3747)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|(~in(X3752,esk250_2(X3746,X3747))|in(ordered_pair(esk248_2(X3746,X3747),X3752),X3747))|(empty(X3746)|~relation(X3747)))))&((in(esk254_5(X3746,X3747,X3760,X3761,X3762),X3762)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|(~in(X3752,esk250_2(X3746,X3747))|in(ordered_pair(esk248_2(X3746,X3747),X3752),X3747))|(empty(X3746)|~relation(X3747)))&(~in(ordered_pair(X3761,esk254_5(X3746,X3747,X3760,X3761,X3762)),X3747)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|(~in(X3752,esk250_2(X3746,X3747))|in(ordered_pair(esk248_2(X3746,X3747),X3752),X3747))|(empty(X3746)|~relation(X3747))))))))&(((relation(esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747)))&(function(esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747))))&(((in(X3756,X3746)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747)))&(((X3756=esk253_4(X3746,X3747,X3756,X3757)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747)))&(in(X3757,esk253_4(X3746,X3747,X3756,X3757))|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747))))&(~in(X3759,esk253_4(X3746,X3747,X3756,X3757))|in(ordered_pair(X3757,X3759),X3747)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747)))))&((in(esk254_5(X3746,X3747,X3760,X3761,X3762),X3762)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747)))&(~in(ordered_pair(X3761,esk254_5(X3746,X3747,X3760,X3761,X3762)),X3747)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|in(esk247_2(X3746,X3747),X3746)|(empty(X3746)|~relation(X3747)))))))&(((((relation(esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk251_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))&(function(esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk251_2(X3746,X3747)|(empty(X3746)|~relation(X3747))))&(((in(X3756,X3746)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk251_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))&(((X3756=esk253_4(X3746,X3747,X3756,X3757)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk251_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))&(in(X3757,esk253_4(X3746,X3747,X3756,X3757))|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk251_2(X3746,X3747)|(empty(X3746)|~relation(X3747))))&(~in(X3759,esk253_4(X3746,X3747,X3756,X3757))|in(ordered_pair(X3757,X3759),X3747)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk251_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))))&((in(esk254_5(X3746,X3747,X3760,X3761,X3762),X3762)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk251_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))&(~in(ordered_pair(X3761,esk254_5(X3746,X3747,X3760,X3761,X3762)),X3747)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|esk247_2(X3746,X3747)=esk251_2(X3746,X3747)|(empty(X3746)|~relation(X3747))))))&(((relation(esk252_2(X3746,X3747))|in(esk249_2(X3746,X3747),esk251_2(X3746,X3747))|(empty(X3746)|~relation(X3747)))&(function(esk252_2(X3746,X3747))|in(esk249_2(X3746,X3747),esk251_2(X3746,X3747))|(empty(X3746)|~relation(X3747))))&(((in(X3756,X3746)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk249_2(X3746,X3747),esk251_2(X3746,X3747))|(empty(X3746)|~relation(X3747)))&(((X3756=esk253_4(X3746,X3747,X3756,X3757)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk249_2(X3746,X3747),esk251_2(X3746,X3747))|(empty(X3746)|~relation(X3747)))&(in(X3757,esk253_4(X3746,X3747,X3756,X3757))|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk249_2(X3746,X3747),esk251_2(X3746,X3747))|(empty(X3746)|~relation(X3747))))&(~in(X3759,esk253_4(X3746,X3747,X3756,X3757))|in(ordered_pair(X3757,X3759),X3747)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|in(esk249_2(X3746,X3747),esk251_2(X3746,X3747))|(empty(X3746)|~relation(X3747)))))&((in(esk254_5(X3746,X3747,X3760,X3761,X3762),X3762)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|in(esk249_2(X3746,X3747),esk251_2(X3746,X3747))|(empty(X3746)|~relation(X3747)))&(~in(ordered_pair(X3761,esk254_5(X3746,X3747,X3760,X3761,X3762)),X3747)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|in(esk249_2(X3746,X3747),esk251_2(X3746,X3747))|(empty(X3746)|~relation(X3747)))))))&(((relation(esk252_2(X3746,X3747))|(~in(X3754,esk251_2(X3746,X3747))|in(ordered_pair(esk249_2(X3746,X3747),X3754),X3747))|(empty(X3746)|~relation(X3747)))&(function(esk252_2(X3746,X3747))|(~in(X3754,esk251_2(X3746,X3747))|in(ordered_pair(esk249_2(X3746,X3747),X3754),X3747))|(empty(X3746)|~relation(X3747))))&(((in(X3756,X3746)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|(~in(X3754,esk251_2(X3746,X3747))|in(ordered_pair(esk249_2(X3746,X3747),X3754),X3747))|(empty(X3746)|~relation(X3747)))&(((X3756=esk253_4(X3746,X3747,X3756,X3757)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|(~in(X3754,esk251_2(X3746,X3747))|in(ordered_pair(esk249_2(X3746,X3747),X3754),X3747))|(empty(X3746)|~relation(X3747)))&(in(X3757,esk253_4(X3746,X3747,X3756,X3757))|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|(~in(X3754,esk251_2(X3746,X3747))|in(ordered_pair(esk249_2(X3746,X3747),X3754),X3747))|(empty(X3746)|~relation(X3747))))&(~in(X3759,esk253_4(X3746,X3747,X3756,X3757))|in(ordered_pair(X3757,X3759),X3747)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|(~in(X3754,esk251_2(X3746,X3747))|in(ordered_pair(esk249_2(X3746,X3747),X3754),X3747))|(empty(X3746)|~relation(X3747)))))&((in(esk254_5(X3746,X3747,X3760,X3761,X3762),X3762)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|(~in(X3754,esk251_2(X3746,X3747))|in(ordered_pair(esk249_2(X3746,X3747),X3754),X3747))|(empty(X3746)|~relation(X3747)))&(~in(ordered_pair(X3761,esk254_5(X3746,X3747,X3760,X3761,X3762)),X3747)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|(~in(X3754,esk251_2(X3746,X3747))|in(ordered_pair(esk249_2(X3746,X3747),X3754),X3747))|(empty(X3746)|~relation(X3747))))))))&(((relation(esk252_2(X3746,X3747))|esk248_2(X3746,X3747)!=esk249_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))&(function(esk252_2(X3746,X3747))|esk248_2(X3746,X3747)!=esk249_2(X3746,X3747)|(empty(X3746)|~relation(X3747))))&(((in(X3756,X3746)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|esk248_2(X3746,X3747)!=esk249_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))&(((X3756=esk253_4(X3746,X3747,X3756,X3757)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|esk248_2(X3746,X3747)!=esk249_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))&(in(X3757,esk253_4(X3746,X3747,X3756,X3757))|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|esk248_2(X3746,X3747)!=esk249_2(X3746,X3747)|(empty(X3746)|~relation(X3747))))&(~in(X3759,esk253_4(X3746,X3747,X3756,X3757))|in(ordered_pair(X3757,X3759),X3747)|~in(ordered_pair(X3756,X3757),esk252_2(X3746,X3747))|esk248_2(X3746,X3747)!=esk249_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))))&((in(esk254_5(X3746,X3747,X3760,X3761,X3762),X3762)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|esk248_2(X3746,X3747)!=esk249_2(X3746,X3747)|(empty(X3746)|~relation(X3747)))&(~in(ordered_pair(X3761,esk254_5(X3746,X3747,X3760,X3761,X3762)),X3747)|(X3760!=X3762|~in(X3761,X3762))|~in(X3760,X3746)|in(ordered_pair(X3760,X3761),esk252_2(X3746,X3747))|esk248_2(X3746,X3747)!=esk249_2(X3746,X3747)|(empty(X3746)|~relation(X3747))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_838])])])])])])).
% 282.18/198.89 fof(i_0_892, plain, ![X3825, X3826, X3831, X3833, X3835, X3838, X3839, X3840, X3841]:(((((((in(esk282_3(X3825,X3826,X3835),X3825)|~in(X3835,esk281_2(X3825,X3826))|in(esk276_2(X3825,X3826),X3825)|(empty(X3825)|~relation(X3826)))&(((esk282_3(X3825,X3826,X3835)=esk283_3(X3825,X3826,X3835)|~in(X3835,esk281_2(X3825,X3826))|in(esk276_2(X3825,X3826),X3825)|(empty(X3825)|~relation(X3826)))&(in(X3835,esk283_3(X3825,X3826,X3835))|~in(X3835,esk281_2(X3825,X3826))|in(esk276_2(X3825,X3826),X3825)|(empty(X3825)|~relation(X3826))))&(~in(X3838,esk283_3(X3825,X3826,X3835))|in(ordered_pair(X3835,X3838),X3826)|~in(X3835,esk281_2(X3825,X3826))|in(esk276_2(X3825,X3826),X3825)|(empty(X3825)|~relation(X3826)))))&((in(esk284_5(X3825,X3826,X3839,X3840,X3841),X3841)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|in(esk276_2(X3825,X3826),X3825)|(empty(X3825)|~relation(X3826)))&(~in(ordered_pair(X3839,esk284_5(X3825,X3826,X3839,X3840,X3841)),X3826)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|in(esk276_2(X3825,X3826),X3825)|(empty(X3825)|~relation(X3826)))))&(((((in(esk282_3(X3825,X3826,X3835),X3825)|~in(X3835,esk281_2(X3825,X3826))|esk276_2(X3825,X3826)=esk279_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))&(((esk282_3(X3825,X3826,X3835)=esk283_3(X3825,X3826,X3835)|~in(X3835,esk281_2(X3825,X3826))|esk276_2(X3825,X3826)=esk279_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))&(in(X3835,esk283_3(X3825,X3826,X3835))|~in(X3835,esk281_2(X3825,X3826))|esk276_2(X3825,X3826)=esk279_2(X3825,X3826)|(empty(X3825)|~relation(X3826))))&(~in(X3838,esk283_3(X3825,X3826,X3835))|in(ordered_pair(X3835,X3838),X3826)|~in(X3835,esk281_2(X3825,X3826))|esk276_2(X3825,X3826)=esk279_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))))&((in(esk284_5(X3825,X3826,X3839,X3840,X3841),X3841)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|esk276_2(X3825,X3826)=esk279_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))&(~in(ordered_pair(X3839,esk284_5(X3825,X3826,X3839,X3840,X3841)),X3826)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|esk276_2(X3825,X3826)=esk279_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))))&(((in(esk282_3(X3825,X3826,X3835),X3825)|~in(X3835,esk281_2(X3825,X3826))|in(esk277_2(X3825,X3826),esk279_2(X3825,X3826))|(empty(X3825)|~relation(X3826)))&(((esk282_3(X3825,X3826,X3835)=esk283_3(X3825,X3826,X3835)|~in(X3835,esk281_2(X3825,X3826))|in(esk277_2(X3825,X3826),esk279_2(X3825,X3826))|(empty(X3825)|~relation(X3826)))&(in(X3835,esk283_3(X3825,X3826,X3835))|~in(X3835,esk281_2(X3825,X3826))|in(esk277_2(X3825,X3826),esk279_2(X3825,X3826))|(empty(X3825)|~relation(X3826))))&(~in(X3838,esk283_3(X3825,X3826,X3835))|in(ordered_pair(X3835,X3838),X3826)|~in(X3835,esk281_2(X3825,X3826))|in(esk277_2(X3825,X3826),esk279_2(X3825,X3826))|(empty(X3825)|~relation(X3826)))))&((in(esk284_5(X3825,X3826,X3839,X3840,X3841),X3841)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|in(esk277_2(X3825,X3826),esk279_2(X3825,X3826))|(empty(X3825)|~relation(X3826)))&(~in(ordered_pair(X3839,esk284_5(X3825,X3826,X3839,X3840,X3841)),X3826)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|in(esk277_2(X3825,X3826),esk279_2(X3825,X3826))|(empty(X3825)|~relation(X3826))))))&(((in(esk282_3(X3825,X3826,X3835),X3825)|~in(X3835,esk281_2(X3825,X3826))|(~in(X3831,esk279_2(X3825,X3826))|in(ordered_pair(esk277_2(X3825,X3826),X3831),X3826))|(empty(X3825)|~relation(X3826)))&(((esk282_3(X3825,X3826,X3835)=esk283_3(X3825,X3826,X3835)|~in(X3835,esk281_2(X3825,X3826))|(~in(X3831,esk279_2(X3825,X3826))|in(ordered_pair(esk277_2(X3825,X3826),X3831),X3826))|(empty(X3825)|~relation(X3826)))&(in(X3835,esk283_3(X3825,X3826,X3835))|~in(X3835,esk281_2(X3825,X3826))|(~in(X3831,esk279_2(X3825,X3826))|in(ordered_pair(esk277_2(X3825,X3826),X3831),X3826))|(empty(X3825)|~relation(X3826))))&(~in(X3838,esk283_3(X3825,X3826,X3835))|in(ordered_pair(X3835,X3838),X3826)|~in(X3835,esk281_2(X3825,X3826))|(~in(X3831,esk279_2(X3825,X3826))|in(ordered_pair(esk277_2(X3825,X3826),X3831),X3826))|(empty(X3825)|~relation(X3826)))))&((in(esk284_5(X3825,X3826,X3839,X3840,X3841),X3841)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|(~in(X3831,esk279_2(X3825,X3826))|in(ordered_pair(esk277_2(X3825,X3826),X3831),X3826))|(empty(X3825)|~relation(X3826)))&(~in(ordered_pair(X3839,esk284_5(X3825,X3826,X3839,X3840,X3841)),X3826)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|(~in(X3831,esk279_2(X3825,X3826))|in(ordered_pair(esk277_2(X3825,X3826),X3831),X3826))|(empty(X3825)|~relation(X3826)))))))&(((in(esk282_3(X3825,X3826,X3835),X3825)|~in(X3835,esk281_2(X3825,X3826))|in(esk276_2(X3825,X3826),X3825)|(empty(X3825)|~relation(X3826)))&(((esk282_3(X3825,X3826,X3835)=esk283_3(X3825,X3826,X3835)|~in(X3835,esk281_2(X3825,X3826))|in(esk276_2(X3825,X3826),X3825)|(empty(X3825)|~relation(X3826)))&(in(X3835,esk283_3(X3825,X3826,X3835))|~in(X3835,esk281_2(X3825,X3826))|in(esk276_2(X3825,X3826),X3825)|(empty(X3825)|~relation(X3826))))&(~in(X3838,esk283_3(X3825,X3826,X3835))|in(ordered_pair(X3835,X3838),X3826)|~in(X3835,esk281_2(X3825,X3826))|in(esk276_2(X3825,X3826),X3825)|(empty(X3825)|~relation(X3826)))))&((in(esk284_5(X3825,X3826,X3839,X3840,X3841),X3841)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|in(esk276_2(X3825,X3826),X3825)|(empty(X3825)|~relation(X3826)))&(~in(ordered_pair(X3839,esk284_5(X3825,X3826,X3839,X3840,X3841)),X3826)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|in(esk276_2(X3825,X3826),X3825)|(empty(X3825)|~relation(X3826))))))&(((((in(esk282_3(X3825,X3826,X3835),X3825)|~in(X3835,esk281_2(X3825,X3826))|esk276_2(X3825,X3826)=esk280_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))&(((esk282_3(X3825,X3826,X3835)=esk283_3(X3825,X3826,X3835)|~in(X3835,esk281_2(X3825,X3826))|esk276_2(X3825,X3826)=esk280_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))&(in(X3835,esk283_3(X3825,X3826,X3835))|~in(X3835,esk281_2(X3825,X3826))|esk276_2(X3825,X3826)=esk280_2(X3825,X3826)|(empty(X3825)|~relation(X3826))))&(~in(X3838,esk283_3(X3825,X3826,X3835))|in(ordered_pair(X3835,X3838),X3826)|~in(X3835,esk281_2(X3825,X3826))|esk276_2(X3825,X3826)=esk280_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))))&((in(esk284_5(X3825,X3826,X3839,X3840,X3841),X3841)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|esk276_2(X3825,X3826)=esk280_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))&(~in(ordered_pair(X3839,esk284_5(X3825,X3826,X3839,X3840,X3841)),X3826)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|esk276_2(X3825,X3826)=esk280_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))))&(((in(esk282_3(X3825,X3826,X3835),X3825)|~in(X3835,esk281_2(X3825,X3826))|in(esk278_2(X3825,X3826),esk280_2(X3825,X3826))|(empty(X3825)|~relation(X3826)))&(((esk282_3(X3825,X3826,X3835)=esk283_3(X3825,X3826,X3835)|~in(X3835,esk281_2(X3825,X3826))|in(esk278_2(X3825,X3826),esk280_2(X3825,X3826))|(empty(X3825)|~relation(X3826)))&(in(X3835,esk283_3(X3825,X3826,X3835))|~in(X3835,esk281_2(X3825,X3826))|in(esk278_2(X3825,X3826),esk280_2(X3825,X3826))|(empty(X3825)|~relation(X3826))))&(~in(X3838,esk283_3(X3825,X3826,X3835))|in(ordered_pair(X3835,X3838),X3826)|~in(X3835,esk281_2(X3825,X3826))|in(esk278_2(X3825,X3826),esk280_2(X3825,X3826))|(empty(X3825)|~relation(X3826)))))&((in(esk284_5(X3825,X3826,X3839,X3840,X3841),X3841)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|in(esk278_2(X3825,X3826),esk280_2(X3825,X3826))|(empty(X3825)|~relation(X3826)))&(~in(ordered_pair(X3839,esk284_5(X3825,X3826,X3839,X3840,X3841)),X3826)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|in(esk278_2(X3825,X3826),esk280_2(X3825,X3826))|(empty(X3825)|~relation(X3826))))))&(((in(esk282_3(X3825,X3826,X3835),X3825)|~in(X3835,esk281_2(X3825,X3826))|(~in(X3833,esk280_2(X3825,X3826))|in(ordered_pair(esk278_2(X3825,X3826),X3833),X3826))|(empty(X3825)|~relation(X3826)))&(((esk282_3(X3825,X3826,X3835)=esk283_3(X3825,X3826,X3835)|~in(X3835,esk281_2(X3825,X3826))|(~in(X3833,esk280_2(X3825,X3826))|in(ordered_pair(esk278_2(X3825,X3826),X3833),X3826))|(empty(X3825)|~relation(X3826)))&(in(X3835,esk283_3(X3825,X3826,X3835))|~in(X3835,esk281_2(X3825,X3826))|(~in(X3833,esk280_2(X3825,X3826))|in(ordered_pair(esk278_2(X3825,X3826),X3833),X3826))|(empty(X3825)|~relation(X3826))))&(~in(X3838,esk283_3(X3825,X3826,X3835))|in(ordered_pair(X3835,X3838),X3826)|~in(X3835,esk281_2(X3825,X3826))|(~in(X3833,esk280_2(X3825,X3826))|in(ordered_pair(esk278_2(X3825,X3826),X3833),X3826))|(empty(X3825)|~relation(X3826)))))&((in(esk284_5(X3825,X3826,X3839,X3840,X3841),X3841)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|(~in(X3833,esk280_2(X3825,X3826))|in(ordered_pair(esk278_2(X3825,X3826),X3833),X3826))|(empty(X3825)|~relation(X3826)))&(~in(ordered_pair(X3839,esk284_5(X3825,X3826,X3839,X3840,X3841)),X3826)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|(~in(X3833,esk280_2(X3825,X3826))|in(ordered_pair(esk278_2(X3825,X3826),X3833),X3826))|(empty(X3825)|~relation(X3826)))))))&(((in(esk282_3(X3825,X3826,X3835),X3825)|~in(X3835,esk281_2(X3825,X3826))|esk277_2(X3825,X3826)!=esk278_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))&(((esk282_3(X3825,X3826,X3835)=esk283_3(X3825,X3826,X3835)|~in(X3835,esk281_2(X3825,X3826))|esk277_2(X3825,X3826)!=esk278_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))&(in(X3835,esk283_3(X3825,X3826,X3835))|~in(X3835,esk281_2(X3825,X3826))|esk277_2(X3825,X3826)!=esk278_2(X3825,X3826)|(empty(X3825)|~relation(X3826))))&(~in(X3838,esk283_3(X3825,X3826,X3835))|in(ordered_pair(X3835,X3838),X3826)|~in(X3835,esk281_2(X3825,X3826))|esk277_2(X3825,X3826)!=esk278_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))))&((in(esk284_5(X3825,X3826,X3839,X3840,X3841),X3841)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|esk277_2(X3825,X3826)!=esk278_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))&(~in(ordered_pair(X3839,esk284_5(X3825,X3826,X3839,X3840,X3841)),X3826)|(X3840!=X3841|~in(X3839,X3841))|~in(X3840,X3825)|in(X3839,esk281_2(X3825,X3826))|esk277_2(X3825,X3826)!=esk278_2(X3825,X3826)|(empty(X3825)|~relation(X3826)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_839])])])])])])).
% 282.18/198.90 fof(i_0_893, plain, ![X1, X2, X3, X4, X5, X6]:(((((((~empty(X1)&~empty(X2))&function(X4))&quasi_total(X4,cartesian_product2(X1,X2),X3))&relation_of2(X4,cartesian_product2(X1,X2),X3))&element(X5,X1))&element(X6,X2))=>element(apply_binary_as_element(X1,X2,X3,X4,X5,X6),X3)), inference(fof_simplification,[status(thm)],[dt_k2_binop_1])).
% 282.18/198.90 fof(i_0_894, plain, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:((((~empty_carrier(X2)&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:((((~empty_carrier(X3)&transitive_relstr(X3))&directed_relstr(X3))&net_str(X3,X1))=>(subnet(X3,X1,X2)<=>?[X4]:((((function(X4)&quasi_total(X4,the_carrier(X3),the_carrier(X2)))&relation_of2_as_subset(X4,the_carrier(X3),the_carrier(X2)))&the_mapping(X1,X3)=function_of_composition(the_carrier(X3),the_carrier(X2),the_carrier(X1),X4,the_mapping(X1,X2)))&![X5]:(element(X5,the_carrier(X2))=>?[X6]:(element(X6,the_carrier(X3))&![X7]:(element(X7,the_carrier(X3))=>(related(X3,X6,X7)=>related(X2,X5,apply_on_set_and_struct(the_carrier(X3),X2,X4,X7))))))))))), inference(fof_simplification,[status(thm)],[d12_yellow_6])).
% 282.18/198.90 fof(i_0_895, plain, ![X2973, X2974, X2975, X2976, X2977, X2978, X2979]:(((((relation_dom(X2975)=relation_field(X2973)|~relation_isomorphism(X2973,X2974,X2975)|(~relation(X2975)|~function(X2975))|~relation(X2974)|~relation(X2973))&(relation_rng(X2975)=relation_field(X2974)|~relation_isomorphism(X2973,X2974,X2975)|(~relation(X2975)|~function(X2975))|~relation(X2974)|~relation(X2973)))&(one_to_one(X2975)|~relation_isomorphism(X2973,X2974,X2975)|(~relation(X2975)|~function(X2975))|~relation(X2974)|~relation(X2973)))&((((in(X2976,relation_field(X2973))|~in(ordered_pair(X2976,X2977),X2973)|~relation_isomorphism(X2973,X2974,X2975)|(~relation(X2975)|~function(X2975))|~relation(X2974)|~relation(X2973))&(in(X2977,relation_field(X2973))|~in(ordered_pair(X2976,X2977),X2973)|~relation_isomorphism(X2973,X2974,X2975)|(~relation(X2975)|~function(X2975))|~relation(X2974)|~relation(X2973)))&(in(ordered_pair(apply(X2975,X2976),apply(X2975,X2977)),X2974)|~in(ordered_pair(X2976,X2977),X2973)|~relation_isomorphism(X2973,X2974,X2975)|(~relation(X2975)|~function(X2975))|~relation(X2974)|~relation(X2973)))&(~in(X2978,relation_field(X2973))|~in(X2979,relation_field(X2973))|~in(ordered_pair(apply(X2975,X2978),apply(X2975,X2979)),X2974)|in(ordered_pair(X2978,X2979),X2973)|~relation_isomorphism(X2973,X2974,X2975)|(~relation(X2975)|~function(X2975))|~relation(X2974)|~relation(X2973))))&((~in(ordered_pair(esk126_3(X2973,X2974,X2975),esk127_3(X2973,X2974,X2975)),X2973)|(~in(esk126_3(X2973,X2974,X2975),relation_field(X2973))|~in(esk127_3(X2973,X2974,X2975),relation_field(X2973))|~in(ordered_pair(apply(X2975,esk126_3(X2973,X2974,X2975)),apply(X2975,esk127_3(X2973,X2974,X2975))),X2974))|(relation_dom(X2975)!=relation_field(X2973)|relation_rng(X2975)!=relation_field(X2974)|~one_to_one(X2975))|relation_isomorphism(X2973,X2974,X2975)|(~relation(X2975)|~function(X2975))|~relation(X2974)|~relation(X2973))&(((in(esk126_3(X2973,X2974,X2975),relation_field(X2973))|in(ordered_pair(esk126_3(X2973,X2974,X2975),esk127_3(X2973,X2974,X2975)),X2973)|(relation_dom(X2975)!=relation_field(X2973)|relation_rng(X2975)!=relation_field(X2974)|~one_to_one(X2975))|relation_isomorphism(X2973,X2974,X2975)|(~relation(X2975)|~function(X2975))|~relation(X2974)|~relation(X2973))&(in(esk127_3(X2973,X2974,X2975),relation_field(X2973))|in(ordered_pair(esk126_3(X2973,X2974,X2975),esk127_3(X2973,X2974,X2975)),X2973)|(relation_dom(X2975)!=relation_field(X2973)|relation_rng(X2975)!=relation_field(X2974)|~one_to_one(X2975))|relation_isomorphism(X2973,X2974,X2975)|(~relation(X2975)|~function(X2975))|~relation(X2974)|~relation(X2973)))&(in(ordered_pair(apply(X2975,esk126_3(X2973,X2974,X2975)),apply(X2975,esk127_3(X2973,X2974,X2975))),X2974)|in(ordered_pair(esk126_3(X2973,X2974,X2975),esk127_3(X2973,X2974,X2975)),X2973)|(relation_dom(X2975)!=relation_field(X2973)|relation_rng(X2975)!=relation_field(X2974)|~one_to_one(X2975))|relation_isomorphism(X2973,X2974,X2975)|(~relation(X2975)|~function(X2975))|~relation(X2974)|~relation(X2973))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_wellord1])])])])])])).
% 282.18/198.90 fof(i_0_896, plain, ![X1, X2, X3, X4, X5, X6]:(((((((~empty(X1)&~empty(X2))&function(X4))&quasi_total(X4,cartesian_product2(X1,X2),X3))&relation_of2(X4,cartesian_product2(X1,X2),X3))&element(X5,X1))&element(X6,X2))=>apply_binary_as_element(X1,X2,X3,X4,X5,X6)=apply_binary(X4,X5,X6)), inference(fof_simplification,[status(thm)],[redefinition_k2_binop_1])).
% 282.18/198.90 fof(i_0_897, lemma, ![X4529, X4530, X4531, X4533, X4534]:(((in(esk512_3(X4529,X4530,X4531),X4530)|relation_rng_as_subset(X4529,X4530,X4531)=X4530|~relation_of2_as_subset(X4531,X4529,X4530))&(~in(ordered_pair(X4533,esk512_3(X4529,X4530,X4531)),X4531)|relation_rng_as_subset(X4529,X4530,X4531)=X4530|~relation_of2_as_subset(X4531,X4529,X4530)))&(relation_rng_as_subset(X4529,X4530,X4531)!=X4530|(~in(X4534,X4530)|in(ordered_pair(esk513_4(X4529,X4530,X4531,X4534),X4534),X4531))|~relation_of2_as_subset(X4531,X4529,X4530))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_840])])])])])).
% 282.18/198.90 fof(i_0_898, plain, ![X1]:((~empty_carrier(X1)&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>join(X1,X2,X3)=apply_binary_as_element(the_carrier(X1),the_carrier(X1),the_carrier(X1),the_L_join(X1),X2,X3)))), inference(fof_simplification,[status(thm)],[d1_lattices])).
% 282.18/198.90 fof(i_0_899, plain, ![X1]:((~empty_carrier(X1)&meet_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>meet(X1,X2,X3)=apply_binary_as_element(the_carrier(X1),the_carrier(X1),the_carrier(X1),the_L_meet(X1),X2,X3)))), inference(fof_simplification,[status(thm)],[d2_lattices])).
% 282.18/198.90 fof(i_0_900, plain, ![X2508, X2509, X2510, X2511, X2513, X2514, X2515, X2516, X2518]:((((in(ordered_pair(esk25_4(X2508,X2509,X2510,X2511),X2511),X2508)|~in(X2511,X2510)|X2510!=relation_image(X2508,X2509)|~relation(X2508))&(in(esk25_4(X2508,X2509,X2510,X2511),X2509)|~in(X2511,X2510)|X2510!=relation_image(X2508,X2509)|~relation(X2508)))&(~in(ordered_pair(X2514,X2513),X2508)|~in(X2514,X2509)|in(X2513,X2510)|X2510!=relation_image(X2508,X2509)|~relation(X2508)))&((~in(esk26_3(X2508,X2515,X2516),X2516)|(~in(ordered_pair(X2518,esk26_3(X2508,X2515,X2516)),X2508)|~in(X2518,X2515))|X2516=relation_image(X2508,X2515)|~relation(X2508))&((in(ordered_pair(esk27_3(X2508,X2515,X2516),esk26_3(X2508,X2515,X2516)),X2508)|in(esk26_3(X2508,X2515,X2516),X2516)|X2516=relation_image(X2508,X2515)|~relation(X2508))&(in(esk27_3(X2508,X2515,X2516),X2515)|in(esk26_3(X2508,X2515,X2516),X2516)|X2516=relation_image(X2508,X2515)|~relation(X2508))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_relat_1])])])])])])).
% 282.18/198.90 fof(i_0_901, plain, ![X2457, X2458, X2459, X2460, X2461, X2462, X2463]:((((in(X2461,X2457)|~in(ordered_pair(X2460,X2461),X2459)|X2459!=relation_rng_restriction(X2457,X2458)|~relation(X2459)|~relation(X2458))&(in(ordered_pair(X2460,X2461),X2458)|~in(ordered_pair(X2460,X2461),X2459)|X2459!=relation_rng_restriction(X2457,X2458)|~relation(X2459)|~relation(X2458)))&(~in(X2463,X2457)|~in(ordered_pair(X2462,X2463),X2458)|in(ordered_pair(X2462,X2463),X2459)|X2459!=relation_rng_restriction(X2457,X2458)|~relation(X2459)|~relation(X2458)))&((~in(ordered_pair(esk11_3(X2457,X2458,X2459),esk12_3(X2457,X2458,X2459)),X2459)|(~in(esk12_3(X2457,X2458,X2459),X2457)|~in(ordered_pair(esk11_3(X2457,X2458,X2459),esk12_3(X2457,X2458,X2459)),X2458))|X2459=relation_rng_restriction(X2457,X2458)|~relation(X2459)|~relation(X2458))&((in(esk12_3(X2457,X2458,X2459),X2457)|in(ordered_pair(esk11_3(X2457,X2458,X2459),esk12_3(X2457,X2458,X2459)),X2459)|X2459=relation_rng_restriction(X2457,X2458)|~relation(X2459)|~relation(X2458))&(in(ordered_pair(esk11_3(X2457,X2458,X2459),esk12_3(X2457,X2458,X2459)),X2458)|in(ordered_pair(esk11_3(X2457,X2458,X2459),esk12_3(X2457,X2458,X2459)),X2459)|X2459=relation_rng_restriction(X2457,X2458)|~relation(X2459)|~relation(X2458))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_relat_1])])])])])])).
% 282.18/198.90 fof(i_0_902, plain, ![X2427, X2428, X2429, X2430, X2431, X2432, X2433]:((((in(X2430,X2428)|~in(ordered_pair(X2430,X2431),X2429)|X2429!=relation_dom_restriction(X2427,X2428)|~relation(X2429)|~relation(X2427))&(in(ordered_pair(X2430,X2431),X2427)|~in(ordered_pair(X2430,X2431),X2429)|X2429!=relation_dom_restriction(X2427,X2428)|~relation(X2429)|~relation(X2427)))&(~in(X2432,X2428)|~in(ordered_pair(X2432,X2433),X2427)|in(ordered_pair(X2432,X2433),X2429)|X2429!=relation_dom_restriction(X2427,X2428)|~relation(X2429)|~relation(X2427)))&((~in(ordered_pair(esk4_3(X2427,X2428,X2429),esk5_3(X2427,X2428,X2429)),X2429)|(~in(esk4_3(X2427,X2428,X2429),X2428)|~in(ordered_pair(esk4_3(X2427,X2428,X2429),esk5_3(X2427,X2428,X2429)),X2427))|X2429=relation_dom_restriction(X2427,X2428)|~relation(X2429)|~relation(X2427))&((in(esk4_3(X2427,X2428,X2429),X2428)|in(ordered_pair(esk4_3(X2427,X2428,X2429),esk5_3(X2427,X2428,X2429)),X2429)|X2429=relation_dom_restriction(X2427,X2428)|~relation(X2429)|~relation(X2427))&(in(ordered_pair(esk4_3(X2427,X2428,X2429),esk5_3(X2427,X2428,X2429)),X2427)|in(ordered_pair(esk4_3(X2427,X2428,X2429),esk5_3(X2427,X2428,X2429)),X2429)|X2429=relation_dom_restriction(X2427,X2428)|~relation(X2429)|~relation(X2427))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_relat_1])])])])])])).
% 282.18/198.90 fof(i_0_903, lemma, ![X4222, X4223, X4228, X4230, X4232, X4233, X4236, X4238]:((((((((relation(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk467_2(X4222,X4223),X4222)|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223)))))&(((((relation(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223)))))&((((relation(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk462_2(X4222,X4223),X4222))|(empty(X4222)|~relation(X4223)))))))&(((((((relation(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk467_2(X4222,X4223),X4222)|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))))&(((((relation(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))))&((((relation(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk465_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))))))&(((((relation(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk467_2(X4222,X4223),X4222)|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))))&(((((relation(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))))&((((relation(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk463_2(X4222,X4223),esk465_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))))))&(((((relation(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk467_2(X4222,X4223),X4222)|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223)))))&(((((relation(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223)))))&((((relation(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4228,esk465_2(X4222,X4223))|in(ordered_pair(esk463_2(X4222,X4223),X4228),X4223)))|(empty(X4222)|~relation(X4223)))))))))&(((((((relation(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk467_2(X4222,X4223),X4222)|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))))&(((((relation(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))))&((((relation(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk462_2(X4222,X4223)=esk466_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))))))&(((((relation(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk467_2(X4222,X4223),X4222)|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))))&(((((relation(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))))&((((relation(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|in(esk464_2(X4222,X4223),esk466_2(X4222,X4223)))|(empty(X4222)|~relation(X4223))))))))&(((((relation(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk467_2(X4222,X4223),X4222)|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223)))))&(((((relation(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223)))))&((((relation(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|(~in(X4230,esk466_2(X4222,X4223))|in(ordered_pair(esk464_2(X4222,X4223),X4230),X4223)))|(empty(X4222)|~relation(X4223)))))))))&(((((relation(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk467_2(X4222,X4223),X4222)|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk467_2(X4222,X4223),X4222)|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk467_2(X4222,X4223),X4222)|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))))&(((((relation(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(in(esk468_4(X4222,X4223,X4232,X4233),X4233)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))))&((((relation(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(function(esk469_2(X4222,X4223))|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(relation_dom(esk469_2(X4222,X4223))=X4222|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(((X4236=esk470_3(X4222,X4223,X4236)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))&(in(apply(esk469_2(X4222,X4223),X4236),esk470_3(X4222,X4223,X4236))|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223))))&(~in(X4238,esk470_3(X4222,X4223,X4236))|in(ordered_pair(apply(esk469_2(X4222,X4223),X4236),X4238),X4223)|~in(X4236,X4222)|(~in(ordered_pair(X4232,esk468_4(X4222,X4223,X4232,X4233)),X4223)|(esk467_2(X4222,X4223)!=X4233|~in(X4232,X4233))|esk463_2(X4222,X4223)!=esk464_2(X4222,X4223))|(empty(X4222)|~relation(X4223)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_841])])])])])).
% 282.18/198.90 fof(i_0_904, plain, ![X2784, X2785, X2786, X2787, X2790, X2791, X2792, X2793, X2794, X2795, X2797, X2798]:(((((in(esk83_4(X2784,X2785,X2786,X2787),X2784)|~in(X2787,X2786)|X2786!=cartesian_product2(X2784,X2785))&(in(esk84_4(X2784,X2785,X2786,X2787),X2785)|~in(X2787,X2786)|X2786!=cartesian_product2(X2784,X2785)))&(X2787=ordered_pair(esk83_4(X2784,X2785,X2786,X2787),esk84_4(X2784,X2785,X2786,X2787))|~in(X2787,X2786)|X2786!=cartesian_product2(X2784,X2785)))&(~in(X2791,X2784)|~in(X2792,X2785)|X2790!=ordered_pair(X2791,X2792)|in(X2790,X2786)|X2786!=cartesian_product2(X2784,X2785)))&((~in(esk85_3(X2793,X2794,X2795),X2795)|(~in(X2797,X2793)|~in(X2798,X2794)|esk85_3(X2793,X2794,X2795)!=ordered_pair(X2797,X2798))|X2795=cartesian_product2(X2793,X2794))&(((in(esk86_3(X2793,X2794,X2795),X2793)|in(esk85_3(X2793,X2794,X2795),X2795)|X2795=cartesian_product2(X2793,X2794))&(in(esk87_3(X2793,X2794,X2795),X2794)|in(esk85_3(X2793,X2794,X2795),X2795)|X2795=cartesian_product2(X2793,X2794)))&(esk85_3(X2793,X2794,X2795)=ordered_pair(esk86_3(X2793,X2794,X2795),esk87_3(X2793,X2794,X2795))|in(esk85_3(X2793,X2794,X2795),X2795)|X2795=cartesian_product2(X2793,X2794))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_zfmisc_1])])])])])])).
% 282.18/198.90 fof(i_0_905, plain, ![X1, X2, X3, X4, X5]:(((((((~empty(X2)&function(X4))&quasi_total(X4,X1,X2))&relation_of2(X4,X1,X2))&function(X5))&quasi_total(X5,X2,X3))&relation_of2(X5,X2,X3))=>((function(function_of_composition(X1,X2,X3,X4,X5))&quasi_total(function_of_composition(X1,X2,X3,X4,X5),X1,X3))&relation_of2_as_subset(function_of_composition(X1,X2,X3,X4,X5),X1,X3))), inference(fof_simplification,[status(thm)],[dt_k7_funct_2])).
% 282.18/198.90 fof(i_0_906, plain, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:((~empty_carrier(X2)&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>![X4]:((strict_net_str(X4,X1)&net_str(X4,X1))=>(X4=netstr_restr_to_element(X1,X2,X3)<=>((![X5]:(in(X5,the_carrier(X4))<=>?[X6]:((element(X6,the_carrier(X2))&X6=X5)&related(X2,X3,X6)))&the_InternalRel(X4)=relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X4)))&the_mapping(X1,X4)=partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X4)))))))), inference(fof_simplification,[status(thm)],[d7_waybel_9])).
% 282.18/198.90 fof(i_0_907, plain, ![X2676, X2677, X2678, X2679, X2680, X2681, X2682]:((((X2679!=X2677|~in(X2679,X2678)|X2678!=fiber(X2676,X2677)|~relation(X2676))&(in(ordered_pair(X2679,X2677),X2676)|~in(X2679,X2678)|X2678!=fiber(X2676,X2677)|~relation(X2676)))&(X2680=X2677|~in(ordered_pair(X2680,X2677),X2676)|in(X2680,X2678)|X2678!=fiber(X2676,X2677)|~relation(X2676)))&((~in(esk61_3(X2676,X2681,X2682),X2682)|(esk61_3(X2676,X2681,X2682)=X2681|~in(ordered_pair(esk61_3(X2676,X2681,X2682),X2681),X2676))|X2682=fiber(X2676,X2681)|~relation(X2676))&((esk61_3(X2676,X2681,X2682)!=X2681|in(esk61_3(X2676,X2681,X2682),X2682)|X2682=fiber(X2676,X2681)|~relation(X2676))&(in(ordered_pair(esk61_3(X2676,X2681,X2682),X2681),X2676)|in(esk61_3(X2676,X2681,X2682),X2682)|X2682=fiber(X2676,X2681)|~relation(X2676))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_wellord1])])])])])])).
% 282.18/198.90 fof(i_0_908, plain, ![X2526, X2527, X2528, X2529, X2531, X2532, X2533, X2534, X2536]:((((in(ordered_pair(X2529,esk28_4(X2526,X2527,X2528,X2529)),X2526)|~in(X2529,X2528)|X2528!=relation_inverse_image(X2526,X2527)|~relation(X2526))&(in(esk28_4(X2526,X2527,X2528,X2529),X2527)|~in(X2529,X2528)|X2528!=relation_inverse_image(X2526,X2527)|~relation(X2526)))&(~in(ordered_pair(X2531,X2532),X2526)|~in(X2532,X2527)|in(X2531,X2528)|X2528!=relation_inverse_image(X2526,X2527)|~relation(X2526)))&((~in(esk29_3(X2526,X2533,X2534),X2534)|(~in(ordered_pair(esk29_3(X2526,X2533,X2534),X2536),X2526)|~in(X2536,X2533))|X2534=relation_inverse_image(X2526,X2533)|~relation(X2526))&((in(ordered_pair(esk29_3(X2526,X2533,X2534),esk30_3(X2526,X2533,X2534)),X2526)|in(esk29_3(X2526,X2533,X2534),X2534)|X2534=relation_inverse_image(X2526,X2533)|~relation(X2526))&(in(esk30_3(X2526,X2533,X2534),X2533)|in(esk29_3(X2526,X2533,X2534),X2534)|X2534=relation_inverse_image(X2526,X2533)|~relation(X2526))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d14_relat_1])])])])])])).
% 282.18/198.90 fof(i_0_909, lemma, ![X4512, X4513, X4514, X4516, X4517]:(((in(esk510_3(X4512,X4513,X4514),X4513)|relation_dom_as_subset(X4513,X4512,X4514)=X4513|~relation_of2_as_subset(X4514,X4513,X4512))&(~in(ordered_pair(esk510_3(X4512,X4513,X4514),X4516),X4514)|relation_dom_as_subset(X4513,X4512,X4514)=X4513|~relation_of2_as_subset(X4514,X4513,X4512)))&(relation_dom_as_subset(X4513,X4512,X4514)!=X4513|(~in(X4517,X4513)|in(ordered_pair(X4517,esk511_4(X4512,X4513,X4514,X4517)),X4514))|~relation_of2_as_subset(X4514,X4513,X4512))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_842])])])])])).
% 282.18/198.90 fof(i_0_910, lemma, ![X4213, X4214, X4215, X4216, X4220]:((((((element(esk461_3(X4213,X4214,X4215),the_carrier(X4213))|(in(esk458_3(X4213,X4214,X4215),X4215)|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214))))&(in(esk461_3(X4213,X4214,X4215),X4214)|(in(esk458_3(X4213,X4214,X4215),X4215)|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214)))))&(relstr_set_smaller(X4213,X4215,esk461_3(X4213,X4214,X4215))|(in(esk458_3(X4213,X4214,X4215),X4215)|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214)))))&(((element(esk461_3(X4213,X4214,X4215),the_carrier(X4213))|(subset(esk459_3(X4213,X4214,X4215),X4215)|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214))))&(in(esk461_3(X4213,X4214,X4215),X4214)|(subset(esk459_3(X4213,X4214,X4215),X4215)|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214)))))&(relstr_set_smaller(X4213,X4215,esk461_3(X4213,X4214,X4215))|(subset(esk459_3(X4213,X4214,X4215),X4215)|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214))))))&(((((element(esk461_3(X4213,X4214,X4215),the_carrier(X4213))|(element(esk460_3(X4213,X4214,X4215),the_carrier(X4213))|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214))))&(in(esk461_3(X4213,X4214,X4215),X4214)|(element(esk460_3(X4213,X4214,X4215),the_carrier(X4213))|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214)))))&(relstr_set_smaller(X4213,X4215,esk461_3(X4213,X4214,X4215))|(element(esk460_3(X4213,X4214,X4215),the_carrier(X4213))|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214)))))&(((element(esk461_3(X4213,X4214,X4215),the_carrier(X4213))|(in(esk460_3(X4213,X4214,X4215),X4214)|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214))))&(in(esk461_3(X4213,X4214,X4215),X4214)|(in(esk460_3(X4213,X4214,X4215),X4214)|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214)))))&(relstr_set_smaller(X4213,X4215,esk461_3(X4213,X4214,X4215))|(in(esk460_3(X4213,X4214,X4215),X4214)|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214))))))&(((element(esk461_3(X4213,X4214,X4215),the_carrier(X4213))|(relstr_set_smaller(X4213,esk459_3(X4213,X4214,X4215),esk460_3(X4213,X4214,X4215))|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214))))&(in(esk461_3(X4213,X4214,X4215),X4214)|(relstr_set_smaller(X4213,esk459_3(X4213,X4214,X4215),esk460_3(X4213,X4214,X4215))|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214)))))&(relstr_set_smaller(X4213,X4215,esk461_3(X4213,X4214,X4215))|(relstr_set_smaller(X4213,esk459_3(X4213,X4214,X4215),esk460_3(X4213,X4214,X4215))|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214)))))))&(((element(esk461_3(X4213,X4214,X4215),the_carrier(X4213))|(~element(X4220,the_carrier(X4213))|~in(X4220,X4214)|~relstr_set_smaller(X4213,set_union2(esk459_3(X4213,X4214,X4215),singleton(esk458_3(X4213,X4214,X4215))),X4220)|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214))))&(in(esk461_3(X4213,X4214,X4215),X4214)|(~element(X4220,the_carrier(X4213))|~in(X4220,X4214)|~relstr_set_smaller(X4213,set_union2(esk459_3(X4213,X4214,X4215),singleton(esk458_3(X4213,X4214,X4215))),X4220)|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214)))))&(relstr_set_smaller(X4213,X4215,esk461_3(X4213,X4214,X4215))|(~element(X4220,the_carrier(X4213))|~in(X4220,X4214)|~relstr_set_smaller(X4213,set_union2(esk459_3(X4213,X4214,X4215),singleton(esk458_3(X4213,X4214,X4215))),X4220)|(~finite(X4215)|(~element(X4216,the_carrier(X4213))|~in(X4216,X4214)|~relstr_set_smaller(X4213,empty_set,X4216))))|(empty_carrier(X4213)|~transitive_relstr(X4213)|~rel_str(X4213)|~element(X4214,powerset(the_carrier(X4213)))|~finite(X4215)|~element(X4215,powerset(X4214)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_843])])])])])).
% 282.18/198.90 fof(i_0_911, plain, ![X2, X3, X4]:(epred2_3(X4,X3,X2)=>(((X2=X3&?[X5]:((ordinal(X5)&X3=X5)&(in(X5,omega)=>![X6]:(element(X6,powerset(powerset(X5)))=>~((X6!=empty_set&![X7]:~((in(X7,X6)&![X8]:((in(X8,X6)&subset(X7,X8))=>X8=X7)))))))))&X2=X4)&?[X9]:((ordinal(X9)&X4=X9)&(in(X9,omega)=>![X10]:(element(X10,powerset(powerset(X9)))=>~((X10!=empty_set&![X11]:~((in(X11,X10)&![X12]:((in(X12,X10)&subset(X11,X12))=>X12=X11)))))))))), inference(split_equiv,[status(thm)],[i_0_832])).
% 282.18/198.90 fof(i_0_912, plain, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:((~empty_carrier(X2)&net_str(X2,X1))=>![X3]:(is_eventually_in(X1,X2,X3)<=>?[X4]:(element(X4,the_carrier(X2))&![X5]:(element(X5,the_carrier(X2))=>(related(X2,X4,X5)=>in(apply_netmap(X1,X2,X5),X3))))))), inference(fof_simplification,[status(thm)],[d11_waybel_0])).
% 282.18/198.90 fof(i_0_913, plain, ![X2954, X2955, X2956, X2957, X2958, X2959]:(((~in(ordered_pair(X2956,X2957),X2955)|in(ordered_pair(X2957,X2956),X2954)|X2955!=relation_inverse(X2954)|~relation(X2955)|~relation(X2954))&(~in(ordered_pair(X2959,X2958),X2954)|in(ordered_pair(X2958,X2959),X2955)|X2955!=relation_inverse(X2954)|~relation(X2955)|~relation(X2954)))&((~in(ordered_pair(esk121_2(X2954,X2955),esk122_2(X2954,X2955)),X2955)|~in(ordered_pair(esk122_2(X2954,X2955),esk121_2(X2954,X2955)),X2954)|X2955=relation_inverse(X2954)|~relation(X2955)|~relation(X2954))&(in(ordered_pair(esk121_2(X2954,X2955),esk122_2(X2954,X2955)),X2955)|in(ordered_pair(esk122_2(X2954,X2955),esk121_2(X2954,X2955)),X2954)|X2955=relation_inverse(X2954)|~relation(X2955)|~relation(X2954)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_relat_1])])])])])])).
% 282.18/198.90 fof(i_0_914, plain, ![X2737, X2738, X2739, X2740, X2741, X2742]:(((~in(ordered_pair(X2739,X2740),X2737)|in(ordered_pair(X2739,X2740),X2738)|X2737!=X2738|~relation(X2738)|~relation(X2737))&(~in(ordered_pair(X2741,X2742),X2738)|in(ordered_pair(X2741,X2742),X2737)|X2737!=X2738|~relation(X2738)|~relation(X2737)))&((~in(ordered_pair(esk73_2(X2737,X2738),esk74_2(X2737,X2738)),X2737)|~in(ordered_pair(esk73_2(X2737,X2738),esk74_2(X2737,X2738)),X2738)|X2737=X2738|~relation(X2738)|~relation(X2737))&(in(ordered_pair(esk73_2(X2737,X2738),esk74_2(X2737,X2738)),X2737)|in(ordered_pair(esk73_2(X2737,X2738),esk74_2(X2737,X2738)),X2738)|X2737=X2738|~relation(X2738)|~relation(X2737)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_relat_1])])])])])])).
% 282.18/198.90 fof(i_0_915, plain, ![X1, X2, X3]:((((((~empty_carrier(X1)&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>(![X4, X5, X6]:((((X4=X5&?[X7]:(X7=X5&?[X8]:((element(X8,the_carrier(X1))&in(X8,X2))&relstr_set_smaller(X1,X7,X8))))&X4=X6)&?[X9]:(X9=X6&?[X10]:((element(X10,the_carrier(X1))&in(X10,X2))&relstr_set_smaller(X1,X9,X10))))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,powerset(X3))&X6=X5)&?[X11]:(X11=X5&?[X12]:((element(X12,the_carrier(X1))&in(X12,X2))&relstr_set_smaller(X1,X11,X12))))))), inference(fof_simplification,[status(thm)],[s1_tarski__e11_2_1__waybel_0__1])).
% 282.18/198.90 fof(i_0_916, plain, ![X1, X2, X3, X4, X5]:(((((((~empty(X2)&function(X4))&quasi_total(X4,X1,X2))&relation_of2(X4,X1,X2))&function(X5))&quasi_total(X5,X2,X3))&relation_of2(X5,X2,X3))=>function_of_composition(X1,X2,X3,X4,X5)=relation_composition(X4,X5)), inference(fof_simplification,[status(thm)],[redefinition_k7_funct_2])).
% 282.18/198.90 fof(i_0_917, lemma, ![X4366, X4367, X4368, X4370]:((((in(esk501_3(X4366,X4367,X4368),relation_dom(X4368))|~in(X4366,relation_image(X4368,X4367))|~relation(X4368))&(in(ordered_pair(esk501_3(X4366,X4367,X4368),X4366),X4368)|~in(X4366,relation_image(X4368,X4367))|~relation(X4368)))&(in(esk501_3(X4366,X4367,X4368),X4367)|~in(X4366,relation_image(X4368,X4367))|~relation(X4368)))&(~in(X4370,relation_dom(X4368))|~in(ordered_pair(X4370,X4366),X4368)|~in(X4370,X4367)|in(X4366,relation_image(X4368,X4367))|~relation(X4368))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t143_relat_1])])])])])).
% 282.18/198.90 fof(i_0_918, plain, ![X2917, X2918, X2919, X2921, X2922, X2923, X2925]:(((~in(X2919,X2918)|in(ordered_pair(esk113_3(X2917,X2918,X2919),X2919),X2917)|X2918!=relation_rng(X2917)|~relation(X2917))&(~in(ordered_pair(X2922,X2921),X2917)|in(X2921,X2918)|X2918!=relation_rng(X2917)|~relation(X2917)))&((~in(esk114_2(X2917,X2923),X2923)|~in(ordered_pair(X2925,esk114_2(X2917,X2923)),X2917)|X2923=relation_rng(X2917)|~relation(X2917))&(in(esk114_2(X2917,X2923),X2923)|in(ordered_pair(esk115_2(X2917,X2923),esk114_2(X2917,X2923)),X2917)|X2923=relation_rng(X2917)|~relation(X2917)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_relat_1])])])])])])).
% 282.18/198.90 fof(i_0_919, lemma, ![X1, X2, X3]:((((((~empty_carrier(X1)&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>?[X4]:![X5]:(in(X5,X4)<=>(in(X5,powerset(X3))&?[X6]:(X6=X5&?[X7]:((element(X7,the_carrier(X1))&in(X7,X2))&relstr_set_smaller(X1,X6,X7)))))), inference(fof_simplification,[status(thm)],[s1_xboole_0__e11_2_1__waybel_0__1])).
% 282.18/198.90 fof(i_0_920, lemma, ![X3773, X3774, X3778, X3779, X3781, X3782, X3783, X3784, X3785]:(((((((relation(esk262_2(X3773,X3774))|in(esk259_2(X3773,X3774),complements_of_subsets(the_carrier(X3773),X3774))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(function(esk262_2(X3773,X3774))|in(esk259_2(X3773,X3774),complements_of_subsets(the_carrier(X3773),X3774))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773)))))))&(((in(X3781,complements_of_subsets(the_carrier(X3773),X3774))|~in(ordered_pair(X3781,X3782),esk262_2(X3773,X3774))|in(esk259_2(X3773,X3774),complements_of_subsets(the_carrier(X3773),X3774))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(~element(X3783,powerset(the_carrier(X3773)))|(X3783!=X3781|X3782=subset_complement(the_carrier(X3773),X3783))|~in(ordered_pair(X3781,X3782),esk262_2(X3773,X3774))|in(esk259_2(X3773,X3774),complements_of_subsets(the_carrier(X3773),X3774))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773)))))))&((element(esk263_4(X3773,X3774,X3784,X3785),powerset(the_carrier(X3773)))|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|in(esk259_2(X3773,X3774),complements_of_subsets(the_carrier(X3773),X3774))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&((esk263_4(X3773,X3774,X3784,X3785)=X3784|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|in(esk259_2(X3773,X3774),complements_of_subsets(the_carrier(X3773),X3774))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(X3785!=subset_complement(the_carrier(X3773),esk263_4(X3773,X3774,X3784,X3785))|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|in(esk259_2(X3773,X3774),complements_of_subsets(the_carrier(X3773),X3774))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))))))&(((relation(esk262_2(X3773,X3774))|(~element(X3778,powerset(the_carrier(X3773)))|(X3778!=esk259_2(X3773,X3774)|esk260_2(X3773,X3774)=subset_complement(the_carrier(X3773),X3778)))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(function(esk262_2(X3773,X3774))|(~element(X3778,powerset(the_carrier(X3773)))|(X3778!=esk259_2(X3773,X3774)|esk260_2(X3773,X3774)=subset_complement(the_carrier(X3773),X3778)))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773)))))))&(((in(X3781,complements_of_subsets(the_carrier(X3773),X3774))|~in(ordered_pair(X3781,X3782),esk262_2(X3773,X3774))|(~element(X3778,powerset(the_carrier(X3773)))|(X3778!=esk259_2(X3773,X3774)|esk260_2(X3773,X3774)=subset_complement(the_carrier(X3773),X3778)))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(~element(X3783,powerset(the_carrier(X3773)))|(X3783!=X3781|X3782=subset_complement(the_carrier(X3773),X3783))|~in(ordered_pair(X3781,X3782),esk262_2(X3773,X3774))|(~element(X3778,powerset(the_carrier(X3773)))|(X3778!=esk259_2(X3773,X3774)|esk260_2(X3773,X3774)=subset_complement(the_carrier(X3773),X3778)))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773)))))))&((element(esk263_4(X3773,X3774,X3784,X3785),powerset(the_carrier(X3773)))|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|(~element(X3778,powerset(the_carrier(X3773)))|(X3778!=esk259_2(X3773,X3774)|esk260_2(X3773,X3774)=subset_complement(the_carrier(X3773),X3778)))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&((esk263_4(X3773,X3774,X3784,X3785)=X3784|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|(~element(X3778,powerset(the_carrier(X3773)))|(X3778!=esk259_2(X3773,X3774)|esk260_2(X3773,X3774)=subset_complement(the_carrier(X3773),X3778)))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(X3785!=subset_complement(the_carrier(X3773),esk263_4(X3773,X3774,X3784,X3785))|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|(~element(X3778,powerset(the_carrier(X3773)))|(X3778!=esk259_2(X3773,X3774)|esk260_2(X3773,X3774)=subset_complement(the_carrier(X3773),X3778)))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773)))))))))))&(((relation(esk262_2(X3773,X3774))|in(esk259_2(X3773,X3774),complements_of_subsets(the_carrier(X3773),X3774))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(function(esk262_2(X3773,X3774))|in(esk259_2(X3773,X3774),complements_of_subsets(the_carrier(X3773),X3774))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773)))))))&(((in(X3781,complements_of_subsets(the_carrier(X3773),X3774))|~in(ordered_pair(X3781,X3782),esk262_2(X3773,X3774))|in(esk259_2(X3773,X3774),complements_of_subsets(the_carrier(X3773),X3774))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(~element(X3783,powerset(the_carrier(X3773)))|(X3783!=X3781|X3782=subset_complement(the_carrier(X3773),X3783))|~in(ordered_pair(X3781,X3782),esk262_2(X3773,X3774))|in(esk259_2(X3773,X3774),complements_of_subsets(the_carrier(X3773),X3774))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773)))))))&((element(esk263_4(X3773,X3774,X3784,X3785),powerset(the_carrier(X3773)))|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|in(esk259_2(X3773,X3774),complements_of_subsets(the_carrier(X3773),X3774))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&((esk263_4(X3773,X3774,X3784,X3785)=X3784|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|in(esk259_2(X3773,X3774),complements_of_subsets(the_carrier(X3773),X3774))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(X3785!=subset_complement(the_carrier(X3773),esk263_4(X3773,X3774,X3784,X3785))|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|in(esk259_2(X3773,X3774),complements_of_subsets(the_carrier(X3773),X3774))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773)))))))))))&(((relation(esk262_2(X3773,X3774))|(~element(X3779,powerset(the_carrier(X3773)))|(X3779!=esk259_2(X3773,X3774)|esk261_2(X3773,X3774)=subset_complement(the_carrier(X3773),X3779)))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(function(esk262_2(X3773,X3774))|(~element(X3779,powerset(the_carrier(X3773)))|(X3779!=esk259_2(X3773,X3774)|esk261_2(X3773,X3774)=subset_complement(the_carrier(X3773),X3779)))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773)))))))&(((in(X3781,complements_of_subsets(the_carrier(X3773),X3774))|~in(ordered_pair(X3781,X3782),esk262_2(X3773,X3774))|(~element(X3779,powerset(the_carrier(X3773)))|(X3779!=esk259_2(X3773,X3774)|esk261_2(X3773,X3774)=subset_complement(the_carrier(X3773),X3779)))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(~element(X3783,powerset(the_carrier(X3773)))|(X3783!=X3781|X3782=subset_complement(the_carrier(X3773),X3783))|~in(ordered_pair(X3781,X3782),esk262_2(X3773,X3774))|(~element(X3779,powerset(the_carrier(X3773)))|(X3779!=esk259_2(X3773,X3774)|esk261_2(X3773,X3774)=subset_complement(the_carrier(X3773),X3779)))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773)))))))&((element(esk263_4(X3773,X3774,X3784,X3785),powerset(the_carrier(X3773)))|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|(~element(X3779,powerset(the_carrier(X3773)))|(X3779!=esk259_2(X3773,X3774)|esk261_2(X3773,X3774)=subset_complement(the_carrier(X3773),X3779)))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&((esk263_4(X3773,X3774,X3784,X3785)=X3784|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|(~element(X3779,powerset(the_carrier(X3773)))|(X3779!=esk259_2(X3773,X3774)|esk261_2(X3773,X3774)=subset_complement(the_carrier(X3773),X3779)))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(X3785!=subset_complement(the_carrier(X3773),esk263_4(X3773,X3774,X3784,X3785))|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|(~element(X3779,powerset(the_carrier(X3773)))|(X3779!=esk259_2(X3773,X3774)|esk261_2(X3773,X3774)=subset_complement(the_carrier(X3773),X3779)))|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773)))))))))))&(((relation(esk262_2(X3773,X3774))|esk260_2(X3773,X3774)!=esk261_2(X3773,X3774)|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(function(esk262_2(X3773,X3774))|esk260_2(X3773,X3774)!=esk261_2(X3773,X3774)|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773)))))))&(((in(X3781,complements_of_subsets(the_carrier(X3773),X3774))|~in(ordered_pair(X3781,X3782),esk262_2(X3773,X3774))|esk260_2(X3773,X3774)!=esk261_2(X3773,X3774)|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(~element(X3783,powerset(the_carrier(X3773)))|(X3783!=X3781|X3782=subset_complement(the_carrier(X3773),X3783))|~in(ordered_pair(X3781,X3782),esk262_2(X3773,X3774))|esk260_2(X3773,X3774)!=esk261_2(X3773,X3774)|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773)))))))&((element(esk263_4(X3773,X3774,X3784,X3785),powerset(the_carrier(X3773)))|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|esk260_2(X3773,X3774)!=esk261_2(X3773,X3774)|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&((esk263_4(X3773,X3774,X3784,X3785)=X3784|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|esk260_2(X3773,X3774)!=esk261_2(X3773,X3774)|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))&(X3785!=subset_complement(the_carrier(X3773),esk263_4(X3773,X3774,X3784,X3785))|~in(X3784,complements_of_subsets(the_carrier(X3773),X3774))|in(ordered_pair(X3784,X3785),esk262_2(X3773,X3774))|esk260_2(X3773,X3774)!=esk261_2(X3773,X3774)|(~one_sorted_str(X3773)|~element(X3774,powerset(powerset(the_carrier(X3773))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_844])])])])])])).
% 282.18/198.90 fof(i_0_921, plain, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:((~empty_carrier(X2)&net_str(X2,X1))=>![X3]:(is_often_in(X1,X2,X3)<=>![X4]:(element(X4,the_carrier(X2))=>?[X5]:((element(X5,the_carrier(X2))&related(X2,X4,X5))&in(apply_netmap(X1,X2,X5),X3)))))), inference(fof_simplification,[status(thm)],[d12_waybel_0])).
% 282.18/198.90 fof(i_0_922, lemma, ![X3787, X3788, X3792, X3793, X3795, X3796, X3797, X3798, X3799]:(((((((relation(esk267_2(X3787,X3788))|in(esk264_2(X3787,X3788),X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(function(esk267_2(X3787,X3788))|in(esk264_2(X3787,X3788),X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787)))))))&(((in(X3795,X3788)|~in(ordered_pair(X3795,X3796),esk267_2(X3787,X3788))|in(esk264_2(X3787,X3788),X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(~element(X3797,powerset(the_carrier(X3787)))|(X3797!=X3795|X3796=subset_complement(the_carrier(X3787),X3797))|~in(ordered_pair(X3795,X3796),esk267_2(X3787,X3788))|in(esk264_2(X3787,X3788),X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787)))))))&((element(esk268_4(X3787,X3788,X3798,X3799),powerset(the_carrier(X3787)))|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|in(esk264_2(X3787,X3788),X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&((esk268_4(X3787,X3788,X3798,X3799)=X3798|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|in(esk264_2(X3787,X3788),X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(X3799!=subset_complement(the_carrier(X3787),esk268_4(X3787,X3788,X3798,X3799))|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|in(esk264_2(X3787,X3788),X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))))))&(((relation(esk267_2(X3787,X3788))|(~element(X3792,powerset(the_carrier(X3787)))|(X3792!=esk264_2(X3787,X3788)|esk265_2(X3787,X3788)=subset_complement(the_carrier(X3787),X3792)))|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(function(esk267_2(X3787,X3788))|(~element(X3792,powerset(the_carrier(X3787)))|(X3792!=esk264_2(X3787,X3788)|esk265_2(X3787,X3788)=subset_complement(the_carrier(X3787),X3792)))|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787)))))))&(((in(X3795,X3788)|~in(ordered_pair(X3795,X3796),esk267_2(X3787,X3788))|(~element(X3792,powerset(the_carrier(X3787)))|(X3792!=esk264_2(X3787,X3788)|esk265_2(X3787,X3788)=subset_complement(the_carrier(X3787),X3792)))|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(~element(X3797,powerset(the_carrier(X3787)))|(X3797!=X3795|X3796=subset_complement(the_carrier(X3787),X3797))|~in(ordered_pair(X3795,X3796),esk267_2(X3787,X3788))|(~element(X3792,powerset(the_carrier(X3787)))|(X3792!=esk264_2(X3787,X3788)|esk265_2(X3787,X3788)=subset_complement(the_carrier(X3787),X3792)))|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787)))))))&((element(esk268_4(X3787,X3788,X3798,X3799),powerset(the_carrier(X3787)))|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|(~element(X3792,powerset(the_carrier(X3787)))|(X3792!=esk264_2(X3787,X3788)|esk265_2(X3787,X3788)=subset_complement(the_carrier(X3787),X3792)))|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&((esk268_4(X3787,X3788,X3798,X3799)=X3798|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|(~element(X3792,powerset(the_carrier(X3787)))|(X3792!=esk264_2(X3787,X3788)|esk265_2(X3787,X3788)=subset_complement(the_carrier(X3787),X3792)))|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(X3799!=subset_complement(the_carrier(X3787),esk268_4(X3787,X3788,X3798,X3799))|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|(~element(X3792,powerset(the_carrier(X3787)))|(X3792!=esk264_2(X3787,X3788)|esk265_2(X3787,X3788)=subset_complement(the_carrier(X3787),X3792)))|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787)))))))))))&(((relation(esk267_2(X3787,X3788))|in(esk264_2(X3787,X3788),X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(function(esk267_2(X3787,X3788))|in(esk264_2(X3787,X3788),X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787)))))))&(((in(X3795,X3788)|~in(ordered_pair(X3795,X3796),esk267_2(X3787,X3788))|in(esk264_2(X3787,X3788),X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(~element(X3797,powerset(the_carrier(X3787)))|(X3797!=X3795|X3796=subset_complement(the_carrier(X3787),X3797))|~in(ordered_pair(X3795,X3796),esk267_2(X3787,X3788))|in(esk264_2(X3787,X3788),X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787)))))))&((element(esk268_4(X3787,X3788,X3798,X3799),powerset(the_carrier(X3787)))|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|in(esk264_2(X3787,X3788),X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&((esk268_4(X3787,X3788,X3798,X3799)=X3798|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|in(esk264_2(X3787,X3788),X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(X3799!=subset_complement(the_carrier(X3787),esk268_4(X3787,X3788,X3798,X3799))|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|in(esk264_2(X3787,X3788),X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787)))))))))))&(((relation(esk267_2(X3787,X3788))|(~element(X3793,powerset(the_carrier(X3787)))|(X3793!=esk264_2(X3787,X3788)|esk266_2(X3787,X3788)=subset_complement(the_carrier(X3787),X3793)))|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(function(esk267_2(X3787,X3788))|(~element(X3793,powerset(the_carrier(X3787)))|(X3793!=esk264_2(X3787,X3788)|esk266_2(X3787,X3788)=subset_complement(the_carrier(X3787),X3793)))|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787)))))))&(((in(X3795,X3788)|~in(ordered_pair(X3795,X3796),esk267_2(X3787,X3788))|(~element(X3793,powerset(the_carrier(X3787)))|(X3793!=esk264_2(X3787,X3788)|esk266_2(X3787,X3788)=subset_complement(the_carrier(X3787),X3793)))|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(~element(X3797,powerset(the_carrier(X3787)))|(X3797!=X3795|X3796=subset_complement(the_carrier(X3787),X3797))|~in(ordered_pair(X3795,X3796),esk267_2(X3787,X3788))|(~element(X3793,powerset(the_carrier(X3787)))|(X3793!=esk264_2(X3787,X3788)|esk266_2(X3787,X3788)=subset_complement(the_carrier(X3787),X3793)))|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787)))))))&((element(esk268_4(X3787,X3788,X3798,X3799),powerset(the_carrier(X3787)))|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|(~element(X3793,powerset(the_carrier(X3787)))|(X3793!=esk264_2(X3787,X3788)|esk266_2(X3787,X3788)=subset_complement(the_carrier(X3787),X3793)))|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&((esk268_4(X3787,X3788,X3798,X3799)=X3798|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|(~element(X3793,powerset(the_carrier(X3787)))|(X3793!=esk264_2(X3787,X3788)|esk266_2(X3787,X3788)=subset_complement(the_carrier(X3787),X3793)))|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(X3799!=subset_complement(the_carrier(X3787),esk268_4(X3787,X3788,X3798,X3799))|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|(~element(X3793,powerset(the_carrier(X3787)))|(X3793!=esk264_2(X3787,X3788)|esk266_2(X3787,X3788)=subset_complement(the_carrier(X3787),X3793)))|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787)))))))))))&(((relation(esk267_2(X3787,X3788))|esk265_2(X3787,X3788)!=esk266_2(X3787,X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(function(esk267_2(X3787,X3788))|esk265_2(X3787,X3788)!=esk266_2(X3787,X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787)))))))&(((in(X3795,X3788)|~in(ordered_pair(X3795,X3796),esk267_2(X3787,X3788))|esk265_2(X3787,X3788)!=esk266_2(X3787,X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(~element(X3797,powerset(the_carrier(X3787)))|(X3797!=X3795|X3796=subset_complement(the_carrier(X3787),X3797))|~in(ordered_pair(X3795,X3796),esk267_2(X3787,X3788))|esk265_2(X3787,X3788)!=esk266_2(X3787,X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787)))))))&((element(esk268_4(X3787,X3788,X3798,X3799),powerset(the_carrier(X3787)))|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|esk265_2(X3787,X3788)!=esk266_2(X3787,X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&((esk268_4(X3787,X3788,X3798,X3799)=X3798|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|esk265_2(X3787,X3788)!=esk266_2(X3787,X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))&(X3799!=subset_complement(the_carrier(X3787),esk268_4(X3787,X3788,X3798,X3799))|~in(X3798,X3788)|in(ordered_pair(X3798,X3799),esk267_2(X3787,X3788))|esk265_2(X3787,X3788)!=esk266_2(X3787,X3788)|(~one_sorted_str(X3787)|~element(X3788,powerset(powerset(the_carrier(X3787))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_845])])])])])])).
% 282.18/198.90 fof(i_0_923, lemma, ![X3817, X3818, X3819, X3821, X3822, X3823, X3824]:((relation(esk275_3(X3817,X3818,X3819))|(~relation(X3818)|~relation(X3819)|~function(X3819)))&((((in(X3821,X3817)|~in(ordered_pair(X3821,X3822),esk275_3(X3817,X3818,X3819))|(~relation(X3818)|~relation(X3819)|~function(X3819)))&(in(X3822,X3817)|~in(ordered_pair(X3821,X3822),esk275_3(X3817,X3818,X3819))|(~relation(X3818)|~relation(X3819)|~function(X3819))))&(in(ordered_pair(apply(X3819,X3821),apply(X3819,X3822)),X3818)|~in(ordered_pair(X3821,X3822),esk275_3(X3817,X3818,X3819))|(~relation(X3818)|~relation(X3819)|~function(X3819))))&(~in(X3823,X3817)|~in(X3824,X3817)|~in(ordered_pair(apply(X3819,X3823),apply(X3819,X3824)),X3818)|in(ordered_pair(X3823,X3824),esk275_3(X3817,X3818,X3819))|(~relation(X3818)|~relation(X3819)|~function(X3819))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_relat_1__e6_21__wellord2])])])])])])).
% 282.18/198.90 fof(i_0_924, plain, ![X1, X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>(![X3, X4, X5]:((((in(X3,complements_of_subsets(the_carrier(X1),X2))&![X6]:(element(X6,powerset(the_carrier(X1)))=>(X6=X3=>X4=subset_complement(the_carrier(X1),X6))))&in(X3,complements_of_subsets(the_carrier(X1),X2)))&![X7]:(element(X7,powerset(the_carrier(X1)))=>(X7=X3=>X5=subset_complement(the_carrier(X1),X7))))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:(in(X5,complements_of_subsets(the_carrier(X1),X2))&![X8]:(element(X8,powerset(the_carrier(X1)))=>(X8=X5=>X4=subset_complement(the_carrier(X1),X8))))))), inference(fof_simplification,[status(thm)],[s1_tarski__e4_7_1__tops_2__1])).
% 282.18/198.90 fof(i_0_925, plain, ![X3898, X3906, X3908, X3912, X3913, X3914, X3915]:((((((((in(esk324_3(X3898,X3906,X3908),cartesian_product2(X3898,X3906))|~in(X3908,esk323_2(X3898,X3906))|esk316_1(X3898)=esk317_1(X3898))&(esk324_3(X3898,X3906,X3908)=X3908|~in(X3908,esk323_2(X3898,X3906))|esk316_1(X3898)=esk317_1(X3898)))&(((ordered_pair(esk325_3(X3898,X3906,X3908),esk326_3(X3898,X3906,X3908))=X3908|~in(X3908,esk323_2(X3898,X3906))|esk316_1(X3898)=esk317_1(X3898))&(in(esk325_3(X3898,X3906,X3908),X3898)|~in(X3908,esk323_2(X3898,X3906))|esk316_1(X3898)=esk317_1(X3898)))&(esk326_3(X3898,X3906,X3908)=singleton(esk325_3(X3898,X3906,X3908))|~in(X3908,esk323_2(X3898,X3906))|esk316_1(X3898)=esk317_1(X3898))))&(~in(X3913,cartesian_product2(X3898,X3906))|X3913!=X3912|(ordered_pair(X3914,X3915)!=X3912|~in(X3914,X3898)|X3915!=singleton(X3914))|in(X3912,esk323_2(X3898,X3906))|esk316_1(X3898)=esk317_1(X3898)))&((((((in(esk324_3(X3898,X3906,X3908),cartesian_product2(X3898,X3906))|~in(X3908,esk323_2(X3898,X3906))|ordered_pair(esk319_1(X3898),esk320_1(X3898))=esk317_1(X3898))&(esk324_3(X3898,X3906,X3908)=X3908|~in(X3908,esk323_2(X3898,X3906))|ordered_pair(esk319_1(X3898),esk320_1(X3898))=esk317_1(X3898)))&(((ordered_pair(esk325_3(X3898,X3906,X3908),esk326_3(X3898,X3906,X3908))=X3908|~in(X3908,esk323_2(X3898,X3906))|ordered_pair(esk319_1(X3898),esk320_1(X3898))=esk317_1(X3898))&(in(esk325_3(X3898,X3906,X3908),X3898)|~in(X3908,esk323_2(X3898,X3906))|ordered_pair(esk319_1(X3898),esk320_1(X3898))=esk317_1(X3898)))&(esk326_3(X3898,X3906,X3908)=singleton(esk325_3(X3898,X3906,X3908))|~in(X3908,esk323_2(X3898,X3906))|ordered_pair(esk319_1(X3898),esk320_1(X3898))=esk317_1(X3898))))&(~in(X3913,cartesian_product2(X3898,X3906))|X3913!=X3912|(ordered_pair(X3914,X3915)!=X3912|~in(X3914,X3898)|X3915!=singleton(X3914))|in(X3912,esk323_2(X3898,X3906))|ordered_pair(esk319_1(X3898),esk320_1(X3898))=esk317_1(X3898)))&((((in(esk324_3(X3898,X3906,X3908),cartesian_product2(X3898,X3906))|~in(X3908,esk323_2(X3898,X3906))|in(esk319_1(X3898),X3898))&(esk324_3(X3898,X3906,X3908)=X3908|~in(X3908,esk323_2(X3898,X3906))|in(esk319_1(X3898),X3898)))&(((ordered_pair(esk325_3(X3898,X3906,X3908),esk326_3(X3898,X3906,X3908))=X3908|~in(X3908,esk323_2(X3898,X3906))|in(esk319_1(X3898),X3898))&(in(esk325_3(X3898,X3906,X3908),X3898)|~in(X3908,esk323_2(X3898,X3906))|in(esk319_1(X3898),X3898)))&(esk326_3(X3898,X3906,X3908)=singleton(esk325_3(X3898,X3906,X3908))|~in(X3908,esk323_2(X3898,X3906))|in(esk319_1(X3898),X3898))))&(~in(X3913,cartesian_product2(X3898,X3906))|X3913!=X3912|(ordered_pair(X3914,X3915)!=X3912|~in(X3914,X3898)|X3915!=singleton(X3914))|in(X3912,esk323_2(X3898,X3906))|in(esk319_1(X3898),X3898))))&((((in(esk324_3(X3898,X3906,X3908),cartesian_product2(X3898,X3906))|~in(X3908,esk323_2(X3898,X3906))|esk320_1(X3898)=singleton(esk319_1(X3898)))&(esk324_3(X3898,X3906,X3908)=X3908|~in(X3908,esk323_2(X3898,X3906))|esk320_1(X3898)=singleton(esk319_1(X3898))))&(((ordered_pair(esk325_3(X3898,X3906,X3908),esk326_3(X3898,X3906,X3908))=X3908|~in(X3908,esk323_2(X3898,X3906))|esk320_1(X3898)=singleton(esk319_1(X3898)))&(in(esk325_3(X3898,X3906,X3908),X3898)|~in(X3908,esk323_2(X3898,X3906))|esk320_1(X3898)=singleton(esk319_1(X3898))))&(esk326_3(X3898,X3906,X3908)=singleton(esk325_3(X3898,X3906,X3908))|~in(X3908,esk323_2(X3898,X3906))|esk320_1(X3898)=singleton(esk319_1(X3898)))))&(~in(X3913,cartesian_product2(X3898,X3906))|X3913!=X3912|(ordered_pair(X3914,X3915)!=X3912|~in(X3914,X3898)|X3915!=singleton(X3914))|in(X3912,esk323_2(X3898,X3906))|esk320_1(X3898)=singleton(esk319_1(X3898))))))&((((in(esk324_3(X3898,X3906,X3908),cartesian_product2(X3898,X3906))|~in(X3908,esk323_2(X3898,X3906))|esk316_1(X3898)=esk318_1(X3898))&(esk324_3(X3898,X3906,X3908)=X3908|~in(X3908,esk323_2(X3898,X3906))|esk316_1(X3898)=esk318_1(X3898)))&(((ordered_pair(esk325_3(X3898,X3906,X3908),esk326_3(X3898,X3906,X3908))=X3908|~in(X3908,esk323_2(X3898,X3906))|esk316_1(X3898)=esk318_1(X3898))&(in(esk325_3(X3898,X3906,X3908),X3898)|~in(X3908,esk323_2(X3898,X3906))|esk316_1(X3898)=esk318_1(X3898)))&(esk326_3(X3898,X3906,X3908)=singleton(esk325_3(X3898,X3906,X3908))|~in(X3908,esk323_2(X3898,X3906))|esk316_1(X3898)=esk318_1(X3898))))&(~in(X3913,cartesian_product2(X3898,X3906))|X3913!=X3912|(ordered_pair(X3914,X3915)!=X3912|~in(X3914,X3898)|X3915!=singleton(X3914))|in(X3912,esk323_2(X3898,X3906))|esk316_1(X3898)=esk318_1(X3898))))&((((((in(esk324_3(X3898,X3906,X3908),cartesian_product2(X3898,X3906))|~in(X3908,esk323_2(X3898,X3906))|ordered_pair(esk321_1(X3898),esk322_1(X3898))=esk318_1(X3898))&(esk324_3(X3898,X3906,X3908)=X3908|~in(X3908,esk323_2(X3898,X3906))|ordered_pair(esk321_1(X3898),esk322_1(X3898))=esk318_1(X3898)))&(((ordered_pair(esk325_3(X3898,X3906,X3908),esk326_3(X3898,X3906,X3908))=X3908|~in(X3908,esk323_2(X3898,X3906))|ordered_pair(esk321_1(X3898),esk322_1(X3898))=esk318_1(X3898))&(in(esk325_3(X3898,X3906,X3908),X3898)|~in(X3908,esk323_2(X3898,X3906))|ordered_pair(esk321_1(X3898),esk322_1(X3898))=esk318_1(X3898)))&(esk326_3(X3898,X3906,X3908)=singleton(esk325_3(X3898,X3906,X3908))|~in(X3908,esk323_2(X3898,X3906))|ordered_pair(esk321_1(X3898),esk322_1(X3898))=esk318_1(X3898))))&(~in(X3913,cartesian_product2(X3898,X3906))|X3913!=X3912|(ordered_pair(X3914,X3915)!=X3912|~in(X3914,X3898)|X3915!=singleton(X3914))|in(X3912,esk323_2(X3898,X3906))|ordered_pair(esk321_1(X3898),esk322_1(X3898))=esk318_1(X3898)))&((((in(esk324_3(X3898,X3906,X3908),cartesian_product2(X3898,X3906))|~in(X3908,esk323_2(X3898,X3906))|in(esk321_1(X3898),X3898))&(esk324_3(X3898,X3906,X3908)=X3908|~in(X3908,esk323_2(X3898,X3906))|in(esk321_1(X3898),X3898)))&(((ordered_pair(esk325_3(X3898,X3906,X3908),esk326_3(X3898,X3906,X3908))=X3908|~in(X3908,esk323_2(X3898,X3906))|in(esk321_1(X3898),X3898))&(in(esk325_3(X3898,X3906,X3908),X3898)|~in(X3908,esk323_2(X3898,X3906))|in(esk321_1(X3898),X3898)))&(esk326_3(X3898,X3906,X3908)=singleton(esk325_3(X3898,X3906,X3908))|~in(X3908,esk323_2(X3898,X3906))|in(esk321_1(X3898),X3898))))&(~in(X3913,cartesian_product2(X3898,X3906))|X3913!=X3912|(ordered_pair(X3914,X3915)!=X3912|~in(X3914,X3898)|X3915!=singleton(X3914))|in(X3912,esk323_2(X3898,X3906))|in(esk321_1(X3898),X3898))))&((((in(esk324_3(X3898,X3906,X3908),cartesian_product2(X3898,X3906))|~in(X3908,esk323_2(X3898,X3906))|esk322_1(X3898)=singleton(esk321_1(X3898)))&(esk324_3(X3898,X3906,X3908)=X3908|~in(X3908,esk323_2(X3898,X3906))|esk322_1(X3898)=singleton(esk321_1(X3898))))&(((ordered_pair(esk325_3(X3898,X3906,X3908),esk326_3(X3898,X3906,X3908))=X3908|~in(X3908,esk323_2(X3898,X3906))|esk322_1(X3898)=singleton(esk321_1(X3898)))&(in(esk325_3(X3898,X3906,X3908),X3898)|~in(X3908,esk323_2(X3898,X3906))|esk322_1(X3898)=singleton(esk321_1(X3898))))&(esk326_3(X3898,X3906,X3908)=singleton(esk325_3(X3898,X3906,X3908))|~in(X3908,esk323_2(X3898,X3906))|esk322_1(X3898)=singleton(esk321_1(X3898)))))&(~in(X3913,cartesian_product2(X3898,X3906))|X3913!=X3912|(ordered_pair(X3914,X3915)!=X3912|~in(X3914,X3898)|X3915!=singleton(X3914))|in(X3912,esk323_2(X3898,X3906))|esk322_1(X3898)=singleton(esk321_1(X3898))))))&((((in(esk324_3(X3898,X3906,X3908),cartesian_product2(X3898,X3906))|~in(X3908,esk323_2(X3898,X3906))|esk317_1(X3898)!=esk318_1(X3898))&(esk324_3(X3898,X3906,X3908)=X3908|~in(X3908,esk323_2(X3898,X3906))|esk317_1(X3898)!=esk318_1(X3898)))&(((ordered_pair(esk325_3(X3898,X3906,X3908),esk326_3(X3898,X3906,X3908))=X3908|~in(X3908,esk323_2(X3898,X3906))|esk317_1(X3898)!=esk318_1(X3898))&(in(esk325_3(X3898,X3906,X3908),X3898)|~in(X3908,esk323_2(X3898,X3906))|esk317_1(X3898)!=esk318_1(X3898)))&(esk326_3(X3898,X3906,X3908)=singleton(esk325_3(X3898,X3906,X3908))|~in(X3908,esk323_2(X3898,X3906))|esk317_1(X3898)!=esk318_1(X3898))))&(~in(X3913,cartesian_product2(X3898,X3906))|X3913!=X3912|(ordered_pair(X3914,X3915)!=X3912|~in(X3914,X3898)|X3915!=singleton(X3914))|in(X3912,esk323_2(X3898,X3906))|esk317_1(X3898)!=esk318_1(X3898)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e16_22__wellord2__2])])])])])])).
% 282.18/198.90 fof(i_0_926, plain, ![X1, X2, X3, X4]:((((((one_sorted_str(X1)&~empty(X2))&relation_of2(X3,X2,X2))&function(X4))&quasi_total(X4,X2,the_carrier(X1)))&relation_of2(X4,X2,the_carrier(X1)))=>(~empty_carrier(net_str_of(X1,X2,X3,X4))&strict_net_str(net_str_of(X1,X2,X3,X4),X1))), inference(fof_simplification,[status(thm)],[fc6_waybel_0])).
% 282.18/198.90 fof(i_0_927, plain, ![X1, X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>(![X3, X4, X5]:((((in(X3,X2)&![X6]:(element(X6,powerset(the_carrier(X1)))=>(X6=X3=>X4=subset_complement(the_carrier(X1),X6))))&in(X3,X2))&![X7]:(element(X7,powerset(the_carrier(X1)))=>(X7=X3=>X5=subset_complement(the_carrier(X1),X7))))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:(in(X5,X2)&![X8]:(element(X8,powerset(the_carrier(X1)))=>(X8=X5=>X4=subset_complement(the_carrier(X1),X8))))))), inference(fof_simplification,[status(thm)],[s1_tarski__e4_7_2__tops_2__1])).
% 282.18/198.90 fof(i_0_928, plain, ![X3916, X3921, X3924, X3926, X3927, X3928, X3929, X3931]:(((((in(esk331_2(X3916,X3921),succ(X3916))|~in(X3921,esk330_1(X3916))|epred2_3(esk329_1(X3916),esk328_1(X3916),esk327_1(X3916))|~ordinal(X3916))&(esk331_2(X3916,X3921)=X3921|~in(X3921,esk330_1(X3916))|epred2_3(esk329_1(X3916),esk328_1(X3916),esk327_1(X3916))|~ordinal(X3916)))&(((ordinal(esk332_2(X3916,X3921))|~in(X3921,esk330_1(X3916))|epred2_3(esk329_1(X3916),esk328_1(X3916),esk327_1(X3916))|~ordinal(X3916))&(X3921=esk332_2(X3916,X3921)|~in(X3921,esk330_1(X3916))|epred2_3(esk329_1(X3916),esk328_1(X3916),esk327_1(X3916))|~ordinal(X3916)))&((in(esk333_3(X3916,X3921,X3924),X3924)|X3924=empty_set|~element(X3924,powerset(powerset(esk332_2(X3916,X3921))))|~in(esk332_2(X3916,X3921),omega)|~in(X3921,esk330_1(X3916))|epred2_3(esk329_1(X3916),esk328_1(X3916),esk327_1(X3916))|~ordinal(X3916))&(~in(X3926,X3924)|~subset(esk333_3(X3916,X3921,X3924),X3926)|X3926=esk333_3(X3916,X3921,X3924)|X3924=empty_set|~element(X3924,powerset(powerset(esk332_2(X3916,X3921))))|~in(esk332_2(X3916,X3921),omega)|~in(X3921,esk330_1(X3916))|epred2_3(esk329_1(X3916),esk328_1(X3916),esk327_1(X3916))|~ordinal(X3916)))))&((in(X3929,omega)|(~ordinal(X3929)|X3927!=X3929)|(~in(X3928,succ(X3916))|X3928!=X3927)|in(X3927,esk330_1(X3916))|epred2_3(esk329_1(X3916),esk328_1(X3916),esk327_1(X3916))|~ordinal(X3916))&((element(esk334_3(X3916,X3927,X3929),powerset(powerset(X3929)))|(~ordinal(X3929)|X3927!=X3929)|(~in(X3928,succ(X3916))|X3928!=X3927)|in(X3927,esk330_1(X3916))|epred2_3(esk329_1(X3916),esk328_1(X3916),esk327_1(X3916))|~ordinal(X3916))&((esk334_3(X3916,X3927,X3929)!=empty_set|(~ordinal(X3929)|X3927!=X3929)|(~in(X3928,succ(X3916))|X3928!=X3927)|in(X3927,esk330_1(X3916))|epred2_3(esk329_1(X3916),esk328_1(X3916),esk327_1(X3916))|~ordinal(X3916))&(((in(esk335_4(X3916,X3927,X3929,X3931),esk334_3(X3916,X3927,X3929))|~in(X3931,esk334_3(X3916,X3927,X3929))|(~ordinal(X3929)|X3927!=X3929)|(~in(X3928,succ(X3916))|X3928!=X3927)|in(X3927,esk330_1(X3916))|epred2_3(esk329_1(X3916),esk328_1(X3916),esk327_1(X3916))|~ordinal(X3916))&(subset(X3931,esk335_4(X3916,X3927,X3929,X3931))|~in(X3931,esk334_3(X3916,X3927,X3929))|(~ordinal(X3929)|X3927!=X3929)|(~in(X3928,succ(X3916))|X3928!=X3927)|in(X3927,esk330_1(X3916))|epred2_3(esk329_1(X3916),esk328_1(X3916),esk327_1(X3916))|~ordinal(X3916)))&(esk335_4(X3916,X3927,X3929,X3931)!=X3931|~in(X3931,esk334_3(X3916,X3927,X3929))|(~ordinal(X3929)|X3927!=X3929)|(~in(X3928,succ(X3916))|X3928!=X3927)|in(X3927,esk330_1(X3916))|epred2_3(esk329_1(X3916),esk328_1(X3916),esk327_1(X3916))|~ordinal(X3916)))))))&((((in(esk331_2(X3916,X3921),succ(X3916))|~in(X3921,esk330_1(X3916))|esk328_1(X3916)!=esk329_1(X3916)|~ordinal(X3916))&(esk331_2(X3916,X3921)=X3921|~in(X3921,esk330_1(X3916))|esk328_1(X3916)!=esk329_1(X3916)|~ordinal(X3916)))&(((ordinal(esk332_2(X3916,X3921))|~in(X3921,esk330_1(X3916))|esk328_1(X3916)!=esk329_1(X3916)|~ordinal(X3916))&(X3921=esk332_2(X3916,X3921)|~in(X3921,esk330_1(X3916))|esk328_1(X3916)!=esk329_1(X3916)|~ordinal(X3916)))&((in(esk333_3(X3916,X3921,X3924),X3924)|X3924=empty_set|~element(X3924,powerset(powerset(esk332_2(X3916,X3921))))|~in(esk332_2(X3916,X3921),omega)|~in(X3921,esk330_1(X3916))|esk328_1(X3916)!=esk329_1(X3916)|~ordinal(X3916))&(~in(X3926,X3924)|~subset(esk333_3(X3916,X3921,X3924),X3926)|X3926=esk333_3(X3916,X3921,X3924)|X3924=empty_set|~element(X3924,powerset(powerset(esk332_2(X3916,X3921))))|~in(esk332_2(X3916,X3921),omega)|~in(X3921,esk330_1(X3916))|esk328_1(X3916)!=esk329_1(X3916)|~ordinal(X3916)))))&((in(X3929,omega)|(~ordinal(X3929)|X3927!=X3929)|(~in(X3928,succ(X3916))|X3928!=X3927)|in(X3927,esk330_1(X3916))|esk328_1(X3916)!=esk329_1(X3916)|~ordinal(X3916))&((element(esk334_3(X3916,X3927,X3929),powerset(powerset(X3929)))|(~ordinal(X3929)|X3927!=X3929)|(~in(X3928,succ(X3916))|X3928!=X3927)|in(X3927,esk330_1(X3916))|esk328_1(X3916)!=esk329_1(X3916)|~ordinal(X3916))&((esk334_3(X3916,X3927,X3929)!=empty_set|(~ordinal(X3929)|X3927!=X3929)|(~in(X3928,succ(X3916))|X3928!=X3927)|in(X3927,esk330_1(X3916))|esk328_1(X3916)!=esk329_1(X3916)|~ordinal(X3916))&(((in(esk335_4(X3916,X3927,X3929,X3931),esk334_3(X3916,X3927,X3929))|~in(X3931,esk334_3(X3916,X3927,X3929))|(~ordinal(X3929)|X3927!=X3929)|(~in(X3928,succ(X3916))|X3928!=X3927)|in(X3927,esk330_1(X3916))|esk328_1(X3916)!=esk329_1(X3916)|~ordinal(X3916))&(subset(X3931,esk335_4(X3916,X3927,X3929,X3931))|~in(X3931,esk334_3(X3916,X3927,X3929))|(~ordinal(X3929)|X3927!=X3929)|(~in(X3928,succ(X3916))|X3928!=X3927)|in(X3927,esk330_1(X3916))|esk328_1(X3916)!=esk329_1(X3916)|~ordinal(X3916)))&(esk335_4(X3916,X3927,X3929,X3931)!=X3931|~in(X3931,esk334_3(X3916,X3927,X3929))|(~ordinal(X3929)|X3927!=X3929)|(~in(X3928,succ(X3916))|X3928!=X3927)|in(X3927,esk330_1(X3916))|esk328_1(X3916)!=esk329_1(X3916)|~ordinal(X3916)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_846])])])])])])).
% 282.18/198.90 cnf(i_0_929, plain, (succ(X1)=set_union2(X1,singleton(X1))), inference(split_conjunct,[status(thm)],[i_0_847])).
% 282.18/198.90 fof(i_0_930, plain, ![X1]:(((~empty_carrier(X1)&topological_space(X1))&top_str(X1))=>![X2]:((((~empty_carrier(X2)&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(element(X3,powerset(the_carrier(X1)))=>(X3=lim_points_of_net(X1,X2)<=>![X4]:(element(X4,the_carrier(X1))=>(in(X4,X3)<=>![X5]:(point_neighbourhood(X5,X1,X4)=>is_eventually_in(X1,X2,X5)))))))), inference(fof_simplification,[status(thm)],[d18_yellow_6])).
% 282.18/198.90 fof(i_0_931, plain, ![X2684, X2685, X2686, X2687]:(((relation_field(X2685)=X2684|X2685!=inclusion_relation(X2684)|~relation(X2685))&((~in(ordered_pair(X2686,X2687),X2685)|subset(X2686,X2687)|(~in(X2686,X2684)|~in(X2687,X2684))|X2685!=inclusion_relation(X2684)|~relation(X2685))&(~subset(X2686,X2687)|in(ordered_pair(X2686,X2687),X2685)|(~in(X2686,X2684)|~in(X2687,X2684))|X2685!=inclusion_relation(X2684)|~relation(X2685))))&(((in(esk62_2(X2684,X2685),X2684)|relation_field(X2685)!=X2684|X2685=inclusion_relation(X2684)|~relation(X2685))&(in(esk63_2(X2684,X2685),X2684)|relation_field(X2685)!=X2684|X2685=inclusion_relation(X2684)|~relation(X2685)))&((~in(ordered_pair(esk62_2(X2684,X2685),esk63_2(X2684,X2685)),X2685)|~subset(esk62_2(X2684,X2685),esk63_2(X2684,X2685))|relation_field(X2685)!=X2684|X2685=inclusion_relation(X2684)|~relation(X2685))&(in(ordered_pair(esk62_2(X2684,X2685),esk63_2(X2684,X2685)),X2685)|subset(esk62_2(X2684,X2685),esk63_2(X2684,X2685))|relation_field(X2685)!=X2684|X2685=inclusion_relation(X2684)|~relation(X2685))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_wellord2])])])])])).
% 282.18/198.90 cnf(i_0_932, lemma, (the_InternalRel(incl_POSet(X1))=inclusion_order(X1)), inference(split_conjunct,[status(thm)],[i_0_848])).
% 282.18/198.90 cnf(i_0_933, plain, (inclusion_order(X1)=inclusion_relation(X1)), inference(split_conjunct,[status(thm)],[i_0_849])).
% 282.18/198.90 fof(i_0_934, plain, ![X2411, X2412, X2413, X2414, X2415, X2416]:((((in(X2413,X2411)|~in(ordered_pair(X2413,X2414),X2412)|X2412!=identity_relation(X2411)|~relation(X2412))&(X2413=X2414|~in(ordered_pair(X2413,X2414),X2412)|X2412!=identity_relation(X2411)|~relation(X2412)))&(~in(X2415,X2411)|X2415!=X2416|in(ordered_pair(X2415,X2416),X2412)|X2412!=identity_relation(X2411)|~relation(X2412)))&((~in(ordered_pair(esk1_2(X2411,X2412),esk2_2(X2411,X2412)),X2412)|(~in(esk1_2(X2411,X2412),X2411)|esk1_2(X2411,X2412)!=esk2_2(X2411,X2412))|X2412=identity_relation(X2411)|~relation(X2412))&((in(esk1_2(X2411,X2412),X2411)|in(ordered_pair(esk1_2(X2411,X2412),esk2_2(X2411,X2412)),X2412)|X2412=identity_relation(X2411)|~relation(X2412))&(esk1_2(X2411,X2412)=esk2_2(X2411,X2412)|in(ordered_pair(esk1_2(X2411,X2412),esk2_2(X2411,X2412)),X2412)|X2412=identity_relation(X2411)|~relation(X2412))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_relat_1])])])])])])).
% 282.18/198.90 fof(i_0_935, lemma, ![X4131, X4133, X4135, X4137, X4138, X4139, X4141]:(((in(X4133,succ(X4131))|~in(X4133,esk433_1(X4131))|~ordinal(X4131))&(((ordinal(esk434_2(X4131,X4133))|~in(X4133,esk433_1(X4131))|~ordinal(X4131))&(X4133=esk434_2(X4131,X4133)|~in(X4133,esk433_1(X4131))|~ordinal(X4131)))&((in(esk435_3(X4131,X4133,X4135),X4135)|X4135=empty_set|~element(X4135,powerset(powerset(esk434_2(X4131,X4133))))|~in(esk434_2(X4131,X4133),omega)|~in(X4133,esk433_1(X4131))|~ordinal(X4131))&(~in(X4137,X4135)|~subset(esk435_3(X4131,X4133,X4135),X4137)|X4137=esk435_3(X4131,X4133,X4135)|X4135=empty_set|~element(X4135,powerset(powerset(esk434_2(X4131,X4133))))|~in(esk434_2(X4131,X4133),omega)|~in(X4133,esk433_1(X4131))|~ordinal(X4131)))))&((in(X4139,omega)|(~ordinal(X4139)|X4138!=X4139)|~in(X4138,succ(X4131))|in(X4138,esk433_1(X4131))|~ordinal(X4131))&((element(esk436_3(X4131,X4138,X4139),powerset(powerset(X4139)))|(~ordinal(X4139)|X4138!=X4139)|~in(X4138,succ(X4131))|in(X4138,esk433_1(X4131))|~ordinal(X4131))&((esk436_3(X4131,X4138,X4139)!=empty_set|(~ordinal(X4139)|X4138!=X4139)|~in(X4138,succ(X4131))|in(X4138,esk433_1(X4131))|~ordinal(X4131))&(((in(esk437_4(X4131,X4138,X4139,X4141),esk436_3(X4131,X4138,X4139))|~in(X4141,esk436_3(X4131,X4138,X4139))|(~ordinal(X4139)|X4138!=X4139)|~in(X4138,succ(X4131))|in(X4138,esk433_1(X4131))|~ordinal(X4131))&(subset(X4141,esk437_4(X4131,X4138,X4139,X4141))|~in(X4141,esk436_3(X4131,X4138,X4139))|(~ordinal(X4139)|X4138!=X4139)|~in(X4138,succ(X4131))|in(X4138,esk433_1(X4131))|~ordinal(X4131)))&(esk437_4(X4131,X4138,X4139,X4141)!=X4141|~in(X4141,esk436_3(X4131,X4138,X4139))|(~ordinal(X4139)|X4138!=X4139)|~in(X4138,succ(X4131))|in(X4138,esk433_1(X4131))|~ordinal(X4131))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_xboole_0__e18_27__finset_1__1])])])])])])).
% 282.18/198.90 fof(i_0_936, lemma, ![X4122, X4123, X4125, X4128, X4129, X4130]:(((in(X4125,cartesian_product2(X4122,X4123))|~in(X4125,esk430_2(X4122,X4123)))&(((ordered_pair(esk431_3(X4122,X4123,X4125),esk432_3(X4122,X4123,X4125))=X4125|~in(X4125,esk430_2(X4122,X4123)))&(in(esk431_3(X4122,X4123,X4125),X4122)|~in(X4125,esk430_2(X4122,X4123))))&(esk432_3(X4122,X4123,X4125)=singleton(esk431_3(X4122,X4123,X4125))|~in(X4125,esk430_2(X4122,X4123)))))&(~in(X4128,cartesian_product2(X4122,X4123))|(ordered_pair(X4129,X4130)!=X4128|~in(X4129,X4122)|X4130!=singleton(X4129))|in(X4128,esk430_2(X4122,X4123)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_xboole_0__e16_22__wellord2__1])])])])])])).
% 282.18/198.90 fof(i_0_937, lemma, ![X1]:(((~empty_carrier(X1)&lattice(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>(in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1))<=>below_refl(X1,X2,X3))))), inference(fof_simplification,[status(thm)],[t32_filter_1])).
% 282.18/198.90 fof(i_0_938, plain, ![X2818, X2819, X2820, X2821]:((~subset(X2818,X2819)|(~in(ordered_pair(X2820,X2821),X2818)|in(ordered_pair(X2820,X2821),X2819))|~relation(X2819)|~relation(X2818))&((in(ordered_pair(esk92_2(X2818,X2819),esk93_2(X2818,X2819)),X2818)|subset(X2818,X2819)|~relation(X2819)|~relation(X2818))&(~in(ordered_pair(esk92_2(X2818,X2819),esk93_2(X2818,X2819)),X2819)|subset(X2818,X2819)|~relation(X2819)|~relation(X2818)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_relat_1])])])])])).
% 282.18/198.90 fof(i_0_939, plain, ![X2633, X2634, X2635, X2636]:((~is_reflexive_in(X2633,X2634)|(~in(X2635,X2634)|in(ordered_pair(X2635,X2635),X2633))|~relation(X2633))&((in(esk52_2(X2633,X2636),X2636)|is_reflexive_in(X2633,X2636)|~relation(X2633))&(~in(ordered_pair(esk52_2(X2633,X2636),esk52_2(X2633,X2636)),X2633)|is_reflexive_in(X2633,X2636)|~relation(X2633)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relat_2])])])])])])).
% 282.18/198.90 fof(i_0_940, plain, ![X3026, X3027, X3028, X3029, X3030, X3031]:((~is_transitive_in(X3026,X3027)|(~in(X3028,X3027)|~in(X3029,X3027)|~in(X3030,X3027)|~in(ordered_pair(X3028,X3029),X3026)|~in(ordered_pair(X3029,X3030),X3026)|in(ordered_pair(X3028,X3030),X3026))|~relation(X3026))&((((((in(esk141_2(X3026,X3031),X3031)|is_transitive_in(X3026,X3031)|~relation(X3026))&(in(esk142_2(X3026,X3031),X3031)|is_transitive_in(X3026,X3031)|~relation(X3026)))&(in(esk143_2(X3026,X3031),X3031)|is_transitive_in(X3026,X3031)|~relation(X3026)))&(in(ordered_pair(esk141_2(X3026,X3031),esk142_2(X3026,X3031)),X3026)|is_transitive_in(X3026,X3031)|~relation(X3026)))&(in(ordered_pair(esk142_2(X3026,X3031),esk143_2(X3026,X3031)),X3026)|is_transitive_in(X3026,X3031)|~relation(X3026)))&(~in(ordered_pair(esk141_2(X3026,X3031),esk143_2(X3026,X3031)),X3026)|is_transitive_in(X3026,X3031)|~relation(X3026)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_relat_2])])])])])])).
% 282.18/198.90 fof(i_0_941, plain, ![X2945, X2946, X2947, X2948, X2949]:((~is_connected_in(X2945,X2946)|(~in(X2947,X2946)|~in(X2948,X2946)|X2947=X2948|in(ordered_pair(X2947,X2948),X2945)|in(ordered_pair(X2948,X2947),X2945))|~relation(X2945))&(((((in(esk119_2(X2945,X2949),X2949)|is_connected_in(X2945,X2949)|~relation(X2945))&(in(esk120_2(X2945,X2949),X2949)|is_connected_in(X2945,X2949)|~relation(X2945)))&(esk119_2(X2945,X2949)!=esk120_2(X2945,X2949)|is_connected_in(X2945,X2949)|~relation(X2945)))&(~in(ordered_pair(esk119_2(X2945,X2949),esk120_2(X2945,X2949)),X2945)|is_connected_in(X2945,X2949)|~relation(X2945)))&(~in(ordered_pair(esk120_2(X2945,X2949),esk119_2(X2945,X2949)),X2945)|is_connected_in(X2945,X2949)|~relation(X2945)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_850])])])])])])).
% 282.18/198.90 fof(i_0_942, plain, ![X3957, X3958, X3965, X3968, X3969, X3970]:((((((((in(esk355_3(X3957,X3958,X3965),powerset(X3957))|~in(X3965,esk354_2(X3957,X3958))|esk349_2(X3957,X3958)=esk350_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))&(esk355_3(X3957,X3958,X3965)=X3965|~in(X3965,esk354_2(X3957,X3958))|esk349_2(X3957,X3958)=esk350_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957)))))))&((in(esk356_3(X3957,X3958,X3965),X3958)|~in(X3965,esk354_2(X3957,X3958))|esk349_2(X3957,X3958)=esk350_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))&(X3965=set_difference(esk356_3(X3957,X3958,X3965),singleton(X3957))|~in(X3965,esk354_2(X3957,X3958))|esk349_2(X3957,X3958)=esk350_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))))&(~in(X3969,powerset(X3957))|X3969!=X3968|(~in(X3970,X3958)|X3968!=set_difference(X3970,singleton(X3957)))|in(X3968,esk354_2(X3957,X3958))|esk349_2(X3957,X3958)=esk350_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957)))))))&(((((in(esk355_3(X3957,X3958,X3965),powerset(X3957))|~in(X3965,esk354_2(X3957,X3958))|in(esk352_2(X3957,X3958),X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))&(esk355_3(X3957,X3958,X3965)=X3965|~in(X3965,esk354_2(X3957,X3958))|in(esk352_2(X3957,X3958),X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957)))))))&((in(esk356_3(X3957,X3958,X3965),X3958)|~in(X3965,esk354_2(X3957,X3958))|in(esk352_2(X3957,X3958),X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))&(X3965=set_difference(esk356_3(X3957,X3958,X3965),singleton(X3957))|~in(X3965,esk354_2(X3957,X3958))|in(esk352_2(X3957,X3958),X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))))&(~in(X3969,powerset(X3957))|X3969!=X3968|(~in(X3970,X3958)|X3968!=set_difference(X3970,singleton(X3957)))|in(X3968,esk354_2(X3957,X3958))|in(esk352_2(X3957,X3958),X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957)))))))&((((in(esk355_3(X3957,X3958,X3965),powerset(X3957))|~in(X3965,esk354_2(X3957,X3958))|esk350_2(X3957,X3958)=set_difference(esk352_2(X3957,X3958),singleton(X3957))|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))&(esk355_3(X3957,X3958,X3965)=X3965|~in(X3965,esk354_2(X3957,X3958))|esk350_2(X3957,X3958)=set_difference(esk352_2(X3957,X3958),singleton(X3957))|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957)))))))&((in(esk356_3(X3957,X3958,X3965),X3958)|~in(X3965,esk354_2(X3957,X3958))|esk350_2(X3957,X3958)=set_difference(esk352_2(X3957,X3958),singleton(X3957))|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))&(X3965=set_difference(esk356_3(X3957,X3958,X3965),singleton(X3957))|~in(X3965,esk354_2(X3957,X3958))|esk350_2(X3957,X3958)=set_difference(esk352_2(X3957,X3958),singleton(X3957))|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))))&(~in(X3969,powerset(X3957))|X3969!=X3968|(~in(X3970,X3958)|X3968!=set_difference(X3970,singleton(X3957)))|in(X3968,esk354_2(X3957,X3958))|esk350_2(X3957,X3958)=set_difference(esk352_2(X3957,X3958),singleton(X3957))|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957)))))))))&((((in(esk355_3(X3957,X3958,X3965),powerset(X3957))|~in(X3965,esk354_2(X3957,X3958))|esk349_2(X3957,X3958)=esk351_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))&(esk355_3(X3957,X3958,X3965)=X3965|~in(X3965,esk354_2(X3957,X3958))|esk349_2(X3957,X3958)=esk351_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957)))))))&((in(esk356_3(X3957,X3958,X3965),X3958)|~in(X3965,esk354_2(X3957,X3958))|esk349_2(X3957,X3958)=esk351_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))&(X3965=set_difference(esk356_3(X3957,X3958,X3965),singleton(X3957))|~in(X3965,esk354_2(X3957,X3958))|esk349_2(X3957,X3958)=esk351_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))))&(~in(X3969,powerset(X3957))|X3969!=X3968|(~in(X3970,X3958)|X3968!=set_difference(X3970,singleton(X3957)))|in(X3968,esk354_2(X3957,X3958))|esk349_2(X3957,X3958)=esk351_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))))&(((((in(esk355_3(X3957,X3958,X3965),powerset(X3957))|~in(X3965,esk354_2(X3957,X3958))|in(esk353_2(X3957,X3958),X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))&(esk355_3(X3957,X3958,X3965)=X3965|~in(X3965,esk354_2(X3957,X3958))|in(esk353_2(X3957,X3958),X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957)))))))&((in(esk356_3(X3957,X3958,X3965),X3958)|~in(X3965,esk354_2(X3957,X3958))|in(esk353_2(X3957,X3958),X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))&(X3965=set_difference(esk356_3(X3957,X3958,X3965),singleton(X3957))|~in(X3965,esk354_2(X3957,X3958))|in(esk353_2(X3957,X3958),X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))))&(~in(X3969,powerset(X3957))|X3969!=X3968|(~in(X3970,X3958)|X3968!=set_difference(X3970,singleton(X3957)))|in(X3968,esk354_2(X3957,X3958))|in(esk353_2(X3957,X3958),X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957)))))))&((((in(esk355_3(X3957,X3958,X3965),powerset(X3957))|~in(X3965,esk354_2(X3957,X3958))|esk351_2(X3957,X3958)=set_difference(esk353_2(X3957,X3958),singleton(X3957))|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))&(esk355_3(X3957,X3958,X3965)=X3965|~in(X3965,esk354_2(X3957,X3958))|esk351_2(X3957,X3958)=set_difference(esk353_2(X3957,X3958),singleton(X3957))|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957)))))))&((in(esk356_3(X3957,X3958,X3965),X3958)|~in(X3965,esk354_2(X3957,X3958))|esk351_2(X3957,X3958)=set_difference(esk353_2(X3957,X3958),singleton(X3957))|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))&(X3965=set_difference(esk356_3(X3957,X3958,X3965),singleton(X3957))|~in(X3965,esk354_2(X3957,X3958))|esk351_2(X3957,X3958)=set_difference(esk353_2(X3957,X3958),singleton(X3957))|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))))&(~in(X3969,powerset(X3957))|X3969!=X3968|(~in(X3970,X3958)|X3968!=set_difference(X3970,singleton(X3957)))|in(X3968,esk354_2(X3957,X3958))|esk351_2(X3957,X3958)=set_difference(esk353_2(X3957,X3958),singleton(X3957))|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957)))))))))&((((in(esk355_3(X3957,X3958,X3965),powerset(X3957))|~in(X3965,esk354_2(X3957,X3958))|esk350_2(X3957,X3958)!=esk351_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))&(esk355_3(X3957,X3958,X3965)=X3965|~in(X3965,esk354_2(X3957,X3958))|esk350_2(X3957,X3958)!=esk351_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957)))))))&((in(esk356_3(X3957,X3958,X3965),X3958)|~in(X3965,esk354_2(X3957,X3958))|esk350_2(X3957,X3958)!=esk351_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))&(X3965=set_difference(esk356_3(X3957,X3958,X3965),singleton(X3957))|~in(X3965,esk354_2(X3957,X3958))|esk350_2(X3957,X3958)!=esk351_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957))))))))&(~in(X3969,powerset(X3957))|X3969!=X3968|(~in(X3970,X3958)|X3968!=set_difference(X3970,singleton(X3957)))|in(X3968,esk354_2(X3957,X3958))|esk350_2(X3957,X3958)!=esk351_2(X3957,X3958)|(~ordinal(X3957)|~element(X3958,powerset(powerset(succ(X3957)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e4_27_3_1__finset_1__1])])])])])])).
% 282.18/198.90 fof(i_0_943, plain, ![X1, X2, X3, X4]:(((((~empty_carrier(X2)&one_sorted_str(X2))&~empty_carrier(X3))&net_str(X3,X2))&element(X4,the_carrier(X3)))=>(in(X1,a_3_0_waybel_9(X2,X3,X4))<=>?[X5]:((element(X5,the_carrier(X3))&X1=X5)&related(X3,X4,X5)))), inference(fof_simplification,[status(thm)],[fraenkel_a_3_0_waybel_9])).
% 282.18/198.90 fof(i_0_944, plain, ![X2852, X2853, X2854, X2856, X2857, X2858, X2860]:(((~in(X2854,X2853)|in(ordered_pair(X2854,esk98_3(X2852,X2853,X2854)),X2852)|X2853!=relation_dom(X2852)|~relation(X2852))&(~in(ordered_pair(X2856,X2857),X2852)|in(X2856,X2853)|X2853!=relation_dom(X2852)|~relation(X2852)))&((~in(esk99_2(X2852,X2858),X2858)|~in(ordered_pair(esk99_2(X2852,X2858),X2860),X2852)|X2858=relation_dom(X2852)|~relation(X2852))&(in(esk99_2(X2852,X2858),X2858)|in(ordered_pair(esk99_2(X2852,X2858),esk100_2(X2852,X2858)),X2852)|X2858=relation_dom(X2852)|~relation(X2852)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relat_1])])])])])])).
% 282.18/198.90 fof(i_0_945, plain, ![X1, X2, X3, X4]:((((((((~empty_carrier(X1)&one_sorted_str(X1))&~empty_carrier(X2))&one_sorted_str(X2))&function(X3))&quasi_total(X3,the_carrier(X1),the_carrier(X2)))&relation_of2(X3,the_carrier(X1),the_carrier(X2)))&element(X4,the_carrier(X1)))=>element(apply_on_structs(X1,X2,X3,X4),the_carrier(X2))), inference(fof_simplification,[status(thm)],[dt_k1_waybel_0])).
% 282.28/198.90 fof(i_0_946, lemma, ![X4155, X4156, X4158, X4160, X4161]:(((in(X4158,powerset(X4155))|~in(X4158,esk441_2(X4155,X4156))|(~ordinal(X4155)|~element(X4156,powerset(powerset(succ(X4155))))))&((in(esk442_3(X4155,X4156,X4158),X4156)|~in(X4158,esk441_2(X4155,X4156))|(~ordinal(X4155)|~element(X4156,powerset(powerset(succ(X4155))))))&(X4158=set_difference(esk442_3(X4155,X4156,X4158),singleton(X4155))|~in(X4158,esk441_2(X4155,X4156))|(~ordinal(X4155)|~element(X4156,powerset(powerset(succ(X4155))))))))&(~in(X4160,powerset(X4155))|(~in(X4161,X4156)|X4160!=set_difference(X4161,singleton(X4155)))|in(X4160,esk441_2(X4155,X4156))|(~ordinal(X4155)|~element(X4156,powerset(powerset(succ(X4155))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_xboole_0__e4_27_3_1__finset_1])])])])])])).
% 282.28/198.90 fof(i_0_947, plain, ![X1, X2, X3, X4]:(((((((~empty(X1)&~empty_carrier(X2))&one_sorted_str(X2))&function(X3))&quasi_total(X3,X1,the_carrier(X2)))&relation_of2(X3,X1,the_carrier(X2)))&element(X4,X1))=>element(apply_on_set_and_struct2(X1,X2,X3,X4),the_carrier(X2))), inference(fof_simplification,[status(thm)],[dt_k7_yellow_2])).
% 282.28/198.90 fof(i_0_948, plain, ![X1, X2, X3, X4]:(((((((~empty(X1)&~empty_carrier(X2))&rel_str(X2))&function(X3))&quasi_total(X3,X1,the_carrier(X2)))&relation_of2(X3,X1,the_carrier(X2)))&element(X4,X1))=>element(apply_on_set_and_struct(X1,X2,X3,X4),the_carrier(X2))), inference(fof_simplification,[status(thm)],[dt_k3_yellow_6])).
% 282.28/198.90 fof(i_0_949, plain, ![X1, X2, X3, X4]:(((((~empty(X1)&function(X3))&quasi_total(X3,X1,X2))&relation_of2(X3,X1,X2))&element(X4,X1))=>element(apply_as_element(X1,X2,X3,X4),X2)), inference(fof_simplification,[status(thm)],[dt_k8_funct_2])).
% 282.28/198.90 fof(i_0_950, plain, ![X1, X2, X3]:(((((((~empty(X1)&function(X2))&quasi_total(X2,cartesian_product2(X1,X1),X1))&relation_of2(X2,cartesian_product2(X1,X1),X1))&function(X3))&quasi_total(X3,cartesian_product2(X1,X1),X1))&relation_of2(X3,cartesian_product2(X1,X1),X1))=>(~empty_carrier(latt_str_of(X1,X2,X3))&strict_latt_str(latt_str_of(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[fc3_lattices])).
% 282.28/198.90 fof(i_0_951, lemma, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:(((~empty_carrier(X2)&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>![X4]:(element(X4,the_carrier(X2))=>![X5]:(element(X5,the_carrier(netstr_restr_to_element(X1,X2,X3)))=>(X4=X5=>apply_netmap(X1,X2,X4)=apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X5))))))), inference(fof_simplification,[status(thm)],[t16_waybel_9])).
% 282.28/198.90 fof(i_0_952, plain, ![X1, X2, X3, X4]:((((((((~empty_carrier(X1)&lattice(X1))&latt_str(X1))&~empty_carrier(X2))&lattice(X2))&latt_str(X2))&element(X3,the_carrier(X1)))&element(X4,the_carrier(X2)))=>element(k10_filter_1(X1,X2,X3,X4),the_carrier(k8_filter_1(X1,X2)))), inference(fof_simplification,[status(thm)],[dt_k10_filter_1])).
% 282.28/198.90 fof(i_0_953, lemma, ![X4399, X4400, X4401, X4403]:((((in(esk504_3(X4399,X4400,X4401),relation_rng(X4401))|~in(X4399,relation_inverse_image(X4401,X4400))|~relation(X4401))&(in(ordered_pair(X4399,esk504_3(X4399,X4400,X4401)),X4401)|~in(X4399,relation_inverse_image(X4401,X4400))|~relation(X4401)))&(in(esk504_3(X4399,X4400,X4401),X4400)|~in(X4399,relation_inverse_image(X4401,X4400))|~relation(X4401)))&(~in(X4403,relation_rng(X4401))|~in(ordered_pair(X4399,X4403),X4401)|~in(X4403,X4400)|in(X4399,relation_inverse_image(X4401,X4400))|~relation(X4401))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t166_relat_1])])])])])).
% 282.28/198.90 fof(i_0_954, plain, ![X2837, X2838, X2839, X2840, X2841, X2842, X2843, X2844]:((((in(X2840,X2837)|~in(X2840,X2839)|X2839!=set_intersection2(X2837,X2838))&(in(X2840,X2838)|~in(X2840,X2839)|X2839!=set_intersection2(X2837,X2838)))&(~in(X2841,X2837)|~in(X2841,X2838)|in(X2841,X2839)|X2839!=set_intersection2(X2837,X2838)))&((~in(esk97_3(X2842,X2843,X2844),X2844)|(~in(esk97_3(X2842,X2843,X2844),X2842)|~in(esk97_3(X2842,X2843,X2844),X2843))|X2844=set_intersection2(X2842,X2843))&((in(esk97_3(X2842,X2843,X2844),X2842)|in(esk97_3(X2842,X2843,X2844),X2844)|X2844=set_intersection2(X2842,X2843))&(in(esk97_3(X2842,X2843,X2844),X2843)|in(esk97_3(X2842,X2843,X2844),X2844)|X2844=set_intersection2(X2842,X2843))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_xboole_0])])])])])])).
% 282.28/198.90 fof(i_0_955, lemma, ![X4751, X4752]:set_difference(X4751,set_difference(X4751,X4752))=set_intersection2(X4751,X4752), inference(variable_rename,[status(thm)],[t48_xboole_1])).
% 282.28/198.90 fof(i_0_956, lemma, ![X3501, X3502, X3503, X3504]:((~transitive(X3501)|(~in(ordered_pair(X3502,X3503),X3501)|~in(ordered_pair(X3503,X3504),X3501)|in(ordered_pair(X3502,X3504),X3501))|~relation(X3501))&(((in(ordered_pair(esk172_1(X3501),esk173_1(X3501)),X3501)|transitive(X3501)|~relation(X3501))&(in(ordered_pair(esk173_1(X3501),esk174_1(X3501)),X3501)|transitive(X3501)|~relation(X3501)))&(~in(ordered_pair(esk172_1(X3501),esk174_1(X3501)),X3501)|transitive(X3501)|~relation(X3501)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l2_wellord1])])])])])).
% 282.28/198.90 fof(i_0_957, plain, ![X1, X2]:(((~empty_carrier(X2)&lattice(X2))&latt_str(X2))=>(in(X1,a_1_0_filter_1(X2))<=>?[X3, X4]:(((element(X3,the_carrier(X2))&element(X4,the_carrier(X2)))&X1=ordered_pair_as_product_element(the_carrier(X2),the_carrier(X2),X3,X4))&below_refl(X2,X3,X4)))), inference(fof_simplification,[status(thm)],[fraenkel_a_1_0_filter_1])).
% 282.28/198.90 fof(i_0_958, plain, ![X1, X2, X3, X4]:((((~empty(X1)&~empty(X2))&element(X3,X1))&element(X4,X2))=>element(ordered_pair_as_product_element(X1,X2,X3,X4),cartesian_product2(X1,X2))), inference(fof_simplification,[status(thm)],[dt_k1_domain_1])).
% 282.28/198.90 fof(i_0_959, plain, ![X2862, X2863, X2864, X2865, X2866]:((~is_antisymmetric_in(X2862,X2863)|(~in(X2864,X2863)|~in(X2865,X2863)|~in(ordered_pair(X2864,X2865),X2862)|~in(ordered_pair(X2865,X2864),X2862)|X2864=X2865)|~relation(X2862))&(((((in(esk101_2(X2862,X2866),X2866)|is_antisymmetric_in(X2862,X2866)|~relation(X2862))&(in(esk102_2(X2862,X2866),X2866)|is_antisymmetric_in(X2862,X2866)|~relation(X2862)))&(in(ordered_pair(esk101_2(X2862,X2866),esk102_2(X2862,X2866)),X2862)|is_antisymmetric_in(X2862,X2866)|~relation(X2862)))&(in(ordered_pair(esk102_2(X2862,X2866),esk101_2(X2862,X2866)),X2862)|is_antisymmetric_in(X2862,X2866)|~relation(X2862)))&(esk101_2(X2862,X2866)!=esk102_2(X2862,X2866)|is_antisymmetric_in(X2862,X2866)|~relation(X2862)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relat_2])])])])])])).
% 282.28/198.90 fof(i_0_960, plain, ![X1, X2, X3, X4]:((((((((~empty_carrier(X1)&one_sorted_str(X1))&~empty_carrier(X2))&one_sorted_str(X2))&function(X3))&quasi_total(X3,the_carrier(X1),the_carrier(X2)))&relation_of2(X3,the_carrier(X1),the_carrier(X2)))&element(X4,the_carrier(X1)))=>apply_on_structs(X1,X2,X3,X4)=apply(X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k1_waybel_0])).
% 282.28/198.90 fof(i_0_961, lemma, ![X4840, X4841, X4842, X4843]:(((relation_dom(X4841)=set_intersection2(relation_dom(X4842),X4840)|X4841!=relation_dom_restriction(X4842,X4840)|(~relation(X4842)|~function(X4842))|(~relation(X4841)|~function(X4841)))&(~in(X4843,relation_dom(X4841))|apply(X4841,X4843)=apply(X4842,X4843)|X4841!=relation_dom_restriction(X4842,X4840)|(~relation(X4842)|~function(X4842))|(~relation(X4841)|~function(X4841))))&((in(esk539_3(X4840,X4841,X4842),relation_dom(X4841))|relation_dom(X4841)!=set_intersection2(relation_dom(X4842),X4840)|X4841=relation_dom_restriction(X4842,X4840)|(~relation(X4842)|~function(X4842))|(~relation(X4841)|~function(X4841)))&(apply(X4841,esk539_3(X4840,X4841,X4842))!=apply(X4842,esk539_3(X4840,X4841,X4842))|relation_dom(X4841)!=set_intersection2(relation_dom(X4842),X4840)|X4841=relation_dom_restriction(X4842,X4840)|(~relation(X4842)|~function(X4842))|(~relation(X4841)|~function(X4841))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t68_funct_1])])])])])).
% 282.28/198.90 fof(i_0_962, plain, ![X1, X2, X3]:(X3=set_difference(X1,X2)<=>![X4]:(in(X4,X3)<=>(in(X4,X1)&~in(X4,X2)))), inference(fof_simplification,[status(thm)],[d4_xboole_0])).
% 282.28/198.90 fof(i_0_963, plain, ![X1, X2, X3, X4]:(((((((~empty(X1)&~empty_carrier(X2))&one_sorted_str(X2))&function(X3))&quasi_total(X3,X1,the_carrier(X2)))&relation_of2(X3,X1,the_carrier(X2)))&element(X4,X1))=>apply_on_set_and_struct2(X1,X2,X3,X4)=apply(X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k7_yellow_2])).
% 282.28/198.90 fof(i_0_964, plain, ![X1, X2, X3, X4]:(((((((~empty(X1)&~empty_carrier(X2))&rel_str(X2))&function(X3))&quasi_total(X3,X1,the_carrier(X2)))&relation_of2(X3,X1,the_carrier(X2)))&element(X4,X1))=>apply_on_set_and_struct(X1,X2,X3,X4)=apply(X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k3_yellow_6])).
% 282.28/198.90 fof(i_0_965, lemma, ![X1]:(one_sorted_str(X1)=>![X2]:((~empty_carrier(X2)&net_str(X2,X1))=>![X3]:(((~empty_carrier(X3)&full_subnetstr(X3,X1,X2))&subnetstr(X3,X1,X2))=>![X4]:(element(X4,the_carrier(X2))=>![X5]:(element(X5,the_carrier(X2))=>![X6]:(element(X6,the_carrier(X3))=>![X7]:(element(X7,the_carrier(X3))=>(((X4=X6&X5=X7)&related(X2,X4,X5))=>related(X3,X6,X7))))))))), inference(fof_simplification,[status(thm)],[t21_yellow_6])).
% 282.28/198.90 fof(i_0_966, lemma, ![X3518, X3519, X3520]:((~antisymmetric(X3518)|(~in(ordered_pair(X3519,X3520),X3518)|~in(ordered_pair(X3520,X3519),X3518)|X3519=X3520)|~relation(X3518))&(((in(ordered_pair(esk176_1(X3518),esk177_1(X3518)),X3518)|antisymmetric(X3518)|~relation(X3518))&(in(ordered_pair(esk177_1(X3518),esk176_1(X3518)),X3518)|antisymmetric(X3518)|~relation(X3518)))&(esk176_1(X3518)!=esk177_1(X3518)|antisymmetric(X3518)|~relation(X3518)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l3_wellord1])])])])])).
% 282.28/198.90 fof(i_0_967, plain, ![X1, X2, X3, X4]:(((((~empty(X1)&function(X3))&quasi_total(X3,X1,X2))&relation_of2(X3,X1,X2))&element(X4,X1))=>apply_as_element(X1,X2,X3,X4)=apply(X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2])).
% 282.28/198.90 fof(i_0_968, plain, ![X2588, X2589, X2590, X2591, X2592]:((~function(X2588)|(~in(ordered_pair(X2589,X2590),X2588)|~in(ordered_pair(X2589,X2591),X2588)|X2590=X2591))&(((in(ordered_pair(esk39_1(X2592),esk40_1(X2592)),X2592)|function(X2592))&(in(ordered_pair(esk39_1(X2592),esk41_1(X2592)),X2592)|function(X2592)))&(esk40_1(X2592)!=esk41_1(X2592)|function(X2592)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_funct_1])])])])])])).
% 282.28/198.90 fof(i_0_969, lemma, ![X4868, X4869, X4870, X4871]:(((in(X4868,X4870)|~in(ordered_pair(X4868,X4869),relation_composition(identity_relation(X4870),X4871))|~relation(X4871))&(in(ordered_pair(X4868,X4869),X4871)|~in(ordered_pair(X4868,X4869),relation_composition(identity_relation(X4870),X4871))|~relation(X4871)))&(~in(X4868,X4870)|~in(ordered_pair(X4868,X4869),X4871)|in(ordered_pair(X4868,X4869),relation_composition(identity_relation(X4870),X4871))|~relation(X4871))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t74_relat_1])])])).
% 282.28/198.90 fof(i_0_970, plain, ![X3642, X3643, X3644, X3645]:(empty_carrier(X3642)|~lattice(X3642)|~latt_str(X3642)|empty_carrier(X3643)|~lattice(X3643)|~latt_str(X3643)|~element(X3644,the_carrier(X3642))|~element(X3645,the_carrier(X3643))|k10_filter_1(X3642,X3643,X3644,X3645)=ordered_pair(X3644,X3645)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_851])])).
% 282.28/198.90 fof(i_0_971, lemma, ![X1]:((((~empty_carrier(X1)&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(X2=meet_of_latt_set(X1,X3)<=>(latt_set_smaller(X1,X2,X3)&![X4]:(element(X4,the_carrier(X1))=>(latt_set_smaller(X1,X4,X3)=>below_refl(X1,X4,X2))))))), inference(fof_simplification,[status(thm)],[t34_lattice3])).
% 282.28/198.90 fof(i_0_972, plain, ![X2708, X2709, X2710, X2711]:(((latt_element_smaller(X2708,X2710,X2709)|X2710!=join_of_latt_set(X2708,X2709)|~element(X2710,the_carrier(X2708))|(empty_carrier(X2708)|~lattice(X2708)|~complete_latt_str(X2708)|~latt_str(X2708))|(empty_carrier(X2708)|~latt_str(X2708)))&(~element(X2711,the_carrier(X2708))|(~latt_element_smaller(X2708,X2711,X2709)|below(X2708,X2710,X2711))|X2710!=join_of_latt_set(X2708,X2709)|~element(X2710,the_carrier(X2708))|(empty_carrier(X2708)|~lattice(X2708)|~complete_latt_str(X2708)|~latt_str(X2708))|(empty_carrier(X2708)|~latt_str(X2708))))&((element(esk68_3(X2708,X2709,X2710),the_carrier(X2708))|~latt_element_smaller(X2708,X2710,X2709)|X2710=join_of_latt_set(X2708,X2709)|~element(X2710,the_carrier(X2708))|(empty_carrier(X2708)|~lattice(X2708)|~complete_latt_str(X2708)|~latt_str(X2708))|(empty_carrier(X2708)|~latt_str(X2708)))&((latt_element_smaller(X2708,esk68_3(X2708,X2709,X2710),X2709)|~latt_element_smaller(X2708,X2710,X2709)|X2710=join_of_latt_set(X2708,X2709)|~element(X2710,the_carrier(X2708))|(empty_carrier(X2708)|~lattice(X2708)|~complete_latt_str(X2708)|~latt_str(X2708))|(empty_carrier(X2708)|~latt_str(X2708)))&(~below(X2708,X2710,esk68_3(X2708,X2709,X2710))|~latt_element_smaller(X2708,X2710,X2709)|X2710=join_of_latt_set(X2708,X2709)|~element(X2710,the_carrier(X2708))|(empty_carrier(X2708)|~lattice(X2708)|~complete_latt_str(X2708)|~latt_str(X2708))|(empty_carrier(X2708)|~latt_str(X2708)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_852])])])])])).
% 282.28/198.90 fof(i_0_973, plain, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:((~empty_carrier(X2)&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>apply_netmap(X1,X2,X3)=apply_on_structs(X2,X1,the_mapping(X1,X2),X3)))), inference(fof_simplification,[status(thm)],[d8_waybel_0])).
% 282.28/198.90 fof(i_0_974, lemma, ![X3529, X3530, X3531]:((~connected(X3529)|(~in(X3530,relation_field(X3529))|~in(X3531,relation_field(X3529))|X3530=X3531|in(ordered_pair(X3530,X3531),X3529)|in(ordered_pair(X3531,X3530),X3529))|~relation(X3529))&(((((in(esk178_1(X3529),relation_field(X3529))|connected(X3529)|~relation(X3529))&(in(esk179_1(X3529),relation_field(X3529))|connected(X3529)|~relation(X3529)))&(esk178_1(X3529)!=esk179_1(X3529)|connected(X3529)|~relation(X3529)))&(~in(ordered_pair(esk178_1(X3529),esk179_1(X3529)),X3529)|connected(X3529)|~relation(X3529)))&(~in(ordered_pair(esk179_1(X3529),esk178_1(X3529)),X3529)|connected(X3529)|~relation(X3529)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_853])])])])])).
% 282.28/198.90 fof(i_0_975, lemma, ![X3489, X3490]:((~reflexive(X3489)|(~in(X3490,relation_field(X3489))|in(ordered_pair(X3490,X3490),X3489))|~relation(X3489))&((in(esk171_1(X3489),relation_field(X3489))|reflexive(X3489)|~relation(X3489))&(~in(ordered_pair(esk171_1(X3489),esk171_1(X3489)),X3489)|reflexive(X3489)|~relation(X3489)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l1_wellord1])])])])])).
% 282.28/198.90 fof(i_0_976, plain, ![X1]:(((~empty_carrier(X1)&topological_space(X1))&top_str(X1))=>![X2]:((~empty_carrier(X2)&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X1))=>(is_a_cluster_point_of_netstr(X1,X2,X3)<=>![X4]:(point_neighbourhood(X4,X1,X3)=>is_often_in(X1,X2,X4)))))), inference(fof_simplification,[status(thm)],[d9_waybel_9])).
% 282.28/198.90 fof(i_0_977, lemma, ((epred1_0&![X4]:(ordinal(X4)=>((being_limit_ordinal(X4)&![X11]:(ordinal(X11)=>(in(X11,X4)=>(in(X11,omega)=>![X12]:(element(X12,powerset(powerset(X11)))=>~((X12!=empty_set&![X13]:~((in(X13,X12)&![X14]:((in(X14,X12)&subset(X13,X14))=>X14=X13))))))))))=>(X4=empty_set|(in(X4,omega)=>![X15]:(element(X15,powerset(powerset(X4)))=>~((X15!=empty_set&![X16]:~((in(X16,X15)&![X17]:((in(X17,X15)&subset(X16,X17))=>X17=X16)))))))))))=>![X4]:(ordinal(X4)=>(in(X4,omega)=>![X18]:(element(X18,powerset(powerset(X4)))=>~((X18!=empty_set&![X19]:~((in(X19,X18)&![X20]:((in(X20,X18)&subset(X19,X20))=>X20=X19))))))))), inference(apply_def,[status(thm)],[s1_ordinal2__e18_27__finset_1, c_0_833])).
% 282.28/198.90 fof(i_0_978, plain, ![X2723, X2724, X2725, X2726, X2727, X2728, X2729]:((X2726!=pair_second(X2723)|(X2723!=ordered_pair(X2727,X2728)|X2726=X2728)|X2723!=ordered_pair(X2724,X2725))&((X2723=ordered_pair(esk70_2(X2723,X2729),esk71_2(X2723,X2729))|X2729=pair_second(X2723)|X2723!=ordered_pair(X2724,X2725))&(X2729!=esk71_2(X2723,X2729)|X2729=pair_second(X2723)|X2723!=ordered_pair(X2724,X2725)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_mcart_1])])])])])])).
% 282.28/198.90 fof(i_0_979, plain, ![X2608, X2609, X2610, X2611, X2612, X2613, X2614]:((X2611!=pair_first(X2608)|(X2608!=ordered_pair(X2612,X2613)|X2611=X2612)|X2608!=ordered_pair(X2609,X2610))&((X2608=ordered_pair(esk44_2(X2608,X2614),esk45_2(X2608,X2614))|X2614=pair_first(X2608)|X2608!=ordered_pair(X2609,X2610))&(X2614!=esk44_2(X2608,X2614)|X2614=pair_first(X2608)|X2608!=ordered_pair(X2609,X2610)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_mcart_1])])])])])])).
% 282.28/198.90 fof(i_0_980, plain, ![X3646, X3647, X3648, X3649]:(empty(X3646)|empty(X3647)|~element(X3648,X3646)|~element(X3649,X3647)|ordered_pair_as_product_element(X3646,X3647,X3648,X3649)=ordered_pair(X3648,X3649)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_854])])).
% 282.28/198.90 fof(i_0_981, plain, ![X3065, X3066, X3067]:((~related(X3065,X3066,X3067)|in(ordered_pair(X3066,X3067),the_InternalRel(X3065))|~element(X3067,the_carrier(X3065))|~element(X3066,the_carrier(X3065))|~rel_str(X3065))&(~in(ordered_pair(X3066,X3067),the_InternalRel(X3065))|related(X3065,X3066,X3067)|~element(X3067,the_carrier(X3065))|~element(X3066,the_carrier(X3065))|~rel_str(X3065))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_orders_2])])])])).
% 282.28/198.90 fof(i_0_982, plain, ![X1]:((~empty_carrier(X1)&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(latt_element_smaller(X1,X2,X3)<=>![X4]:(element(X4,the_carrier(X1))=>(in(X4,X3)=>below(X1,X4,X2)))))), inference(fof_simplification,[status(thm)],[d17_lattice3])).
% 282.28/198.90 fof(i_0_983, plain, ![X1]:((~empty_carrier(X1)&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(latt_set_smaller(X1,X2,X3)<=>![X4]:(element(X4,the_carrier(X1))=>(in(X4,X3)=>below(X1,X2,X4)))))), inference(fof_simplification,[status(thm)],[d16_lattice3])).
% 282.28/198.90 fof(i_0_984, plain, ![X1]:((~empty_carrier(X1)&latt_str(X1))=>(meet_absorbing(X1)<=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>join(X1,meet(X1,X2,X3),X3)=X3)))), inference(fof_simplification,[status(thm)],[d8_lattices])).
% 282.28/198.90 fof(i_0_985, plain, ![X4938, X4941, X4943, X4945]:(((ordinal(esk546_0)|in(empty_set,omega)|epred1_0)&(((in(esk547_1(X4941),X4941)|X4941=empty_set|~element(X4941,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|in(empty_set,omega)|epred1_0)&(~in(X4943,X4941)|~subset(esk547_1(X4941),X4943)|X4943=esk547_1(X4941)|X4941=empty_set|~element(X4941,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|in(empty_set,omega)|epred1_0))&((in(succ(esk546_0),omega)|in(empty_set,omega)|epred1_0)&((element(esk548_0,powerset(powerset(succ(esk546_0))))|in(empty_set,omega)|epred1_0)&((esk548_0!=empty_set|in(empty_set,omega)|epred1_0)&(((in(esk549_1(X4945),esk548_0)|~in(X4945,esk548_0)|in(empty_set,omega)|epred1_0)&(subset(X4945,esk549_1(X4945))|~in(X4945,esk548_0)|in(empty_set,omega)|epred1_0))&(esk549_1(X4945)!=X4945|~in(X4945,esk548_0)|in(empty_set,omega)|epred1_0)))))))&(((ordinal(esk546_0)|element(esk544_0,powerset(powerset(empty_set)))|epred1_0)&(((in(esk547_1(X4941),X4941)|X4941=empty_set|~element(X4941,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|element(esk544_0,powerset(powerset(empty_set)))|epred1_0)&(~in(X4943,X4941)|~subset(esk547_1(X4941),X4943)|X4943=esk547_1(X4941)|X4941=empty_set|~element(X4941,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|element(esk544_0,powerset(powerset(empty_set)))|epred1_0))&((in(succ(esk546_0),omega)|element(esk544_0,powerset(powerset(empty_set)))|epred1_0)&((element(esk548_0,powerset(powerset(succ(esk546_0))))|element(esk544_0,powerset(powerset(empty_set)))|epred1_0)&((esk548_0!=empty_set|element(esk544_0,powerset(powerset(empty_set)))|epred1_0)&(((in(esk549_1(X4945),esk548_0)|~in(X4945,esk548_0)|element(esk544_0,powerset(powerset(empty_set)))|epred1_0)&(subset(X4945,esk549_1(X4945))|~in(X4945,esk548_0)|element(esk544_0,powerset(powerset(empty_set)))|epred1_0))&(esk549_1(X4945)!=X4945|~in(X4945,esk548_0)|element(esk544_0,powerset(powerset(empty_set)))|epred1_0)))))))&(((ordinal(esk546_0)|esk544_0!=empty_set|epred1_0)&(((in(esk547_1(X4941),X4941)|X4941=empty_set|~element(X4941,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|esk544_0!=empty_set|epred1_0)&(~in(X4943,X4941)|~subset(esk547_1(X4941),X4943)|X4943=esk547_1(X4941)|X4941=empty_set|~element(X4941,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|esk544_0!=empty_set|epred1_0))&((in(succ(esk546_0),omega)|esk544_0!=empty_set|epred1_0)&((element(esk548_0,powerset(powerset(succ(esk546_0))))|esk544_0!=empty_set|epred1_0)&((esk548_0!=empty_set|esk544_0!=empty_set|epred1_0)&(((in(esk549_1(X4945),esk548_0)|~in(X4945,esk548_0)|esk544_0!=empty_set|epred1_0)&(subset(X4945,esk549_1(X4945))|~in(X4945,esk548_0)|esk544_0!=empty_set|epred1_0))&(esk549_1(X4945)!=X4945|~in(X4945,esk548_0)|esk544_0!=empty_set|epred1_0)))))))&((((ordinal(esk546_0)|(in(esk545_1(X4938),esk544_0)|~in(X4938,esk544_0))|epred1_0)&(((in(esk547_1(X4941),X4941)|X4941=empty_set|~element(X4941,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|(in(esk545_1(X4938),esk544_0)|~in(X4938,esk544_0))|epred1_0)&(~in(X4943,X4941)|~subset(esk547_1(X4941),X4943)|X4943=esk547_1(X4941)|X4941=empty_set|~element(X4941,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|(in(esk545_1(X4938),esk544_0)|~in(X4938,esk544_0))|epred1_0))&((in(succ(esk546_0),omega)|(in(esk545_1(X4938),esk544_0)|~in(X4938,esk544_0))|epred1_0)&((element(esk548_0,powerset(powerset(succ(esk546_0))))|(in(esk545_1(X4938),esk544_0)|~in(X4938,esk544_0))|epred1_0)&((esk548_0!=empty_set|(in(esk545_1(X4938),esk544_0)|~in(X4938,esk544_0))|epred1_0)&(((in(esk549_1(X4945),esk548_0)|~in(X4945,esk548_0)|(in(esk545_1(X4938),esk544_0)|~in(X4938,esk544_0))|epred1_0)&(subset(X4945,esk549_1(X4945))|~in(X4945,esk548_0)|(in(esk545_1(X4938),esk544_0)|~in(X4938,esk544_0))|epred1_0))&(esk549_1(X4945)!=X4945|~in(X4945,esk548_0)|(in(esk545_1(X4938),esk544_0)|~in(X4938,esk544_0))|epred1_0)))))))&((ordinal(esk546_0)|(subset(X4938,esk545_1(X4938))|~in(X4938,esk544_0))|epred1_0)&(((in(esk547_1(X4941),X4941)|X4941=empty_set|~element(X4941,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|(subset(X4938,esk545_1(X4938))|~in(X4938,esk544_0))|epred1_0)&(~in(X4943,X4941)|~subset(esk547_1(X4941),X4943)|X4943=esk547_1(X4941)|X4941=empty_set|~element(X4941,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|(subset(X4938,esk545_1(X4938))|~in(X4938,esk544_0))|epred1_0))&((in(succ(esk546_0),omega)|(subset(X4938,esk545_1(X4938))|~in(X4938,esk544_0))|epred1_0)&((element(esk548_0,powerset(powerset(succ(esk546_0))))|(subset(X4938,esk545_1(X4938))|~in(X4938,esk544_0))|epred1_0)&((esk548_0!=empty_set|(subset(X4938,esk545_1(X4938))|~in(X4938,esk544_0))|epred1_0)&(((in(esk549_1(X4945),esk548_0)|~in(X4945,esk548_0)|(subset(X4938,esk545_1(X4938))|~in(X4938,esk544_0))|epred1_0)&(subset(X4945,esk549_1(X4945))|~in(X4945,esk548_0)|(subset(X4938,esk545_1(X4938))|~in(X4938,esk544_0))|epred1_0))&(esk549_1(X4945)!=X4945|~in(X4945,esk548_0)|(subset(X4938,esk545_1(X4938))|~in(X4938,esk544_0))|epred1_0))))))))&((ordinal(esk546_0)|(esk545_1(X4938)!=X4938|~in(X4938,esk544_0))|epred1_0)&(((in(esk547_1(X4941),X4941)|X4941=empty_set|~element(X4941,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|(esk545_1(X4938)!=X4938|~in(X4938,esk544_0))|epred1_0)&(~in(X4943,X4941)|~subset(esk547_1(X4941),X4943)|X4943=esk547_1(X4941)|X4941=empty_set|~element(X4941,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|(esk545_1(X4938)!=X4938|~in(X4938,esk544_0))|epred1_0))&((in(succ(esk546_0),omega)|(esk545_1(X4938)!=X4938|~in(X4938,esk544_0))|epred1_0)&((element(esk548_0,powerset(powerset(succ(esk546_0))))|(esk545_1(X4938)!=X4938|~in(X4938,esk544_0))|epred1_0)&((esk548_0!=empty_set|(esk545_1(X4938)!=X4938|~in(X4938,esk544_0))|epred1_0)&(((in(esk549_1(X4945),esk548_0)|~in(X4945,esk548_0)|(esk545_1(X4938)!=X4938|~in(X4938,esk544_0))|epred1_0)&(subset(X4945,esk549_1(X4945))|~in(X4945,esk548_0)|(esk545_1(X4938)!=X4938|~in(X4938,esk544_0))|epred1_0))&(esk549_1(X4945)!=X4945|~in(X4945,esk548_0)|(esk545_1(X4938)!=X4938|~in(X4938,esk544_0))|epred1_0))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_855])])])])])).
% 282.28/198.90 fof(i_0_986, lemma, ![X1]:(((~empty_carrier(X1)&lattice(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>(below_refl(X1,X2,X3)<=>related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)))))), inference(fof_simplification,[status(thm)],[t7_lattice3])).
% 282.28/198.90 fof(i_0_987, lemma, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:((((~empty_carrier(X2)&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(is_often_in(X1,X2,X3)=>(~empty_carrier(preimage_subnetstr(X1,X2,X3))&directed_relstr(preimage_subnetstr(X1,X2,X3)))))), inference(fof_simplification,[status(thm)],[t30_yellow_6])).
% 282.28/198.90 fof(i_0_988, plain, ![X4084, X4085, X4092, X4095, X4096, X4097]:((((((((in(esk420_3(X4084,X4085,X4092),succ(X4085))|~in(X4092,esk419_2(X4084,X4085))|esk414_2(X4084,X4085)=esk415_2(X4084,X4085)|~ordinal(X4085))&(esk420_3(X4084,X4085,X4092)=X4092|~in(X4092,esk419_2(X4084,X4085))|esk414_2(X4084,X4085)=esk415_2(X4084,X4085)|~ordinal(X4085)))&(((ordinal(esk421_3(X4084,X4085,X4092))|~in(X4092,esk419_2(X4084,X4085))|esk414_2(X4084,X4085)=esk415_2(X4084,X4085)|~ordinal(X4085))&(X4092=esk421_3(X4084,X4085,X4092)|~in(X4092,esk419_2(X4084,X4085))|esk414_2(X4084,X4085)=esk415_2(X4084,X4085)|~ordinal(X4085)))&(in(esk421_3(X4084,X4085,X4092),X4084)|~in(X4092,esk419_2(X4084,X4085))|esk414_2(X4084,X4085)=esk415_2(X4084,X4085)|~ordinal(X4085))))&(~in(X4096,succ(X4085))|X4096!=X4095|(~ordinal(X4097)|X4095!=X4097|~in(X4097,X4084))|in(X4095,esk419_2(X4084,X4085))|esk414_2(X4084,X4085)=esk415_2(X4084,X4085)|~ordinal(X4085)))&((((((in(esk420_3(X4084,X4085,X4092),succ(X4085))|~in(X4092,esk419_2(X4084,X4085))|ordinal(esk417_2(X4084,X4085))|~ordinal(X4085))&(esk420_3(X4084,X4085,X4092)=X4092|~in(X4092,esk419_2(X4084,X4085))|ordinal(esk417_2(X4084,X4085))|~ordinal(X4085)))&(((ordinal(esk421_3(X4084,X4085,X4092))|~in(X4092,esk419_2(X4084,X4085))|ordinal(esk417_2(X4084,X4085))|~ordinal(X4085))&(X4092=esk421_3(X4084,X4085,X4092)|~in(X4092,esk419_2(X4084,X4085))|ordinal(esk417_2(X4084,X4085))|~ordinal(X4085)))&(in(esk421_3(X4084,X4085,X4092),X4084)|~in(X4092,esk419_2(X4084,X4085))|ordinal(esk417_2(X4084,X4085))|~ordinal(X4085))))&(~in(X4096,succ(X4085))|X4096!=X4095|(~ordinal(X4097)|X4095!=X4097|~in(X4097,X4084))|in(X4095,esk419_2(X4084,X4085))|ordinal(esk417_2(X4084,X4085))|~ordinal(X4085)))&((((in(esk420_3(X4084,X4085,X4092),succ(X4085))|~in(X4092,esk419_2(X4084,X4085))|esk415_2(X4084,X4085)=esk417_2(X4084,X4085)|~ordinal(X4085))&(esk420_3(X4084,X4085,X4092)=X4092|~in(X4092,esk419_2(X4084,X4085))|esk415_2(X4084,X4085)=esk417_2(X4084,X4085)|~ordinal(X4085)))&(((ordinal(esk421_3(X4084,X4085,X4092))|~in(X4092,esk419_2(X4084,X4085))|esk415_2(X4084,X4085)=esk417_2(X4084,X4085)|~ordinal(X4085))&(X4092=esk421_3(X4084,X4085,X4092)|~in(X4092,esk419_2(X4084,X4085))|esk415_2(X4084,X4085)=esk417_2(X4084,X4085)|~ordinal(X4085)))&(in(esk421_3(X4084,X4085,X4092),X4084)|~in(X4092,esk419_2(X4084,X4085))|esk415_2(X4084,X4085)=esk417_2(X4084,X4085)|~ordinal(X4085))))&(~in(X4096,succ(X4085))|X4096!=X4095|(~ordinal(X4097)|X4095!=X4097|~in(X4097,X4084))|in(X4095,esk419_2(X4084,X4085))|esk415_2(X4084,X4085)=esk417_2(X4084,X4085)|~ordinal(X4085))))&((((in(esk420_3(X4084,X4085,X4092),succ(X4085))|~in(X4092,esk419_2(X4084,X4085))|in(esk417_2(X4084,X4085),X4084)|~ordinal(X4085))&(esk420_3(X4084,X4085,X4092)=X4092|~in(X4092,esk419_2(X4084,X4085))|in(esk417_2(X4084,X4085),X4084)|~ordinal(X4085)))&(((ordinal(esk421_3(X4084,X4085,X4092))|~in(X4092,esk419_2(X4084,X4085))|in(esk417_2(X4084,X4085),X4084)|~ordinal(X4085))&(X4092=esk421_3(X4084,X4085,X4092)|~in(X4092,esk419_2(X4084,X4085))|in(esk417_2(X4084,X4085),X4084)|~ordinal(X4085)))&(in(esk421_3(X4084,X4085,X4092),X4084)|~in(X4092,esk419_2(X4084,X4085))|in(esk417_2(X4084,X4085),X4084)|~ordinal(X4085))))&(~in(X4096,succ(X4085))|X4096!=X4095|(~ordinal(X4097)|X4095!=X4097|~in(X4097,X4084))|in(X4095,esk419_2(X4084,X4085))|in(esk417_2(X4084,X4085),X4084)|~ordinal(X4085)))))&((((in(esk420_3(X4084,X4085,X4092),succ(X4085))|~in(X4092,esk419_2(X4084,X4085))|esk414_2(X4084,X4085)=esk416_2(X4084,X4085)|~ordinal(X4085))&(esk420_3(X4084,X4085,X4092)=X4092|~in(X4092,esk419_2(X4084,X4085))|esk414_2(X4084,X4085)=esk416_2(X4084,X4085)|~ordinal(X4085)))&(((ordinal(esk421_3(X4084,X4085,X4092))|~in(X4092,esk419_2(X4084,X4085))|esk414_2(X4084,X4085)=esk416_2(X4084,X4085)|~ordinal(X4085))&(X4092=esk421_3(X4084,X4085,X4092)|~in(X4092,esk419_2(X4084,X4085))|esk414_2(X4084,X4085)=esk416_2(X4084,X4085)|~ordinal(X4085)))&(in(esk421_3(X4084,X4085,X4092),X4084)|~in(X4092,esk419_2(X4084,X4085))|esk414_2(X4084,X4085)=esk416_2(X4084,X4085)|~ordinal(X4085))))&(~in(X4096,succ(X4085))|X4096!=X4095|(~ordinal(X4097)|X4095!=X4097|~in(X4097,X4084))|in(X4095,esk419_2(X4084,X4085))|esk414_2(X4084,X4085)=esk416_2(X4084,X4085)|~ordinal(X4085))))&((((((in(esk420_3(X4084,X4085,X4092),succ(X4085))|~in(X4092,esk419_2(X4084,X4085))|ordinal(esk418_2(X4084,X4085))|~ordinal(X4085))&(esk420_3(X4084,X4085,X4092)=X4092|~in(X4092,esk419_2(X4084,X4085))|ordinal(esk418_2(X4084,X4085))|~ordinal(X4085)))&(((ordinal(esk421_3(X4084,X4085,X4092))|~in(X4092,esk419_2(X4084,X4085))|ordinal(esk418_2(X4084,X4085))|~ordinal(X4085))&(X4092=esk421_3(X4084,X4085,X4092)|~in(X4092,esk419_2(X4084,X4085))|ordinal(esk418_2(X4084,X4085))|~ordinal(X4085)))&(in(esk421_3(X4084,X4085,X4092),X4084)|~in(X4092,esk419_2(X4084,X4085))|ordinal(esk418_2(X4084,X4085))|~ordinal(X4085))))&(~in(X4096,succ(X4085))|X4096!=X4095|(~ordinal(X4097)|X4095!=X4097|~in(X4097,X4084))|in(X4095,esk419_2(X4084,X4085))|ordinal(esk418_2(X4084,X4085))|~ordinal(X4085)))&((((in(esk420_3(X4084,X4085,X4092),succ(X4085))|~in(X4092,esk419_2(X4084,X4085))|esk416_2(X4084,X4085)=esk418_2(X4084,X4085)|~ordinal(X4085))&(esk420_3(X4084,X4085,X4092)=X4092|~in(X4092,esk419_2(X4084,X4085))|esk416_2(X4084,X4085)=esk418_2(X4084,X4085)|~ordinal(X4085)))&(((ordinal(esk421_3(X4084,X4085,X4092))|~in(X4092,esk419_2(X4084,X4085))|esk416_2(X4084,X4085)=esk418_2(X4084,X4085)|~ordinal(X4085))&(X4092=esk421_3(X4084,X4085,X4092)|~in(X4092,esk419_2(X4084,X4085))|esk416_2(X4084,X4085)=esk418_2(X4084,X4085)|~ordinal(X4085)))&(in(esk421_3(X4084,X4085,X4092),X4084)|~in(X4092,esk419_2(X4084,X4085))|esk416_2(X4084,X4085)=esk418_2(X4084,X4085)|~ordinal(X4085))))&(~in(X4096,succ(X4085))|X4096!=X4095|(~ordinal(X4097)|X4095!=X4097|~in(X4097,X4084))|in(X4095,esk419_2(X4084,X4085))|esk416_2(X4084,X4085)=esk418_2(X4084,X4085)|~ordinal(X4085))))&((((in(esk420_3(X4084,X4085,X4092),succ(X4085))|~in(X4092,esk419_2(X4084,X4085))|in(esk418_2(X4084,X4085),X4084)|~ordinal(X4085))&(esk420_3(X4084,X4085,X4092)=X4092|~in(X4092,esk419_2(X4084,X4085))|in(esk418_2(X4084,X4085),X4084)|~ordinal(X4085)))&(((ordinal(esk421_3(X4084,X4085,X4092))|~in(X4092,esk419_2(X4084,X4085))|in(esk418_2(X4084,X4085),X4084)|~ordinal(X4085))&(X4092=esk421_3(X4084,X4085,X4092)|~in(X4092,esk419_2(X4084,X4085))|in(esk418_2(X4084,X4085),X4084)|~ordinal(X4085)))&(in(esk421_3(X4084,X4085,X4092),X4084)|~in(X4092,esk419_2(X4084,X4085))|in(esk418_2(X4084,X4085),X4084)|~ordinal(X4085))))&(~in(X4096,succ(X4085))|X4096!=X4095|(~ordinal(X4097)|X4095!=X4097|~in(X4097,X4084))|in(X4095,esk419_2(X4084,X4085))|in(esk418_2(X4084,X4085),X4084)|~ordinal(X4085)))))&((((in(esk420_3(X4084,X4085,X4092),succ(X4085))|~in(X4092,esk419_2(X4084,X4085))|esk415_2(X4084,X4085)!=esk416_2(X4084,X4085)|~ordinal(X4085))&(esk420_3(X4084,X4085,X4092)=X4092|~in(X4092,esk419_2(X4084,X4085))|esk415_2(X4084,X4085)!=esk416_2(X4084,X4085)|~ordinal(X4085)))&(((ordinal(esk421_3(X4084,X4085,X4092))|~in(X4092,esk419_2(X4084,X4085))|esk415_2(X4084,X4085)!=esk416_2(X4084,X4085)|~ordinal(X4085))&(X4092=esk421_3(X4084,X4085,X4092)|~in(X4092,esk419_2(X4084,X4085))|esk415_2(X4084,X4085)!=esk416_2(X4084,X4085)|~ordinal(X4085)))&(in(esk421_3(X4084,X4085,X4092),X4084)|~in(X4092,esk419_2(X4084,X4085))|esk415_2(X4084,X4085)!=esk416_2(X4084,X4085)|~ordinal(X4085))))&(~in(X4096,succ(X4085))|X4096!=X4095|(~ordinal(X4097)|X4095!=X4097|~in(X4097,X4084))|in(X4095,esk419_2(X4084,X4085))|esk415_2(X4084,X4085)!=esk416_2(X4084,X4085)|~ordinal(X4085)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e8_6__wellord2__1])])])])])])).
% 282.28/198.90 fof(i_0_989, plain, ![X1]:((~empty_carrier(X1)&meet_semilatt_str(X1))=>(lower_bounded_semilattstr(X1)=>![X2]:(element(X2,the_carrier(X1))=>(X2=bottom_of_semilattstr(X1)<=>![X3]:(element(X3,the_carrier(X1))=>(meet(X1,X2,X3)=X2&meet(X1,X3,X2)=X2)))))), inference(fof_simplification,[status(thm)],[d16_lattices])).
% 282.28/198.90 fof(i_0_990, lemma, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>apply_as_element(the_carrier(X1),the_carrier(X1),identity_on_carrier(X1),X2)=X2)), inference(fof_simplification,[status(thm)],[t91_tmap_1])).
% 282.28/198.90 fof(i_0_991, lemma, ![X4600, X4601, X4602]:((~related_reflexive(boole_POSet(X4600),X4601,X4602)|subset(X4601,X4602)|~element(X4602,the_carrier(boole_POSet(X4600)))|~element(X4601,the_carrier(boole_POSet(X4600))))&(~subset(X4601,X4602)|related_reflexive(boole_POSet(X4600),X4601,X4602)|~element(X4602,the_carrier(boole_POSet(X4600)))|~element(X4601,the_carrier(boole_POSet(X4600))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_yellow_1])])])])).
% 282.28/198.90 fof(i_0_992, lemma, ![X4768]:boole_POSet(X4768)=incl_POSet(powerset(X4768)), inference(variable_rename,[status(thm)],[t4_yellow_1])).
% 282.28/198.90 fof(i_0_993, plain, ![X1]:((~empty_carrier(X1)&meet_semilatt_str(X1))=>(lower_bounded_semilattstr(X1)<=>?[X2]:(element(X2,the_carrier(X1))&![X3]:(element(X3,the_carrier(X1))=>(meet(X1,X2,X3)=X2&meet(X1,X3,X2)=X2))))), inference(fof_simplification,[status(thm)],[d13_lattices])).
% 282.28/198.90 fof(i_0_994, lemma, ![X1]:(((~empty_carrier(X1)&topological_space(X1))&top_str(X1))=>![X2]:(element(X2,powerset(the_carrier(X1)))=>![X3]:(element(X3,the_carrier(X1))=>(in(X3,topstr_closure(X1,X2))<=>![X4]:(point_neighbourhood(X4,X1,X3)=>~disjoint(X4,X2)))))), inference(fof_simplification,[status(thm)],[t6_yellow_6])).
% 282.28/198.90 fof(i_0_995, plain, ![X2625, X2626, X2629, X2631, X2632]:((~relation(X2625)|(~in(X2626,X2625)|X2626=ordered_pair(esk49_2(X2625,X2626),esk50_2(X2625,X2626))))&((in(esk51_1(X2629),X2629)|relation(X2629))&(esk51_1(X2629)!=ordered_pair(X2631,X2632)|relation(X2629)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relat_1])])])])])])).
% 282.28/198.90 fof(i_0_996, lemma, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:((((~empty_carrier(X2)&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(is_often_in(X1,X2,X3)=>subnet(preimage_subnetstr(X1,X2,X3),X1,X2)))), inference(fof_simplification,[status(thm)],[t31_yellow_6])).
% 282.28/198.90 fof(i_0_997, lemma, ![X4333, X4334, X4335, X4336]:((~upper_relstr_subset(X4334,boole_POSet(X4333))|(~subset(X4335,X4336)|~subset(X4336,X4333)|~in(X4335,X4334)|in(X4336,X4334))|~element(X4334,powerset(the_carrier(boole_POSet(X4333)))))&((((subset(esk497_2(X4333,X4334),esk498_2(X4333,X4334))|upper_relstr_subset(X4334,boole_POSet(X4333))|~element(X4334,powerset(the_carrier(boole_POSet(X4333)))))&(subset(esk498_2(X4333,X4334),X4333)|upper_relstr_subset(X4334,boole_POSet(X4333))|~element(X4334,powerset(the_carrier(boole_POSet(X4333))))))&(in(esk497_2(X4333,X4334),X4334)|upper_relstr_subset(X4334,boole_POSet(X4333))|~element(X4334,powerset(the_carrier(boole_POSet(X4333))))))&(~in(esk498_2(X4333,X4334),X4334)|upper_relstr_subset(X4334,boole_POSet(X4333))|~element(X4334,powerset(the_carrier(boole_POSet(X4333))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t11_waybel_7])])])])])).
% 282.28/198.90 fof(i_0_998, lemma, ![X1]:(((~empty_carrier(X1)&transitive_relstr(X1))&rel_str(X1))=>![X2]:(element(X2,powerset(the_carrier(X1)))=>((~empty(X2)&directed_subset(X2,X1))<=>![X3]:((finite(X3)&element(X3,powerset(X2)))=>?[X4]:((element(X4,the_carrier(X1))&in(X4,X2))&relstr_set_smaller(X1,X3,X4)))))), inference(fof_simplification,[status(thm)],[t1_waybel_0])).
% 282.28/198.90 fof(i_0_999, plain, ![X3325, X3326]:(((~empty_carrier(rel_str_of(singleton(X3325),X3326))|~relation_of2(X3326,singleton(X3325),singleton(X3325)))&(strict_rel_str(rel_str_of(singleton(X3325),X3326))|~relation_of2(X3326,singleton(X3325),singleton(X3325))))&(trivial_carrier(rel_str_of(singleton(X3325),X3326))|~relation_of2(X3326,singleton(X3325),singleton(X3325)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_856])])])).
% 282.28/198.90 fof(i_0_1000, plain, ![X2846, X2847, X2848]:(((X2848!=apply(X2846,X2847)|in(ordered_pair(X2847,X2848),X2846)|~in(X2847,relation_dom(X2846))|(~relation(X2846)|~function(X2846)))&(~in(ordered_pair(X2847,X2848),X2846)|X2848=apply(X2846,X2847)|~in(X2847,relation_dom(X2846))|(~relation(X2846)|~function(X2846))))&((X2848!=apply(X2846,X2847)|X2848=empty_set|in(X2847,relation_dom(X2846))|(~relation(X2846)|~function(X2846)))&(X2848!=empty_set|X2848=apply(X2846,X2847)|in(X2847,relation_dom(X2846))|(~relation(X2846)|~function(X2846))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_857])])])])).
% 282.28/198.90 fof(i_0_1001, lemma, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:((((~empty_carrier(X2)&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3, X4]:(subnet(X4,X1,X2)=>(X4=preimage_subnetstr(X1,X2,X3)=>is_eventually_in(X1,X4,X3))))), inference(fof_simplification,[status(thm)],[t32_yellow_6])).
% 282.28/198.90 fof(i_0_1002, lemma, ![X3764, X3769, X3770, X3771, X3772]:(((((((relation(esk258_1(X3764))|in(esk255_1(X3764),X3764))&(function(esk258_1(X3764))|in(esk255_1(X3764),X3764)))&(((in(X3769,X3764)|~in(ordered_pair(X3769,X3770),esk258_1(X3764))|in(esk255_1(X3764),X3764))&(X3770=singleton(X3769)|~in(ordered_pair(X3769,X3770),esk258_1(X3764))|in(esk255_1(X3764),X3764)))&(~in(X3771,X3764)|X3772!=singleton(X3771)|in(ordered_pair(X3771,X3772),esk258_1(X3764))|in(esk255_1(X3764),X3764))))&(((relation(esk258_1(X3764))|esk256_1(X3764)=singleton(esk255_1(X3764)))&(function(esk258_1(X3764))|esk256_1(X3764)=singleton(esk255_1(X3764))))&(((in(X3769,X3764)|~in(ordered_pair(X3769,X3770),esk258_1(X3764))|esk256_1(X3764)=singleton(esk255_1(X3764)))&(X3770=singleton(X3769)|~in(ordered_pair(X3769,X3770),esk258_1(X3764))|esk256_1(X3764)=singleton(esk255_1(X3764))))&(~in(X3771,X3764)|X3772!=singleton(X3771)|in(ordered_pair(X3771,X3772),esk258_1(X3764))|esk256_1(X3764)=singleton(esk255_1(X3764))))))&(((relation(esk258_1(X3764))|in(esk255_1(X3764),X3764))&(function(esk258_1(X3764))|in(esk255_1(X3764),X3764)))&(((in(X3769,X3764)|~in(ordered_pair(X3769,X3770),esk258_1(X3764))|in(esk255_1(X3764),X3764))&(X3770=singleton(X3769)|~in(ordered_pair(X3769,X3770),esk258_1(X3764))|in(esk255_1(X3764),X3764)))&(~in(X3771,X3764)|X3772!=singleton(X3771)|in(ordered_pair(X3771,X3772),esk258_1(X3764))|in(esk255_1(X3764),X3764)))))&(((relation(esk258_1(X3764))|esk257_1(X3764)=singleton(esk255_1(X3764)))&(function(esk258_1(X3764))|esk257_1(X3764)=singleton(esk255_1(X3764))))&(((in(X3769,X3764)|~in(ordered_pair(X3769,X3770),esk258_1(X3764))|esk257_1(X3764)=singleton(esk255_1(X3764)))&(X3770=singleton(X3769)|~in(ordered_pair(X3769,X3770),esk258_1(X3764))|esk257_1(X3764)=singleton(esk255_1(X3764))))&(~in(X3771,X3764)|X3772!=singleton(X3771)|in(ordered_pair(X3771,X3772),esk258_1(X3764))|esk257_1(X3764)=singleton(esk255_1(X3764))))))&(((relation(esk258_1(X3764))|esk256_1(X3764)!=esk257_1(X3764))&(function(esk258_1(X3764))|esk256_1(X3764)!=esk257_1(X3764)))&(((in(X3769,X3764)|~in(ordered_pair(X3769,X3770),esk258_1(X3764))|esk256_1(X3764)!=esk257_1(X3764))&(X3770=singleton(X3769)|~in(ordered_pair(X3769,X3770),esk258_1(X3764))|esk256_1(X3764)!=esk257_1(X3764)))&(~in(X3771,X3764)|X3772!=singleton(X3771)|in(ordered_pair(X3771,X3772),esk258_1(X3764))|esk256_1(X3764)!=esk257_1(X3764))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_858])])])])])])).
% 282.28/198.90 fof(i_0_1003, lemma, ![X4302, X4303, X4304, X4305]:(((in(X4302,X4304)|~in(ordered_pair(X4302,X4303),cartesian_product2(X4304,X4305)))&(in(X4303,X4305)|~in(ordered_pair(X4302,X4303),cartesian_product2(X4304,X4305))))&(~in(X4302,X4304)|~in(X4303,X4305)|in(ordered_pair(X4302,X4303),cartesian_product2(X4304,X4305)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_zfmisc_1])])])).
% 282.28/198.90 fof(i_0_1004, lemma, ![X3538, X3539, X3540, X3541]:(((in(X3538,X3540)|~in(ordered_pair(X3538,X3539),cartesian_product2(X3540,X3541)))&(in(X3539,X3541)|~in(ordered_pair(X3538,X3539),cartesian_product2(X3540,X3541))))&(~in(X3538,X3540)|~in(X3539,X3541)|in(ordered_pair(X3538,X3539),cartesian_product2(X3540,X3541)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l55_zfmisc_1])])])).
% 282.28/198.90 fof(i_0_1005, lemma, ![X4895, X4896, X4897]:(((in(X4895,relation_dom(X4897))|~in(ordered_pair(X4895,X4896),X4897)|(~relation(X4897)|~function(X4897)))&(X4896=apply(X4897,X4895)|~in(ordered_pair(X4895,X4896),X4897)|(~relation(X4897)|~function(X4897))))&(~in(X4895,relation_dom(X4897))|X4896!=apply(X4897,X4895)|in(ordered_pair(X4895,X4896),X4897)|(~relation(X4897)|~function(X4897)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_funct_1])])])).
% 282.28/198.90 fof(i_0_1006, lemma, ![X1]:(((~empty_carrier(X1)&join_commutative(X1))&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>((below(X1,X2,X3)&below(X1,X3,X2))=>X2=X3)))), inference(fof_simplification,[status(thm)],[t26_lattices])).
% 282.28/198.90 fof(i_0_1007, lemma, ![X1, X2]:(((~empty_carrier(X2)&lattice(X2))&latt_str(X2))=>![X3]:(element(X3,the_carrier(poset_of_lattice(X2)))=>(relstr_set_smaller(poset_of_lattice(X2),X1,X3)<=>latt_element_smaller(X2,cast_to_el_of_lattice(X2,X3),X1)))), inference(fof_simplification,[status(thm)],[t31_lattice3])).
% 282.28/198.90 fof(i_0_1008, lemma, ![X1, X2]:(((~empty_carrier(X2)&lattice(X2))&latt_str(X2))=>![X3]:(element(X3,the_carrier(poset_of_lattice(X2)))=>(relstr_element_smaller(poset_of_lattice(X2),X1,X3)<=>latt_set_smaller(X2,cast_to_el_of_lattice(X2,X3),X1)))), inference(fof_simplification,[status(thm)],[t29_lattice3])).
% 282.28/198.90 fof(i_0_1009, lemma, ![X4474, X4475, X4476]:((in(X4474,relation_dom(X4476))|~in(ordered_pair(X4474,X4475),X4476)|~relation(X4476))&(in(X4475,relation_rng(X4476))|~in(ordered_pair(X4474,X4475),X4476)|~relation(X4476))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relat_1])])])).
% 282.28/198.90 fof(i_0_1010, lemma, ![X4606, X4607, X4608]:((in(X4606,relation_field(X4608))|~in(ordered_pair(X4606,X4607),X4608)|~relation(X4608))&(in(X4607,relation_field(X4608))|~in(ordered_pair(X4606,X4607),X4608)|~relation(X4608))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t30_relat_1])])])).
% 282.28/198.90 fof(i_0_1011, plain, ![X1, X2, X3]:((((((~empty_carrier(X1)&one_sorted_str(X1))&~empty_carrier(X2))&directed_relstr(X2))&net_str(X2,X1))&element(X3,the_carrier(X2)))=>(~empty_carrier(netstr_restr_to_element(X1,X2,X3))&strict_net_str(netstr_restr_to_element(X1,X2,X3),X1))), inference(fof_simplification,[status(thm)],[fc22_waybel_9])).
% 282.28/198.90 fof(i_0_1012, lemma, ![X4697, X4698]:((~being_limit_ordinal(X4697)|(~ordinal(X4698)|(~in(X4698,X4697)|in(succ(X4698),X4697)))|~ordinal(X4697))&((ordinal(esk527_1(X4697))|being_limit_ordinal(X4697)|~ordinal(X4697))&((in(esk527_1(X4697),X4697)|being_limit_ordinal(X4697)|~ordinal(X4697))&(~in(succ(esk527_1(X4697)),X4697)|being_limit_ordinal(X4697)|~ordinal(X4697))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t41_ordinal1])])])])])).
% 282.28/198.90 fof(i_0_1013, lemma, ![X1]:((((~empty_carrier(X1)&meet_commutative(X1))&meet_absorbing(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>below(X1,meet_commut(X1,X2,X3),X2)))), inference(fof_simplification,[status(thm)],[t23_lattices])).
% 282.28/198.90 fof(i_0_1014, plain, ![X1, X2, X3]:((((~empty_carrier(X2)&lattice(X2))&complete_latt_str(X2))&latt_str(X2))=>(in(X1,a_2_3_lattice3(X2,X3))<=>?[X4]:((element(X4,the_carrier(X2))&X1=X4)&latt_set_smaller(X2,X4,X3)))), inference(fof_simplification,[status(thm)],[fraenkel_a_2_3_lattice3])).
% 282.28/198.90 fof(i_0_1015, lemma, ![X4801]:(~relation(X4801)|(in(ordered_pair(esk537_1(X4801),esk538_1(X4801)),X4801)|X4801=empty_set)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_859])])])).
% 282.28/198.90 fof(i_0_1016, plain, ![X1]:((~empty_carrier(X1)&rel_str(X1))=>(directed_relstr(X1)<=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>?[X4]:((element(X4,the_carrier(X1))&related(X1,X2,X4))&related(X1,X3,X4)))))), inference(fof_simplification,[status(thm)],[d5_yellow_6])).
% 282.28/198.90 fof(i_0_1017, plain, ![X1, X2]:((~empty(X1)&~empty(X2))=>![X3]:(relation_of2(X3,X1,X2)=>((function(X3)&quasi_total(X3,X1,X2))=>(((function(X3)&~empty(X3))&v1_partfun1(X3,X1,X2))&quasi_total(X3,X1,X2))))), inference(fof_simplification,[status(thm)],[cc6_funct_2])).
% 282.28/198.90 fof(i_0_1018, lemma, ![X1, X2]:(((~empty_carrier(X2)&lattice(X2))&latt_str(X2))=>![X3]:(element(X3,the_carrier(X2))=>(latt_element_smaller(X2,X3,X1)<=>relstr_set_smaller(poset_of_lattice(X2),X1,cast_to_el_of_LattPOSet(X2,X3))))), inference(fof_simplification,[status(thm)],[t30_lattice3])).
% 282.28/198.90 fof(i_0_1019, lemma, ![X1, X2]:(((~empty_carrier(X2)&lattice(X2))&latt_str(X2))=>![X3]:(element(X3,the_carrier(X2))=>(latt_set_smaller(X2,X3,X1)<=>relstr_element_smaller(poset_of_lattice(X2),X1,cast_to_el_of_LattPOSet(X2,X3))))), inference(fof_simplification,[status(thm)],[t28_lattice3])).
% 282.28/198.90 fof(i_0_1020, plain, ![X1, X2, X3]:(((((((~empty_carrier(X1)&meet_commutative(X1))&meet_absorbing(X1))&join_absorbing(X1))&latt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>(below_refl(X1,X2,X3)<=>below(X1,X2,X3))), inference(fof_simplification,[status(thm)],[redefinition_r3_lattices])).
% 282.28/198.90 fof(i_0_1021, plain, ![X1, X2]:(~empty(X2)=>![X3]:(relation_of2(X3,X1,X2)=>((function(X3)&quasi_total(X3,X1,X2))=>((function(X3)&v1_partfun1(X3,X1,X2))&quasi_total(X3,X1,X2))))), inference(fof_simplification,[status(thm)],[cc5_funct_2])).
% 282.28/198.90 fof(i_0_1022, lemma, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:((~empty_carrier(X2)&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>the_carrier(netstr_restr_to_element(X1,X2,X3))=a_3_0_waybel_9(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[t12_waybel_9])).
% 282.28/198.90 fof(i_0_1023, plain, ![X1, X2, X3]:((~empty_carrier(X2)&latt_str(X2))=>(in(X1,a_2_2_lattice3(X2,X3))<=>?[X4]:((element(X4,the_carrier(X2))&X1=X4)&latt_set_smaller(X2,X4,X3)))), inference(fof_simplification,[status(thm)],[fraenkel_a_2_2_lattice3])).
% 282.28/198.90 fof(i_0_1024, plain, ![X1]:(((~empty_carrier(X1)&topological_space(X1))&top_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,powerset(the_carrier(X1)))=>(point_neighbourhood(X3,X1,X2)<=>in(X2,interior(X1,X3)))))), inference(fof_simplification,[status(thm)],[d1_connsp_2])).
% 282.28/198.90 fof(i_0_1025, lemma, ![X4206, X4207, X4209, X4211, X4212]:(((in(X4209,succ(X4207))|~in(X4209,esk456_2(X4206,X4207))|~ordinal(X4207))&(((ordinal(esk457_3(X4206,X4207,X4209))|~in(X4209,esk456_2(X4206,X4207))|~ordinal(X4207))&(X4209=esk457_3(X4206,X4207,X4209)|~in(X4209,esk456_2(X4206,X4207))|~ordinal(X4207)))&(in(esk457_3(X4206,X4207,X4209),X4206)|~in(X4209,esk456_2(X4206,X4207))|~ordinal(X4207))))&(~in(X4211,succ(X4207))|(~ordinal(X4212)|X4211!=X4212|~in(X4212,X4206))|in(X4211,esk456_2(X4206,X4207))|~ordinal(X4207))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_xboole_0__e8_6__wellord2__1])])])])])])).
% 282.28/198.90 fof(i_0_1026, lemma, ![X1]:((((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))=>![X2]:((((~empty(X2)&filtered_subset(X2,X1))&upper_relstr_subset(X2,X1))&element(X2,powerset(the_carrier(X1))))=>(proper_element(X2,powerset(the_carrier(X1)))<=>~in(bottom_of_relstr(X1),X2)))), inference(fof_simplification,[status(thm)],[t8_waybel_7])).
% 282.28/198.90 fof(i_0_1027, plain, ![X1, X2, X3]:(((((~empty_carrier(X1)&reflexive_relstr(X1))&rel_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>(related_reflexive(X1,X2,X3)<=>related(X1,X2,X3))), inference(fof_simplification,[status(thm)],[redefinition_r3_orders_2])).
% 282.28/198.90 fof(i_0_1028, plain, ![X1]:((~empty_carrier(X1)&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>(below(X1,X2,X3)<=>join(X1,X2,X3)=X3)))), inference(fof_simplification,[status(thm)],[d3_lattices])).
% 282.28/198.90 fof(i_0_1029, plain, ![X1, X2, X3]:((((~empty_carrier(X1)&one_sorted_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>element(unordered_pair_as_carrier_subset(X1,X2,X3),powerset(the_carrier(X1)))), inference(fof_simplification,[status(thm)],[dt_k2_struct_0])).
% 282.28/198.90 fof(i_0_1030, lemma, ![X1]:(((~empty_carrier(X1)&topological_space(X1))&top_str(X1))=>![X2]:((((~empty_carrier(X2)&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(subnet(X3,X1,X2)=>subset(lim_points_of_net(X1,X2),lim_points_of_net(X1,X3))))), inference(fof_simplification,[status(thm)],[t41_yellow_6])).
% 282.28/198.90 fof(i_0_1031, plain, ![X2567, X2568, X2569]:(~relation(X2567)|~function(X2567)|apply_binary(X2567,X2568,X2569)=apply(X2567,ordered_pair(X2568,X2569))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_binop_1])])])).
% 282.28/198.90 fof(i_0_1032, lemma, ![X1]:(((~empty_carrier(X1)&topological_space(X1))&top_str(X1))=>![X2]:((((~empty_carrier(X2)&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X1))=>(in(X3,lim_points_of_net(X1,X2))=>is_a_cluster_point_of_netstr(X1,X2,X3))))), inference(fof_simplification,[status(thm)],[t29_waybel_9])).
% 282.28/198.90 fof(i_0_1033, plain, ![X1, X2, X3]:(((((~empty_carrier(X1)&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>element(meet_commut(X1,X2,X3),the_carrier(X1))), inference(fof_simplification,[status(thm)],[dt_k4_lattices])).
% 282.28/198.90 fof(i_0_1034, plain, ![X1, X2, X3]:(((((~empty_carrier(X1)&join_commutative(X1))&join_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>element(join_commut(X1,X2,X3),the_carrier(X1))), inference(fof_simplification,[status(thm)],[dt_k3_lattices])).
% 282.28/198.90 fof(i_0_1035, plain, ![X3328, X3329]:~empty(ordered_pair(X3328,X3329)), inference(variable_rename,[status(thm)],[i_0_860])).
% 282.28/198.90 fof(i_0_1036, lemma, ![X4648, X4649, X4650, X4651]:((X4648=X4650|ordered_pair(X4648,X4649)!=ordered_pair(X4650,X4651))&(X4649=X4651|ordered_pair(X4648,X4649)!=ordered_pair(X4650,X4651))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_zfmisc_1])])])).
% 282.28/198.90 fof(i_0_1037, plain, ![X1, X2, X3]:((((~empty_carrier(X1)&join_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>element(join(X1,X2,X3),the_carrier(X1))), inference(fof_simplification,[status(thm)],[dt_k1_lattices])).
% 282.28/198.90 fof(i_0_1038, plain, ![X1, X2, X3]:((((~empty_carrier(X1)&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>element(meet(X1,X2,X3),the_carrier(X1))), inference(fof_simplification,[status(thm)],[dt_k2_lattices])).
% 282.28/198.90 fof(i_0_1039, lemma, ![X4459, X4460, X4461]:((join(boole_lattice(X4459),X4460,X4461)=set_union2(X4460,X4461)|~element(X4461,the_carrier(boole_lattice(X4459)))|~element(X4460,the_carrier(boole_lattice(X4459))))&(meet(boole_lattice(X4459),X4460,X4461)=set_intersection2(X4460,X4461)|~element(X4461,the_carrier(boole_lattice(X4459)))|~element(X4460,the_carrier(boole_lattice(X4459))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_lattice3])])])])).
% 282.28/198.90 fof(i_0_1040, lemma, ![X1]:(((~empty_carrier(X1)&topological_space(X1))&top_str(X1))=>![X2]:(element(X2,powerset(the_carrier(X1)))=>![X3]:(element(X3,the_carrier(X1))=>((open_subset(X2,X1)&in(X3,X2))=>point_neighbourhood(X2,X1,X3))))), inference(fof_simplification,[status(thm)],[t5_connsp_2])).
% 282.28/198.90 fof(i_0_1041, lemma, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:((~empty_carrier(X2)&net_str(X2,X1))=>![X3, X4]:(subset(X3,X4)=>((is_eventually_in(X1,X2,X3)=>is_eventually_in(X1,X2,X4))&(is_often_in(X1,X2,X3)=>is_often_in(X1,X2,X4)))))), inference(fof_simplification,[status(thm)],[t8_waybel_0])).
% 282.28/198.90 fof(i_0_1042, lemma, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:(element(X2,powerset(the_carrier(X1)))=>![X3]:(element(X3,the_carrier(X1))=>(in(X3,subset_complement(the_carrier(X1),X2))<=>~in(X3,X2))))), inference(fof_simplification,[status(thm)],[l40_tops_1])).
% 282.28/198.90 fof(i_0_1043, plain, ![X1, X2, X3]:(((((~empty_carrier(X1)&one_sorted_str(X1))&~empty_carrier(X2))&net_str(X2,X1))&element(X3,the_carrier(X2)))=>element(apply_netmap(X1,X2,X3),the_carrier(X1))), inference(fof_simplification,[status(thm)],[dt_k3_waybel_0])).
% 282.28/198.90 fof(i_0_1044, lemma, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:((((~empty_carrier(X2)&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(is_eventually_in(X1,X2,X3)=>is_often_in(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[t28_yellow_6])).
% 282.28/198.90 fof(i_0_1045, lemma, ![X4561, X4562, X4563]:(~subset(X4561,X4562)|subset(set_intersection2(X4561,X4563),set_intersection2(X4562,X4563))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t26_xboole_1])])).
% 282.28/198.90 fof(i_0_1046, plain, ![X1, X2, X3]:(((((~empty_carrier(X1)&join_commutative(X1))&join_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>join_commut(X1,X2,X3)=join(X1,X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k3_lattices])).
% 282.28/198.90 fof(i_0_1047, plain, ![X1, X2, X3]:(((((~empty_carrier(X1)&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>meet_commut(X1,X2,X3)=meet(X1,X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k4_lattices])).
% 282.28/198.90 fof(i_0_1048, plain, ![X1, X2, X3]:(((((~empty_carrier(X1)&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)), inference(fof_simplification,[status(thm)],[commutativity_k4_lattices])).
% 282.28/198.90 fof(i_0_1049, plain, ![X1, X2, X3]:(((((~empty_carrier(X1)&join_commutative(X1))&join_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>join_commut(X1,X2,X3)=join_commut(X1,X3,X2)), inference(fof_simplification,[status(thm)],[commutativity_k3_lattices])).
% 282.28/198.90 fof(i_0_1050, plain, ![X1, X2, X3]:(((((~empty_carrier(X1)&one_sorted_str(X1))&~empty_carrier(X2))&net_str(X2,X1))&element(X3,the_carrier(X2)))=>(strict_net_str(netstr_restr_to_element(X1,X2,X3),X1)&net_str(netstr_restr_to_element(X1,X2,X3),X1))), inference(fof_simplification,[status(thm)],[dt_k5_waybel_9])).
% 282.28/198.90 fof(i_0_1051, plain, ![X1, X2, X3]:((((~empty_carrier(X1)&one_sorted_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>unordered_pair_as_carrier_subset(X1,X2,X3)=unordered_pair_as_carrier_subset(X1,X3,X2)), inference(fof_simplification,[status(thm)],[commutativity_k2_struct_0])).
% 282.28/198.90 fof(i_0_1052, lemma, ![X1]:(((~empty_carrier(X1)&topological_space(X1))&top_str(X1))=>(compact_top_space(X1)<=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>~(((centered(X2)&closed_subsets(X2,X1))&meet_of_subsets(the_carrier(X1),X2)=empty_set))))), inference(fof_simplification,[status(thm)],[t13_compts_1])).
% 282.28/198.90 fof(i_0_1053, lemma, ![X4643, X4644]:((~in(X4643,X4644)|ordinal_subset(succ(X4643),X4644)|~ordinal(X4644)|~ordinal(X4643))&(~ordinal_subset(succ(X4643),X4644)|in(X4643,X4644)|~ordinal(X4644)|~ordinal(X4643))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_ordinal1])])])])).
% 282.28/198.90 fof(i_0_1054, lemma, ![X4745, X4746]:(~element(X4746,powerset(powerset(X4745)))|(X4746=empty_set|subset_difference(X4745,cast_to_subset(X4745),union_of_subsets(X4745,X4746))=meet_of_subsets(X4745,complements_of_subsets(X4745,X4746)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t47_setfam_1])])).
% 282.28/198.90 fof(i_0_1055, plain, ![X2869]:cast_to_subset(X2869)=X2869, inference(variable_rename,[status(thm)],[d4_subset_1])).
% 282.28/198.90 fof(i_0_1056, lemma, ![X4749, X4750]:(~element(X4750,powerset(powerset(X4749)))|(X4750=empty_set|union_of_subsets(X4749,complements_of_subsets(X4749,X4750))=subset_difference(X4749,cast_to_subset(X4749),meet_of_subsets(X4749,X4750)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_setfam_1])])).
% 282.28/198.90 fof(i_0_1057, plain, ![X1, X2]:((((~empty_carrier(X1)&topological_space(X1))&top_str(X1))&element(X2,the_carrier(X1)))=>![X3]:(point_neighbourhood(X3,X1,X2)=>element(X3,powerset(the_carrier(X1))))), inference(fof_simplification,[status(thm)],[dt_m1_connsp_2])).
% 282.28/198.90 fof(i_0_1058, lemma, ![X4762, X4763, X4765, X4766, X4767]:((disjoint(X4762,X4763)|in(esk532_2(X4762,X4763),set_intersection2(X4762,X4763)))&(~in(X4767,set_intersection2(X4765,X4766))|~disjoint(X4765,X4766))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_861])])])])])).
% 282.28/198.90 fof(i_0_1059, plain, ![X3697, X3698, X3699]:(~element(X3698,powerset(X3697))|~element(X3699,powerset(X3697))|subset_intersection2(X3697,X3698,X3699)=set_intersection2(X3698,X3699)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])])).
% 282.28/198.90 fof(i_0_1060, plain, ![X1, X2]:((((((~empty_carrier(X1)&one_sorted_str(X1))&~empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(subnet(X3,X1,X2)=>(((~empty_carrier(X3)&transitive_relstr(X3))&directed_relstr(X3))&net_str(X3,X1)))), inference(fof_simplification,[status(thm)],[dt_m2_yellow_6])).
% 282.28/198.90 fof(i_0_1061, plain, ![X1, X2, X3]:(((((((~empty_carrier(X1)&meet_commutative(X1))&meet_absorbing(X1))&join_absorbing(X1))&latt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>below_refl(X1,X2,X2)), inference(fof_simplification,[status(thm)],[reflexivity_r3_lattices])).
% 282.28/198.90 fof(i_0_1062, lemma, ![X4375, X4376]:(~relation(X4376)|relation_image(X4376,X4375)=relation_image(X4376,set_intersection2(relation_dom(X4376),X4375))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t145_relat_1])])).
% 282.28/198.90 fof(i_0_1063, plain, ![X1, X2, X3]:((((~empty_carrier(X1)&one_sorted_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>unordered_pair_as_carrier_subset(X1,X2,X3)=unordered_pair(X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k2_struct_0])).
% 282.28/198.90 fof(i_0_1064, plain, ![X3339]:(((((~empty(succ(X3339))|(~ordinal(X3339)|~natural(X3339)))&(epsilon_transitive(succ(X3339))|(~ordinal(X3339)|~natural(X3339))))&(epsilon_connected(succ(X3339))|(~ordinal(X3339)|~natural(X3339))))&(ordinal(succ(X3339))|(~ordinal(X3339)|~natural(X3339))))&(natural(succ(X3339))|(~ordinal(X3339)|~natural(X3339)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_862])])])).
% 282.28/198.90 fof(i_0_1065, plain, ![X1, X2]:((~empty(X1)&relation_of2(X2,X1,X1))=>(~empty_carrier(rel_str_of(X1,X2))&strict_rel_str(rel_str_of(X1,X2)))), inference(fof_simplification,[status(thm)],[fc1_orders_2])).
% 282.28/198.90 fof(i_0_1066, plain, ![X1, X2, X3]:(((((~empty_carrier(X1)&reflexive_relstr(X1))&rel_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>related_reflexive(X1,X2,X2)), inference(fof_simplification,[status(thm)],[reflexivity_r3_orders_2])).
% 282.28/198.90 fof(i_0_1067, lemma, ![X4452, X4453, X4454]:(~subset(X4452,X4453)|~subset(X4452,X4454)|subset(X4452,set_intersection2(X4453,X4454))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_xboole_1])])).
% 282.28/198.90 fof(i_0_1068, plain, ![X3385]:((((~empty(succ(X3385))|~ordinal(X3385))&(epsilon_transitive(succ(X3385))|~ordinal(X3385)))&(epsilon_connected(succ(X3385))|~ordinal(X3385)))&(ordinal(succ(X3385))|~ordinal(X3385))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_863])])])).
% 282.28/198.90 fof(i_0_1069, plain, ![X1]:(((~empty_carrier(X1)&meet_associative(X1))&meet_semilatt_str(X1))=>((((relation(the_L_meet(X1))&function(the_L_meet(X1)))&quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))&v2_binop_1(the_L_meet(X1),the_carrier(X1)))&v1_partfun1(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))), inference(fof_simplification,[status(thm)],[fc5_lattice2])).
% 282.28/198.90 fof(i_0_1070, plain, ![X1]:(((~empty_carrier(X1)&meet_commutative(X1))&meet_semilatt_str(X1))=>((((relation(the_L_meet(X1))&function(the_L_meet(X1)))&quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))&v1_binop_1(the_L_meet(X1),the_carrier(X1)))&v1_partfun1(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))), inference(fof_simplification,[status(thm)],[fc4_lattice2])).
% 282.28/198.90 fof(i_0_1071, plain, ![X1]:(((~empty_carrier(X1)&join_associative(X1))&join_semilatt_str(X1))=>((((relation(the_L_join(X1))&function(the_L_join(X1)))&quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))&v2_binop_1(the_L_join(X1),the_carrier(X1)))&v1_partfun1(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))), inference(fof_simplification,[status(thm)],[fc3_lattice2])).
% 282.28/198.90 fof(i_0_1072, plain, ![X1]:(((~empty_carrier(X1)&join_commutative(X1))&join_semilatt_str(X1))=>((((relation(the_L_join(X1))&function(the_L_join(X1)))&quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))&v1_binop_1(the_L_join(X1),the_carrier(X1)))&v1_partfun1(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1)))), inference(fof_simplification,[status(thm)],[fc2_lattice2])).
% 282.28/198.90 fof(i_0_1073, lemma, ![X4877, X4878]:(pair_first(ordered_pair(X4877,X4878))=X4877&pair_second(ordered_pair(X4877,X4878))=X4878), inference(variable_rename,[status(thm)],[t7_mcart_1])).
% 282.28/198.90 fof(i_0_1074, plain, ![X1, X2]:((((((~empty_carrier(X1)&one_sorted_str(X1))&~empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>?[X3]:subnet(X3,X1,X2)), inference(fof_simplification,[status(thm)],[existence_m2_yellow_6])).
% 282.28/198.90 fof(i_0_1075, plain, ![X1, X2]:((((~empty_carrier(X1)&topological_space(X1))&top_str(X1))&element(X2,the_carrier(X1)))=>?[X3]:point_neighbourhood(X3,X1,X2)), inference(fof_simplification,[status(thm)],[existence_m1_connsp_2])).
% 282.28/198.90 fof(i_0_1076, plain, ![X1, X2]:((((~empty_carrier(X1)&one_sorted_str(X1))&~empty_carrier(X2))&net_str(X2,X1))=>(((~empty(the_mapping(X1,X2))&relation(the_mapping(X1,X2)))&function(the_mapping(X1,X2)))&quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)))), inference(fof_simplification,[status(thm)],[fc15_yellow_6])).
% 282.28/198.90 fof(i_0_1077, lemma, ![X4239, X4244, X4246]:((((((((relation(esk475_1(X4239))|(in(esk474_1(X4239),X4239)|in(esk471_1(X4239),X4239)))&(function(esk475_1(X4239))|(in(esk474_1(X4239),X4239)|in(esk471_1(X4239),X4239))))&(relation_dom(esk475_1(X4239))=X4239|(in(esk474_1(X4239),X4239)|in(esk471_1(X4239),X4239))))&(~in(X4246,X4239)|apply(esk475_1(X4239),X4246)=singleton(X4246)|(in(esk474_1(X4239),X4239)|in(esk471_1(X4239),X4239))))&((((relation(esk475_1(X4239))|(X4244!=singleton(esk474_1(X4239))|in(esk471_1(X4239),X4239)))&(function(esk475_1(X4239))|(X4244!=singleton(esk474_1(X4239))|in(esk471_1(X4239),X4239))))&(relation_dom(esk475_1(X4239))=X4239|(X4244!=singleton(esk474_1(X4239))|in(esk471_1(X4239),X4239))))&(~in(X4246,X4239)|apply(esk475_1(X4239),X4246)=singleton(X4246)|(X4244!=singleton(esk474_1(X4239))|in(esk471_1(X4239),X4239)))))&(((((relation(esk475_1(X4239))|(in(esk474_1(X4239),X4239)|esk472_1(X4239)=singleton(esk471_1(X4239))))&(function(esk475_1(X4239))|(in(esk474_1(X4239),X4239)|esk472_1(X4239)=singleton(esk471_1(X4239)))))&(relation_dom(esk475_1(X4239))=X4239|(in(esk474_1(X4239),X4239)|esk472_1(X4239)=singleton(esk471_1(X4239)))))&(~in(X4246,X4239)|apply(esk475_1(X4239),X4246)=singleton(X4246)|(in(esk474_1(X4239),X4239)|esk472_1(X4239)=singleton(esk471_1(X4239)))))&((((relation(esk475_1(X4239))|(X4244!=singleton(esk474_1(X4239))|esk472_1(X4239)=singleton(esk471_1(X4239))))&(function(esk475_1(X4239))|(X4244!=singleton(esk474_1(X4239))|esk472_1(X4239)=singleton(esk471_1(X4239)))))&(relation_dom(esk475_1(X4239))=X4239|(X4244!=singleton(esk474_1(X4239))|esk472_1(X4239)=singleton(esk471_1(X4239)))))&(~in(X4246,X4239)|apply(esk475_1(X4239),X4246)=singleton(X4246)|(X4244!=singleton(esk474_1(X4239))|esk472_1(X4239)=singleton(esk471_1(X4239)))))))&(((((relation(esk475_1(X4239))|(in(esk474_1(X4239),X4239)|esk473_1(X4239)=singleton(esk471_1(X4239))))&(function(esk475_1(X4239))|(in(esk474_1(X4239),X4239)|esk473_1(X4239)=singleton(esk471_1(X4239)))))&(relation_dom(esk475_1(X4239))=X4239|(in(esk474_1(X4239),X4239)|esk473_1(X4239)=singleton(esk471_1(X4239)))))&(~in(X4246,X4239)|apply(esk475_1(X4239),X4246)=singleton(X4246)|(in(esk474_1(X4239),X4239)|esk473_1(X4239)=singleton(esk471_1(X4239)))))&((((relation(esk475_1(X4239))|(X4244!=singleton(esk474_1(X4239))|esk473_1(X4239)=singleton(esk471_1(X4239))))&(function(esk475_1(X4239))|(X4244!=singleton(esk474_1(X4239))|esk473_1(X4239)=singleton(esk471_1(X4239)))))&(relation_dom(esk475_1(X4239))=X4239|(X4244!=singleton(esk474_1(X4239))|esk473_1(X4239)=singleton(esk471_1(X4239)))))&(~in(X4246,X4239)|apply(esk475_1(X4239),X4246)=singleton(X4246)|(X4244!=singleton(esk474_1(X4239))|esk473_1(X4239)=singleton(esk471_1(X4239)))))))&(((((relation(esk475_1(X4239))|(in(esk474_1(X4239),X4239)|esk472_1(X4239)!=esk473_1(X4239)))&(function(esk475_1(X4239))|(in(esk474_1(X4239),X4239)|esk472_1(X4239)!=esk473_1(X4239))))&(relation_dom(esk475_1(X4239))=X4239|(in(esk474_1(X4239),X4239)|esk472_1(X4239)!=esk473_1(X4239))))&(~in(X4246,X4239)|apply(esk475_1(X4239),X4246)=singleton(X4246)|(in(esk474_1(X4239),X4239)|esk472_1(X4239)!=esk473_1(X4239))))&((((relation(esk475_1(X4239))|(X4244!=singleton(esk474_1(X4239))|esk472_1(X4239)!=esk473_1(X4239)))&(function(esk475_1(X4239))|(X4244!=singleton(esk474_1(X4239))|esk472_1(X4239)!=esk473_1(X4239))))&(relation_dom(esk475_1(X4239))=X4239|(X4244!=singleton(esk474_1(X4239))|esk472_1(X4239)!=esk473_1(X4239))))&(~in(X4246,X4239)|apply(esk475_1(X4239),X4246)=singleton(X4246)|(X4244!=singleton(esk474_1(X4239))|esk472_1(X4239)!=esk473_1(X4239)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s2_funct_1__e16_22__wellord2__1])])])])])).
% 282.28/198.90 fof(i_0_1078, plain, ![X3889, X3894, X3896, X3897]:(((((((in(esk315_2(X3889,X3894),X3889)|~in(X3894,esk314_1(X3889))|in(esk311_1(X3889),X3889))&(X3894=singleton(esk315_2(X3889,X3894))|~in(X3894,esk314_1(X3889))|in(esk311_1(X3889),X3889)))&(~in(X3897,X3889)|X3896!=singleton(X3897)|in(X3896,esk314_1(X3889))|in(esk311_1(X3889),X3889)))&(((in(esk315_2(X3889,X3894),X3889)|~in(X3894,esk314_1(X3889))|esk312_1(X3889)=singleton(esk311_1(X3889)))&(X3894=singleton(esk315_2(X3889,X3894))|~in(X3894,esk314_1(X3889))|esk312_1(X3889)=singleton(esk311_1(X3889))))&(~in(X3897,X3889)|X3896!=singleton(X3897)|in(X3896,esk314_1(X3889))|esk312_1(X3889)=singleton(esk311_1(X3889)))))&(((in(esk315_2(X3889,X3894),X3889)|~in(X3894,esk314_1(X3889))|in(esk311_1(X3889),X3889))&(X3894=singleton(esk315_2(X3889,X3894))|~in(X3894,esk314_1(X3889))|in(esk311_1(X3889),X3889)))&(~in(X3897,X3889)|X3896!=singleton(X3897)|in(X3896,esk314_1(X3889))|in(esk311_1(X3889),X3889))))&(((in(esk315_2(X3889,X3894),X3889)|~in(X3894,esk314_1(X3889))|esk313_1(X3889)=singleton(esk311_1(X3889)))&(X3894=singleton(esk315_2(X3889,X3894))|~in(X3894,esk314_1(X3889))|esk313_1(X3889)=singleton(esk311_1(X3889))))&(~in(X3897,X3889)|X3896!=singleton(X3897)|in(X3896,esk314_1(X3889))|esk313_1(X3889)=singleton(esk311_1(X3889)))))&(((in(esk315_2(X3889,X3894),X3889)|~in(X3894,esk314_1(X3889))|esk312_1(X3889)!=esk313_1(X3889))&(X3894=singleton(esk315_2(X3889,X3894))|~in(X3894,esk314_1(X3889))|esk312_1(X3889)!=esk313_1(X3889)))&(~in(X3897,X3889)|X3896!=singleton(X3897)|in(X3896,esk314_1(X3889))|esk312_1(X3889)!=esk313_1(X3889)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_864])])])])])])).
% 282.28/198.90 fof(i_0_1079, lemma, ![X1]:(relation(X1)=>![X2]:(relation(X2)=>![X3]:((relation(X3)&function(X3))=>(relation_isomorphism(X1,X2,X3)=>epred3_2(X2,X1))))), inference(apply_def,[status(thm)],[t53_wellord1, c_0_865])).
% 282.28/198.90 fof(i_0_1080, lemma, ![X3523, X3524, X3525]:(~subset(X3523,X3524)|(in(X3525,X3523)|subset(X3523,set_difference(X3524,singleton(X3525))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l3_zfmisc_1])])).
% 282.28/198.90 fof(i_0_1081, plain, ![X3317]:~empty(succ(X3317)), inference(variable_rename,[status(thm)],[i_0_866])).
% 282.28/198.90 fof(i_0_1082, lemma, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>~((is_a_cover_of_carrier(X1,X2)&X2=empty_set)))), inference(fof_simplification,[status(thm)],[t5_tops_2])).
% 282.28/198.90 fof(i_0_1083, lemma, ![X1]:((((~empty_carrier(X1)&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>related(X1,bottom_of_relstr(X1),X2))), inference(fof_simplification,[status(thm)],[t44_yellow_0])).
% 282.28/198.90 fof(i_0_1084, plain, ![X1, X2]:(((((((~empty_carrier(X1)&topological_space(X1))&top_str(X1))&~empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>element(lim_points_of_net(X1,X2),powerset(the_carrier(X1)))), inference(fof_simplification,[status(thm)],[dt_k11_yellow_6])).
% 282.28/198.90 fof(i_0_1085, plain, ![X1, X2]:((((~empty_carrier(X1)&lattice(X1))&latt_str(X1))&element(X2,the_carrier(poset_of_lattice(X1))))=>element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))), inference(fof_simplification,[status(thm)],[dt_k5_lattice3])).
% 282.28/198.90 fof(i_0_1086, plain, ![X1, X2]:(((one_sorted_str(X1)&~empty_carrier(X2))&net_str(X2,X1))=>?[X3]:(((subnetstr(X3,X1,X2)&~empty_carrier(X3))&strict_net_str(X3,X1))&full_subnetstr(X3,X1,X2))), inference(fof_simplification,[status(thm)],[rc7_yellow_6])).
% 282.28/198.90 fof(i_0_1087, plain, ![X2952, X2953]:(~relation(X2952)|relation_restriction(X2952,X2953)=set_intersection2(X2952,cartesian_product2(X2953,X2953))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_wellord1])])])).
% 282.28/198.90 fof(i_0_1088, lemma, ![X1]:(X1!=empty_set=>![X2]:(element(X2,powerset(X1))=>![X3]:(element(X3,X1)=>(~in(X3,X2)=>in(X3,subset_complement(X1,X2)))))), inference(fof_simplification,[status(thm)],[t50_subset_1])).
% 282.28/198.90 fof(i_0_1089, plain, ![X1, X2]:((((~empty_carrier(X1)&lattice(X1))&latt_str(X1))&element(X2,the_carrier(X1)))=>element(cast_to_el_of_LattPOSet(X1,X2),the_carrier(poset_of_lattice(X1)))), inference(fof_simplification,[status(thm)],[dt_k4_lattice3])).
% 282.28/198.90 fof(i_0_1090, lemma, ![X4859, X4860]:(~subset(singleton(X4859),singleton(X4860))|X4859=X4860), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_zfmisc_1])])).
% 282.28/198.90 fof(i_0_1091, plain, ![X2655, X2656, X2657, X2658, X2659, X2660]:(((~in(X2657,X2656)|X2657=X2655|X2656!=singleton(X2655))&(X2658!=X2655|in(X2658,X2656)|X2656!=singleton(X2655)))&((~in(esk56_2(X2659,X2660),X2660)|esk56_2(X2659,X2660)!=X2659|X2660=singleton(X2659))&(in(esk56_2(X2659,X2660),X2660)|esk56_2(X2659,X2660)=X2659|X2660=singleton(X2659)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tarski])])])])])])).
% 282.28/198.90 fof(i_0_1092, lemma, ![X1]:(~empty(X1)=>~((![X2]:~((in(X2,X1)&X2=empty_set))&![X2]:((relation(X2)&function(X2))=>~((relation_dom(X2)=X1&![X3]:(in(X3,X1)=>in(apply(X2,X3),X3)))))))), inference(fof_simplification,[status(thm)],[t28_wellord2])).
% 282.28/198.90 fof(i_0_1093, plain, ![X3319, X3320]:(~relation(X3319)|~relation(X3320)|relation(set_intersection2(X3319,X3320))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_relat_1])])).
% 282.28/198.90 fof(i_0_1094, lemma, ![X4325, X4326]:(~relation(X4326)|relation_rng(relation_rng_restriction(X4325,X4326))=set_intersection2(relation_rng(X4326),X4325)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t119_relat_1])])).
% 282.28/198.90 fof(i_0_1095, lemma, ![X4911, X4912]:(~relation(X4912)|relation_dom(relation_dom_restriction(X4912,X4911))=set_intersection2(relation_dom(X4912),X4911)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t90_relat_1])])).
% 282.28/198.90 fof(i_0_1096, plain, ![X1]:?[X2]:(((in(X1,X2)&![X3, X4]:((in(X3,X2)&subset(X4,X3))=>in(X4,X2)))&![X3]:~((in(X3,X2)&![X4]:~((in(X4,X2)&![X5]:(subset(X5,X3)=>in(X5,X4)))))))&![X3]:~(((subset(X3,X2)&~are_equipotent(X3,X2))&~in(X3,X2)))), inference(fof_simplification,[status(thm)],[t9_tarski])).
% 282.28/198.90 fof(i_0_1097, lemma, ![X4440, X4441]:subset(set_intersection2(X4440,X4441),X4440), inference(variable_rename,[status(thm)],[t17_xboole_1])).
% 282.28/198.90 fof(i_0_1098, lemma, ![X4306]:in(X4306,succ(X4306)), inference(variable_rename,[status(thm)],[t10_ordinal1])).
% 282.28/198.90 fof(i_0_1099, plain, ![X1]:(((~empty_carrier(X1)&lattice(X1))&latt_str(X1))=>((((reflexive(k2_lattice3(X1))&antisymmetric(k2_lattice3(X1)))&transitive(k2_lattice3(X1)))&v1_partfun1(k2_lattice3(X1),the_carrier(X1),the_carrier(X1)))&relation_of2_as_subset(k2_lattice3(X1),the_carrier(X1),the_carrier(X1)))), inference(fof_simplification,[status(thm)],[dt_k2_lattice3])).
% 282.28/198.90 fof(i_0_1100, lemma, ![X4386, X4387]:(~finite(X4386)|finite(set_intersection2(X4386,X4387))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t15_finset_1])])).
% 282.28/198.90 fof(i_0_1101, plain, ![X3292, X3293]:(~finite(X3292)|finite(set_intersection2(X3292,X3293))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc11_finset_1])])).
% 282.28/198.90 fof(i_0_1102, plain, ![X3288, X3289]:(~finite(X3289)|finite(set_intersection2(X3288,X3289))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_finset_1])])).
% 282.28/198.90 fof(i_0_1103, plain, ![X3367, X3368]:(((((v1_membered(set_intersection2(X3367,X3368))|~v5_membered(X3367))&(v2_membered(set_intersection2(X3367,X3368))|~v5_membered(X3367)))&(v3_membered(set_intersection2(X3367,X3368))|~v5_membered(X3367)))&(v4_membered(set_intersection2(X3367,X3368))|~v5_membered(X3367)))&(v5_membered(set_intersection2(X3367,X3368))|~v5_membered(X3367))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc35_membered])])])).
% 282.28/198.90 fof(i_0_1104, plain, ![X3369, X3370]:(((((v1_membered(set_intersection2(X3370,X3369))|~v5_membered(X3369))&(v2_membered(set_intersection2(X3370,X3369))|~v5_membered(X3369)))&(v3_membered(set_intersection2(X3370,X3369))|~v5_membered(X3369)))&(v4_membered(set_intersection2(X3370,X3369))|~v5_membered(X3369)))&(v5_membered(set_intersection2(X3370,X3369))|~v5_membered(X3369))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc36_membered])])])).
% 282.28/198.90 fof(i_0_1105, plain, ![X3363, X3364]:((((v1_membered(set_intersection2(X3363,X3364))|~v4_membered(X3363))&(v2_membered(set_intersection2(X3363,X3364))|~v4_membered(X3363)))&(v3_membered(set_intersection2(X3363,X3364))|~v4_membered(X3363)))&(v4_membered(set_intersection2(X3363,X3364))|~v4_membered(X3363))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc33_membered])])])).
% 282.28/198.90 fof(i_0_1106, plain, ![X3365, X3366]:((((v1_membered(set_intersection2(X3366,X3365))|~v4_membered(X3365))&(v2_membered(set_intersection2(X3366,X3365))|~v4_membered(X3365)))&(v3_membered(set_intersection2(X3366,X3365))|~v4_membered(X3365)))&(v4_membered(set_intersection2(X3366,X3365))|~v4_membered(X3365))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc34_membered])])])).
% 282.28/198.90 fof(i_0_1107, plain, ![X3359, X3360]:(((v1_membered(set_intersection2(X3359,X3360))|~v3_membered(X3359))&(v2_membered(set_intersection2(X3359,X3360))|~v3_membered(X3359)))&(v3_membered(set_intersection2(X3359,X3360))|~v3_membered(X3359))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc31_membered])])])).
% 282.28/198.90 fof(i_0_1108, plain, ![X3361, X3362]:(((v1_membered(set_intersection2(X3362,X3361))|~v3_membered(X3361))&(v2_membered(set_intersection2(X3362,X3361))|~v3_membered(X3361)))&(v3_membered(set_intersection2(X3362,X3361))|~v3_membered(X3361))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc32_membered])])])).
% 282.28/198.90 fof(i_0_1109, plain, ![X3337, X3338]:((v1_membered(set_intersection2(X3337,X3338))|~v2_membered(X3337))&(v2_membered(set_intersection2(X3337,X3338))|~v2_membered(X3337))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc29_membered])])])).
% 282.28/198.90 fof(i_0_1110, plain, ![X3357, X3358]:((v1_membered(set_intersection2(X3358,X3357))|~v2_membered(X3357))&(v2_membered(set_intersection2(X3358,X3357))|~v2_membered(X3357))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc30_membered])])])).
% 282.28/198.90 fof(i_0_1111, plain, ![X3333, X3334]:(~v1_membered(X3333)|v1_membered(set_intersection2(X3333,X3334))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc27_membered])])).
% 282.28/198.90 fof(i_0_1112, plain, ![X3335, X3336]:(~v1_membered(X3335)|v1_membered(set_intersection2(X3336,X3335))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc28_membered])])).
% 282.28/198.90 fof(i_0_1113, lemma, ![X4838, X4839]:((set_difference(X4838,singleton(X4839))!=X4838|~in(X4839,X4838))&(in(X4839,X4838)|set_difference(X4838,singleton(X4839))=X4838)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_867])])).
% 282.28/198.90 fof(i_0_1114, lemma, ![X1, X2]:(relation(X2)=>~(((well_ordering(X2)&equipotent(X1,relation_field(X2)))&![X3]:(relation(X3)=>~well_orders(X3,X1))))), inference(fof_simplification,[status(thm)],[l30_wellord2])).
% 282.28/198.90 fof(i_0_1115, lemma, ![X4703, X4705]:(((ordinal(esk528_1(X4703))|being_limit_ordinal(X4703)|~ordinal(X4703))&(X4703=succ(esk528_1(X4703))|being_limit_ordinal(X4703)|~ordinal(X4703)))&(~ordinal(X4705)|X4703!=succ(X4705)|~being_limit_ordinal(X4703)|~ordinal(X4703))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_868])])])])])).
% 282.28/198.90 fof(i_0_1116, lemma, ![X3495, X3496]:(~disjoint(singleton(X3495),X3496)|~in(X3495,X3496)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l25_zfmisc_1])])).
% 282.28/198.90 fof(i_0_1117, plain, ![X1]:(((~empty_carrier(X1)&lattice(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(poset_of_lattice(X1)))=>cast_to_el_of_lattice(X1,X2)=X2)), inference(fof_simplification,[status(thm)],[d4_lattice3])).
% 282.28/198.90 fof(i_0_1118, plain, ![X1]:(((~empty_carrier(X1)&connected_relstr(X1))&rel_str(X1))=>![X2]:(element(X2,powerset(the_carrier(X1)))=>(directed_subset(X2,X1)&filtered_subset(X2,X1)))), inference(fof_simplification,[status(thm)],[cc1_waybel_3])).
% 282.28/198.90 fof(i_0_1119, plain, ![X1]:(((((((~empty_carrier(X1)&~trivial_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&upper_bounded_relstr(X1))&rel_str(X1))=>?[X2]:((((element(X2,powerset(the_carrier(X1)))&~empty(X2))&proper_element(X2,powerset(the_carrier(X1))))&filtered_subset(X2,X1))&upper_relstr_subset(X2,X1))), inference(fof_simplification,[status(thm)],[rc4_waybel_7])).
% 282.28/198.90 fof(i_0_1120, plain, ![X1]:(epsilon_connected(X1)<=>![X2, X3]:~(((((in(X2,X1)&in(X3,X1))&~in(X2,X3))&X2!=X3)&~in(X3,X2)))), inference(fof_simplification,[status(thm)],[d3_ordinal1])).
% 282.28/198.90 fof(i_0_1121, lemma, ![X4678, X4679]:((~subset(X4678,singleton(X4679))|(X4678=empty_set|X4678=singleton(X4679)))&((X4678!=empty_set|subset(X4678,singleton(X4679)))&(X4678!=singleton(X4679)|subset(X4678,singleton(X4679))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t39_zfmisc_1])])])).
% 282.28/198.90 fof(i_0_1122, lemma, ![X3534, X3535]:((~subset(X3534,singleton(X3535))|(X3534=empty_set|X3534=singleton(X3535)))&((X3534!=empty_set|subset(X3534,singleton(X3535)))&(X3534!=singleton(X3535)|subset(X3534,singleton(X3535))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l4_zfmisc_1])])])).
% 282.28/198.90 fof(i_0_1123, negated_conjecture, (~empty(esk518_0)&(((((~empty(esk519_0)&filtered_subset(esk519_0,boole_POSet(esk518_0)))&upper_relstr_subset(esk519_0,boole_POSet(esk518_0)))&proper_element(esk519_0,powerset(the_carrier(boole_POSet(esk518_0)))))&element(esk519_0,powerset(the_carrier(boole_POSet(esk518_0)))))&(in(esk520_0,esk519_0)&empty(esk520_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_869])])])).
% 282.28/198.90 fof(i_0_1124, plain, ![X2398, X2399]:set_intersection2(X2398,X2399)=set_intersection2(X2399,X2398), inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0])).
% 282.28/198.90 fof(i_0_1125, lemma, ![X4669, X4670]:((~subset(singleton(X4669),X4670)|in(X4669,X4670))&(~in(X4669,X4670)|subset(singleton(X4669),X4670))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_zfmisc_1])])).
% 282.28/198.90 fof(i_0_1126, lemma, ![X3508, X3509]:((~subset(singleton(X3508),X3509)|in(X3508,X3509))&(~in(X3508,X3509)|subset(singleton(X3508),X3509))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l2_zfmisc_1])])).
% 282.28/198.90 fof(i_0_1127, plain, ![X2982, X2983]:((~disjoint(X2982,X2983)|set_intersection2(X2982,X2983)=empty_set)&(set_intersection2(X2982,X2983)!=empty_set|disjoint(X2982,X2983))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_xboole_0])])).
% 282.28/198.90 fof(i_0_1128, lemma, ![X1]:?[X2]:(((in(X1,X2)&![X3, X4]:((in(X3,X2)&subset(X4,X3))=>in(X4,X2)))&![X3]:(in(X3,X2)=>in(powerset(X3),X2)))&![X3]:~(((subset(X3,X2)&~are_equipotent(X3,X2))&~in(X3,X2)))), inference(fof_simplification,[status(thm)],[t136_zfmisc_1])).
% 282.28/198.90 fof(i_0_1129, plain, ![X1]:(rel_str(X1)=>(((((((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&bounded_relstr(X1))&distributive_relstr(X1))&complemented_relstr(X1))=>(((((((((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&distributive_relstr(X1))&complemented_relstr(X1))&boolean_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc9_waybel_1])).
% 282.28/198.90 fof(i_0_1130, plain, ![X3122]:((((reflexive(inclusion_order(X3122))&antisymmetric(inclusion_order(X3122)))&transitive(inclusion_order(X3122)))&v1_partfun1(inclusion_order(X3122),X3122,X3122))&relation_of2_as_subset(inclusion_order(X3122),X3122,X3122)), inference(variable_rename,[status(thm)],[dt_k1_yellow_1])).
% 282.28/198.90 fof(i_0_1131, plain, ![X1]:(one_sorted_str(X1)=>?[X2]:((element(X2,powerset(powerset(the_carrier(X1))))&~empty(X2))&finite(X2))), inference(fof_simplification,[status(thm)],[rc3_waybel_7])).
% 282.28/198.90 fof(i_0_1132, lemma, ![X1, X2]:(~((~disjoint(X1,X2)&![X3]:~((in(X3,X1)&in(X3,X2)))))&~((?[X3]:(in(X3,X1)&in(X3,X2))&disjoint(X1,X2)))), inference(fof_simplification,[status(thm)],[t3_xboole_0])).
% 282.28/198.90 fof(i_0_1133, plain, ![X1]:(((~empty_carrier(X1)&lattice(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>cast_to_el_of_LattPOSet(X1,X2)=X2)), inference(fof_simplification,[status(thm)],[d3_lattice3])).
% 282.28/198.90 fof(i_0_1134, plain, ![X1]:((~empty_carrier(X1)&latt_str(X1))=>![X2]:meet_of_latt_set(X1,X2)=join_of_latt_set(X1,a_2_2_lattice3(X1,X2))), inference(fof_simplification,[status(thm)],[d22_lattice3])).
% 282.28/198.90 fof(i_0_1135, plain, ![X1]:((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&rel_str(X1))=>?[X2]:(((element(X2,powerset(the_carrier(X1)))&~empty(X2))&filtered_subset(X2,X1))&upper_relstr_subset(X2,X1))), inference(fof_simplification,[status(thm)],[rc10_waybel_0])).
% 282.28/198.90 fof(i_0_1136, plain, ![X1]:(rel_str(X1)=>(((((((reflexive_relstr(X1)&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&v3_waybel_3(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))=>((((((((((((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1))&~v1_yellow_3(X1))&v1_waybel_2(X1))&v2_waybel_2(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc4_waybel_4])).
% 282.28/198.90 fof(i_0_1137, plain, ![X1]:(rel_str(X1)=>(((((((reflexive_relstr(X1)&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&lower_bounded_relstr(X1))&up_complete_relstr(X1))&v2_waybel_3(X1))=>((((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&lower_bounded_relstr(X1))&v3_waybel_3(X1)))), inference(fof_simplification,[status(thm)],[cc5_waybel_3])).
% 282.28/198.90 fof(i_0_1138, lemma, ![X4741, X4742]:(~in(X4741,X4742)|set_union2(singleton(X4741),X4742)=X4742), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_zfmisc_1])])).
% 282.28/198.90 fof(i_0_1139, lemma, ![X3493, X3494]:(~in(X3493,X3494)|set_union2(singleton(X3493),X3494)=X3494), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l23_zfmisc_1])])).
% 282.28/198.90 fof(i_0_1140, lemma, ![X4571, X4572]:(~subset(X4571,X4572)|set_intersection2(X4571,X4572)=X4571), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t28_xboole_1])])).
% 282.28/198.90 fof(i_0_1141, plain, ![X3195]:(v1_partfun1(identity_as_relation_of(X3195),X3195,X3195)&relation_of2_as_subset(identity_as_relation_of(X3195),X3195,X3195)), inference(variable_rename,[status(thm)],[dt_k6_partfun1])).
% 282.28/198.90 fof(i_0_1142, plain, ![X3700]:identity_as_relation_of(X3700)=identity_relation(X3700), inference(variable_rename,[status(thm)],[redefinition_k6_partfun1])).
% 282.28/198.90 fof(i_0_1143, lemma, ![X1]:((((~empty_carrier(X1)&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>![X2]:(join_of_latt_set(X1,X2)=join_on_relstr(poset_of_lattice(X1),X2)&meet_of_latt_set(X1,X2)=meet_on_relstr(poset_of_lattice(X1),X2))), inference(fof_simplification,[status(thm)],[t29_yellow_0])).
% 282.28/198.90 fof(i_0_1144, plain, ![X1]:(latt_str(X1)=>(((((((~empty_carrier(X1)&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))=>(~empty_carrier(X1)&lattice(X1)))), inference(fof_simplification,[status(thm)],[cc2_lattices])).
% 282.28/198.90 fof(i_0_1145, plain, ![X1]:(rel_str(X1)=>(((((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&connected_relstr(X1))&up_complete_relstr(X1))=>((((((((((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&connected_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc2_waybel_3])).
% 282.28/198.90 fof(i_0_1146, plain, ![X1]:(rel_str(X1)=>(((((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&lower_bounded_relstr(X1))&up_complete_relstr(X1))=>(((((((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc12_waybel_0])).
% 282.28/198.90 fof(i_0_1147, plain, ![X1]:(rel_str(X1)=>(((((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&upper_bounded_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1))=>(((((((((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc1_yellow_2])).
% 282.28/198.90 fof(i_0_1148, plain, ![X1, X2]:((~empty_carrier(X1)&latt_str(X1))=>element(meet_of_latt_set(X1,X2),the_carrier(X1))), inference(fof_simplification,[status(thm)],[dt_k16_lattice3])).
% 282.28/198.90 fof(i_0_1149, plain, ![X1, X2]:((~empty_carrier(X1)&latt_str(X1))=>element(join_of_latt_set(X1,X2),the_carrier(X1))), inference(fof_simplification,[status(thm)],[dt_k15_lattice3])).
% 282.28/198.90 fof(i_0_1150, plain, ![X1]:(((~empty_carrier(X1)&topological_space(X1))&top_str(X1))=>?[X2]:((element(X2,powerset(the_carrier(X1)))&~empty(X2))&closed_subset(X2,X1))), inference(fof_simplification,[status(thm)],[rc7_pre_topc])).
% 282.28/198.90 fof(i_0_1151, plain, ![X1]:(((~empty_carrier(X1)&reflexive_relstr(X1))&rel_str(X1))=>?[X2]:((((element(X2,powerset(the_carrier(X1)))&~empty(X2))&finite(X2))&directed_subset(X2,X1))&filtered_subset(X2,X1))), inference(fof_simplification,[status(thm)],[rc2_waybel_0])).
% 282.28/198.90 fof(i_0_1152, plain, ![X1, X2]:((~empty(X1)&~empty(X2))=>~empty(cartesian_product2(X1,X2))), inference(fof_simplification,[status(thm)],[fc4_subset_1])).
% 282.28/198.90 fof(i_0_1153, lemma, ![X4285, X4287]:(((relation(esk493_1(X4285))&function(esk493_1(X4285)))&relation_dom(esk493_1(X4285))=X4285)&(~in(X4287,X4285)|apply(esk493_1(X4285),X4287)=singleton(X4287))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s3_funct_1__e16_22__wellord2])])])])).
% 282.28/198.90 fof(i_0_1154, lemma, ![X3497, X3498]:(in(X3497,X3498)|disjoint(singleton(X3497),X3498)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_870])])).
% 282.28/198.90 fof(i_0_1155, plain, ![X1, X2]:((((~empty_carrier(X1)&latt_str(X1))&~empty_carrier(X2))&latt_str(X2))=>(strict_latt_str(k8_filter_1(X1,X2))&latt_str(k8_filter_1(X1,X2)))), inference(fof_simplification,[status(thm)],[dt_k8_filter_1])).
% 282.28/198.90 fof(i_0_1156, plain, ![X1, X2]:(~empty(X1)=>~empty(set_union2(X1,X2))), inference(fof_simplification,[status(thm)],[fc2_xboole_0])).
% 282.28/198.90 fof(i_0_1157, plain, ![X1, X2]:(~empty(X1)=>~empty(set_union2(X2,X1))), inference(fof_simplification,[status(thm)],[fc3_xboole_0])).
% 282.28/198.90 fof(i_0_1158, plain, ![X1]:(rel_str(X1)=>((((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&complete_relstr(X1))&connected_relstr(X1))=>(((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&connected_relstr(X1))&v2_waybel_3(X1)))), inference(fof_simplification,[status(thm)],[cc6_waybel_3])).
% 282.28/198.90 fof(i_0_1159, plain, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>?[X2]:(element(X2,powerset(the_carrier(X1)))&~empty(X2))), inference(fof_simplification,[status(thm)],[rc5_struct_0])).
% 282.28/198.90 fof(i_0_1160, plain, ![X1]:(((~empty_carrier(X1)&lattice(X1))&latt_str(X1))=>poset_of_lattice(X1)=rel_str_of(the_carrier(X1),k2_lattice3(X1))), inference(fof_simplification,[status(thm)],[d2_lattice3])).
% 282.28/198.90 fof(i_0_1161, plain, ![X3350]:~empty(singleton(X3350)), inference(variable_rename,[status(thm)],[i_0_871])).
% 282.28/198.90 fof(i_0_1162, plain, ![X3309]:(~empty(singleton(X3309))&finite(singleton(X3309))), inference(variable_rename,[status(thm)],[i_0_872])).
% 282.28/198.90 fof(i_0_1163, plain, ![X1, X2]:~empty(unordered_pair(X1,X2)), inference(fof_simplification,[status(thm)],[fc3_subset_1])).
% 282.28/198.90 fof(i_0_1164, plain, ![X1, X2]:(~empty(unordered_pair(X1,X2))&finite(unordered_pair(X1,X2))), inference(fof_simplification,[status(thm)],[fc2_finset_1])).
% 282.28/198.90 fof(i_0_1165, lemma, ![X1]:((((~empty_carrier(X1)&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))=>(ex_sup_of_relstr_set(X1,empty_set)&ex_inf_of_relstr_set(X1,the_carrier(X1)))), inference(fof_simplification,[status(thm)],[t42_yellow_0])).
% 282.28/198.90 fof(i_0_1166, lemma, ![X4908, X4909, X4910]:(singleton(X4908)!=unordered_pair(X4909,X4910)|X4908=X4909), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_zfmisc_1])])).
% 282.28/198.90 fof(i_0_1167, lemma, ![X4934, X4935, X4936]:(singleton(X4934)!=unordered_pair(X4935,X4936)|X4935=X4936), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_zfmisc_1])])).
% 282.28/198.90 fof(i_0_1168, lemma, ![X1]:(ordinal(X1)=>![X2]:(ordinal(X2)=>~(((~in(X1,X2)&X1!=X2)&~in(X2,X1))))), inference(fof_simplification,[status(thm)],[t24_ordinal1])).
% 282.28/198.90 fof(i_0_1169, plain, ![X1, X2]:(proper_subset(X1,X2)=>~proper_subset(X2,X1)), inference(fof_simplification,[status(thm)],[antisymmetry_r2_xboole_0])).
% 282.28/198.90 fof(i_0_1170, plain, ![X1, X2]:(in(X1,X2)=>~in(X2,X1)), inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden])).
% 282.28/198.90 fof(i_0_1171, plain, ![X1]:(rel_str(X1)=>(((((~empty_carrier(X1)&reflexive_relstr(X1))&antisymmetric_relstr(X1))&upper_bounded_relstr(X1))&join_complete_relstr(X1))=>((((~empty_carrier(X1)&reflexive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&upper_bounded_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc14_waybel_0])).
% 282.28/198.90 fof(i_0_1172, plain, ![X1]:((((~empty_carrier(X1)&lattice(X1))&upper_bounded_semilattstr(X1))&latt_str(X1))=>(((((((~empty_carrier(poset_of_lattice(X1))&strict_rel_str(poset_of_lattice(X1)))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))&upper_bounded_relstr(poset_of_lattice(X1)))&with_suprema_relstr(poset_of_lattice(X1)))&with_infima_relstr(poset_of_lattice(X1)))), inference(fof_simplification,[status(thm)],[fc2_yellow_1])).
% 282.28/198.90 fof(i_0_1173, plain, ![X1]:((((~empty_carrier(X1)&lattice(X1))&lower_bounded_semilattstr(X1))&latt_str(X1))=>(((((((~empty_carrier(poset_of_lattice(X1))&strict_rel_str(poset_of_lattice(X1)))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))&lower_bounded_relstr(poset_of_lattice(X1)))&with_suprema_relstr(poset_of_lattice(X1)))&with_infima_relstr(poset_of_lattice(X1)))), inference(fof_simplification,[status(thm)],[fc3_yellow_1])).
% 282.28/198.90 fof(i_0_1174, plain, ![X1]:((((~empty_carrier(X1)&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>((((((((((~empty_carrier(poset_of_lattice(X1))&strict_rel_str(poset_of_lattice(X1)))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))&lower_bounded_relstr(poset_of_lattice(X1)))&upper_bounded_relstr(poset_of_lattice(X1)))&bounded_relstr(poset_of_lattice(X1)))&with_suprema_relstr(poset_of_lattice(X1)))&with_infima_relstr(poset_of_lattice(X1)))&complete_relstr(poset_of_lattice(X1)))), inference(fof_simplification,[status(thm)],[fc4_yellow_1])).
% 282.28/198.90 fof(i_0_1175, lemma, ![X1]:((((~empty_carrier(X1)&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>((((~empty_carrier(X1)&lattice(X1))&lower_bounded_semilattstr(X1))&latt_str(X1))&bottom_of_semilattstr(X1)=join_of_latt_set(X1,empty_set))), inference(fof_simplification,[status(thm)],[t50_lattice3])).
% 282.28/198.90 fof(i_0_1176, plain, ![X1]:?[X2]:(element(X2,powerset(X1))&~proper_element(X2,powerset(X1))), inference(fof_simplification,[status(thm)],[rc2_tex_2])).
% 282.28/198.90 fof(i_0_1177, plain, ![X1, X2]:((~empty(X1)=>(element(X2,X1)<=>in(X2,X1)))&(empty(X1)=>(element(X2,X1)<=>empty(X2)))), inference(fof_simplification,[status(thm)],[d2_subset_1])).
% 282.28/198.90 fof(i_0_1178, plain, ![X3476]:set_intersection2(X3476,X3476)=X3476, inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])])).
% 282.28/198.90 fof(i_0_1179, plain, ![X3353]:(((((((((((((((((((~empty_carrier(boole_POSet(X3353))|empty(X3353))&(~trivial_carrier(boole_POSet(X3353))|empty(X3353)))&(strict_rel_str(boole_POSet(X3353))|empty(X3353)))&(reflexive_relstr(boole_POSet(X3353))|empty(X3353)))&(transitive_relstr(boole_POSet(X3353))|empty(X3353)))&(antisymmetric_relstr(boole_POSet(X3353))|empty(X3353)))&(lower_bounded_relstr(boole_POSet(X3353))|empty(X3353)))&(upper_bounded_relstr(boole_POSet(X3353))|empty(X3353)))&(bounded_relstr(boole_POSet(X3353))|empty(X3353)))&(up_complete_relstr(boole_POSet(X3353))|empty(X3353)))&(join_complete_relstr(boole_POSet(X3353))|empty(X3353)))&(~v1_yellow_3(boole_POSet(X3353))|empty(X3353)))&(distributive_relstr(boole_POSet(X3353))|empty(X3353)))&(heyting_relstr(boole_POSet(X3353))|empty(X3353)))&(complemented_relstr(boole_POSet(X3353))|empty(X3353)))&(boolean_relstr(boole_POSet(X3353))|empty(X3353)))&(with_suprema_relstr(boole_POSet(X3353))|empty(X3353)))&(with_infima_relstr(boole_POSet(X3353))|empty(X3353)))&(complete_relstr(boole_POSet(X3353))|empty(X3353))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_873])])])).
% 282.28/198.90 fof(i_0_1180, plain, ![X1]:?[X2]:((element(X2,powerset(powerset(X1)))&~empty(X2))&finite(X2)), inference(fof_simplification,[status(thm)],[rc2_waybel_7])).
% 282.28/198.90 fof(i_0_1181, plain, ![X3109]:element(k1_pcomps_1(X3109),powerset(powerset(X3109))), inference(variable_rename,[status(thm)],[dt_k1_pcomps_1])).
% 282.28/198.90 fof(i_0_1182, plain, ![X3650]:k1_pcomps_1(X3650)=powerset(X3650), inference(variable_rename,[status(thm)],[redefinition_k1_pcomps_1])).
% 282.28/198.90 fof(i_0_1183, plain, ![X1]:((~empty_carrier(X1)&meet_semilatt_str(X1))=>element(bottom_of_semilattstr(X1),the_carrier(X1))), inference(fof_simplification,[status(thm)],[dt_k5_lattices])).
% 282.28/198.90 fof(i_0_1184, plain, ![X1]:(latt_str(X1)=>((((~empty_carrier(X1)&distributive_lattstr(X1))&bounded_lattstr(X1))&complemented_lattstr(X1))=>(~empty_carrier(X1)&boolean_lattstr(X1)))), inference(fof_simplification,[status(thm)],[cc6_lattices])).
% 282.28/198.90 fof(i_0_1185, plain, ![X1]:(rel_str(X1)=>((((~empty_carrier(X1)&reflexive_relstr(X1))&antisymmetric_relstr(X1))&join_complete_relstr(X1))=>(((~empty_carrier(X1)&reflexive_relstr(X1))&antisymmetric_relstr(X1))&with_infima_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc13_waybel_0])).
% 282.28/198.90 fof(i_0_1186, plain, ![X4586]:set_intersection2(X4586,empty_set)=empty_set, inference(variable_rename,[status(thm)],[t2_boole])).
% 282.28/198.90 fof(i_0_1187, plain, ![X2694]:incl_POSet(X2694)=rel_str_of(X2694,inclusion_order(X2694)), inference(variable_rename,[status(thm)],[d1_yellow_1])).
% 282.28/198.90 fof(i_0_1188, plain, ![X1]:(rel_str(X1)=>(((reflexive_relstr(X1)&with_suprema_relstr(X1))&up_complete_relstr(X1))=>(((~empty_carrier(X1)&reflexive_relstr(X1))&with_suprema_relstr(X1))&upper_bounded_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc9_waybel_0])).
% 282.28/198.90 fof(i_0_1189, plain, ![X3427]:((((((((((((((~empty_carrier(boole_POSet(X3427))&strict_rel_str(boole_POSet(X3427)))&reflexive_relstr(boole_POSet(X3427)))&transitive_relstr(boole_POSet(X3427)))&antisymmetric_relstr(boole_POSet(X3427)))&lower_bounded_relstr(boole_POSet(X3427)))&upper_bounded_relstr(boole_POSet(X3427)))&bounded_relstr(boole_POSet(X3427)))&directed_relstr(boole_POSet(X3427)))&up_complete_relstr(boole_POSet(X3427)))&join_complete_relstr(boole_POSet(X3427)))&~v1_yellow_3(boole_POSet(X3427)))&with_suprema_relstr(boole_POSet(X3427)))&with_infima_relstr(boole_POSet(X3427)))&complete_relstr(boole_POSet(X3427))), inference(variable_rename,[status(thm)],[i_0_874])).
% 282.28/198.90 fof(i_0_1190, plain, ![X3324]:(((((((((((((((((~empty_carrier(boole_POSet(X3324))&strict_rel_str(boole_POSet(X3324)))&reflexive_relstr(boole_POSet(X3324)))&transitive_relstr(boole_POSet(X3324)))&antisymmetric_relstr(boole_POSet(X3324)))&lower_bounded_relstr(boole_POSet(X3324)))&upper_bounded_relstr(boole_POSet(X3324)))&bounded_relstr(boole_POSet(X3324)))&up_complete_relstr(boole_POSet(X3324)))&join_complete_relstr(boole_POSet(X3324)))&~v1_yellow_3(boole_POSet(X3324)))&distributive_relstr(boole_POSet(X3324)))&heyting_relstr(boole_POSet(X3324)))&complemented_relstr(boole_POSet(X3324)))&boolean_relstr(boole_POSet(X3324)))&with_suprema_relstr(boole_POSet(X3324)))&with_infima_relstr(boole_POSet(X3324)))&complete_relstr(boole_POSet(X3324))), inference(variable_rename,[status(thm)],[i_0_875])).
% 282.28/198.90 fof(i_0_1191, plain, ![X3432]:((((((((((((((~empty_carrier(boole_POSet(X3432))&strict_rel_str(boole_POSet(X3432)))&reflexive_relstr(boole_POSet(X3432)))&transitive_relstr(boole_POSet(X3432)))&antisymmetric_relstr(boole_POSet(X3432)))&with_suprema_relstr(boole_POSet(X3432)))&with_infima_relstr(boole_POSet(X3432)))&complete_relstr(boole_POSet(X3432)))&lower_bounded_relstr(boole_POSet(X3432)))&upper_bounded_relstr(boole_POSet(X3432)))&bounded_relstr(boole_POSet(X3432)))&up_complete_relstr(boole_POSet(X3432)))&join_complete_relstr(boole_POSet(X3432)))&distributive_relstr(boole_POSet(X3432)))&complemented_relstr(boole_POSet(X3432))), inference(variable_rename,[status(thm)],[i_0_876])).
% 282.28/198.90 fof(i_0_1192, plain, ![X3426]:((((((((((~empty_carrier(boole_POSet(X3426))&strict_rel_str(boole_POSet(X3426)))&reflexive_relstr(boole_POSet(X3426)))&transitive_relstr(boole_POSet(X3426)))&antisymmetric_relstr(boole_POSet(X3426)))&lower_bounded_relstr(boole_POSet(X3426)))&upper_bounded_relstr(boole_POSet(X3426)))&bounded_relstr(boole_POSet(X3426)))&with_suprema_relstr(boole_POSet(X3426)))&with_infima_relstr(boole_POSet(X3426)))&complete_relstr(boole_POSet(X3426))), inference(variable_rename,[status(thm)],[i_0_877])).
% 282.28/198.90 fof(i_0_1193, plain, ![X3424]:((((~empty_carrier(boole_POSet(X3424))&strict_rel_str(boole_POSet(X3424)))&reflexive_relstr(boole_POSet(X3424)))&transitive_relstr(boole_POSet(X3424)))&antisymmetric_relstr(boole_POSet(X3424))), inference(variable_rename,[status(thm)],[i_0_878])).
% 282.28/198.90 fof(i_0_1194, plain, ![X3323]:(((((((((((((~empty_carrier(boole_POSet(X3323))&strict_rel_str(boole_POSet(X3323)))&reflexive_relstr(boole_POSet(X3323)))&transitive_relstr(boole_POSet(X3323)))&antisymmetric_relstr(boole_POSet(X3323)))&with_suprema_relstr(boole_POSet(X3323)))&with_infima_relstr(boole_POSet(X3323)))&complete_relstr(boole_POSet(X3323)))&lower_bounded_relstr(boole_POSet(X3323)))&upper_bounded_relstr(boole_POSet(X3323)))&bounded_relstr(boole_POSet(X3323)))&up_complete_relstr(boole_POSet(X3323)))&join_complete_relstr(boole_POSet(X3323)))&distributive_relstr(boole_POSet(X3323))), inference(variable_rename,[status(thm)],[i_0_879])).
% 282.28/198.90 fof(i_0_1195, plain, ![X1]:(((~empty_carrier(X1)&lattice(X1))&latt_str(X1))=>((((~empty_carrier(poset_of_lattice(X1))&strict_rel_str(poset_of_lattice(X1)))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))), inference(fof_simplification,[status(thm)],[fc4_lattice3])).
% 282.28/198.90 fof(i_0_1196, plain, ![X1]:(((~empty_carrier(X1)&lattice(X1))&latt_str(X1))=>((((((~empty_carrier(poset_of_lattice(X1))&strict_rel_str(poset_of_lattice(X1)))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))&with_suprema_relstr(poset_of_lattice(X1)))&with_infima_relstr(poset_of_lattice(X1)))), inference(fof_simplification,[status(thm)],[fc1_yellow_1])).
% 282.28/198.90 fof(i_0_1197, plain, ![X1, X2]:(epred3_2(X2,X1)=>(((((reflexive(X1)=>reflexive(X2))&(transitive(X1)=>transitive(X2)))&(connected(X1)=>connected(X2)))&(antisymmetric(X1)=>antisymmetric(X2)))&(well_founded_relation(X1)=>well_founded_relation(X2)))), inference(split_equiv,[status(thm)],[i_0_865])).
% 282.28/198.90 fof(i_0_1198, plain, ![X1]:(~empty(X1)=>?[X2]:((element(X2,powerset(X1))&~empty(X2))&finite(X2))), inference(fof_simplification,[status(thm)],[rc4_finset_1])).
% 282.28/198.90 fof(i_0_1199, plain, ![X1]:(~empty(X1)=>?[X2]:((element(X2,powerset(X1))&~empty(X2))&finite(X2))), inference(fof_simplification,[status(thm)],[rc3_finset_1])).
% 282.28/198.90 fof(i_0_1200, plain, ![X1]:(~empty(X1)=>?[X2]:(element(X2,powerset(X1))&~empty(X2))), inference(fof_simplification,[status(thm)],[rc1_subset_1])).
% 282.28/198.90 fof(i_0_1201, plain, ![X1]:(latt_str(X1)=>(((~empty_carrier(X1)&lattice(X1))&distributive_lattstr(X1))=>((((((((~empty_carrier(X1)&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))&lattice(X1))&modular_lattstr(X1)))), inference(fof_simplification,[status(thm)],[cc7_lattices])).
% 282.28/198.90 fof(i_0_1202, plain, ![X1]:(rel_str(X1)=>(((~empty_carrier(X1)&reflexive_relstr(X1))&v3_waybel_3(X1))=>(((~empty_carrier(X1)&reflexive_relstr(X1))&up_complete_relstr(X1))&v2_waybel_3(X1)))), inference(fof_simplification,[status(thm)],[cc4_waybel_3])).
% 282.28/198.90 fof(i_0_1203, plain, ![X1]:(rel_str(X1)=>(((~empty_carrier(X1)&trivial_carrier(X1))&reflexive_relstr(X1))=>((~empty_carrier(X1)&reflexive_relstr(X1))&v2_waybel_3(X1)))), inference(fof_simplification,[status(thm)],[cc3_waybel_3])).
% 282.28/198.90 fof(i_0_1204, plain, ![X1]:(rel_str(X1)=>(((~empty_carrier(X1)&reflexive_relstr(X1))&trivial_carrier(X1))=>((~empty_carrier(X1)&reflexive_relstr(X1))&connected_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc5_waybel_0])).
% 282.28/198.90 fof(i_0_1205, plain, ![X1]:(latt_str(X1)=>(((~empty_carrier(X1)&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1))=>(~empty_carrier(X1)&bounded_lattstr(X1)))), inference(fof_simplification,[status(thm)],[cc3_lattices])).
% 282.28/198.90 fof(i_0_1206, plain, ![X1]:(latt_str(X1)=>(((~empty_carrier(X1)&lattice(X1))&complete_latt_str(X1))=>((((((((((~empty_carrier(X1)&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))&lattice(X1))&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1))&bounded_lattstr(X1)))), inference(fof_simplification,[status(thm)],[cc1_knaster])).
% 282.28/198.90 fof(i_0_1207, plain, ![X1]:(rel_str(X1)=>(((~empty_carrier(X1)&reflexive_relstr(X1))&join_complete_relstr(X1))=>((~empty_carrier(X1)&reflexive_relstr(X1))&lower_bounded_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc11_waybel_0])).
% 282.28/198.90 fof(i_0_1208, plain, ![X1]:(rel_str(X1)=>(((~empty_carrier(X1)&reflexive_relstr(X1))&trivial_carrier(X1))=>((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&complete_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc2_yellow_0])).
% 282.28/198.90 fof(i_0_1209, plain, ![X1]:(rel_str(X1)=>(((~empty_carrier(X1)&reflexive_relstr(X1))&complete_relstr(X1))=>(((~empty_carrier(X1)&reflexive_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc10_waybel_0])).
% 282.28/198.90 fof(i_0_1210, lemma, ![X4883]:(~ordinal(X4883)|well_ordering(inclusion_relation(X4883))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_wellord2])])).
% 282.28/198.90 fof(i_0_1211, lemma, ![X4851]:(~ordinal(X4851)|well_founded_relation(inclusion_relation(X4851))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_wellord2])])).
% 282.28/198.90 fof(i_0_1212, lemma, ![X4761]:(~ordinal(X4761)|connected(inclusion_relation(X4761))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_wellord2])])).
% 282.28/198.90 fof(i_0_1213, plain, ![X1]:(((~empty_carrier(X1)&lattice(X1))&latt_str(X1))=>relation(relation_of_lattice(X1))), inference(fof_simplification,[status(thm)],[dt_k9_filter_1])).
% 282.28/198.90 fof(i_0_1214, plain, ![X1]:(((~empty_carrier(X1)&lattice(X1))&latt_str(X1))=>((((strict_rel_str(poset_of_lattice(X1))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))&rel_str(poset_of_lattice(X1)))), inference(fof_simplification,[status(thm)],[dt_k3_lattice3])).
% 282.28/198.90 fof(i_0_1215, plain, ![X1]:((~v1_yellow_3(X1)&rel_str(X1))=>(~empty(the_InternalRel(X1))&relation(the_InternalRel(X1)))), inference(fof_simplification,[status(thm)],[fc13_yellow_3])).
% 282.28/198.90 fof(i_0_1216, plain, ![X1]:((~empty(X1)&relation(X1))=>~empty(relation_rng(X1))), inference(fof_simplification,[status(thm)],[fc6_relat_1])).
% 282.28/198.90 fof(i_0_1217, plain, ![X1]:((~empty(X1)&relation(X1))=>~empty(relation_dom(X1))), inference(fof_simplification,[status(thm)],[fc5_relat_1])).
% 282.28/198.90 fof(i_0_1218, plain, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>~empty(cast_as_carrier_subset(X1))), inference(fof_simplification,[status(thm)],[fc2_pre_topc])).
% 282.28/198.90 fof(i_0_1219, plain, ![X1]:((~empty_carrier(X1)&one_sorted_str(X1))=>~empty(the_carrier(X1))), inference(fof_simplification,[status(thm)],[fc1_struct_0])).
% 282.28/198.90 fof(i_0_1220, plain, ![X1]:(((~empty_carrier(X1)&lattice(X1))&latt_str(X1))=>relation_of_lattice(X1)=a_1_0_filter_1(X1)), inference(fof_simplification,[status(thm)],[d8_filter_1])).
% 282.28/198.90 fof(i_0_1221, plain, ![X1]:(((~empty_carrier(X1)&lattice(X1))&latt_str(X1))=>k2_lattice3(X1)=relation_of_lattice(X1)), inference(fof_simplification,[status(thm)],[redefinition_k2_lattice3])).
% 282.28/198.90 fof(i_0_1222, lemma, ![X4760]:the_carrier(boole_POSet(X4760))=powerset(X4760), inference(variable_rename,[status(thm)],[t4_waybel_7])).
% 282.28/198.90 fof(i_0_1223, plain, ![X1]:(rel_str(X1)=>((~empty_carrier(X1)&reflexive_relstr(X1))=>(~empty_carrier(X1)&~v1_yellow_3(X1)))), inference(fof_simplification,[status(thm)],[cc3_yellow_3])).
% 282.28/198.90 fof(i_0_1224, plain, ![X1]:(X1=empty_set<=>![X2]:~in(X2,X1)), inference(fof_simplification,[status(thm)],[d1_xboole_0])).
% 282.28/198.90 fof(i_0_1225, plain, ![X1]:(rel_str(X1)=>((~empty_carrier(X1)&boolean_relstr(X1))=>((((((((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&distributive_relstr(X1))&complemented_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc8_waybel_1])).
% 282.28/198.90 fof(i_0_1226, plain, ![X1]:(latt_str(X1)=>((~empty_carrier(X1)&boolean_lattstr(X1))=>(((((~empty_carrier(X1)&distributive_lattstr(X1))&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1))&bounded_lattstr(X1))&complemented_lattstr(X1)))), inference(fof_simplification,[status(thm)],[cc5_lattices])).
% 282.28/198.90 fof(i_0_1227, plain, ![X1]:(latt_str(X1)=>((~empty_carrier(X1)&bounded_lattstr(X1))=>((~empty_carrier(X1)&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1)))), inference(fof_simplification,[status(thm)],[cc4_lattices])).
% 282.28/198.90 fof(i_0_1228, plain, ![X1]:(latt_str(X1)=>((~empty_carrier(X1)&lattice(X1))=>((((((~empty_carrier(X1)&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1)))), inference(fof_simplification,[status(thm)],[cc1_lattices])).
% 282.28/198.90 fof(i_0_1229, plain, ![X1]:(rel_str(X1)=>((~empty_carrier(X1)&complete_relstr(X1))=>(~empty_carrier(X1)&bounded_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc3_yellow_0])).
% 282.28/198.90 fof(i_0_1230, plain, ![X1]:(rel_str(X1)=>((~empty_carrier(X1)&boolean_relstr(X1))=>((((((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&upper_bounded_relstr(X1))&distributive_relstr(X1))&heyting_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc10_waybel_1])).
% 282.28/198.90 fof(i_0_1231, plain, ![X1]:(rel_str(X1)=>((~empty_carrier(X1)&heyting_relstr(X1))=>(~empty_carrier(X1)&distributive_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc6_waybel_1])).
% 282.28/198.90 fof(i_0_1232, plain, ![X1]:(rel_str(X1)=>((~empty_carrier(X1)&heyting_relstr(X1))=>(~empty_carrier(X1)&upper_bounded_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc7_waybel_1])).
% 282.28/198.90 fof(i_0_1233, plain, ![X1]:(rel_str(X1)=>((~empty_carrier(X1)&heyting_relstr(X1))=>(((((~empty_carrier(X1)&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc5_waybel_1])).
% 282.28/198.90 fof(i_0_1234, plain, ![X1]:(rel_str(X1)=>((~empty_carrier(X1)&complete_relstr(X1))=>((~empty_carrier(X1)&with_suprema_relstr(X1))&with_infima_relstr(X1)))), inference(fof_simplification,[status(thm)],[cc1_yellow_0])).
% 282.28/198.90 fof(i_0_1235, lemma, ![X4817]:antisymmetric(inclusion_relation(X4817)), inference(variable_rename,[status(thm)],[t5_wellord2])).
% 282.28/198.90 fof(i_0_1236, lemma, ![X4595]:reflexive(inclusion_relation(X4595)), inference(variable_rename,[status(thm)],[t2_wellord2])).
% 282.28/198.90 fof(i_0_1237, lemma, ![X4687]:transitive(inclusion_relation(X4687)), inference(variable_rename,[status(thm)],[t3_wellord2])).
% 282.28/198.90 fof(i_0_1238, plain, ![X3119]:relation(inclusion_relation(X3119)), inference(variable_rename,[status(thm)],[dt_k1_wellord2])).
% 282.28/198.90 fof(i_0_1239, plain, ![X3158]:(strict_rel_str(boole_POSet(X3158))&rel_str(boole_POSet(X3158))), inference(variable_rename,[status(thm)],[dt_k3_yellow_1])).
% 282.28/198.90 fof(i_0_1240, lemma, ![X4448]:bottom_of_relstr(boole_POSet(X4448))=empty_set, inference(variable_rename,[status(thm)],[t18_yellow_1])).
% 282.28/198.90 fof(i_0_1241, plain, ![X1, X2]:~proper_subset(X1,X1), inference(fof_simplification,[status(thm)],[irreflexivity_r2_xboole_0])).
% 282.28/198.90 fof(i_0_1242, lemma, ![X3492]:singleton(X3492)!=empty_set, inference(variable_rename,[status(thm)],[l1_zfmisc_1])).
% 282.28/198.90 fof(i_0_1243, plain, ![X2426]:(~one_sorted_str(X2426)|identity_on_carrier(X2426)=identity_as_relation_of(the_carrier(X2426))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_grcat_1])])).
% 282.28/198.90 fof(i_0_1244, plain, ![X1]:(rel_str(X1)=>(with_infima_relstr(X1)=>~empty_carrier(X1))), inference(fof_simplification,[status(thm)],[cc2_lattice3])).
% 282.28/198.90 fof(i_0_1245, plain, ![X1]:(rel_str(X1)=>(with_suprema_relstr(X1)=>~empty_carrier(X1))), inference(fof_simplification,[status(thm)],[cc1_lattice3])).
% 282.28/198.90 fof(i_0_1246, plain, ![X1]:(~empty(X1)=>((((~empty_carrier(incl_POSet(X1))&strict_rel_str(incl_POSet(X1)))&reflexive_relstr(incl_POSet(X1)))&transitive_relstr(incl_POSet(X1)))&antisymmetric_relstr(incl_POSet(X1)))), inference(fof_simplification,[status(thm)],[fc6_yellow_1])).
% 282.28/198.90 fof(i_0_1247, plain, ![X2783]:boole_POSet(X2783)=poset_of_lattice(boole_lattice(X2783)), inference(variable_rename,[status(thm)],[d2_yellow_1])).
% 282.28/198.90 fof(i_0_1248, plain, ![X3142]:element(cast_to_subset(X3142),powerset(X3142)), inference(variable_rename,[status(thm)],[dt_k2_subset_1])).
% 282.28/198.90 fof(i_0_1249, plain, ![X1]:(rel_str(X1)=>(~v1_yellow_3(X1)=>~empty_carrier(X1))), inference(fof_simplification,[status(thm)],[cc2_yellow_3])).
% 282.28/198.90 fof(i_0_1250, plain, ![X1]:~empty(powerset(X1)), inference(fof_simplification,[status(thm)],[fc1_subset_1])).
% 282.28/198.90 fof(i_0_1251, plain, ![X1]:(((~empty(powerset(X1))&cup_closed(powerset(X1)))&diff_closed(powerset(X1)))&preboolean(powerset(X1))), inference(fof_simplification,[status(thm)],[fc1_finsub_1])).
% 282.28/198.90 fof(i_0_1252, plain, ![X1]:(((((((((((((((~empty_carrier(boole_lattice(X1))&strict_latt_str(boole_lattice(X1)))&join_commutative(boole_lattice(X1)))&join_associative(boole_lattice(X1)))&meet_commutative(boole_lattice(X1)))&meet_associative(boole_lattice(X1)))&meet_absorbing(boole_lattice(X1)))&join_absorbing(boole_lattice(X1)))&lattice(boole_lattice(X1)))&distributive_lattstr(boole_lattice(X1)))&modular_lattstr(boole_lattice(X1)))&lower_bounded_semilattstr(boole_lattice(X1)))&upper_bounded_semilattstr(boole_lattice(X1)))&bounded_lattstr(boole_lattice(X1)))&complemented_lattstr(boole_lattice(X1)))&boolean_lattstr(boole_lattice(X1))), inference(fof_simplification,[status(thm)],[fc3_lattice3])).
% 282.28/198.90 fof(i_0_1253, plain, ![X1]:((((((((~empty_carrier(boole_lattice(X1))&strict_latt_str(boole_lattice(X1)))&join_commutative(boole_lattice(X1)))&join_associative(boole_lattice(X1)))&meet_commutative(boole_lattice(X1)))&meet_associative(boole_lattice(X1)))&meet_absorbing(boole_lattice(X1)))&join_absorbing(boole_lattice(X1)))&lattice(boole_lattice(X1))), inference(fof_simplification,[status(thm)],[fc2_lattice3])).
% 282.28/198.90 fof(i_0_1254, plain, ![X1]:(~empty_carrier(boole_lattice(X1))&strict_latt_str(boole_lattice(X1))), inference(fof_simplification,[status(thm)],[fc1_lattice3])).
% 282.28/198.90 fof(i_0_1255, plain, ![X1]:((((((((((((((((~empty_carrier(boole_lattice(X1))&strict_latt_str(boole_lattice(X1)))&join_commutative(boole_lattice(X1)))&join_associative(boole_lattice(X1)))&meet_commutative(boole_lattice(X1)))&meet_associative(boole_lattice(X1)))&meet_absorbing(boole_lattice(X1)))&join_absorbing(boole_lattice(X1)))&lattice(boole_lattice(X1)))&distributive_lattstr(boole_lattice(X1)))&modular_lattstr(boole_lattice(X1)))&lower_bounded_semilattstr(boole_lattice(X1)))&upper_bounded_semilattstr(boole_lattice(X1)))&bounded_lattstr(boole_lattice(X1)))&complemented_lattstr(boole_lattice(X1)))&boolean_lattstr(boole_lattice(X1)))&complete_latt_str(boole_lattice(X1))), inference(fof_simplification,[status(thm)],[fc1_knaster])).
% 282.28/198.90 fof(i_0_1256, plain, ?[X1]:((((((((((((((((rel_str(X1)&~empty_carrier(X1))&~trivial_carrier(X1))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&~v1_yellow_3(X1))&distributive_relstr(X1))&heyting_relstr(X1))&complemented_relstr(X1))&boolean_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1)), inference(fof_simplification,[status(thm)],[rc1_waybel_7])).
% 282.28/198.90 fof(i_0_1257, plain, ?[X1]:((((((rel_str(X1)&~empty_carrier(X1))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&~v1_yellow_3(X1)), inference(fof_simplification,[status(thm)],[rc1_yellow_3])).
% 282.28/198.90 fof(i_0_1258, plain, ?[X1]:(((~empty(X1)&epsilon_transitive(X1))&epsilon_connected(X1))&ordinal(X1)), inference(fof_simplification,[status(thm)],[rc3_ordinal1])).
% 282.28/198.90 fof(i_0_1259, plain, ?[X1]:~empty(X1), inference(fof_simplification,[status(thm)],[rc2_xboole_0])).
% 282.28/198.90 fof(i_0_1260, plain, ?[X1]:(~empty(X1)&relation(X1)), inference(fof_simplification,[status(thm)],[rc2_relat_1])).
% 282.28/198.90 fof(i_0_1261, plain, ?[X1]:(((((~empty(X1)&v1_membered(X1))&v2_membered(X1))&v3_membered(X1))&v4_membered(X1))&v5_membered(X1)), inference(fof_simplification,[status(thm)],[rc1_membered])).
% 282.28/198.90 fof(i_0_1262, plain, ?[X1]:(~empty(X1)&finite(X1)), inference(fof_simplification,[status(thm)],[rc1_finset_1])).
% 282.28/198.90 fof(i_0_1263, plain, ?[X1]:((((~empty(X1)&epsilon_transitive(X1))&epsilon_connected(X1))&ordinal(X1))&natural(X1)), inference(fof_simplification,[status(thm)],[rc1_arytm_3])).
% 282.28/198.90 fof(i_0_1264, plain, ?[X1]:(((((((((latt_str(X1)&~empty_carrier(X1))&strict_latt_str(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))&lattice(X1)), inference(fof_simplification,[status(thm)],[rc9_lattices])).
% 282.28/198.90 fof(i_0_1265, plain, ?[X1]:((latt_str(X1)&~empty_carrier(X1))&strict_latt_str(X1)), inference(fof_simplification,[status(thm)],[rc6_lattices])).
% 282.28/198.90 fof(i_0_1266, plain, ?[X1]:((((((((((rel_str(X1)&~empty_carrier(X1))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&upper_bounded_relstr(X1))&distributive_relstr(X1))&heyting_relstr(X1)), inference(fof_simplification,[status(thm)],[rc5_waybel_1])).
% 282.28/198.90 fof(i_0_1267, plain, ?[X1]:((((rel_str(X1)&~empty_carrier(X1))&strict_rel_str(X1))&transitive_relstr(X1))&directed_relstr(X1)), inference(fof_simplification,[status(thm)],[rc4_yellow_6])).
% 282.28/198.90 fof(i_0_1268, plain, ?[X1]:((((((((((((((rel_str(X1)&~empty_carrier(X1))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&distributive_relstr(X1))&heyting_relstr(X1))&complemented_relstr(X1))&boolean_relstr(X1)), inference(fof_simplification,[status(thm)],[rc4_waybel_1])).
% 282.28/198.90 fof(i_0_1269, plain, ?[X1]:(one_sorted_str(X1)&~empty_carrier(X1)), inference(fof_simplification,[status(thm)],[rc3_struct_0])).
% 282.28/198.90 fof(i_0_1270, plain, ?[X1]:((((((((((rel_str(X1)&~empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1)), inference(fof_simplification,[status(thm)],[rc2_yellow_0])).
% 282.28/198.90 fof(i_0_1271, plain, ?[X1]:(((((((((((((((rel_str(X1)&~empty_carrier(X1))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1))&v2_waybel_3(X1))&v3_waybel_3(X1)), inference(fof_simplification,[status(thm)],[rc2_waybel_3])).
% 282.28/198.90 fof(i_0_1272, plain, ?[X1]:(((((rel_str(X1)&~empty_carrier(X1))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1)), inference(fof_simplification,[status(thm)],[rc2_orders_2])).
% 282.28/198.90 fof(i_0_1273, plain, ?[X1]:((((((((rel_str(X1)&~empty_carrier(X1))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1)), inference(fof_simplification,[status(thm)],[rc2_lattice3])).
% 282.28/198.90 fof(i_0_1274, plain, ?[X1]:(((((((((rel_str(X1)&~empty_carrier(X1))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&trivial_carrier(X1)), inference(fof_simplification,[status(thm)],[rc1_yellow_0])).
% 282.28/198.90 fof(i_0_1275, plain, ?[X1]:((((((((((((((((rel_str(X1)&~empty_carrier(X1))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&distributive_relstr(X1))&v2_waybel_3(X1))&v3_waybel_3(X1)), inference(fof_simplification,[status(thm)],[rc1_waybel_6])).
% 282.28/198.90 fof(i_0_1276, plain, ?[X1]:(((((((((((((rel_str(X1)&~empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&connected_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1)), inference(fof_simplification,[status(thm)],[rc1_waybel_3])).
% 282.28/198.90 fof(i_0_1277, plain, ?[X1]:((((((rel_str(X1)&~empty_carrier(X1))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&complete_relstr(X1)), inference(fof_simplification,[status(thm)],[rc1_lattice3])).
% 282.28/198.90 fof(i_0_1278, plain, ?[X1]:(((((((((((((rel_str(X1)&~empty_carrier(X1))&strict_rel_str(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&with_suprema_relstr(X1))&with_infima_relstr(X1))&complete_relstr(X1))&lower_bounded_relstr(X1))&upper_bounded_relstr(X1))&bounded_relstr(X1))&up_complete_relstr(X1))&join_complete_relstr(X1)), inference(fof_simplification,[status(thm)],[rc13_waybel_0])).
% 282.28/198.90 fof(i_0_1279, plain, ?[X1]:(((((((((((((((latt_str(X1)&~empty_carrier(X1))&strict_latt_str(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))&lattice(X1))&distributive_lattstr(X1))&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1))&bounded_lattstr(X1))&complemented_lattstr(X1))&boolean_lattstr(X1)), inference(fof_simplification,[status(thm)],[rc13_lattices])).
% 282.28/198.90 fof(i_0_1280, plain, ?[X1]:(((((rel_str(X1)&~empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&connected_relstr(X1)), inference(fof_simplification,[status(thm)],[rc12_waybel_0])).
% 282.28/198.90 fof(i_0_1281, plain, ?[X1]:(((((((((((((latt_str(X1)&~empty_carrier(X1))&strict_latt_str(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))&lattice(X1))&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1))&bounded_lattstr(X1))&complemented_lattstr(X1)), inference(fof_simplification,[status(thm)],[rc12_lattices])).
% 282.28/198.90 fof(i_0_1282, plain, ?[X1]:((((((((((((latt_str(X1)&~empty_carrier(X1))&strict_latt_str(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))&lattice(X1))&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1))&bounded_lattstr(X1)), inference(fof_simplification,[status(thm)],[rc11_lattices])).
% 282.28/198.90 fof(i_0_1283, plain, ?[X1]:(((((((((((((latt_str(X1)&~empty_carrier(X1))&strict_latt_str(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1))&lattice(X1))&distributive_lattstr(X1))&modular_lattstr(X1))&lower_bounded_semilattstr(X1))&upper_bounded_semilattstr(X1)), inference(fof_simplification,[status(thm)],[rc10_lattices])).
% 282.28/198.90 cnf(i_0_1284, plain, (in(X5,esk294_3(X2,X3,X4))|in(ordered_pair(esk292_2(X2,X3),X9),X3)|empty(X2)|~in(ordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),X3)|X6!=X7|~in(X1,X7)|ordered_pair(X6,X1)!=X5|~in(X6,X2)|~in(X8,cartesian_product2(X2,X4))|X8!=X5|~in(X9,esk293_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1285, plain, (ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))), inference(rw,[status(thm)],[i_0_881, c_0_882])).
% 282.28/198.90 cnf(i_0_1286, plain, (in(X5,esk294_3(X2,X3,X4))|in(ordered_pair(esk289_2(X2,X3),X9),X3)|empty(X2)|~in(ordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),X3)|X6!=X7|~in(X1,X7)|ordered_pair(X6,X1)!=X5|~in(X6,X2)|~in(X8,cartesian_product2(X2,X4))|X8!=X5|~in(X9,esk290_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1287, plain, (in(X5,esk294_3(X2,X3,X4))|ordered_pair(esk291_2(X2,X3),esk292_2(X2,X3))=esk287_2(X2,X3)|empty(X2)|~in(ordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),X3)|X6!=X7|~in(X1,X7)|ordered_pair(X6,X1)!=X5|~in(X6,X2)|~in(X8,cartesian_product2(X2,X4))|X8!=X5|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1288, plain, (in(X5,esk294_3(X2,X3,X4))|ordered_pair(esk288_2(X2,X3),esk289_2(X2,X3))=esk286_2(X2,X3)|empty(X2)|~in(ordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),X3)|X6!=X7|~in(X1,X7)|ordered_pair(X6,X1)!=X5|~in(X6,X2)|~in(X8,cartesian_product2(X2,X4))|X8!=X5|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1289, plain, (in(X5,esk294_3(X2,X3,X4))|in(esk292_2(X2,X3),esk293_2(X2,X3))|empty(X2)|~in(ordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),X3)|X6!=X7|~in(X1,X7)|ordered_pair(X6,X1)!=X5|~in(X6,X2)|~in(X8,cartesian_product2(X2,X4))|X8!=X5|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1290, plain, (in(X5,esk294_3(X2,X3,X4))|in(esk289_2(X2,X3),esk290_2(X2,X3))|empty(X2)|~in(ordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),X3)|X6!=X7|~in(X1,X7)|ordered_pair(X6,X1)!=X5|~in(X6,X2)|~in(X8,cartesian_product2(X2,X4))|X8!=X5|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1291, plain, (in(X5,esk294_3(X2,X3,X4))|empty(X2)|~in(ordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),X3)|X6!=X7|~in(X1,X7)|ordered_pair(X6,X1)!=X5|~in(X6,X2)|~in(X8,cartesian_product2(X2,X4))|X8!=X5|esk286_2(X2,X3)!=esk287_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1292, plain, (in(X5,esk294_3(X2,X3,X4))|in(esk291_2(X2,X3),X2)|empty(X2)|~in(ordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),X3)|X6!=X7|~in(X1,X7)|ordered_pair(X6,X1)!=X5|~in(X6,X2)|~in(X8,cartesian_product2(X2,X4))|X8!=X5|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1293, plain, (in(X5,esk294_3(X2,X3,X4))|in(esk288_2(X2,X3),X2)|empty(X2)|~in(ordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),X3)|X6!=X7|~in(X1,X7)|ordered_pair(X6,X1)!=X5|~in(X6,X2)|~in(X8,cartesian_product2(X2,X4))|X8!=X5|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1294, plain, (in(X5,esk294_3(X2,X3,X4))|esk291_2(X2,X3)=esk293_2(X2,X3)|empty(X2)|~in(ordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),X3)|X6!=X7|~in(X1,X7)|ordered_pair(X6,X1)!=X5|~in(X6,X2)|~in(X8,cartesian_product2(X2,X4))|X8!=X5|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1295, plain, (in(X5,esk294_3(X2,X3,X4))|esk288_2(X2,X3)=esk290_2(X2,X3)|empty(X2)|~in(ordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),X3)|X6!=X7|~in(X1,X7)|ordered_pair(X6,X1)!=X5|~in(X6,X2)|~in(X8,cartesian_product2(X2,X4))|X8!=X5|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1296, plain, (in(X5,esk294_3(X2,X3,X4))|esk285_2(X2,X3)=esk287_2(X2,X3)|empty(X2)|~in(ordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),X3)|X6!=X7|~in(X1,X7)|ordered_pair(X6,X1)!=X5|~in(X6,X2)|~in(X8,cartesian_product2(X2,X4))|X8!=X5|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1297, plain, (in(X5,esk294_3(X2,X3,X4))|esk285_2(X2,X3)=esk286_2(X2,X3)|empty(X2)|~in(ordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),X3)|X6!=X7|~in(X1,X7)|ordered_pair(X6,X1)!=X5|~in(X6,X2)|~in(X8,cartesian_product2(X2,X4))|X8!=X5|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1298, lemma, (in(X5,esk422_3(X2,X3,X4))|empty(X2)|~in(ordered_pair(X1,esk426_7(X2,X3,X4,X5,X6,X1,X7)),X3)|X6!=X7|~in(X1,X7)|ordered_pair(X6,X1)!=X5|~in(X6,X2)|~in(X5,cartesian_product2(X2,X4))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_883])).
% 282.28/198.90 cnf(i_0_1299, plain, (in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(X4,esk294_3(X1,X2,X3))|in(ordered_pair(esk292_2(X1,X2),X9),X2)|empty(X1)|X5!=X7|~in(X6,X7)|ordered_pair(X5,X6)!=X4|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))|X8!=X4|~in(X9,esk293_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1300, plain, (in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(X4,esk294_3(X1,X2,X3))|in(ordered_pair(esk289_2(X1,X2),X9),X2)|empty(X1)|X5!=X7|~in(X6,X7)|ordered_pair(X5,X6)!=X4|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))|X8!=X4|~in(X9,esk290_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1301, plain, (in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(X4,esk294_3(X1,X2,X3))|ordered_pair(esk291_2(X1,X2),esk292_2(X1,X2))=esk287_2(X1,X2)|empty(X1)|X5!=X7|~in(X6,X7)|ordered_pair(X5,X6)!=X4|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))|X8!=X4|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1302, plain, (in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(X4,esk294_3(X1,X2,X3))|ordered_pair(esk288_2(X1,X2),esk289_2(X1,X2))=esk286_2(X1,X2)|empty(X1)|X5!=X7|~in(X6,X7)|ordered_pair(X5,X6)!=X4|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))|X8!=X4|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1303, plain, (in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(X4,esk294_3(X1,X2,X3))|in(esk292_2(X1,X2),esk293_2(X1,X2))|empty(X1)|X5!=X7|~in(X6,X7)|ordered_pair(X5,X6)!=X4|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))|X8!=X4|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1304, plain, (in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(X4,esk294_3(X1,X2,X3))|in(esk289_2(X1,X2),esk290_2(X1,X2))|empty(X1)|X5!=X7|~in(X6,X7)|ordered_pair(X5,X6)!=X4|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))|X8!=X4|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1305, plain, (in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(X4,esk294_3(X1,X2,X3))|empty(X1)|X5!=X7|~in(X6,X7)|ordered_pair(X5,X6)!=X4|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))|X8!=X4|esk286_2(X1,X2)!=esk287_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1306, plain, (in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(X4,esk294_3(X1,X2,X3))|in(esk291_2(X1,X2),X1)|empty(X1)|X5!=X7|~in(X6,X7)|ordered_pair(X5,X6)!=X4|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))|X8!=X4|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1307, plain, (in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(X4,esk294_3(X1,X2,X3))|in(esk288_2(X1,X2),X1)|empty(X1)|X5!=X7|~in(X6,X7)|ordered_pair(X5,X6)!=X4|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))|X8!=X4|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1308, plain, (in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(X4,esk294_3(X1,X2,X3))|esk291_2(X1,X2)=esk293_2(X1,X2)|empty(X1)|X5!=X7|~in(X6,X7)|ordered_pair(X5,X6)!=X4|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))|X8!=X4|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1309, plain, (in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(X4,esk294_3(X1,X2,X3))|esk288_2(X1,X2)=esk290_2(X1,X2)|empty(X1)|X5!=X7|~in(X6,X7)|ordered_pair(X5,X6)!=X4|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))|X8!=X4|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1310, plain, (in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(X4,esk294_3(X1,X2,X3))|esk285_2(X1,X2)=esk287_2(X1,X2)|empty(X1)|X5!=X7|~in(X6,X7)|ordered_pair(X5,X6)!=X4|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))|X8!=X4|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1311, plain, (in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(X4,esk294_3(X1,X2,X3))|esk285_2(X1,X2)=esk286_2(X1,X2)|empty(X1)|X5!=X7|~in(X6,X7)|ordered_pair(X5,X6)!=X4|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))|X8!=X4|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1312, lemma, (in(esk426_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(X4,esk422_3(X1,X2,X3))|empty(X1)|X5!=X7|~in(X6,X7)|ordered_pair(X5,X6)!=X4|~in(X5,X1)|~in(X4,cartesian_product2(X1,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_883])).
% 282.28/198.90 cnf(i_0_1313, plain, (in(ordered_pair(esk137_5(X1,X2,X3,X4,X5),X5),X2)|~in(ordered_pair(X4,X5),X3)|X3!=relation_composition(X1,X2)|~relation(X3)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_884])).
% 282.28/198.90 cnf(i_0_1314, plain, (in(ordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk403_4(X2,X3,X1,X4))),X3)|in(ordered_pair(apply(X1,esk398_3(X2,X3,X1)),apply(X1,esk399_3(X2,X3,X1))),X3)|~in(X4,esk400_3(X2,X3,X1))|~relation(X3)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1315, plain, (in(ordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk403_4(X2,X3,X1,X4))),X3)|in(ordered_pair(apply(X1,esk396_3(X2,X3,X1)),apply(X1,esk397_3(X2,X3,X1))),X3)|~in(X4,esk400_3(X2,X3,X1))|~relation(X3)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1316, plain, (in(X5,esk370_3(X2,X3,X4))|ordered_pair(esk368_2(X2,X3),esk369_2(X2,X3))=esk365_2(X2,X3)|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|X7!=X5|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1317, plain, (in(X5,esk370_3(X2,X3,X4))|ordered_pair(esk366_2(X2,X3),esk367_2(X2,X3))=esk364_2(X2,X3)|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|X7!=X5|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1318, plain, (in(X5,esk370_3(X2,X3,X4))|esk369_2(X2,X3)=subset_complement(the_carrier(X2),X8)|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|X7!=X5|~element(X8,powerset(the_carrier(X2)))|X8!=esk368_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1319, plain, (in(X5,esk370_3(X2,X3,X4))|esk367_2(X2,X3)=subset_complement(the_carrier(X2),X8)|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|X7!=X5|~element(X8,powerset(the_carrier(X2)))|X8!=esk366_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1320, plain, (in(X5,esk388_3(X2,X3,X4))|ordered_pair(esk386_2(X2,X3),esk387_2(X2,X3))=esk383_2(X2,X3)|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|X7!=X5|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1321, plain, (in(X5,esk388_3(X2,X3,X4))|ordered_pair(esk384_2(X2,X3),esk385_2(X2,X3))=esk382_2(X2,X3)|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|X7!=X5|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1322, plain, (in(X5,esk370_3(X2,X3,X4))|in(esk368_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|X7!=X5|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1323, plain, (in(X5,esk370_3(X2,X3,X4))|in(esk366_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|X7!=X5|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1324, plain, (in(X5,esk370_3(X2,X3,X4))|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|X7!=X5|esk364_2(X2,X3)!=esk365_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1325, plain, (in(X5,esk370_3(X2,X3,X4))|esk363_2(X2,X3)=esk365_2(X2,X3)|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|X7!=X5|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1326, plain, (in(X5,esk370_3(X2,X3,X4))|esk363_2(X2,X3)=esk364_2(X2,X3)|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|X7!=X5|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1327, lemma, (in(X5,esk443_3(X2,X3,X4))|X1!=subset_complement(the_carrier(X2),esk446_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_888])).
% 282.28/198.90 cnf(i_0_1328, plain, (in(X5,esk388_3(X2,X3,X4))|esk387_2(X2,X3)=subset_complement(the_carrier(X2),X8)|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|X7!=X5|~element(X8,powerset(the_carrier(X2)))|X8!=esk386_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1329, plain, (in(X5,esk388_3(X2,X3,X4))|esk385_2(X2,X3)=subset_complement(the_carrier(X2),X8)|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|X7!=X5|~element(X8,powerset(the_carrier(X2)))|X8!=esk384_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1330, plain, (in(X5,esk388_3(X2,X3,X4))|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|X7!=X5|esk382_2(X2,X3)!=esk383_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1331, plain, (in(X5,esk388_3(X2,X3,X4))|in(esk386_2(X2,X3),X3)|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|X7!=X5|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1332, plain, (in(X5,esk388_3(X2,X3,X4))|in(esk384_2(X2,X3),X3)|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|X7!=X5|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1333, plain, (in(X5,esk388_3(X2,X3,X4))|esk381_2(X2,X3)=esk383_2(X2,X3)|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|X7!=X5|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1334, plain, (in(X5,esk388_3(X2,X3,X4))|esk381_2(X2,X3)=esk382_2(X2,X3)|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|X7!=X5|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1335, lemma, (in(X5,esk447_3(X2,X3,X4))|X1!=subset_complement(the_carrier(X2),esk450_6(X2,X3,X4,X5,X6,X1))|ordered_pair(X6,X1)!=X5|~in(X6,X3)|~in(X5,cartesian_product2(X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_889])).
% 282.28/198.90 cnf(i_0_1336, plain, (in(ordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk403_4(X2,X3,X1,X4))),X3)|esk395_3(X2,X3,X1)=ordered_pair(esk398_3(X2,X3,X1),esk399_3(X2,X3,X1))|~in(X4,esk400_3(X2,X3,X1))|~relation(X3)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1337, plain, (in(ordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk403_4(X2,X3,X1,X4))),X3)|esk394_3(X2,X3,X1)=ordered_pair(esk396_3(X2,X3,X1),esk397_3(X2,X3,X1))|~in(X4,esk400_3(X2,X3,X1))|~relation(X3)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1338, plain, (in(ordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk403_4(X2,X3,X1,X4))),X3)|~in(X4,esk400_3(X2,X3,X1))|esk394_3(X2,X3,X1)!=esk395_3(X2,X3,X1)|~relation(X3)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1339, plain, (in(ordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk403_4(X2,X3,X1,X4))),X3)|esk393_3(X2,X3,X1)=esk395_3(X2,X3,X1)|~in(X4,esk400_3(X2,X3,X1))|~relation(X3)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1340, plain, (in(ordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk403_4(X2,X3,X1,X4))),X3)|esk393_3(X2,X3,X1)=esk394_3(X2,X3,X1)|~in(X4,esk400_3(X2,X3,X1))|~relation(X3)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1341, lemma, (in(ordered_pair(apply(X1,esk452_4(X2,X3,X1,X4)),apply(X1,esk453_4(X2,X3,X1,X4))),X3)|~in(X4,esk451_3(X2,X3,X1))|~relation(X3)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_890])).
% 282.28/198.90 cnf(i_0_1342, lemma, (in(ordered_pair(X4,X1),esk252_2(X2,X3))|in(ordered_pair(esk249_2(X2,X3),X6),X3)|empty(X2)|~in(ordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~in(X6,esk251_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1343, lemma, (in(ordered_pair(X4,X1),esk252_2(X2,X3))|in(ordered_pair(esk248_2(X2,X3),X6),X3)|empty(X2)|~in(ordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~in(X6,esk250_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1344, plain, (in(X1,esk281_2(X2,X3))|in(ordered_pair(esk278_2(X2,X3),X6),X3)|empty(X2)|~in(ordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~in(X6,esk280_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1345, plain, (in(X1,esk281_2(X2,X3))|in(ordered_pair(esk277_2(X2,X3),X6),X3)|empty(X2)|~in(ordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~in(X6,esk279_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1346, lemma, (in(ordered_pair(X4,X1),esk252_2(X2,X3))|in(esk249_2(X2,X3),esk251_2(X2,X3))|empty(X2)|~in(ordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1347, lemma, (in(ordered_pair(X4,X1),esk252_2(X2,X3))|in(esk248_2(X2,X3),esk250_2(X2,X3))|empty(X2)|~in(ordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1348, lemma, (in(ordered_pair(X4,X1),esk252_2(X2,X3))|empty(X2)|~in(ordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|esk248_2(X2,X3)!=esk249_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1349, lemma, (in(ordered_pair(X4,X1),esk252_2(X2,X3))|in(esk247_2(X2,X3),X2)|empty(X2)|~in(ordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1350, lemma, (in(ordered_pair(X4,X1),esk252_2(X2,X3))|in(esk247_2(X2,X3),X2)|empty(X2)|~in(ordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1351, lemma, (in(ordered_pair(X4,X1),esk252_2(X2,X3))|esk247_2(X2,X3)=esk251_2(X2,X3)|empty(X2)|~in(ordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1352, lemma, (in(ordered_pair(X4,X1),esk252_2(X2,X3))|esk247_2(X2,X3)=esk250_2(X2,X3)|empty(X2)|~in(ordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1353, plain, (in(X1,esk281_2(X2,X3))|in(esk278_2(X2,X3),esk280_2(X2,X3))|empty(X2)|~in(ordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1354, plain, (in(X1,esk281_2(X2,X3))|in(esk277_2(X2,X3),esk279_2(X2,X3))|empty(X2)|~in(ordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1355, plain, (in(X1,esk281_2(X2,X3))|empty(X2)|~in(ordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|esk277_2(X2,X3)!=esk278_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1356, plain, (in(X1,esk281_2(X2,X3))|in(esk276_2(X2,X3),X2)|empty(X2)|~in(ordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1357, plain, (in(X1,esk281_2(X2,X3))|in(esk276_2(X2,X3),X2)|empty(X2)|~in(ordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1358, plain, (in(X1,esk281_2(X2,X3))|esk276_2(X2,X3)=esk280_2(X2,X3)|empty(X2)|~in(ordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1359, plain, (in(X1,esk281_2(X2,X3))|esk276_2(X2,X3)=esk279_2(X2,X3)|empty(X2)|~in(ordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),X3)|X4!=X5|~in(X1,X5)|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1360, plain, (element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk370_3(X1,X2,X3))|ordered_pair(esk368_2(X1,X2),esk369_2(X1,X2))=esk365_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1361, plain, (element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk370_3(X1,X2,X3))|ordered_pair(esk366_2(X1,X2),esk367_2(X1,X2))=esk364_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1362, plain, (element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk370_3(X1,X2,X3))|esk369_2(X1,X2)=subset_complement(the_carrier(X1),X8)|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~element(X8,powerset(the_carrier(X1)))|X8!=esk368_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1363, plain, (element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk370_3(X1,X2,X3))|esk367_2(X1,X2)=subset_complement(the_carrier(X1),X8)|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~element(X8,powerset(the_carrier(X1)))|X8!=esk366_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1364, plain, (element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk388_3(X1,X2,X3))|ordered_pair(esk386_2(X1,X2),esk387_2(X1,X2))=esk383_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1365, plain, (element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk388_3(X1,X2,X3))|ordered_pair(esk384_2(X1,X2),esk385_2(X1,X2))=esk382_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1366, plain, (element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk370_3(X1,X2,X3))|in(esk368_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1367, plain, (element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk370_3(X1,X2,X3))|in(esk366_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1368, plain, (element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk370_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|esk364_2(X1,X2)!=esk365_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1369, plain, (element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk370_3(X1,X2,X3))|esk363_2(X1,X2)=esk365_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1370, plain, (element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk370_3(X1,X2,X3))|esk363_2(X1,X2)=esk364_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1371, lemma, (element(esk446_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk443_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_888])).
% 282.28/198.90 cnf(i_0_1372, plain, (element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk388_3(X1,X2,X3))|esk387_2(X1,X2)=subset_complement(the_carrier(X1),X8)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~element(X8,powerset(the_carrier(X1)))|X8!=esk386_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1373, plain, (element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk388_3(X1,X2,X3))|esk385_2(X1,X2)=subset_complement(the_carrier(X1),X8)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~element(X8,powerset(the_carrier(X1)))|X8!=esk384_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1374, plain, (element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk388_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|esk382_2(X1,X2)!=esk383_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1375, plain, (element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk388_3(X1,X2,X3))|in(esk386_2(X1,X2),X2)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1376, plain, (element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk388_3(X1,X2,X3))|in(esk384_2(X1,X2),X2)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1377, plain, (element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk388_3(X1,X2,X3))|esk381_2(X1,X2)=esk383_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1378, plain, (element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk388_3(X1,X2,X3))|esk381_2(X1,X2)=esk382_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1379, lemma, (element(esk450_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|in(X4,esk447_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X4,cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_889])).
% 282.28/198.90 fof(i_0_1380, plain, ![X3123, X3124, X3125, X3126, X3127, X3128]:(empty(X3123)|empty(X3124)|~function(X3126)|~quasi_total(X3126,cartesian_product2(X3123,X3124),X3125)|~relation_of2(X3126,cartesian_product2(X3123,X3124),X3125)|~element(X3127,X3123)|~element(X3128,X3124)|element(apply_binary_as_element(X3123,X3124,X3125,X3126,X3127,X3128),X3125)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_893])])).
% 282.28/198.90 fof(i_0_1381, plain, ![X2475, X2476, X2477, X2479, X2481, X2482, X2484]:((((((function(esk15_3(X2475,X2476,X2477))|~subnet(X2477,X2475,X2476)|(empty_carrier(X2477)|~transitive_relstr(X2477)|~directed_relstr(X2477)|~net_str(X2477,X2475))|(empty_carrier(X2476)|~transitive_relstr(X2476)|~directed_relstr(X2476)|~net_str(X2476,X2475))|(empty_carrier(X2475)|~one_sorted_str(X2475)))&(quasi_total(esk15_3(X2475,X2476,X2477),the_carrier(X2477),the_carrier(X2476))|~subnet(X2477,X2475,X2476)|(empty_carrier(X2477)|~transitive_relstr(X2477)|~directed_relstr(X2477)|~net_str(X2477,X2475))|(empty_carrier(X2476)|~transitive_relstr(X2476)|~directed_relstr(X2476)|~net_str(X2476,X2475))|(empty_carrier(X2475)|~one_sorted_str(X2475))))&(relation_of2_as_subset(esk15_3(X2475,X2476,X2477),the_carrier(X2477),the_carrier(X2476))|~subnet(X2477,X2475,X2476)|(empty_carrier(X2477)|~transitive_relstr(X2477)|~directed_relstr(X2477)|~net_str(X2477,X2475))|(empty_carrier(X2476)|~transitive_relstr(X2476)|~directed_relstr(X2476)|~net_str(X2476,X2475))|(empty_carrier(X2475)|~one_sorted_str(X2475))))&(the_mapping(X2475,X2477)=function_of_composition(the_carrier(X2477),the_carrier(X2476),the_carrier(X2475),esk15_3(X2475,X2476,X2477),the_mapping(X2475,X2476))|~subnet(X2477,X2475,X2476)|(empty_carrier(X2477)|~transitive_relstr(X2477)|~directed_relstr(X2477)|~net_str(X2477,X2475))|(empty_carrier(X2476)|~transitive_relstr(X2476)|~directed_relstr(X2476)|~net_str(X2476,X2475))|(empty_carrier(X2475)|~one_sorted_str(X2475))))&((element(esk16_4(X2475,X2476,X2477,X2479),the_carrier(X2477))|~element(X2479,the_carrier(X2476))|~subnet(X2477,X2475,X2476)|(empty_carrier(X2477)|~transitive_relstr(X2477)|~directed_relstr(X2477)|~net_str(X2477,X2475))|(empty_carrier(X2476)|~transitive_relstr(X2476)|~directed_relstr(X2476)|~net_str(X2476,X2475))|(empty_carrier(X2475)|~one_sorted_str(X2475)))&(~element(X2481,the_carrier(X2477))|(~related(X2477,esk16_4(X2475,X2476,X2477,X2479),X2481)|related(X2476,X2479,apply_on_set_and_struct(the_carrier(X2477),X2476,esk15_3(X2475,X2476,X2477),X2481)))|~element(X2479,the_carrier(X2476))|~subnet(X2477,X2475,X2476)|(empty_carrier(X2477)|~transitive_relstr(X2477)|~directed_relstr(X2477)|~net_str(X2477,X2475))|(empty_carrier(X2476)|~transitive_relstr(X2476)|~directed_relstr(X2476)|~net_str(X2476,X2475))|(empty_carrier(X2475)|~one_sorted_str(X2475)))))&((element(esk17_4(X2475,X2476,X2477,X2482),the_carrier(X2476))|(~function(X2482)|~quasi_total(X2482,the_carrier(X2477),the_carrier(X2476))|~relation_of2_as_subset(X2482,the_carrier(X2477),the_carrier(X2476))|the_mapping(X2475,X2477)!=function_of_composition(the_carrier(X2477),the_carrier(X2476),the_carrier(X2475),X2482,the_mapping(X2475,X2476)))|subnet(X2477,X2475,X2476)|(empty_carrier(X2477)|~transitive_relstr(X2477)|~directed_relstr(X2477)|~net_str(X2477,X2475))|(empty_carrier(X2476)|~transitive_relstr(X2476)|~directed_relstr(X2476)|~net_str(X2476,X2475))|(empty_carrier(X2475)|~one_sorted_str(X2475)))&((element(esk18_5(X2475,X2476,X2477,X2482,X2484),the_carrier(X2477))|~element(X2484,the_carrier(X2477))|(~function(X2482)|~quasi_total(X2482,the_carrier(X2477),the_carrier(X2476))|~relation_of2_as_subset(X2482,the_carrier(X2477),the_carrier(X2476))|the_mapping(X2475,X2477)!=function_of_composition(the_carrier(X2477),the_carrier(X2476),the_carrier(X2475),X2482,the_mapping(X2475,X2476)))|subnet(X2477,X2475,X2476)|(empty_carrier(X2477)|~transitive_relstr(X2477)|~directed_relstr(X2477)|~net_str(X2477,X2475))|(empty_carrier(X2476)|~transitive_relstr(X2476)|~directed_relstr(X2476)|~net_str(X2476,X2475))|(empty_carrier(X2475)|~one_sorted_str(X2475)))&((related(X2477,X2484,esk18_5(X2475,X2476,X2477,X2482,X2484))|~element(X2484,the_carrier(X2477))|(~function(X2482)|~quasi_total(X2482,the_carrier(X2477),the_carrier(X2476))|~relation_of2_as_subset(X2482,the_carrier(X2477),the_carrier(X2476))|the_mapping(X2475,X2477)!=function_of_composition(the_carrier(X2477),the_carrier(X2476),the_carrier(X2475),X2482,the_mapping(X2475,X2476)))|subnet(X2477,X2475,X2476)|(empty_carrier(X2477)|~transitive_relstr(X2477)|~directed_relstr(X2477)|~net_str(X2477,X2475))|(empty_carrier(X2476)|~transitive_relstr(X2476)|~directed_relstr(X2476)|~net_str(X2476,X2475))|(empty_carrier(X2475)|~one_sorted_str(X2475)))&(~related(X2476,esk17_4(X2475,X2476,X2477,X2482),apply_on_set_and_struct(the_carrier(X2477),X2476,X2482,esk18_5(X2475,X2476,X2477,X2482,X2484)))|~element(X2484,the_carrier(X2477))|(~function(X2482)|~quasi_total(X2482,the_carrier(X2477),the_carrier(X2476))|~relation_of2_as_subset(X2482,the_carrier(X2477),the_carrier(X2476))|the_mapping(X2475,X2477)!=function_of_composition(the_carrier(X2477),the_carrier(X2476),the_carrier(X2475),X2482,the_mapping(X2475,X2476)))|subnet(X2477,X2475,X2476)|(empty_carrier(X2477)|~transitive_relstr(X2477)|~directed_relstr(X2477)|~net_str(X2477,X2475))|(empty_carrier(X2476)|~transitive_relstr(X2476)|~directed_relstr(X2476)|~net_str(X2476,X2475))|(empty_carrier(X2475)|~one_sorted_str(X2475))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_894])])])])])).
% 282.28/198.90 cnf(i_0_1382, plain, (in(ordered_pair(X1,esk137_5(X2,X3,X4,X1,X5)),X2)|~in(ordered_pair(X1,X5),X4)|X4!=relation_composition(X2,X3)|~relation(X4)|~relation(X3)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_884])).
% 282.28/198.90 cnf(i_0_1383, plain, (relation_isomorphism(X1,X2,X3)|~in(ordered_pair(esk126_3(X1,X2,X3),esk127_3(X1,X2,X3)),X1)|~in(esk126_3(X1,X2,X3),relation_field(X1))|~in(esk127_3(X1,X2,X3),relation_field(X1))|~in(ordered_pair(apply(X3,esk126_3(X1,X2,X3)),apply(X3,esk127_3(X1,X2,X3))),X2)|relation_dom(X3)!=relation_field(X1)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X3)|~function(X3)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_895])).
% 282.28/198.90 cnf(i_0_1384, plain, (X1=ordered_pair(esk402_4(X2,X3,X4,X1),esk403_4(X2,X3,X4,X1))|in(ordered_pair(apply(X4,esk398_3(X2,X3,X4)),apply(X4,esk399_3(X2,X3,X4))),X3)|~in(X1,esk400_3(X2,X3,X4))|~relation(X3)|~relation(X4)|~function(X4)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1385, plain, (X1=ordered_pair(esk402_4(X2,X3,X4,X1),esk403_4(X2,X3,X4,X1))|in(ordered_pair(apply(X4,esk396_3(X2,X3,X4)),apply(X4,esk397_3(X2,X3,X4))),X3)|~in(X1,esk400_3(X2,X3,X4))|~relation(X3)|~relation(X4)|~function(X4)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1386, plain, (in(ordered_pair(esk297_4(X2,X3,X4,X5),X1),X3)|in(ordered_pair(esk292_2(X2,X3),X6),X3)|empty(X2)|~in(X1,esk298_4(X2,X3,X4,X5))|~in(X5,esk294_3(X2,X3,X4))|~in(X6,esk293_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1387, plain, (in(ordered_pair(esk297_4(X2,X3,X4,X5),X1),X3)|in(ordered_pair(esk289_2(X2,X3),X6),X3)|empty(X2)|~in(X1,esk298_4(X2,X3,X4,X5))|~in(X5,esk294_3(X2,X3,X4))|~in(X6,esk290_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1388, plain, (in(ordered_pair(esk297_4(X2,X3,X4,X5),X1),X3)|ordered_pair(esk291_2(X2,X3),esk292_2(X2,X3))=esk287_2(X2,X3)|empty(X2)|~in(X1,esk298_4(X2,X3,X4,X5))|~in(X5,esk294_3(X2,X3,X4))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1389, plain, (in(ordered_pair(esk297_4(X2,X3,X4,X5),X1),X3)|ordered_pair(esk288_2(X2,X3),esk289_2(X2,X3))=esk286_2(X2,X3)|empty(X2)|~in(X1,esk298_4(X2,X3,X4,X5))|~in(X5,esk294_3(X2,X3,X4))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1390, plain, (in(ordered_pair(esk297_4(X2,X3,X4,X5),X1),X3)|in(esk292_2(X2,X3),esk293_2(X2,X3))|empty(X2)|~in(X1,esk298_4(X2,X3,X4,X5))|~in(X5,esk294_3(X2,X3,X4))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1391, plain, (in(ordered_pair(esk297_4(X2,X3,X4,X5),X1),X3)|in(esk289_2(X2,X3),esk290_2(X2,X3))|empty(X2)|~in(X1,esk298_4(X2,X3,X4,X5))|~in(X5,esk294_3(X2,X3,X4))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1392, plain, (in(ordered_pair(esk297_4(X2,X3,X4,X5),X1),X3)|empty(X2)|~in(X1,esk298_4(X2,X3,X4,X5))|~in(X5,esk294_3(X2,X3,X4))|esk286_2(X2,X3)!=esk287_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1393, plain, (in(ordered_pair(esk297_4(X2,X3,X4,X5),X1),X3)|in(esk291_2(X2,X3),X2)|empty(X2)|~in(X1,esk298_4(X2,X3,X4,X5))|~in(X5,esk294_3(X2,X3,X4))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1394, plain, (in(ordered_pair(esk297_4(X2,X3,X4,X5),X1),X3)|in(esk288_2(X2,X3),X2)|empty(X2)|~in(X1,esk298_4(X2,X3,X4,X5))|~in(X5,esk294_3(X2,X3,X4))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1395, plain, (in(ordered_pair(esk297_4(X2,X3,X4,X5),X1),X3)|esk291_2(X2,X3)=esk293_2(X2,X3)|empty(X2)|~in(X1,esk298_4(X2,X3,X4,X5))|~in(X5,esk294_3(X2,X3,X4))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1396, plain, (in(ordered_pair(esk297_4(X2,X3,X4,X5),X1),X3)|esk288_2(X2,X3)=esk290_2(X2,X3)|empty(X2)|~in(X1,esk298_4(X2,X3,X4,X5))|~in(X5,esk294_3(X2,X3,X4))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1397, plain, (in(ordered_pair(esk297_4(X2,X3,X4,X5),X1),X3)|esk285_2(X2,X3)=esk287_2(X2,X3)|empty(X2)|~in(X1,esk298_4(X2,X3,X4,X5))|~in(X5,esk294_3(X2,X3,X4))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1398, plain, (in(ordered_pair(esk297_4(X2,X3,X4,X5),X1),X3)|esk285_2(X2,X3)=esk286_2(X2,X3)|empty(X2)|~in(X1,esk298_4(X2,X3,X4,X5))|~in(X5,esk294_3(X2,X3,X4))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1399, lemma, (in(ordered_pair(esk424_4(X2,X3,X4,X5),X1),X3)|empty(X2)|~in(X1,esk425_4(X2,X3,X4,X5))|~in(X5,esk422_3(X2,X3,X4))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_883])).
% 282.28/198.90 cnf(i_0_1400, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk370_3(X1,X2,X3))|ordered_pair(esk368_2(X1,X2),esk369_2(X1,X2))=esk365_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1401, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk370_3(X1,X2,X3))|ordered_pair(esk366_2(X1,X2),esk367_2(X1,X2))=esk364_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1402, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk370_3(X1,X2,X3))|esk369_2(X1,X2)=subset_complement(the_carrier(X1),X8)|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~element(X8,powerset(the_carrier(X1)))|X8!=esk368_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1403, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk370_3(X1,X2,X3))|esk367_2(X1,X2)=subset_complement(the_carrier(X1),X8)|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~element(X8,powerset(the_carrier(X1)))|X8!=esk366_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1404, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk388_3(X1,X2,X3))|ordered_pair(esk386_2(X1,X2),esk387_2(X1,X2))=esk383_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1405, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk388_3(X1,X2,X3))|ordered_pair(esk384_2(X1,X2),esk385_2(X1,X2))=esk382_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1406, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk370_3(X1,X2,X3))|in(esk368_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1407, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk370_3(X1,X2,X3))|in(esk366_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1408, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk370_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|esk364_2(X1,X2)!=esk365_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1409, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk370_3(X1,X2,X3))|esk363_2(X1,X2)=esk365_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1410, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk370_3(X1,X2,X3))|esk363_2(X1,X2)=esk364_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1411, lemma, (esk446_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk443_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_888])).
% 282.28/198.90 cnf(i_0_1412, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk388_3(X1,X2,X3))|esk387_2(X1,X2)=subset_complement(the_carrier(X1),X8)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~element(X8,powerset(the_carrier(X1)))|X8!=esk386_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1413, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk388_3(X1,X2,X3))|esk385_2(X1,X2)=subset_complement(the_carrier(X1),X8)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~element(X8,powerset(the_carrier(X1)))|X8!=esk384_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1414, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk388_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|esk382_2(X1,X2)!=esk383_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1415, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk388_3(X1,X2,X3))|in(esk386_2(X1,X2),X2)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1416, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk388_3(X1,X2,X3))|in(esk384_2(X1,X2),X2)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1417, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk388_3(X1,X2,X3))|esk381_2(X1,X2)=esk383_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1418, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk388_3(X1,X2,X3))|esk381_2(X1,X2)=esk382_2(X1,X2)|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|X7!=X4|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1419, lemma, (esk450_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk447_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~in(X5,X2)|~in(X4,cartesian_product2(X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_889])).
% 282.28/198.90 fof(i_0_1420, plain, ![X3658, X3659, X3660, X3661, X3662, X3663]:(empty(X3658)|empty(X3659)|~function(X3661)|~quasi_total(X3661,cartesian_product2(X3658,X3659),X3660)|~relation_of2(X3661,cartesian_product2(X3658,X3659),X3660)|~element(X3662,X3658)|~element(X3663,X3659)|apply_binary_as_element(X3658,X3659,X3660,X3661,X3662,X3663)=apply_binary(X3661,X3662,X3663)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_896])])).
% 282.28/198.90 cnf(i_0_1421, lemma, (in(ordered_pair(esk513_4(X1,X2,X3,X4),X4),X3)|relation_rng_as_subset(X1,X2,X3)!=X2|~in(X4,X2)|~relation_of2_as_subset(X3,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_897])).
% 282.28/198.90 fof(i_0_1422, plain, ![X2605, X2606, X2607]:(empty_carrier(X2605)|~join_semilatt_str(X2605)|(~element(X2606,the_carrier(X2605))|(~element(X2607,the_carrier(X2605))|join(X2605,X2606,X2607)=apply_binary_as_element(the_carrier(X2605),the_carrier(X2605),the_carrier(X2605),the_L_join(X2605),X2606,X2607)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_898])])])).
% 282.28/198.90 fof(i_0_1423, plain, ![X2720, X2721, X2722]:(empty_carrier(X2720)|~meet_semilatt_str(X2720)|(~element(X2721,the_carrier(X2720))|(~element(X2722,the_carrier(X2720))|meet(X2720,X2721,X2722)=apply_binary_as_element(the_carrier(X2720),the_carrier(X2720),the_carrier(X2720),the_L_meet(X2720),X2721,X2722)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_899])])])).
% 282.28/198.90 cnf(i_0_1424, plain, (in(ordered_pair(esk25_4(X1,X2,X3,X4),X4),X1)|~in(X4,X3)|X3!=relation_image(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_900])).
% 282.28/198.90 cnf(i_0_1425, plain, (X3=relation_composition(X1,X2)|~in(ordered_pair(esk138_3(X1,X2,X3),esk139_3(X1,X2,X3)),X3)|~in(ordered_pair(esk138_3(X1,X2,X3),X4),X1)|~in(ordered_pair(X4,esk139_3(X1,X2,X3)),X2)|~relation(X3)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_884])).
% 282.28/198.90 cnf(i_0_1426, plain, (X3=relation_rng_restriction(X1,X2)|~in(ordered_pair(esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)),X3)|~in(esk12_3(X1,X2,X3),X1)|~in(ordered_pair(esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)),X2)|~relation(X3)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_901])).
% 282.28/198.90 cnf(i_0_1427, plain, (X3=relation_dom_restriction(X1,X2)|~in(ordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),X3)|~in(esk4_3(X1,X2,X3),X2)|~in(ordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),X1)|~relation(X3)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_902])).
% 282.28/198.90 cnf(i_0_1428, plain, (in(ordered_pair(apply(X1,esk126_3(X2,X3,X1)),apply(X1,esk127_3(X2,X3,X1))),X3)|in(ordered_pair(esk126_3(X2,X3,X1),esk127_3(X2,X3,X1)),X2)|relation_isomorphism(X2,X3,X1)|relation_dom(X1)!=relation_field(X2)|relation_rng(X1)!=relation_field(X3)|~one_to_one(X1)|~relation(X1)|~function(X1)|~relation(X3)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_895])).
% 282.28/198.90 cnf(i_0_1429, plain, (X1=ordered_pair(esk402_4(X2,X3,X4,X1),esk403_4(X2,X3,X4,X1))|esk395_3(X2,X3,X4)=ordered_pair(esk398_3(X2,X3,X4),esk399_3(X2,X3,X4))|~in(X1,esk400_3(X2,X3,X4))|~relation(X3)|~relation(X4)|~function(X4)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1430, plain, (X1=ordered_pair(esk402_4(X2,X3,X4,X1),esk403_4(X2,X3,X4,X1))|esk394_3(X2,X3,X4)=ordered_pair(esk396_3(X2,X3,X4),esk397_3(X2,X3,X4))|~in(X1,esk400_3(X2,X3,X4))|~relation(X3)|~relation(X4)|~function(X4)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1431, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(ordered_pair(esk464_2(X2,X3),X7),X3)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~in(ordered_pair(X5,esk468_4(X2,X3,X5,X6)),X3)|esk467_2(X2,X3)!=X6|~in(X5,X6)|~in(X7,esk466_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1432, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(ordered_pair(esk463_2(X2,X3),X7),X3)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~in(ordered_pair(X5,esk468_4(X2,X3,X5,X6)),X3)|esk467_2(X2,X3)!=X6|~in(X5,X6)|~in(X7,esk465_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1433, plain, (in(X3,esk400_3(X2,X7,X6))|in(ordered_pair(apply(X6,esk398_3(X2,X7,X6)),apply(X6,esk399_3(X2,X7,X6))),X7)|~in(X1,cartesian_product2(X2,X2))|X1!=X3|X3!=ordered_pair(X4,X5)|~in(ordered_pair(apply(X6,X4),apply(X6,X5)),X7)|~relation(X7)|~relation(X6)|~function(X6)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1434, plain, (in(X3,esk400_3(X2,X7,X6))|in(ordered_pair(apply(X6,esk396_3(X2,X7,X6)),apply(X6,esk397_3(X2,X7,X6))),X7)|~in(X1,cartesian_product2(X2,X2))|X1!=X3|X3!=ordered_pair(X4,X5)|~in(ordered_pair(apply(X6,X4),apply(X6,X5)),X7)|~relation(X7)|~relation(X6)|~function(X6)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1435, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk464_2(X2,X3),esk466_2(X2,X3))|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~in(ordered_pair(X5,esk468_4(X2,X3,X5,X6)),X3)|esk467_2(X2,X3)!=X6|~in(X5,X6)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1436, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk463_2(X2,X3),esk465_2(X2,X3))|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~in(ordered_pair(X5,esk468_4(X2,X3,X5,X6)),X3)|esk467_2(X2,X3)!=X6|~in(X5,X6)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1437, plain, (ordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4))=X4|in(ordered_pair(esk292_2(X1,X2),X5),X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~in(X5,esk293_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1438, plain, (ordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4))=X4|in(ordered_pair(esk289_2(X1,X2),X5),X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~in(X5,esk290_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1439, plain, (in(esk401_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|in(ordered_pair(apply(X3,esk398_3(X1,X2,X3)),apply(X3,esk399_3(X1,X2,X3))),X2)|~in(X4,esk400_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1440, plain, (in(esk401_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|in(ordered_pair(apply(X3,esk396_3(X1,X2,X3)),apply(X3,esk397_3(X1,X2,X3))),X2)|~in(X4,esk400_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1441, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~in(ordered_pair(X5,esk468_4(X2,X3,X5,X6)),X3)|esk467_2(X2,X3)!=X6|~in(X5,X6)|esk463_2(X2,X3)!=esk464_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1442, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk462_2(X2,X3),X2)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~in(ordered_pair(X5,esk468_4(X2,X3,X5,X6)),X3)|esk467_2(X2,X3)!=X6|~in(X5,X6)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1443, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|esk462_2(X2,X3)=esk466_2(X2,X3)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~in(ordered_pair(X5,esk468_4(X2,X3,X5,X6)),X3)|esk467_2(X2,X3)!=X6|~in(X5,X6)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1444, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|esk462_2(X2,X3)=esk465_2(X2,X3)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~in(ordered_pair(X5,esk468_4(X2,X3,X5,X6)),X3)|esk467_2(X2,X3)!=X6|~in(X5,X6)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1445, plain, (ordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4))=X4|ordered_pair(esk386_2(X1,X2),esk387_2(X1,X2))=esk383_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1446, plain, (ordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4))=X4|ordered_pair(esk384_2(X1,X2),esk385_2(X1,X2))=esk382_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1447, plain, (ordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4))=X4|ordered_pair(esk368_2(X1,X2),esk369_2(X1,X2))=esk365_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1448, plain, (ordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4))=X4|ordered_pair(esk366_2(X1,X2),esk367_2(X1,X2))=esk364_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1449, plain, (ordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4))=X4|ordered_pair(esk291_2(X1,X2),esk292_2(X1,X2))=esk287_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1450, plain, (ordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4))=X4|ordered_pair(esk288_2(X1,X2),esk289_2(X1,X2))=esk286_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1451, plain, (esk401_4(X1,X2,X3,X4)=X4|in(ordered_pair(apply(X3,esk398_3(X1,X2,X3)),apply(X3,esk399_3(X1,X2,X3))),X2)|~in(X4,esk400_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1452, plain, (esk401_4(X1,X2,X3,X4)=X4|in(ordered_pair(apply(X3,esk396_3(X1,X2,X3)),apply(X3,esk397_3(X1,X2,X3))),X2)|~in(X4,esk400_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1453, plain, (ordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4))=X4|esk387_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk388_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk386_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1454, plain, (ordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4))=X4|esk385_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk388_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk384_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1455, plain, (ordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4))=X4|esk369_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk370_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk368_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1456, plain, (ordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4))=X4|esk367_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk370_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk366_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1457, plain, (X1=ordered_pair(esk402_4(X2,X3,X4,X1),esk403_4(X2,X3,X4,X1))|~in(X1,esk400_3(X2,X3,X4))|esk394_3(X2,X3,X4)!=esk395_3(X2,X3,X4)|~relation(X3)|~relation(X4)|~function(X4)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1458, plain, (ordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4))=X4|in(esk368_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1459, plain, (ordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4))=X4|in(esk366_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1460, plain, (ordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4))=X4|~in(X4,esk388_3(X1,X2,X3))|esk382_2(X1,X2)!=esk383_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1461, plain, (ordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4))=X4|~in(X4,esk370_3(X1,X2,X3))|esk364_2(X1,X2)!=esk365_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1462, plain, (ordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4))=X4|in(esk386_2(X1,X2),X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1463, plain, (ordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4))=X4|in(esk384_2(X1,X2),X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1464, plain, (X1=ordered_pair(esk402_4(X2,X3,X4,X1),esk403_4(X2,X3,X4,X1))|esk393_3(X2,X3,X4)=esk395_3(X2,X3,X4)|~in(X1,esk400_3(X2,X3,X4))|~relation(X3)|~relation(X4)|~function(X4)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1465, plain, (X1=ordered_pair(esk402_4(X2,X3,X4,X1),esk403_4(X2,X3,X4,X1))|esk393_3(X2,X3,X4)=esk394_3(X2,X3,X4)|~in(X1,esk400_3(X2,X3,X4))|~relation(X3)|~relation(X4)|~function(X4)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1466, plain, (ordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4))=X4|esk381_2(X1,X2)=esk383_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1467, plain, (ordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4))=X4|esk381_2(X1,X2)=esk382_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1468, plain, (ordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4))=X4|esk363_2(X1,X2)=esk365_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1469, plain, (ordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4))=X4|esk363_2(X1,X2)=esk364_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1470, lemma, (ordered_pair(esk448_4(X1,X2,X3,X4),esk449_4(X1,X2,X3,X4))=X4|~in(X4,esk447_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_889])).
% 282.28/198.90 cnf(i_0_1471, lemma, (ordered_pair(esk444_4(X1,X2,X3,X4),esk445_4(X1,X2,X3,X4))=X4|~in(X4,esk443_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_888])).
% 282.28/198.90 cnf(i_0_1472, plain, (ordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4))=X4|in(esk292_2(X1,X2),esk293_2(X1,X2))|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1473, plain, (ordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4))=X4|in(esk289_2(X1,X2),esk290_2(X1,X2))|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1474, plain, (ordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4))=X4|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|esk286_2(X1,X2)!=esk287_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1475, plain, (ordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4))=X4|in(esk291_2(X1,X2),X1)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1476, plain, (ordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4))=X4|in(esk288_2(X1,X2),X1)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1477, plain, (ordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4))=X4|esk291_2(X1,X2)=esk293_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1478, plain, (ordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4))=X4|esk288_2(X1,X2)=esk290_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1479, plain, (ordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4))=X4|esk285_2(X1,X2)=esk287_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1480, plain, (ordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4))=X4|esk285_2(X1,X2)=esk286_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1481, lemma, (X1=ordered_pair(esk452_4(X2,X3,X4,X1),esk453_4(X2,X3,X4,X1))|~in(X1,esk451_3(X2,X3,X4))|~relation(X3)|~relation(X4)|~function(X4)), inference(split_conjunct,[status(thm)],[i_0_890])).
% 282.28/198.90 cnf(i_0_1482, lemma, (ordered_pair(esk423_4(X1,X2,X3,X4),esk424_4(X1,X2,X3,X4))=X4|empty(X1)|~in(X4,esk422_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_883])).
% 282.28/198.90 cnf(i_0_1483, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(ordered_pair(esk464_2(X1,X2),X6),X2)|empty(X1)|~in(X3,X1)|~in(ordered_pair(X4,esk468_4(X1,X2,X4,X5)),X2)|esk467_2(X1,X2)!=X5|~in(X4,X5)|~in(X6,esk466_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1484, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(ordered_pair(esk463_2(X1,X2),X6),X2)|empty(X1)|~in(X3,X1)|~in(ordered_pair(X4,esk468_4(X1,X2,X4,X5)),X2)|esk467_2(X1,X2)!=X5|~in(X4,X5)|~in(X6,esk465_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1485, plain, (X1=ordered_pair(esk83_4(X2,X3,X4,X1),esk84_4(X2,X3,X4,X1))|~in(X1,X4)|X4!=cartesian_product2(X2,X3)), inference(split_conjunct,[status(thm)],[i_0_904])).
% 282.28/198.90 cnf(i_0_1486, lemma, (X1=esk470_3(X2,X3,X1)|in(ordered_pair(esk464_2(X2,X3),X6),X3)|empty(X2)|~in(X1,X2)|~in(ordered_pair(X4,esk468_4(X2,X3,X4,X5)),X3)|esk467_2(X2,X3)!=X5|~in(X4,X5)|~in(X6,esk466_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1487, lemma, (X1=esk470_3(X2,X3,X1)|in(ordered_pair(esk463_2(X2,X3),X6),X3)|empty(X2)|~in(X1,X2)|~in(ordered_pair(X4,esk468_4(X2,X3,X4,X5)),X3)|esk467_2(X2,X3)!=X5|~in(X4,X5)|~in(X6,esk465_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1488, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(ordered_pair(esk464_2(X1,X2),X5),X2)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~in(X5,esk466_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1489, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(ordered_pair(esk463_2(X1,X2),X5),X2)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~in(X5,esk465_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1490, lemma, (relation(esk469_2(X1,X2))|in(ordered_pair(esk464_2(X1,X2),X5),X2)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~in(X5,esk466_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1491, lemma, (relation(esk469_2(X1,X2))|in(ordered_pair(esk463_2(X1,X2),X5),X2)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~in(X5,esk465_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1492, lemma, (function(esk469_2(X1,X2))|in(ordered_pair(esk464_2(X1,X2),X5),X2)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~in(X5,esk466_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1493, lemma, (function(esk469_2(X1,X2))|in(ordered_pair(esk463_2(X1,X2),X5),X2)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~in(X5,esk465_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1494, plain, (in(ordered_pair(esk140_3(X1,X2,X3),esk139_3(X1,X2,X3)),X2)|in(ordered_pair(esk138_3(X1,X2,X3),esk139_3(X1,X2,X3)),X3)|X3=relation_composition(X1,X2)|~relation(X3)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_884])).
% 282.28/198.90 cnf(i_0_1495, plain, (in(ordered_pair(esk138_3(X1,X2,X3),esk140_3(X1,X2,X3)),X1)|in(ordered_pair(esk138_3(X1,X2,X3),esk139_3(X1,X2,X3)),X3)|X3=relation_composition(X1,X2)|~relation(X3)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_884])).
% 282.28/198.90 cnf(i_0_1496, plain, (in(ordered_pair(esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)),X2)|in(ordered_pair(esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)),X3)|X3=relation_rng_restriction(X1,X2)|~relation(X3)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_901])).
% 282.28/198.90 cnf(i_0_1497, plain, (in(ordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),X1)|in(ordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),X3)|X3=relation_dom_restriction(X1,X2)|~relation(X3)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_902])).
% 282.28/198.90 cnf(i_0_1498, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk464_2(X1,X2),esk466_2(X1,X2))|empty(X1)|~in(X3,X1)|~in(ordered_pair(X4,esk468_4(X1,X2,X4,X5)),X2)|esk467_2(X1,X2)!=X5|~in(X4,X5)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1499, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk463_2(X1,X2),esk465_2(X1,X2))|empty(X1)|~in(X3,X1)|~in(ordered_pair(X4,esk468_4(X1,X2,X4,X5)),X2)|esk467_2(X1,X2)!=X5|~in(X4,X5)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1500, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|empty(X1)|~in(X3,X1)|~in(ordered_pair(X4,esk468_4(X1,X2,X4,X5)),X2)|esk467_2(X1,X2)!=X5|~in(X4,X5)|esk463_2(X1,X2)!=esk464_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1501, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk462_2(X1,X2),X1)|empty(X1)|~in(X3,X1)|~in(ordered_pair(X4,esk468_4(X1,X2,X4,X5)),X2)|esk467_2(X1,X2)!=X5|~in(X4,X5)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1502, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|esk462_2(X1,X2)=esk466_2(X1,X2)|empty(X1)|~in(X3,X1)|~in(ordered_pair(X4,esk468_4(X1,X2,X4,X5)),X2)|esk467_2(X1,X2)!=X5|~in(X4,X5)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1503, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|esk462_2(X1,X2)=esk465_2(X1,X2)|empty(X1)|~in(X3,X1)|~in(ordered_pair(X4,esk468_4(X1,X2,X4,X5)),X2)|esk467_2(X1,X2)!=X5|~in(X4,X5)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1504, lemma, (X1=esk470_3(X2,X3,X1)|in(esk464_2(X2,X3),esk466_2(X2,X3))|empty(X2)|~in(X1,X2)|~in(ordered_pair(X4,esk468_4(X2,X3,X4,X5)),X3)|esk467_2(X2,X3)!=X5|~in(X4,X5)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1505, lemma, (X1=esk470_3(X2,X3,X1)|in(esk463_2(X2,X3),esk465_2(X2,X3))|empty(X2)|~in(X1,X2)|~in(ordered_pair(X4,esk468_4(X2,X3,X4,X5)),X3)|esk467_2(X2,X3)!=X5|~in(X4,X5)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1506, lemma, (X1=esk470_3(X2,X3,X1)|empty(X2)|~in(X1,X2)|~in(ordered_pair(X4,esk468_4(X2,X3,X4,X5)),X3)|esk467_2(X2,X3)!=X5|~in(X4,X5)|esk463_2(X2,X3)!=esk464_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1507, lemma, (X1=esk470_3(X2,X3,X1)|in(esk462_2(X2,X3),X2)|empty(X2)|~in(X1,X2)|~in(ordered_pair(X4,esk468_4(X2,X3,X4,X5)),X3)|esk467_2(X2,X3)!=X5|~in(X4,X5)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1508, lemma, (X1=esk470_3(X2,X3,X1)|esk462_2(X2,X3)=esk466_2(X2,X3)|empty(X2)|~in(X1,X2)|~in(ordered_pair(X4,esk468_4(X2,X3,X4,X5)),X3)|esk467_2(X2,X3)!=X5|~in(X4,X5)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1509, lemma, (X1=esk470_3(X2,X3,X1)|esk462_2(X2,X3)=esk465_2(X2,X3)|empty(X2)|~in(X1,X2)|~in(ordered_pair(X4,esk468_4(X2,X3,X4,X5)),X3)|esk467_2(X2,X3)!=X5|~in(X4,X5)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1510, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk464_2(X1,X2),esk466_2(X1,X2))|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1511, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk463_2(X1,X2),esk465_2(X1,X2))|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1512, lemma, (relation(esk469_2(X1,X2))|in(esk464_2(X1,X2),esk466_2(X1,X2))|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1513, lemma, (relation(esk469_2(X1,X2))|in(esk463_2(X1,X2),esk465_2(X1,X2))|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1514, lemma, (function(esk469_2(X1,X2))|in(esk464_2(X1,X2),esk466_2(X1,X2))|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1515, lemma, (function(esk469_2(X1,X2))|in(esk463_2(X1,X2),esk465_2(X1,X2))|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1516, lemma, (relation_dom(esk469_2(X1,X2))=X1|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|esk463_2(X1,X2)!=esk464_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1517, lemma, (relation(esk469_2(X1,X2))|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|esk463_2(X1,X2)!=esk464_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1518, lemma, (function(esk469_2(X1,X2))|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|esk463_2(X1,X2)!=esk464_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1519, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk462_2(X1,X2),X1)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1520, lemma, (relation(esk469_2(X1,X2))|in(esk462_2(X1,X2),X1)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1521, lemma, (function(esk469_2(X1,X2))|in(esk462_2(X1,X2),X1)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1522, lemma, (relation_dom(esk469_2(X1,X2))=X1|esk462_2(X1,X2)=esk466_2(X1,X2)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1523, lemma, (relation_dom(esk469_2(X1,X2))=X1|esk462_2(X1,X2)=esk465_2(X1,X2)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1524, lemma, (relation(esk469_2(X1,X2))|esk462_2(X1,X2)=esk466_2(X1,X2)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1525, lemma, (function(esk469_2(X1,X2))|esk462_2(X1,X2)=esk466_2(X1,X2)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1526, lemma, (relation(esk469_2(X1,X2))|esk462_2(X1,X2)=esk465_2(X1,X2)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1527, lemma, (function(esk469_2(X1,X2))|esk462_2(X1,X2)=esk465_2(X1,X2)|empty(X1)|~in(ordered_pair(X3,esk468_4(X1,X2,X3,X4)),X2)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1528, lemma, (in(esk254_5(X1,X2,X3,X4,X5),X5)|in(ordered_pair(X3,X4),esk252_2(X1,X2))|in(ordered_pair(esk249_2(X1,X2),X6),X2)|empty(X1)|X3!=X5|~in(X4,X5)|~in(X3,X1)|~in(X6,esk251_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1529, lemma, (in(esk254_5(X1,X2,X3,X4,X5),X5)|in(ordered_pair(X3,X4),esk252_2(X1,X2))|in(ordered_pair(esk248_2(X1,X2),X6),X2)|empty(X1)|X3!=X5|~in(X4,X5)|~in(X3,X1)|~in(X6,esk250_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1530, plain, (in(esk284_5(X1,X2,X3,X4,X5),X5)|in(X3,esk281_2(X1,X2))|in(ordered_pair(esk278_2(X1,X2),X6),X2)|empty(X1)|X4!=X5|~in(X3,X5)|~in(X4,X1)|~in(X6,esk280_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1531, plain, (in(esk284_5(X1,X2,X3,X4,X5),X5)|in(X3,esk281_2(X1,X2))|in(ordered_pair(esk277_2(X1,X2),X6),X2)|empty(X1)|X4!=X5|~in(X3,X5)|~in(X4,X1)|~in(X6,esk279_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 fof(i_0_1532, plain, ![X3207, X3208, X3209, X3210, X3211]:(((function(function_of_composition(X3207,X3208,X3209,X3210,X3211))|(empty(X3208)|~function(X3210)|~quasi_total(X3210,X3207,X3208)|~relation_of2(X3210,X3207,X3208)|~function(X3211)|~quasi_total(X3211,X3208,X3209)|~relation_of2(X3211,X3208,X3209)))&(quasi_total(function_of_composition(X3207,X3208,X3209,X3210,X3211),X3207,X3209)|(empty(X3208)|~function(X3210)|~quasi_total(X3210,X3207,X3208)|~relation_of2(X3210,X3207,X3208)|~function(X3211)|~quasi_total(X3211,X3208,X3209)|~relation_of2(X3211,X3208,X3209))))&(relation_of2_as_subset(function_of_composition(X3207,X3208,X3209,X3210,X3211),X3207,X3209)|(empty(X3208)|~function(X3210)|~quasi_total(X3210,X3207,X3208)|~relation_of2(X3210,X3207,X3208)|~function(X3211)|~quasi_total(X3211,X3208,X3209)|~relation_of2(X3211,X3208,X3209)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_905])])])).
% 282.28/198.90 cnf(i_0_1533, lemma, (in(esk254_5(X1,X2,X3,X4,X5),X5)|in(ordered_pair(X3,X4),esk252_2(X1,X2))|in(esk249_2(X1,X2),esk251_2(X1,X2))|empty(X1)|X3!=X5|~in(X4,X5)|~in(X3,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1534, lemma, (in(esk254_5(X1,X2,X3,X4,X5),X5)|in(ordered_pair(X3,X4),esk252_2(X1,X2))|in(esk248_2(X1,X2),esk250_2(X1,X2))|empty(X1)|X3!=X5|~in(X4,X5)|~in(X3,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 fof(i_0_1535, plain, ![X2962, X2963, X2964, X2965, X2966, X2968, X2969, X2971]:(((((((element(esk123_5(X2962,X2963,X2964,X2965,X2966),the_carrier(X2963))|~in(X2966,the_carrier(X2965))|X2965!=netstr_restr_to_element(X2962,X2963,X2964)|(~strict_net_str(X2965,X2962)|~net_str(X2965,X2962))|~element(X2964,the_carrier(X2963))|(empty_carrier(X2963)|~net_str(X2963,X2962))|(empty_carrier(X2962)|~one_sorted_str(X2962)))&(esk123_5(X2962,X2963,X2964,X2965,X2966)=X2966|~in(X2966,the_carrier(X2965))|X2965!=netstr_restr_to_element(X2962,X2963,X2964)|(~strict_net_str(X2965,X2962)|~net_str(X2965,X2962))|~element(X2964,the_carrier(X2963))|(empty_carrier(X2963)|~net_str(X2963,X2962))|(empty_carrier(X2962)|~one_sorted_str(X2962))))&(related(X2963,X2964,esk123_5(X2962,X2963,X2964,X2965,X2966))|~in(X2966,the_carrier(X2965))|X2965!=netstr_restr_to_element(X2962,X2963,X2964)|(~strict_net_str(X2965,X2962)|~net_str(X2965,X2962))|~element(X2964,the_carrier(X2963))|(empty_carrier(X2963)|~net_str(X2963,X2962))|(empty_carrier(X2962)|~one_sorted_str(X2962))))&(~element(X2969,the_carrier(X2963))|X2969!=X2968|~related(X2963,X2964,X2969)|in(X2968,the_carrier(X2965))|X2965!=netstr_restr_to_element(X2962,X2963,X2964)|(~strict_net_str(X2965,X2962)|~net_str(X2965,X2962))|~element(X2964,the_carrier(X2963))|(empty_carrier(X2963)|~net_str(X2963,X2962))|(empty_carrier(X2962)|~one_sorted_str(X2962))))&(the_InternalRel(X2965)=relation_restriction_as_relation_of(the_InternalRel(X2963),the_carrier(X2965))|X2965!=netstr_restr_to_element(X2962,X2963,X2964)|(~strict_net_str(X2965,X2962)|~net_str(X2965,X2962))|~element(X2964,the_carrier(X2963))|(empty_carrier(X2963)|~net_str(X2963,X2962))|(empty_carrier(X2962)|~one_sorted_str(X2962))))&(the_mapping(X2962,X2965)=partfun_dom_restriction(the_carrier(X2963),the_carrier(X2962),the_mapping(X2962,X2963),the_carrier(X2965))|X2965!=netstr_restr_to_element(X2962,X2963,X2964)|(~strict_net_str(X2965,X2962)|~net_str(X2965,X2962))|~element(X2964,the_carrier(X2963))|(empty_carrier(X2963)|~net_str(X2963,X2962))|(empty_carrier(X2962)|~one_sorted_str(X2962))))&((~in(esk124_4(X2962,X2963,X2964,X2965),the_carrier(X2965))|(~element(X2971,the_carrier(X2963))|X2971!=esk124_4(X2962,X2963,X2964,X2965)|~related(X2963,X2964,X2971))|the_InternalRel(X2965)!=relation_restriction_as_relation_of(the_InternalRel(X2963),the_carrier(X2965))|the_mapping(X2962,X2965)!=partfun_dom_restriction(the_carrier(X2963),the_carrier(X2962),the_mapping(X2962,X2963),the_carrier(X2965))|X2965=netstr_restr_to_element(X2962,X2963,X2964)|(~strict_net_str(X2965,X2962)|~net_str(X2965,X2962))|~element(X2964,the_carrier(X2963))|(empty_carrier(X2963)|~net_str(X2963,X2962))|(empty_carrier(X2962)|~one_sorted_str(X2962)))&(((element(esk125_4(X2962,X2963,X2964,X2965),the_carrier(X2963))|in(esk124_4(X2962,X2963,X2964,X2965),the_carrier(X2965))|the_InternalRel(X2965)!=relation_restriction_as_relation_of(the_InternalRel(X2963),the_carrier(X2965))|the_mapping(X2962,X2965)!=partfun_dom_restriction(the_carrier(X2963),the_carrier(X2962),the_mapping(X2962,X2963),the_carrier(X2965))|X2965=netstr_restr_to_element(X2962,X2963,X2964)|(~strict_net_str(X2965,X2962)|~net_str(X2965,X2962))|~element(X2964,the_carrier(X2963))|(empty_carrier(X2963)|~net_str(X2963,X2962))|(empty_carrier(X2962)|~one_sorted_str(X2962)))&(esk125_4(X2962,X2963,X2964,X2965)=esk124_4(X2962,X2963,X2964,X2965)|in(esk124_4(X2962,X2963,X2964,X2965),the_carrier(X2965))|the_InternalRel(X2965)!=relation_restriction_as_relation_of(the_InternalRel(X2963),the_carrier(X2965))|the_mapping(X2962,X2965)!=partfun_dom_restriction(the_carrier(X2963),the_carrier(X2962),the_mapping(X2962,X2963),the_carrier(X2965))|X2965=netstr_restr_to_element(X2962,X2963,X2964)|(~strict_net_str(X2965,X2962)|~net_str(X2965,X2962))|~element(X2964,the_carrier(X2963))|(empty_carrier(X2963)|~net_str(X2963,X2962))|(empty_carrier(X2962)|~one_sorted_str(X2962))))&(related(X2963,X2964,esk125_4(X2962,X2963,X2964,X2965))|in(esk124_4(X2962,X2963,X2964,X2965),the_carrier(X2965))|the_InternalRel(X2965)!=relation_restriction_as_relation_of(the_InternalRel(X2963),the_carrier(X2965))|the_mapping(X2962,X2965)!=partfun_dom_restriction(the_carrier(X2963),the_carrier(X2962),the_mapping(X2962,X2963),the_carrier(X2965))|X2965=netstr_restr_to_element(X2962,X2963,X2964)|(~strict_net_str(X2965,X2962)|~net_str(X2965,X2962))|~element(X2964,the_carrier(X2963))|(empty_carrier(X2963)|~net_str(X2963,X2962))|(empty_carrier(X2962)|~one_sorted_str(X2962)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_906])])])])])])).
% 282.28/198.90 cnf(i_0_1536, lemma, (in(esk254_5(X1,X2,X3,X4,X5),X5)|in(ordered_pair(X3,X4),esk252_2(X1,X2))|empty(X1)|X3!=X5|~in(X4,X5)|~in(X3,X1)|esk248_2(X1,X2)!=esk249_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1537, lemma, (in(esk254_5(X1,X2,X3,X4,X5),X5)|in(ordered_pair(X3,X4),esk252_2(X1,X2))|in(esk247_2(X1,X2),X1)|empty(X1)|X3!=X5|~in(X4,X5)|~in(X3,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1538, lemma, (in(esk254_5(X1,X2,X3,X4,X5),X5)|in(ordered_pair(X3,X4),esk252_2(X1,X2))|in(esk247_2(X1,X2),X1)|empty(X1)|X3!=X5|~in(X4,X5)|~in(X3,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1539, lemma, (in(esk254_5(X1,X2,X3,X4,X5),X5)|in(ordered_pair(X3,X4),esk252_2(X1,X2))|esk247_2(X1,X2)=esk251_2(X1,X2)|empty(X1)|X3!=X5|~in(X4,X5)|~in(X3,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1540, lemma, (in(esk254_5(X1,X2,X3,X4,X5),X5)|in(ordered_pair(X3,X4),esk252_2(X1,X2))|esk247_2(X1,X2)=esk250_2(X1,X2)|empty(X1)|X3!=X5|~in(X4,X5)|~in(X3,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1541, plain, (esk61_3(X1,X2,X3)=X2|X3=fiber(X1,X2)|~in(esk61_3(X1,X2,X3),X3)|~in(ordered_pair(esk61_3(X1,X2,X3),X2),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_907])).
% 282.28/198.90 cnf(i_0_1542, plain, (X3=relation_inverse_image(X1,X2)|~in(esk29_3(X1,X2,X3),X3)|~in(ordered_pair(esk29_3(X1,X2,X3),X4),X1)|~in(X4,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_908])).
% 282.28/198.90 cnf(i_0_1543, lemma, (relation_dom_as_subset(X2,X1,X3)=X2|~in(ordered_pair(esk510_3(X1,X2,X3),X4),X3)|~relation_of2_as_subset(X3,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_909])).
% 282.28/198.90 cnf(i_0_1544, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk468_4(X2,X3,X5,X6),X6)|in(ordered_pair(esk464_2(X2,X3),X7),X3)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|esk467_2(X2,X3)!=X6|~in(X5,X6)|~in(X7,esk466_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1545, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk468_4(X2,X3,X5,X6),X6)|in(ordered_pair(esk463_2(X2,X3),X7),X3)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|esk467_2(X2,X3)!=X6|~in(X5,X6)|~in(X7,esk465_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1546, lemma, (relstr_set_smaller(X1,X2,esk461_3(X1,X3,X2))|empty_carrier(X1)|~element(X4,the_carrier(X1))|~in(X4,X3)|~relstr_set_smaller(X1,set_union2(esk459_3(X1,X3,X2),singleton(esk458_3(X1,X3,X2))),X4)|~finite(X2)|~element(X5,the_carrier(X1))|~in(X5,X3)|~relstr_set_smaller(X1,empty_set,X5)|~transitive_relstr(X1)|~rel_str(X1)|~element(X3,powerset(the_carrier(X1)))|~finite(X2)|~element(X2,powerset(X3))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 cnf(i_0_1547, lemma, (element(esk461_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~element(X4,the_carrier(X1))|~in(X4,X2)|~relstr_set_smaller(X1,set_union2(esk459_3(X1,X2,X3),singleton(esk458_3(X1,X2,X3))),X4)|~finite(X3)|~element(X5,the_carrier(X1))|~in(X5,X2)|~relstr_set_smaller(X1,empty_set,X5)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 cnf(i_0_1548, lemma, (in(esk461_3(X1,X2,X3),X2)|empty_carrier(X1)|~element(X4,the_carrier(X1))|~in(X4,X2)|~relstr_set_smaller(X1,set_union2(esk459_3(X1,X2,X3),singleton(esk458_3(X1,X2,X3))),X4)|~finite(X3)|~element(X5,the_carrier(X1))|~in(X5,X2)|~relstr_set_smaller(X1,empty_set,X5)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 cnf(i_0_1549, lemma, (in(ordered_pair(X4,esk511_4(X2,X1,X3,X4)),X3)|relation_dom_as_subset(X1,X2,X3)!=X1|~in(X4,X1)|~relation_of2_as_subset(X3,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_909])).
% 282.28/198.90 cnf(i_0_1550, plain, (in(ordered_pair(X1,esk28_4(X2,X3,X4,X1)),X2)|~in(X1,X4)|X4!=relation_inverse_image(X2,X3)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_908])).
% 282.28/198.90 cnf(i_0_1551, plain, (in(X3,esk400_3(X2,X7,X6))|esk395_3(X2,X7,X6)=ordered_pair(esk398_3(X2,X7,X6),esk399_3(X2,X7,X6))|~in(X1,cartesian_product2(X2,X2))|X1!=X3|X3!=ordered_pair(X4,X5)|~in(ordered_pair(apply(X6,X4),apply(X6,X5)),X7)|~relation(X7)|~relation(X6)|~function(X6)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1552, plain, (in(X3,esk400_3(X2,X7,X6))|esk394_3(X2,X7,X6)=ordered_pair(esk396_3(X2,X7,X6),esk397_3(X2,X7,X6))|~in(X1,cartesian_product2(X2,X2))|X1!=X3|X3!=ordered_pair(X4,X5)|~in(ordered_pair(apply(X6,X4),apply(X6,X5)),X7)|~relation(X7)|~relation(X6)|~function(X6)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1553, plain, (in(esk127_3(X1,X2,X3),relation_field(X1))|in(ordered_pair(esk126_3(X1,X2,X3),esk127_3(X1,X2,X3)),X1)|relation_isomorphism(X1,X2,X3)|relation_dom(X3)!=relation_field(X1)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X3)|~function(X3)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_895])).
% 282.28/198.90 cnf(i_0_1554, plain, (in(esk126_3(X1,X2,X3),relation_field(X1))|in(ordered_pair(esk126_3(X1,X2,X3),esk127_3(X1,X2,X3)),X1)|relation_isomorphism(X1,X2,X3)|relation_dom(X3)!=relation_field(X1)|relation_rng(X3)!=relation_field(X2)|~one_to_one(X3)|~relation(X3)|~function(X3)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_895])).
% 282.28/198.90 fof(i_0_1555, plain, ![X4947, X4948, X4949, X4951, X4953, X4955, X4957]:((((X4947=X4948|~epred2_3(X4949,X4948,X4947))&(((ordinal(esk550_3(X4947,X4948,X4949))|~epred2_3(X4949,X4948,X4947))&(X4948=esk550_3(X4947,X4948,X4949)|~epred2_3(X4949,X4948,X4947)))&((in(esk551_4(X4947,X4948,X4949,X4951),X4951)|X4951=empty_set|~element(X4951,powerset(powerset(esk550_3(X4947,X4948,X4949))))|~in(esk550_3(X4947,X4948,X4949),omega)|~epred2_3(X4949,X4948,X4947))&(~in(X4953,X4951)|~subset(esk551_4(X4947,X4948,X4949,X4951),X4953)|X4953=esk551_4(X4947,X4948,X4949,X4951)|X4951=empty_set|~element(X4951,powerset(powerset(esk550_3(X4947,X4948,X4949))))|~in(esk550_3(X4947,X4948,X4949),omega)|~epred2_3(X4949,X4948,X4947)))))&(X4947=X4949|~epred2_3(X4949,X4948,X4947)))&(((ordinal(esk552_3(X4947,X4948,X4949))|~epred2_3(X4949,X4948,X4947))&(X4949=esk552_3(X4947,X4948,X4949)|~epred2_3(X4949,X4948,X4947)))&((in(esk553_4(X4947,X4948,X4949,X4955),X4955)|X4955=empty_set|~element(X4955,powerset(powerset(esk552_3(X4947,X4948,X4949))))|~in(esk552_3(X4947,X4948,X4949),omega)|~epred2_3(X4949,X4948,X4947))&(~in(X4957,X4955)|~subset(esk553_4(X4947,X4948,X4949,X4955),X4957)|X4957=esk553_4(X4947,X4948,X4949,X4955)|X4955=empty_set|~element(X4955,powerset(powerset(esk552_3(X4947,X4948,X4949))))|~in(esk552_3(X4947,X4948,X4949),omega)|~epred2_3(X4949,X4948,X4947))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_911])])])])])).
% 282.28/198.90 cnf(i_0_1556, plain, (in(esk12_3(X1,X2,X3),X1)|in(ordered_pair(esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)),X3)|X3=relation_rng_restriction(X1,X2)|~relation(X3)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_901])).
% 282.28/198.90 cnf(i_0_1557, plain, (in(esk4_3(X1,X2,X3),X2)|in(ordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),X3)|X3=relation_dom_restriction(X1,X2)|~relation(X3)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_902])).
% 282.28/198.90 cnf(i_0_1558, plain, (in(ordered_pair(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)),X1)|in(esk29_3(X1,X2,X3),X3)|X3=relation_inverse_image(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_908])).
% 282.28/198.90 cnf(i_0_1559, plain, (in(ordered_pair(esk27_3(X1,X2,X3),esk26_3(X1,X2,X3)),X1)|in(esk26_3(X1,X2,X3),X3)|X3=relation_image(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_900])).
% 282.28/198.90 cnf(i_0_1560, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk468_4(X2,X3,X5,X6),X6)|in(esk464_2(X2,X3),esk466_2(X2,X3))|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|esk467_2(X2,X3)!=X6|~in(X5,X6)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1561, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk468_4(X2,X3,X5,X6),X6)|in(esk463_2(X2,X3),esk465_2(X2,X3))|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|esk467_2(X2,X3)!=X6|~in(X5,X6)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1562, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk468_4(X2,X3,X5,X6),X6)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|esk467_2(X2,X3)!=X6|~in(X5,X6)|esk463_2(X2,X3)!=esk464_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1563, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk468_4(X2,X3,X5,X6),X6)|in(esk462_2(X2,X3),X2)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|esk467_2(X2,X3)!=X6|~in(X5,X6)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1564, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk468_4(X2,X3,X5,X6),X6)|esk462_2(X2,X3)=esk466_2(X2,X3)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|esk467_2(X2,X3)!=X6|~in(X5,X6)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1565, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk468_4(X2,X3,X5,X6),X6)|esk462_2(X2,X3)=esk465_2(X2,X3)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|esk467_2(X2,X3)!=X6|~in(X5,X6)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 fof(i_0_1566, plain, ![X2436, X2437, X2438, X2440, X2441, X2442]:(((element(esk6_3(X2436,X2437,X2438),the_carrier(X2437))|~is_eventually_in(X2436,X2437,X2438)|(empty_carrier(X2437)|~net_str(X2437,X2436))|(empty_carrier(X2436)|~one_sorted_str(X2436)))&(~element(X2440,the_carrier(X2437))|(~related(X2437,esk6_3(X2436,X2437,X2438),X2440)|in(apply_netmap(X2436,X2437,X2440),X2438))|~is_eventually_in(X2436,X2437,X2438)|(empty_carrier(X2437)|~net_str(X2437,X2436))|(empty_carrier(X2436)|~one_sorted_str(X2436))))&((element(esk7_4(X2436,X2437,X2441,X2442),the_carrier(X2437))|~element(X2442,the_carrier(X2437))|is_eventually_in(X2436,X2437,X2441)|(empty_carrier(X2437)|~net_str(X2437,X2436))|(empty_carrier(X2436)|~one_sorted_str(X2436)))&((related(X2437,X2442,esk7_4(X2436,X2437,X2441,X2442))|~element(X2442,the_carrier(X2437))|is_eventually_in(X2436,X2437,X2441)|(empty_carrier(X2437)|~net_str(X2437,X2436))|(empty_carrier(X2436)|~one_sorted_str(X2436)))&(~in(apply_netmap(X2436,X2437,esk7_4(X2436,X2437,X2441,X2442)),X2441)|~element(X2442,the_carrier(X2437))|is_eventually_in(X2436,X2437,X2441)|(empty_carrier(X2437)|~net_str(X2437,X2436))|(empty_carrier(X2436)|~one_sorted_str(X2436)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_912])])])])])])).
% 282.28/198.90 cnf(i_0_1567, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk467_2(X2,X3),X2)|in(ordered_pair(esk464_2(X2,X3),X5),X3)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~in(X5,esk466_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1568, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk467_2(X2,X3),X2)|in(ordered_pair(esk463_2(X2,X3),X5),X3)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~in(X5,esk465_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1569, plain, (X2=relation_inverse(X1)|~in(ordered_pair(esk121_2(X1,X2),esk122_2(X1,X2)),X2)|~in(ordered_pair(esk122_2(X1,X2),esk121_2(X1,X2)),X1)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_913])).
% 282.28/198.90 cnf(i_0_1570, plain, (X1=X2|~in(ordered_pair(esk73_2(X1,X2),esk74_2(X1,X2)),X1)|~in(ordered_pair(esk73_2(X1,X2),esk74_2(X1,X2)),X2)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_914])).
% 282.28/198.90 cnf(i_0_1571, lemma, (in(ordered_pair(X5,X1),X3)|in(ordered_pair(esk249_2(X2,X3),X6),X3)|empty(X2)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(ordered_pair(X4,X5),esk252_2(X2,X3))|~in(X6,esk251_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1572, lemma, (in(ordered_pair(X5,X1),X3)|in(ordered_pair(esk248_2(X2,X3),X6),X3)|empty(X2)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(ordered_pair(X4,X5),esk252_2(X2,X3))|~in(X6,esk250_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1573, plain, (in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|in(ordered_pair(esk292_2(X1,X2),X5),X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~in(X5,esk293_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1574, plain, (in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|in(ordered_pair(esk289_2(X1,X2),X5),X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~in(X5,esk290_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1575, plain, (in(esk401_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|esk395_3(X1,X2,X3)=ordered_pair(esk398_3(X1,X2,X3),esk399_3(X1,X2,X3))|~in(X4,esk400_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1576, plain, (in(esk401_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|esk394_3(X1,X2,X3)=ordered_pair(esk396_3(X1,X2,X3),esk397_3(X1,X2,X3))|~in(X4,esk400_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 fof(i_0_1577, plain, ![X3870, X3871, X3872, X3881, X3885, X3886, X3887, X3888]:((((((((in(esk308_4(X3870,X3871,X3872,X3881),powerset(X3872))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk300_3(X3870,X3871,X3872)=esk301_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(esk308_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|esk300_3(X3870,X3871,X3872)=esk301_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((esk309_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|esk300_3(X3870,X3871,X3872)=esk301_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(((element(esk310_4(X3870,X3871,X3872,X3881),the_carrier(X3870))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk300_3(X3870,X3871,X3872)=esk301_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(in(esk310_4(X3870,X3871,X3872,X3881),X3871)|~in(X3881,esk307_3(X3870,X3871,X3872))|esk300_3(X3870,X3871,X3872)=esk301_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&(relstr_set_smaller(X3870,esk309_4(X3870,X3871,X3872,X3881),esk310_4(X3870,X3871,X3872,X3881))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk300_3(X3870,X3871,X3872)=esk301_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))))&(~in(X3886,powerset(X3872))|X3886!=X3885|(X3887!=X3885|(~element(X3888,the_carrier(X3870))|~in(X3888,X3871)|~relstr_set_smaller(X3870,X3887,X3888)))|in(X3885,esk307_3(X3870,X3871,X3872))|esk300_3(X3870,X3871,X3872)=esk301_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&(((((in(esk308_4(X3870,X3871,X3872,X3881),powerset(X3872))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk303_3(X3870,X3871,X3872)=esk301_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(esk308_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|esk303_3(X3870,X3871,X3872)=esk301_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((esk309_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|esk303_3(X3870,X3871,X3872)=esk301_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(((element(esk310_4(X3870,X3871,X3872,X3881),the_carrier(X3870))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk303_3(X3870,X3871,X3872)=esk301_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(in(esk310_4(X3870,X3871,X3872,X3881),X3871)|~in(X3881,esk307_3(X3870,X3871,X3872))|esk303_3(X3870,X3871,X3872)=esk301_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&(relstr_set_smaller(X3870,esk309_4(X3870,X3871,X3872,X3881),esk310_4(X3870,X3871,X3872,X3881))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk303_3(X3870,X3871,X3872)=esk301_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))))&(~in(X3886,powerset(X3872))|X3886!=X3885|(X3887!=X3885|(~element(X3888,the_carrier(X3870))|~in(X3888,X3871)|~relstr_set_smaller(X3870,X3887,X3888)))|in(X3885,esk307_3(X3870,X3871,X3872))|esk303_3(X3870,X3871,X3872)=esk301_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((((((in(esk308_4(X3870,X3871,X3872,X3881),powerset(X3872))|~in(X3881,esk307_3(X3870,X3871,X3872))|element(esk304_3(X3870,X3871,X3872),the_carrier(X3870))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(esk308_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|element(esk304_3(X3870,X3871,X3872),the_carrier(X3870))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((esk309_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|element(esk304_3(X3870,X3871,X3872),the_carrier(X3870))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(((element(esk310_4(X3870,X3871,X3872,X3881),the_carrier(X3870))|~in(X3881,esk307_3(X3870,X3871,X3872))|element(esk304_3(X3870,X3871,X3872),the_carrier(X3870))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(in(esk310_4(X3870,X3871,X3872,X3881),X3871)|~in(X3881,esk307_3(X3870,X3871,X3872))|element(esk304_3(X3870,X3871,X3872),the_carrier(X3870))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&(relstr_set_smaller(X3870,esk309_4(X3870,X3871,X3872,X3881),esk310_4(X3870,X3871,X3872,X3881))|~in(X3881,esk307_3(X3870,X3871,X3872))|element(esk304_3(X3870,X3871,X3872),the_carrier(X3870))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))))&(~in(X3886,powerset(X3872))|X3886!=X3885|(X3887!=X3885|(~element(X3888,the_carrier(X3870))|~in(X3888,X3871)|~relstr_set_smaller(X3870,X3887,X3888)))|in(X3885,esk307_3(X3870,X3871,X3872))|element(esk304_3(X3870,X3871,X3872),the_carrier(X3870))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((((in(esk308_4(X3870,X3871,X3872,X3881),powerset(X3872))|~in(X3881,esk307_3(X3870,X3871,X3872))|in(esk304_3(X3870,X3871,X3872),X3871)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(esk308_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|in(esk304_3(X3870,X3871,X3872),X3871)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((esk309_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|in(esk304_3(X3870,X3871,X3872),X3871)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(((element(esk310_4(X3870,X3871,X3872,X3881),the_carrier(X3870))|~in(X3881,esk307_3(X3870,X3871,X3872))|in(esk304_3(X3870,X3871,X3872),X3871)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(in(esk310_4(X3870,X3871,X3872,X3881),X3871)|~in(X3881,esk307_3(X3870,X3871,X3872))|in(esk304_3(X3870,X3871,X3872),X3871)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&(relstr_set_smaller(X3870,esk309_4(X3870,X3871,X3872,X3881),esk310_4(X3870,X3871,X3872,X3881))|~in(X3881,esk307_3(X3870,X3871,X3872))|in(esk304_3(X3870,X3871,X3872),X3871)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))))&(~in(X3886,powerset(X3872))|X3886!=X3885|(X3887!=X3885|(~element(X3888,the_carrier(X3870))|~in(X3888,X3871)|~relstr_set_smaller(X3870,X3887,X3888)))|in(X3885,esk307_3(X3870,X3871,X3872))|in(esk304_3(X3870,X3871,X3872),X3871)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))))&((((in(esk308_4(X3870,X3871,X3872,X3881),powerset(X3872))|~in(X3881,esk307_3(X3870,X3871,X3872))|relstr_set_smaller(X3870,esk303_3(X3870,X3871,X3872),esk304_3(X3870,X3871,X3872))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(esk308_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|relstr_set_smaller(X3870,esk303_3(X3870,X3871,X3872),esk304_3(X3870,X3871,X3872))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((esk309_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|relstr_set_smaller(X3870,esk303_3(X3870,X3871,X3872),esk304_3(X3870,X3871,X3872))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(((element(esk310_4(X3870,X3871,X3872,X3881),the_carrier(X3870))|~in(X3881,esk307_3(X3870,X3871,X3872))|relstr_set_smaller(X3870,esk303_3(X3870,X3871,X3872),esk304_3(X3870,X3871,X3872))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(in(esk310_4(X3870,X3871,X3872,X3881),X3871)|~in(X3881,esk307_3(X3870,X3871,X3872))|relstr_set_smaller(X3870,esk303_3(X3870,X3871,X3872),esk304_3(X3870,X3871,X3872))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&(relstr_set_smaller(X3870,esk309_4(X3870,X3871,X3872,X3881),esk310_4(X3870,X3871,X3872,X3881))|~in(X3881,esk307_3(X3870,X3871,X3872))|relstr_set_smaller(X3870,esk303_3(X3870,X3871,X3872),esk304_3(X3870,X3871,X3872))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))))&(~in(X3886,powerset(X3872))|X3886!=X3885|(X3887!=X3885|(~element(X3888,the_carrier(X3870))|~in(X3888,X3871)|~relstr_set_smaller(X3870,X3887,X3888)))|in(X3885,esk307_3(X3870,X3871,X3872))|relstr_set_smaller(X3870,esk303_3(X3870,X3871,X3872),esk304_3(X3870,X3871,X3872))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))))))&((((in(esk308_4(X3870,X3871,X3872,X3881),powerset(X3872))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk300_3(X3870,X3871,X3872)=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(esk308_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|esk300_3(X3870,X3871,X3872)=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((esk309_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|esk300_3(X3870,X3871,X3872)=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(((element(esk310_4(X3870,X3871,X3872,X3881),the_carrier(X3870))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk300_3(X3870,X3871,X3872)=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(in(esk310_4(X3870,X3871,X3872,X3881),X3871)|~in(X3881,esk307_3(X3870,X3871,X3872))|esk300_3(X3870,X3871,X3872)=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&(relstr_set_smaller(X3870,esk309_4(X3870,X3871,X3872,X3881),esk310_4(X3870,X3871,X3872,X3881))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk300_3(X3870,X3871,X3872)=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))))&(~in(X3886,powerset(X3872))|X3886!=X3885|(X3887!=X3885|(~element(X3888,the_carrier(X3870))|~in(X3888,X3871)|~relstr_set_smaller(X3870,X3887,X3888)))|in(X3885,esk307_3(X3870,X3871,X3872))|esk300_3(X3870,X3871,X3872)=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))))&(((((in(esk308_4(X3870,X3871,X3872,X3881),powerset(X3872))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk305_3(X3870,X3871,X3872)=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(esk308_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|esk305_3(X3870,X3871,X3872)=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((esk309_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|esk305_3(X3870,X3871,X3872)=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(((element(esk310_4(X3870,X3871,X3872,X3881),the_carrier(X3870))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk305_3(X3870,X3871,X3872)=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(in(esk310_4(X3870,X3871,X3872,X3881),X3871)|~in(X3881,esk307_3(X3870,X3871,X3872))|esk305_3(X3870,X3871,X3872)=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&(relstr_set_smaller(X3870,esk309_4(X3870,X3871,X3872,X3881),esk310_4(X3870,X3871,X3872,X3881))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk305_3(X3870,X3871,X3872)=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))))&(~in(X3886,powerset(X3872))|X3886!=X3885|(X3887!=X3885|(~element(X3888,the_carrier(X3870))|~in(X3888,X3871)|~relstr_set_smaller(X3870,X3887,X3888)))|in(X3885,esk307_3(X3870,X3871,X3872))|esk305_3(X3870,X3871,X3872)=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((((((in(esk308_4(X3870,X3871,X3872,X3881),powerset(X3872))|~in(X3881,esk307_3(X3870,X3871,X3872))|element(esk306_3(X3870,X3871,X3872),the_carrier(X3870))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(esk308_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|element(esk306_3(X3870,X3871,X3872),the_carrier(X3870))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((esk309_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|element(esk306_3(X3870,X3871,X3872),the_carrier(X3870))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(((element(esk310_4(X3870,X3871,X3872,X3881),the_carrier(X3870))|~in(X3881,esk307_3(X3870,X3871,X3872))|element(esk306_3(X3870,X3871,X3872),the_carrier(X3870))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(in(esk310_4(X3870,X3871,X3872,X3881),X3871)|~in(X3881,esk307_3(X3870,X3871,X3872))|element(esk306_3(X3870,X3871,X3872),the_carrier(X3870))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&(relstr_set_smaller(X3870,esk309_4(X3870,X3871,X3872,X3881),esk310_4(X3870,X3871,X3872,X3881))|~in(X3881,esk307_3(X3870,X3871,X3872))|element(esk306_3(X3870,X3871,X3872),the_carrier(X3870))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))))&(~in(X3886,powerset(X3872))|X3886!=X3885|(X3887!=X3885|(~element(X3888,the_carrier(X3870))|~in(X3888,X3871)|~relstr_set_smaller(X3870,X3887,X3888)))|in(X3885,esk307_3(X3870,X3871,X3872))|element(esk306_3(X3870,X3871,X3872),the_carrier(X3870))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((((in(esk308_4(X3870,X3871,X3872,X3881),powerset(X3872))|~in(X3881,esk307_3(X3870,X3871,X3872))|in(esk306_3(X3870,X3871,X3872),X3871)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(esk308_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|in(esk306_3(X3870,X3871,X3872),X3871)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((esk309_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|in(esk306_3(X3870,X3871,X3872),X3871)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(((element(esk310_4(X3870,X3871,X3872,X3881),the_carrier(X3870))|~in(X3881,esk307_3(X3870,X3871,X3872))|in(esk306_3(X3870,X3871,X3872),X3871)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(in(esk310_4(X3870,X3871,X3872,X3881),X3871)|~in(X3881,esk307_3(X3870,X3871,X3872))|in(esk306_3(X3870,X3871,X3872),X3871)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&(relstr_set_smaller(X3870,esk309_4(X3870,X3871,X3872,X3881),esk310_4(X3870,X3871,X3872,X3881))|~in(X3881,esk307_3(X3870,X3871,X3872))|in(esk306_3(X3870,X3871,X3872),X3871)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))))&(~in(X3886,powerset(X3872))|X3886!=X3885|(X3887!=X3885|(~element(X3888,the_carrier(X3870))|~in(X3888,X3871)|~relstr_set_smaller(X3870,X3887,X3888)))|in(X3885,esk307_3(X3870,X3871,X3872))|in(esk306_3(X3870,X3871,X3872),X3871)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))))&((((in(esk308_4(X3870,X3871,X3872,X3881),powerset(X3872))|~in(X3881,esk307_3(X3870,X3871,X3872))|relstr_set_smaller(X3870,esk305_3(X3870,X3871,X3872),esk306_3(X3870,X3871,X3872))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(esk308_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|relstr_set_smaller(X3870,esk305_3(X3870,X3871,X3872),esk306_3(X3870,X3871,X3872))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((esk309_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|relstr_set_smaller(X3870,esk305_3(X3870,X3871,X3872),esk306_3(X3870,X3871,X3872))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(((element(esk310_4(X3870,X3871,X3872,X3881),the_carrier(X3870))|~in(X3881,esk307_3(X3870,X3871,X3872))|relstr_set_smaller(X3870,esk305_3(X3870,X3871,X3872),esk306_3(X3870,X3871,X3872))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(in(esk310_4(X3870,X3871,X3872,X3881),X3871)|~in(X3881,esk307_3(X3870,X3871,X3872))|relstr_set_smaller(X3870,esk305_3(X3870,X3871,X3872),esk306_3(X3870,X3871,X3872))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&(relstr_set_smaller(X3870,esk309_4(X3870,X3871,X3872,X3881),esk310_4(X3870,X3871,X3872,X3881))|~in(X3881,esk307_3(X3870,X3871,X3872))|relstr_set_smaller(X3870,esk305_3(X3870,X3871,X3872),esk306_3(X3870,X3871,X3872))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))))&(~in(X3886,powerset(X3872))|X3886!=X3885|(X3887!=X3885|(~element(X3888,the_carrier(X3870))|~in(X3888,X3871)|~relstr_set_smaller(X3870,X3887,X3888)))|in(X3885,esk307_3(X3870,X3871,X3872))|relstr_set_smaller(X3870,esk305_3(X3870,X3871,X3872),esk306_3(X3870,X3871,X3872))|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))))))&((((in(esk308_4(X3870,X3871,X3872,X3881),powerset(X3872))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk301_3(X3870,X3871,X3872)!=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(esk308_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|esk301_3(X3870,X3871,X3872)!=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&((esk309_4(X3870,X3871,X3872,X3881)=X3881|~in(X3881,esk307_3(X3870,X3871,X3872))|esk301_3(X3870,X3871,X3872)!=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(((element(esk310_4(X3870,X3871,X3872,X3881),the_carrier(X3870))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk301_3(X3870,X3871,X3872)!=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871))))&(in(esk310_4(X3870,X3871,X3872,X3881),X3871)|~in(X3881,esk307_3(X3870,X3871,X3872))|esk301_3(X3870,X3871,X3872)!=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))&(relstr_set_smaller(X3870,esk309_4(X3870,X3871,X3872,X3881),esk310_4(X3870,X3871,X3872,X3881))|~in(X3881,esk307_3(X3870,X3871,X3872))|esk301_3(X3870,X3871,X3872)!=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))))&(~in(X3886,powerset(X3872))|X3886!=X3885|(X3887!=X3885|(~element(X3888,the_carrier(X3870))|~in(X3888,X3871)|~relstr_set_smaller(X3870,X3887,X3888)))|in(X3885,esk307_3(X3870,X3871,X3872))|esk301_3(X3870,X3871,X3872)!=esk302_3(X3870,X3871,X3872)|(empty_carrier(X3870)|~transitive_relstr(X3870)|~rel_str(X3870)|~element(X3871,powerset(the_carrier(X3870)))|~finite(X3872)|~element(X3872,powerset(X3871)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_915])])])])])])).
% 282.28/198.90 fof(i_0_1578, plain, ![X3706, X3707, X3708, X3709, X3710]:(empty(X3707)|~function(X3709)|~quasi_total(X3709,X3706,X3707)|~relation_of2(X3709,X3706,X3707)|~function(X3710)|~quasi_total(X3710,X3707,X3708)|~relation_of2(X3710,X3707,X3708)|function_of_composition(X3706,X3707,X3708,X3709,X3710)=relation_composition(X3709,X3710)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_916])])).
% 282.28/198.90 cnf(i_0_1579, plain, (in(ordered_pair(esk61_3(X1,X2,X3),X2),X1)|in(esk61_3(X1,X2,X3),X3)|X3=fiber(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_907])).
% 282.28/198.90 cnf(i_0_1580, lemma, (in(ordered_pair(esk501_3(X1,X2,X3),X1),X3)|~in(X1,relation_image(X3,X2))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_917])).
% 282.28/198.90 cnf(i_0_1581, plain, (in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|ordered_pair(esk291_2(X1,X2),esk292_2(X1,X2))=esk287_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1582, plain, (in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|ordered_pair(esk288_2(X1,X2),esk289_2(X1,X2))=esk286_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1583, plain, (in(ordered_pair(esk113_3(X3,X2,X1),X1),X3)|~in(X1,X2)|X2!=relation_rng(X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_918])).
% 282.28/198.90 cnf(i_0_1584, plain, (esk401_4(X1,X2,X3,X4)=X4|esk395_3(X1,X2,X3)=ordered_pair(esk398_3(X1,X2,X3),esk399_3(X1,X2,X3))|~in(X4,esk400_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1585, plain, (esk401_4(X1,X2,X3,X4)=X4|esk394_3(X1,X2,X3)=ordered_pair(esk396_3(X1,X2,X3),esk397_3(X1,X2,X3))|~in(X4,esk400_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1586, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk467_2(X2,X3),X2)|in(esk464_2(X2,X3),esk466_2(X2,X3))|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1587, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk467_2(X2,X3),X2)|in(esk463_2(X2,X3),esk465_2(X2,X3))|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1588, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk467_2(X2,X3),X2)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|esk463_2(X2,X3)!=esk464_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1589, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk467_2(X2,X3),X2)|in(esk462_2(X2,X3),X2)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1590, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk467_2(X2,X3),X2)|esk462_2(X2,X3)=esk466_2(X2,X3)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1591, lemma, (in(ordered_pair(apply(esk469_2(X2,X3),X4),X1),X3)|in(esk467_2(X2,X3),X2)|esk462_2(X2,X3)=esk465_2(X2,X3)|empty(X2)|~in(X1,esk470_3(X2,X3,X4))|~in(X4,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1592, plain, (in(X3,esk400_3(X2,X7,X6))|~in(X1,cartesian_product2(X2,X2))|X1!=X3|X3!=ordered_pair(X4,X5)|~in(ordered_pair(apply(X6,X4),apply(X6,X5)),X7)|esk394_3(X2,X7,X6)!=esk395_3(X2,X7,X6)|~relation(X7)|~relation(X6)|~function(X6)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 fof(i_0_1593, lemma, ![X4112, X4113, X4114, X4116, X4119, X4120, X4121]:(((in(X4116,powerset(X4114))|~in(X4116,esk427_3(X4112,X4113,X4114))|(empty_carrier(X4112)|~transitive_relstr(X4112)|~rel_str(X4112)|~element(X4113,powerset(the_carrier(X4112)))|~finite(X4114)|~element(X4114,powerset(X4113))))&((esk428_4(X4112,X4113,X4114,X4116)=X4116|~in(X4116,esk427_3(X4112,X4113,X4114))|(empty_carrier(X4112)|~transitive_relstr(X4112)|~rel_str(X4112)|~element(X4113,powerset(the_carrier(X4112)))|~finite(X4114)|~element(X4114,powerset(X4113))))&(((element(esk429_4(X4112,X4113,X4114,X4116),the_carrier(X4112))|~in(X4116,esk427_3(X4112,X4113,X4114))|(empty_carrier(X4112)|~transitive_relstr(X4112)|~rel_str(X4112)|~element(X4113,powerset(the_carrier(X4112)))|~finite(X4114)|~element(X4114,powerset(X4113))))&(in(esk429_4(X4112,X4113,X4114,X4116),X4113)|~in(X4116,esk427_3(X4112,X4113,X4114))|(empty_carrier(X4112)|~transitive_relstr(X4112)|~rel_str(X4112)|~element(X4113,powerset(the_carrier(X4112)))|~finite(X4114)|~element(X4114,powerset(X4113)))))&(relstr_set_smaller(X4112,esk428_4(X4112,X4113,X4114,X4116),esk429_4(X4112,X4113,X4114,X4116))|~in(X4116,esk427_3(X4112,X4113,X4114))|(empty_carrier(X4112)|~transitive_relstr(X4112)|~rel_str(X4112)|~element(X4113,powerset(the_carrier(X4112)))|~finite(X4114)|~element(X4114,powerset(X4113)))))))&(~in(X4119,powerset(X4114))|(X4120!=X4119|(~element(X4121,the_carrier(X4112))|~in(X4121,X4113)|~relstr_set_smaller(X4112,X4120,X4121)))|in(X4119,esk427_3(X4112,X4113,X4114))|(empty_carrier(X4112)|~transitive_relstr(X4112)|~rel_str(X4112)|~element(X4113,powerset(the_carrier(X4112)))|~finite(X4114)|~element(X4114,powerset(X4113))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_919])])])])])])).
% 282.28/198.90 fof(i_0_1594, plain, ![X2573, X2574, X2575, X2576, X2577, X2578, X2579, X2580, X2581, X2582]:(((~in(X2577,X2576)|(X2577=X2573|X2577=X2574|X2577=X2575)|X2576!=unordered_triple(X2573,X2574,X2575))&(((X2578!=X2573|in(X2578,X2576)|X2576!=unordered_triple(X2573,X2574,X2575))&(X2578!=X2574|in(X2578,X2576)|X2576!=unordered_triple(X2573,X2574,X2575)))&(X2578!=X2575|in(X2578,X2576)|X2576!=unordered_triple(X2573,X2574,X2575))))&((((esk37_4(X2579,X2580,X2581,X2582)!=X2579|~in(esk37_4(X2579,X2580,X2581,X2582),X2582)|X2582=unordered_triple(X2579,X2580,X2581))&(esk37_4(X2579,X2580,X2581,X2582)!=X2580|~in(esk37_4(X2579,X2580,X2581,X2582),X2582)|X2582=unordered_triple(X2579,X2580,X2581)))&(esk37_4(X2579,X2580,X2581,X2582)!=X2581|~in(esk37_4(X2579,X2580,X2581,X2582),X2582)|X2582=unordered_triple(X2579,X2580,X2581)))&(in(esk37_4(X2579,X2580,X2581,X2582),X2582)|(esk37_4(X2579,X2580,X2581,X2582)=X2579|esk37_4(X2579,X2580,X2581,X2582)=X2580|esk37_4(X2579,X2580,X2581,X2582)=X2581)|X2582=unordered_triple(X2579,X2580,X2581)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_enumset1])])])])])])).
% 282.28/198.90 cnf(i_0_1595, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk468_4(X1,X2,X4,X5),X5)|in(ordered_pair(esk464_2(X1,X2),X6),X2)|empty(X1)|~in(X3,X1)|esk467_2(X1,X2)!=X5|~in(X4,X5)|~in(X6,esk466_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1596, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk468_4(X1,X2,X4,X5),X5)|in(ordered_pair(esk463_2(X1,X2),X6),X2)|empty(X1)|~in(X3,X1)|esk467_2(X1,X2)!=X5|~in(X4,X5)|~in(X6,esk465_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1597, lemma, (in(X1,esk253_4(X2,X3,X4,X1))|in(ordered_pair(esk249_2(X2,X3),X5),X3)|empty(X2)|~in(ordered_pair(X4,X1),esk252_2(X2,X3))|~in(X5,esk251_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1598, lemma, (in(X1,esk253_4(X2,X3,X4,X1))|in(ordered_pair(esk248_2(X2,X3),X5),X3)|empty(X2)|~in(ordered_pair(X4,X1),esk252_2(X2,X3))|~in(X5,esk250_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1599, plain, (in(X3,esk400_3(X2,X7,X6))|esk393_3(X2,X7,X6)=esk395_3(X2,X7,X6)|~in(X1,cartesian_product2(X2,X2))|X1!=X3|X3!=ordered_pair(X4,X5)|~in(ordered_pair(apply(X6,X4),apply(X6,X5)),X7)|~relation(X7)|~relation(X6)|~function(X6)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1600, plain, (in(X3,esk400_3(X2,X7,X6))|esk393_3(X2,X7,X6)=esk394_3(X2,X7,X6)|~in(X1,cartesian_product2(X2,X2))|X1!=X3|X3!=ordered_pair(X4,X5)|~in(ordered_pair(apply(X6,X4),apply(X6,X5)),X7)|~relation(X7)|~relation(X6)|~function(X6)), inference(split_conjunct,[status(thm)],[i_0_885])).
% 282.28/198.90 cnf(i_0_1601, lemma, (in(ordered_pair(X5,X1),X3)|in(esk249_2(X2,X3),esk251_2(X2,X3))|empty(X2)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(ordered_pair(X4,X5),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1602, lemma, (in(ordered_pair(X5,X1),X3)|in(esk248_2(X2,X3),esk250_2(X2,X3))|empty(X2)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(ordered_pair(X4,X5),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1603, plain, (esk391_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|ordered_pair(esk386_2(X2,X3),esk387_2(X2,X3))=esk383_2(X2,X3)|~element(X1,powerset(the_carrier(X2)))|X1!=esk390_4(X2,X3,X4,X5)|~in(X5,esk388_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1604, plain, (esk391_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|ordered_pair(esk384_2(X2,X3),esk385_2(X2,X3))=esk382_2(X2,X3)|~element(X1,powerset(the_carrier(X2)))|X1!=esk390_4(X2,X3,X4,X5)|~in(X5,esk388_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1605, plain, (esk373_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|ordered_pair(esk368_2(X2,X3),esk369_2(X2,X3))=esk365_2(X2,X3)|~element(X1,powerset(the_carrier(X2)))|X1!=esk372_4(X2,X3,X4,X5)|~in(X5,esk370_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1606, plain, (esk373_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|ordered_pair(esk366_2(X2,X3),esk367_2(X2,X3))=esk364_2(X2,X3)|~element(X1,powerset(the_carrier(X2)))|X1!=esk372_4(X2,X3,X4,X5)|~in(X5,esk370_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1607, lemma, (in(ordered_pair(X4,X1),esk262_2(X2,X3))|esk261_2(X2,X3)=subset_complement(the_carrier(X2),X5)|X1!=subset_complement(the_carrier(X2),esk263_4(X2,X3,X4,X1))|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~element(X5,powerset(the_carrier(X2)))|X5!=esk259_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1608, lemma, (in(ordered_pair(X4,X1),esk262_2(X2,X3))|esk260_2(X2,X3)=subset_complement(the_carrier(X2),X5)|X1!=subset_complement(the_carrier(X2),esk263_4(X2,X3,X4,X1))|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~element(X5,powerset(the_carrier(X2)))|X5!=esk259_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1609, lemma, (in(ordered_pair(X5,X1),X3)|empty(X2)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(ordered_pair(X4,X5),esk252_2(X2,X3))|esk248_2(X2,X3)!=esk249_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 fof(i_0_1610, plain, ![X2467, X2468, X2469, X2470, X2472, X2474]:((((element(esk13_4(X2467,X2468,X2469,X2470),the_carrier(X2468))|~element(X2470,the_carrier(X2468))|~is_often_in(X2467,X2468,X2469)|(empty_carrier(X2468)|~net_str(X2468,X2467))|(empty_carrier(X2467)|~one_sorted_str(X2467)))&(related(X2468,X2470,esk13_4(X2467,X2468,X2469,X2470))|~element(X2470,the_carrier(X2468))|~is_often_in(X2467,X2468,X2469)|(empty_carrier(X2468)|~net_str(X2468,X2467))|(empty_carrier(X2467)|~one_sorted_str(X2467))))&(in(apply_netmap(X2467,X2468,esk13_4(X2467,X2468,X2469,X2470)),X2469)|~element(X2470,the_carrier(X2468))|~is_often_in(X2467,X2468,X2469)|(empty_carrier(X2468)|~net_str(X2468,X2467))|(empty_carrier(X2467)|~one_sorted_str(X2467))))&((element(esk14_3(X2467,X2468,X2472),the_carrier(X2468))|is_often_in(X2467,X2468,X2472)|(empty_carrier(X2468)|~net_str(X2468,X2467))|(empty_carrier(X2467)|~one_sorted_str(X2467)))&(~element(X2474,the_carrier(X2468))|~related(X2468,esk14_3(X2467,X2468,X2472),X2474)|~in(apply_netmap(X2467,X2468,X2474),X2472)|is_often_in(X2467,X2468,X2472)|(empty_carrier(X2468)|~net_str(X2468,X2467))|(empty_carrier(X2467)|~one_sorted_str(X2467))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_921])])])])])])).
% 282.28/198.90 cnf(i_0_1611, lemma, (in(ordered_pair(X5,X1),X3)|in(esk247_2(X2,X3),X2)|empty(X2)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(ordered_pair(X4,X5),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1612, lemma, (in(ordered_pair(X5,X1),X3)|in(esk247_2(X2,X3),X2)|empty(X2)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(ordered_pair(X4,X5),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1613, plain, (in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(ordered_pair(esk292_2(X1,X2),X5),X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~in(X5,esk293_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1614, plain, (in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(ordered_pair(esk289_2(X1,X2),X5),X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~in(X5,esk290_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1615, lemma, (in(ordered_pair(X5,X1),X3)|esk247_2(X2,X3)=esk251_2(X2,X3)|empty(X2)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(ordered_pair(X4,X5),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1616, lemma, (in(ordered_pair(X5,X1),X3)|esk247_2(X2,X3)=esk250_2(X2,X3)|empty(X2)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(ordered_pair(X4,X5),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1617, lemma, (in(ordered_pair(X4,X1),esk262_2(X2,X3))|in(esk259_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|X1!=subset_complement(the_carrier(X2),esk263_4(X2,X3,X4,X1))|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1618, lemma, (in(ordered_pair(X4,X1),esk262_2(X2,X3))|in(esk259_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|X1!=subset_complement(the_carrier(X2),esk263_4(X2,X3,X4,X1))|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1619, plain, (in(esk296_4(X1,X2,X3,X4),X1)|in(ordered_pair(esk292_2(X1,X2),X5),X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~in(X5,esk293_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1620, plain, (in(esk296_4(X1,X2,X3,X4),X1)|in(ordered_pair(esk289_2(X1,X2),X5),X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~in(X5,esk290_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1621, plain, (esk296_4(X1,X2,X3,X4)=esk298_4(X1,X2,X3,X4)|in(ordered_pair(esk292_2(X1,X2),X5),X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~in(X5,esk293_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1622, plain, (esk296_4(X1,X2,X3,X4)=esk298_4(X1,X2,X3,X4)|in(ordered_pair(esk289_2(X1,X2),X5),X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~in(X5,esk290_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1623, lemma, (in(ordered_pair(X4,X1),esk267_2(X2,X3))|esk266_2(X2,X3)=subset_complement(the_carrier(X2),X5)|X1!=subset_complement(the_carrier(X2),esk268_4(X2,X3,X4,X1))|~in(X4,X3)|~element(X5,powerset(the_carrier(X2)))|X5!=esk264_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1624, lemma, (in(ordered_pair(X4,X1),esk267_2(X2,X3))|esk265_2(X2,X3)=subset_complement(the_carrier(X2),X5)|X1!=subset_complement(the_carrier(X2),esk268_4(X2,X3,X4,X1))|~in(X4,X3)|~element(X5,powerset(the_carrier(X2)))|X5!=esk264_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1625, plain, (in(ordered_pair(X1,X3),X2)|~in(X1,relation_field(X2))|~in(X3,relation_field(X2))|~in(ordered_pair(apply(X4,X1),apply(X4,X3)),X5)|~relation_isomorphism(X2,X5,X4)|~relation(X4)|~function(X4)|~relation(X5)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_895])).
% 282.28/198.90 cnf(i_0_1626, lemma, (in(ordered_pair(X4,X1),esk262_2(X2,X3))|X1!=subset_complement(the_carrier(X2),esk263_4(X2,X3,X4,X1))|~in(X4,complements_of_subsets(the_carrier(X2),X3))|esk260_2(X2,X3)!=esk261_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1627, lemma, (in(ordered_pair(X1,X3),esk275_3(X2,X5,X4))|~in(X1,X2)|~in(X3,X2)|~in(ordered_pair(apply(X4,X1),apply(X4,X3)),X5)|~relation(X5)|~relation(X4)|~function(X4)), inference(split_conjunct,[status(thm)],[i_0_923])).
% 282.28/198.90 cnf(i_0_1628, lemma, (in(X1,esk451_3(X2,X6,X5))|~in(X1,cartesian_product2(X2,X2))|X1!=ordered_pair(X3,X4)|~in(ordered_pair(apply(X5,X3),apply(X5,X4)),X6)|~relation(X6)|~relation(X5)|~function(X5)), inference(split_conjunct,[status(thm)],[i_0_890])).
% 282.28/198.90 cnf(i_0_1629, plain, (in(esk371_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|ordered_pair(esk368_2(X1,X2),esk369_2(X1,X2))=esk365_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1630, plain, (in(esk371_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|ordered_pair(esk366_2(X1,X2),esk367_2(X1,X2))=esk364_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1631, lemma, (X1=esk470_3(X2,X3,X1)|in(esk468_4(X2,X3,X4,X5),X5)|in(ordered_pair(esk464_2(X2,X3),X6),X3)|empty(X2)|~in(X1,X2)|esk467_2(X2,X3)!=X5|~in(X4,X5)|~in(X6,esk466_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1632, lemma, (X1=esk470_3(X2,X3,X1)|in(esk468_4(X2,X3,X4,X5),X5)|in(ordered_pair(esk463_2(X2,X3),X6),X3)|empty(X2)|~in(X1,X2)|esk467_2(X2,X3)!=X5|~in(X4,X5)|~in(X6,esk465_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1633, lemma, (in(ordered_pair(X4,X1),esk267_2(X2,X3))|X1!=subset_complement(the_carrier(X2),esk268_4(X2,X3,X4,X1))|~in(X4,X3)|esk265_2(X2,X3)!=esk266_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1634, lemma, (in(ordered_pair(X4,X1),esk267_2(X2,X3))|in(esk264_2(X2,X3),X3)|X1!=subset_complement(the_carrier(X2),esk268_4(X2,X3,X4,X1))|~in(X4,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1635, lemma, (in(ordered_pair(X4,X1),esk267_2(X2,X3))|in(esk264_2(X2,X3),X3)|X1!=subset_complement(the_carrier(X2),esk268_4(X2,X3,X4,X1))|~in(X4,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 fof(i_0_1636, plain, ![X3971, X3972, X3976, X3977, X3979, X3981, X3982, X3983]:(((((((in(esk361_3(X3971,X3972,X3979),complements_of_subsets(the_carrier(X3971),X3972))|~in(X3979,esk360_2(X3971,X3972))|in(esk357_2(X3971,X3972),complements_of_subsets(the_carrier(X3971),X3972))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&(~element(X3981,powerset(the_carrier(X3971)))|(X3981!=esk361_3(X3971,X3972,X3979)|X3979=subset_complement(the_carrier(X3971),X3981))|~in(X3979,esk360_2(X3971,X3972))|in(esk357_2(X3971,X3972),complements_of_subsets(the_carrier(X3971),X3972))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971)))))))&((element(esk362_4(X3971,X3972,X3982,X3983),powerset(the_carrier(X3971)))|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|in(esk357_2(X3971,X3972),complements_of_subsets(the_carrier(X3971),X3972))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&((esk362_4(X3971,X3972,X3982,X3983)=X3983|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|in(esk357_2(X3971,X3972),complements_of_subsets(the_carrier(X3971),X3972))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&(X3982!=subset_complement(the_carrier(X3971),esk362_4(X3971,X3972,X3982,X3983))|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|in(esk357_2(X3971,X3972),complements_of_subsets(the_carrier(X3971),X3972))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971)))))))))&(((in(esk361_3(X3971,X3972,X3979),complements_of_subsets(the_carrier(X3971),X3972))|~in(X3979,esk360_2(X3971,X3972))|(~element(X3976,powerset(the_carrier(X3971)))|(X3976!=esk357_2(X3971,X3972)|esk358_2(X3971,X3972)=subset_complement(the_carrier(X3971),X3976)))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&(~element(X3981,powerset(the_carrier(X3971)))|(X3981!=esk361_3(X3971,X3972,X3979)|X3979=subset_complement(the_carrier(X3971),X3981))|~in(X3979,esk360_2(X3971,X3972))|(~element(X3976,powerset(the_carrier(X3971)))|(X3976!=esk357_2(X3971,X3972)|esk358_2(X3971,X3972)=subset_complement(the_carrier(X3971),X3976)))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971)))))))&((element(esk362_4(X3971,X3972,X3982,X3983),powerset(the_carrier(X3971)))|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|(~element(X3976,powerset(the_carrier(X3971)))|(X3976!=esk357_2(X3971,X3972)|esk358_2(X3971,X3972)=subset_complement(the_carrier(X3971),X3976)))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&((esk362_4(X3971,X3972,X3982,X3983)=X3983|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|(~element(X3976,powerset(the_carrier(X3971)))|(X3976!=esk357_2(X3971,X3972)|esk358_2(X3971,X3972)=subset_complement(the_carrier(X3971),X3976)))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&(X3982!=subset_complement(the_carrier(X3971),esk362_4(X3971,X3972,X3982,X3983))|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|(~element(X3976,powerset(the_carrier(X3971)))|(X3976!=esk357_2(X3971,X3972)|esk358_2(X3971,X3972)=subset_complement(the_carrier(X3971),X3976)))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))))))&(((in(esk361_3(X3971,X3972,X3979),complements_of_subsets(the_carrier(X3971),X3972))|~in(X3979,esk360_2(X3971,X3972))|in(esk357_2(X3971,X3972),complements_of_subsets(the_carrier(X3971),X3972))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&(~element(X3981,powerset(the_carrier(X3971)))|(X3981!=esk361_3(X3971,X3972,X3979)|X3979=subset_complement(the_carrier(X3971),X3981))|~in(X3979,esk360_2(X3971,X3972))|in(esk357_2(X3971,X3972),complements_of_subsets(the_carrier(X3971),X3972))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971)))))))&((element(esk362_4(X3971,X3972,X3982,X3983),powerset(the_carrier(X3971)))|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|in(esk357_2(X3971,X3972),complements_of_subsets(the_carrier(X3971),X3972))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&((esk362_4(X3971,X3972,X3982,X3983)=X3983|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|in(esk357_2(X3971,X3972),complements_of_subsets(the_carrier(X3971),X3972))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&(X3982!=subset_complement(the_carrier(X3971),esk362_4(X3971,X3972,X3982,X3983))|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|in(esk357_2(X3971,X3972),complements_of_subsets(the_carrier(X3971),X3972))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))))))&(((in(esk361_3(X3971,X3972,X3979),complements_of_subsets(the_carrier(X3971),X3972))|~in(X3979,esk360_2(X3971,X3972))|(~element(X3977,powerset(the_carrier(X3971)))|(X3977!=esk357_2(X3971,X3972)|esk359_2(X3971,X3972)=subset_complement(the_carrier(X3971),X3977)))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&(~element(X3981,powerset(the_carrier(X3971)))|(X3981!=esk361_3(X3971,X3972,X3979)|X3979=subset_complement(the_carrier(X3971),X3981))|~in(X3979,esk360_2(X3971,X3972))|(~element(X3977,powerset(the_carrier(X3971)))|(X3977!=esk357_2(X3971,X3972)|esk359_2(X3971,X3972)=subset_complement(the_carrier(X3971),X3977)))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971)))))))&((element(esk362_4(X3971,X3972,X3982,X3983),powerset(the_carrier(X3971)))|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|(~element(X3977,powerset(the_carrier(X3971)))|(X3977!=esk357_2(X3971,X3972)|esk359_2(X3971,X3972)=subset_complement(the_carrier(X3971),X3977)))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&((esk362_4(X3971,X3972,X3982,X3983)=X3983|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|(~element(X3977,powerset(the_carrier(X3971)))|(X3977!=esk357_2(X3971,X3972)|esk359_2(X3971,X3972)=subset_complement(the_carrier(X3971),X3977)))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&(X3982!=subset_complement(the_carrier(X3971),esk362_4(X3971,X3972,X3982,X3983))|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|(~element(X3977,powerset(the_carrier(X3971)))|(X3977!=esk357_2(X3971,X3972)|esk359_2(X3971,X3972)=subset_complement(the_carrier(X3971),X3977)))|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))))))&(((in(esk361_3(X3971,X3972,X3979),complements_of_subsets(the_carrier(X3971),X3972))|~in(X3979,esk360_2(X3971,X3972))|esk358_2(X3971,X3972)!=esk359_2(X3971,X3972)|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&(~element(X3981,powerset(the_carrier(X3971)))|(X3981!=esk361_3(X3971,X3972,X3979)|X3979=subset_complement(the_carrier(X3971),X3981))|~in(X3979,esk360_2(X3971,X3972))|esk358_2(X3971,X3972)!=esk359_2(X3971,X3972)|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971)))))))&((element(esk362_4(X3971,X3972,X3982,X3983),powerset(the_carrier(X3971)))|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|esk358_2(X3971,X3972)!=esk359_2(X3971,X3972)|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&((esk362_4(X3971,X3972,X3982,X3983)=X3983|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|esk358_2(X3971,X3972)!=esk359_2(X3971,X3972)|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971))))))&(X3982!=subset_complement(the_carrier(X3971),esk362_4(X3971,X3972,X3982,X3983))|~in(X3983,complements_of_subsets(the_carrier(X3971),X3972))|in(X3982,esk360_2(X3971,X3972))|esk358_2(X3971,X3972)!=esk359_2(X3971,X3972)|(~one_sorted_str(X3971)|~element(X3972,powerset(powerset(the_carrier(X3971)))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_924])])])])])])).
% 282.28/198.90 cnf(i_0_1637, plain, (in(ordered_pair(esk121_2(X1,X2),esk122_2(X1,X2)),X2)|in(ordered_pair(esk122_2(X1,X2),esk121_2(X1,X2)),X1)|X2=relation_inverse(X1)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_913])).
% 282.28/198.90 cnf(i_0_1638, plain, (in(ordered_pair(esk73_2(X1,X2),esk74_2(X1,X2)),X1)|in(ordered_pair(esk73_2(X1,X2),esk74_2(X1,X2)),X2)|X1=X2|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_914])).
% 282.28/198.90 cnf(i_0_1639, plain, (X3=relation_image(X1,X2)|~in(esk26_3(X1,X2,X3),X3)|~in(ordered_pair(X4,esk26_3(X1,X2,X3)),X1)|~in(X4,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_900])).
% 282.28/198.90 cnf(i_0_1640, plain, (in(esk372_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|ordered_pair(esk368_2(X1,X2),esk369_2(X1,X2))=esk365_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1641, plain, (in(esk372_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|ordered_pair(esk366_2(X1,X2),esk367_2(X1,X2))=esk364_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1642, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk468_4(X1,X2,X3,X4),X4)|in(ordered_pair(esk464_2(X1,X2),X5),X2)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~in(X5,esk466_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1643, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk468_4(X1,X2,X3,X4),X4)|in(ordered_pair(esk463_2(X1,X2),X5),X2)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~in(X5,esk465_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1644, lemma, (relation(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|in(ordered_pair(esk464_2(X1,X2),X5),X2)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~in(X5,esk466_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1645, lemma, (relation(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|in(ordered_pair(esk463_2(X1,X2),X5),X2)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~in(X5,esk465_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1646, lemma, (function(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|in(ordered_pair(esk464_2(X1,X2),X5),X2)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~in(X5,esk466_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1647, lemma, (function(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|in(ordered_pair(esk463_2(X1,X2),X5),X2)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~in(X5,esk465_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1648, plain, (esk85_3(X1,X2,X3)=ordered_pair(esk86_3(X1,X2,X3),esk87_3(X1,X2,X3))|in(esk85_3(X1,X2,X3),X3)|X3=cartesian_product2(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_904])).
% 282.28/198.90 cnf(i_0_1649, plain, (in(esk389_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|ordered_pair(esk386_2(X1,X2),esk387_2(X1,X2))=esk383_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1650, plain, (in(esk389_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|ordered_pair(esk384_2(X1,X2),esk385_2(X1,X2))=esk382_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1651, plain, (ordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3))=X3|ordered_pair(esk321_1(X1),esk322_1(X1))=esk318_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1652, plain, (ordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3))=X3|ordered_pair(esk319_1(X1),esk320_1(X1))=esk317_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1653, plain, (in(esk390_4(X1,X2,X3,X4),X2)|ordered_pair(esk386_2(X1,X2),esk387_2(X1,X2))=esk383_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1654, plain, (in(esk390_4(X1,X2,X3,X4),X2)|ordered_pair(esk384_2(X1,X2),esk385_2(X1,X2))=esk382_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 fof(i_0_1655, plain, ![X3418, X3419, X3420, X3421]:((~empty_carrier(net_str_of(X3418,X3419,X3420,X3421))|(~one_sorted_str(X3418)|empty(X3419)|~relation_of2(X3420,X3419,X3419)|~function(X3421)|~quasi_total(X3421,X3419,the_carrier(X3418))|~relation_of2(X3421,X3419,the_carrier(X3418))))&(strict_net_str(net_str_of(X3418,X3419,X3420,X3421),X3418)|(~one_sorted_str(X3418)|empty(X3419)|~relation_of2(X3420,X3419,X3419)|~function(X3421)|~quasi_total(X3421,X3419,the_carrier(X3418))|~relation_of2(X3421,X3419,the_carrier(X3418))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_926])])])).
% 282.28/198.90 fof(i_0_1656, plain, ![X4008, X4009, X4013, X4014, X4016, X4018, X4019, X4020]:(((((((in(esk379_3(X4008,X4009,X4016),X4009)|~in(X4016,esk378_2(X4008,X4009))|in(esk375_2(X4008,X4009),X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&(~element(X4018,powerset(the_carrier(X4008)))|(X4018!=esk379_3(X4008,X4009,X4016)|X4016=subset_complement(the_carrier(X4008),X4018))|~in(X4016,esk378_2(X4008,X4009))|in(esk375_2(X4008,X4009),X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008)))))))&((element(esk380_4(X4008,X4009,X4019,X4020),powerset(the_carrier(X4008)))|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|in(esk375_2(X4008,X4009),X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&((esk380_4(X4008,X4009,X4019,X4020)=X4020|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|in(esk375_2(X4008,X4009),X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&(X4019!=subset_complement(the_carrier(X4008),esk380_4(X4008,X4009,X4019,X4020))|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|in(esk375_2(X4008,X4009),X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008)))))))))&(((in(esk379_3(X4008,X4009,X4016),X4009)|~in(X4016,esk378_2(X4008,X4009))|(~element(X4013,powerset(the_carrier(X4008)))|(X4013!=esk375_2(X4008,X4009)|esk376_2(X4008,X4009)=subset_complement(the_carrier(X4008),X4013)))|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&(~element(X4018,powerset(the_carrier(X4008)))|(X4018!=esk379_3(X4008,X4009,X4016)|X4016=subset_complement(the_carrier(X4008),X4018))|~in(X4016,esk378_2(X4008,X4009))|(~element(X4013,powerset(the_carrier(X4008)))|(X4013!=esk375_2(X4008,X4009)|esk376_2(X4008,X4009)=subset_complement(the_carrier(X4008),X4013)))|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008)))))))&((element(esk380_4(X4008,X4009,X4019,X4020),powerset(the_carrier(X4008)))|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|(~element(X4013,powerset(the_carrier(X4008)))|(X4013!=esk375_2(X4008,X4009)|esk376_2(X4008,X4009)=subset_complement(the_carrier(X4008),X4013)))|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&((esk380_4(X4008,X4009,X4019,X4020)=X4020|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|(~element(X4013,powerset(the_carrier(X4008)))|(X4013!=esk375_2(X4008,X4009)|esk376_2(X4008,X4009)=subset_complement(the_carrier(X4008),X4013)))|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&(X4019!=subset_complement(the_carrier(X4008),esk380_4(X4008,X4009,X4019,X4020))|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|(~element(X4013,powerset(the_carrier(X4008)))|(X4013!=esk375_2(X4008,X4009)|esk376_2(X4008,X4009)=subset_complement(the_carrier(X4008),X4013)))|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))))))&(((in(esk379_3(X4008,X4009,X4016),X4009)|~in(X4016,esk378_2(X4008,X4009))|in(esk375_2(X4008,X4009),X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&(~element(X4018,powerset(the_carrier(X4008)))|(X4018!=esk379_3(X4008,X4009,X4016)|X4016=subset_complement(the_carrier(X4008),X4018))|~in(X4016,esk378_2(X4008,X4009))|in(esk375_2(X4008,X4009),X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008)))))))&((element(esk380_4(X4008,X4009,X4019,X4020),powerset(the_carrier(X4008)))|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|in(esk375_2(X4008,X4009),X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&((esk380_4(X4008,X4009,X4019,X4020)=X4020|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|in(esk375_2(X4008,X4009),X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&(X4019!=subset_complement(the_carrier(X4008),esk380_4(X4008,X4009,X4019,X4020))|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|in(esk375_2(X4008,X4009),X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))))))&(((in(esk379_3(X4008,X4009,X4016),X4009)|~in(X4016,esk378_2(X4008,X4009))|(~element(X4014,powerset(the_carrier(X4008)))|(X4014!=esk375_2(X4008,X4009)|esk377_2(X4008,X4009)=subset_complement(the_carrier(X4008),X4014)))|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&(~element(X4018,powerset(the_carrier(X4008)))|(X4018!=esk379_3(X4008,X4009,X4016)|X4016=subset_complement(the_carrier(X4008),X4018))|~in(X4016,esk378_2(X4008,X4009))|(~element(X4014,powerset(the_carrier(X4008)))|(X4014!=esk375_2(X4008,X4009)|esk377_2(X4008,X4009)=subset_complement(the_carrier(X4008),X4014)))|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008)))))))&((element(esk380_4(X4008,X4009,X4019,X4020),powerset(the_carrier(X4008)))|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|(~element(X4014,powerset(the_carrier(X4008)))|(X4014!=esk375_2(X4008,X4009)|esk377_2(X4008,X4009)=subset_complement(the_carrier(X4008),X4014)))|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&((esk380_4(X4008,X4009,X4019,X4020)=X4020|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|(~element(X4014,powerset(the_carrier(X4008)))|(X4014!=esk375_2(X4008,X4009)|esk377_2(X4008,X4009)=subset_complement(the_carrier(X4008),X4014)))|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&(X4019!=subset_complement(the_carrier(X4008),esk380_4(X4008,X4009,X4019,X4020))|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|(~element(X4014,powerset(the_carrier(X4008)))|(X4014!=esk375_2(X4008,X4009)|esk377_2(X4008,X4009)=subset_complement(the_carrier(X4008),X4014)))|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))))))&(((in(esk379_3(X4008,X4009,X4016),X4009)|~in(X4016,esk378_2(X4008,X4009))|esk376_2(X4008,X4009)!=esk377_2(X4008,X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&(~element(X4018,powerset(the_carrier(X4008)))|(X4018!=esk379_3(X4008,X4009,X4016)|X4016=subset_complement(the_carrier(X4008),X4018))|~in(X4016,esk378_2(X4008,X4009))|esk376_2(X4008,X4009)!=esk377_2(X4008,X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008)))))))&((element(esk380_4(X4008,X4009,X4019,X4020),powerset(the_carrier(X4008)))|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|esk376_2(X4008,X4009)!=esk377_2(X4008,X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&((esk380_4(X4008,X4009,X4019,X4020)=X4020|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|esk376_2(X4008,X4009)!=esk377_2(X4008,X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008))))))&(X4019!=subset_complement(the_carrier(X4008),esk380_4(X4008,X4009,X4019,X4020))|~in(X4020,X4009)|in(X4019,esk378_2(X4008,X4009))|esk376_2(X4008,X4009)!=esk377_2(X4008,X4009)|(~one_sorted_str(X4008)|~element(X4009,powerset(powerset(the_carrier(X4008)))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_927])])])])])])).
% 282.28/198.90 fof(i_0_1657, plain, ![X3461, X3462, X3463, X3464, X3465, X3466, X3467, X3468]:((((X3461=X3465|net_str_of(X3461,X3462,X3463,X3464)!=net_str_of(X3465,X3466,X3467,X3468)|(~one_sorted_str(X3461)|~relation_of2(X3463,X3462,X3462)|~function(X3464)|~quasi_total(X3464,X3462,the_carrier(X3461))|~relation_of2(X3464,X3462,the_carrier(X3461))))&(X3462=X3466|net_str_of(X3461,X3462,X3463,X3464)!=net_str_of(X3465,X3466,X3467,X3468)|(~one_sorted_str(X3461)|~relation_of2(X3463,X3462,X3462)|~function(X3464)|~quasi_total(X3464,X3462,the_carrier(X3461))|~relation_of2(X3464,X3462,the_carrier(X3461)))))&(X3463=X3467|net_str_of(X3461,X3462,X3463,X3464)!=net_str_of(X3465,X3466,X3467,X3468)|(~one_sorted_str(X3461)|~relation_of2(X3463,X3462,X3462)|~function(X3464)|~quasi_total(X3464,X3462,the_carrier(X3461))|~relation_of2(X3464,X3462,the_carrier(X3461)))))&(X3464=X3468|net_str_of(X3461,X3462,X3463,X3464)!=net_str_of(X3465,X3466,X3467,X3468)|(~one_sorted_str(X3461)|~relation_of2(X3463,X3462,X3462)|~function(X3464)|~quasi_total(X3464,X3462,the_carrier(X3461))|~relation_of2(X3464,X3462,the_carrier(X3461))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_waybel_0])])])])).
% 282.28/198.90 cnf(i_0_1658, plain, (in(esk335_4(X1,X2,X3,X4),esk334_3(X1,X2,X3))|in(X2,esk330_1(X1))|epred2_3(esk329_1(X1),esk328_1(X1),esk327_1(X1))|~in(X4,esk334_3(X1,X2,X3))|~ordinal(X3)|X2!=X3|~in(X5,succ(X1))|X5!=X2|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928])).
% 282.28/198.90 cnf(i_0_1659, plain, (succ(X1)=set_union2(X1,unordered_pair(X1,X1))), inference(rw,[status(thm)],[i_0_929, c_0_882])).
% 282.28/198.90 cnf(i_0_1660, lemma, (X1=esk253_4(X2,X3,X1,X4)|in(ordered_pair(esk249_2(X2,X3),X5),X3)|empty(X2)|~in(ordered_pair(X1,X4),esk252_2(X2,X3))|~in(X5,esk251_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1661, lemma, (X1=esk253_4(X2,X3,X1,X4)|in(ordered_pair(esk248_2(X2,X3),X5),X3)|empty(X2)|~in(ordered_pair(X1,X4),esk252_2(X2,X3))|~in(X5,esk250_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 fof(i_0_1662, plain, ![X2558, X2559, X2560, X2561, X2562, X2566]:(((~in(X2561,X2560)|(~point_neighbourhood(X2562,X2558,X2561)|is_eventually_in(X2558,X2559,X2562))|~element(X2561,the_carrier(X2558))|X2560!=lim_points_of_net(X2558,X2559)|~element(X2560,powerset(the_carrier(X2558)))|(empty_carrier(X2559)|~transitive_relstr(X2559)|~directed_relstr(X2559)|~net_str(X2559,X2558))|(empty_carrier(X2558)|~topological_space(X2558)|~top_str(X2558)))&((point_neighbourhood(esk34_4(X2558,X2559,X2560,X2561),X2558,X2561)|in(X2561,X2560)|~element(X2561,the_carrier(X2558))|X2560!=lim_points_of_net(X2558,X2559)|~element(X2560,powerset(the_carrier(X2558)))|(empty_carrier(X2559)|~transitive_relstr(X2559)|~directed_relstr(X2559)|~net_str(X2559,X2558))|(empty_carrier(X2558)|~topological_space(X2558)|~top_str(X2558)))&(~is_eventually_in(X2558,X2559,esk34_4(X2558,X2559,X2560,X2561))|in(X2561,X2560)|~element(X2561,the_carrier(X2558))|X2560!=lim_points_of_net(X2558,X2559)|~element(X2560,powerset(the_carrier(X2558)))|(empty_carrier(X2559)|~transitive_relstr(X2559)|~directed_relstr(X2559)|~net_str(X2559,X2558))|(empty_carrier(X2558)|~topological_space(X2558)|~top_str(X2558)))))&((element(esk35_3(X2558,X2559,X2560),the_carrier(X2558))|X2560=lim_points_of_net(X2558,X2559)|~element(X2560,powerset(the_carrier(X2558)))|(empty_carrier(X2559)|~transitive_relstr(X2559)|~directed_relstr(X2559)|~net_str(X2559,X2558))|(empty_carrier(X2558)|~topological_space(X2558)|~top_str(X2558)))&(((point_neighbourhood(esk36_3(X2558,X2559,X2560),X2558,esk35_3(X2558,X2559,X2560))|~in(esk35_3(X2558,X2559,X2560),X2560)|X2560=lim_points_of_net(X2558,X2559)|~element(X2560,powerset(the_carrier(X2558)))|(empty_carrier(X2559)|~transitive_relstr(X2559)|~directed_relstr(X2559)|~net_str(X2559,X2558))|(empty_carrier(X2558)|~topological_space(X2558)|~top_str(X2558)))&(~is_eventually_in(X2558,X2559,esk36_3(X2558,X2559,X2560))|~in(esk35_3(X2558,X2559,X2560),X2560)|X2560=lim_points_of_net(X2558,X2559)|~element(X2560,powerset(the_carrier(X2558)))|(empty_carrier(X2559)|~transitive_relstr(X2559)|~directed_relstr(X2559)|~net_str(X2559,X2558))|(empty_carrier(X2558)|~topological_space(X2558)|~top_str(X2558))))&(in(esk35_3(X2558,X2559,X2560),X2560)|(~point_neighbourhood(X2566,X2558,esk35_3(X2558,X2559,X2560))|is_eventually_in(X2558,X2559,X2566))|X2560=lim_points_of_net(X2558,X2559)|~element(X2560,powerset(the_carrier(X2558)))|(empty_carrier(X2559)|~transitive_relstr(X2559)|~directed_relstr(X2559)|~net_str(X2559,X2558))|(empty_carrier(X2558)|~topological_space(X2558)|~top_str(X2558)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_930])])])])])).
% 282.28/198.90 cnf(i_0_1663, lemma, (relation_rng_as_subset(X2,X3,X4)=X3|~in(ordered_pair(X1,esk512_3(X2,X3,X4)),X4)|~relation_of2_as_subset(X4,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_897])).
% 282.28/198.90 fof(i_0_1664, plain, ![X4073, X4074, X4075, X4080, X4082, X4083]:((((((((in(esk413_4(X4073,X4074,X4075,X4080),powerset(relation_dom(X4075)))|~in(X4080,esk412_3(X4073,X4074,X4075))|esk409_3(X4073,X4074,X4075)=esk410_3(X4073,X4074,X4075)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075)))&(esk413_4(X4073,X4074,X4075,X4080)=X4080|~in(X4080,esk412_3(X4073,X4074,X4075))|esk409_3(X4073,X4074,X4075)=esk410_3(X4073,X4074,X4075)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075))))&(in(relation_image(X4075,X4080),X4074)|~in(X4080,esk412_3(X4073,X4074,X4075))|esk409_3(X4073,X4074,X4075)=esk410_3(X4073,X4074,X4075)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075))))&(~in(X4083,powerset(relation_dom(X4075)))|X4083!=X4082|~in(relation_image(X4075,X4082),X4074)|in(X4082,esk412_3(X4073,X4074,X4075))|esk409_3(X4073,X4074,X4075)=esk410_3(X4073,X4074,X4075)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075))))&((((in(esk413_4(X4073,X4074,X4075,X4080),powerset(relation_dom(X4075)))|~in(X4080,esk412_3(X4073,X4074,X4075))|in(relation_image(X4075,esk410_3(X4073,X4074,X4075)),X4074)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075)))&(esk413_4(X4073,X4074,X4075,X4080)=X4080|~in(X4080,esk412_3(X4073,X4074,X4075))|in(relation_image(X4075,esk410_3(X4073,X4074,X4075)),X4074)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075))))&(in(relation_image(X4075,X4080),X4074)|~in(X4080,esk412_3(X4073,X4074,X4075))|in(relation_image(X4075,esk410_3(X4073,X4074,X4075)),X4074)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075))))&(~in(X4083,powerset(relation_dom(X4075)))|X4083!=X4082|~in(relation_image(X4075,X4082),X4074)|in(X4082,esk412_3(X4073,X4074,X4075))|in(relation_image(X4075,esk410_3(X4073,X4074,X4075)),X4074)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075)))))&((((in(esk413_4(X4073,X4074,X4075,X4080),powerset(relation_dom(X4075)))|~in(X4080,esk412_3(X4073,X4074,X4075))|esk409_3(X4073,X4074,X4075)=esk411_3(X4073,X4074,X4075)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075)))&(esk413_4(X4073,X4074,X4075,X4080)=X4080|~in(X4080,esk412_3(X4073,X4074,X4075))|esk409_3(X4073,X4074,X4075)=esk411_3(X4073,X4074,X4075)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075))))&(in(relation_image(X4075,X4080),X4074)|~in(X4080,esk412_3(X4073,X4074,X4075))|esk409_3(X4073,X4074,X4075)=esk411_3(X4073,X4074,X4075)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075))))&(~in(X4083,powerset(relation_dom(X4075)))|X4083!=X4082|~in(relation_image(X4075,X4082),X4074)|in(X4082,esk412_3(X4073,X4074,X4075))|esk409_3(X4073,X4074,X4075)=esk411_3(X4073,X4074,X4075)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075)))))&((((in(esk413_4(X4073,X4074,X4075,X4080),powerset(relation_dom(X4075)))|~in(X4080,esk412_3(X4073,X4074,X4075))|in(relation_image(X4075,esk411_3(X4073,X4074,X4075)),X4074)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075)))&(esk413_4(X4073,X4074,X4075,X4080)=X4080|~in(X4080,esk412_3(X4073,X4074,X4075))|in(relation_image(X4075,esk411_3(X4073,X4074,X4075)),X4074)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075))))&(in(relation_image(X4075,X4080),X4074)|~in(X4080,esk412_3(X4073,X4074,X4075))|in(relation_image(X4075,esk411_3(X4073,X4074,X4075)),X4074)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075))))&(~in(X4083,powerset(relation_dom(X4075)))|X4083!=X4082|~in(relation_image(X4075,X4082),X4074)|in(X4082,esk412_3(X4073,X4074,X4075))|in(relation_image(X4075,esk411_3(X4073,X4074,X4075)),X4074)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075)))))&((((in(esk413_4(X4073,X4074,X4075,X4080),powerset(relation_dom(X4075)))|~in(X4080,esk412_3(X4073,X4074,X4075))|esk410_3(X4073,X4074,X4075)!=esk411_3(X4073,X4074,X4075)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075)))&(esk413_4(X4073,X4074,X4075,X4080)=X4080|~in(X4080,esk412_3(X4073,X4074,X4075))|esk410_3(X4073,X4074,X4075)!=esk411_3(X4073,X4074,X4075)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075))))&(in(relation_image(X4075,X4080),X4074)|~in(X4080,esk412_3(X4073,X4074,X4075))|esk410_3(X4073,X4074,X4075)!=esk411_3(X4073,X4074,X4075)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075))))&(~in(X4083,powerset(relation_dom(X4075)))|X4083!=X4082|~in(relation_image(X4075,X4082),X4074)|in(X4082,esk412_3(X4073,X4074,X4075))|esk410_3(X4073,X4074,X4075)!=esk411_3(X4073,X4074,X4075)|(~element(X4074,powerset(powerset(X4073)))|~relation(X4075)|~function(X4075))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e6_27__finset_1__1])])])])])])).
% 282.28/198.90 cnf(i_0_1665, plain, (in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|ordered_pair(esk291_2(X1,X2),esk292_2(X1,X2))=esk287_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1666, plain, (in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|ordered_pair(esk288_2(X1,X2),esk289_2(X1,X2))=esk286_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1667, plain, (ordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3))=X3|esk322_1(X1)=singleton(esk321_1(X1))|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1668, plain, (ordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3))=X3|esk320_1(X1)=singleton(esk319_1(X1))|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1669, plain, (X2=inclusion_relation(X1)|~in(ordered_pair(esk62_2(X1,X2),esk63_2(X1,X2)),X2)|~subset(esk62_2(X1,X2),esk63_2(X1,X2))|relation_field(X2)!=X1|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_931])).
% 282.28/198.90 cnf(i_0_1670, lemma, (the_InternalRel(incl_POSet(X1))=inclusion_relation(X1)), inference(rw,[status(thm)],[i_0_932, c_0_933])).
% 282.28/198.90 cnf(i_0_1671, plain, (ordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3))=X3|in(esk321_1(X1),X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1672, plain, (ordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3))=X3|in(esk319_1(X1),X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1673, plain, (in(esk335_4(X1,X2,X3,X4),esk334_3(X1,X2,X3))|in(X2,esk330_1(X1))|~in(X4,esk334_3(X1,X2,X3))|~ordinal(X3)|X2!=X3|~in(X5,succ(X1))|X5!=X2|esk328_1(X1)!=esk329_1(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928])).
% 282.28/198.90 cnf(i_0_1674, plain, (X2=identity_relation(X1)|~in(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X2)|~in(esk1_2(X1,X2),X1)|esk1_2(X1,X2)!=esk2_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_934])).
% 282.28/198.90 cnf(i_0_1675, plain, (ordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3))=X3|~in(X3,esk323_2(X1,X2))|esk317_1(X1)!=esk318_1(X1)), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1676, plain, (in(esk296_4(X1,X2,X3,X4),X1)|ordered_pair(esk291_2(X1,X2),esk292_2(X1,X2))=esk287_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1677, plain, (in(esk296_4(X1,X2,X3,X4),X1)|ordered_pair(esk288_2(X1,X2),esk289_2(X1,X2))=esk286_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1678, plain, (ordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3))=X3|esk316_1(X1)=esk318_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1679, plain, (ordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3))=X3|esk316_1(X1)=esk317_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1680, lemma, (in(esk437_4(X1,X2,X3,X4),esk436_3(X1,X2,X3))|in(X2,esk433_1(X1))|~in(X4,esk436_3(X1,X2,X3))|~ordinal(X3)|X2!=X3|~in(X2,succ(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_935])).
% 282.28/198.90 cnf(i_0_1681, lemma, (element(esk263_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(ordered_pair(X3,X4),esk262_2(X1,X2))|esk261_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X5,powerset(the_carrier(X1)))|X5!=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1682, lemma, (element(esk263_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(ordered_pair(X3,X4),esk262_2(X1,X2))|esk260_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X5,powerset(the_carrier(X1)))|X5!=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1683, plain, (esk296_4(X1,X2,X3,X4)=esk298_4(X1,X2,X3,X4)|ordered_pair(esk291_2(X1,X2),esk292_2(X1,X2))=esk287_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1684, plain, (esk296_4(X1,X2,X3,X4)=esk298_4(X1,X2,X3,X4)|ordered_pair(esk288_2(X1,X2),esk289_2(X1,X2))=esk286_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1685, lemma, (ordered_pair(esk431_3(X1,X2,X3),esk432_3(X1,X2,X3))=X3|~in(X3,esk430_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_936])).
% 282.28/198.90 fof(i_0_1686, lemma, ![X4630, X4631, X4632]:((~in(ordered_pair_as_product_element(the_carrier(X4630),the_carrier(X4630),X4631,X4632),relation_of_lattice(X4630))|below_refl(X4630,X4631,X4632)|~element(X4632,the_carrier(X4630))|~element(X4631,the_carrier(X4630))|(empty_carrier(X4630)|~lattice(X4630)|~latt_str(X4630)))&(~below_refl(X4630,X4631,X4632)|in(ordered_pair_as_product_element(the_carrier(X4630),the_carrier(X4630),X4631,X4632),relation_of_lattice(X4630))|~element(X4632,the_carrier(X4630))|~element(X4631,the_carrier(X4630))|(empty_carrier(X4630)|~lattice(X4630)|~latt_str(X4630)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_937])])])])).
% 282.28/198.90 cnf(i_0_1687, lemma, (in(ordered_pair(apply(X1,X2),apply(X1,X3)),X4)|~in(ordered_pair(X2,X3),esk275_3(X5,X4,X1))|~relation(X4)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_923])).
% 282.28/198.90 cnf(i_0_1688, plain, (esk295_4(X1,X2,X3,X4)=X4|in(ordered_pair(esk292_2(X1,X2),X5),X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~in(X5,esk293_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1689, plain, (esk295_4(X1,X2,X3,X4)=X4|in(ordered_pair(esk289_2(X1,X2),X5),X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~in(X5,esk290_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1690, plain, (subset(X1,esk335_4(X2,X3,X4,X1))|in(X3,esk330_1(X2))|epred2_3(esk329_1(X2),esk328_1(X2),esk327_1(X2))|~in(X1,esk334_3(X2,X3,X4))|~ordinal(X4)|X3!=X4|~in(X5,succ(X2))|X5!=X3|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_928])).
% 282.28/198.90 cnf(i_0_1691, lemma, (element(esk263_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(ordered_pair(X3,X4),esk262_2(X1,X2))|in(esk259_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1692, lemma, (element(esk263_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(ordered_pair(X3,X4),esk262_2(X1,X2))|in(esk259_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1693, plain, (in(ordered_pair(X4,X1),X3)|in(ordered_pair(esk278_2(X2,X3),X5),X3)|empty(X2)|~in(X1,esk283_3(X2,X3,X4))|~in(X4,esk281_2(X2,X3))|~in(X5,esk280_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1694, plain, (in(ordered_pair(X4,X1),X3)|in(ordered_pair(esk277_2(X2,X3),X5),X3)|empty(X2)|~in(X1,esk283_3(X2,X3,X4))|~in(X4,esk281_2(X2,X3))|~in(X5,esk279_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1695, lemma, (element(esk268_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(ordered_pair(X3,X4),esk267_2(X1,X2))|esk266_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X3,X2)|~element(X5,powerset(the_carrier(X1)))|X5!=esk264_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1696, lemma, (element(esk268_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(ordered_pair(X3,X4),esk267_2(X1,X2))|esk265_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X3,X2)|~element(X5,powerset(the_carrier(X1)))|X5!=esk264_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1697, lemma, (element(esk263_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(ordered_pair(X3,X4),esk262_2(X1,X2))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|esk260_2(X1,X2)!=esk261_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1698, plain, (subset(X1,X2)|~in(ordered_pair(esk92_2(X1,X2),esk93_2(X1,X2)),X2)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_938])).
% 282.28/198.90 cnf(i_0_1699, plain, (in(ordered_pair(apply(X1,X2),apply(X1,X3)),X4)|~in(ordered_pair(X2,X3),X5)|~relation_isomorphism(X5,X4,X1)|~relation(X1)|~function(X1)|~relation(X4)|~relation(X5)), inference(split_conjunct,[status(thm)],[i_0_895])).
% 282.28/198.90 cnf(i_0_1700, plain, (is_reflexive_in(X1,X2)|~in(ordered_pair(esk52_2(X1,X2),esk52_2(X1,X2)),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_939])).
% 282.28/198.90 cnf(i_0_1701, plain, (is_transitive_in(X1,X2)|~in(ordered_pair(esk141_2(X1,X2),esk143_2(X1,X2)),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_940])).
% 282.28/198.90 cnf(i_0_1702, plain, (is_connected_in(X1,X2)|~in(ordered_pair(esk120_2(X1,X2),esk119_2(X1,X2)),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_941])).
% 282.28/198.90 cnf(i_0_1703, plain, (is_connected_in(X1,X2)|~in(ordered_pair(esk119_2(X1,X2),esk120_2(X1,X2)),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_941])).
% 282.28/198.90 cnf(i_0_1704, plain, (subset(X1,esk335_4(X2,X3,X4,X1))|in(X3,esk330_1(X2))|~in(X1,esk334_3(X2,X3,X4))|~ordinal(X4)|X3!=X4|~in(X5,succ(X2))|X5!=X3|esk328_1(X2)!=esk329_1(X2)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_928])).
% 282.28/198.90 cnf(i_0_1705, lemma, (subset(X1,esk437_4(X2,X3,X4,X1))|in(X3,esk433_1(X2))|~in(X1,esk436_3(X2,X3,X4))|~ordinal(X4)|X3!=X4|~in(X3,succ(X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_935])).
% 282.28/198.90 cnf(i_0_1706, lemma, (element(esk268_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(ordered_pair(X3,X4),esk267_2(X1,X2))|~in(X3,X2)|esk265_2(X1,X2)!=esk266_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1707, lemma, (element(esk268_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(ordered_pair(X3,X4),esk267_2(X1,X2))|in(esk264_2(X1,X2),X2)|~in(X3,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1708, lemma, (element(esk268_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(ordered_pair(X3,X4),esk267_2(X1,X2))|in(esk264_2(X1,X2),X2)|~in(X3,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1709, lemma, (in(X1,esk253_4(X2,X3,X4,X1))|in(esk249_2(X2,X3),esk251_2(X2,X3))|empty(X2)|~in(ordered_pair(X4,X1),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1710, lemma, (in(X1,esk253_4(X2,X3,X4,X1))|in(esk248_2(X2,X3),esk250_2(X2,X3))|empty(X2)|~in(ordered_pair(X4,X1),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1711, plain, (in(X2,esk330_1(X1))|epred2_3(esk329_1(X1),esk328_1(X1),esk327_1(X1))|esk335_4(X1,X2,X3,X4)!=X4|~in(X4,esk334_3(X1,X2,X3))|~ordinal(X3)|X2!=X3|~in(X5,succ(X1))|X5!=X2|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928])).
% 282.28/198.90 cnf(i_0_1712, plain, (X1=set_difference(esk356_3(X2,X3,X1),singleton(X2))|esk351_2(X2,X3)=set_difference(esk353_2(X2,X3),singleton(X2))|~in(X1,esk354_2(X2,X3))|~ordinal(X2)|~element(X3,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1713, plain, (X1=set_difference(esk356_3(X2,X3,X1),singleton(X2))|esk350_2(X2,X3)=set_difference(esk352_2(X2,X3),singleton(X2))|~in(X1,esk354_2(X2,X3))|~ordinal(X2)|~element(X3,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1714, lemma, (in(X1,esk253_4(X2,X3,X4,X1))|empty(X2)|~in(ordered_pair(X4,X1),esk252_2(X2,X3))|esk248_2(X2,X3)!=esk249_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1715, lemma, (in(X1,esk253_4(X2,X3,X4,X1))|in(esk247_2(X2,X3),X2)|empty(X2)|~in(ordered_pair(X4,X1),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1716, lemma, (in(X1,esk253_4(X2,X3,X4,X1))|in(esk247_2(X2,X3),X2)|empty(X2)|~in(ordered_pair(X4,X1),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1717, plain, (esk389_4(X1,X2,X3,X4)=X4|ordered_pair(esk386_2(X1,X2),esk387_2(X1,X2))=esk383_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1718, plain, (esk389_4(X1,X2,X3,X4)=X4|ordered_pair(esk384_2(X1,X2),esk385_2(X1,X2))=esk382_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887])).
% 282.28/198.90 cnf(i_0_1719, plain, (esk371_4(X1,X2,X3,X4)=X4|ordered_pair(esk368_2(X1,X2),esk369_2(X1,X2))=esk365_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 cnf(i_0_1720, plain, (esk371_4(X1,X2,X3,X4)=X4|ordered_pair(esk366_2(X1,X2),esk367_2(X1,X2))=esk364_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886])).
% 282.28/198.90 fof(i_0_1721, plain, ![X2486, X2487, X2488, X2489, X2490, X2491, X2492]:((((in(X2489,relation_dom(X2486))|~in(X2489,X2488)|X2488!=relation_inverse_image(X2486,X2487)|(~relation(X2486)|~function(X2486)))&(in(apply(X2486,X2489),X2487)|~in(X2489,X2488)|X2488!=relation_inverse_image(X2486,X2487)|(~relation(X2486)|~function(X2486))))&(~in(X2490,relation_dom(X2486))|~in(apply(X2486,X2490),X2487)|in(X2490,X2488)|X2488!=relation_inverse_image(X2486,X2487)|(~relation(X2486)|~function(X2486))))&((~in(esk19_3(X2486,X2491,X2492),X2492)|(~in(esk19_3(X2486,X2491,X2492),relation_dom(X2486))|~in(apply(X2486,esk19_3(X2486,X2491,X2492)),X2491))|X2492=relation_inverse_image(X2486,X2491)|(~relation(X2486)|~function(X2486)))&((in(esk19_3(X2486,X2491,X2492),relation_dom(X2486))|in(esk19_3(X2486,X2491,X2492),X2492)|X2492=relation_inverse_image(X2486,X2491)|(~relation(X2486)|~function(X2486)))&(in(apply(X2486,esk19_3(X2486,X2491,X2492)),X2491)|in(esk19_3(X2486,X2491,X2492),X2492)|X2492=relation_inverse_image(X2486,X2491)|(~relation(X2486)|~function(X2486)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_funct_1])])])])])])).
% 282.28/198.90 cnf(i_0_1722, plain, (in(esk355_3(X1,X2,X3),powerset(X1))|esk351_2(X1,X2)=set_difference(esk353_2(X1,X2),singleton(X1))|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1723, plain, (in(esk355_3(X1,X2,X3),powerset(X1))|esk350_2(X1,X2)=set_difference(esk352_2(X1,X2),singleton(X1))|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1724, lemma, (in(X1,esk253_4(X2,X3,X4,X1))|esk247_2(X2,X3)=esk251_2(X2,X3)|empty(X2)|~in(ordered_pair(X4,X1),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1725, lemma, (in(X1,esk253_4(X2,X3,X4,X1))|esk247_2(X2,X3)=esk250_2(X2,X3)|empty(X2)|~in(ordered_pair(X4,X1),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1726, plain, (in(esk356_3(X1,X2,X3),X2)|esk351_2(X1,X2)=set_difference(esk353_2(X1,X2),singleton(X1))|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1727, plain, (in(esk356_3(X1,X2,X3),X2)|esk350_2(X1,X2)=set_difference(esk352_2(X1,X2),singleton(X1))|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1728, lemma, (in(X1,X2)|in(ordered_pair(esk249_2(X2,X4),X5),X4)|empty(X2)|~in(ordered_pair(X1,X3),esk252_2(X2,X4))|~in(X5,esk251_2(X2,X4))|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1729, lemma, (in(X1,X2)|in(ordered_pair(esk248_2(X2,X4),X5),X4)|empty(X2)|~in(ordered_pair(X1,X3),esk252_2(X2,X4))|~in(X5,esk250_2(X2,X4))|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 fof(i_0_1730, plain, ![X3451, X3452, X3453, X3454, X3456]:((((element(esk170_4(X3451,X3452,X3453,X3454),the_carrier(X3453))|~in(X3451,a_3_0_waybel_9(X3452,X3453,X3454))|(empty_carrier(X3452)|~one_sorted_str(X3452)|empty_carrier(X3453)|~net_str(X3453,X3452)|~element(X3454,the_carrier(X3453))))&(X3451=esk170_4(X3451,X3452,X3453,X3454)|~in(X3451,a_3_0_waybel_9(X3452,X3453,X3454))|(empty_carrier(X3452)|~one_sorted_str(X3452)|empty_carrier(X3453)|~net_str(X3453,X3452)|~element(X3454,the_carrier(X3453)))))&(related(X3453,X3454,esk170_4(X3451,X3452,X3453,X3454))|~in(X3451,a_3_0_waybel_9(X3452,X3453,X3454))|(empty_carrier(X3452)|~one_sorted_str(X3452)|empty_carrier(X3453)|~net_str(X3453,X3452)|~element(X3454,the_carrier(X3453)))))&(~element(X3456,the_carrier(X3453))|X3451!=X3456|~related(X3453,X3454,X3456)|in(X3451,a_3_0_waybel_9(X3452,X3453,X3454))|(empty_carrier(X3452)|~one_sorted_str(X3452)|empty_carrier(X3453)|~net_str(X3453,X3452)|~element(X3454,the_carrier(X3453))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_943])])])])])).
% 282.28/198.90 cnf(i_0_1731, plain, (X1=set_difference(esk356_3(X2,X3,X1),singleton(X2))|~in(X1,esk354_2(X2,X3))|esk350_2(X2,X3)!=esk351_2(X2,X3)|~ordinal(X2)|~element(X3,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 fof(i_0_1732, plain, ![X3084, X3085, X3086, X3087]:((strict_net_str(net_str_of(X3084,X3085,X3086,X3087),X3084)|(~one_sorted_str(X3084)|~relation_of2(X3086,X3085,X3085)|~function(X3087)|~quasi_total(X3087,X3085,the_carrier(X3084))|~relation_of2(X3087,X3085,the_carrier(X3084))))&(net_str(net_str_of(X3084,X3085,X3086,X3087),X3084)|(~one_sorted_str(X3084)|~relation_of2(X3086,X3085,X3085)|~function(X3087)|~quasi_total(X3087,X3085,the_carrier(X3084))|~relation_of2(X3087,X3085,the_carrier(X3084))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g1_waybel_0])])])).
% 282.28/198.90 cnf(i_0_1733, plain, (X1=set_difference(esk356_3(X2,X3,X1),singleton(X2))|in(esk353_2(X2,X3),X3)|~in(X1,esk354_2(X2,X3))|~ordinal(X2)|~element(X3,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1734, plain, (X1=set_difference(esk356_3(X2,X3,X1),singleton(X2))|in(esk352_2(X2,X3),X3)|~in(X1,esk354_2(X2,X3))|~ordinal(X2)|~element(X3,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1735, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk467_2(X1,X2),X1)|in(ordered_pair(esk464_2(X1,X2),X4),X2)|empty(X1)|~in(X3,X1)|~in(X4,esk466_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1736, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk467_2(X1,X2),X1)|in(ordered_pair(esk463_2(X1,X2),X4),X2)|empty(X1)|~in(X3,X1)|~in(X4,esk465_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1737, plain, (in(X3,esk354_2(X2,X5))|esk351_2(X2,X5)=set_difference(esk353_2(X2,X5),singleton(X2))|~in(X1,powerset(X2))|X1!=X3|~in(X4,X5)|X3!=set_difference(X4,singleton(X2))|~ordinal(X2)|~element(X5,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1738, plain, (in(X3,esk354_2(X2,X5))|esk350_2(X2,X5)=set_difference(esk352_2(X2,X5),singleton(X2))|~in(X1,powerset(X2))|X1!=X3|~in(X4,X5)|X3!=set_difference(X4,singleton(X2))|~ordinal(X2)|~element(X5,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1739, plain, (X2=relation_dom(X1)|~in(esk99_2(X1,X2),X2)|~in(ordered_pair(esk99_2(X1,X2),X3),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_944])).
% 282.28/198.90 cnf(i_0_1740, plain, (X1=set_difference(esk356_3(X2,X3,X1),singleton(X2))|esk349_2(X2,X3)=esk351_2(X2,X3)|~in(X1,esk354_2(X2,X3))|~ordinal(X2)|~element(X3,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1741, plain, (X1=set_difference(esk356_3(X2,X3,X1),singleton(X2))|esk349_2(X2,X3)=esk350_2(X2,X3)|~in(X1,esk354_2(X2,X3))|~ordinal(X2)|~element(X3,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 fof(i_0_1742, plain, ![X3115, X3116, X3117, X3118]:(empty_carrier(X3115)|~one_sorted_str(X3115)|empty_carrier(X3116)|~one_sorted_str(X3116)|~function(X3117)|~quasi_total(X3117,the_carrier(X3115),the_carrier(X3116))|~relation_of2(X3117,the_carrier(X3115),the_carrier(X3116))|~element(X3118,the_carrier(X3115))|element(apply_on_structs(X3115,X3116,X3117,X3118),the_carrier(X3116))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_945])])).
% 282.28/198.90 cnf(i_0_1743, plain, (in(esk355_3(X1,X2,X3),powerset(X1))|~in(X3,esk354_2(X1,X2))|esk350_2(X1,X2)!=esk351_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1744, plain, (in(X2,esk330_1(X1))|esk335_4(X1,X2,X3,X4)!=X4|~in(X4,esk334_3(X1,X2,X3))|~ordinal(X3)|X2!=X3|~in(X5,succ(X1))|X5!=X2|esk328_1(X1)!=esk329_1(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928])).
% 282.28/198.90 cnf(i_0_1745, plain, (in(esk355_3(X1,X2,X3),powerset(X1))|in(esk353_2(X1,X2),X2)|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1746, plain, (in(esk355_3(X1,X2,X3),powerset(X1))|in(esk352_2(X1,X2),X2)|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1747, plain, (in(esk356_3(X1,X2,X3),X2)|~in(X3,esk354_2(X1,X2))|esk350_2(X1,X2)!=esk351_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1748, plain, (in(esk356_3(X1,X2,X3),X2)|in(esk353_2(X1,X2),X2)|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1749, plain, (in(esk356_3(X1,X2,X3),X2)|in(esk352_2(X1,X2),X2)|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1750, plain, (in(esk355_3(X1,X2,X3),powerset(X1))|esk349_2(X1,X2)=esk351_2(X1,X2)|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1751, plain, (in(esk355_3(X1,X2,X3),powerset(X1))|esk349_2(X1,X2)=esk350_2(X1,X2)|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1752, lemma, (in(X2,esk433_1(X1))|esk437_4(X1,X2,X3,X4)!=X4|~in(X4,esk436_3(X1,X2,X3))|~ordinal(X3)|X2!=X3|~in(X2,succ(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_935])).
% 282.28/198.90 cnf(i_0_1753, plain, (in(esk356_3(X1,X2,X3),X2)|esk349_2(X1,X2)=esk351_2(X1,X2)|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1754, plain, (in(esk356_3(X1,X2,X3),X2)|esk349_2(X1,X2)=esk350_2(X1,X2)|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1755, lemma, (X1=set_difference(esk442_3(X2,X3,X1),singleton(X2))|~in(X1,esk441_2(X2,X3))|~ordinal(X2)|~element(X3,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_946])).
% 282.28/198.90 fof(i_0_1756, plain, ![X3178, X3179, X3180, X3181]:(~one_sorted_str(X3178)|~one_sorted_str(X3179)|~function(X3180)|~quasi_total(X3180,the_carrier(X3178),the_carrier(X3179))|~relation_of2(X3180,the_carrier(X3178),the_carrier(X3179))|element(function_invverse_img_as_carrier_subset(X3178,X3179,X3180,X3181),powerset(the_carrier(X3178)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_pre_topc])])).
% 282.28/198.90 cnf(i_0_1757, plain, (in(X3,esk354_2(X2,X5))|~in(X1,powerset(X2))|X1!=X3|~in(X4,X5)|X3!=set_difference(X4,singleton(X2))|esk350_2(X2,X5)!=esk351_2(X2,X5)|~ordinal(X2)|~element(X5,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1758, plain, (in(X3,esk354_2(X2,X5))|in(esk353_2(X2,X5),X5)|~in(X1,powerset(X2))|X1!=X3|~in(X4,X5)|X3!=set_difference(X4,singleton(X2))|~ordinal(X2)|~element(X5,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1759, plain, (in(X3,esk354_2(X2,X5))|in(esk352_2(X2,X5),X5)|~in(X1,powerset(X2))|X1!=X3|~in(X4,X5)|X3!=set_difference(X4,singleton(X2))|~ordinal(X2)|~element(X5,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 fof(i_0_1760, plain, ![X3217, X3218, X3219, X3220]:(empty(X3217)|empty_carrier(X3218)|~one_sorted_str(X3218)|~function(X3219)|~quasi_total(X3219,X3217,the_carrier(X3218))|~relation_of2(X3219,X3217,the_carrier(X3218))|~element(X3220,X3217)|element(apply_on_set_and_struct2(X3217,X3218,X3219,X3220),the_carrier(X3218))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_947])])).
% 282.28/198.90 fof(i_0_1761, plain, ![X3159, X3160, X3161, X3162]:(empty(X3159)|empty_carrier(X3160)|~rel_str(X3160)|~function(X3161)|~quasi_total(X3161,X3159,the_carrier(X3160))|~relation_of2(X3161,X3159,the_carrier(X3160))|~element(X3162,X3159)|element(apply_on_set_and_struct(X3159,X3160,X3161,X3162),the_carrier(X3160))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_948])])).
% 282.28/198.90 cnf(i_0_1762, plain, (esk355_3(X1,X2,X3)=X3|esk351_2(X1,X2)=set_difference(esk353_2(X1,X2),singleton(X1))|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1763, plain, (esk355_3(X1,X2,X3)=X3|esk350_2(X1,X2)=set_difference(esk352_2(X1,X2),singleton(X1))|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1764, plain, (in(X3,esk354_2(X2,X5))|esk349_2(X2,X5)=esk351_2(X2,X5)|~in(X1,powerset(X2))|X1!=X3|~in(X4,X5)|X3!=set_difference(X4,singleton(X2))|~ordinal(X2)|~element(X5,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1765, plain, (in(X3,esk354_2(X2,X5))|esk349_2(X2,X5)=esk350_2(X2,X5)|~in(X1,powerset(X2))|X1!=X3|~in(X4,X5)|X3!=set_difference(X4,singleton(X2))|~ordinal(X2)|~element(X5,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 fof(i_0_1766, plain, ![X2668, X2669, X2670, X2671, X2675]:(((element(esk58_4(X2668,X2669,X2670,X2671),the_carrier(X2668))|(~in(X2670,X2669)|~in(X2671,X2669))|~element(X2671,the_carrier(X2668))|~element(X2670,the_carrier(X2668))|~directed_subset(X2669,X2668)|~element(X2669,powerset(the_carrier(X2668)))|~rel_str(X2668))&(((in(esk58_4(X2668,X2669,X2670,X2671),X2669)|(~in(X2670,X2669)|~in(X2671,X2669))|~element(X2671,the_carrier(X2668))|~element(X2670,the_carrier(X2668))|~directed_subset(X2669,X2668)|~element(X2669,powerset(the_carrier(X2668)))|~rel_str(X2668))&(related(X2668,X2670,esk58_4(X2668,X2669,X2670,X2671))|(~in(X2670,X2669)|~in(X2671,X2669))|~element(X2671,the_carrier(X2668))|~element(X2670,the_carrier(X2668))|~directed_subset(X2669,X2668)|~element(X2669,powerset(the_carrier(X2668)))|~rel_str(X2668)))&(related(X2668,X2671,esk58_4(X2668,X2669,X2670,X2671))|(~in(X2670,X2669)|~in(X2671,X2669))|~element(X2671,the_carrier(X2668))|~element(X2670,the_carrier(X2668))|~directed_subset(X2669,X2668)|~element(X2669,powerset(the_carrier(X2668)))|~rel_str(X2668))))&((element(esk59_2(X2668,X2669),the_carrier(X2668))|directed_subset(X2669,X2668)|~element(X2669,powerset(the_carrier(X2668)))|~rel_str(X2668))&((element(esk60_2(X2668,X2669),the_carrier(X2668))|directed_subset(X2669,X2668)|~element(X2669,powerset(the_carrier(X2668)))|~rel_str(X2668))&(((in(esk59_2(X2668,X2669),X2669)|directed_subset(X2669,X2668)|~element(X2669,powerset(the_carrier(X2668)))|~rel_str(X2668))&(in(esk60_2(X2668,X2669),X2669)|directed_subset(X2669,X2668)|~element(X2669,powerset(the_carrier(X2668)))|~rel_str(X2668)))&(~element(X2675,the_carrier(X2668))|(~in(X2675,X2669)|~related(X2668,esk59_2(X2668,X2669),X2675)|~related(X2668,esk60_2(X2668,X2669),X2675))|directed_subset(X2669,X2668)|~element(X2669,powerset(the_carrier(X2668)))|~rel_str(X2668)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel_0])])])])])).
% 282.28/198.90 cnf(i_0_1767, plain, (esk295_4(X1,X2,X3,X4)=X4|ordered_pair(esk291_2(X1,X2),esk292_2(X1,X2))=esk287_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1768, plain, (esk295_4(X1,X2,X3,X4)=X4|ordered_pair(esk288_2(X1,X2),esk289_2(X1,X2))=esk286_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880])).
% 282.28/198.90 cnf(i_0_1769, lemma, (in(esk442_3(X1,X2,X3),X2)|~in(X3,esk441_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_946])).
% 282.28/198.90 fof(i_0_1770, plain, ![X2599, X2600, X2601, X2602]:(((the_carrier(X2600)=powerset(X2599)|X2600!=boole_lattice(X2599)|(~strict_latt_str(X2600)|~latt_str(X2600)))&((apply_binary(the_L_join(X2600),X2601,X2602)=subset_union2(X2599,X2601,X2602)|~element(X2602,powerset(X2599))|~element(X2601,powerset(X2599))|X2600!=boole_lattice(X2599)|(~strict_latt_str(X2600)|~latt_str(X2600)))&(apply_binary(the_L_meet(X2600),X2601,X2602)=subset_intersection2(X2599,X2601,X2602)|~element(X2602,powerset(X2599))|~element(X2601,powerset(X2599))|X2600!=boole_lattice(X2599)|(~strict_latt_str(X2600)|~latt_str(X2600)))))&((element(esk42_2(X2599,X2600),powerset(X2599))|the_carrier(X2600)!=powerset(X2599)|X2600=boole_lattice(X2599)|(~strict_latt_str(X2600)|~latt_str(X2600)))&((element(esk43_2(X2599,X2600),powerset(X2599))|the_carrier(X2600)!=powerset(X2599)|X2600=boole_lattice(X2599)|(~strict_latt_str(X2600)|~latt_str(X2600)))&(apply_binary(the_L_join(X2600),esk42_2(X2599,X2600),esk43_2(X2599,X2600))!=subset_union2(X2599,esk42_2(X2599,X2600),esk43_2(X2599,X2600))|apply_binary(the_L_meet(X2600),esk42_2(X2599,X2600),esk43_2(X2599,X2600))!=subset_intersection2(X2599,esk42_2(X2599,X2600),esk43_2(X2599,X2600))|the_carrier(X2600)!=powerset(X2599)|X2600=boole_lattice(X2599)|(~strict_latt_str(X2600)|~latt_str(X2600)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_lattice3])])])])])).
% 282.28/198.90 cnf(i_0_1771, plain, (in(esk282_3(X1,X2,X3),X1)|in(ordered_pair(esk278_2(X1,X2),X4),X2)|empty(X1)|~in(X3,esk281_2(X1,X2))|~in(X4,esk280_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1772, plain, (in(esk282_3(X1,X2,X3),X1)|in(ordered_pair(esk277_2(X1,X2),X4),X2)|empty(X1)|~in(X3,esk281_2(X1,X2))|~in(X4,esk279_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1773, plain, (in(X1,esk283_3(X2,X3,X1))|in(ordered_pair(esk278_2(X2,X3),X4),X3)|empty(X2)|~in(X1,esk281_2(X2,X3))|~in(X4,esk280_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1774, plain, (in(X1,esk283_3(X2,X3,X1))|in(ordered_pair(esk277_2(X2,X3),X4),X3)|empty(X2)|~in(X1,esk281_2(X2,X3))|~in(X4,esk279_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 fof(i_0_1775, plain, ![X3223, X3224, X3225, X3226]:(empty(X3223)|~function(X3225)|~quasi_total(X3225,X3223,X3224)|~relation_of2(X3225,X3223,X3224)|~element(X3226,X3223)|element(apply_as_element(X3223,X3224,X3225,X3226),X3224)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_949])])).
% 282.28/198.90 cnf(i_0_1776, plain, (esk355_3(X1,X2,X3)=X3|~in(X3,esk354_2(X1,X2))|esk350_2(X1,X2)!=esk351_2(X1,X2)|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1777, lemma, (esk263_4(X1,X2,X3,X4)=X3|in(ordered_pair(X3,X4),esk262_2(X1,X2))|esk261_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X5,powerset(the_carrier(X1)))|X5!=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1778, lemma, (esk263_4(X1,X2,X3,X4)=X3|in(ordered_pair(X3,X4),esk262_2(X1,X2))|esk260_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X5,powerset(the_carrier(X1)))|X5!=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1779, lemma, (in(X1,esk441_2(X2,X4))|~in(X1,powerset(X2))|~in(X3,X4)|X1!=set_difference(X3,singleton(X2))|~ordinal(X2)|~element(X4,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_946])).
% 282.28/198.90 fof(i_0_1780, plain, ![X3035, X3036, X3037, X3038]:(((~in(X3038,X3037)|in(subset_complement(X3035,X3038),X3036)|~element(X3038,powerset(X3035))|X3037!=complements_of_subsets(X3035,X3036)|~element(X3037,powerset(powerset(X3035)))|~element(X3036,powerset(powerset(X3035))))&(~in(subset_complement(X3035,X3038),X3036)|in(X3038,X3037)|~element(X3038,powerset(X3035))|X3037!=complements_of_subsets(X3035,X3036)|~element(X3037,powerset(powerset(X3035)))|~element(X3036,powerset(powerset(X3035)))))&((element(esk144_3(X3035,X3036,X3037),powerset(X3035))|X3037=complements_of_subsets(X3035,X3036)|~element(X3037,powerset(powerset(X3035)))|~element(X3036,powerset(powerset(X3035))))&((~in(esk144_3(X3035,X3036,X3037),X3037)|~in(subset_complement(X3035,esk144_3(X3035,X3036,X3037)),X3036)|X3037=complements_of_subsets(X3035,X3036)|~element(X3037,powerset(powerset(X3035)))|~element(X3036,powerset(powerset(X3035))))&(in(esk144_3(X3035,X3036,X3037),X3037)|in(subset_complement(X3035,esk144_3(X3035,X3036,X3037)),X3036)|X3037=complements_of_subsets(X3035,X3036)|~element(X3037,powerset(powerset(X3035)))|~element(X3036,powerset(powerset(X3035))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_setfam_1])])])])])).
% 282.28/198.90 cnf(i_0_1781, plain, (esk355_3(X1,X2,X3)=X3|in(esk353_2(X1,X2),X2)|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1782, plain, (esk355_3(X1,X2,X3)=X3|in(esk352_2(X1,X2),X2)|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 fof(i_0_1783, plain, ![X2499, X2500, X2501, X2502, X2503, X2507]:(((~in(X2502,X2501)|(~element(X2503,powerset(the_carrier(X2499)))|(~open_subset(X2503,X2499)|~in(X2502,X2503)|~disjoint(X2500,X2503)))|~in(X2502,the_carrier(X2499))|X2501!=topstr_closure(X2499,X2500)|~element(X2501,powerset(the_carrier(X2499)))|~element(X2500,powerset(the_carrier(X2499)))|~top_str(X2499))&((element(esk22_4(X2499,X2500,X2501,X2502),powerset(the_carrier(X2499)))|in(X2502,X2501)|~in(X2502,the_carrier(X2499))|X2501!=topstr_closure(X2499,X2500)|~element(X2501,powerset(the_carrier(X2499)))|~element(X2500,powerset(the_carrier(X2499)))|~top_str(X2499))&(((open_subset(esk22_4(X2499,X2500,X2501,X2502),X2499)|in(X2502,X2501)|~in(X2502,the_carrier(X2499))|X2501!=topstr_closure(X2499,X2500)|~element(X2501,powerset(the_carrier(X2499)))|~element(X2500,powerset(the_carrier(X2499)))|~top_str(X2499))&(in(X2502,esk22_4(X2499,X2500,X2501,X2502))|in(X2502,X2501)|~in(X2502,the_carrier(X2499))|X2501!=topstr_closure(X2499,X2500)|~element(X2501,powerset(the_carrier(X2499)))|~element(X2500,powerset(the_carrier(X2499)))|~top_str(X2499)))&(disjoint(X2500,esk22_4(X2499,X2500,X2501,X2502))|in(X2502,X2501)|~in(X2502,the_carrier(X2499))|X2501!=topstr_closure(X2499,X2500)|~element(X2501,powerset(the_carrier(X2499)))|~element(X2500,powerset(the_carrier(X2499)))|~top_str(X2499)))))&((in(esk23_3(X2499,X2500,X2501),the_carrier(X2499))|X2501=topstr_closure(X2499,X2500)|~element(X2501,powerset(the_carrier(X2499)))|~element(X2500,powerset(the_carrier(X2499)))|~top_str(X2499))&(((element(esk24_3(X2499,X2500,X2501),powerset(the_carrier(X2499)))|~in(esk23_3(X2499,X2500,X2501),X2501)|X2501=topstr_closure(X2499,X2500)|~element(X2501,powerset(the_carrier(X2499)))|~element(X2500,powerset(the_carrier(X2499)))|~top_str(X2499))&(((open_subset(esk24_3(X2499,X2500,X2501),X2499)|~in(esk23_3(X2499,X2500,X2501),X2501)|X2501=topstr_closure(X2499,X2500)|~element(X2501,powerset(the_carrier(X2499)))|~element(X2500,powerset(the_carrier(X2499)))|~top_str(X2499))&(in(esk23_3(X2499,X2500,X2501),esk24_3(X2499,X2500,X2501))|~in(esk23_3(X2499,X2500,X2501),X2501)|X2501=topstr_closure(X2499,X2500)|~element(X2501,powerset(the_carrier(X2499)))|~element(X2500,powerset(the_carrier(X2499)))|~top_str(X2499)))&(disjoint(X2500,esk24_3(X2499,X2500,X2501))|~in(esk23_3(X2499,X2500,X2501),X2501)|X2501=topstr_closure(X2499,X2500)|~element(X2501,powerset(the_carrier(X2499)))|~element(X2500,powerset(the_carrier(X2499)))|~top_str(X2499))))&(in(esk23_3(X2499,X2500,X2501),X2501)|(~element(X2507,powerset(the_carrier(X2499)))|(~open_subset(X2507,X2499)|~in(esk23_3(X2499,X2500,X2501),X2507)|~disjoint(X2500,X2507)))|X2501=topstr_closure(X2499,X2500)|~element(X2501,powerset(the_carrier(X2499)))|~element(X2500,powerset(the_carrier(X2499)))|~top_str(X2499))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_pre_topc])])])])])).
% 282.28/198.90 cnf(i_0_1784, plain, (esk282_3(X1,X2,X3)=esk283_3(X1,X2,X3)|in(ordered_pair(esk278_2(X1,X2),X4),X2)|empty(X1)|~in(X3,esk281_2(X1,X2))|~in(X4,esk280_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1785, plain, (esk282_3(X1,X2,X3)=esk283_3(X1,X2,X3)|in(ordered_pair(esk277_2(X1,X2),X4),X2)|empty(X1)|~in(X3,esk281_2(X1,X2))|~in(X4,esk279_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 fof(i_0_1786, plain, ![X3380, X3381, X3382]:((~empty_carrier(latt_str_of(X3380,X3381,X3382))|(empty(X3380)|~function(X3381)|~quasi_total(X3381,cartesian_product2(X3380,X3380),X3380)|~relation_of2(X3381,cartesian_product2(X3380,X3380),X3380)|~function(X3382)|~quasi_total(X3382,cartesian_product2(X3380,X3380),X3380)|~relation_of2(X3382,cartesian_product2(X3380,X3380),X3380)))&(strict_latt_str(latt_str_of(X3380,X3381,X3382))|(empty(X3380)|~function(X3381)|~quasi_total(X3381,cartesian_product2(X3380,X3380),X3380)|~relation_of2(X3381,cartesian_product2(X3380,X3380),X3380)|~function(X3382)|~quasi_total(X3382,cartesian_product2(X3380,X3380),X3380)|~relation_of2(X3382,cartesian_product2(X3380,X3380),X3380)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_950])])])).
% 282.28/198.90 fof(i_0_1787, lemma, ![X4412, X4413, X4414, X4415, X4416]:(empty_carrier(X4412)|~one_sorted_str(X4412)|(empty_carrier(X4413)|~directed_relstr(X4413)|~net_str(X4413,X4412)|(~element(X4414,the_carrier(X4413))|(~element(X4415,the_carrier(X4413))|(~element(X4416,the_carrier(netstr_restr_to_element(X4412,X4413,X4414)))|(X4415!=X4416|apply_netmap(X4412,X4413,X4415)=apply_netmap(X4412,netstr_restr_to_element(X4412,X4413,X4414),X4416))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_951])])])).
% 282.28/198.90 fof(i_0_1788, plain, ![X3469, X3470, X3471, X3472, X3473, X3474]:(((X3469=X3472|latt_str_of(X3469,X3470,X3471)!=latt_str_of(X3472,X3473,X3474)|(~function(X3470)|~quasi_total(X3470,cartesian_product2(X3469,X3469),X3469)|~relation_of2(X3470,cartesian_product2(X3469,X3469),X3469)|~function(X3471)|~quasi_total(X3471,cartesian_product2(X3469,X3469),X3469)|~relation_of2(X3471,cartesian_product2(X3469,X3469),X3469)))&(X3470=X3473|latt_str_of(X3469,X3470,X3471)!=latt_str_of(X3472,X3473,X3474)|(~function(X3470)|~quasi_total(X3470,cartesian_product2(X3469,X3469),X3469)|~relation_of2(X3470,cartesian_product2(X3469,X3469),X3469)|~function(X3471)|~quasi_total(X3471,cartesian_product2(X3469,X3469),X3469)|~relation_of2(X3471,cartesian_product2(X3469,X3469),X3469))))&(X3471=X3474|latt_str_of(X3469,X3470,X3471)!=latt_str_of(X3472,X3473,X3474)|(~function(X3470)|~quasi_total(X3470,cartesian_product2(X3469,X3469),X3469)|~relation_of2(X3470,cartesian_product2(X3469,X3469),X3469)|~function(X3471)|~quasi_total(X3471,cartesian_product2(X3469,X3469),X3469)|~relation_of2(X3471,cartesian_product2(X3469,X3469),X3469)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])])).
% 282.28/198.90 cnf(i_0_1789, plain, (in(ordered_pair(X3,X5),X1)|~is_transitive_in(X1,X2)|~in(X3,X2)|~in(X4,X2)|~in(X5,X2)|~in(ordered_pair(X3,X4),X1)|~in(ordered_pair(X4,X5),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_940])).
% 282.28/198.90 cnf(i_0_1790, plain, (esk355_3(X1,X2,X3)=X3|esk349_2(X1,X2)=esk351_2(X1,X2)|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1791, plain, (esk355_3(X1,X2,X3)=X3|esk349_2(X1,X2)=esk350_2(X1,X2)|~in(X3,esk354_2(X1,X2))|~ordinal(X1)|~element(X2,powerset(powerset(succ(X1))))), inference(split_conjunct,[status(thm)],[i_0_942])).
% 282.28/198.90 cnf(i_0_1792, lemma, (relstr_set_smaller(X1,X2,esk461_3(X1,X3,X2))|relstr_set_smaller(X1,esk459_3(X1,X3,X2),esk460_3(X1,X3,X2))|empty_carrier(X1)|~finite(X2)|~element(X4,the_carrier(X1))|~in(X4,X3)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X3,powerset(the_carrier(X1)))|~finite(X2)|~element(X2,powerset(X3))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 cnf(i_0_1793, lemma, (esk263_4(X1,X2,X3,X4)=X3|in(ordered_pair(X3,X4),esk262_2(X1,X2))|in(esk259_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1794, lemma, (esk263_4(X1,X2,X3,X4)=X3|in(ordered_pair(X3,X4),esk262_2(X1,X2))|in(esk259_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 fof(i_0_1795, plain, ![X2522, X2523, X2524, X2525]:((((full_subrelstr(X2525,X2523)|X2525!=preimage_subnetstr(X2522,X2523,X2524)|(~strict_net_str(X2525,X2522)|~subnetstr(X2525,X2522,X2523))|~net_str(X2523,X2522)|~one_sorted_str(X2522))&(subrelstr(X2525,X2523)|X2525!=preimage_subnetstr(X2522,X2523,X2524)|(~strict_net_str(X2525,X2522)|~subnetstr(X2525,X2522,X2523))|~net_str(X2523,X2522)|~one_sorted_str(X2522)))&(the_carrier(X2525)=function_invverse_img_as_carrier_subset(X2523,X2522,the_mapping(X2522,X2523),X2524)|X2525!=preimage_subnetstr(X2522,X2523,X2524)|(~strict_net_str(X2525,X2522)|~subnetstr(X2525,X2522,X2523))|~net_str(X2523,X2522)|~one_sorted_str(X2522)))&(~full_subrelstr(X2525,X2523)|~subrelstr(X2525,X2523)|the_carrier(X2525)!=function_invverse_img_as_carrier_subset(X2523,X2522,the_mapping(X2522,X2523),X2524)|X2525=preimage_subnetstr(X2522,X2523,X2524)|(~strict_net_str(X2525,X2522)|~subnetstr(X2525,X2522,X2523))|~net_str(X2523,X2522)|~one_sorted_str(X2522))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_yellow_6])])])])).
% 282.28/198.90 fof(i_0_1796, plain, ![X2984, X2985, X2987, X2988, X2990, X2991, X2994]:(((((element(esk128_2(X2984,X2985),the_carrier(X2984))|~ex_sup_of_relstr_set(X2984,X2985)|~rel_str(X2984))&(relstr_set_smaller(X2984,X2985,esk128_2(X2984,X2985))|~ex_sup_of_relstr_set(X2984,X2985)|~rel_str(X2984)))&(~element(X2987,the_carrier(X2984))|(~relstr_set_smaller(X2984,X2985,X2987)|related(X2984,esk128_2(X2984,X2985),X2987))|~ex_sup_of_relstr_set(X2984,X2985)|~rel_str(X2984)))&((element(esk129_3(X2984,X2985,X2988),the_carrier(X2984))|~relstr_set_smaller(X2984,X2985,X2988)|X2988=esk128_2(X2984,X2985)|~element(X2988,the_carrier(X2984))|~ex_sup_of_relstr_set(X2984,X2985)|~rel_str(X2984))&((relstr_set_smaller(X2984,X2985,esk129_3(X2984,X2985,X2988))|~relstr_set_smaller(X2984,X2985,X2988)|X2988=esk128_2(X2984,X2985)|~element(X2988,the_carrier(X2984))|~ex_sup_of_relstr_set(X2984,X2985)|~rel_str(X2984))&(~related(X2984,X2988,esk129_3(X2984,X2985,X2988))|~relstr_set_smaller(X2984,X2985,X2988)|X2988=esk128_2(X2984,X2985)|~element(X2988,the_carrier(X2984))|~ex_sup_of_relstr_set(X2984,X2985)|~rel_str(X2984)))))&(((element(esk131_3(X2984,X2990,X2991),the_carrier(X2984))|(element(esk130_3(X2984,X2990,X2991),the_carrier(X2984))|(~element(X2991,the_carrier(X2984))|~relstr_set_smaller(X2984,X2990,X2991)))|ex_sup_of_relstr_set(X2984,X2990)|~rel_str(X2984))&(((relstr_set_smaller(X2984,X2990,esk131_3(X2984,X2990,X2991))|(element(esk130_3(X2984,X2990,X2991),the_carrier(X2984))|(~element(X2991,the_carrier(X2984))|~relstr_set_smaller(X2984,X2990,X2991)))|ex_sup_of_relstr_set(X2984,X2990)|~rel_str(X2984))&(~element(X2994,the_carrier(X2984))|(~relstr_set_smaller(X2984,X2990,X2994)|related(X2984,esk131_3(X2984,X2990,X2991),X2994))|(element(esk130_3(X2984,X2990,X2991),the_carrier(X2984))|(~element(X2991,the_carrier(X2984))|~relstr_set_smaller(X2984,X2990,X2991)))|ex_sup_of_relstr_set(X2984,X2990)|~rel_str(X2984)))&(esk131_3(X2984,X2990,X2991)!=X2991|(element(esk130_3(X2984,X2990,X2991),the_carrier(X2984))|(~element(X2991,the_carrier(X2984))|~relstr_set_smaller(X2984,X2990,X2991)))|ex_sup_of_relstr_set(X2984,X2990)|~rel_str(X2984))))&(((element(esk131_3(X2984,X2990,X2991),the_carrier(X2984))|(relstr_set_smaller(X2984,X2990,esk130_3(X2984,X2990,X2991))|(~element(X2991,the_carrier(X2984))|~relstr_set_smaller(X2984,X2990,X2991)))|ex_sup_of_relstr_set(X2984,X2990)|~rel_str(X2984))&(((relstr_set_smaller(X2984,X2990,esk131_3(X2984,X2990,X2991))|(relstr_set_smaller(X2984,X2990,esk130_3(X2984,X2990,X2991))|(~element(X2991,the_carrier(X2984))|~relstr_set_smaller(X2984,X2990,X2991)))|ex_sup_of_relstr_set(X2984,X2990)|~rel_str(X2984))&(~element(X2994,the_carrier(X2984))|(~relstr_set_smaller(X2984,X2990,X2994)|related(X2984,esk131_3(X2984,X2990,X2991),X2994))|(relstr_set_smaller(X2984,X2990,esk130_3(X2984,X2990,X2991))|(~element(X2991,the_carrier(X2984))|~relstr_set_smaller(X2984,X2990,X2991)))|ex_sup_of_relstr_set(X2984,X2990)|~rel_str(X2984)))&(esk131_3(X2984,X2990,X2991)!=X2991|(relstr_set_smaller(X2984,X2990,esk130_3(X2984,X2990,X2991))|(~element(X2991,the_carrier(X2984))|~relstr_set_smaller(X2984,X2990,X2991)))|ex_sup_of_relstr_set(X2984,X2990)|~rel_str(X2984))))&((element(esk131_3(X2984,X2990,X2991),the_carrier(X2984))|(~related(X2984,X2991,esk130_3(X2984,X2990,X2991))|(~element(X2991,the_carrier(X2984))|~relstr_set_smaller(X2984,X2990,X2991)))|ex_sup_of_relstr_set(X2984,X2990)|~rel_str(X2984))&(((relstr_set_smaller(X2984,X2990,esk131_3(X2984,X2990,X2991))|(~related(X2984,X2991,esk130_3(X2984,X2990,X2991))|(~element(X2991,the_carrier(X2984))|~relstr_set_smaller(X2984,X2990,X2991)))|ex_sup_of_relstr_set(X2984,X2990)|~rel_str(X2984))&(~element(X2994,the_carrier(X2984))|(~relstr_set_smaller(X2984,X2990,X2994)|related(X2984,esk131_3(X2984,X2990,X2991),X2994))|(~related(X2984,X2991,esk130_3(X2984,X2990,X2991))|(~element(X2991,the_carrier(X2984))|~relstr_set_smaller(X2984,X2990,X2991)))|ex_sup_of_relstr_set(X2984,X2990)|~rel_str(X2984)))&(esk131_3(X2984,X2990,X2991)!=X2991|(~related(X2984,X2991,esk130_3(X2984,X2990,X2991))|(~element(X2991,the_carrier(X2984))|~relstr_set_smaller(X2984,X2990,X2991)))|ex_sup_of_relstr_set(X2984,X2990)|~rel_str(X2984))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_yellow_0])])])])])])).
% 282.28/198.90 fof(i_0_1797, plain, ![X3045, X3046, X3048, X3049, X3051, X3052, X3055]:(((((element(esk145_2(X3045,X3046),the_carrier(X3045))|~ex_inf_of_relstr_set(X3045,X3046)|~rel_str(X3045))&(relstr_element_smaller(X3045,X3046,esk145_2(X3045,X3046))|~ex_inf_of_relstr_set(X3045,X3046)|~rel_str(X3045)))&(~element(X3048,the_carrier(X3045))|(~relstr_element_smaller(X3045,X3046,X3048)|related(X3045,X3048,esk145_2(X3045,X3046)))|~ex_inf_of_relstr_set(X3045,X3046)|~rel_str(X3045)))&((element(esk146_3(X3045,X3046,X3049),the_carrier(X3045))|~relstr_element_smaller(X3045,X3046,X3049)|X3049=esk145_2(X3045,X3046)|~element(X3049,the_carrier(X3045))|~ex_inf_of_relstr_set(X3045,X3046)|~rel_str(X3045))&((relstr_element_smaller(X3045,X3046,esk146_3(X3045,X3046,X3049))|~relstr_element_smaller(X3045,X3046,X3049)|X3049=esk145_2(X3045,X3046)|~element(X3049,the_carrier(X3045))|~ex_inf_of_relstr_set(X3045,X3046)|~rel_str(X3045))&(~related(X3045,esk146_3(X3045,X3046,X3049),X3049)|~relstr_element_smaller(X3045,X3046,X3049)|X3049=esk145_2(X3045,X3046)|~element(X3049,the_carrier(X3045))|~ex_inf_of_relstr_set(X3045,X3046)|~rel_str(X3045)))))&(((element(esk148_3(X3045,X3051,X3052),the_carrier(X3045))|(element(esk147_3(X3045,X3051,X3052),the_carrier(X3045))|(~element(X3052,the_carrier(X3045))|~relstr_element_smaller(X3045,X3051,X3052)))|ex_inf_of_relstr_set(X3045,X3051)|~rel_str(X3045))&(((relstr_element_smaller(X3045,X3051,esk148_3(X3045,X3051,X3052))|(element(esk147_3(X3045,X3051,X3052),the_carrier(X3045))|(~element(X3052,the_carrier(X3045))|~relstr_element_smaller(X3045,X3051,X3052)))|ex_inf_of_relstr_set(X3045,X3051)|~rel_str(X3045))&(~element(X3055,the_carrier(X3045))|(~relstr_element_smaller(X3045,X3051,X3055)|related(X3045,X3055,esk148_3(X3045,X3051,X3052)))|(element(esk147_3(X3045,X3051,X3052),the_carrier(X3045))|(~element(X3052,the_carrier(X3045))|~relstr_element_smaller(X3045,X3051,X3052)))|ex_inf_of_relstr_set(X3045,X3051)|~rel_str(X3045)))&(esk148_3(X3045,X3051,X3052)!=X3052|(element(esk147_3(X3045,X3051,X3052),the_carrier(X3045))|(~element(X3052,the_carrier(X3045))|~relstr_element_smaller(X3045,X3051,X3052)))|ex_inf_of_relstr_set(X3045,X3051)|~rel_str(X3045))))&(((element(esk148_3(X3045,X3051,X3052),the_carrier(X3045))|(relstr_element_smaller(X3045,X3051,esk147_3(X3045,X3051,X3052))|(~element(X3052,the_carrier(X3045))|~relstr_element_smaller(X3045,X3051,X3052)))|ex_inf_of_relstr_set(X3045,X3051)|~rel_str(X3045))&(((relstr_element_smaller(X3045,X3051,esk148_3(X3045,X3051,X3052))|(relstr_element_smaller(X3045,X3051,esk147_3(X3045,X3051,X3052))|(~element(X3052,the_carrier(X3045))|~relstr_element_smaller(X3045,X3051,X3052)))|ex_inf_of_relstr_set(X3045,X3051)|~rel_str(X3045))&(~element(X3055,the_carrier(X3045))|(~relstr_element_smaller(X3045,X3051,X3055)|related(X3045,X3055,esk148_3(X3045,X3051,X3052)))|(relstr_element_smaller(X3045,X3051,esk147_3(X3045,X3051,X3052))|(~element(X3052,the_carrier(X3045))|~relstr_element_smaller(X3045,X3051,X3052)))|ex_inf_of_relstr_set(X3045,X3051)|~rel_str(X3045)))&(esk148_3(X3045,X3051,X3052)!=X3052|(relstr_element_smaller(X3045,X3051,esk147_3(X3045,X3051,X3052))|(~element(X3052,the_carrier(X3045))|~relstr_element_smaller(X3045,X3051,X3052)))|ex_inf_of_relstr_set(X3045,X3051)|~rel_str(X3045))))&((element(esk148_3(X3045,X3051,X3052),the_carrier(X3045))|(~related(X3045,esk147_3(X3045,X3051,X3052),X3052)|(~element(X3052,the_carrier(X3045))|~relstr_element_smaller(X3045,X3051,X3052)))|ex_inf_of_relstr_set(X3045,X3051)|~rel_str(X3045))&(((relstr_element_smaller(X3045,X3051,esk148_3(X3045,X3051,X3052))|(~related(X3045,esk147_3(X3045,X3051,X3052),X3052)|(~element(X3052,the_carrier(X3045))|~relstr_element_smaller(X3045,X3051,X3052)))|ex_inf_of_relstr_set(X3045,X3051)|~rel_str(X3045))&(~element(X3055,the_carrier(X3045))|(~relstr_element_smaller(X3045,X3051,X3055)|related(X3045,X3055,esk148_3(X3045,X3051,X3052)))|(~related(X3045,esk147_3(X3045,X3051,X3052),X3052)|(~element(X3052,the_carrier(X3045))|~relstr_element_smaller(X3045,X3051,X3052)))|ex_inf_of_relstr_set(X3045,X3051)|~rel_str(X3045)))&(esk148_3(X3045,X3051,X3052)!=X3052|(~related(X3045,esk147_3(X3045,X3051,X3052),X3052)|(~element(X3052,the_carrier(X3045))|~relstr_element_smaller(X3045,X3051,X3052)))|ex_inf_of_relstr_set(X3045,X3051)|~rel_str(X3045))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_yellow_0])])])])])])).
% 282.28/198.90 fof(i_0_1798, plain, ![X3091, X3092, X3093, X3094]:(empty_carrier(X3091)|~lattice(X3091)|~latt_str(X3091)|empty_carrier(X3092)|~lattice(X3092)|~latt_str(X3092)|~element(X3093,the_carrier(X3091))|~element(X3094,the_carrier(X3092))|element(k10_filter_1(X3091,X3092,X3093,X3094),the_carrier(k8_filter_1(X3091,X3092)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_952])])).
% 282.28/198.90 cnf(i_0_1799, plain, (in(ordered_pair(esk62_2(X1,X2),esk63_2(X1,X2)),X2)|subset(esk62_2(X1,X2),esk63_2(X1,X2))|X2=inclusion_relation(X1)|relation_field(X2)!=X1|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_931])).
% 282.28/198.90 cnf(i_0_1800, lemma, (X1=esk470_3(X2,X3,X1)|in(esk467_2(X2,X3),X2)|in(ordered_pair(esk464_2(X2,X3),X4),X3)|empty(X2)|~in(X1,X2)|~in(X4,esk466_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1801, lemma, (X1=esk470_3(X2,X3,X1)|in(esk467_2(X2,X3),X2)|in(ordered_pair(esk463_2(X2,X3),X4),X3)|empty(X2)|~in(X1,X2)|~in(X4,esk465_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1802, lemma, (esk268_4(X1,X2,X3,X4)=X3|in(ordered_pair(X3,X4),esk267_2(X1,X2))|esk266_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X3,X2)|~element(X5,powerset(the_carrier(X1)))|X5!=esk264_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1803, lemma, (esk268_4(X1,X2,X3,X4)=X3|in(ordered_pair(X3,X4),esk267_2(X1,X2))|esk265_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X3,X2)|~element(X5,powerset(the_carrier(X1)))|X5!=esk264_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1804, lemma, (element(esk461_3(X1,X2,X3),the_carrier(X1))|relstr_set_smaller(X1,esk459_3(X1,X2,X3),esk460_3(X1,X2,X3))|empty_carrier(X1)|~finite(X3)|~element(X4,the_carrier(X1))|~in(X4,X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 cnf(i_0_1805, lemma, (esk263_4(X1,X2,X3,X4)=X3|in(ordered_pair(X3,X4),esk262_2(X1,X2))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|esk260_2(X1,X2)!=esk261_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1806, plain, (in(ordered_pair(X1,X4),X6)|~in(ordered_pair(X1,X2),X3)|~in(ordered_pair(X2,X4),X5)|X6!=relation_composition(X3,X5)|~relation(X6)|~relation(X5)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_884])).
% 282.28/198.90 cnf(i_0_1807, lemma, (in(ordered_pair(X1,esk504_3(X1,X2,X3)),X3)|~in(X1,relation_inverse_image(X3,X2))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_953])).
% 282.28/198.90 fof(i_0_1808, plain, ![X3134, X3135, X3136, X3137]:((function(partfun_dom_restriction(X3134,X3135,X3136,X3137))|(~function(X3136)|~relation_of2(X3136,X3134,X3135)))&(relation_of2_as_subset(partfun_dom_restriction(X3134,X3135,X3136,X3137),X3134,X3135)|(~function(X3136)|~relation_of2(X3136,X3134,X3135)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_partfun1])])])).
% 282.28/198.90 cnf(i_0_1809, lemma, (in(esk461_3(X1,X2,X3),X2)|relstr_set_smaller(X1,esk459_3(X1,X2,X3),esk460_3(X1,X2,X3))|empty_carrier(X1)|~finite(X3)|~element(X4,the_carrier(X1))|~in(X4,X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 fof(i_0_1810, plain, ![X3088, X3089, X3090]:((strict_latt_str(latt_str_of(X3088,X3089,X3090))|(~function(X3089)|~quasi_total(X3089,cartesian_product2(X3088,X3088),X3088)|~relation_of2(X3089,cartesian_product2(X3088,X3088),X3088)|~function(X3090)|~quasi_total(X3090,cartesian_product2(X3088,X3088),X3088)|~relation_of2(X3090,cartesian_product2(X3088,X3088),X3088)))&(latt_str(latt_str_of(X3088,X3089,X3090))|(~function(X3089)|~quasi_total(X3089,cartesian_product2(X3088,X3088),X3088)|~relation_of2(X3089,cartesian_product2(X3088,X3088),X3088)|~function(X3090)|~quasi_total(X3090,cartesian_product2(X3088,X3088),X3088)|~relation_of2(X3090,cartesian_product2(X3088,X3088),X3088)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])])).
% 282.28/198.90 fof(i_0_1811, plain, ![X3229, X3230, X3231, X3232]:(~relation_of2(X3231,X3229,X3230)|relation_of2_as_subset(relation_dom_restr_as_relation_of(X3229,X3230,X3231,X3232),X3229,X3230)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relset_1])])).
% 282.28/198.90 cnf(i_0_1812, lemma, (in(X1,powerset(X2))|~in(X1,esk441_2(X2,X3))|~ordinal(X2)|~element(X3,powerset(powerset(succ(X2))))), inference(split_conjunct,[status(thm)],[i_0_946])).
% 282.28/198.90 cnf(i_0_1813, plain, (X3=set_intersection2(X1,X2)|~in(esk97_3(X1,X2,X3),X3)|~in(esk97_3(X1,X2,X3),X1)|~in(esk97_3(X1,X2,X3),X2)), inference(split_conjunct,[status(thm)],[i_0_954])).
% 282.28/198.90 cnf(i_0_1814, lemma, (set_difference(X1,set_difference(X1,X2))=set_intersection2(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_955])).
% 282.28/198.90 cnf(i_0_1815, plain, (in(esk114_2(X1,X2),X2)|in(ordered_pair(esk115_2(X1,X2),esk114_2(X1,X2)),X1)|X2=relation_rng(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_918])).
% 282.28/198.90 cnf(i_0_1816, plain, (in(esk99_2(X1,X2),X2)|in(ordered_pair(esk99_2(X1,X2),esk100_2(X1,X2)),X1)|X2=relation_dom(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_944])).
% 282.28/198.90 cnf(i_0_1817, plain, (in(esk1_2(X1,X2),X1)|in(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X2)|X2=identity_relation(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_934])).
% 282.28/198.90 cnf(i_0_1818, lemma, (in(ordered_pair(X2,X4),X1)|~transitive(X1)|~in(ordered_pair(X2,X3),X1)|~in(ordered_pair(X3,X4),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_956])).
% 282.28/198.90 fof(i_0_1819, plain, ![X3056, X3057, X3058]:(((subrelstr(X3058,X3057)|~subnetstr(X3058,X3056,X3057)|~net_str(X3058,X3056)|~net_str(X3057,X3056)|~one_sorted_str(X3056))&(the_mapping(X3056,X3058)=relation_dom_restr_as_relation_of(the_carrier(X3057),the_carrier(X3056),the_mapping(X3056,X3057),the_carrier(X3058))|~subnetstr(X3058,X3056,X3057)|~net_str(X3058,X3056)|~net_str(X3057,X3056)|~one_sorted_str(X3056)))&(~subrelstr(X3058,X3057)|the_mapping(X3056,X3058)!=relation_dom_restr_as_relation_of(the_carrier(X3057),the_carrier(X3056),the_mapping(X3056,X3057),the_carrier(X3058))|subnetstr(X3058,X3056,X3057)|~net_str(X3058,X3056)|~net_str(X3057,X3056)|~one_sorted_str(X3056))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_yellow_6])])])])).
% 282.28/198.90 cnf(i_0_1820, plain, (in(ordered_pair(X1,esk98_3(X3,X2,X1)),X3)|~in(X1,X2)|X2!=relation_dom(X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_944])).
% 282.28/198.90 fof(i_0_1821, lemma, ![X4247, X4248, X4252, X4253, X4255, X4258, X4259]:((((((((relation(esk481_2(X4247,X4248))|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(((((relation(esk481_2(X4247,X4248))|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(((((relation(esk481_2(X4247,X4248))|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&((((relation(esk481_2(X4247,X4248))|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|in(esk476_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248)))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))))))&(((((relation(esk481_2(X4247,X4248))|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(((((relation(esk481_2(X4247,X4248))|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(((((relation(esk481_2(X4247,X4248))|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&((((relation(esk481_2(X4247,X4248))|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|(~element(X4252,powerset(the_carrier(X4247)))|(X4252!=esk476_2(X4247,X4248)|esk477_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4252))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))))))&(((((relation(esk481_2(X4247,X4248))|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(((((relation(esk481_2(X4247,X4248))|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(((((relation(esk481_2(X4247,X4248))|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&((((relation(esk481_2(X4247,X4248))|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|(~element(X4253,powerset(the_carrier(X4247)))|(X4253!=esk476_2(X4247,X4248)|esk478_2(X4247,X4248)=subset_complement(the_carrier(X4247),X4253))))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))))))&(((((relation(esk481_2(X4247,X4248))|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(in(esk479_2(X4247,X4248),complements_of_subsets(the_carrier(X4247),X4248))|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(((((relation(esk481_2(X4247,X4248))|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(element(esk480_3(X4247,X4248,X4255),powerset(the_carrier(X4247)))|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(((((relation(esk481_2(X4247,X4248))|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(esk480_3(X4247,X4248,X4255)=esk479_2(X4247,X4248)|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&((((relation(esk481_2(X4247,X4248))|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))&(function(esk481_2(X4247,X4248))|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(relation_dom(esk481_2(X4247,X4248))=complements_of_subsets(the_carrier(X4247),X4248)|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247)))))))&(~in(X4258,complements_of_subsets(the_carrier(X4247),X4248))|(~element(X4259,powerset(the_carrier(X4247)))|(X4259!=X4258|apply(esk481_2(X4247,X4248),X4258)=subset_complement(the_carrier(X4247),X4259)))|(X4255!=subset_complement(the_carrier(X4247),esk480_3(X4247,X4248,X4255))|esk477_2(X4247,X4248)!=esk478_2(X4247,X4248))|(~one_sorted_str(X4247)|~element(X4248,powerset(powerset(the_carrier(X4247))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s2_funct_1__e4_7_1__tops_2])])])])])).
% 282.28/198.90 cnf(i_0_1822, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk467_2(X1,X2),X1)|in(ordered_pair(esk464_2(X1,X2),X3),X2)|empty(X1)|~in(X3,esk466_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1823, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk467_2(X1,X2),X1)|in(ordered_pair(esk463_2(X1,X2),X3),X2)|empty(X1)|~in(X3,esk465_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1824, lemma, (relation(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|in(ordered_pair(esk464_2(X1,X2),X3),X2)|empty(X1)|~in(X3,esk466_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1825, lemma, (relation(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|in(ordered_pair(esk463_2(X1,X2),X3),X2)|empty(X1)|~in(X3,esk465_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1826, lemma, (function(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|in(ordered_pair(esk464_2(X1,X2),X3),X2)|empty(X1)|~in(X3,esk466_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 cnf(i_0_1827, lemma, (function(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|in(ordered_pair(esk463_2(X1,X2),X3),X2)|empty(X1)|~in(X3,esk465_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903])).
% 282.28/198.90 fof(i_0_1828, plain, ![X3433, X3434, X3437, X3438]:(((((element(esk166_2(X3433,X3434),the_carrier(X3434))|~in(X3433,a_1_0_filter_1(X3434))|(empty_carrier(X3434)|~lattice(X3434)|~latt_str(X3434)))&(element(esk167_2(X3433,X3434),the_carrier(X3434))|~in(X3433,a_1_0_filter_1(X3434))|(empty_carrier(X3434)|~lattice(X3434)|~latt_str(X3434))))&(X3433=ordered_pair_as_product_element(the_carrier(X3434),the_carrier(X3434),esk166_2(X3433,X3434),esk167_2(X3433,X3434))|~in(X3433,a_1_0_filter_1(X3434))|(empty_carrier(X3434)|~lattice(X3434)|~latt_str(X3434))))&(below_refl(X3434,esk166_2(X3433,X3434),esk167_2(X3433,X3434))|~in(X3433,a_1_0_filter_1(X3434))|(empty_carrier(X3434)|~lattice(X3434)|~latt_str(X3434))))&(~element(X3437,the_carrier(X3434))|~element(X3438,the_carrier(X3434))|X3433!=ordered_pair_as_product_element(the_carrier(X3434),the_carrier(X3434),X3437,X3438)|~below_refl(X3434,X3437,X3438)|in(X3433,a_1_0_filter_1(X3434))|(empty_carrier(X3434)|~lattice(X3434)|~latt_str(X3434)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_957])])])])])).
% 282.28/198.90 cnf(i_0_1829, plain, (esk1_2(X1,X2)=esk2_2(X1,X2)|in(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X2)|X2=identity_relation(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_934])).
% 282.28/198.90 cnf(i_0_1830, lemma, (X1=esk253_4(X2,X3,X1,X4)|in(esk249_2(X2,X3),esk251_2(X2,X3))|empty(X2)|~in(ordered_pair(X1,X4),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1831, lemma, (X1=esk253_4(X2,X3,X1,X4)|in(esk248_2(X2,X3),esk250_2(X2,X3))|empty(X2)|~in(ordered_pair(X1,X4),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1832, plain, (in(ordered_pair(esk92_2(X1,X2),esk93_2(X1,X2)),X1)|subset(X1,X2)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_938])).
% 282.28/198.90 fof(i_0_1833, plain, ![X3101, X3102, X3103, X3104]:(empty(X3101)|empty(X3102)|~element(X3103,X3101)|~element(X3104,X3102)|element(ordered_pair_as_product_element(X3101,X3102,X3103,X3104),cartesian_product2(X3101,X3102))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_958])])).
% 282.28/198.90 cnf(i_0_1834, lemma, (esk268_4(X1,X2,X3,X4)=X3|in(ordered_pair(X3,X4),esk267_2(X1,X2))|~in(X3,X2)|esk265_2(X1,X2)!=esk266_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1835, plain, (in(ordered_pair(esk142_2(X1,X2),esk143_2(X1,X2)),X1)|is_transitive_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_940])).
% 282.28/198.90 cnf(i_0_1836, plain, (in(ordered_pair(esk141_2(X1,X2),esk142_2(X1,X2)),X1)|is_transitive_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_940])).
% 282.28/198.90 cnf(i_0_1837, plain, (in(ordered_pair(esk102_2(X1,X2),esk101_2(X1,X2)),X1)|is_antisymmetric_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_959])).
% 282.28/198.90 cnf(i_0_1838, plain, (in(ordered_pair(esk101_2(X1,X2),esk102_2(X1,X2)),X1)|is_antisymmetric_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_959])).
% 282.28/198.90 cnf(i_0_1839, lemma, (esk268_4(X1,X2,X3,X4)=X3|in(ordered_pair(X3,X4),esk267_2(X1,X2))|in(esk264_2(X1,X2),X2)|~in(X3,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1840, lemma, (esk268_4(X1,X2,X3,X4)=X3|in(ordered_pair(X3,X4),esk267_2(X1,X2))|in(esk264_2(X1,X2),X2)|~in(X3,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 fof(i_0_1841, plain, ![X2445, X2446, X2447, X2448, X2450, X2451, X2452, X2453, X2455]:(((((in(esk8_4(X2445,X2446,X2447,X2448),relation_dom(X2445))|~in(X2448,X2447)|X2447!=relation_image(X2445,X2446)|(~relation(X2445)|~function(X2445)))&(in(esk8_4(X2445,X2446,X2447,X2448),X2446)|~in(X2448,X2447)|X2447!=relation_image(X2445,X2446)|(~relation(X2445)|~function(X2445))))&(X2448=apply(X2445,esk8_4(X2445,X2446,X2447,X2448))|~in(X2448,X2447)|X2447!=relation_image(X2445,X2446)|(~relation(X2445)|~function(X2445))))&(~in(X2451,relation_dom(X2445))|~in(X2451,X2446)|X2450!=apply(X2445,X2451)|in(X2450,X2447)|X2447!=relation_image(X2445,X2446)|(~relation(X2445)|~function(X2445))))&((~in(esk9_3(X2445,X2452,X2453),X2453)|(~in(X2455,relation_dom(X2445))|~in(X2455,X2452)|esk9_3(X2445,X2452,X2453)!=apply(X2445,X2455))|X2453=relation_image(X2445,X2452)|(~relation(X2445)|~function(X2445)))&(((in(esk10_3(X2445,X2452,X2453),relation_dom(X2445))|in(esk9_3(X2445,X2452,X2453),X2453)|X2453=relation_image(X2445,X2452)|(~relation(X2445)|~function(X2445)))&(in(esk10_3(X2445,X2452,X2453),X2452)|in(esk9_3(X2445,X2452,X2453),X2453)|X2453=relation_image(X2445,X2452)|(~relation(X2445)|~function(X2445))))&(esk9_3(X2445,X2452,X2453)=apply(X2445,esk10_3(X2445,X2452,X2453))|in(esk9_3(X2445,X2452,X2453),X2453)|X2453=relation_image(X2445,X2452)|(~relation(X2445)|~function(X2445)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_funct_1])])])])])])).
% 282.28/198.90 cnf(i_0_1842, lemma, (X1=esk253_4(X2,X3,X1,X4)|empty(X2)|~in(ordered_pair(X1,X4),esk252_2(X2,X3))|esk248_2(X2,X3)!=esk249_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1843, lemma, (X1=esk253_4(X2,X3,X1,X4)|in(esk247_2(X2,X3),X2)|empty(X2)|~in(ordered_pair(X1,X4),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1844, lemma, (X1=esk253_4(X2,X3,X1,X4)|in(esk247_2(X2,X3),X2)|empty(X2)|~in(ordered_pair(X1,X4),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1845, lemma, (relation(esk252_2(X1,X2))|in(ordered_pair(esk249_2(X1,X2),X3),X2)|empty(X1)|~in(X3,esk251_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1846, lemma, (relation(esk252_2(X1,X2))|in(ordered_pair(esk248_2(X1,X2),X3),X2)|empty(X1)|~in(X3,esk250_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1847, lemma, (function(esk252_2(X1,X2))|in(ordered_pair(esk249_2(X1,X2),X3),X2)|empty(X1)|~in(X3,esk251_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1848, lemma, (function(esk252_2(X1,X2))|in(ordered_pair(esk248_2(X1,X2),X3),X2)|empty(X1)|~in(X3,esk250_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1849, lemma, (X1=esk253_4(X2,X3,X1,X4)|esk247_2(X2,X3)=esk251_2(X2,X3)|empty(X2)|~in(ordered_pair(X1,X4),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1850, lemma, (X1=esk253_4(X2,X3,X1,X4)|esk247_2(X2,X3)=esk250_2(X2,X3)|empty(X2)|~in(ordered_pair(X1,X4),esk252_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1851, lemma, (X4=subset_complement(the_carrier(X2),X1)|esk266_2(X2,X5)=subset_complement(the_carrier(X2),X6)|~element(X1,powerset(the_carrier(X2)))|X1!=X3|~in(ordered_pair(X3,X4),esk267_2(X2,X5))|~element(X6,powerset(the_carrier(X2)))|X6!=esk264_2(X2,X5)|~one_sorted_str(X2)|~element(X5,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1852, lemma, (X4=subset_complement(the_carrier(X2),X1)|esk265_2(X2,X5)=subset_complement(the_carrier(X2),X6)|~element(X1,powerset(the_carrier(X2)))|X1!=X3|~in(ordered_pair(X3,X4),esk267_2(X2,X5))|~element(X6,powerset(the_carrier(X2)))|X6!=esk264_2(X2,X5)|~one_sorted_str(X2)|~element(X5,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1853, lemma, (X4=subset_complement(the_carrier(X2),X1)|esk261_2(X2,X5)=subset_complement(the_carrier(X2),X6)|~element(X1,powerset(the_carrier(X2)))|X1!=X3|~in(ordered_pair(X3,X4),esk262_2(X2,X5))|~element(X6,powerset(the_carrier(X2)))|X6!=esk259_2(X2,X5)|~one_sorted_str(X2)|~element(X5,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1854, lemma, (X4=subset_complement(the_carrier(X2),X1)|esk260_2(X2,X5)=subset_complement(the_carrier(X2),X6)|~element(X1,powerset(the_carrier(X2)))|X1!=X3|~in(ordered_pair(X3,X4),esk262_2(X2,X5))|~element(X6,powerset(the_carrier(X2)))|X6!=esk259_2(X2,X5)|~one_sorted_str(X2)|~element(X5,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 fof(i_0_1855, lemma, ![X4260, X4261, X4265, X4266, X4268, X4271, X4272]:((((((((relation(esk487_2(X4260,X4261))|(in(esk485_2(X4260,X4261),X4261)|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(in(esk485_2(X4260,X4261),X4261)|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(in(esk485_2(X4260,X4261),X4261)|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(in(esk485_2(X4260,X4261),X4261)|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(((((relation(esk487_2(X4260,X4261))|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(((((relation(esk487_2(X4260,X4261))|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&((((relation(esk487_2(X4260,X4261))|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|in(esk482_2(X4260,X4261),X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))))))&(((((relation(esk487_2(X4260,X4261))|(in(esk485_2(X4260,X4261),X4261)|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(in(esk485_2(X4260,X4261),X4261)|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(in(esk485_2(X4260,X4261),X4261)|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(in(esk485_2(X4260,X4261),X4261)|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(((((relation(esk487_2(X4260,X4261))|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(((((relation(esk487_2(X4260,X4261))|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&((((relation(esk487_2(X4260,X4261))|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|(~element(X4265,powerset(the_carrier(X4260)))|(X4265!=esk482_2(X4260,X4261)|esk483_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4265))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))))))&(((((relation(esk487_2(X4260,X4261))|(in(esk485_2(X4260,X4261),X4261)|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(in(esk485_2(X4260,X4261),X4261)|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(in(esk485_2(X4260,X4261),X4261)|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(in(esk485_2(X4260,X4261),X4261)|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(((((relation(esk487_2(X4260,X4261))|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(((((relation(esk487_2(X4260,X4261))|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&((((relation(esk487_2(X4260,X4261))|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|(~element(X4266,powerset(the_carrier(X4260)))|(X4266!=esk482_2(X4260,X4261)|esk484_2(X4260,X4261)=subset_complement(the_carrier(X4260),X4266))))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))))))&(((((relation(esk487_2(X4260,X4261))|(in(esk485_2(X4260,X4261),X4261)|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(in(esk485_2(X4260,X4261),X4261)|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(in(esk485_2(X4260,X4261),X4261)|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(in(esk485_2(X4260,X4261),X4261)|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(((((relation(esk487_2(X4260,X4261))|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(element(esk486_3(X4260,X4261,X4268),powerset(the_carrier(X4260)))|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(((((relation(esk487_2(X4260,X4261))|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(esk486_3(X4260,X4261,X4268)=esk485_2(X4260,X4261)|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&((((relation(esk487_2(X4260,X4261))|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))&(function(esk487_2(X4260,X4261))|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(relation_dom(esk487_2(X4260,X4261))=X4261|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260)))))))&(~in(X4271,X4261)|(~element(X4272,powerset(the_carrier(X4260)))|(X4272!=X4271|apply(esk487_2(X4260,X4261),X4271)=subset_complement(the_carrier(X4260),X4272)))|(X4268!=subset_complement(the_carrier(X4260),esk486_3(X4260,X4261,X4268))|esk483_2(X4260,X4261)!=esk484_2(X4260,X4261))|(~one_sorted_str(X4260)|~element(X4261,powerset(powerset(the_carrier(X4260))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s2_funct_1__e4_7_2__tops_2])])])])])).
% 282.28/198.90 cnf(i_0_1856, lemma, (relstr_set_smaller(X1,X2,esk461_3(X1,X3,X2))|element(esk460_3(X1,X3,X2),the_carrier(X1))|empty_carrier(X1)|~finite(X2)|~element(X4,the_carrier(X1))|~in(X4,X3)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X3,powerset(the_carrier(X1)))|~finite(X2)|~element(X2,powerset(X3))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 fof(i_0_1857, plain, ![X3653, X3654, X3655, X3656]:(empty_carrier(X3653)|~one_sorted_str(X3653)|empty_carrier(X3654)|~one_sorted_str(X3654)|~function(X3655)|~quasi_total(X3655,the_carrier(X3653),the_carrier(X3654))|~relation_of2(X3655,the_carrier(X3653),the_carrier(X3654))|~element(X3656,the_carrier(X3653))|apply_on_structs(X3653,X3654,X3655,X3656)=apply(X3655,X3656)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_960])])).
% 282.28/198.90 cnf(i_0_1858, lemma, (relstr_set_smaller(X1,X2,esk461_3(X1,X3,X2))|subset(esk459_3(X1,X3,X2),X2)|empty_carrier(X1)|~finite(X2)|~element(X4,the_carrier(X1))|~in(X4,X3)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X3,powerset(the_carrier(X1)))|~finite(X2)|~element(X2,powerset(X3))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 cnf(i_0_1859, lemma, (relstr_set_smaller(X1,X2,esk461_3(X1,X3,X2))|in(esk460_3(X1,X3,X2),X3)|empty_carrier(X1)|~finite(X2)|~element(X4,the_carrier(X1))|~in(X4,X3)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X3,powerset(the_carrier(X1)))|~finite(X2)|~element(X2,powerset(X3))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 cnf(i_0_1860, lemma, (relstr_set_smaller(X1,X2,esk461_3(X1,X3,X2))|in(esk458_3(X1,X3,X2),X2)|empty_carrier(X1)|~finite(X2)|~element(X4,the_carrier(X1))|~in(X4,X3)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X3,powerset(the_carrier(X1)))|~finite(X2)|~element(X2,powerset(X3))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 cnf(i_0_1861, plain, (X3=X4|~is_antisymmetric_in(X1,X2)|~in(X3,X2)|~in(X4,X2)|~in(ordered_pair(X3,X4),X1)|~in(ordered_pair(X4,X3),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_959])).
% 282.28/198.90 cnf(i_0_1862, lemma, (in(X1,complements_of_subsets(the_carrier(X2),X3))|esk261_2(X2,X3)=subset_complement(the_carrier(X2),X5)|~in(ordered_pair(X1,X4),esk262_2(X2,X3))|~element(X5,powerset(the_carrier(X2)))|X5!=esk259_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1863, lemma, (in(X1,complements_of_subsets(the_carrier(X2),X3))|esk260_2(X2,X3)=subset_complement(the_carrier(X2),X5)|~in(ordered_pair(X1,X4),esk262_2(X2,X3))|~element(X5,powerset(the_carrier(X2)))|X5!=esk259_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1864, lemma, (X1=relation_dom_restriction(X3,X2)|apply(X1,esk539_3(X2,X1,X3))!=apply(X3,esk539_3(X2,X1,X3))|relation_dom(X1)!=set_intersection2(relation_dom(X3),X2)|~relation(X3)|~function(X3)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_961])).
% 282.28/198.90 cnf(i_0_1865, lemma, (X4=subset_complement(the_carrier(X2),X1)|in(esk259_2(X2,X5),complements_of_subsets(the_carrier(X2),X5))|~element(X1,powerset(the_carrier(X2)))|X1!=X3|~in(ordered_pair(X3,X4),esk262_2(X2,X5))|~one_sorted_str(X2)|~element(X5,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1866, lemma, (X4=subset_complement(the_carrier(X2),X1)|in(esk259_2(X2,X5),complements_of_subsets(the_carrier(X2),X5))|~element(X1,powerset(the_carrier(X2)))|X1!=X3|~in(ordered_pair(X3,X4),esk262_2(X2,X5))|~one_sorted_str(X2)|~element(X5,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 fof(i_0_1867, plain, ![X2888, X2889, X2890, X2891, X2892, X2893, X2894, X2895]:((((in(X2891,X2888)|~in(X2891,X2890)|X2890!=set_difference(X2888,X2889))&(~in(X2891,X2889)|~in(X2891,X2890)|X2890!=set_difference(X2888,X2889)))&(~in(X2892,X2888)|in(X2892,X2889)|in(X2892,X2890)|X2890!=set_difference(X2888,X2889)))&((~in(esk107_3(X2893,X2894,X2895),X2895)|(~in(esk107_3(X2893,X2894,X2895),X2893)|in(esk107_3(X2893,X2894,X2895),X2894))|X2895=set_difference(X2893,X2894))&((in(esk107_3(X2893,X2894,X2895),X2893)|in(esk107_3(X2893,X2894,X2895),X2895)|X2895=set_difference(X2893,X2894))&(~in(esk107_3(X2893,X2894,X2895),X2894)|in(esk107_3(X2893,X2894,X2895),X2895)|X2895=set_difference(X2893,X2894))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_962])])])])])])).
% 282.28/198.90 cnf(i_0_1868, lemma, (element(esk461_3(X1,X2,X3),the_carrier(X1))|element(esk460_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~finite(X3)|~element(X4,the_carrier(X1))|~in(X4,X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 fof(i_0_1869, plain, ![X3711, X3712, X3713, X3714]:(empty(X3711)|empty_carrier(X3712)|~one_sorted_str(X3712)|~function(X3713)|~quasi_total(X3713,X3711,the_carrier(X3712))|~relation_of2(X3713,X3711,the_carrier(X3712))|~element(X3714,X3711)|apply_on_set_and_struct2(X3711,X3712,X3713,X3714)=apply(X3713,X3714)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_963])])).
% 282.28/198.90 fof(i_0_1870, plain, ![X3675, X3676, X3677, X3678]:(empty(X3675)|empty_carrier(X3676)|~rel_str(X3676)|~function(X3677)|~quasi_total(X3677,X3675,the_carrier(X3676))|~relation_of2(X3677,X3675,the_carrier(X3676))|~element(X3678,X3675)|apply_on_set_and_struct(X3675,X3676,X3677,X3678)=apply(X3677,X3678)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_964])])).
% 282.28/198.90 cnf(i_0_1871, lemma, (element(esk461_3(X1,X2,X3),the_carrier(X1))|subset(esk459_3(X1,X2,X3),X3)|empty_carrier(X1)|~finite(X3)|~element(X4,the_carrier(X1))|~in(X4,X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 cnf(i_0_1872, lemma, (in(esk461_3(X1,X2,X3),X2)|element(esk460_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~finite(X3)|~element(X4,the_carrier(X1))|~in(X4,X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 cnf(i_0_1873, lemma, (element(esk461_3(X1,X2,X3),the_carrier(X1))|in(esk460_3(X1,X2,X3),X2)|empty_carrier(X1)|~finite(X3)|~element(X4,the_carrier(X1))|~in(X4,X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 cnf(i_0_1874, lemma, (element(esk461_3(X1,X2,X3),the_carrier(X1))|in(esk458_3(X1,X2,X3),X3)|empty_carrier(X1)|~finite(X3)|~element(X4,the_carrier(X1))|~in(X4,X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 cnf(i_0_1875, lemma, (in(X1,complements_of_subsets(the_carrier(X2),X3))|in(esk259_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|~in(ordered_pair(X1,X4),esk262_2(X2,X3))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1876, lemma, (in(X1,complements_of_subsets(the_carrier(X2),X3))|in(esk259_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|~in(ordered_pair(X1,X4),esk262_2(X2,X3))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 fof(i_0_1877, plain, ![X3688, X3689, X3690, X3691]:(~one_sorted_str(X3688)|~one_sorted_str(X3689)|~function(X3690)|~quasi_total(X3690,the_carrier(X3688),the_carrier(X3689))|~relation_of2(X3690,the_carrier(X3688),the_carrier(X3689))|function_invverse_img_as_carrier_subset(X3688,X3689,X3690,X3691)=relation_inverse_image(X3690,X3691)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_pre_topc])])).
% 282.28/198.90 cnf(i_0_1878, lemma, (in(esk461_3(X1,X2,X3),X2)|subset(esk459_3(X1,X2,X3),X3)|empty_carrier(X1)|~finite(X3)|~element(X4,the_carrier(X1))|~in(X4,X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 cnf(i_0_1879, lemma, (in(esk461_3(X1,X2,X3),X2)|in(esk460_3(X1,X2,X3),X2)|empty_carrier(X1)|~finite(X3)|~element(X4,the_carrier(X1))|~in(X4,X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 cnf(i_0_1880, lemma, (in(esk461_3(X1,X2,X3),X2)|in(esk458_3(X1,X2,X3),X3)|empty_carrier(X1)|~finite(X3)|~element(X4,the_carrier(X1))|~in(X4,X2)|~relstr_set_smaller(X1,empty_set,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_910])).
% 282.28/198.90 fof(i_0_1881, lemma, ![X4500, X4501, X4502, X4503, X4504, X4505, X4506]:(~one_sorted_str(X4500)|(empty_carrier(X4501)|~net_str(X4501,X4500)|(empty_carrier(X4502)|~full_subnetstr(X4502,X4500,X4501)|~subnetstr(X4502,X4500,X4501)|(~element(X4503,the_carrier(X4501))|(~element(X4504,the_carrier(X4501))|(~element(X4505,the_carrier(X4502))|(~element(X4506,the_carrier(X4502))|(X4503!=X4505|X4504!=X4506|~related(X4501,X4503,X4504)|related(X4502,X4505,X4506))))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_965])])])).
% 282.28/198.90 cnf(i_0_1882, lemma, (in(X1,X2)|esk266_2(X4,X2)=subset_complement(the_carrier(X4),X5)|~in(ordered_pair(X1,X3),esk267_2(X4,X2))|~element(X5,powerset(the_carrier(X4)))|X5!=esk264_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1883, lemma, (in(X1,X2)|esk265_2(X4,X2)=subset_complement(the_carrier(X4),X5)|~in(ordered_pair(X1,X3),esk267_2(X4,X2))|~element(X5,powerset(the_carrier(X4)))|X5!=esk264_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1884, lemma, (X4=subset_complement(the_carrier(X2),X1)|~element(X1,powerset(the_carrier(X2)))|X1!=X3|~in(ordered_pair(X3,X4),esk267_2(X2,X5))|esk265_2(X2,X5)!=esk266_2(X2,X5)|~one_sorted_str(X2)|~element(X5,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1885, lemma, (X4=subset_complement(the_carrier(X2),X1)|~element(X1,powerset(the_carrier(X2)))|X1!=X3|~in(ordered_pair(X3,X4),esk262_2(X2,X5))|esk260_2(X2,X5)!=esk261_2(X2,X5)|~one_sorted_str(X2)|~element(X5,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1886, lemma, (X4=subset_complement(the_carrier(X2),X1)|in(esk264_2(X2,X5),X5)|~element(X1,powerset(the_carrier(X2)))|X1!=X3|~in(ordered_pair(X3,X4),esk267_2(X2,X5))|~one_sorted_str(X2)|~element(X5,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1887, lemma, (X4=subset_complement(the_carrier(X2),X1)|in(esk264_2(X2,X5),X5)|~element(X1,powerset(the_carrier(X2)))|X1!=X3|~in(ordered_pair(X3,X4),esk267_2(X2,X5))|~one_sorted_str(X2)|~element(X5,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1888, plain, (in(ordered_pair(X4,X1),X3)|in(esk278_2(X2,X3),esk280_2(X2,X3))|empty(X2)|~in(X1,esk283_3(X2,X3,X4))|~in(X4,esk281_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1889, plain, (in(ordered_pair(X4,X1),X3)|in(esk277_2(X2,X3),esk279_2(X2,X3))|empty(X2)|~in(X1,esk283_3(X2,X3,X4))|~in(X4,esk281_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1890, lemma, (X2=X3|~antisymmetric(X1)|~in(ordered_pair(X2,X3),X1)|~in(ordered_pair(X3,X2),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_966])).
% 282.28/198.90 fof(i_0_1891, plain, ![X3715, X3716, X3717, X3718]:(empty(X3715)|~function(X3717)|~quasi_total(X3717,X3715,X3716)|~relation_of2(X3717,X3715,X3716)|~element(X3718,X3715)|apply_as_element(X3715,X3716,X3717,X3718)=apply(X3717,X3718)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_967])])).
% 282.28/198.90 cnf(i_0_1892, plain, (X2=relation_rng(X1)|~in(esk114_2(X1,X2),X2)|~in(ordered_pair(X3,esk114_2(X1,X2)),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_918])).
% 282.28/198.90 cnf(i_0_1893, plain, (esk326_3(X1,X2,X3)=singleton(esk325_3(X1,X2,X3))|ordered_pair(esk321_1(X1),esk322_1(X1))=esk318_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1894, plain, (esk326_3(X1,X2,X3)=singleton(esk325_3(X1,X2,X3))|ordered_pair(esk319_1(X1),esk320_1(X1))=esk317_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1895, plain, (X3=X4|~function(X1)|~in(ordered_pair(X2,X3),X1)|~in(ordered_pair(X2,X4),X1)), inference(split_conjunct,[status(thm)],[i_0_968])).
% 282.28/198.90 cnf(i_0_1896, lemma, (in(X1,complements_of_subsets(the_carrier(X2),X3))|~in(ordered_pair(X1,X4),esk262_2(X2,X3))|esk260_2(X2,X3)!=esk261_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_920])).
% 282.28/198.90 cnf(i_0_1897, plain, (in(ordered_pair(X4,X1),X3)|empty(X2)|~in(X1,esk283_3(X2,X3,X4))|~in(X4,esk281_2(X2,X3))|esk277_2(X2,X3)!=esk278_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1898, plain, (in(ordered_pair(X4,X1),X3)|in(esk276_2(X2,X3),X2)|empty(X2)|~in(X1,esk283_3(X2,X3,X4))|~in(X4,esk281_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1899, plain, (in(ordered_pair(X4,X1),X3)|in(esk276_2(X2,X3),X2)|empty(X2)|~in(X1,esk283_3(X2,X3,X4))|~in(X4,esk281_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1900, plain, (X3=cartesian_product2(X1,X2)|~in(esk85_3(X1,X2,X3),X3)|~in(X4,X1)|~in(X5,X2)|esk85_3(X1,X2,X3)!=ordered_pair(X4,X5)), inference(split_conjunct,[status(thm)],[i_0_904])).
% 282.28/198.90 cnf(i_0_1901, lemma, (in(ordered_pair(X1,X3),relation_composition(identity_relation(X2),X4))|~in(X1,X2)|~in(ordered_pair(X1,X3),X4)|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_969])).
% 282.28/198.90 cnf(i_0_1902, plain, (in(ordered_pair(X4,X1),X3)|esk276_2(X2,X3)=esk280_2(X2,X3)|empty(X2)|~in(X1,esk283_3(X2,X3,X4))|~in(X4,esk281_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1903, plain, (in(ordered_pair(X4,X1),X3)|esk276_2(X2,X3)=esk279_2(X2,X3)|empty(X2)|~in(X1,esk283_3(X2,X3,X4))|~in(X4,esk281_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892])).
% 282.28/198.90 cnf(i_0_1904, lemma, (in(ordered_pair(X1,X2),X3)|~in(ordered_pair(X1,X2),relation_composition(identity_relation(X4),X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_969])).
% 282.28/198.90 cnf(i_0_1905, plain, (in(ordered_pair(X1,X3),X5)|~in(X1,X2)|~in(ordered_pair(X1,X3),X4)|X5!=relation_dom_restriction(X4,X2)|~relation(X5)|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_902])).
% 282.28/198.90 cnf(i_0_1906, plain, (in(ordered_pair(X3,X1),X5)|~in(X1,X2)|~in(ordered_pair(X3,X1),X4)|X5!=relation_rng_restriction(X2,X4)|~relation(X5)|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_901])).
% 282.28/198.90 cnf(i_0_1907, lemma, (in(X1,X2)|~in(ordered_pair(X1,X3),esk275_3(X2,X4,X5))|~relation(X4)|~relation(X5)|~function(X5)), inference(split_conjunct,[status(thm)],[i_0_923])).
% 282.28/198.90 cnf(i_0_1908, lemma, (in(X1,X2)|~in(ordered_pair(X3,X1),esk275_3(X2,X4,X5))|~relation(X4)|~relation(X5)|~function(X5)), inference(split_conjunct,[status(thm)],[i_0_923])).
% 282.28/198.90 cnf(i_0_1909, lemma, (in(X1,X2)|~in(ordered_pair(X1,X3),esk267_2(X4,X2))|esk265_2(X4,X2)!=esk266_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 fof(i_0_1910, plain, ![X2618, X2619, X2620, X2621]:((((in(the_carrier(X2618),the_topology(X2618))|~topological_space(X2618)|~top_str(X2618))&(~element(X2619,powerset(powerset(the_carrier(X2618))))|(~subset(X2619,the_topology(X2618))|in(union_of_subsets(the_carrier(X2618),X2619),the_topology(X2618)))|~topological_space(X2618)|~top_str(X2618)))&(~element(X2620,powerset(the_carrier(X2618)))|(~element(X2621,powerset(the_carrier(X2618)))|(~in(X2620,the_topology(X2618))|~in(X2621,the_topology(X2618))|in(subset_intersection2(the_carrier(X2618),X2620,X2621),the_topology(X2618))))|~topological_space(X2618)|~top_str(X2618)))&(((element(esk47_1(X2618),powerset(the_carrier(X2618)))|(element(esk46_1(X2618),powerset(powerset(the_carrier(X2618))))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618))&((element(esk48_1(X2618),powerset(the_carrier(X2618)))|(element(esk46_1(X2618),powerset(powerset(the_carrier(X2618))))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618))&(((in(esk47_1(X2618),the_topology(X2618))|(element(esk46_1(X2618),powerset(powerset(the_carrier(X2618))))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618))&(in(esk48_1(X2618),the_topology(X2618))|(element(esk46_1(X2618),powerset(powerset(the_carrier(X2618))))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618)))&(~in(subset_intersection2(the_carrier(X2618),esk47_1(X2618),esk48_1(X2618)),the_topology(X2618))|(element(esk46_1(X2618),powerset(powerset(the_carrier(X2618))))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618)))))&(((element(esk47_1(X2618),powerset(the_carrier(X2618)))|(subset(esk46_1(X2618),the_topology(X2618))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618))&((element(esk48_1(X2618),powerset(the_carrier(X2618)))|(subset(esk46_1(X2618),the_topology(X2618))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618))&(((in(esk47_1(X2618),the_topology(X2618))|(subset(esk46_1(X2618),the_topology(X2618))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618))&(in(esk48_1(X2618),the_topology(X2618))|(subset(esk46_1(X2618),the_topology(X2618))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618)))&(~in(subset_intersection2(the_carrier(X2618),esk47_1(X2618),esk48_1(X2618)),the_topology(X2618))|(subset(esk46_1(X2618),the_topology(X2618))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618)))))&((element(esk47_1(X2618),powerset(the_carrier(X2618)))|(~in(union_of_subsets(the_carrier(X2618),esk46_1(X2618)),the_topology(X2618))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618))&((element(esk48_1(X2618),powerset(the_carrier(X2618)))|(~in(union_of_subsets(the_carrier(X2618),esk46_1(X2618)),the_topology(X2618))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618))&(((in(esk47_1(X2618),the_topology(X2618))|(~in(union_of_subsets(the_carrier(X2618),esk46_1(X2618)),the_topology(X2618))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618))&(in(esk48_1(X2618),the_topology(X2618))|(~in(union_of_subsets(the_carrier(X2618),esk46_1(X2618)),the_topology(X2618))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618)))&(~in(subset_intersection2(the_carrier(X2618),esk47_1(X2618),esk48_1(X2618)),the_topology(X2618))|(~in(union_of_subsets(the_carrier(X2618),esk46_1(X2618)),the_topology(X2618))|~in(the_carrier(X2618),the_topology(X2618)))|topological_space(X2618)|~top_str(X2618)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_pre_topc])])])])])).
% 282.28/198.90 cnf(i_0_1911, lemma, (in(X1,X2)|in(esk264_2(X4,X2),X2)|~in(ordered_pair(X1,X3),esk267_2(X4,X2))|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 cnf(i_0_1912, lemma, (in(X1,X2)|in(esk264_2(X4,X2),X2)|~in(ordered_pair(X1,X3),esk267_2(X4,X2))|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_922])).
% 282.28/198.90 fof(i_0_1913, plain, ![X2421, X2422, X2423, X2424]:(((relstr_element_smaller(X2421,X2422,X2423)|X2423!=meet_on_relstr(X2421,X2422)|~ex_inf_of_relstr_set(X2421,X2422)|~element(X2423,the_carrier(X2421))|~rel_str(X2421))&(~element(X2424,the_carrier(X2421))|(~relstr_element_smaller(X2421,X2422,X2424)|related(X2421,X2424,X2423))|X2423!=meet_on_relstr(X2421,X2422)|~ex_inf_of_relstr_set(X2421,X2422)|~element(X2423,the_carrier(X2421))|~rel_str(X2421)))&((element(esk3_3(X2421,X2422,X2423),the_carrier(X2421))|~relstr_element_smaller(X2421,X2422,X2423)|X2423=meet_on_relstr(X2421,X2422)|~ex_inf_of_relstr_set(X2421,X2422)|~element(X2423,the_carrier(X2421))|~rel_str(X2421))&((relstr_element_smaller(X2421,X2422,esk3_3(X2421,X2422,X2423))|~relstr_element_smaller(X2421,X2422,X2423)|X2423=meet_on_relstr(X2421,X2422)|~ex_inf_of_relstr_set(X2421,X2422)|~element(X2423,the_carrier(X2421))|~rel_str(X2421))&(~related(X2421,esk3_3(X2421,X2422,X2423),X2423)|~relstr_element_smaller(X2421,X2422,X2423)|X2423=meet_on_relstr(X2421,X2422)|~ex_inf_of_relstr_set(X2421,X2422)|~element(X2423,the_carrier(X2421))|~rel_str(X2421))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_yellow_0])])])])])).
% 282.28/198.90 fof(i_0_1914, plain, ![X3074, X3075, X3076, X3077]:(((relstr_set_smaller(X3074,X3075,X3076)|X3076!=join_on_relstr(X3074,X3075)|~ex_sup_of_relstr_set(X3074,X3075)|~element(X3076,the_carrier(X3074))|~rel_str(X3074))&(~element(X3077,the_carrier(X3074))|(~relstr_set_smaller(X3074,X3075,X3077)|related(X3074,X3076,X3077))|X3076!=join_on_relstr(X3074,X3075)|~ex_sup_of_relstr_set(X3074,X3075)|~element(X3076,the_carrier(X3074))|~rel_str(X3074)))&((element(esk151_3(X3074,X3075,X3076),the_carrier(X3074))|~relstr_set_smaller(X3074,X3075,X3076)|X3076=join_on_relstr(X3074,X3075)|~ex_sup_of_relstr_set(X3074,X3075)|~element(X3076,the_carrier(X3074))|~rel_str(X3074))&((relstr_set_smaller(X3074,X3075,esk151_3(X3074,X3075,X3076))|~relstr_set_smaller(X3074,X3075,X3076)|X3076=join_on_relstr(X3074,X3075)|~ex_sup_of_relstr_set(X3074,X3075)|~element(X3076,the_carrier(X3074))|~rel_str(X3074))&(~related(X3074,X3076,esk151_3(X3074,X3075,X3076))|~relstr_set_smaller(X3074,X3075,X3076)|X3076=join_on_relstr(X3074,X3075)|~ex_sup_of_relstr_set(X3074,X3075)|~element(X3076,the_carrier(X3074))|~rel_str(X3074))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_yellow_0])])])])])).
% 282.28/198.90 cnf(i_0_1915, plain, (empty_carrier(X1)|empty_carrier(X2)|k10_filter_1(X1,X2,X3,X4)=ordered_pair(X3,X4)|~lattice(X1)|~latt_str(X1)|~lattice(X2)|~latt_str(X2)|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X2))), inference(split_conjunct,[status(thm)],[i_0_970])).
% 282.28/198.90 fof(i_0_1916, lemma, ![X4656, X4657, X4658, X4659, X4660]:(((latt_set_smaller(X4656,X4657,X4658)|X4657!=meet_of_latt_set(X4656,X4658)|~element(X4657,the_carrier(X4656))|(empty_carrier(X4656)|~lattice(X4656)|~complete_latt_str(X4656)|~latt_str(X4656)))&(~element(X4659,the_carrier(X4656))|(~latt_set_smaller(X4656,X4659,X4658)|below_refl(X4656,X4659,X4657))|X4657!=meet_of_latt_set(X4656,X4658)|~element(X4657,the_carrier(X4656))|(empty_carrier(X4656)|~lattice(X4656)|~complete_latt_str(X4656)|~latt_str(X4656))))&((element(esk525_3(X4656,X4657,X4660),the_carrier(X4656))|~latt_set_smaller(X4656,X4657,X4660)|X4657=meet_of_latt_set(X4656,X4660)|~element(X4657,the_carrier(X4656))|(empty_carrier(X4656)|~lattice(X4656)|~complete_latt_str(X4656)|~latt_str(X4656)))&((latt_set_smaller(X4656,esk525_3(X4656,X4657,X4660),X4660)|~latt_set_smaller(X4656,X4657,X4660)|X4657=meet_of_latt_set(X4656,X4660)|~element(X4657,the_carrier(X4656))|(empty_carrier(X4656)|~lattice(X4656)|~complete_latt_str(X4656)|~latt_str(X4656)))&(~below_refl(X4656,esk525_3(X4656,X4657,X4660),X4657)|~latt_set_smaller(X4656,X4657,X4660)|X4657=meet_of_latt_set(X4656,X4660)|~element(X4657,the_carrier(X4656))|(empty_carrier(X4656)|~lattice(X4656)|~complete_latt_str(X4656)|~latt_str(X4656)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_971])])])])])])).
% 282.28/198.90 cnf(i_0_1917, plain, (X2=join_of_latt_set(X1,X3)|empty_carrier(X1)|empty_carrier(X1)|~below(X1,X2,esk68_3(X1,X3,X2))|~latt_element_smaller(X1,X2,X3)|~element(X2,the_carrier(X1))|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_972])).
% 282.28/198.90 fof(i_0_1918, plain, ![X3947, X3948, X3953, X3955, X3956]:((((((((in(esk348_3(X3947,X3948,X3953),powerset(the_carrier(X3947)))|~in(X3953,esk347_2(X3947,X3948))|esk344_2(X3947,X3948)=esk345_2(X3947,X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947))))))&(esk348_3(X3947,X3948,X3953)=X3953|~in(X3953,esk347_2(X3947,X3948))|esk344_2(X3947,X3948)=esk345_2(X3947,X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947)))))))&(in(set_difference(cast_as_carrier_subset(X3947),X3953),X3948)|~in(X3953,esk347_2(X3947,X3948))|esk344_2(X3947,X3948)=esk345_2(X3947,X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947)))))))&(~in(X3956,powerset(the_carrier(X3947)))|X3956!=X3955|~in(set_difference(cast_as_carrier_subset(X3947),X3955),X3948)|in(X3955,esk347_2(X3947,X3948))|esk344_2(X3947,X3948)=esk345_2(X3947,X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947)))))))&((((in(esk348_3(X3947,X3948,X3953),powerset(the_carrier(X3947)))|~in(X3953,esk347_2(X3947,X3948))|in(set_difference(cast_as_carrier_subset(X3947),esk345_2(X3947,X3948)),X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947))))))&(esk348_3(X3947,X3948,X3953)=X3953|~in(X3953,esk347_2(X3947,X3948))|in(set_difference(cast_as_carrier_subset(X3947),esk345_2(X3947,X3948)),X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947)))))))&(in(set_difference(cast_as_carrier_subset(X3947),X3953),X3948)|~in(X3953,esk347_2(X3947,X3948))|in(set_difference(cast_as_carrier_subset(X3947),esk345_2(X3947,X3948)),X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947)))))))&(~in(X3956,powerset(the_carrier(X3947)))|X3956!=X3955|~in(set_difference(cast_as_carrier_subset(X3947),X3955),X3948)|in(X3955,esk347_2(X3947,X3948))|in(set_difference(cast_as_carrier_subset(X3947),esk345_2(X3947,X3948)),X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947))))))))&((((in(esk348_3(X3947,X3948,X3953),powerset(the_carrier(X3947)))|~in(X3953,esk347_2(X3947,X3948))|esk344_2(X3947,X3948)=esk346_2(X3947,X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947))))))&(esk348_3(X3947,X3948,X3953)=X3953|~in(X3953,esk347_2(X3947,X3948))|esk344_2(X3947,X3948)=esk346_2(X3947,X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947)))))))&(in(set_difference(cast_as_carrier_subset(X3947),X3953),X3948)|~in(X3953,esk347_2(X3947,X3948))|esk344_2(X3947,X3948)=esk346_2(X3947,X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947)))))))&(~in(X3956,powerset(the_carrier(X3947)))|X3956!=X3955|~in(set_difference(cast_as_carrier_subset(X3947),X3955),X3948)|in(X3955,esk347_2(X3947,X3948))|esk344_2(X3947,X3948)=esk346_2(X3947,X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947))))))))&((((in(esk348_3(X3947,X3948,X3953),powerset(the_carrier(X3947)))|~in(X3953,esk347_2(X3947,X3948))|in(set_difference(cast_as_carrier_subset(X3947),esk346_2(X3947,X3948)),X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947))))))&(esk348_3(X3947,X3948,X3953)=X3953|~in(X3953,esk347_2(X3947,X3948))|in(set_difference(cast_as_carrier_subset(X3947),esk346_2(X3947,X3948)),X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947)))))))&(in(set_difference(cast_as_carrier_subset(X3947),X3953),X3948)|~in(X3953,esk347_2(X3947,X3948))|in(set_difference(cast_as_carrier_subset(X3947),esk346_2(X3947,X3948)),X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947)))))))&(~in(X3956,powerset(the_carrier(X3947)))|X3956!=X3955|~in(set_difference(cast_as_carrier_subset(X3947),X3955),X3948)|in(X3955,esk347_2(X3947,X3948))|in(set_difference(cast_as_carrier_subset(X3947),esk346_2(X3947,X3948)),X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947))))))))&((((in(esk348_3(X3947,X3948,X3953),powerset(the_carrier(X3947)))|~in(X3953,esk347_2(X3947,X3948))|esk345_2(X3947,X3948)!=esk346_2(X3947,X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947))))))&(esk348_3(X3947,X3948,X3953)=X3953|~in(X3953,esk347_2(X3947,X3948))|esk345_2(X3947,X3948)!=esk346_2(X3947,X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947)))))))&(in(set_difference(cast_as_carrier_subset(X3947),X3953),X3948)|~in(X3953,esk347_2(X3947,X3948))|esk345_2(X3947,X3948)!=esk346_2(X3947,X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947)))))))&(~in(X3956,powerset(the_carrier(X3947)))|X3956!=X3955|~in(set_difference(cast_as_carrier_subset(X3947),X3955),X3948)|in(X3955,esk347_2(X3947,X3948))|esk345_2(X3947,X3948)!=esk346_2(X3947,X3948)|(~topological_space(X3947)|~top_str(X3947)|~element(X3948,powerset(powerset(the_carrier(X3947)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e2_37_1_1__pre_topc__1])])])])])])).
% 282.28/198.90 cnf(i_0_1919, plain, (in(ordered_pair(X1,X2),X3)|~in(ordered_pair(X1,X2),X4)|X4!=relation_rng_restriction(X5,X3)|~relation(X4)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_901])).
% 282.28/198.90 cnf(i_0_1920, plain, (in(ordered_pair(X1,X2),X3)|~in(ordered_pair(X1,X2),X4)|X4!=relation_dom_restriction(X3,X5)|~relation(X4)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_902])).
% 282.28/198.90 cnf(i_0_1921, plain, (in(ordered_pair(X3,X4),X2)|~subset(X1,X2)|~in(ordered_pair(X3,X4),X1)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_938])).
% 282.28/198.90 fof(i_0_1922, lemma, ![X4611, X4612, X4613, X4614, X4615]:(((relstr_set_smaller(X4611,X4613,X4612)|(X4612!=join_on_relstr(X4611,X4613)|~ex_sup_of_relstr_set(X4611,X4613))|~element(X4612,the_carrier(X4611))|(~antisymmetric_relstr(X4611)|~rel_str(X4611)))&(~element(X4614,the_carrier(X4611))|(~relstr_set_smaller(X4611,X4613,X4614)|related(X4611,X4612,X4614))|(X4612!=join_on_relstr(X4611,X4613)|~ex_sup_of_relstr_set(X4611,X4613))|~element(X4612,the_carrier(X4611))|(~antisymmetric_relstr(X4611)|~rel_str(X4611))))&(((X4612=join_on_relstr(X4611,X4615)|(element(esk521_3(X4611,X4612,X4615),the_carrier(X4611))|~relstr_set_smaller(X4611,X4615,X4612))|~element(X4612,the_carrier(X4611))|(~antisymmetric_relstr(X4611)|~rel_str(X4611)))&(ex_sup_of_relstr_set(X4611,X4615)|(element(esk521_3(X4611,X4612,X4615),the_carrier(X4611))|~relstr_set_smaller(X4611,X4615,X4612))|~element(X4612,the_carrier(X4611))|(~antisymmetric_relstr(X4611)|~rel_str(X4611))))&(((X4612=join_on_relstr(X4611,X4615)|(relstr_set_smaller(X4611,X4615,esk521_3(X4611,X4612,X4615))|~relstr_set_smaller(X4611,X4615,X4612))|~element(X4612,the_carrier(X4611))|(~antisymmetric_relstr(X4611)|~rel_str(X4611)))&(ex_sup_of_relstr_set(X4611,X4615)|(relstr_set_smaller(X4611,X4615,esk521_3(X4611,X4612,X4615))|~relstr_set_smaller(X4611,X4615,X4612))|~element(X4612,the_carrier(X4611))|(~antisymmetric_relstr(X4611)|~rel_str(X4611))))&((X4612=join_on_relstr(X4611,X4615)|(~related(X4611,X4612,esk521_3(X4611,X4612,X4615))|~relstr_set_smaller(X4611,X4615,X4612))|~element(X4612,the_carrier(X4611))|(~antisymmetric_relstr(X4611)|~rel_str(X4611)))&(ex_sup_of_relstr_set(X4611,X4615)|(~related(X4611,X4612,esk521_3(X4611,X4612,X4615))|~relstr_set_smaller(X4611,X4615,X4612))|~element(X4612,the_carrier(X4611))|(~antisymmetric_relstr(X4611)|~rel_str(X4611))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[t30_yellow_0])])])])])])).
% 282.28/198.90 fof(i_0_1923, lemma, ![X4420, X4421, X4423, X4424, X4425]:((((element(esk505_2(X4420,X4421),the_carrier(X4420))|~ex_inf_of_relstr_set(X4420,X4421)|(~antisymmetric_relstr(X4420)|~rel_str(X4420)))&(relstr_element_smaller(X4420,X4421,esk505_2(X4420,X4421))|~ex_inf_of_relstr_set(X4420,X4421)|(~antisymmetric_relstr(X4420)|~rel_str(X4420))))&(~element(X4423,the_carrier(X4420))|(~relstr_element_smaller(X4420,X4421,X4423)|related(X4420,X4423,esk505_2(X4420,X4421)))|~ex_inf_of_relstr_set(X4420,X4421)|(~antisymmetric_relstr(X4420)|~rel_str(X4420))))&((element(esk506_3(X4420,X4424,X4425),the_carrier(X4420))|(~element(X4425,the_carrier(X4420))|~relstr_element_smaller(X4420,X4424,X4425))|ex_inf_of_relstr_set(X4420,X4424)|(~antisymmetric_relstr(X4420)|~rel_str(X4420)))&((relstr_element_smaller(X4420,X4424,esk506_3(X4420,X4424,X4425))|(~element(X4425,the_carrier(X4420))|~relstr_element_smaller(X4420,X4424,X4425))|ex_inf_of_relstr_set(X4420,X4424)|(~antisymmetric_relstr(X4420)|~rel_str(X4420)))&(~related(X4420,esk506_3(X4420,X4424,X4425),X4425)|(~element(X4425,the_carrier(X4420))|~relstr_element_smaller(X4420,X4424,X4425))|ex_inf_of_relstr_set(X4420,X4424)|(~antisymmetric_relstr(X4420)|~rel_str(X4420)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_yellow_0])])])])])])).
% 282.28/198.90 fof(i_0_1924, lemma, ![X4390, X4391, X4393, X4394, X4395]:((((element(esk502_2(X4390,X4391),the_carrier(X4390))|~ex_sup_of_relstr_set(X4390,X4391)|(~antisymmetric_relstr(X4390)|~rel_str(X4390)))&(relstr_set_smaller(X4390,X4391,esk502_2(X4390,X4391))|~ex_sup_of_relstr_set(X4390,X4391)|(~antisymmetric_relstr(X4390)|~rel_str(X4390))))&(~element(X4393,the_carrier(X4390))|(~relstr_set_smaller(X4390,X4391,X4393)|related(X4390,esk502_2(X4390,X4391),X4393))|~ex_sup_of_relstr_set(X4390,X4391)|(~antisymmetric_relstr(X4390)|~rel_str(X4390))))&((element(esk503_3(X4390,X4394,X4395),the_carrier(X4390))|(~element(X4395,the_carrier(X4390))|~relstr_set_smaller(X4390,X4394,X4395))|ex_sup_of_relstr_set(X4390,X4394)|(~antisymmetric_relstr(X4390)|~rel_str(X4390)))&((relstr_set_smaller(X4390,X4394,esk503_3(X4390,X4394,X4395))|(~element(X4395,the_carrier(X4390))|~relstr_set_smaller(X4390,X4394,X4395))|ex_sup_of_relstr_set(X4390,X4394)|(~antisymmetric_relstr(X4390)|~rel_str(X4390)))&(~related(X4390,X4395,esk503_3(X4390,X4394,X4395))|(~element(X4395,the_carrier(X4390))|~relstr_set_smaller(X4390,X4394,X4395))|ex_sup_of_relstr_set(X4390,X4394)|(~antisymmetric_relstr(X4390)|~rel_str(X4390)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[t15_yellow_0])])])])])])).
% 282.28/198.90 cnf(i_0_1925, plain, (element(esk334_3(X1,X2,X3),powerset(powerset(X3)))|in(X2,esk330_1(X1))|epred2_3(esk329_1(X1),esk328_1(X1),esk327_1(X1))|~ordinal(X3)|X2!=X3|~in(X4,succ(X1))|X4!=X2|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928])).
% 282.28/198.90 fof(i_0_1926, plain, ![X3040, X3041, X3042]:(empty_carrier(X3040)|~one_sorted_str(X3040)|(empty_carrier(X3041)|~net_str(X3041,X3040)|(~element(X3042,the_carrier(X3041))|apply_netmap(X3040,X3041,X3042)=apply_on_structs(X3041,X3040,the_mapping(X3040,X3041),X3042)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_973])])])).
% 282.28/198.90 fof(i_0_1927, plain, ![X2767, X2768, X2769, X2770, X2771, X2772, X2773, X2774]:(((~in(X2770,X2769)|(in(X2770,X2767)|in(X2770,X2768))|X2769!=set_union2(X2767,X2768))&((~in(X2771,X2767)|in(X2771,X2769)|X2769!=set_union2(X2767,X2768))&(~in(X2771,X2768)|in(X2771,X2769)|X2769!=set_union2(X2767,X2768))))&(((~in(esk79_3(X2772,X2773,X2774),X2772)|~in(esk79_3(X2772,X2773,X2774),X2774)|X2774=set_union2(X2772,X2773))&(~in(esk79_3(X2772,X2773,X2774),X2773)|~in(esk79_3(X2772,X2773,X2774),X2774)|X2774=set_union2(X2772,X2773)))&(in(esk79_3(X2772,X2773,X2774),X2774)|(in(esk79_3(X2772,X2773,X2774),X2772)|in(esk79_3(X2772,X2773,X2774),X2773))|X2774=set_union2(X2772,X2773)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_xboole_0])])])])])])).
% 282.28/198.90 fof(i_0_1928, lemma, ![X4826, X4827, X4828, X4829, X4830, X4831]:(~rel_str(X4826)|(~full_subrelstr(X4827,X4826)|~subrelstr(X4827,X4826)|(~element(X4828,the_carrier(X4826))|(~element(X4829,the_carrier(X4826))|(~element(X4830,the_carrier(X4827))|(~element(X4831,the_carrier(X4827))|(X4830!=X4828|X4831!=X4829|~related(X4826,X4828,X4829)|~in(X4830,the_carrier(X4827))|~in(X4831,the_carrier(X4827))|related(X4827,X4830,X4831)))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t61_yellow_0])])])).
% 282.28/198.90 fof(i_0_1929, lemma, ![X4479, X4480, X4481, X4482, X4483, X4484, X4485]:(~one_sorted_str(X4479)|(~net_str(X4480,X4479)|(~subnetstr(X4481,X4479,X4480)|(~element(X4482,the_carrier(X4480))|(~element(X4483,the_carrier(X4480))|(~element(X4484,the_carrier(X4481))|(~element(X4485,the_carrier(X4481))|(X4482!=X4484|X4483!=X4485|~related(X4481,X4484,X4485)|related(X4480,X4482,X4483))))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_yellow_6])])])).
% 282.28/198.90 cnf(i_0_1930, plain, (in(ordered_pair(X2,X1),X4)|~in(ordered_pair(X1,X2),X3)|X3!=relation_inverse(X4)|~relation(X3)|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_913])).
% 282.28/198.90 cnf(i_0_1931, plain, (in(ordered_pair(X2,X1),X4)|~in(ordered_pair(X1,X2),X3)|X4!=relation_inverse(X3)|~relation(X4)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_913])).
% 282.28/198.90 cnf(i_0_1932, lemma, (connected(X1)|~in(ordered_pair(esk179_1(X1),esk178_1(X1)),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_974])).
% 282.28/198.90 cnf(i_0_1933, lemma, (connected(X1)|~in(ordered_pair(esk178_1(X1),esk179_1(X1)),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_974])).
% 282.28/198.90 cnf(i_0_1934, lemma, (reflexive(X1)|~in(ordered_pair(esk171_1(X1),esk171_1(X1)),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_975])).
% 282.28/198.90 cnf(i_0_1935, lemma, (transitive(X1)|~in(ordered_pair(esk172_1(X1),esk174_1(X1)),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_956])).
% 282.28/198.90 fof(i_0_1936, plain, ![X3069, X3070, X3071, X3072]:((~is_a_cluster_point_of_netstr(X3069,X3070,X3071)|(~point_neighbourhood(X3072,X3069,X3071)|is_often_in(X3069,X3070,X3072))|~element(X3071,the_carrier(X3069))|(empty_carrier(X3070)|~net_str(X3070,X3069))|(empty_carrier(X3069)|~topological_space(X3069)|~top_str(X3069)))&((point_neighbourhood(esk150_3(X3069,X3070,X3071),X3069,X3071)|is_a_cluster_point_of_netstr(X3069,X3070,X3071)|~element(X3071,the_carrier(X3069))|(empty_carrier(X3070)|~net_str(X3070,X3069))|(empty_carrier(X3069)|~topological_space(X3069)|~top_str(X3069)))&(~is_often_in(X3069,X3070,esk150_3(X3069,X3070,X3071))|is_a_cluster_point_of_netstr(X3069,X3070,X3071)|~element(X3071,the_carrier(X3069))|(empty_carrier(X3070)|~net_str(X3070,X3069))|(empty_carrier(X3069)|~topological_space(X3069)|~top_str(X3069))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_976])])])])])).
% 282.28/198.90 fof(i_0_1937, lemma, ![X3806, X3807, X3809, X3811, X3813, X3814, X3816]:(((in(esk274_2(X3813,X3814),X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(ordinal(esk270_0)|~epred1_0))&(~in(X3816,X3814)|~subset(esk274_2(X3813,X3814),X3816)|X3816=esk274_2(X3813,X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(ordinal(esk270_0)|~epred1_0)))&((((in(esk274_2(X3813,X3814),X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(being_limit_ordinal(esk270_0)|~epred1_0))&(~in(X3816,X3814)|~subset(esk274_2(X3813,X3814),X3816)|X3816=esk274_2(X3813,X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(being_limit_ordinal(esk270_0)|~epred1_0)))&(((in(esk274_2(X3813,X3814),X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(in(esk271_2(X3806,X3807),X3807)|X3807=empty_set|~element(X3807,powerset(powerset(X3806)))|~in(X3806,omega)|~in(X3806,esk270_0)|~ordinal(X3806)|~epred1_0))&(~in(X3816,X3814)|~subset(esk274_2(X3813,X3814),X3816)|X3816=esk274_2(X3813,X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(in(esk271_2(X3806,X3807),X3807)|X3807=empty_set|~element(X3807,powerset(powerset(X3806)))|~in(X3806,omega)|~in(X3806,esk270_0)|~ordinal(X3806)|~epred1_0)))&((in(esk274_2(X3813,X3814),X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(~in(X3809,X3807)|~subset(esk271_2(X3806,X3807),X3809)|X3809=esk271_2(X3806,X3807)|X3807=empty_set|~element(X3807,powerset(powerset(X3806)))|~in(X3806,omega)|~in(X3806,esk270_0)|~ordinal(X3806)|~epred1_0))&(~in(X3816,X3814)|~subset(esk274_2(X3813,X3814),X3816)|X3816=esk274_2(X3813,X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(~in(X3809,X3807)|~subset(esk271_2(X3806,X3807),X3809)|X3809=esk271_2(X3806,X3807)|X3807=empty_set|~element(X3807,powerset(powerset(X3806)))|~in(X3806,omega)|~in(X3806,esk270_0)|~ordinal(X3806)|~epred1_0)))))&(((in(esk274_2(X3813,X3814),X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(esk270_0!=empty_set|~epred1_0))&(~in(X3816,X3814)|~subset(esk274_2(X3813,X3814),X3816)|X3816=esk274_2(X3813,X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(esk270_0!=empty_set|~epred1_0)))&(((in(esk274_2(X3813,X3814),X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(in(esk270_0,omega)|~epred1_0))&(~in(X3816,X3814)|~subset(esk274_2(X3813,X3814),X3816)|X3816=esk274_2(X3813,X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(in(esk270_0,omega)|~epred1_0)))&(((in(esk274_2(X3813,X3814),X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(element(esk272_0,powerset(powerset(esk270_0)))|~epred1_0))&(~in(X3816,X3814)|~subset(esk274_2(X3813,X3814),X3816)|X3816=esk274_2(X3813,X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(element(esk272_0,powerset(powerset(esk270_0)))|~epred1_0)))&(((in(esk274_2(X3813,X3814),X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(esk272_0!=empty_set|~epred1_0))&(~in(X3816,X3814)|~subset(esk274_2(X3813,X3814),X3816)|X3816=esk274_2(X3813,X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(esk272_0!=empty_set|~epred1_0)))&((((in(esk274_2(X3813,X3814),X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(in(esk273_1(X3811),esk272_0)|~in(X3811,esk272_0)|~epred1_0))&(~in(X3816,X3814)|~subset(esk274_2(X3813,X3814),X3816)|X3816=esk274_2(X3813,X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(in(esk273_1(X3811),esk272_0)|~in(X3811,esk272_0)|~epred1_0)))&((in(esk274_2(X3813,X3814),X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(subset(X3811,esk273_1(X3811))|~in(X3811,esk272_0)|~epred1_0))&(~in(X3816,X3814)|~subset(esk274_2(X3813,X3814),X3816)|X3816=esk274_2(X3813,X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(subset(X3811,esk273_1(X3811))|~in(X3811,esk272_0)|~epred1_0))))&((in(esk274_2(X3813,X3814),X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(esk273_1(X3811)!=X3811|~in(X3811,esk272_0)|~epred1_0))&(~in(X3816,X3814)|~subset(esk274_2(X3813,X3814),X3816)|X3816=esk274_2(X3813,X3814)|X3814=empty_set|~element(X3814,powerset(powerset(X3813)))|~in(X3813,omega)|~ordinal(X3813)|(esk273_1(X3811)!=X3811|~in(X3811,esk272_0)|~epred1_0)))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_977])])])])])).
% 282.28/198.90 cnf(i_0_1938, plain, (X1=ordered_pair(esk70_2(X1,X2),esk71_2(X1,X2))|X2=pair_second(X1)|X1!=ordered_pair(X3,X4)), inference(split_conjunct,[status(thm)],[i_0_978])).
% 282.28/198.90 cnf(i_0_1939, plain, (X1=ordered_pair(esk44_2(X1,X2),esk45_2(X1,X2))|X2=pair_first(X1)|X1!=ordered_pair(X3,X4)), inference(split_conjunct,[status(thm)],[i_0_979])).
% 282.28/198.90 fof(i_0_1940, lemma, ![X4274, X4275, X4277, X4279, X4281, X4282, X4284]:(((in(esk492_2(X4281,X4282),X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|ordinal(esk488_0))&(~in(X4284,X4282)|~subset(esk492_2(X4281,X4282),X4284)|X4284=esk492_2(X4281,X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|ordinal(esk488_0)))&((((in(esk492_2(X4281,X4282),X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|(in(esk489_2(X4274,X4275),X4275)|X4275=empty_set|~element(X4275,powerset(powerset(X4274)))|~in(X4274,omega)|~in(X4274,esk488_0)|~ordinal(X4274)))&(~in(X4284,X4282)|~subset(esk492_2(X4281,X4282),X4284)|X4284=esk492_2(X4281,X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|(in(esk489_2(X4274,X4275),X4275)|X4275=empty_set|~element(X4275,powerset(powerset(X4274)))|~in(X4274,omega)|~in(X4274,esk488_0)|~ordinal(X4274))))&((in(esk492_2(X4281,X4282),X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|(~in(X4277,X4275)|~subset(esk489_2(X4274,X4275),X4277)|X4277=esk489_2(X4274,X4275)|X4275=empty_set|~element(X4275,powerset(powerset(X4274)))|~in(X4274,omega)|~in(X4274,esk488_0)|~ordinal(X4274)))&(~in(X4284,X4282)|~subset(esk492_2(X4281,X4282),X4284)|X4284=esk492_2(X4281,X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|(~in(X4277,X4275)|~subset(esk489_2(X4274,X4275),X4277)|X4277=esk489_2(X4274,X4275)|X4275=empty_set|~element(X4275,powerset(powerset(X4274)))|~in(X4274,omega)|~in(X4274,esk488_0)|~ordinal(X4274)))))&(((in(esk492_2(X4281,X4282),X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|in(esk488_0,omega))&(~in(X4284,X4282)|~subset(esk492_2(X4281,X4282),X4284)|X4284=esk492_2(X4281,X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|in(esk488_0,omega)))&(((in(esk492_2(X4281,X4282),X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|element(esk490_0,powerset(powerset(esk488_0))))&(~in(X4284,X4282)|~subset(esk492_2(X4281,X4282),X4284)|X4284=esk492_2(X4281,X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|element(esk490_0,powerset(powerset(esk488_0)))))&(((in(esk492_2(X4281,X4282),X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|esk490_0!=empty_set)&(~in(X4284,X4282)|~subset(esk492_2(X4281,X4282),X4284)|X4284=esk492_2(X4281,X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|esk490_0!=empty_set))&((((in(esk492_2(X4281,X4282),X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|(in(esk491_1(X4279),esk490_0)|~in(X4279,esk490_0)))&(~in(X4284,X4282)|~subset(esk492_2(X4281,X4282),X4284)|X4284=esk492_2(X4281,X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|(in(esk491_1(X4279),esk490_0)|~in(X4279,esk490_0))))&((in(esk492_2(X4281,X4282),X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|(subset(X4279,esk491_1(X4279))|~in(X4279,esk490_0)))&(~in(X4284,X4282)|~subset(esk492_2(X4281,X4282),X4284)|X4284=esk492_2(X4281,X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|(subset(X4279,esk491_1(X4279))|~in(X4279,esk490_0)))))&((in(esk492_2(X4281,X4282),X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|(esk491_1(X4279)!=X4279|~in(X4279,esk490_0)))&(~in(X4284,X4282)|~subset(esk492_2(X4281,X4282),X4284)|X4284=esk492_2(X4281,X4282)|X4282=empty_set|~element(X4282,powerset(powerset(X4281)))|~in(X4281,omega)|~ordinal(X4281)|(esk491_1(X4279)!=X4279|~in(X4279,esk490_0)))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s2_ordinal1__e18_27__finset_1__1])])])])])).
% 282.28/198.90 cnf(i_0_1941, plain, (in(X4,esk323_2(X2,X3))|ordered_pair(esk321_1(X2),esk322_1(X2))=esk318_1(X2)|~in(X1,cartesian_product2(X2,X3))|X1!=X4|ordered_pair(X5,X6)!=X4|~in(X5,X2)|X6!=singleton(X5)), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1942, plain, (in(X4,esk323_2(X2,X3))|ordered_pair(esk319_1(X2),esk320_1(X2))=esk317_1(X2)|~in(X1,cartesian_product2(X2,X3))|X1!=X4|ordered_pair(X5,X6)!=X4|~in(X5,X2)|X6!=singleton(X5)), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1943, plain, (esk326_3(X1,X2,X3)=singleton(esk325_3(X1,X2,X3))|esk322_1(X1)=singleton(esk321_1(X1))|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1944, plain, (esk326_3(X1,X2,X3)=singleton(esk325_3(X1,X2,X3))|esk320_1(X1)=singleton(esk319_1(X1))|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 fof(i_0_1945, lemma, ![X4780, X4781, X4782, X4783, X4784, X4785]:(((relation_dom(X4781)=relation_rng(X4780)|X4781!=function_inverse(X4780)|(~relation(X4781)|~function(X4781))|~one_to_one(X4780)|(~relation(X4780)|~function(X4780)))&(((in(X4783,relation_dom(X4780))|(~in(X4782,relation_rng(X4780))|X4783!=apply(X4781,X4782))|X4781!=function_inverse(X4780)|(~relation(X4781)|~function(X4781))|~one_to_one(X4780)|(~relation(X4780)|~function(X4780)))&(X4782=apply(X4780,X4783)|(~in(X4782,relation_rng(X4780))|X4783!=apply(X4781,X4782))|X4781!=function_inverse(X4780)|(~relation(X4781)|~function(X4781))|~one_to_one(X4780)|(~relation(X4780)|~function(X4780))))&((in(X4784,relation_rng(X4780))|(~in(X4785,relation_dom(X4780))|X4784!=apply(X4780,X4785))|X4781!=function_inverse(X4780)|(~relation(X4781)|~function(X4781))|~one_to_one(X4780)|(~relation(X4780)|~function(X4780)))&(X4785=apply(X4781,X4784)|(~in(X4785,relation_dom(X4780))|X4784!=apply(X4780,X4785))|X4781!=function_inverse(X4780)|(~relation(X4781)|~function(X4781))|~one_to_one(X4780)|(~relation(X4780)|~function(X4780))))))&(((((in(esk536_2(X4780,X4781),relation_dom(X4780))|in(esk533_2(X4780,X4781),relation_rng(X4780))|relation_dom(X4781)!=relation_rng(X4780)|X4781=function_inverse(X4780)|(~relation(X4781)|~function(X4781))|~one_to_one(X4780)|(~relation(X4780)|~function(X4780)))&(esk535_2(X4780,X4781)=apply(X4780,esk536_2(X4780,X4781))|in(esk533_2(X4780,X4781),relation_rng(X4780))|relation_dom(X4781)!=relation_rng(X4780)|X4781=function_inverse(X4780)|(~relation(X4781)|~function(X4781))|~one_to_one(X4780)|(~relation(X4780)|~function(X4780))))&(~in(esk535_2(X4780,X4781),relation_rng(X4780))|esk536_2(X4780,X4781)!=apply(X4781,esk535_2(X4780,X4781))|in(esk533_2(X4780,X4781),relation_rng(X4780))|relation_dom(X4781)!=relation_rng(X4780)|X4781=function_inverse(X4780)|(~relation(X4781)|~function(X4781))|~one_to_one(X4780)|(~relation(X4780)|~function(X4780))))&(((in(esk536_2(X4780,X4781),relation_dom(X4780))|esk534_2(X4780,X4781)=apply(X4781,esk533_2(X4780,X4781))|relation_dom(X4781)!=relation_rng(X4780)|X4781=function_inverse(X4780)|(~relation(X4781)|~function(X4781))|~one_to_one(X4780)|(~relation(X4780)|~function(X4780)))&(esk535_2(X4780,X4781)=apply(X4780,esk536_2(X4780,X4781))|esk534_2(X4780,X4781)=apply(X4781,esk533_2(X4780,X4781))|relation_dom(X4781)!=relation_rng(X4780)|X4781=function_inverse(X4780)|(~relation(X4781)|~function(X4781))|~one_to_one(X4780)|(~relation(X4780)|~function(X4780))))&(~in(esk535_2(X4780,X4781),relation_rng(X4780))|esk536_2(X4780,X4781)!=apply(X4781,esk535_2(X4780,X4781))|esk534_2(X4780,X4781)=apply(X4781,esk533_2(X4780,X4781))|relation_dom(X4781)!=relation_rng(X4780)|X4781=function_inverse(X4780)|(~relation(X4781)|~function(X4781))|~one_to_one(X4780)|(~relation(X4780)|~function(X4780)))))&(((in(esk536_2(X4780,X4781),relation_dom(X4780))|(~in(esk534_2(X4780,X4781),relation_dom(X4780))|esk533_2(X4780,X4781)!=apply(X4780,esk534_2(X4780,X4781)))|relation_dom(X4781)!=relation_rng(X4780)|X4781=function_inverse(X4780)|(~relation(X4781)|~function(X4781))|~one_to_one(X4780)|(~relation(X4780)|~function(X4780)))&(esk535_2(X4780,X4781)=apply(X4780,esk536_2(X4780,X4781))|(~in(esk534_2(X4780,X4781),relation_dom(X4780))|esk533_2(X4780,X4781)!=apply(X4780,esk534_2(X4780,X4781)))|relation_dom(X4781)!=relation_rng(X4780)|X4781=function_inverse(X4780)|(~relation(X4781)|~function(X4781))|~one_to_one(X4780)|(~relation(X4780)|~function(X4780))))&(~in(esk535_2(X4780,X4781),relation_rng(X4780))|esk536_2(X4780,X4781)!=apply(X4781,esk535_2(X4780,X4781))|(~in(esk534_2(X4780,X4781),relation_dom(X4780))|esk533_2(X4780,X4781)!=apply(X4780,esk534_2(X4780,X4781)))|relation_dom(X4781)!=relation_rng(X4780)|X4781=function_inverse(X4780)|(~relation(X4781)|~function(X4781))|~one_to_one(X4780)|(~relation(X4780)|~function(X4780)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[t54_funct_1])])])])])])).
% 282.28/198.90 cnf(i_0_1946, lemma, (X2=X3|in(ordered_pair(X2,X3),X1)|in(ordered_pair(X3,X2),X1)|~connected(X1)|~in(X2,relation_field(X1))|~in(X3,relation_field(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_974])).
% 282.28/198.90 cnf(i_0_1947, plain, (empty(X1)|empty(X2)|ordered_pair_as_product_element(X1,X2,X3,X4)=ordered_pair(X3,X4)|~element(X3,X1)|~element(X4,X2)), inference(split_conjunct,[status(thm)],[i_0_980])).
% 282.28/198.90 cnf(i_0_1948, plain, (esk326_3(X1,X2,X3)=singleton(esk325_3(X1,X2,X3))|in(esk321_1(X1),X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1949, plain, (esk326_3(X1,X2,X3)=singleton(esk325_3(X1,X2,X3))|in(esk319_1(X1),X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1950, plain, (X3=X4|in(ordered_pair(X3,X4),X1)|in(ordered_pair(X4,X3),X1)|~is_connected_in(X1,X2)|~in(X3,X2)|~in(X4,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_941])).
% 282.28/198.90 cnf(i_0_1951, plain, (related(X3,X1,X2)|~in(ordered_pair(X1,X2),the_InternalRel(X3))|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3))|~rel_str(X3)), inference(split_conjunct,[status(thm)],[i_0_981])).
% 282.28/198.90 cnf(i_0_1952, plain, (in(X1,relation_field(X2))|~in(ordered_pair(X1,X3),X2)|~relation_isomorphism(X2,X4,X5)|~relation(X5)|~function(X5)|~relation(X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_895])).
% 282.28/198.90 cnf(i_0_1953, plain, (in(X1,relation_field(X2))|~in(ordered_pair(X3,X1),X2)|~relation_isomorphism(X2,X4,X5)|~relation(X5)|~function(X5)|~relation(X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_895])).
% 282.28/198.90 cnf(i_0_1954, lemma, (in(X1,X2)|in(esk249_2(X2,X4),esk251_2(X2,X4))|empty(X2)|~in(ordered_pair(X1,X3),esk252_2(X2,X4))|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1955, lemma, (in(X1,X2)|in(esk248_2(X2,X4),esk250_2(X2,X4))|empty(X2)|~in(ordered_pair(X1,X3),esk252_2(X2,X4))|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1956, plain, (esk326_3(X1,X2,X3)=singleton(esk325_3(X1,X2,X3))|~in(X3,esk323_2(X1,X2))|esk317_1(X1)!=esk318_1(X1)), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 fof(i_0_1957, plain, ![X3665, X3666, X3667, X3668]:(~function(X3667)|~relation_of2(X3667,X3665,X3666)|partfun_dom_restriction(X3665,X3666,X3667,X3668)=relation_dom_restriction(X3667,X3668)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_partfun1])])).
% 282.28/198.90 cnf(i_0_1958, plain, (esk326_3(X1,X2,X3)=singleton(esk325_3(X1,X2,X3))|esk316_1(X1)=esk318_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1959, plain, (esk326_3(X1,X2,X3)=singleton(esk325_3(X1,X2,X3))|esk316_1(X1)=esk317_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 fof(i_0_1960, plain, ![X2552, X2553, X2554, X2555, X2556]:((~latt_element_smaller(X2552,X2553,X2554)|(~element(X2555,the_carrier(X2552))|(~in(X2555,X2554)|below(X2552,X2555,X2553)))|~element(X2553,the_carrier(X2552))|(empty_carrier(X2552)|~latt_str(X2552)))&((element(esk33_3(X2552,X2553,X2556),the_carrier(X2552))|latt_element_smaller(X2552,X2553,X2556)|~element(X2553,the_carrier(X2552))|(empty_carrier(X2552)|~latt_str(X2552)))&((in(esk33_3(X2552,X2553,X2556),X2556)|latt_element_smaller(X2552,X2553,X2556)|~element(X2553,the_carrier(X2552))|(empty_carrier(X2552)|~latt_str(X2552)))&(~below(X2552,esk33_3(X2552,X2553,X2556),X2553)|latt_element_smaller(X2552,X2553,X2556)|~element(X2553,the_carrier(X2552))|(empty_carrier(X2552)|~latt_str(X2552)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_982])])])])])])).
% 282.28/198.90 fof(i_0_1961, plain, ![X2541, X2542, X2543, X2544, X2545]:((~latt_set_smaller(X2541,X2542,X2543)|(~element(X2544,the_carrier(X2541))|(~in(X2544,X2543)|below(X2541,X2542,X2544)))|~element(X2542,the_carrier(X2541))|(empty_carrier(X2541)|~latt_str(X2541)))&((element(esk31_3(X2541,X2542,X2545),the_carrier(X2541))|latt_set_smaller(X2541,X2542,X2545)|~element(X2542,the_carrier(X2541))|(empty_carrier(X2541)|~latt_str(X2541)))&((in(esk31_3(X2541,X2542,X2545),X2545)|latt_set_smaller(X2541,X2542,X2545)|~element(X2542,the_carrier(X2541))|(empty_carrier(X2541)|~latt_str(X2541)))&(~below(X2541,X2542,esk31_3(X2541,X2542,X2545))|latt_set_smaller(X2541,X2542,X2545)|~element(X2542,the_carrier(X2541))|(empty_carrier(X2541)|~latt_str(X2541)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_983])])])])])])).
% 282.28/198.90 fof(i_0_1962, plain, ![X3060, X3061, X3062, X3063]:((~relstr_set_smaller(X3060,X3061,X3062)|(~element(X3063,the_carrier(X3060))|(~in(X3063,X3061)|related(X3060,X3063,X3062)))|~element(X3062,the_carrier(X3060))|~rel_str(X3060))&((element(esk149_3(X3060,X3061,X3062),the_carrier(X3060))|relstr_set_smaller(X3060,X3061,X3062)|~element(X3062,the_carrier(X3060))|~rel_str(X3060))&((in(esk149_3(X3060,X3061,X3062),X3061)|relstr_set_smaller(X3060,X3061,X3062)|~element(X3062,the_carrier(X3060))|~rel_str(X3060))&(~related(X3060,esk149_3(X3060,X3061,X3062),X3062)|relstr_set_smaller(X3060,X3061,X3062)|~element(X3062,the_carrier(X3060))|~rel_str(X3060))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_lattice3])])])])])).
% 282.28/198.90 fof(i_0_1963, plain, ![X3001, X3002, X3003, X3004]:((~relstr_element_smaller(X3001,X3002,X3003)|(~element(X3004,the_carrier(X3001))|(~in(X3004,X3002)|related(X3001,X3003,X3004)))|~element(X3003,the_carrier(X3001))|~rel_str(X3001))&((element(esk134_3(X3001,X3002,X3003),the_carrier(X3001))|relstr_element_smaller(X3001,X3002,X3003)|~element(X3003,the_carrier(X3001))|~rel_str(X3001))&((in(esk134_3(X3001,X3002,X3003),X3002)|relstr_element_smaller(X3001,X3002,X3003)|~element(X3003,the_carrier(X3001))|~rel_str(X3001))&(~related(X3001,X3003,esk134_3(X3001,X3002,X3003))|relstr_element_smaller(X3001,X3002,X3003)|~element(X3003,the_carrier(X3001))|~rel_str(X3001))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_lattice3])])])])])).
% 282.28/198.90 fof(i_0_1964, plain, ![X3719, X3720, X3721, X3722]:(~relation_of2(X3721,X3719,X3720)|relation_dom_restr_as_relation_of(X3719,X3720,X3721,X3722)=relation_dom_restriction(X3721,X3722)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k8_relset_1])])).
% 282.28/198.90 cnf(i_0_1965, plain, (in(X2,esk330_1(X1))|epred2_3(esk329_1(X1),esk328_1(X1),esk327_1(X1))|esk334_3(X1,X2,X3)!=empty_set|~ordinal(X3)|X2!=X3|~in(X4,succ(X1))|X4!=X2|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928])).
% 282.28/198.90 cnf(i_0_1966, lemma, (esk432_3(X1,X2,X3)=singleton(esk431_3(X1,X2,X3))|~in(X3,esk430_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_936])).
% 282.28/198.90 cnf(i_0_1967, plain, (element(esk334_3(X1,X2,X3),powerset(powerset(X3)))|in(X2,esk330_1(X1))|~ordinal(X3)|X2!=X3|~in(X4,succ(X1))|X4!=X2|esk328_1(X1)!=esk329_1(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928])).
% 282.28/198.90 fof(i_0_1968, plain, ![X2279, X2280]:(~one_sorted_str(X2279)|~net_str(X2280,X2279)|(~strict_net_str(X2280,X2279)|X2280=net_str_of(X2279,the_carrier(X2280),the_InternalRel(X2280),the_mapping(X2279,X2280)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v6_waybel_0])])).
% 282.28/198.90 fof(i_0_1969, lemma, ![X4555, X4556, X4557, X4558]:(~transitive_relstr(X4555)|~rel_str(X4555)|(~element(X4556,the_carrier(X4555))|(~element(X4557,the_carrier(X4555))|(~element(X4558,the_carrier(X4555))|(~related(X4555,X4556,X4557)|~related(X4555,X4557,X4558)|related(X4555,X4556,X4558)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t26_orders_2])])])).
% 282.28/198.90 fof(i_0_1970, plain, ![X2776, X2777, X2778, X2779]:((~transitive_relstr(X2776)|(~element(X2777,the_carrier(X2776))|(~element(X2778,the_carrier(X2776))|(~element(X2779,the_carrier(X2776))|(~related(X2776,X2777,X2778)|~related(X2776,X2778,X2779)|related(X2776,X2777,X2779)))))|~rel_str(X2776))&((element(esk80_1(X2776),the_carrier(X2776))|transitive_relstr(X2776)|~rel_str(X2776))&((element(esk81_1(X2776),the_carrier(X2776))|transitive_relstr(X2776)|~rel_str(X2776))&((element(esk82_1(X2776),the_carrier(X2776))|transitive_relstr(X2776)|~rel_str(X2776))&(((related(X2776,esk80_1(X2776),esk81_1(X2776))|transitive_relstr(X2776)|~rel_str(X2776))&(related(X2776,esk81_1(X2776),esk82_1(X2776))|transitive_relstr(X2776)|~rel_str(X2776)))&(~related(X2776,esk80_1(X2776),esk82_1(X2776))|transitive_relstr(X2776)|~rel_str(X2776))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_yellow_0])])])])])).
% 282.28/198.90 cnf(i_0_1971, lemma, (in(X1,X2)|empty(X2)|~in(ordered_pair(X1,X3),esk252_2(X2,X4))|esk248_2(X2,X4)!=esk249_2(X2,X4)|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1972, lemma, (in(X1,X2)|in(esk247_2(X2,X4),X2)|empty(X2)|~in(ordered_pair(X1,X3),esk252_2(X2,X4))|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1973, lemma, (in(X1,X2)|in(esk247_2(X2,X4),X2)|empty(X2)|~in(ordered_pair(X1,X3),esk252_2(X2,X4))|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1974, plain, (in(esk324_3(X1,X2,X3),cartesian_product2(X1,X2))|ordered_pair(esk321_1(X1),esk322_1(X1))=esk318_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1975, plain, (in(esk324_3(X1,X2,X3),cartesian_product2(X1,X2))|ordered_pair(esk319_1(X1),esk320_1(X1))=esk317_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_1976, lemma, (in(X3,relation_inverse_image(X2,X4))|~in(X1,relation_rng(X2))|~in(ordered_pair(X3,X1),X2)|~in(X1,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_953])).
% 282.28/198.90 cnf(i_0_1977, lemma, (in(X3,relation_image(X2,X4))|~in(X1,relation_dom(X2))|~in(ordered_pair(X1,X3),X2)|~in(X1,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_917])).
% 282.28/198.90 fof(i_0_1978, plain, ![X2360, X2361]:(((((function(X2361)|(~function(X2361)|~v1_partfun1(X2361,X2360,X2360)|~reflexive(X2361)|~quasi_total(X2361,X2360,X2360))|~relation_of2(X2361,X2360,X2360))&(one_to_one(X2361)|(~function(X2361)|~v1_partfun1(X2361,X2360,X2360)|~reflexive(X2361)|~quasi_total(X2361,X2360,X2360))|~relation_of2(X2361,X2360,X2360)))&(quasi_total(X2361,X2360,X2360)|(~function(X2361)|~v1_partfun1(X2361,X2360,X2360)|~reflexive(X2361)|~quasi_total(X2361,X2360,X2360))|~relation_of2(X2361,X2360,X2360)))&(onto(X2361,X2360,X2360)|(~function(X2361)|~v1_partfun1(X2361,X2360,X2360)|~reflexive(X2361)|~quasi_total(X2361,X2360,X2360))|~relation_of2(X2361,X2360,X2360)))&(bijective(X2361,X2360,X2360)|(~function(X2361)|~v1_partfun1(X2361,X2360,X2360)|~reflexive(X2361)|~quasi_total(X2361,X2360,X2360))|~relation_of2(X2361,X2360,X2360))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_funct_2])])])).
% 282.28/198.90 fof(i_0_1979, plain, ![X2351, X2352, X2353]:(((function(X2353)|(~function(X2353)|~one_to_one(X2353)|~quasi_total(X2353,X2351,X2352)|~onto(X2353,X2351,X2352))|~relation_of2(X2353,X2351,X2352))&(quasi_total(X2353,X2351,X2352)|(~function(X2353)|~one_to_one(X2353)|~quasi_total(X2353,X2351,X2352)|~onto(X2353,X2351,X2352))|~relation_of2(X2353,X2351,X2352)))&(bijective(X2353,X2351,X2352)|(~function(X2353)|~one_to_one(X2353)|~quasi_total(X2353,X2351,X2352)|~onto(X2353,X2351,X2352))|~relation_of2(X2353,X2351,X2352))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_funct_2])])])).
% 282.28/198.90 fof(i_0_1980, plain, ![X3933, X3934, X3941, X3944, X3945, X3946]:((((((((in(esk342_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|esk336_2(X3933,X3934)=esk337_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk342_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|esk336_2(X3933,X3934)=esk337_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&((((element(esk343_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|esk336_2(X3933,X3934)=esk337_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk343_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|esk336_2(X3933,X3934)=esk337_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(closed_subset(esk343_3(X3933,X3934,X3941),X3933)|~in(X3941,esk341_2(X3933,X3934))|esk336_2(X3933,X3934)=esk337_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(subset(X3934,X3941)|~in(X3941,esk341_2(X3933,X3934))|esk336_2(X3933,X3934)=esk337_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&(~in(X3945,powerset(the_carrier(X3933)))|X3945!=X3944|(~element(X3946,powerset(the_carrier(X3933)))|X3946!=X3944|~closed_subset(X3946,X3933)|~subset(X3934,X3944))|in(X3944,esk341_2(X3933,X3934))|esk336_2(X3933,X3934)=esk337_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(((((((in(esk342_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|element(esk339_2(X3933,X3934),powerset(the_carrier(X3933)))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk342_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|element(esk339_2(X3933,X3934),powerset(the_carrier(X3933)))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&((((element(esk343_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|element(esk339_2(X3933,X3934),powerset(the_carrier(X3933)))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk343_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|element(esk339_2(X3933,X3934),powerset(the_carrier(X3933)))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(closed_subset(esk343_3(X3933,X3934,X3941),X3933)|~in(X3941,esk341_2(X3933,X3934))|element(esk339_2(X3933,X3934),powerset(the_carrier(X3933)))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(subset(X3934,X3941)|~in(X3941,esk341_2(X3933,X3934))|element(esk339_2(X3933,X3934),powerset(the_carrier(X3933)))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&(~in(X3945,powerset(the_carrier(X3933)))|X3945!=X3944|(~element(X3946,powerset(the_carrier(X3933)))|X3946!=X3944|~closed_subset(X3946,X3933)|~subset(X3934,X3944))|in(X3944,esk341_2(X3933,X3934))|element(esk339_2(X3933,X3934),powerset(the_carrier(X3933)))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&((((in(esk342_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|esk339_2(X3933,X3934)=esk337_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk342_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|esk339_2(X3933,X3934)=esk337_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&((((element(esk343_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|esk339_2(X3933,X3934)=esk337_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk343_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|esk339_2(X3933,X3934)=esk337_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(closed_subset(esk343_3(X3933,X3934,X3941),X3933)|~in(X3941,esk341_2(X3933,X3934))|esk339_2(X3933,X3934)=esk337_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(subset(X3934,X3941)|~in(X3941,esk341_2(X3933,X3934))|esk339_2(X3933,X3934)=esk337_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&(~in(X3945,powerset(the_carrier(X3933)))|X3945!=X3944|(~element(X3946,powerset(the_carrier(X3933)))|X3946!=X3944|~closed_subset(X3946,X3933)|~subset(X3934,X3944))|in(X3944,esk341_2(X3933,X3934))|esk339_2(X3933,X3934)=esk337_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&((((in(esk342_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|closed_subset(esk339_2(X3933,X3934),X3933)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk342_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|closed_subset(esk339_2(X3933,X3934),X3933)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&((((element(esk343_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|closed_subset(esk339_2(X3933,X3934),X3933)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk343_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|closed_subset(esk339_2(X3933,X3934),X3933)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(closed_subset(esk343_3(X3933,X3934,X3941),X3933)|~in(X3941,esk341_2(X3933,X3934))|closed_subset(esk339_2(X3933,X3934),X3933)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(subset(X3934,X3941)|~in(X3941,esk341_2(X3933,X3934))|closed_subset(esk339_2(X3933,X3934),X3933)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&(~in(X3945,powerset(the_carrier(X3933)))|X3945!=X3944|(~element(X3946,powerset(the_carrier(X3933)))|X3946!=X3944|~closed_subset(X3946,X3933)|~subset(X3934,X3944))|in(X3944,esk341_2(X3933,X3934))|closed_subset(esk339_2(X3933,X3934),X3933)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&((((in(esk342_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|subset(X3934,esk337_2(X3933,X3934))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk342_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|subset(X3934,esk337_2(X3933,X3934))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&((((element(esk343_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|subset(X3934,esk337_2(X3933,X3934))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk343_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|subset(X3934,esk337_2(X3933,X3934))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(closed_subset(esk343_3(X3933,X3934,X3941),X3933)|~in(X3941,esk341_2(X3933,X3934))|subset(X3934,esk337_2(X3933,X3934))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(subset(X3934,X3941)|~in(X3941,esk341_2(X3933,X3934))|subset(X3934,esk337_2(X3933,X3934))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&(~in(X3945,powerset(the_carrier(X3933)))|X3945!=X3944|(~element(X3946,powerset(the_carrier(X3933)))|X3946!=X3944|~closed_subset(X3946,X3933)|~subset(X3934,X3944))|in(X3944,esk341_2(X3933,X3934))|subset(X3934,esk337_2(X3933,X3934))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))))&((((in(esk342_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|esk336_2(X3933,X3934)=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk342_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|esk336_2(X3933,X3934)=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&((((element(esk343_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|esk336_2(X3933,X3934)=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk343_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|esk336_2(X3933,X3934)=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(closed_subset(esk343_3(X3933,X3934,X3941),X3933)|~in(X3941,esk341_2(X3933,X3934))|esk336_2(X3933,X3934)=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(subset(X3934,X3941)|~in(X3941,esk341_2(X3933,X3934))|esk336_2(X3933,X3934)=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&(~in(X3945,powerset(the_carrier(X3933)))|X3945!=X3944|(~element(X3946,powerset(the_carrier(X3933)))|X3946!=X3944|~closed_subset(X3946,X3933)|~subset(X3934,X3944))|in(X3944,esk341_2(X3933,X3934))|esk336_2(X3933,X3934)=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&(((((((in(esk342_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|element(esk340_2(X3933,X3934),powerset(the_carrier(X3933)))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk342_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|element(esk340_2(X3933,X3934),powerset(the_carrier(X3933)))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&((((element(esk343_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|element(esk340_2(X3933,X3934),powerset(the_carrier(X3933)))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk343_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|element(esk340_2(X3933,X3934),powerset(the_carrier(X3933)))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(closed_subset(esk343_3(X3933,X3934,X3941),X3933)|~in(X3941,esk341_2(X3933,X3934))|element(esk340_2(X3933,X3934),powerset(the_carrier(X3933)))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(subset(X3934,X3941)|~in(X3941,esk341_2(X3933,X3934))|element(esk340_2(X3933,X3934),powerset(the_carrier(X3933)))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&(~in(X3945,powerset(the_carrier(X3933)))|X3945!=X3944|(~element(X3946,powerset(the_carrier(X3933)))|X3946!=X3944|~closed_subset(X3946,X3933)|~subset(X3934,X3944))|in(X3944,esk341_2(X3933,X3934))|element(esk340_2(X3933,X3934),powerset(the_carrier(X3933)))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&((((in(esk342_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|esk340_2(X3933,X3934)=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk342_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|esk340_2(X3933,X3934)=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&((((element(esk343_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|esk340_2(X3933,X3934)=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk343_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|esk340_2(X3933,X3934)=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(closed_subset(esk343_3(X3933,X3934,X3941),X3933)|~in(X3941,esk341_2(X3933,X3934))|esk340_2(X3933,X3934)=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(subset(X3934,X3941)|~in(X3941,esk341_2(X3933,X3934))|esk340_2(X3933,X3934)=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&(~in(X3945,powerset(the_carrier(X3933)))|X3945!=X3944|(~element(X3946,powerset(the_carrier(X3933)))|X3946!=X3944|~closed_subset(X3946,X3933)|~subset(X3934,X3944))|in(X3944,esk341_2(X3933,X3934))|esk340_2(X3933,X3934)=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&((((in(esk342_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|closed_subset(esk340_2(X3933,X3934),X3933)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk342_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|closed_subset(esk340_2(X3933,X3934),X3933)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&((((element(esk343_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|closed_subset(esk340_2(X3933,X3934),X3933)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk343_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|closed_subset(esk340_2(X3933,X3934),X3933)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(closed_subset(esk343_3(X3933,X3934,X3941),X3933)|~in(X3941,esk341_2(X3933,X3934))|closed_subset(esk340_2(X3933,X3934),X3933)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(subset(X3934,X3941)|~in(X3941,esk341_2(X3933,X3934))|closed_subset(esk340_2(X3933,X3934),X3933)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&(~in(X3945,powerset(the_carrier(X3933)))|X3945!=X3944|(~element(X3946,powerset(the_carrier(X3933)))|X3946!=X3944|~closed_subset(X3946,X3933)|~subset(X3934,X3944))|in(X3944,esk341_2(X3933,X3934))|closed_subset(esk340_2(X3933,X3934),X3933)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&((((in(esk342_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|subset(X3934,esk338_2(X3933,X3934))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk342_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|subset(X3934,esk338_2(X3933,X3934))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&((((element(esk343_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|subset(X3934,esk338_2(X3933,X3934))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk343_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|subset(X3934,esk338_2(X3933,X3934))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(closed_subset(esk343_3(X3933,X3934,X3941),X3933)|~in(X3941,esk341_2(X3933,X3934))|subset(X3934,esk338_2(X3933,X3934))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(subset(X3934,X3941)|~in(X3941,esk341_2(X3933,X3934))|subset(X3934,esk338_2(X3933,X3934))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&(~in(X3945,powerset(the_carrier(X3933)))|X3945!=X3944|(~element(X3946,powerset(the_carrier(X3933)))|X3946!=X3944|~closed_subset(X3946,X3933)|~subset(X3934,X3944))|in(X3944,esk341_2(X3933,X3934))|subset(X3934,esk338_2(X3933,X3934))|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))))&((((in(esk342_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|esk337_2(X3933,X3934)!=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk342_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|esk337_2(X3933,X3934)!=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&((((element(esk343_3(X3933,X3934,X3941),powerset(the_carrier(X3933)))|~in(X3941,esk341_2(X3933,X3934))|esk337_2(X3933,X3934)!=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))&(esk343_3(X3933,X3934,X3941)=X3941|~in(X3941,esk341_2(X3933,X3934))|esk337_2(X3933,X3934)!=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(closed_subset(esk343_3(X3933,X3934,X3941),X3933)|~in(X3941,esk341_2(X3933,X3934))|esk337_2(X3933,X3934)!=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))&(subset(X3934,X3941)|~in(X3941,esk341_2(X3933,X3934))|esk337_2(X3933,X3934)!=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933)))))))&(~in(X3945,powerset(the_carrier(X3933)))|X3945!=X3944|(~element(X3946,powerset(the_carrier(X3933)))|X3946!=X3944|~closed_subset(X3946,X3933)|~subset(X3934,X3944))|in(X3944,esk341_2(X3933,X3934))|esk337_2(X3933,X3934)!=esk338_2(X3933,X3934)|(~topological_space(X3933)|~top_str(X3933)|~element(X3934,powerset(the_carrier(X3933))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e1_40__pre_topc__1])])])])])])).
% 282.28/198.90 fof(i_0_1981, plain, ![X3006, X3007, X3008]:((~meet_absorbing(X3006)|(~element(X3007,the_carrier(X3006))|(~element(X3008,the_carrier(X3006))|join(X3006,meet(X3006,X3007,X3008),X3008)=X3008))|(empty_carrier(X3006)|~latt_str(X3006)))&((element(esk135_1(X3006),the_carrier(X3006))|meet_absorbing(X3006)|(empty_carrier(X3006)|~latt_str(X3006)))&((element(esk136_1(X3006),the_carrier(X3006))|meet_absorbing(X3006)|(empty_carrier(X3006)|~latt_str(X3006)))&(join(X3006,meet(X3006,esk135_1(X3006),esk136_1(X3006)),esk136_1(X3006))!=esk136_1(X3006)|meet_absorbing(X3006)|(empty_carrier(X3006)|~latt_str(X3006)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_984])])])])])).
% 282.28/198.90 cnf(i_0_1982, lemma, (element(esk436_3(X1,X2,X3),powerset(powerset(X3)))|in(X2,esk433_1(X1))|~ordinal(X3)|X2!=X3|~in(X2,succ(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_935])).
% 282.28/198.90 cnf(i_0_1983, plain, (element(esk548_0,powerset(powerset(succ(esk546_0))))|subset(X1,esk545_1(X1))|epred1_0|~in(X1,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985])).
% 282.28/198.90 fof(i_0_1984, lemma, ![X4719, X4720, X4721, X4722]:((~in(X4721,topstr_closure(X4719,X4720))|(~element(X4722,powerset(the_carrier(X4719)))|(~closed_subset(X4722,X4719)|~subset(X4720,X4722)|in(X4721,X4722)))|~in(X4721,the_carrier(X4719))|~element(X4720,powerset(the_carrier(X4719)))|~top_str(X4719))&((element(esk530_3(X4719,X4720,X4721),powerset(the_carrier(X4719)))|in(X4721,topstr_closure(X4719,X4720))|~in(X4721,the_carrier(X4719))|~element(X4720,powerset(the_carrier(X4719)))|~top_str(X4719))&(((closed_subset(esk530_3(X4719,X4720,X4721),X4719)|in(X4721,topstr_closure(X4719,X4720))|~in(X4721,the_carrier(X4719))|~element(X4720,powerset(the_carrier(X4719)))|~top_str(X4719))&(subset(X4720,esk530_3(X4719,X4720,X4721))|in(X4721,topstr_closure(X4719,X4720))|~in(X4721,the_carrier(X4719))|~element(X4720,powerset(the_carrier(X4719)))|~top_str(X4719)))&(~in(X4721,esk530_3(X4719,X4720,X4721))|in(X4721,topstr_closure(X4719,X4720))|~in(X4721,the_carrier(X4719))|~element(X4720,powerset(the_carrier(X4719)))|~top_str(X4719))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t45_pre_topc])])])])])).
% 282.28/198.90 cnf(i_0_1985, plain, (latt_element_smaller(X1,esk68_3(X1,X2,X3),X2)|X3=join_of_latt_set(X1,X2)|empty_carrier(X1)|empty_carrier(X1)|~latt_element_smaller(X1,X3,X2)|~element(X3,the_carrier(X1))|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_972])).
% 282.28/198.90 cnf(i_0_1986, lemma, (in(X1,X2)|esk247_2(X2,X4)=esk251_2(X2,X4)|empty(X2)|~in(ordered_pair(X1,X3),esk252_2(X2,X4))|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1987, lemma, (in(X1,X2)|esk247_2(X2,X4)=esk250_2(X2,X4)|empty(X2)|~in(ordered_pair(X1,X3),esk252_2(X2,X4))|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_891])).
% 282.28/198.90 cnf(i_0_1988, plain, (element(esk548_0,powerset(powerset(succ(esk546_0))))|in(esk545_1(X1),esk544_0)|epred1_0|~in(X1,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985])).
% 282.28/198.90 fof(i_0_1989, plain, ![X2340, X2341, X2342]:((((function(X2342)|(~function(X2342)|~quasi_total(X2342,X2340,X2341)|~bijective(X2342,X2340,X2341))|~relation_of2(X2342,X2340,X2341))&(one_to_one(X2342)|(~function(X2342)|~quasi_total(X2342,X2340,X2341)|~bijective(X2342,X2340,X2341))|~relation_of2(X2342,X2340,X2341)))&(quasi_total(X2342,X2340,X2341)|(~function(X2342)|~quasi_total(X2342,X2340,X2341)|~bijective(X2342,X2340,X2341))|~relation_of2(X2342,X2340,X2341)))&(onto(X2342,X2340,X2341)|(~function(X2342)|~quasi_total(X2342,X2340,X2341)|~bijective(X2342,X2340,X2341))|~relation_of2(X2342,X2340,X2341))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_funct_2])])])).
% 282.28/198.90 fof(i_0_1990, lemma, ![X4288, X4289, X4291, X4293]:((element(esk494_2(X4288,X4289),powerset(powerset(the_carrier(X4288))))|(~topological_space(X4288)|~top_str(X4288)|~element(X4289,powerset(the_carrier(X4288)))))&(((((element(esk495_3(X4288,X4289,X4291),powerset(the_carrier(X4288)))|~in(X4291,esk494_2(X4288,X4289))|~element(X4291,powerset(the_carrier(X4288)))|(~topological_space(X4288)|~top_str(X4288)|~element(X4289,powerset(the_carrier(X4288)))))&(esk495_3(X4288,X4289,X4291)=X4291|~in(X4291,esk494_2(X4288,X4289))|~element(X4291,powerset(the_carrier(X4288)))|(~topological_space(X4288)|~top_str(X4288)|~element(X4289,powerset(the_carrier(X4288))))))&(closed_subset(esk495_3(X4288,X4289,X4291),X4288)|~in(X4291,esk494_2(X4288,X4289))|~element(X4291,powerset(the_carrier(X4288)))|(~topological_space(X4288)|~top_str(X4288)|~element(X4289,powerset(the_carrier(X4288))))))&(subset(X4289,X4291)|~in(X4291,esk494_2(X4288,X4289))|~element(X4291,powerset(the_carrier(X4288)))|(~topological_space(X4288)|~top_str(X4288)|~element(X4289,powerset(the_carrier(X4288))))))&(~element(X4293,powerset(the_carrier(X4288)))|X4293!=X4291|~closed_subset(X4293,X4288)|~subset(X4289,X4291)|in(X4291,esk494_2(X4288,X4289))|~element(X4291,powerset(the_carrier(X4288)))|(~topological_space(X4288)|~top_str(X4288)|~element(X4289,powerset(the_carrier(X4288))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s3_subset_1__e1_40__pre_topc])])])])])])).
% 282.28/198.90 fof(i_0_1991, lemma, ![X4874, X4875, X4876]:((~below_refl(X4874,X4875,X4876)|related_reflexive(poset_of_lattice(X4874),cast_to_el_of_LattPOSet(X4874,X4875),cast_to_el_of_LattPOSet(X4874,X4876))|~element(X4876,the_carrier(X4874))|~element(X4875,the_carrier(X4874))|(empty_carrier(X4874)|~lattice(X4874)|~latt_str(X4874)))&(~related_reflexive(poset_of_lattice(X4874),cast_to_el_of_LattPOSet(X4874,X4875),cast_to_el_of_LattPOSet(X4874,X4876))|below_refl(X4874,X4875,X4876)|~element(X4876,the_carrier(X4874))|~element(X4875,the_carrier(X4874))|(empty_carrier(X4874)|~lattice(X4874)|~latt_str(X4874)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_986])])])])).
% 282.28/198.90 fof(i_0_1992, lemma, ![X4617, X4618, X4619]:((~empty_carrier(preimage_subnetstr(X4617,X4618,X4619))|~is_often_in(X4617,X4618,X4619)|(empty_carrier(X4618)|~transitive_relstr(X4618)|~directed_relstr(X4618)|~net_str(X4618,X4617))|(empty_carrier(X4617)|~one_sorted_str(X4617)))&(directed_relstr(preimage_subnetstr(X4617,X4618,X4619))|~is_often_in(X4617,X4618,X4619)|(empty_carrier(X4618)|~transitive_relstr(X4618)|~directed_relstr(X4618)|~net_str(X4618,X4617))|(empty_carrier(X4617)|~one_sorted_str(X4617)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_987])])])])).
% 282.28/198.90 cnf(i_0_1993, plain, (in(esk420_3(X1,X2,X3),succ(X2))|~in(X3,esk419_2(X1,X2))|esk415_2(X1,X2)!=esk416_2(X1,X2)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 fof(i_0_1994, plain, ![X2547, X2548, X2549]:(((meet(X2547,X2548,X2549)=X2548|~element(X2549,the_carrier(X2547))|X2548!=bottom_of_semilattstr(X2547)|~element(X2548,the_carrier(X2547))|~lower_bounded_semilattstr(X2547)|(empty_carrier(X2547)|~meet_semilatt_str(X2547)))&(meet(X2547,X2549,X2548)=X2548|~element(X2549,the_carrier(X2547))|X2548!=bottom_of_semilattstr(X2547)|~element(X2548,the_carrier(X2547))|~lower_bounded_semilattstr(X2547)|(empty_carrier(X2547)|~meet_semilatt_str(X2547))))&((element(esk32_2(X2547,X2548),the_carrier(X2547))|X2548=bottom_of_semilattstr(X2547)|~element(X2548,the_carrier(X2547))|~lower_bounded_semilattstr(X2547)|(empty_carrier(X2547)|~meet_semilatt_str(X2547)))&(meet(X2547,X2548,esk32_2(X2547,X2548))!=X2548|meet(X2547,esk32_2(X2547,X2548),X2548)!=X2548|X2548=bottom_of_semilattstr(X2547)|~element(X2548,the_carrier(X2547))|~lower_bounded_semilattstr(X2547)|(empty_carrier(X2547)|~meet_semilatt_str(X2547))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_989])])])])])).
% 282.28/198.90 cnf(i_0_1995, plain, (subset(X1,X2)|~in(ordered_pair(X1,X2),X3)|~in(X1,X4)|~in(X2,X4)|X3!=inclusion_relation(X4)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_931])).
% 282.28/198.90 fof(i_0_1996, lemma, ![X4913, X4914]:(empty_carrier(X4913)|~one_sorted_str(X4913)|(~element(X4914,the_carrier(X4913))|apply_as_element(the_carrier(X4913),the_carrier(X4913),identity_on_carrier(X4913),X4914)=X4914)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_990])])])).
% 282.28/198.90 cnf(i_0_1997, plain, (element(esk548_0,powerset(powerset(succ(esk546_0))))|epred1_0|esk545_1(X1)!=X1|~in(X1,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985])).
% 282.28/198.90 cnf(i_0_1998, plain, (in(esk420_3(X1,X2,X3),succ(X2))|in(esk418_2(X1,X2),X1)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 cnf(i_0_1999, plain, (in(esk420_3(X1,X2,X3),succ(X2))|in(esk417_2(X1,X2),X1)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 cnf(i_0_2000, lemma, (subset(X2,X3)|~related_reflexive(boole_POSet(X1),X2,X3)|~element(X3,the_carrier(boole_POSet(X1)))|~element(X2,the_carrier(boole_POSet(X1)))), inference(split_conjunct,[status(thm)],[i_0_991])).
% 282.28/198.90 cnf(i_0_2001, lemma, (boole_POSet(X1)=incl_POSet(powerset(X1))), inference(split_conjunct,[status(thm)],[i_0_992])).
% 282.28/198.90 cnf(i_0_2002, plain, (in(ordered_pair(X2,X3),the_InternalRel(X1))|~related(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_981])).
% 282.28/198.90 fof(i_0_2003, plain, ![X2830, X2831, X2832, X2834, X2836]:(((in(esk95_3(X2830,X2831,X2832),X2832)|(~subset(X2832,X2831)|X2832=empty_set)|~is_well_founded_in(X2830,X2831)|~relation(X2830))&(disjoint(fiber(X2830,esk95_3(X2830,X2831,X2832)),X2832)|(~subset(X2832,X2831)|X2832=empty_set)|~is_well_founded_in(X2830,X2831)|~relation(X2830)))&(((subset(esk96_2(X2830,X2834),X2834)|is_well_founded_in(X2830,X2834)|~relation(X2830))&(esk96_2(X2830,X2834)!=empty_set|is_well_founded_in(X2830,X2834)|~relation(X2830)))&(~in(X2836,esk96_2(X2830,X2834))|~disjoint(fiber(X2830,X2836),esk96_2(X2830,X2834))|is_well_founded_in(X2830,X2834)|~relation(X2830)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_wellord1])])])])])])).
% 282.28/198.90 cnf(i_0_2004, lemma, (in(X1,X2)|~in(ordered_pair(X1,X3),relation_composition(identity_relation(X2),X4))|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_969])).
% 282.28/198.90 fof(i_0_2005, lemma, ![X4728, X4729, X4730, X4731, X4732]:(((in(X4732,X4728)|~in(X4732,relation_inverse_image(X4731,X4730))|X4729=empty_set|(~function(X4731)|~quasi_total(X4731,X4728,X4729)|~relation_of2_as_subset(X4731,X4728,X4729)))&(in(apply(X4731,X4732),X4730)|~in(X4732,relation_inverse_image(X4731,X4730))|X4729=empty_set|(~function(X4731)|~quasi_total(X4731,X4728,X4729)|~relation_of2_as_subset(X4731,X4728,X4729))))&(~in(X4732,X4728)|~in(apply(X4731,X4732),X4730)|in(X4732,relation_inverse_image(X4731,X4730))|X4729=empty_set|(~function(X4731)|~quasi_total(X4731,X4728,X4729)|~relation_of2_as_subset(X4731,X4728,X4729)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_funct_2])])])])).
% 282.28/198.90 fof(i_0_2006, lemma, ![X4820, X4821, X4822, X4823, X4824, X4825]:(~rel_str(X4820)|(~subrelstr(X4821,X4820)|(~element(X4822,the_carrier(X4820))|(~element(X4823,the_carrier(X4820))|(~element(X4824,the_carrier(X4821))|(~element(X4825,the_carrier(X4821))|(X4824!=X4822|X4825!=X4823|~related(X4821,X4824,X4825)|related(X4820,X4822,X4823)))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t60_yellow_0])])])).
% 282.28/198.90 cnf(i_0_2007, plain, (element(esk548_0,powerset(powerset(succ(esk546_0))))|element(esk544_0,powerset(powerset(empty_set)))|epred1_0), inference(split_conjunct,[status(thm)],[i_0_985])).
% 282.28/198.90 fof(i_0_2008, plain, ![X2494, X2496, X2497]:(((element(esk20_1(X2494),the_carrier(X2494))|~lower_bounded_semilattstr(X2494)|(empty_carrier(X2494)|~meet_semilatt_str(X2494)))&((meet(X2494,esk20_1(X2494),X2496)=esk20_1(X2494)|~element(X2496,the_carrier(X2494))|~lower_bounded_semilattstr(X2494)|(empty_carrier(X2494)|~meet_semilatt_str(X2494)))&(meet(X2494,X2496,esk20_1(X2494))=esk20_1(X2494)|~element(X2496,the_carrier(X2494))|~lower_bounded_semilattstr(X2494)|(empty_carrier(X2494)|~meet_semilatt_str(X2494)))))&((element(esk21_2(X2494,X2497),the_carrier(X2494))|~element(X2497,the_carrier(X2494))|lower_bounded_semilattstr(X2494)|(empty_carrier(X2494)|~meet_semilatt_str(X2494)))&(meet(X2494,X2497,esk21_2(X2494,X2497))!=X2497|meet(X2494,esk21_2(X2494,X2497),X2497)!=X2497|~element(X2497,the_carrier(X2494))|lower_bounded_semilattstr(X2494)|(empty_carrier(X2494)|~meet_semilatt_str(X2494))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_993])])])])])).
% 282.28/198.90 fof(i_0_2009, lemma, ![X4854, X4855, X4856, X4857]:((~in(X4856,topstr_closure(X4854,X4855))|(~point_neighbourhood(X4857,X4854,X4856)|~disjoint(X4857,X4855))|~element(X4856,the_carrier(X4854))|~element(X4855,powerset(the_carrier(X4854)))|(empty_carrier(X4854)|~topological_space(X4854)|~top_str(X4854)))&((point_neighbourhood(esk540_3(X4854,X4855,X4856),X4854,X4856)|in(X4856,topstr_closure(X4854,X4855))|~element(X4856,the_carrier(X4854))|~element(X4855,powerset(the_carrier(X4854)))|(empty_carrier(X4854)|~topological_space(X4854)|~top_str(X4854)))&(disjoint(esk540_3(X4854,X4855,X4856),X4855)|in(X4856,topstr_closure(X4854,X4855))|~element(X4856,the_carrier(X4854))|~element(X4855,powerset(the_carrier(X4854)))|(empty_carrier(X4854)|~topological_space(X4854)|~top_str(X4854))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_994])])])])])).
% 282.28/198.90 cnf(i_0_2010, plain, (X2=ordered_pair(esk49_2(X1,X2),esk50_2(X1,X2))|~relation(X1)|~in(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_995])).
% 282.28/198.90 cnf(i_0_2011, plain, (in(esk325_3(X1,X2,X3),X1)|ordered_pair(esk321_1(X1),esk322_1(X1))=esk318_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_2012, plain, (in(esk325_3(X1,X2,X3),X1)|ordered_pair(esk319_1(X1),esk320_1(X1))=esk317_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 fof(i_0_2013, lemma, ![X4200, X4201, X4202, X4204, X4205]:(((in(X4204,powerset(relation_dom(X4202)))|~in(X4204,esk455_3(X4200,X4201,X4202))|(~element(X4201,powerset(powerset(X4200)))|~relation(X4202)|~function(X4202)))&(in(relation_image(X4202,X4204),X4201)|~in(X4204,esk455_3(X4200,X4201,X4202))|(~element(X4201,powerset(powerset(X4200)))|~relation(X4202)|~function(X4202))))&(~in(X4205,powerset(relation_dom(X4202)))|~in(relation_image(X4202,X4205),X4201)|in(X4205,esk455_3(X4200,X4201,X4202))|(~element(X4201,powerset(powerset(X4200)))|~relation(X4202)|~function(X4202)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_xboole_0__e6_27__finset_1])])])])])])).
% 282.28/198.90 fof(i_0_2014, plain, ![X2942, X2943]:((~closed_subset(X2943,X2942)|open_subset(subset_difference(the_carrier(X2942),cast_as_carrier_subset(X2942),X2943),X2942)|~element(X2943,powerset(the_carrier(X2942)))|~top_str(X2942))&(~open_subset(subset_difference(the_carrier(X2942),cast_as_carrier_subset(X2942),X2943),X2942)|closed_subset(X2943,X2942)|~element(X2943,powerset(the_carrier(X2942)))|~top_str(X2942))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_pre_topc])])])])).
% 282.28/198.90 fof(i_0_2015, lemma, ![X4627, X4628, X4629]:(empty_carrier(X4627)|~one_sorted_str(X4627)|(empty_carrier(X4628)|~transitive_relstr(X4628)|~directed_relstr(X4628)|~net_str(X4628,X4627)|(~is_often_in(X4627,X4628,X4629)|subnet(preimage_subnetstr(X4627,X4628,X4629),X4627,X4628)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_996])])])).
% 282.28/198.90 cnf(i_0_2016, lemma, (in(X4,X1)|~upper_relstr_subset(X1,boole_POSet(X2))|~subset(X3,X4)|~subset(X4,X2)|~in(X3,X1)|~element(X1,powerset(the_carrier(boole_POSet(X2))))), inference(split_conjunct,[status(thm)],[i_0_997])).
% 282.28/198.90 cnf(i_0_2017, plain, (in(esk420_3(X1,X2,X3),succ(X2))|ordinal(esk418_2(X1,X2))|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 cnf(i_0_2018, plain, (in(esk420_3(X1,X2,X3),succ(X2))|ordinal(esk417_2(X1,X2))|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 fof(i_0_2019, lemma, ![X4464, X4465, X4466, X4469]:((((element(esk508_3(X4464,X4465,X4466),the_carrier(X4464))|(~finite(X4466)|~element(X4466,powerset(X4465)))|(empty(X4465)|~directed_subset(X4465,X4464))|~element(X4465,powerset(the_carrier(X4464)))|(empty_carrier(X4464)|~transitive_relstr(X4464)|~rel_str(X4464)))&(in(esk508_3(X4464,X4465,X4466),X4465)|(~finite(X4466)|~element(X4466,powerset(X4465)))|(empty(X4465)|~directed_subset(X4465,X4464))|~element(X4465,powerset(the_carrier(X4464)))|(empty_carrier(X4464)|~transitive_relstr(X4464)|~rel_str(X4464))))&(relstr_set_smaller(X4464,X4466,esk508_3(X4464,X4465,X4466))|(~finite(X4466)|~element(X4466,powerset(X4465)))|(empty(X4465)|~directed_subset(X4465,X4464))|~element(X4465,powerset(the_carrier(X4464)))|(empty_carrier(X4464)|~transitive_relstr(X4464)|~rel_str(X4464))))&((((~empty(X4465)|finite(esk509_2(X4464,X4465))|~element(X4465,powerset(the_carrier(X4464)))|(empty_carrier(X4464)|~transitive_relstr(X4464)|~rel_str(X4464)))&(directed_subset(X4465,X4464)|finite(esk509_2(X4464,X4465))|~element(X4465,powerset(the_carrier(X4464)))|(empty_carrier(X4464)|~transitive_relstr(X4464)|~rel_str(X4464))))&((~empty(X4465)|element(esk509_2(X4464,X4465),powerset(X4465))|~element(X4465,powerset(the_carrier(X4464)))|(empty_carrier(X4464)|~transitive_relstr(X4464)|~rel_str(X4464)))&(directed_subset(X4465,X4464)|element(esk509_2(X4464,X4465),powerset(X4465))|~element(X4465,powerset(the_carrier(X4464)))|(empty_carrier(X4464)|~transitive_relstr(X4464)|~rel_str(X4464)))))&((~empty(X4465)|(~element(X4469,the_carrier(X4464))|~in(X4469,X4465)|~relstr_set_smaller(X4464,esk509_2(X4464,X4465),X4469))|~element(X4465,powerset(the_carrier(X4464)))|(empty_carrier(X4464)|~transitive_relstr(X4464)|~rel_str(X4464)))&(directed_subset(X4465,X4464)|(~element(X4469,the_carrier(X4464))|~in(X4469,X4465)|~relstr_set_smaller(X4464,esk509_2(X4464,X4465),X4469))|~element(X4465,powerset(the_carrier(X4464)))|(empty_carrier(X4464)|~transitive_relstr(X4464)|~rel_str(X4464)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_998])])])])])).
% 282.28/198.90 fof(i_0_2020, lemma, ![X4489, X4490, X4491, X4492, X4493]:(~function(X4492)|~quasi_total(X4492,X4489,X4490)|~relation_of2_as_subset(X4492,X4489,X4490)|(~relation(X4493)|~function(X4493)|(~in(X4491,X4489)|(X4490=empty_set|apply(relation_composition(X4492,X4493),X4491)=apply(X4493,apply(X4492,X4491)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_funct_2])])])).
% 282.28/198.90 cnf(i_0_2021, plain, (in(esk420_3(X1,X2,X3),succ(X2))|esk416_2(X1,X2)=esk418_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 cnf(i_0_2022, plain, (in(esk420_3(X1,X2,X3),succ(X2))|esk415_2(X1,X2)=esk417_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 cnf(i_0_2023, plain, (in(esk420_3(X1,X2,X3),succ(X2))|esk414_2(X1,X2)=esk416_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 cnf(i_0_2024, plain, (in(esk420_3(X1,X2,X3),succ(X2))|esk414_2(X1,X2)=esk415_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 cnf(i_0_2025, plain, (~empty_carrier(rel_str_of(singleton(X1),X2))|~relation_of2(X2,singleton(X1),singleton(X1))), inference(split_conjunct,[status(thm)],[i_0_999])).
% 282.28/198.90 cnf(i_0_2026, plain, (in(X1,X5)|~in(ordered_pair(X1,X2),X3)|~in(X2,X4)|X5!=relation_inverse_image(X3,X4)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_908])).
% 282.28/198.90 cnf(i_0_2027, plain, (in(X2,X5)|~in(ordered_pair(X1,X2),X3)|~in(X1,X4)|X5!=relation_image(X3,X4)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_900])).
% 282.28/198.90 cnf(i_0_2028, plain, (element(esk548_0,powerset(powerset(succ(esk546_0))))|in(empty_set,omega)|epred1_0), inference(split_conjunct,[status(thm)],[i_0_985])).
% 282.28/198.90 fof(i_0_2029, plain, ![X2747, X2748, X2749, X2750, X2751, X2752, X2753, X2754]:(((~in(X2750,X2749)|(X2750=X2747|X2750=X2748)|X2749!=unordered_pair(X2747,X2748))&((X2751!=X2747|in(X2751,X2749)|X2749!=unordered_pair(X2747,X2748))&(X2751!=X2748|in(X2751,X2749)|X2749!=unordered_pair(X2747,X2748))))&(((esk75_3(X2752,X2753,X2754)!=X2752|~in(esk75_3(X2752,X2753,X2754),X2754)|X2754=unordered_pair(X2752,X2753))&(esk75_3(X2752,X2753,X2754)!=X2753|~in(esk75_3(X2752,X2753,X2754),X2754)|X2754=unordered_pair(X2752,X2753)))&(in(esk75_3(X2752,X2753,X2754),X2754)|(esk75_3(X2752,X2753,X2754)=X2752|esk75_3(X2752,X2753,X2754)=X2753)|X2754=unordered_pair(X2752,X2753)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tarski])])])])])])).
% 282.28/198.90 cnf(i_0_2030, plain, (in(X4,esk323_2(X2,X3))|esk322_1(X2)=singleton(esk321_1(X2))|~in(X1,cartesian_product2(X2,X3))|X1!=X4|ordered_pair(X5,X6)!=X4|~in(X5,X2)|X6!=singleton(X5)), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_2031, plain, (in(X4,esk323_2(X2,X3))|esk320_1(X2)=singleton(esk319_1(X2))|~in(X1,cartesian_product2(X2,X3))|X1!=X4|ordered_pair(X5,X6)!=X4|~in(X5,X2)|X6!=singleton(X5)), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_2032, plain, (X2=apply(X3,X1)|~in(ordered_pair(X1,X2),X3)|~in(X1,relation_dom(X3))|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_1000])).
% 282.28/198.90 cnf(i_0_2033, plain, (element(esk68_3(X1,X2,X3),the_carrier(X1))|X3=join_of_latt_set(X1,X2)|empty_carrier(X1)|empty_carrier(X1)|~latt_element_smaller(X1,X3,X2)|~element(X3,the_carrier(X1))|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_972])).
% 282.28/198.90 cnf(i_0_2034, plain, (in(X2,esk330_1(X1))|esk334_3(X1,X2,X3)!=empty_set|~ordinal(X3)|X2!=X3|~in(X4,succ(X1))|X4!=X2|esk328_1(X1)!=esk329_1(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928])).
% 282.28/198.90 cnf(i_0_2035, plain, (in(esk97_3(X1,X2,X3),X1)|in(esk97_3(X1,X2,X3),X3)|X3=set_intersection2(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_954])).
% 282.28/198.90 cnf(i_0_2036, plain, (in(esk97_3(X1,X2,X3),X2)|in(esk97_3(X1,X2,X3),X3)|X3=set_intersection2(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_954])).
% 282.28/198.90 cnf(i_0_2037, plain, (element(esk548_0,powerset(powerset(succ(esk546_0))))|epred1_0|esk544_0!=empty_set), inference(split_conjunct,[status(thm)],[i_0_985])).
% 282.28/198.90 fof(i_0_2038, lemma, ![X4639, X4640, X4641, X4642]:(empty_carrier(X4639)|~one_sorted_str(X4639)|(empty_carrier(X4640)|~transitive_relstr(X4640)|~directed_relstr(X4640)|~net_str(X4640,X4639)|(~subnet(X4642,X4639,X4640)|(X4642!=preimage_subnetstr(X4639,X4640,X4641)|is_eventually_in(X4639,X4642,X4641))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1001])])])).
% 282.28/198.90 cnf(i_0_2039, lemma, (X1=singleton(X2)|esk257_1(X3)=singleton(esk255_1(X3))|~in(ordered_pair(X2,X1),esk258_1(X3))), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 cnf(i_0_2040, lemma, (X1=singleton(X2)|esk256_1(X3)=singleton(esk255_1(X3))|~in(ordered_pair(X2,X1),esk258_1(X3))), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 cnf(i_0_2041, lemma, (in(X1,X2)|~in(ordered_pair(X1,X3),cartesian_product2(X2,X4))), inference(split_conjunct,[status(thm)],[i_0_1003])).
% 282.28/198.90 cnf(i_0_2042, lemma, (in(X1,X2)|~in(ordered_pair(X1,X3),cartesian_product2(X2,X4))), inference(split_conjunct,[status(thm)],[i_0_1004])).
% 282.28/198.90 cnf(i_0_2043, lemma, (in(X1,X2)|~in(ordered_pair(X3,X1),cartesian_product2(X4,X2))), inference(split_conjunct,[status(thm)],[i_0_1003])).
% 282.28/198.90 cnf(i_0_2044, lemma, (in(X1,X2)|~in(ordered_pair(X3,X1),cartesian_product2(X4,X2))), inference(split_conjunct,[status(thm)],[i_0_1004])).
% 282.28/198.90 cnf(i_0_2045, lemma, (in(X1,X2)|esk257_1(X2)=singleton(esk255_1(X2))|~in(ordered_pair(X1,X3),esk258_1(X2))), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 cnf(i_0_2046, lemma, (in(X1,X2)|esk256_1(X2)=singleton(esk255_1(X2))|~in(ordered_pair(X1,X3),esk258_1(X2))), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 cnf(i_0_2047, plain, (in(X4,esk323_2(X2,X3))|in(esk321_1(X2),X2)|~in(X1,cartesian_product2(X2,X3))|X1!=X4|ordered_pair(X5,X6)!=X4|~in(X5,X2)|X6!=singleton(X5)), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_2048, plain, (in(X4,esk323_2(X2,X3))|in(esk319_1(X2),X2)|~in(X1,cartesian_product2(X2,X3))|X1!=X4|ordered_pair(X5,X6)!=X4|~in(X5,X2)|X6!=singleton(X5)), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_2049, plain, (in(X1,X2)|~in(ordered_pair(X3,X1),X4)|X4!=relation_rng_restriction(X2,X5)|~relation(X4)|~relation(X5)), inference(split_conjunct,[status(thm)],[i_0_901])).
% 282.28/198.90 cnf(i_0_2050, plain, (in(X1,X2)|~in(ordered_pair(X1,X3),X4)|X4!=relation_dom_restriction(X5,X2)|~relation(X4)|~relation(X5)), inference(split_conjunct,[status(thm)],[i_0_902])).
% 282.28/198.90 fof(i_0_2051, lemma, ![X4150, X4151, X4153, X4154]:(((in(X4153,powerset(the_carrier(X4150)))|~in(X4153,esk440_2(X4150,X4151))|(~topological_space(X4150)|~top_str(X4150)|~element(X4151,powerset(powerset(the_carrier(X4150))))))&(in(set_difference(cast_as_carrier_subset(X4150),X4153),X4151)|~in(X4153,esk440_2(X4150,X4151))|(~topological_space(X4150)|~top_str(X4150)|~element(X4151,powerset(powerset(the_carrier(X4150)))))))&(~in(X4154,powerset(the_carrier(X4150)))|~in(set_difference(cast_as_carrier_subset(X4150),X4154),X4151)|in(X4154,esk440_2(X4150,X4151))|(~topological_space(X4150)|~top_str(X4150)|~element(X4151,powerset(powerset(the_carrier(X4150))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_xboole_0__e2_37_1_1__pre_topc__1])])])])])])).
% 282.28/198.90 fof(i_0_2052, lemma, ![X4294, X4295, X4297]:((element(esk496_2(X4294,X4295),powerset(powerset(the_carrier(X4294))))|(~topological_space(X4294)|~top_str(X4294)|~element(X4295,powerset(powerset(the_carrier(X4294))))))&((~in(X4297,esk496_2(X4294,X4295))|in(set_difference(cast_as_carrier_subset(X4294),X4297),X4295)|~element(X4297,powerset(the_carrier(X4294)))|(~topological_space(X4294)|~top_str(X4294)|~element(X4295,powerset(powerset(the_carrier(X4294))))))&(~in(set_difference(cast_as_carrier_subset(X4294),X4297),X4295)|in(X4297,esk496_2(X4294,X4295))|~element(X4297,powerset(the_carrier(X4294)))|(~topological_space(X4294)|~top_str(X4294)|~element(X4295,powerset(powerset(the_carrier(X4294)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s3_subset_1__e2_37_1_1__pre_topc])])])])])).
% 282.28/198.90 cnf(i_0_2053, lemma, (related_reflexive(boole_POSet(X3),X1,X2)|~subset(X1,X2)|~element(X2,the_carrier(boole_POSet(X3)))|~element(X1,the_carrier(boole_POSet(X3)))), inference(split_conjunct,[status(thm)],[i_0_991])).
% 282.28/198.90 cnf(i_0_2054, plain, (X1=X2|in(X1,X4)|~in(ordered_pair(X1,X2),X3)|X4!=fiber(X3,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_907])).
% 282.28/198.90 cnf(i_0_2055, plain, (in(X3,esk419_2(X5,X2))|~in(X1,succ(X2))|X1!=X3|~ordinal(X4)|X3!=X4|~in(X4,X5)|esk415_2(X5,X2)!=esk416_2(X5,X2)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 cnf(i_0_2056, plain, (in(X1,omega)|in(X2,esk330_1(X4))|epred2_3(esk329_1(X4),esk328_1(X4),esk327_1(X4))|~ordinal(X1)|X2!=X1|~in(X3,succ(X4))|X3!=X2|~ordinal(X4)), inference(split_conjunct,[status(thm)],[i_0_928])).
% 282.28/198.90 cnf(i_0_2057, plain, (in(X4,esk323_2(X2,X3))|~in(X1,cartesian_product2(X2,X3))|X1!=X4|ordered_pair(X5,X6)!=X4|~in(X5,X2)|X6!=singleton(X5)|esk317_1(X2)!=esk318_1(X2)), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_2058, lemma, (X1=singleton(X2)|in(esk255_1(X3),X3)|~in(ordered_pair(X2,X1),esk258_1(X3))), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 cnf(i_0_2059, lemma, (X1=singleton(X2)|in(esk255_1(X3),X3)|~in(ordered_pair(X2,X1),esk258_1(X3))), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 cnf(i_0_2060, lemma, (in(X1,X2)|in(esk255_1(X2),X2)|~in(ordered_pair(X1,X3),esk258_1(X2))), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 cnf(i_0_2061, lemma, (in(X1,X2)|in(esk255_1(X2),X2)|~in(ordered_pair(X1,X3),esk258_1(X2))), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 cnf(i_0_2062, plain, (in(X3,esk419_2(X5,X2))|in(esk418_2(X5,X2),X5)|~in(X1,succ(X2))|X1!=X3|~ordinal(X4)|X3!=X4|~in(X4,X5)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 cnf(i_0_2063, plain, (in(X3,esk419_2(X5,X2))|in(esk417_2(X5,X2),X5)|~in(X1,succ(X2))|X1!=X3|~ordinal(X4)|X3!=X4|~in(X4,X5)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 cnf(i_0_2064, lemma, (in(X2,esk433_1(X1))|esk436_3(X1,X2,X3)!=empty_set|~ordinal(X3)|X2!=X3|~in(X2,succ(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_935])).
% 282.28/198.90 fof(i_0_2065, plain, ![X2702, X2703, X2704, X2705]:((~upper_relstr_subset(X2703,X2702)|(~element(X2704,the_carrier(X2702))|(~element(X2705,the_carrier(X2702))|(~in(X2704,X2703)|~related(X2702,X2704,X2705)|in(X2705,X2703))))|~element(X2703,powerset(the_carrier(X2702)))|~rel_str(X2702))&((element(esk66_2(X2702,X2703),the_carrier(X2702))|upper_relstr_subset(X2703,X2702)|~element(X2703,powerset(the_carrier(X2702)))|~rel_str(X2702))&((element(esk67_2(X2702,X2703),the_carrier(X2702))|upper_relstr_subset(X2703,X2702)|~element(X2703,powerset(the_carrier(X2702)))|~rel_str(X2702))&(((in(esk66_2(X2702,X2703),X2703)|upper_relstr_subset(X2703,X2702)|~element(X2703,powerset(the_carrier(X2702)))|~rel_str(X2702))&(related(X2702,esk66_2(X2702,X2703),esk67_2(X2702,X2703))|upper_relstr_subset(X2703,X2702)|~element(X2703,powerset(the_carrier(X2702)))|~rel_str(X2702)))&(~in(esk67_2(X2702,X2703),X2703)|upper_relstr_subset(X2703,X2702)|~element(X2703,powerset(the_carrier(X2702)))|~rel_str(X2702)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d20_waybel_0])])])])])).
% 282.28/198.90 cnf(i_0_2066, lemma, (in(esk539_3(X1,X2,X3),relation_dom(X2))|X2=relation_dom_restriction(X3,X1)|relation_dom(X2)!=set_intersection2(relation_dom(X3),X1)|~relation(X3)|~function(X3)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_961])).
% 282.28/198.90 fof(i_0_2067, lemma, ![X4143, X4144, X4146, X4148, X4149]:(((in(X4146,powerset(the_carrier(X4143)))|~in(X4146,esk438_2(X4143,X4144))|(~topological_space(X4143)|~top_str(X4143)|~element(X4144,powerset(the_carrier(X4143)))))&((((element(esk439_3(X4143,X4144,X4146),powerset(the_carrier(X4143)))|~in(X4146,esk438_2(X4143,X4144))|(~topological_space(X4143)|~top_str(X4143)|~element(X4144,powerset(the_carrier(X4143)))))&(esk439_3(X4143,X4144,X4146)=X4146|~in(X4146,esk438_2(X4143,X4144))|(~topological_space(X4143)|~top_str(X4143)|~element(X4144,powerset(the_carrier(X4143))))))&(closed_subset(esk439_3(X4143,X4144,X4146),X4143)|~in(X4146,esk438_2(X4143,X4144))|(~topological_space(X4143)|~top_str(X4143)|~element(X4144,powerset(the_carrier(X4143))))))&(subset(X4144,X4146)|~in(X4146,esk438_2(X4143,X4144))|(~topological_space(X4143)|~top_str(X4143)|~element(X4144,powerset(the_carrier(X4143)))))))&(~in(X4148,powerset(the_carrier(X4143)))|(~element(X4149,powerset(the_carrier(X4143)))|X4149!=X4148|~closed_subset(X4149,X4143)|~subset(X4144,X4148))|in(X4148,esk438_2(X4143,X4144))|(~topological_space(X4143)|~top_str(X4143)|~element(X4144,powerset(the_carrier(X4143)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_xboole_0__e1_40__pre_topc__1])])])])])])).
% 282.28/198.90 cnf(i_0_2068, plain, (in(X4,esk323_2(X2,X3))|esk316_1(X2)=esk318_1(X2)|~in(X1,cartesian_product2(X2,X3))|X1!=X4|ordered_pair(X5,X6)!=X4|~in(X5,X2)|X6!=singleton(X5)), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_2069, plain, (in(X4,esk323_2(X2,X3))|esk316_1(X2)=esk317_1(X2)|~in(X1,cartesian_product2(X2,X3))|X1!=X4|ordered_pair(X5,X6)!=X4|~in(X5,X2)|X6!=singleton(X5)), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_2070, lemma, (subset(esk497_2(X1,X2),esk498_2(X1,X2))|upper_relstr_subset(X2,boole_POSet(X1))|~element(X2,powerset(the_carrier(boole_POSet(X1))))), inference(split_conjunct,[status(thm)],[i_0_997])).
% 282.28/198.90 cnf(i_0_2071, lemma, (X1=singleton(X2)|~in(ordered_pair(X2,X1),esk258_1(X3))|esk256_1(X3)!=esk257_1(X3)), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 cnf(i_0_2072, lemma, (in(X1,X2)|~in(ordered_pair(X1,X3),esk258_1(X2))|esk256_1(X2)!=esk257_1(X2)), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 cnf(i_0_2073, lemma, (upper_relstr_subset(X2,boole_POSet(X1))|~in(esk498_2(X1,X2),X2)|~element(X2,powerset(the_carrier(boole_POSet(X1))))), inference(split_conjunct,[status(thm)],[i_0_997])).
% 282.28/198.90 cnf(i_0_2074, lemma, (in(X1,relation_dom(X2))|~in(ordered_pair(X1,X3),X2)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1005])).
% 282.28/198.90 cnf(i_0_2075, plain, (in(X3,esk419_2(X5,X2))|ordinal(esk418_2(X5,X2))|~in(X1,succ(X2))|X1!=X3|~ordinal(X4)|X3!=X4|~in(X4,X5)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 cnf(i_0_2076, plain, (in(X3,esk419_2(X5,X2))|ordinal(esk417_2(X5,X2))|~in(X1,succ(X2))|X1!=X3|~ordinal(X4)|X3!=X4|~in(X4,X5)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 fof(i_0_2077, lemma, ![X4922, X4923, X4924, X4925]:((((function(X4925)|X4923=empty_set|~subset(X4923,X4924)|(~function(X4925)|~quasi_total(X4925,X4922,X4923)|~relation_of2_as_subset(X4925,X4922,X4923)))&(quasi_total(X4925,X4922,X4924)|X4923=empty_set|~subset(X4923,X4924)|(~function(X4925)|~quasi_total(X4925,X4922,X4923)|~relation_of2_as_subset(X4925,X4922,X4923))))&(relation_of2_as_subset(X4925,X4922,X4924)|X4923=empty_set|~subset(X4923,X4924)|(~function(X4925)|~quasi_total(X4925,X4922,X4923)|~relation_of2_as_subset(X4925,X4922,X4923))))&(((function(X4925)|X4922!=empty_set|~subset(X4923,X4924)|(~function(X4925)|~quasi_total(X4925,X4922,X4923)|~relation_of2_as_subset(X4925,X4922,X4923)))&(quasi_total(X4925,X4922,X4924)|X4922!=empty_set|~subset(X4923,X4924)|(~function(X4925)|~quasi_total(X4925,X4922,X4923)|~relation_of2_as_subset(X4925,X4922,X4923))))&(relation_of2_as_subset(X4925,X4922,X4924)|X4922!=empty_set|~subset(X4923,X4924)|(~function(X4925)|~quasi_total(X4925,X4922,X4923)|~relation_of2_as_subset(X4925,X4922,X4923))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_funct_2])])])).
% 282.28/198.90 fof(i_0_2078, lemma, ![X4552, X4553, X4554]:(empty_carrier(X4552)|~join_commutative(X4552)|~join_semilatt_str(X4552)|(~element(X4553,the_carrier(X4552))|(~element(X4554,the_carrier(X4552))|(~below(X4552,X4553,X4554)|~below(X4552,X4554,X4553)|X4553=X4554)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1006])])])).
% 282.28/198.90 fof(i_0_2079, lemma, ![X4620, X4621, X4622]:((~relstr_set_smaller(poset_of_lattice(X4621),X4620,X4622)|latt_element_smaller(X4621,cast_to_el_of_lattice(X4621,X4622),X4620)|~element(X4622,the_carrier(poset_of_lattice(X4621)))|(empty_carrier(X4621)|~lattice(X4621)|~latt_str(X4621)))&(~latt_element_smaller(X4621,cast_to_el_of_lattice(X4621,X4622),X4620)|relstr_set_smaller(poset_of_lattice(X4621),X4620,X4622)|~element(X4622,the_carrier(poset_of_lattice(X4621)))|(empty_carrier(X4621)|~lattice(X4621)|~latt_str(X4621)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1007])])])])).
% 282.28/198.90 fof(i_0_2080, lemma, ![X4576, X4577, X4578]:((~relstr_element_smaller(poset_of_lattice(X4577),X4576,X4578)|latt_set_smaller(X4577,cast_to_el_of_lattice(X4577,X4578),X4576)|~element(X4578,the_carrier(poset_of_lattice(X4577)))|(empty_carrier(X4577)|~lattice(X4577)|~latt_str(X4577)))&(~latt_set_smaller(X4577,cast_to_el_of_lattice(X4577,X4578),X4576)|relstr_element_smaller(poset_of_lattice(X4577),X4576,X4578)|~element(X4578,the_carrier(poset_of_lattice(X4577)))|(empty_carrier(X4577)|~lattice(X4577)|~latt_str(X4577)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1008])])])])).
% 282.28/198.90 cnf(i_0_2081, plain, (in(X3,esk419_2(X5,X2))|esk416_2(X5,X2)=esk418_2(X5,X2)|~in(X1,succ(X2))|X1!=X3|~ordinal(X4)|X3!=X4|~in(X4,X5)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 cnf(i_0_2082, plain, (in(X3,esk419_2(X5,X2))|esk415_2(X5,X2)=esk417_2(X5,X2)|~in(X1,succ(X2))|X1!=X3|~ordinal(X4)|X3!=X4|~in(X4,X5)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 cnf(i_0_2083, plain, (in(X3,esk419_2(X5,X2))|esk414_2(X5,X2)=esk416_2(X5,X2)|~in(X1,succ(X2))|X1!=X3|~ordinal(X4)|X3!=X4|~in(X4,X5)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 cnf(i_0_2084, plain, (in(X3,esk419_2(X5,X2))|esk414_2(X5,X2)=esk415_2(X5,X2)|~in(X1,succ(X2))|X1!=X3|~ordinal(X4)|X3!=X4|~in(X4,X5)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988])).
% 282.28/198.90 fof(i_0_2085, lemma, ![X4510, X4511]:(~one_sorted_str(X4510)|(~element(X4511,powerset(the_carrier(X4510)))|subset_difference(the_carrier(X4510),cast_as_carrier_subset(X4510),subset_difference(the_carrier(X4510),cast_as_carrier_subset(X4510),X4511))=X4511)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t22_pre_topc])])])).
% 282.28/198.90 cnf(i_0_2086, plain, (in(X1,X2)|~in(ordered_pair(X1,X3),X4)|X4!=identity_relation(X2)|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_934])).
% 282.28/198.90 cnf(i_0_2087, plain, (in(X1,X4)|~in(ordered_pair(X1,X2),X3)|X4!=relation_dom(X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_944])).
% 282.28/198.90 cnf(i_0_2088, plain, (in(X2,X4)|~in(ordered_pair(X1,X2),X3)|X4!=relation_rng(X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_918])).
% 282.28/198.90 cnf(i_0_2089, lemma, (in(X1,esk430_2(X2,X3))|~in(X1,cartesian_product2(X2,X3))|ordered_pair(X4,X5)!=X1|~in(X4,X2)|X5!=singleton(X4)), inference(split_conjunct,[status(thm)],[i_0_936])).
% 282.28/198.90 cnf(i_0_2090, lemma, (X1=apply(X2,X3)|~in(ordered_pair(X3,X1),X2)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1005])).
% 282.28/198.90 cnf(i_0_2091, plain, (below(X2,X4,X1)|empty_carrier(X2)|empty_carrier(X2)|~element(X1,the_carrier(X2))|~latt_element_smaller(X2,X1,X3)|X4!=join_of_latt_set(X2,X3)|~element(X4,the_carrier(X2))|~lattice(X2)|~complete_latt_str(X2)|~latt_str(X2)|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_972])).
% 282.28/198.90 cnf(i_0_2092, lemma, (in(X1,relation_rng(X2))|~in(ordered_pair(X3,X1),X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_1009])).
% 282.28/198.90 cnf(i_0_2093, lemma, (in(X1,relation_field(X2))|~in(ordered_pair(X1,X3),X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_1010])).
% 282.28/198.90 cnf(i_0_2094, lemma, (in(X1,relation_field(X2))|~in(ordered_pair(X3,X1),X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_1010])).
% 282.28/198.90 cnf(i_0_2095, lemma, (in(X1,relation_dom(X2))|~in(ordered_pair(X1,X3),X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_1009])).
% 282.28/198.90 fof(i_0_2096, lemma, ![X4542, X4543, X4544]:(~antisymmetric_relstr(X4542)|~rel_str(X4542)|(~element(X4543,the_carrier(X4542))|(~element(X4544,the_carrier(X4542))|(~related(X4542,X4543,X4544)|~related(X4542,X4544,X4543)|X4543=X4544)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_orders_2])])])).
% 282.28/198.90 fof(i_0_2097, plain, ![X3330, X3331, X3332]:((~empty_carrier(netstr_restr_to_element(X3330,X3331,X3332))|(empty_carrier(X3330)|~one_sorted_str(X3330)|empty_carrier(X3331)|~directed_relstr(X3331)|~net_str(X3331,X3330)|~element(X3332,the_carrier(X3331))))&(strict_net_str(netstr_restr_to_element(X3330,X3331,X3332),X3330)|(empty_carrier(X3330)|~one_sorted_str(X3330)|empty_carrier(X3331)|~directed_relstr(X3331)|~net_str(X3331,X3330)|~element(X3332,the_carrier(X3331))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1011])])])).
% 282.28/198.90 cnf(i_0_2098, lemma, (in(ordered_pair(esk177_1(X1),esk176_1(X1)),X1)|antisymmetric(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_966])).
% 282.28/198.90 cnf(i_0_2099, lemma, (in(ordered_pair(esk176_1(X1),esk177_1(X1)),X1)|antisymmetric(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_966])).
% 282.28/198.90 cnf(i_0_2100, lemma, (in(ordered_pair(esk173_1(X1),esk174_1(X1)),X1)|transitive(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_956])).
% 282.28/198.90 cnf(i_0_2101, lemma, (in(ordered_pair(esk172_1(X1),esk173_1(X1)),X1)|transitive(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_956])).
% 282.28/198.90 cnf(i_0_2102, lemma, (being_limit_ordinal(X1)|~in(succ(esk527_1(X1)),X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1012])).
% 282.28/198.90 fof(i_0_2103, lemma, ![X4524, X4525, X4526]:(empty_carrier(X4524)|~meet_commutative(X4524)|~meet_absorbing(X4524)|~latt_str(X4524)|(~element(X4525,the_carrier(X4524))|(~element(X4526,the_carrier(X4524))|below(X4524,meet_commut(X4524,X4525,X4526),X4525)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1013])])])).
% 282.28/198.90 fof(i_0_2104, plain, ![X3445, X3446, X3447, X3449, X3450]:((((element(esk169_3(X3445,X3446,X3447),the_carrier(X3446))|~in(X3445,a_2_3_lattice3(X3446,X3447))|(empty_carrier(X3446)|~lattice(X3446)|~complete_latt_str(X3446)|~latt_str(X3446)))&(X3445=esk169_3(X3445,X3446,X3447)|~in(X3445,a_2_3_lattice3(X3446,X3447))|(empty_carrier(X3446)|~lattice(X3446)|~complete_latt_str(X3446)|~latt_str(X3446))))&(latt_set_smaller(X3446,esk169_3(X3445,X3446,X3447),X3447)|~in(X3445,a_2_3_lattice3(X3446,X3447))|(empty_carrier(X3446)|~lattice(X3446)|~complete_latt_str(X3446)|~latt_str(X3446))))&(~element(X3450,the_carrier(X3446))|X3445!=X3450|~latt_set_smaller(X3446,X3450,X3449)|in(X3445,a_2_3_lattice3(X3446,X3449))|(empty_carrier(X3446)|~lattice(X3446)|~complete_latt_str(X3446)|~latt_str(X3446)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1014])])])])])])).
% 282.28/198.90 fof(i_0_2105, lemma, ![X4847, X4848, X4849, X4850]:(~function(X4850)|~quasi_total(X4850,X4847,X4848)|~relation_of2_as_subset(X4850,X4847,X4848)|(~in(X4849,X4847)|(X4848=empty_set|in(apply(X4850,X4849),relation_rng(X4850))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_funct_2])])).
% 282.28/198.90 cnf(i_0_2106, lemma, (in(ordered_pair(esk537_1(X1),esk538_1(X1)),X1)|X1=empty_set|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_1015])).
% 282.28/198.90 cnf(i_0_2107, plain, (trivial_carrier(rel_str_of(singleton(X1),X2))|~relation_of2(X2,singleton(X1),singleton(X1))), inference(split_conjunct,[status(thm)],[i_0_999])).
% 282.28/198.90 cnf(i_0_2108, plain, (strict_rel_str(rel_str_of(singleton(X1),X2))|~relation_of2(X2,singleton(X1),singleton(X1))), inference(split_conjunct,[status(thm)],[i_0_999])).
% 282.28/198.90 cnf(i_0_2109, plain, (in(ordered_pair(esk39_1(X1),esk41_1(X1)),X1)|function(X1)), inference(split_conjunct,[status(thm)],[i_0_968])).
% 282.28/198.90 cnf(i_0_2110, plain, (in(ordered_pair(esk39_1(X1),esk40_1(X1)),X1)|function(X1)), inference(split_conjunct,[status(thm)],[i_0_968])).
% 282.28/198.90 fof(i_0_2111, plain, ![X2933, X2934, X2935, X2939]:((((element(esk116_3(X2933,X2934,X2935),the_carrier(X2933))|~element(X2935,the_carrier(X2933))|~element(X2934,the_carrier(X2933))|~directed_relstr(X2933)|(empty_carrier(X2933)|~rel_str(X2933)))&(related(X2933,X2934,esk116_3(X2933,X2934,X2935))|~element(X2935,the_carrier(X2933))|~element(X2934,the_carrier(X2933))|~directed_relstr(X2933)|(empty_carrier(X2933)|~rel_str(X2933))))&(related(X2933,X2935,esk116_3(X2933,X2934,X2935))|~element(X2935,the_carrier(X2933))|~element(X2934,the_carrier(X2933))|~directed_relstr(X2933)|(empty_carrier(X2933)|~rel_str(X2933))))&((element(esk117_1(X2933),the_carrier(X2933))|directed_relstr(X2933)|(empty_carrier(X2933)|~rel_str(X2933)))&((element(esk118_1(X2933),the_carrier(X2933))|directed_relstr(X2933)|(empty_carrier(X2933)|~rel_str(X2933)))&(~element(X2939,the_carrier(X2933))|~related(X2933,esk117_1(X2933),X2939)|~related(X2933,esk118_1(X2933),X2939)|directed_relstr(X2933)|(empty_carrier(X2933)|~rel_str(X2933)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1016])])])])])).
% 282.28/198.90 cnf(i_0_2112, plain, (X1=X2|~in(ordered_pair(X1,X2),X3)|X3!=identity_relation(X4)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_934])).
% 282.28/198.90 fof(i_0_2113, plain, ![X2375, X2376, X2377]:((((function(X2377)|(~function(X2377)|~quasi_total(X2377,X2375,X2376))|~relation_of2(X2377,X2375,X2376)|(empty(X2375)|empty(X2376)))&(~empty(X2377)|(~function(X2377)|~quasi_total(X2377,X2375,X2376))|~relation_of2(X2377,X2375,X2376)|(empty(X2375)|empty(X2376))))&(v1_partfun1(X2377,X2375,X2376)|(~function(X2377)|~quasi_total(X2377,X2375,X2376))|~relation_of2(X2377,X2375,X2376)|(empty(X2375)|empty(X2376))))&(quasi_total(X2377,X2375,X2376)|(~function(X2377)|~quasi_total(X2377,X2375,X2376))|~relation_of2(X2377,X2375,X2376)|(empty(X2375)|empty(X2376)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1017])])])])).
% 282.28/198.90 fof(i_0_2114, lemma, ![X4603, X4604, X4605]:((~latt_element_smaller(X4604,X4605,X4603)|relstr_set_smaller(poset_of_lattice(X4604),X4603,cast_to_el_of_LattPOSet(X4604,X4605))|~element(X4605,the_carrier(X4604))|(empty_carrier(X4604)|~lattice(X4604)|~latt_str(X4604)))&(~relstr_set_smaller(poset_of_lattice(X4604),X4603,cast_to_el_of_LattPOSet(X4604,X4605))|latt_element_smaller(X4604,X4605,X4603)|~element(X4605,the_carrier(X4604))|(empty_carrier(X4604)|~lattice(X4604)|~latt_str(X4604)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1018])])])])).
% 282.28/198.90 fof(i_0_2115, lemma, ![X4564, X4565, X4566]:((~latt_set_smaller(X4565,X4566,X4564)|relstr_element_smaller(poset_of_lattice(X4565),X4564,cast_to_el_of_LattPOSet(X4565,X4566))|~element(X4566,the_carrier(X4565))|(empty_carrier(X4565)|~lattice(X4565)|~latt_str(X4565)))&(~relstr_element_smaller(poset_of_lattice(X4565),X4564,cast_to_el_of_LattPOSet(X4565,X4566))|latt_set_smaller(X4565,X4566,X4564)|~element(X4566,the_carrier(X4565))|(empty_carrier(X4565)|~lattice(X4565)|~latt_str(X4565)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1019])])])])).
% 282.28/198.90 cnf(i_0_2116, plain, (in(esk324_3(X1,X2,X3),cartesian_product2(X1,X2))|esk322_1(X1)=singleton(esk321_1(X1))|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_2117, plain, (in(esk324_3(X1,X2,X3),cartesian_product2(X1,X2))|esk320_1(X1)=singleton(esk319_1(X1))|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_2118, lemma, (subset(esk498_2(X1,X2),X1)|upper_relstr_subset(X2,boole_POSet(X1))|~element(X2,powerset(the_carrier(boole_POSet(X1))))), inference(split_conjunct,[status(thm)],[i_0_997])).
% 282.28/198.90 cnf(i_0_2119, lemma, (in(esk497_2(X1,X2),X2)|upper_relstr_subset(X2,boole_POSet(X1))|~element(X2,powerset(the_carrier(boole_POSet(X1))))), inference(split_conjunct,[status(thm)],[i_0_997])).
% 282.28/198.90 fof(i_0_2120, plain, ![X3730, X3731, X3732]:((~below_refl(X3730,X3731,X3732)|below(X3730,X3731,X3732)|(empty_carrier(X3730)|~meet_commutative(X3730)|~meet_absorbing(X3730)|~join_absorbing(X3730)|~latt_str(X3730)|~element(X3731,the_carrier(X3730))|~element(X3732,the_carrier(X3730))))&(~below(X3730,X3731,X3732)|below_refl(X3730,X3731,X3732)|(empty_carrier(X3730)|~meet_commutative(X3730)|~meet_absorbing(X3730)|~join_absorbing(X3730)|~latt_str(X3730)|~element(X3731,the_carrier(X3730))|~element(X3732,the_carrier(X3730))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1020])])])).
% 282.28/198.90 fof(i_0_2121, plain, ![X2367, X2368, X2369]:(((function(X2369)|(~function(X2369)|~quasi_total(X2369,X2367,X2368))|~relation_of2(X2369,X2367,X2368)|empty(X2368))&(v1_partfun1(X2369,X2367,X2368)|(~function(X2369)|~quasi_total(X2369,X2367,X2368))|~relation_of2(X2369,X2367,X2368)|empty(X2368)))&(quasi_total(X2369,X2367,X2368)|(~function(X2369)|~quasi_total(X2369,X2367,X2368))|~relation_of2(X2369,X2367,X2368)|empty(X2368))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1021])])])])).
% 282.28/198.90 cnf(i_0_2122, plain, (esk324_3(X1,X2,X3)=X3|ordered_pair(esk321_1(X1),esk322_1(X1))=esk318_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_2123, plain, (esk324_3(X1,X2,X3)=X3|ordered_pair(esk319_1(X1),esk320_1(X1))=esk317_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_2124, plain, (in(ordered_pair(X1,X2),X3)|~subset(X1,X2)|~in(X1,X4)|~in(X2,X4)|X3!=inclusion_relation(X4)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_931])).
% 282.28/198.90 fof(i_0_2125, lemma, ![X4345, X4346, X4347]:(empty_carrier(X4345)|~one_sorted_str(X4345)|(empty_carrier(X4346)|~net_str(X4346,X4345)|(~element(X4347,the_carrier(X4346))|the_carrier(netstr_restr_to_element(X4345,X4346,X4347))=a_3_0_waybel_9(X4345,X4346,X4347)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1022])])])).
% 282.28/198.90 fof(i_0_2126, plain, ![X3439, X3440, X3441, X3443, X3444]:((((element(esk168_3(X3439,X3440,X3441),the_carrier(X3440))|~in(X3439,a_2_2_lattice3(X3440,X3441))|(empty_carrier(X3440)|~latt_str(X3440)))&(X3439=esk168_3(X3439,X3440,X3441)|~in(X3439,a_2_2_lattice3(X3440,X3441))|(empty_carrier(X3440)|~latt_str(X3440))))&(latt_set_smaller(X3440,esk168_3(X3439,X3440,X3441),X3441)|~in(X3439,a_2_2_lattice3(X3440,X3441))|(empty_carrier(X3440)|~latt_str(X3440))))&(~element(X3444,the_carrier(X3440))|X3439!=X3444|~latt_set_smaller(X3440,X3444,X3443)|in(X3439,a_2_2_lattice3(X3440,X3443))|(empty_carrier(X3440)|~latt_str(X3440)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1023])])])])])])).
% 282.28/198.90 fof(i_0_2127, plain, ![X2315, X2316, X2317]:((function(X2317)|(~function(X2317)|~v1_partfun1(X2317,X2315,X2316))|~relation_of2(X2317,X2315,X2316))&(quasi_total(X2317,X2315,X2316)|(~function(X2317)|~v1_partfun1(X2317,X2315,X2316))|~relation_of2(X2317,X2315,X2316))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_2])])])).
% 282.28/198.90 fof(i_0_2128, plain, ![X2801, X2802, X2805]:(((element(esk88_2(X2801,X2802),powerset(powerset(the_carrier(X2801))))|(~is_a_cover_of_carrier(X2801,X2802)|~open_subsets(X2802,X2801))|~element(X2802,powerset(powerset(the_carrier(X2801))))|~compact_top_space(X2801)|~top_str(X2801))&(((subset(esk88_2(X2801,X2802),X2802)|(~is_a_cover_of_carrier(X2801,X2802)|~open_subsets(X2802,X2801))|~element(X2802,powerset(powerset(the_carrier(X2801))))|~compact_top_space(X2801)|~top_str(X2801))&(is_a_cover_of_carrier(X2801,esk88_2(X2801,X2802))|(~is_a_cover_of_carrier(X2801,X2802)|~open_subsets(X2802,X2801))|~element(X2802,powerset(powerset(the_carrier(X2801))))|~compact_top_space(X2801)|~top_str(X2801)))&(finite(esk88_2(X2801,X2802))|(~is_a_cover_of_carrier(X2801,X2802)|~open_subsets(X2802,X2801))|~element(X2802,powerset(powerset(the_carrier(X2801))))|~compact_top_space(X2801)|~top_str(X2801))))&((element(esk89_1(X2801),powerset(powerset(the_carrier(X2801))))|compact_top_space(X2801)|~top_str(X2801))&(((is_a_cover_of_carrier(X2801,esk89_1(X2801))|compact_top_space(X2801)|~top_str(X2801))&(open_subsets(esk89_1(X2801),X2801)|compact_top_space(X2801)|~top_str(X2801)))&(~element(X2805,powerset(powerset(the_carrier(X2801))))|(~subset(X2805,esk89_1(X2801))|~is_a_cover_of_carrier(X2801,X2805)|~finite(X2805))|compact_top_space(X2801)|~top_str(X2801))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_compts_1])])])])])).
% 282.28/198.90 fof(i_0_2129, plain, ![X2596, X2597, X2598]:((((~quasi_total(X2598,X2596,X2597)|X2596=relation_dom_as_subset(X2596,X2597,X2598)|X2597=empty_set|~relation_of2_as_subset(X2598,X2596,X2597))&(X2596!=relation_dom_as_subset(X2596,X2597,X2598)|quasi_total(X2598,X2596,X2597)|X2597=empty_set|~relation_of2_as_subset(X2598,X2596,X2597)))&((~quasi_total(X2598,X2596,X2597)|X2596=relation_dom_as_subset(X2596,X2597,X2598)|X2596!=empty_set|~relation_of2_as_subset(X2598,X2596,X2597))&(X2596!=relation_dom_as_subset(X2596,X2597,X2598)|quasi_total(X2598,X2596,X2597)|X2596!=empty_set|~relation_of2_as_subset(X2598,X2596,X2597))))&((~quasi_total(X2598,X2596,X2597)|X2598=empty_set|X2596=empty_set|X2597!=empty_set|~relation_of2_as_subset(X2598,X2596,X2597))&(X2598!=empty_set|quasi_total(X2598,X2596,X2597)|X2596=empty_set|X2597!=empty_set|~relation_of2_as_subset(X2598,X2596,X2597)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_funct_2])])])).
% 282.28/198.90 cnf(i_0_2130, plain, (in(esk331_2(X1,X2),succ(X1))|epred2_3(esk329_1(X1),esk328_1(X1),esk327_1(X1))|~in(X2,esk330_1(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928])).
% 282.28/198.90 fof(i_0_2131, plain, ![X2570, X2571, X2572]:((~point_neighbourhood(X2572,X2570,X2571)|in(X2571,interior(X2570,X2572))|~element(X2572,powerset(the_carrier(X2570)))|~element(X2571,the_carrier(X2570))|(empty_carrier(X2570)|~topological_space(X2570)|~top_str(X2570)))&(~in(X2571,interior(X2570,X2572))|point_neighbourhood(X2572,X2570,X2571)|~element(X2572,powerset(the_carrier(X2570)))|~element(X2571,the_carrier(X2570))|(empty_carrier(X2570)|~topological_space(X2570)|~top_str(X2570)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1024])])])])).
% 282.28/198.90 cnf(i_0_2132, lemma, (in(ordered_pair(X1,X3),esk258_1(X2))|esk257_1(X2)=singleton(esk255_1(X2))|~in(X1,X2)|X3!=singleton(X1)), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 cnf(i_0_2133, lemma, (in(ordered_pair(X1,X3),esk258_1(X2))|esk256_1(X2)=singleton(esk255_1(X2))|~in(X1,X2)|X3!=singleton(X1)), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 cnf(i_0_2134, lemma, (in(X1,esk456_2(X4,X2))|~in(X1,succ(X2))|~ordinal(X3)|X1!=X3|~in(X3,X4)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_1025])).
% 282.28/198.90 fof(i_0_2135, lemma, ![X4902, X4903]:((~proper_element(X4903,powerset(the_carrier(X4902)))|~in(bottom_of_relstr(X4902),X4903)|(empty(X4903)|~filtered_subset(X4903,X4902)|~upper_relstr_subset(X4903,X4902)|~element(X4903,powerset(the_carrier(X4902))))|(empty_carrier(X4902)|~reflexive_relstr(X4902)|~transitive_relstr(X4902)|~antisymmetric_relstr(X4902)|~lower_bounded_relstr(X4902)|~rel_str(X4902)))&(in(bottom_of_relstr(X4902),X4903)|proper_element(X4903,powerset(the_carrier(X4902)))|(empty(X4903)|~filtered_subset(X4903,X4902)|~upper_relstr_subset(X4903,X4902)|~element(X4903,powerset(the_carrier(X4902))))|(empty_carrier(X4902)|~reflexive_relstr(X4902)|~transitive_relstr(X4902)|~antisymmetric_relstr(X4902)|~lower_bounded_relstr(X4902)|~rel_str(X4902)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1026])])])])).
% 282.28/198.90 fof(i_0_2136, plain, ![X3733, X3734, X3735]:((~related_reflexive(X3733,X3734,X3735)|related(X3733,X3734,X3735)|(empty_carrier(X3733)|~reflexive_relstr(X3733)|~rel_str(X3733)|~element(X3734,the_carrier(X3733))|~element(X3735,the_carrier(X3733))))&(~related(X3733,X3734,X3735)|related_reflexive(X3733,X3734,X3735)|(empty_carrier(X3733)|~reflexive_relstr(X3733)|~rel_str(X3733)|~element(X3734,the_carrier(X3733))|~element(X3735,the_carrier(X3733))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1027])])])).
% 282.28/198.90 fof(i_0_2137, plain, ![X3383, X3384]:((((strict_rel_str(rel_str_of(X3383,X3384))|(~reflexive(X3384)|~antisymmetric(X3384)|~transitive(X3384)|~v1_partfun1(X3384,X3383,X3383)|~relation_of2(X3384,X3383,X3383)))&(reflexive_relstr(rel_str_of(X3383,X3384))|(~reflexive(X3384)|~antisymmetric(X3384)|~transitive(X3384)|~v1_partfun1(X3384,X3383,X3383)|~relation_of2(X3384,X3383,X3383))))&(transitive_relstr(rel_str_of(X3383,X3384))|(~reflexive(X3384)|~antisymmetric(X3384)|~transitive(X3384)|~v1_partfun1(X3384,X3383,X3383)|~relation_of2(X3384,X3383,X3383))))&(antisymmetric_relstr(rel_str_of(X3383,X3384))|(~reflexive(X3384)|~antisymmetric(X3384)|~transitive(X3384)|~v1_partfun1(X3384,X3383,X3383)|~relation_of2(X3384,X3383,X3383)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_orders_2])])])).
% 282.28/198.90 fof(i_0_2138, lemma, ![X4507, X4508, X4509]:(~relation(X4508)|~function(X4508)|(~relation(X4509)|~function(X4509)|(~in(X4507,relation_dom(relation_composition(X4509,X4508)))|apply(relation_composition(X4509,X4508),X4507)=apply(X4508,apply(X4509,X4507))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t22_funct_1])])])).
% 282.28/198.90 cnf(i_0_2139, plain, (X1=X3|X1!=pair_first(X2)|X2!=ordered_pair(X3,X4)|X2!=ordered_pair(X5,X6)), inference(split_conjunct,[status(thm)],[i_0_979])).
% 282.28/198.90 cnf(i_0_2140, plain, (X1=X4|X1!=pair_second(X2)|X2!=ordered_pair(X3,X4)|X2!=ordered_pair(X5,X6)), inference(split_conjunct,[status(thm)],[i_0_978])).
% 282.28/198.90 fof(i_0_2141, lemma, ![X4710, X4711]:((element(esk529_2(X4710,X4711),powerset(the_carrier(X4710)))|closed_subset(meet_of_subsets(the_carrier(X4710),X4711),X4710)|~element(X4711,powerset(powerset(the_carrier(X4710))))|(~topological_space(X4710)|~top_str(X4710)))&((in(esk529_2(X4710,X4711),X4711)|closed_subset(meet_of_subsets(the_carrier(X4710),X4711),X4710)|~element(X4711,powerset(powerset(the_carrier(X4710))))|(~topological_space(X4710)|~top_str(X4710)))&(~closed_subset(esk529_2(X4710,X4711),X4710)|closed_subset(meet_of_subsets(the_carrier(X4710),X4711),X4710)|~element(X4711,powerset(powerset(the_carrier(X4710))))|(~topological_space(X4710)|~top_str(X4710))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_pre_topc])])])])])).
% 282.28/198.90 fof(i_0_2142, plain, ![X2808, X2809, X2810]:((~below(X2808,X2809,X2810)|join(X2808,X2809,X2810)=X2810|~element(X2810,the_carrier(X2808))|~element(X2809,the_carrier(X2808))|(empty_carrier(X2808)|~join_semilatt_str(X2808)))&(join(X2808,X2809,X2810)!=X2810|below(X2808,X2809,X2810)|~element(X2810,the_carrier(X2808))|~element(X2809,the_carrier(X2808))|(empty_carrier(X2808)|~join_semilatt_str(X2808)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1028])])])])).
% 282.28/198.90 cnf(i_0_2143, lemma, (in(ordered_pair(X1,X3),esk258_1(X2))|in(esk255_1(X2),X2)|~in(X1,X2)|X3!=singleton(X1)), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 cnf(i_0_2144, lemma, (in(ordered_pair(X1,X3),esk258_1(X2))|in(esk255_1(X2),X2)|~in(X1,X2)|X3!=singleton(X1)), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 fof(i_0_2145, plain, ![X3079, X3080, X3081]:(((full_subrelstr(X3081,X3080)|~full_subnetstr(X3081,X3079,X3080)|~subnetstr(X3081,X3079,X3080)|~net_str(X3080,X3079)|~one_sorted_str(X3079))&(subrelstr(X3081,X3080)|~full_subnetstr(X3081,X3079,X3080)|~subnetstr(X3081,X3079,X3080)|~net_str(X3080,X3079)|~one_sorted_str(X3079)))&(~full_subrelstr(X3081,X3080)|~subrelstr(X3081,X3080)|full_subnetstr(X3081,X3079,X3080)|~subnetstr(X3081,X3079,X3080)|~net_str(X3080,X3079)|~one_sorted_str(X3079))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_yellow_6])])])])).
% 282.28/198.90 fof(i_0_2146, plain, ![X3139, X3140, X3141]:(empty_carrier(X3139)|~one_sorted_str(X3139)|~element(X3140,the_carrier(X3139))|~element(X3141,the_carrier(X3139))|element(unordered_pair_as_carrier_subset(X3139,X3140,X3141),powerset(the_carrier(X3139)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1029])])).
% 282.28/198.90 cnf(i_0_2147, lemma, (in(ordered_pair(X1,X3),cartesian_product2(X2,X4))|~in(X1,X2)|~in(X3,X4)), inference(split_conjunct,[status(thm)],[i_0_1003])).
% 282.28/198.90 cnf(i_0_2148, lemma, (in(ordered_pair(X1,X3),cartesian_product2(X2,X4))|~in(X1,X2)|~in(X3,X4)), inference(split_conjunct,[status(thm)],[i_0_1004])).
% 282.28/198.90 cnf(i_0_2149, plain, (in(esk325_3(X1,X2,X3),X1)|esk322_1(X1)=singleton(esk321_1(X1))|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_2150, plain, (in(esk325_3(X1,X2,X3),X1)|esk320_1(X1)=singleton(esk319_1(X1))|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 fof(i_0_2151, plain, ![X2641, X2642, X2643, X2644, X2645, X2647, X2650, X2651, X2652, X2653]:((((~in(X2643,X2642)|(~in(X2644,X2641)|in(X2643,X2644))|X2642!=set_meet(X2641)|X2641=empty_set)&((in(esk53_3(X2641,X2642,X2645),X2641)|in(X2645,X2642)|X2642!=set_meet(X2641)|X2641=empty_set)&(~in(X2645,esk53_3(X2641,X2642,X2645))|in(X2645,X2642)|X2642!=set_meet(X2641)|X2641=empty_set)))&(((in(esk55_2(X2641,X2647),X2641)|~in(esk54_2(X2641,X2647),X2647)|X2647=set_meet(X2641)|X2641=empty_set)&(~in(esk54_2(X2641,X2647),esk55_2(X2641,X2647))|~in(esk54_2(X2641,X2647),X2647)|X2647=set_meet(X2641)|X2641=empty_set))&(in(esk54_2(X2641,X2647),X2647)|(~in(X2650,X2641)|in(esk54_2(X2641,X2647),X2650))|X2647=set_meet(X2641)|X2641=empty_set)))&((X2652!=set_meet(X2651)|X2652=empty_set|X2651!=empty_set)&(X2653!=empty_set|X2653=set_meet(X2651)|X2651!=empty_set))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_setfam_1])])])])])])).
% 282.28/198.90 cnf(i_0_2152, lemma, (in(ordered_pair(X1,X3),X2)|~in(X1,relation_dom(X2))|X3!=apply(X2,X1)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1005])).
% 282.28/198.90 cnf(i_0_2153, plain, (in(ordered_pair(X3,X1),X2)|X1!=apply(X2,X3)|~in(X3,relation_dom(X2))|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1000])).
% 282.28/198.90 fof(i_0_2154, plain, ![X3184, X3185, X3186]:(~relation_of2(X3186,X3184,X3185)|element(relation_rng_as_subset(X3184,X3185,X3186),powerset(X3185))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relset_1])])).
% 282.28/198.90 fof(i_0_2155, plain, ![X3169, X3170, X3171]:(~relation_of2(X3171,X3169,X3170)|element(relation_dom_as_subset(X3169,X3170,X3171),powerset(X3169))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relset_1])])).
% 282.28/198.90 fof(i_0_2156, lemma, ![X4587, X4588, X4589]:((~below(boole_lattice(X4587),X4588,X4589)|subset(X4588,X4589)|~element(X4589,the_carrier(boole_lattice(X4587)))|~element(X4588,the_carrier(boole_lattice(X4587))))&(~subset(X4588,X4589)|below(boole_lattice(X4587),X4588,X4589)|~element(X4589,the_carrier(boole_lattice(X4587)))|~element(X4588,the_carrier(boole_lattice(X4587))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_lattice3])])])])).
% 282.28/198.90 fof(i_0_2157, lemma, ![X4700, X4701, X4702]:(empty_carrier(X4700)|~topological_space(X4700)|~top_str(X4700)|(empty_carrier(X4701)|~transitive_relstr(X4701)|~directed_relstr(X4701)|~net_str(X4701,X4700)|(~subnet(X4702,X4700,X4701)|subset(lim_points_of_net(X4700,X4701),lim_points_of_net(X4700,X4702))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1030])])])).
% 282.28/198.90 cnf(i_0_2158, plain, (in(X1,omega)|in(X2,esk330_1(X4))|~ordinal(X1)|X2!=X1|~in(X3,succ(X4))|X3!=X2|esk328_1(X4)!=esk329_1(X4)|~ordinal(X4)), inference(split_conjunct,[status(thm)],[i_0_928])).
% 282.28/198.90 cnf(i_0_2159, plain, (apply_binary(X1,X2,X3)=apply(X1,ordered_pair(X2,X3))|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1031])).
% 282.28/198.90 fof(i_0_2160, lemma, ![X4581, X4582, X4583]:(empty_carrier(X4581)|~topological_space(X4581)|~top_str(X4581)|(empty_carrier(X4582)|~transitive_relstr(X4582)|~directed_relstr(X4582)|~net_str(X4582,X4581)|(~element(X4583,the_carrier(X4581))|(~in(X4583,lim_points_of_net(X4581,X4582))|is_a_cluster_point_of_netstr(X4581,X4582,X4583))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1032])])])).
% 282.28/198.90 fof(i_0_2161, plain, ![X3165, X3166, X3167]:(empty_carrier(X3165)|~meet_commutative(X3165)|~meet_semilatt_str(X3165)|~element(X3166,the_carrier(X3165))|~element(X3167,the_carrier(X3165))|element(meet_commut(X3165,X3166,X3167),the_carrier(X3165))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1033])])).
% 282.28/198.90 fof(i_0_2162, plain, ![X3149, X3150, X3151]:(empty_carrier(X3149)|~join_commutative(X3149)|~join_semilatt_str(X3149)|~element(X3150,the_carrier(X3149))|~element(X3151,the_carrier(X3149))|element(join_commut(X3149,X3150,X3151),the_carrier(X3149))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1034])])).
% 282.28/198.90 cnf(i_0_2163, plain, (~empty(ordered_pair(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_1035])).
% 282.28/198.90 cnf(i_0_2164, lemma, (in(ordered_pair(X1,X3),esk258_1(X2))|~in(X1,X2)|X3!=singleton(X1)|esk256_1(X2)!=esk257_1(X2)), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.90 cnf(i_0_2165, lemma, (X1=X2|ordered_pair(X1,X3)!=ordered_pair(X2,X4)), inference(split_conjunct,[status(thm)],[i_0_1036])).
% 282.28/198.90 cnf(i_0_2166, lemma, (X1=X2|ordered_pair(X3,X1)!=ordered_pair(X4,X2)), inference(split_conjunct,[status(thm)],[i_0_1036])).
% 282.28/198.90 fof(i_0_2167, plain, ![X2758, X2759, X2760]:((~closed_subsets(X2759,X2758)|(~element(X2760,powerset(the_carrier(X2758)))|(~in(X2760,X2759)|closed_subset(X2760,X2758)))|~element(X2759,powerset(powerset(the_carrier(X2758))))|~top_str(X2758))&((element(esk76_2(X2758,X2759),powerset(the_carrier(X2758)))|closed_subsets(X2759,X2758)|~element(X2759,powerset(powerset(the_carrier(X2758))))|~top_str(X2758))&((in(esk76_2(X2758,X2759),X2759)|closed_subsets(X2759,X2758)|~element(X2759,powerset(powerset(the_carrier(X2758))))|~top_str(X2758))&(~closed_subset(esk76_2(X2758,X2759),X2758)|closed_subsets(X2759,X2758)|~element(X2759,powerset(powerset(the_carrier(X2758))))|~top_str(X2758))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tops_2])])])])])).
% 282.28/198.90 fof(i_0_2168, plain, ![X2664, X2665, X2666]:((~open_subsets(X2665,X2664)|(~element(X2666,powerset(the_carrier(X2664)))|(~in(X2666,X2665)|open_subset(X2666,X2664)))|~element(X2665,powerset(powerset(the_carrier(X2664))))|~top_str(X2664))&((element(esk57_2(X2664,X2665),powerset(the_carrier(X2664)))|open_subsets(X2665,X2664)|~element(X2665,powerset(powerset(the_carrier(X2664))))|~top_str(X2664))&((in(esk57_2(X2664,X2665),X2665)|open_subsets(X2665,X2664)|~element(X2665,powerset(powerset(the_carrier(X2664))))|~top_str(X2664))&(~open_subset(esk57_2(X2664,X2665),X2664)|open_subsets(X2665,X2664)|~element(X2665,powerset(powerset(the_carrier(X2664))))|~top_str(X2664))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tops_2])])])])])).
% 282.28/198.90 fof(i_0_2169, lemma, ![X4486, X4487, X4488]:(((in(X4486,relation_dom(X4488))|~in(X4486,relation_dom(relation_composition(X4488,X4487)))|(~relation(X4488)|~function(X4488))|(~relation(X4487)|~function(X4487)))&(in(apply(X4488,X4486),relation_dom(X4487))|~in(X4486,relation_dom(relation_composition(X4488,X4487)))|(~relation(X4488)|~function(X4488))|(~relation(X4487)|~function(X4487))))&(~in(X4486,relation_dom(X4488))|~in(apply(X4488,X4486),relation_dom(X4487))|in(X4486,relation_dom(relation_composition(X4488,X4487)))|(~relation(X4488)|~function(X4488))|(~relation(X4487)|~function(X4487)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_funct_1])])])])).
% 282.28/198.90 fof(i_0_2170, plain, ![X3106, X3107, X3108]:(empty_carrier(X3106)|~join_semilatt_str(X3106)|~element(X3107,the_carrier(X3106))|~element(X3108,the_carrier(X3106))|element(join(X3106,X3107,X3108),the_carrier(X3106))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1037])])).
% 282.28/198.90 fof(i_0_2171, plain, ![X3131, X3132, X3133]:(empty_carrier(X3131)|~meet_semilatt_str(X3131)|~element(X3132,the_carrier(X3131))|~element(X3133,the_carrier(X3131))|element(meet(X3131,X3132,X3133),the_carrier(X3131))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1038])])).
% 282.28/198.90 cnf(i_0_2172, lemma, (meet(boole_lattice(X1),X2,X3)=set_intersection2(X2,X3)|~element(X3,the_carrier(boole_lattice(X1)))|~element(X2,the_carrier(boole_lattice(X1)))), inference(split_conjunct,[status(thm)],[i_0_1039])).
% 282.28/198.90 fof(i_0_2173, lemma, ![X4733, X4734, X4736]:(((element(esk531_2(X4733,X4734),powerset(powerset(the_carrier(X4733))))|~element(X4734,powerset(the_carrier(X4733)))|(~topological_space(X4733)|~top_str(X4733)))&(((closed_subset(X4736,X4733)|~in(X4736,esk531_2(X4733,X4734))|~element(X4736,powerset(the_carrier(X4733)))|~element(X4734,powerset(the_carrier(X4733)))|(~topological_space(X4733)|~top_str(X4733)))&(subset(X4734,X4736)|~in(X4736,esk531_2(X4733,X4734))|~element(X4736,powerset(the_carrier(X4733)))|~element(X4734,powerset(the_carrier(X4733)))|(~topological_space(X4733)|~top_str(X4733))))&(~closed_subset(X4736,X4733)|~subset(X4734,X4736)|in(X4736,esk531_2(X4733,X4734))|~element(X4736,powerset(the_carrier(X4733)))|~element(X4734,powerset(the_carrier(X4733)))|(~topological_space(X4733)|~top_str(X4733)))))&(topstr_closure(X4733,X4734)=meet_of_subsets(the_carrier(X4733),esk531_2(X4733,X4734))|~element(X4734,powerset(the_carrier(X4733)))|(~topological_space(X4733)|~top_str(X4733)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_pre_topc])])])])])).
% 282.28/198.90 fof(i_0_2174, lemma, ![X4806, X4807, X4808]:(empty_carrier(X4806)|~topological_space(X4806)|~top_str(X4806)|(~element(X4807,powerset(the_carrier(X4806)))|(~element(X4808,the_carrier(X4806))|(~open_subset(X4807,X4806)|~in(X4808,X4807)|point_neighbourhood(X4807,X4806,X4808))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1040])])])).
% 282.28/198.90 fof(i_0_2175, lemma, ![X4898, X4899, X4900, X4901]:((~is_eventually_in(X4898,X4899,X4900)|is_eventually_in(X4898,X4899,X4901)|~subset(X4900,X4901)|(empty_carrier(X4899)|~net_str(X4899,X4898))|(empty_carrier(X4898)|~one_sorted_str(X4898)))&(~is_often_in(X4898,X4899,X4900)|is_often_in(X4898,X4899,X4901)|~subset(X4900,X4901)|(empty_carrier(X4899)|~net_str(X4899,X4898))|(empty_carrier(X4898)|~one_sorted_str(X4898)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1041])])])])).
% 282.28/198.90 fof(i_0_2176, lemma, ![X3526, X3527, X3528]:((~in(X3528,subset_complement(the_carrier(X3526),X3527))|~in(X3528,X3527)|~element(X3528,the_carrier(X3526))|~element(X3527,powerset(the_carrier(X3526)))|(empty_carrier(X3526)|~one_sorted_str(X3526)))&(in(X3528,X3527)|in(X3528,subset_complement(the_carrier(X3526),X3527))|~element(X3528,the_carrier(X3526))|~element(X3527,powerset(the_carrier(X3526)))|(empty_carrier(X3526)|~one_sorted_str(X3526)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1042])])])])).
% 282.28/198.90 fof(i_0_2177, plain, ![X3154, X3155, X3156]:(empty_carrier(X3154)|~one_sorted_str(X3154)|empty_carrier(X3155)|~net_str(X3155,X3154)|~element(X3156,the_carrier(X3155))|element(apply_netmap(X3154,X3155,X3156),the_carrier(X3154))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1043])])).
% 282.28/198.90 fof(i_0_2178, plain, ![X3306, X3307, X3308]:(((transitive_relstr(preimage_subnetstr(X3306,X3307,X3308))|(~one_sorted_str(X3306)|~transitive_relstr(X3307)|~net_str(X3307,X3306)))&(strict_net_str(preimage_subnetstr(X3306,X3307,X3308),X3306)|(~one_sorted_str(X3306)|~transitive_relstr(X3307)|~net_str(X3307,X3306))))&(full_subnetstr(preimage_subnetstr(X3306,X3307,X3308),X3306,X3307)|(~one_sorted_str(X3306)|~transitive_relstr(X3307)|~net_str(X3307,X3306)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc17_yellow_6])])])).
% 282.28/198.90 cnf(i_0_2179, plain, (in(ordered_pair(X1,X2),X3)|~in(X1,X4)|X4!=fiber(X3,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_907])).
% 282.28/198.90 cnf(i_0_2180, plain, (in(ordered_pair(X3,X3),X1)|~is_reflexive_in(X1,X2)|~in(X3,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_939])).
% 282.28/198.90 cnf(i_0_2181, lemma, (in(X1,omega)|in(X2,esk433_1(X3))|~ordinal(X1)|X2!=X1|~in(X2,succ(X3))|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_935])).
% 282.28/198.90 fof(i_0_2182, plain, ![X2662, X2663]:(~top_str(X2662)|(~element(X2663,powerset(the_carrier(X2662)))|interior(X2662,X2663)=subset_complement(the_carrier(X2662),topstr_closure(X2662,subset_complement(the_carrier(X2662),X2663))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tops_1])])])).
% 282.28/198.90 fof(i_0_2183, lemma, ![X4573, X4574, X4575]:(empty_carrier(X4573)|~one_sorted_str(X4573)|(empty_carrier(X4574)|~transitive_relstr(X4574)|~directed_relstr(X4574)|~net_str(X4574,X4573)|(~is_eventually_in(X4573,X4574,X4575)|is_often_in(X4573,X4574,X4575)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1044])])])).
% 282.28/198.90 fof(i_0_2184, lemma, ![X4410, X4411]:((~closed_subsets(X4411,X4410)|open_subsets(complements_of_subsets(the_carrier(X4410),X4411),X4410)|~element(X4411,powerset(powerset(the_carrier(X4410))))|~top_str(X4410))&(~open_subsets(complements_of_subsets(the_carrier(X4410),X4411),X4410)|closed_subsets(X4411,X4410)|~element(X4411,powerset(powerset(the_carrier(X4410))))|~top_str(X4410))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_tops_2])])])])).
% 282.28/198.90 fof(i_0_2185, lemma, ![X4436, X4437]:((~open_subsets(X4437,X4436)|closed_subsets(complements_of_subsets(the_carrier(X4436),X4437),X4436)|~element(X4437,powerset(powerset(the_carrier(X4436))))|~top_str(X4436))&(~closed_subsets(complements_of_subsets(the_carrier(X4436),X4437),X4436)|open_subsets(X4437,X4436)|~element(X4437,powerset(powerset(the_carrier(X4436))))|~top_str(X4436))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_tops_2])])])])).
% 282.28/198.90 cnf(i_0_2186, lemma, (subset(set_intersection2(X1,X3),set_intersection2(X2,X3))|~subset(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1045])).
% 282.28/198.90 fof(i_0_2187, plain, ![X3672, X3673, X3674]:(empty_carrier(X3672)|~join_commutative(X3672)|~join_semilatt_str(X3672)|~element(X3673,the_carrier(X3672))|~element(X3674,the_carrier(X3672))|join_commut(X3672,X3673,X3674)=join(X3672,X3673,X3674)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1046])])).
% 282.28/198.90 fof(i_0_2188, plain, ![X3679, X3680, X3681]:(empty_carrier(X3679)|~meet_commutative(X3679)|~meet_semilatt_str(X3679)|~element(X3680,the_carrier(X3679))|~element(X3681,the_carrier(X3679))|meet_commut(X3679,X3680,X3681)=meet(X3679,X3680,X3681)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1047])])).
% 282.28/198.90 fof(i_0_2189, plain, ![X2400, X2401, X2402]:(empty_carrier(X2400)|~meet_commutative(X2400)|~meet_semilatt_str(X2400)|~element(X2401,the_carrier(X2400))|~element(X2402,the_carrier(X2400))|meet_commut(X2400,X2401,X2402)=meet_commut(X2400,X2402,X2401)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1048])])).
% 282.28/198.90 fof(i_0_2190, plain, ![X2395, X2396, X2397]:(empty_carrier(X2395)|~join_commutative(X2395)|~join_semilatt_str(X2395)|~element(X2396,the_carrier(X2395))|~element(X2397,the_carrier(X2395))|join_commut(X2395,X2396,X2397)=join_commut(X2395,X2397,X2396)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1049])])).
% 282.28/198.90 fof(i_0_2191, plain, ![X3192, X3193, X3194]:((strict_net_str(netstr_restr_to_element(X3192,X3193,X3194),X3192)|(empty_carrier(X3192)|~one_sorted_str(X3192)|empty_carrier(X3193)|~net_str(X3193,X3192)|~element(X3194,the_carrier(X3193))))&(net_str(netstr_restr_to_element(X3192,X3193,X3194),X3192)|(empty_carrier(X3192)|~one_sorted_str(X3192)|empty_carrier(X3193)|~net_str(X3193,X3192)|~element(X3194,the_carrier(X3193))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1050])])])).
% 282.28/198.90 fof(i_0_2192, plain, ![X3201, X3202, X3203]:(~element(X3202,powerset(X3201))|~element(X3203,powerset(X3201))|element(subset_difference(X3201,X3202,X3203),powerset(X3201))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_subset_1])])).
% 282.28/198.90 fof(i_0_2193, plain, ![X3189, X3190, X3191]:(~element(X3190,powerset(X3189))|~element(X3191,powerset(X3189))|element(subset_intersection2(X3189,X3190,X3191),powerset(X3189))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_subset_1])])).
% 282.28/198.90 fof(i_0_2194, plain, ![X3172, X3173, X3174]:(~element(X3173,powerset(X3172))|~element(X3174,powerset(X3172))|element(subset_union2(X3172,X3173,X3174),powerset(X3172))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_subset_1])])).
% 282.28/198.90 fof(i_0_2195, plain, ![X3204, X3205, X3206]:((strict_net_str(preimage_subnetstr(X3204,X3205,X3206),X3204)|(~one_sorted_str(X3204)|~net_str(X3205,X3204)))&(subnetstr(preimage_subnetstr(X3204,X3205,X3206),X3204,X3205)|(~one_sorted_str(X3204)|~net_str(X3205,X3204)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_yellow_6])])])).
% 282.28/198.90 cnf(i_0_2196, lemma, (in(ordered_pair(X2,X2),X1)|~reflexive(X1)|~in(X2,relation_field(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_975])).
% 282.28/198.90 cnf(i_0_2197, plain, (in(X5,X6)|~in(X1,X2)|~in(X3,X4)|X5!=ordered_pair(X1,X3)|X6!=cartesian_product2(X2,X4)), inference(split_conjunct,[status(thm)],[i_0_904])).
% 282.28/198.90 cnf(i_0_2198, plain, (in(ordered_pair(X1,X3),X4)|~in(X1,X2)|X1!=X3|X4!=identity_relation(X2)|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_934])).
% 282.28/198.90 fof(i_0_2199, plain, ![X2388, X2389, X2390]:(empty_carrier(X2388)|~one_sorted_str(X2388)|~element(X2389,the_carrier(X2388))|~element(X2390,the_carrier(X2388))|unordered_pair_as_carrier_subset(X2388,X2389,X2390)=unordered_pair_as_carrier_subset(X2388,X2390,X2389)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1051])])).
% 282.28/198.90 fof(i_0_2200, lemma, ![X4861, X4862, X4863]:(~relation(X4863)|~function(X4863)|(~in(X4862,relation_dom(relation_dom_restriction(X4863,X4861)))|apply(relation_dom_restriction(X4863,X4861),X4862)=apply(X4863,X4862))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t70_funct_1])])).
% 282.28/198.90 fof(i_0_2201, lemma, ![X4356, X4357]:((~compact_top_space(X4356)|(~element(X4357,powerset(powerset(the_carrier(X4356))))|(~centered(X4357)|~closed_subsets(X4357,X4356)|meet_of_subsets(the_carrier(X4356),X4357)!=empty_set))|(empty_carrier(X4356)|~topological_space(X4356)|~top_str(X4356)))&((element(esk500_1(X4356),powerset(powerset(the_carrier(X4356))))|compact_top_space(X4356)|(empty_carrier(X4356)|~topological_space(X4356)|~top_str(X4356)))&(((centered(esk500_1(X4356))|compact_top_space(X4356)|(empty_carrier(X4356)|~topological_space(X4356)|~top_str(X4356)))&(closed_subsets(esk500_1(X4356),X4356)|compact_top_space(X4356)|(empty_carrier(X4356)|~topological_space(X4356)|~top_str(X4356))))&(meet_of_subsets(the_carrier(X4356),esk500_1(X4356))=empty_set|compact_top_space(X4356)|(empty_carrier(X4356)|~topological_space(X4356)|~top_str(X4356)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1052])])])])])).
% 282.28/198.90 fof(i_0_2202, lemma, ![X4753, X4754, X4755]:(~relation(X4753)|(~relation(X4754)|(~relation(X4755)|~function(X4755)|(~relation_isomorphism(X4753,X4754,X4755)|relation_isomorphism(X4754,X4753,function_inverse(X4755)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t49_wellord1])])])).
% 282.28/198.90 cnf(i_0_2203, lemma, (in(X1,X2)|~ordinal_subset(succ(X1),X2)|~ordinal(X2)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1053])).
% 282.28/198.90 fof(i_0_2204, plain, ![X2406, X2407, X2408]:(~element(X2407,powerset(X2406))|~element(X2408,powerset(X2406))|subset_intersection2(X2406,X2407,X2408)=subset_intersection2(X2406,X2408,X2407)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k5_subset_1])])).
% 282.28/198.90 fof(i_0_2205, plain, ![X2403, X2404, X2405]:(~element(X2404,powerset(X2403))|~element(X2405,powerset(X2403))|subset_union2(X2403,X2404,X2405)=subset_union2(X2403,X2405,X2404)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k4_subset_1])])).
% 282.28/198.90 fof(i_0_2206, lemma, ![X4382, X4383, X4384, X4385]:(~relation_of2_as_subset(X4385,X4384,X4382)|(~subset(relation_rng(X4385),X4383)|relation_of2_as_subset(X4385,X4384,X4383))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t14_relset_1])])).
% 282.28/198.90 cnf(i_0_2207, lemma, (X1=empty_set|subset_difference(X2,cast_to_subset(X2),union_of_subsets(X2,X1))=meet_of_subsets(X2,complements_of_subsets(X2,X1))|~element(X1,powerset(powerset(X2)))), inference(split_conjunct,[status(thm)],[i_0_1054])).
% 282.28/198.90 cnf(i_0_2208, plain, (cast_to_subset(X1)=X1), inference(split_conjunct,[status(thm)],[i_0_1055])).
% 282.28/198.90 cnf(i_0_2209, lemma, (X1=empty_set|union_of_subsets(X2,complements_of_subsets(X2,X1))=subset_difference(X2,cast_to_subset(X2),meet_of_subsets(X2,X1))|~element(X1,powerset(powerset(X2)))), inference(split_conjunct,[status(thm)],[i_0_1056])).
% 282.28/198.90 fof(i_0_2210, plain, ![X2900, X2901, X2902, X2904, X2905, X2906, X2908]:((((in(esk109_3(X2900,X2901,X2902),relation_dom(X2900))|~in(X2902,X2901)|X2901!=relation_rng(X2900)|(~relation(X2900)|~function(X2900)))&(X2902=apply(X2900,esk109_3(X2900,X2901,X2902))|~in(X2902,X2901)|X2901!=relation_rng(X2900)|(~relation(X2900)|~function(X2900))))&(~in(X2905,relation_dom(X2900))|X2904!=apply(X2900,X2905)|in(X2904,X2901)|X2901!=relation_rng(X2900)|(~relation(X2900)|~function(X2900))))&((~in(esk110_2(X2900,X2906),X2906)|(~in(X2908,relation_dom(X2900))|esk110_2(X2900,X2906)!=apply(X2900,X2908))|X2906=relation_rng(X2900)|(~relation(X2900)|~function(X2900)))&((in(esk111_2(X2900,X2906),relation_dom(X2900))|in(esk110_2(X2900,X2906),X2906)|X2906=relation_rng(X2900)|(~relation(X2900)|~function(X2900)))&(esk110_2(X2900,X2906)=apply(X2900,esk111_2(X2900,X2906))|in(esk110_2(X2900,X2906),X2906)|X2906=relation_rng(X2900)|(~relation(X2900)|~function(X2900)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_funct_1])])])])])])).
% 282.28/198.90 cnf(i_0_2211, plain, (in(esk331_2(X1,X2),succ(X1))|~in(X2,esk330_1(X1))|esk328_1(X1)!=esk329_1(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928])).
% 282.28/198.90 fof(i_0_2212, plain, ![X3241, X3242, X3243]:(empty_carrier(X3241)|~topological_space(X3241)|~top_str(X3241)|~element(X3242,the_carrier(X3241))|(~point_neighbourhood(X3243,X3241,X3242)|element(X3243,powerset(the_carrier(X3241))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1057])])])).
% 282.28/198.90 fof(i_0_2213, lemma, ![X4361, X4362]:((~finite(complements_of_subsets(the_carrier(X4361),X4362))|finite(X4362)|~element(X4362,powerset(powerset(the_carrier(X4361))))|~one_sorted_str(X4361))&(~finite(X4362)|finite(complements_of_subsets(the_carrier(X4361),X4362))|~element(X4362,powerset(powerset(the_carrier(X4361))))|~one_sorted_str(X4361))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t13_tops_2])])])])).
% 282.28/198.90 cnf(i_0_2214, lemma, (~in(X1,set_intersection2(X2,X3))|~disjoint(X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1058])).
% 282.28/198.90 fof(i_0_2215, lemma, ![X4406, X4407, X4408, X4409]:(~relation_of2_as_subset(X4409,X4408,X4406)|(~subset(X4406,X4407)|relation_of2_as_subset(X4409,X4408,X4407))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_relset_1])])).
% 282.28/198.90 fof(i_0_2216, lemma, ![X4797, X4798, X4799, X4800]:((~open_subset(X4800,X4798)|interior(X4798,X4800)=X4800|~element(X4800,powerset(the_carrier(X4798)))|~element(X4799,powerset(the_carrier(X4797)))|~top_str(X4798)|(~topological_space(X4797)|~top_str(X4797)))&(interior(X4797,X4799)!=X4799|open_subset(X4799,X4797)|~element(X4800,powerset(the_carrier(X4798)))|~element(X4799,powerset(the_carrier(X4797)))|~top_str(X4798)|(~topological_space(X4797)|~top_str(X4797)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t55_tops_1])])])])).
% 282.28/198.90 cnf(i_0_2217, lemma, (in(X1,succ(X2))|~in(X1,esk456_2(X3,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_1025])).
% 282.28/198.90 fof(i_0_2218, lemma, ![X4442, X4443, X4445]:((in(esk507_2(X4442,X4443),X4443)|X4443=empty_set|~element(X4443,powerset(powerset(X4442)))|~finite(X4442))&(~in(X4445,X4443)|~subset(esk507_2(X4442,X4443),X4445)|X4445=esk507_2(X4442,X4443)|X4443=empty_set|~element(X4443,powerset(powerset(X4442)))|~finite(X4442))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t18_finset_1])])])])])).
% 282.28/198.90 cnf(i_0_2219, plain, (subset_intersection2(X2,X1,X3)=set_intersection2(X1,X3)|~element(X1,powerset(X2))|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1059])).
% 282.28/198.90 fof(i_0_2220, plain, ![X3249, X3250, X3251]:(~relation_of2_as_subset(X3251,X3249,X3250)|element(X3251,powerset(cartesian_product2(X3249,X3250)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])).
% 282.28/198.90 fof(i_0_2221, lemma, ![X4579, X4580]:((~closed_subset(X4580,X4579)|open_subset(subset_complement(the_carrier(X4579),X4580),X4579)|~element(X4580,powerset(the_carrier(X4579)))|~top_str(X4579))&(~open_subset(subset_complement(the_carrier(X4579),X4580),X4579)|closed_subset(X4580,X4579)|~element(X4580,powerset(the_carrier(X4579)))|~top_str(X4579))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t29_tops_1])])])])).
% 282.28/198.90 fof(i_0_2222, lemma, ![X4609, X4610]:((~open_subset(X4610,X4609)|closed_subset(subset_complement(the_carrier(X4609),X4610),X4609)|~element(X4610,powerset(the_carrier(X4609)))|~top_str(X4609))&(~closed_subset(subset_complement(the_carrier(X4609),X4610),X4609)|open_subset(X4610,X4609)|~element(X4610,powerset(the_carrier(X4609)))|~top_str(X4609))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t30_tops_1])])])])).
% 282.28/198.90 fof(i_0_2223, plain, ![X2870, X2871, X2872, X2874, X2875, X2876, X2877, X2879]:((((in(X2872,esk103_3(X2870,X2871,X2872))|~in(X2872,X2871)|X2871!=union(X2870))&(in(esk103_3(X2870,X2871,X2872),X2870)|~in(X2872,X2871)|X2871!=union(X2870)))&(~in(X2874,X2875)|~in(X2875,X2870)|in(X2874,X2871)|X2871!=union(X2870)))&((~in(esk104_2(X2876,X2877),X2877)|(~in(esk104_2(X2876,X2877),X2879)|~in(X2879,X2876))|X2877=union(X2876))&((in(esk104_2(X2876,X2877),esk105_2(X2876,X2877))|in(esk104_2(X2876,X2877),X2877)|X2877=union(X2876))&(in(esk105_2(X2876,X2877),X2876)|in(esk104_2(X2876,X2877),X2877)|X2877=union(X2876))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_tarski])])])])])])).
% 282.28/198.90 fof(i_0_2224, plain, ![X3252, X3253, X3254]:((((~empty_carrier(X3254)|~subnet(X3254,X3252,X3253)|(empty_carrier(X3252)|~one_sorted_str(X3252)|empty_carrier(X3253)|~transitive_relstr(X3253)|~directed_relstr(X3253)|~net_str(X3253,X3252)))&(transitive_relstr(X3254)|~subnet(X3254,X3252,X3253)|(empty_carrier(X3252)|~one_sorted_str(X3252)|empty_carrier(X3253)|~transitive_relstr(X3253)|~directed_relstr(X3253)|~net_str(X3253,X3252))))&(directed_relstr(X3254)|~subnet(X3254,X3252,X3253)|(empty_carrier(X3252)|~one_sorted_str(X3252)|empty_carrier(X3253)|~transitive_relstr(X3253)|~directed_relstr(X3253)|~net_str(X3253,X3252))))&(net_str(X3254,X3252)|~subnet(X3254,X3252,X3253)|(empty_carrier(X3252)|~one_sorted_str(X3252)|empty_carrier(X3253)|~transitive_relstr(X3253)|~directed_relstr(X3253)|~net_str(X3253,X3252)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1060])])])])).
% 282.28/198.90 fof(i_0_2225, plain, ![X3740, X3741, X3742]:(empty_carrier(X3740)|~meet_commutative(X3740)|~meet_absorbing(X3740)|~join_absorbing(X3740)|~latt_str(X3740)|~element(X3741,the_carrier(X3740))|~element(X3742,the_carrier(X3740))|below_refl(X3740,X3741,X3741)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1061])])).
% 282.28/198.90 fof(i_0_2226, plain, ![X3011, X3012]:((~is_a_cover_of_carrier(X3011,X3012)|cast_as_carrier_subset(X3011)=union_of_subsets(the_carrier(X3011),X3012)|~element(X3012,powerset(powerset(the_carrier(X3011))))|~one_sorted_str(X3011))&(cast_as_carrier_subset(X3011)!=union_of_subsets(the_carrier(X3011),X3012)|is_a_cover_of_carrier(X3011,X3012)|~element(X3012,powerset(powerset(the_carrier(X3011))))|~one_sorted_str(X3011))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_pre_topc])])])])).
% 282.28/198.90 cnf(i_0_2227, lemma, (relation_image(X1,X2)=relation_image(X1,set_intersection2(relation_dom(X1),X2))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_1062])).
% 282.28/198.90 cnf(i_0_2228, plain, (esk324_3(X1,X2,X3)=X3|esk322_1(X1)=singleton(esk321_1(X1))|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 cnf(i_0_2229, plain, (esk324_3(X1,X2,X3)=X3|esk320_1(X1)=singleton(esk319_1(X1))|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925])).
% 282.28/198.90 fof(i_0_2230, lemma, ![X3545, X3546, X3547]:(((in(X3546,relation_dom(X3547))|~in(X3546,relation_dom(relation_dom_restriction(X3547,X3545)))|(~relation(X3547)|~function(X3547)))&(in(X3546,X3545)|~in(X3546,relation_dom(relation_dom_restriction(X3547,X3545)))|(~relation(X3547)|~function(X3547))))&(~in(X3546,relation_dom(X3547))|~in(X3546,X3545)|in(X3546,relation_dom(relation_dom_restriction(X3547,X3545)))|(~relation(X3547)|~function(X3547)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l82_funct_1])])])).
% 282.28/198.90 fof(i_0_2231, lemma, ![X4434, X4435]:(~one_sorted_str(X4434)|(~element(X4435,powerset(the_carrier(X4434)))|subset_complement(the_carrier(X4434),X4435)=subset_difference(the_carrier(X4434),cast_as_carrier_subset(X4434),X4435))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_pre_topc])])])).
% 282.28/198.90 fof(i_0_2232, plain, ![X3669, X3670, X3671]:(empty_carrier(X3669)|~one_sorted_str(X3669)|~element(X3670,the_carrier(X3669))|~element(X3671,the_carrier(X3669))|unordered_pair_as_carrier_subset(X3669,X3670,X3671)=unordered_pair(X3670,X3671)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1063])])).
% 282.28/198.90 fof(i_0_2233, plain, ![X3692, X3693, X3694]:(~relation_of2(X3694,X3692,X3693)|relation_rng_as_subset(X3692,X3693,X3694)=relation_rng(X3694)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_relset_1])])).
% 282.28/198.90 fof(i_0_2234, plain, ![X3682, X3683, X3684]:(~relation_of2(X3684,X3682,X3683)|relation_dom_as_subset(X3682,X3683,X3684)=relation_dom(X3684)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])])).
% 282.28/198.90 cnf(i_0_2235, plain, (~empty(succ(X1))|~ordinal(X1)|~natural(X1)), inference(split_conjunct,[status(thm)],[i_0_1064])).
% 282.28/198.90 fof(i_0_2236, lemma, ![X4455, X4456, X4457]:(~one_sorted_str(X4455)|(~net_str(X4456,X4455)|(~subnetstr(X4457,X4455,X4456)|subset(the_carrier(X4457),the_carrier(X4456))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_yellow_6])])])).
% 282.28/198.90 fof(i_0_2237, lemma, ![X4707, X4708, X4709]:((~disjoint(X4708,X4709)|subset(X4708,subset_complement(X4707,X4709))|~element(X4709,powerset(X4707))|~element(X4708,powerset(X4707)))&(~subset(X4708,subset_complement(X4707,X4709))|disjoint(X4708,X4709)|~element(X4709,powerset(X4707))|~element(X4708,powerset(X4707)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t43_subset_1])])])])).
% 282.28/198.90 fof(i_0_2238, lemma, ![X4313, X4314, X4315]:(((in(X4313,X4314)|~in(X4313,relation_rng(relation_rng_restriction(X4314,X4315)))|~relation(X4315))&(in(X4313,relation_rng(X4315))|~in(X4313,relation_rng(relation_rng_restriction(X4314,X4315)))|~relation(X4315)))&(~in(X4313,X4314)|~in(X4313,relation_rng(X4315))|in(X4313,relation_rng(relation_rng_restriction(X4314,X4315)))|~relation(X4315))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t115_relat_1])])])).
% 282.28/198.90 fof(i_0_2239, lemma, ![X4449, X4450, X4451]:((in(X4449,relation_field(X4451))|~in(X4449,relation_field(relation_restriction(X4451,X4450)))|~relation(X4451))&(in(X4449,X4450)|~in(X4449,relation_field(relation_restriction(X4451,X4450)))|~relation(X4451))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_wellord1])])])).
% 282.28/198.90 fof(i_0_2240, lemma, ![X4888, X4889, X4890]:(((in(X4888,X4889)|~in(X4888,relation_dom(relation_dom_restriction(X4890,X4889)))|~relation(X4890))&(in(X4888,relation_dom(X4890))|~in(X4888,relation_dom(relation_dom_restriction(X4890,X4889)))|~relation(X4890)))&(~in(X4888,X4889)|~in(X4888,relation_dom(X4890))|in(X4888,relation_dom(relation_dom_restriction(X4890,X4889)))|~relation(X4890))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t86_relat_1])])])).
% 282.28/198.90 fof(i_0_2241, plain, ![X3406, X3407]:(~topological_space(X3406)|~top_str(X3406)|~open_subset(X3407,X3406)|~element(X3407,powerset(the_carrier(X3406)))|closed_subset(subset_complement(the_carrier(X3406),X3407),X3406)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_tops_1])])).
% 282.28/198.90 fof(i_0_2242, plain, ![X3390, X3391]:(~topological_space(X3390)|~top_str(X3390)|~closed_subset(X3391,X3390)|~element(X3391,powerset(the_carrier(X3390)))|open_subset(subset_complement(the_carrier(X3390),X3391),X3390)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_tops_1])])).
% 282.28/198.90 fof(i_0_2243, lemma, ![X4521, X4522, X4523]:(~relation(X4522)|~function(X4522)|(~relation(X4523)|~function(X4523)|(~in(X4521,relation_dom(X4522))|apply(relation_composition(X4522,X4523),X4521)=apply(X4523,apply(X4522,X4521))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_funct_1])])])).
% 282.28/198.90 fof(i_0_2244, plain, ![X3723, X3724, X3725]:((~relation_of2_as_subset(X3725,X3723,X3724)|relation_of2(X3725,X3723,X3724))&(~relation_of2(X3725,X3723,X3724)|relation_of2_as_subset(X3725,X3723,X3724))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])).
% 282.28/198.90 fof(i_0_2245, plain, ![X2762, X2763, X2766]:(((in(esk77_2(X2762,X2763),X2763)|(~subset(X2763,relation_field(X2762))|X2763=empty_set)|~well_founded_relation(X2762)|~relation(X2762))&(disjoint(fiber(X2762,esk77_2(X2762,X2763)),X2763)|(~subset(X2763,relation_field(X2762))|X2763=empty_set)|~well_founded_relation(X2762)|~relation(X2762)))&(((subset(esk78_1(X2762),relation_field(X2762))|well_founded_relation(X2762)|~relation(X2762))&(esk78_1(X2762)!=empty_set|well_founded_relation(X2762)|~relation(X2762)))&(~in(X2766,esk78_1(X2762))|~disjoint(fiber(X2762,X2766),esk78_1(X2762))|well_founded_relation(X2762)|~relation(X2762)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_wellord1])])])])])).
% 282.28/198.90 fof(i_0_2246, plain, ![X2897, X2899]:(((element(esk108_1(X2897),the_carrier(X2897))|~lower_bounded_relstr(X2897)|~rel_str(X2897))&(relstr_element_smaller(X2897,the_carrier(X2897),esk108_1(X2897))|~lower_bounded_relstr(X2897)|~rel_str(X2897)))&(~element(X2899,the_carrier(X2897))|~relstr_element_smaller(X2897,the_carrier(X2897),X2899)|lower_bounded_relstr(X2897)|~rel_str(X2897))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_yellow_0])])])])])).
% 282.28/198.90 fof(i_0_2247, plain, ![X3315, X3316]:((~empty_carrier(rel_str_of(X3315,X3316))|(empty(X3315)|~relation_of2(X3316,X3315,X3315)))&(strict_rel_str(rel_str_of(X3315,X3316))|(empty(X3315)|~relation_of2(X3316,X3315,X3315)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1065])])])).
% 282.28/198.90 fof(i_0_2248, plain, ![X3743, X3744, X3745]:(empty_carrier(X3743)|~reflexive_relstr(X3743)|~rel_str(X3743)|~element(X3744,the_carrier(X3743))|~element(X3745,the_carrier(X3743))|related_reflexive(X3743,X3744,X3744)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1066])])).
% 282.28/198.90 cnf(i_0_2249, lemma, (subset(X1,set_intersection2(X2,X3))|~subset(X1,X2)|~subset(X1,X3)), inference(split_conjunct,[status(thm)],[i_0_1067])).
% 282.28/198.90 cnf(i_0_2250, plain, (latt_element_smaller(X1,X2,X3)|empty_carrier(X1)|empty_carrier(X1)|X2!=join_of_latt_set(X1,X3)|~element(X2,the_carrier(X1))|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_972])).
% 282.28/198.90 cnf(i_0_2251, plain, (~empty(succ(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1068])).
% 282.28/198.90 cnf(i_0_2252, lemma, (in(succ(X2),X1)|~being_limit_ordinal(X1)|~ordinal(X2)|~in(X2,X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1012])).
% 282.28/198.90 fof(i_0_2253, plain, ![X3411]:(((((relation(the_L_meet(X3411))|(empty_carrier(X3411)|~meet_associative(X3411)|~meet_semilatt_str(X3411)))&(function(the_L_meet(X3411))|(empty_carrier(X3411)|~meet_associative(X3411)|~meet_semilatt_str(X3411))))&(quasi_total(the_L_meet(X3411),cartesian_product2(the_carrier(X3411),the_carrier(X3411)),the_carrier(X3411))|(empty_carrier(X3411)|~meet_associative(X3411)|~meet_semilatt_str(X3411))))&(v2_binop_1(the_L_meet(X3411),the_carrier(X3411))|(empty_carrier(X3411)|~meet_associative(X3411)|~meet_semilatt_str(X3411))))&(v1_partfun1(the_L_meet(X3411),cartesian_product2(the_carrier(X3411),the_carrier(X3411)),the_carrier(X3411))|(empty_carrier(X3411)|~meet_associative(X3411)|~meet_semilatt_str(X3411)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1069])])])).
% 282.28/198.90 fof(i_0_2254, plain, ![X3401]:(((((relation(the_L_meet(X3401))|(empty_carrier(X3401)|~meet_commutative(X3401)|~meet_semilatt_str(X3401)))&(function(the_L_meet(X3401))|(empty_carrier(X3401)|~meet_commutative(X3401)|~meet_semilatt_str(X3401))))&(quasi_total(the_L_meet(X3401),cartesian_product2(the_carrier(X3401),the_carrier(X3401)),the_carrier(X3401))|(empty_carrier(X3401)|~meet_commutative(X3401)|~meet_semilatt_str(X3401))))&(v1_binop_1(the_L_meet(X3401),the_carrier(X3401))|(empty_carrier(X3401)|~meet_commutative(X3401)|~meet_semilatt_str(X3401))))&(v1_partfun1(the_L_meet(X3401),cartesian_product2(the_carrier(X3401),the_carrier(X3401)),the_carrier(X3401))|(empty_carrier(X3401)|~meet_commutative(X3401)|~meet_semilatt_str(X3401)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1070])])])).
% 282.28/198.90 fof(i_0_2255, plain, ![X3378]:(((((relation(the_L_join(X3378))|(empty_carrier(X3378)|~join_associative(X3378)|~join_semilatt_str(X3378)))&(function(the_L_join(X3378))|(empty_carrier(X3378)|~join_associative(X3378)|~join_semilatt_str(X3378))))&(quasi_total(the_L_join(X3378),cartesian_product2(the_carrier(X3378),the_carrier(X3378)),the_carrier(X3378))|(empty_carrier(X3378)|~join_associative(X3378)|~join_semilatt_str(X3378))))&(v2_binop_1(the_L_join(X3378),the_carrier(X3378))|(empty_carrier(X3378)|~join_associative(X3378)|~join_semilatt_str(X3378))))&(v1_partfun1(the_L_join(X3378),cartesian_product2(the_carrier(X3378),the_carrier(X3378)),the_carrier(X3378))|(empty_carrier(X3378)|~join_associative(X3378)|~join_semilatt_str(X3378)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1071])])])).
% 282.28/198.90 fof(i_0_2256, plain, ![X3343]:(((((relation(the_L_join(X3343))|(empty_carrier(X3343)|~join_commutative(X3343)|~join_semilatt_str(X3343)))&(function(the_L_join(X3343))|(empty_carrier(X3343)|~join_commutative(X3343)|~join_semilatt_str(X3343))))&(quasi_total(the_L_join(X3343),cartesian_product2(the_carrier(X3343),the_carrier(X3343)),the_carrier(X3343))|(empty_carrier(X3343)|~join_commutative(X3343)|~join_semilatt_str(X3343))))&(v1_binop_1(the_L_join(X3343),the_carrier(X3343))|(empty_carrier(X3343)|~join_commutative(X3343)|~join_semilatt_str(X3343))))&(v1_partfun1(the_L_join(X3343),cartesian_product2(the_carrier(X3343),the_carrier(X3343)),the_carrier(X3343))|(empty_carrier(X3343)|~join_commutative(X3343)|~join_semilatt_str(X3343)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1072])])])).
% 282.28/198.90 fof(i_0_2257, plain, ![X2931, X2932]:((((((is_reflexive_in(X2931,X2932)|~well_orders(X2931,X2932)|~relation(X2931))&(is_transitive_in(X2931,X2932)|~well_orders(X2931,X2932)|~relation(X2931)))&(is_antisymmetric_in(X2931,X2932)|~well_orders(X2931,X2932)|~relation(X2931)))&(is_connected_in(X2931,X2932)|~well_orders(X2931,X2932)|~relation(X2931)))&(is_well_founded_in(X2931,X2932)|~well_orders(X2931,X2932)|~relation(X2931)))&(~is_reflexive_in(X2931,X2932)|~is_transitive_in(X2931,X2932)|~is_antisymmetric_in(X2931,X2932)|~is_connected_in(X2931,X2932)|~is_well_founded_in(X2931,X2932)|well_orders(X2931,X2932)|~relation(X2931))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_wellord1])])])])).
% 282.28/198.90 cnf(i_0_2258, lemma, (pair_second(ordered_pair(X1,X2))=X2), inference(split_conjunct,[status(thm)],[i_0_1073])).
% 282.28/198.90 cnf(i_0_2259, lemma, (pair_first(ordered_pair(X1,X2))=X1), inference(split_conjunct,[status(thm)],[i_0_1073])).
% 282.28/198.90 cnf(i_0_2260, plain, (X1=pair_second(X2)|X1!=esk71_2(X2,X1)|X2!=ordered_pair(X3,X4)), inference(split_conjunct,[status(thm)],[i_0_978])).
% 282.28/198.90 cnf(i_0_2261, plain, (X1=pair_first(X2)|X1!=esk44_2(X2,X1)|X2!=ordered_pair(X3,X4)), inference(split_conjunct,[status(thm)],[i_0_979])).
% 282.28/198.90 fof(i_0_2262, plain, ![X3285, X3286]:(empty_carrier(X3285)|~one_sorted_str(X3285)|empty_carrier(X3286)|~transitive_relstr(X3286)|~directed_relstr(X3286)|~net_str(X3286,X3285)|subnet(esk165_2(X3285,X3286),X3285,X3286)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1074])])])).
% 282.28/198.90 fof(i_0_2263, lemma, ![X4417, X4418, X4419]:(((in(X4417,X4419)|~in(X4417,relation_restriction(X4419,X4418))|~relation(X4419))&(in(X4417,cartesian_product2(X4418,X4418))|~in(X4417,relation_restriction(X4419,X4418))|~relation(X4419)))&(~in(X4417,X4419)|~in(X4417,cartesian_product2(X4418,X4418))|in(X4417,relation_restriction(X4419,X4418))|~relation(X4419))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_wellord1])])])).
% 282.28/198.90 fof(i_0_2264, plain, ![X3703, X3704, X3705]:(~element(X3704,powerset(X3703))|~element(X3705,powerset(X3703))|subset_difference(X3703,X3704,X3705)=set_difference(X3704,X3705)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_subset_1])])).
% 282.28/198.90 fof(i_0_2265, plain, ![X3685, X3686, X3687]:(~element(X3686,powerset(X3685))|~element(X3687,powerset(X3685))|subset_union2(X3685,X3686,X3687)=set_union2(X3686,X3687)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1])])).
% 282.28/198.90 fof(i_0_2266, lemma, ![X4331, X4332]:(~element(X4332,powerset(powerset(X4331)))|(X4332=empty_set|meet_of_subsets(X4331,complements_of_subsets(X4331,X4332))=subset_complement(X4331,union_of_subsets(X4331,X4332)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t11_tops_2])])).
% 282.28/198.90 fof(i_0_2267, lemma, ![X4343, X4344]:(~element(X4344,powerset(powerset(X4343)))|(X4344=empty_set|union_of_subsets(X4343,complements_of_subsets(X4343,X4344))=subset_complement(X4343,meet_of_subsets(X4343,X4344)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_tops_2])])).
% 282.28/198.90 fof(i_0_2268, plain, ![X2996, X2997, X2998]:((~one_to_one(X2996)|(~in(X2997,relation_dom(X2996))|~in(X2998,relation_dom(X2996))|apply(X2996,X2997)!=apply(X2996,X2998)|X2997=X2998)|(~relation(X2996)|~function(X2996)))&((((in(esk132_1(X2996),relation_dom(X2996))|one_to_one(X2996)|(~relation(X2996)|~function(X2996)))&(in(esk133_1(X2996),relation_dom(X2996))|one_to_one(X2996)|(~relation(X2996)|~function(X2996))))&(apply(X2996,esk132_1(X2996))=apply(X2996,esk133_1(X2996))|one_to_one(X2996)|(~relation(X2996)|~function(X2996))))&(esk132_1(X2996)!=esk133_1(X2996)|one_to_one(X2996)|(~relation(X2996)|~function(X2996))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_funct_1])])])])])).
% 282.28/198.90 fof(i_0_2269, plain, ![X3457, X3458, X3459, X3460]:((X3457=X3459|rel_str_of(X3457,X3458)!=rel_str_of(X3459,X3460)|~relation_of2(X3458,X3457,X3457))&(X3458=X3460|rel_str_of(X3457,X3458)!=rel_str_of(X3459,X3460)|~relation_of2(X3458,X3457,X3457))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_orders_2])])])])).
% 282.28/198.90 cnf(i_0_2270, lemma, (disjoint(X1,X2)|in(esk532_2(X1,X2),set_intersection2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_1058])).
% 282.28/198.90 fof(i_0_2271, plain, ![X2695, X2696, X2697, X2698, X2699, X2700]:(((~in(X2697,X2696)|subset(X2697,X2695)|X2696!=powerset(X2695))&(~subset(X2698,X2695)|in(X2698,X2696)|X2696!=powerset(X2695)))&((~in(esk65_2(X2699,X2700),X2700)|~subset(esk65_2(X2699,X2700),X2699)|X2700=powerset(X2699))&(in(esk65_2(X2699,X2700),X2700)|subset(esk65_2(X2699,X2700),X2699)|X2700=powerset(X2699)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_zfmisc_1])])])])])])).
% 282.28/198.90 fof(i_0_2272, plain, ![X3269, X3270]:(empty_carrier(X3269)|~topological_space(X3269)|~top_str(X3269)|~element(X3270,the_carrier(X3269))|point_neighbourhood(esk159_2(X3269,X3270),X3269,X3270)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1075])])])).
% 282.28/198.90 fof(i_0_2273, plain, ![X3304, X3305]:((((~empty(the_mapping(X3304,X3305))|(empty_carrier(X3304)|~one_sorted_str(X3304)|empty_carrier(X3305)|~net_str(X3305,X3304)))&(relation(the_mapping(X3304,X3305))|(empty_carrier(X3304)|~one_sorted_str(X3304)|empty_carrier(X3305)|~net_str(X3305,X3304))))&(function(the_mapping(X3304,X3305))|(empty_carrier(X3304)|~one_sorted_str(X3304)|empty_carrier(X3305)|~net_str(X3305,X3304))))&(quasi_total(the_mapping(X3304,X3305),the_carrier(X3305),the_carrier(X3304))|(empty_carrier(X3304)|~one_sorted_str(X3304)|empty_carrier(X3305)|~net_str(X3305,X3304)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1076])])])).
% 282.28/198.90 fof(i_0_2274, lemma, ![X4377, X4378]:(~relation(X4378)|(~subset(X4377,relation_dom(X4378))|subset(X4377,relation_inverse_image(X4378,relation_image(X4378,X4377))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t146_funct_1])])).
% 282.28/198.90 cnf(i_0_2275, lemma, (in(X1,succ(X2))|~in(X1,esk433_1(X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_935])).
% 282.28/198.90 fof(i_0_2276, plain, ![X3246, X3247, X3248]:(~one_sorted_str(X3246)|~net_str(X3247,X3246)|(~subnetstr(X3248,X3246,X3247)|net_str(X3248,X3246))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_6])])])).
% 282.28/198.90 cnf(i_0_2277, lemma, (apply(esk475_1(X2),X1)=singleton(X1)|esk473_1(X2)=singleton(esk471_1(X2))|~in(X1,X2)|X3!=singleton(esk474_1(X2))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 cnf(i_0_2278, lemma, (apply(esk475_1(X2),X1)=singleton(X1)|esk472_1(X2)=singleton(esk471_1(X2))|~in(X1,X2)|X3!=singleton(esk474_1(X2))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 cnf(i_0_2279, plain, (X1=singleton(esk315_2(X2,X1))|esk313_1(X2)=singleton(esk311_1(X2))|~in(X1,esk314_1(X2))), inference(split_conjunct,[status(thm)],[i_0_1078])).
% 282.28/198.90 cnf(i_0_2280, plain, (X1=singleton(esk315_2(X2,X1))|esk312_1(X2)=singleton(esk311_1(X2))|~in(X1,esk314_1(X2))), inference(split_conjunct,[status(thm)],[i_0_1078])).
% 282.28/198.90 fof(i_0_2281, lemma, ![X4777, X4778, X4779]:(~relation(X4777)|(~relation(X4778)|(~relation(X4779)|~function(X4779)|(~relation_isomorphism(X4777,X4778,X4779)|epred3_2(X4778,X4777))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1079])])])).
% 282.28/198.90 cnf(i_0_2282, lemma, (in(X3,X1)|subset(X1,set_difference(X2,singleton(X3)))|~subset(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1080])).
% 282.28/198.90 cnf(i_0_2283, plain, (~empty(succ(X1))), inference(split_conjunct,[status(thm)],[i_0_1081])).
% 282.28/198.90 cnf(i_0_2284, lemma, (ordinal_subset(succ(X1),X2)|~in(X1,X2)|~ordinal(X2)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1053])).
% 282.28/198.90 fof(i_0_2285, plain, ![X4592, X4593]:((~in(esk517_2(X4592,X4593),X4592)|~in(esk517_2(X4592,X4593),X4593)|X4592=X4593)&(in(esk517_2(X4592,X4593),X4592)|in(esk517_2(X4592,X4593),X4593)|X4592=X4593)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])])).
% 282.28/198.90 fof(i_0_2286, lemma, ![X4793, X4794, X4795]:(~relation(X4793)|(~relation(X4794)|(~relation(X4795)|~function(X4795)|(~well_ordering(X4793)|~relation_isomorphism(X4793,X4794,X4795)|well_ordering(X4794))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t54_wellord1])])])).
% 282.28/198.90 fof(i_0_2287, lemma, ![X4814, X4815]:(empty_carrier(X4814)|~one_sorted_str(X4814)|(~element(X4815,powerset(powerset(the_carrier(X4814))))|(~is_a_cover_of_carrier(X4814,X4815)|X4815!=empty_set))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1082])])])).
% 282.28/198.90 fof(i_0_2288, plain, ![X2638, X2639, X2640]:((~relation_of2(X2640,X2638,X2639)|subset(X2640,cartesian_product2(X2638,X2639)))&(~subset(X2640,cartesian_product2(X2638,X2639))|relation_of2(X2640,X2638,X2639))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relset_1])])).
% 282.28/198.90 fof(i_0_2289, lemma, ![X4388, X4389]:(~one_sorted_str(X4388)|(~element(X4389,powerset(the_carrier(X4388)))|subset_intersection2(the_carrier(X4388),X4389,cast_as_carrier_subset(X4388))=X4389)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t15_pre_topc])])])).
% 282.28/198.90 fof(i_0_2290, lemma, ![X4497, X4498, X4499]:(~relation(X4499)|subset(fiber(relation_restriction(X4499,X4497),X4498),fiber(X4499,X4498))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_wellord1])])).
% 282.28/198.90 cnf(i_0_2291, plain, (in(X1,X4)|~in(X1,X2)|~in(X1,X3)|X4!=set_intersection2(X2,X3)), inference(split_conjunct,[status(thm)],[i_0_954])).
% 282.28/198.90 fof(i_0_2292, plain, ![X3255]:(((function(the_L_meet(X3255))|~meet_semilatt_str(X3255))&(quasi_total(the_L_meet(X3255),cartesian_product2(the_carrier(X3255),the_carrier(X3255)),the_carrier(X3255))|~meet_semilatt_str(X3255)))&(relation_of2_as_subset(the_L_meet(X3255),cartesian_product2(the_carrier(X3255),the_carrier(X3255)),the_carrier(X3255))|~meet_semilatt_str(X3255))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])])).
% 282.28/198.90 fof(i_0_2293, plain, ![X3260]:(((function(the_L_join(X3260))|~join_semilatt_str(X3260))&(quasi_total(the_L_join(X3260),cartesian_product2(the_carrier(X3260),the_carrier(X3260)),the_carrier(X3260))|~join_semilatt_str(X3260)))&(relation_of2_as_subset(the_L_join(X3260),cartesian_product2(the_carrier(X3260),the_carrier(X3260)),the_carrier(X3260))|~join_semilatt_str(X3260))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])])).
% 282.28/198.90 fof(i_0_2294, plain, ![X3258, X3259]:(((function(the_mapping(X3258,X3259))|(~one_sorted_str(X3258)|~net_str(X3259,X3258)))&(quasi_total(the_mapping(X3258,X3259),the_carrier(X3259),the_carrier(X3258))|(~one_sorted_str(X3258)|~net_str(X3259,X3258))))&(relation_of2_as_subset(the_mapping(X3258,X3259),the_carrier(X3259),the_carrier(X3258))|(~one_sorted_str(X3258)|~net_str(X3259,X3258)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_waybel_0])])])).
% 282.28/198.90 cnf(i_0_2295, lemma, (apply(esk475_1(X2),X1)=singleton(X1)|in(esk471_1(X2),X2)|~in(X1,X2)|X3!=singleton(esk474_1(X2))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 fof(i_0_2296, plain, ![X3480, X3481, X3482]:(~element(X3481,powerset(X3480))|~element(X3482,powerset(X3480))|subset_intersection2(X3480,X3481,X3481)=X3481), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[idempotence_k5_subset_1])])).
% 282.28/198.90 fof(i_0_2297, plain, ![X3477, X3478, X3479]:(~element(X3478,powerset(X3477))|~element(X3479,powerset(X3477))|subset_union2(X3477,X3478,X3478)=X3478), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[idempotence_k4_subset_1])])).
% 282.28/198.90 cnf(i_0_2298, plain, (X1=singleton(esk315_2(X2,X1))|in(esk311_1(X2),X2)|~in(X1,esk314_1(X2))), inference(split_conjunct,[status(thm)],[i_0_1078])).
% 282.28/198.90 cnf(i_0_2299, plain, (X1=singleton(esk315_2(X2,X1))|in(esk311_1(X2),X2)|~in(X1,esk314_1(X2))), inference(split_conjunct,[status(thm)],[i_0_1078])).
% 282.28/198.90 fof(i_0_2300, lemma, ![X4717, X4718]:(empty_carrier(X4717)|~antisymmetric_relstr(X4717)|~lower_bounded_relstr(X4717)|~rel_str(X4717)|(~element(X4718,the_carrier(X4717))|related(X4717,bottom_of_relstr(X4717),X4718))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1083])])])).
% 282.28/198.90 fof(i_0_2301, plain, ![X3095, X3096]:(empty_carrier(X3095)|~topological_space(X3095)|~top_str(X3095)|empty_carrier(X3096)|~transitive_relstr(X3096)|~directed_relstr(X3096)|~net_str(X3096,X3095)|element(lim_points_of_net(X3095,X3096),powerset(the_carrier(X3095)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1084])])).
% 282.28/198.90 fof(i_0_2302, lemma, ![X4790, X4791, X4792]:(~element(X4792,powerset(X4790))|(~in(X4791,subset_complement(X4790,X4792))|~in(X4791,X4792))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t54_subset_1])])).
% 282.28/198.90 fof(i_0_2303, plain, ![X2325, X2326, X2327]:(~element(X2327,powerset(cartesian_product2(X2325,X2326)))|relation(X2327)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
% 282.28/198.90 fof(i_0_2304, plain, ![X3113, X3114]:(~top_str(X3113)|~element(X3114,powerset(the_carrier(X3113)))|element(interior(X3113,X3114),powerset(the_carrier(X3113)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_tops_1])])).
% 282.28/198.90 fof(i_0_2305, plain, ![X3196, X3197]:(~top_str(X3196)|~element(X3197,powerset(the_carrier(X3196)))|element(topstr_closure(X3196,X3197),powerset(the_carrier(X3196)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])])).
% 282.28/198.90 cnf(i_0_2306, plain, (in(succ(esk546_0),omega)|subset(X1,esk545_1(X1))|epred1_0|~in(X1,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985])).
% 282.28/198.90 fof(i_0_2307, plain, ![X3175, X3176]:(empty_carrier(X3175)|~lattice(X3175)|~latt_str(X3175)|~element(X3176,the_carrier(poset_of_lattice(X3175)))|element(cast_to_el_of_lattice(X3175,X3176),the_carrier(X3175))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1085])])).
% 282.28/198.90 fof(i_0_2308, plain, ![X3082, X3083]:((strict_rel_str(rel_str_of(X3082,X3083))|~relation_of2(X3083,X3082,X3082))&(rel_str(rel_str_of(X3082,X3083))|~relation_of2(X3083,X3082,X3082))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g1_orders_2])])])).
% 282.28/198.90 cnf(i_0_2309, plain, (in(succ(esk546_0),omega)|in(esk545_1(X1),esk544_0)|epred1_0|~in(X1,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985])).
% 282.28/198.90 fof(i_0_2310, plain, ![X3638, X3639]:((((subnetstr(esk245_2(X3638,X3639),X3638,X3639)|(~one_sorted_str(X3638)|empty_carrier(X3639)|~net_str(X3639,X3638)))&(~empty_carrier(esk245_2(X3638,X3639))|(~one_sorted_str(X3638)|empty_carrier(X3639)|~net_str(X3639,X3638))))&(strict_net_str(esk245_2(X3638,X3639),X3638)|(~one_sorted_str(X3638)|empty_carrier(X3639)|~net_str(X3639,X3638))))&(full_subnetstr(esk245_2(X3638,X3639),X3638,X3639)|(~one_sorted_str(X3638)|empty_carrier(X3639)|~net_str(X3639,X3638)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1086])])])])).
% 282.28/198.90 cnf(i_0_2311, lemma, (relation_dom(X1)=set_intersection2(relation_dom(X2),X3)|X1!=relation_dom_restriction(X2,X3)|~relation(X2)|~function(X2)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_961])).
% 282.28/198.90 cnf(i_0_2312, plain, (relation(X1)|esk51_1(X1)!=ordered_pair(X2,X3)), inference(split_conjunct,[status(thm)],[i_0_995])).
% 282.28/198.90 cnf(i_0_2313, lemma, (apply(esk475_1(X2),X1)=singleton(X1)|~in(X1,X2)|X3!=singleton(esk474_1(X2))|esk472_1(X2)!=esk473_1(X2)), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 fof(i_0_2314, lemma, ![X4652, X4653, X4654]:(((relation_dom(X4653)=X4652|X4653!=identity_relation(X4652)|(~relation(X4653)|~function(X4653)))&(~in(X4654,X4652)|apply(X4653,X4654)=X4654|X4653!=identity_relation(X4652)|(~relation(X4653)|~function(X4653))))&((in(esk524_2(X4652,X4653),X4652)|relation_dom(X4653)!=X4652|X4653=identity_relation(X4652)|(~relation(X4653)|~function(X4653)))&(apply(X4653,esk524_2(X4652,X4653))!=esk524_2(X4652,X4653)|relation_dom(X4653)!=X4652|X4653=identity_relation(X4652)|(~relation(X4653)|~function(X4653))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t34_funct_1])])])])])).
% 282.28/198.90 cnf(i_0_2315, plain, (relation_restriction(X1,X2)=set_intersection2(X1,cartesian_product2(X2,X2))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_1087])).
% 282.28/198.90 fof(i_0_2316, plain, ![X2520, X2521]:(((subset(the_carrier(X2521),the_carrier(X2520))|~subrelstr(X2521,X2520)|~rel_str(X2521)|~rel_str(X2520))&(subset(the_InternalRel(X2521),the_InternalRel(X2520))|~subrelstr(X2521,X2520)|~rel_str(X2521)|~rel_str(X2520)))&(~subset(the_carrier(X2521),the_carrier(X2520))|~subset(the_InternalRel(X2521),the_InternalRel(X2520))|subrelstr(X2521,X2520)|~rel_str(X2521)|~rel_str(X2520))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_yellow_0])])])])).
% 282.28/198.90 cnf(i_0_2317, plain, (X1=singleton(esk315_2(X2,X1))|~in(X1,esk314_1(X2))|esk312_1(X2)!=esk313_1(X2)), inference(split_conjunct,[status(thm)],[i_0_1078])).
% 282.28/198.90 fof(i_0_2318, lemma, ![X4327, X4328, X4329, X4330]:(~subset(X4327,X4328)|~subset(X4329,X4330)|subset(cartesian_product2(X4327,X4329),cartesian_product2(X4328,X4330))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t119_zfmisc_1])])).
% 282.28/198.90 fof(i_0_2319, lemma, ![X4770, X4771, X4772]:(X4770=empty_set|(~element(X4771,powerset(X4770))|(~element(X4772,X4770)|(in(X4772,X4771)|in(X4772,subset_complement(X4770,X4771)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1088])])])).
% 282.28/198.90 fof(i_0_2320, plain, ![X3633, X3634]:(((subnetstr(esk243_2(X3633,X3634),X3633,X3634)|(~one_sorted_str(X3633)|~net_str(X3634,X3633)))&(strict_net_str(esk243_2(X3633,X3634),X3633)|(~one_sorted_str(X3633)|~net_str(X3634,X3633))))&(full_subnetstr(esk243_2(X3633,X3634),X3633,X3634)|(~one_sorted_str(X3633)|~net_str(X3634,X3633)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc6_yellow_6])])])])).
% 282.28/198.90 fof(i_0_2321, plain, ![X3279, X3280]:(~one_sorted_str(X3279)|~net_str(X3280,X3279)|subnetstr(esk163_2(X3279,X3280),X3279,X3280)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[existence_m1_yellow_6])])])).
% 282.28/198.90 fof(i_0_2322, plain, ![X3215, X3216]:(~element(X3216,powerset(powerset(X3215)))|element(complements_of_subsets(X3215,X3216),powerset(powerset(X3215)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_setfam_1])])).
% 282.28/198.90 fof(i_0_2323, plain, ![X3163, X3164]:(empty_carrier(X3163)|~lattice(X3163)|~latt_str(X3163)|~element(X3164,the_carrier(X3163))|element(cast_to_el_of_LattPOSet(X3163,X3164),the_carrier(poset_of_lattice(X3163)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1089])])).
% 282.28/198.90 fof(i_0_2324, plain, ![X4879, X4880, X4882]:((in(esk541_2(X4879,X4880),X4880)|~in(X4879,X4880))&(~in(X4882,X4880)|~in(X4882,esk541_2(X4879,X4880))|~in(X4879,X4880))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_tarski])])])])])).
% 282.28/198.90 cnf(i_0_2325, lemma, (apply(esk475_1(X2),X1)=singleton(X1)|in(esk474_1(X2),X2)|esk473_1(X2)=singleton(esk471_1(X2))|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 cnf(i_0_2326, lemma, (apply(esk475_1(X2),X1)=singleton(X1)|in(esk474_1(X2),X2)|esk472_1(X2)=singleton(esk471_1(X2))|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 fof(i_0_2327, lemma, ![X4804, X4805]:((X4804=apply(X4805,apply(function_inverse(X4805),X4804))|(~one_to_one(X4805)|~in(X4804,relation_rng(X4805)))|(~relation(X4805)|~function(X4805)))&(X4804=apply(relation_composition(function_inverse(X4805),X4805),X4804)|(~one_to_one(X4805)|~in(X4804,relation_rng(X4805)))|(~relation(X4805)|~function(X4805)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t57_funct_1])])])).
% 282.28/198.90 fof(i_0_2328, lemma, ![X4340, X4341, X4342]:((subset(relation_dom(X4342),X4340)|~relation_of2_as_subset(X4342,X4340,X4341))&(subset(relation_rng(X4342),X4341)|~relation_of2_as_subset(X4342,X4340,X4341))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_relset_1])])])).
% 282.28/198.90 fof(i_0_2329, lemma, ![X4373, X4374]:(~relation(X4374)|~function(X4374)|subset(relation_image(X4374,relation_inverse_image(X4374,X4373)),X4373)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t145_funct_1])])).
% 282.28/198.90 cnf(i_0_2330, lemma, (X1=X2|~subset(singleton(X1),singleton(X2))), inference(split_conjunct,[status(thm)],[i_0_1090])).
% 282.28/198.90 fof(i_0_2331, plain, ![X3351, X3352]:(~topological_space(X3351)|~top_str(X3351)|~element(X3352,powerset(the_carrier(X3351)))|closed_subset(topstr_closure(X3351,X3352),X3351)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_tops_1])])).
% 282.28/198.90 fof(i_0_2332, lemma, ![X4773, X4774]:(~topological_space(X4773)|~top_str(X4773)|(~element(X4774,powerset(the_carrier(X4773)))|open_subset(interior(X4773,X4774),X4773))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t51_tops_1])])])).
% 282.28/198.90 fof(i_0_2333, plain, ![X3416, X3417]:(~topological_space(X3416)|~top_str(X3416)|~element(X3417,powerset(the_carrier(X3416)))|open_subset(interior(X3416,X3417),X3416)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc6_tops_1])])).
% 282.28/198.90 fof(i_0_2334, plain, ![X2915, X2916]:((~open_subset(X2916,X2915)|in(X2916,the_topology(X2915))|~element(X2916,powerset(the_carrier(X2915)))|~top_str(X2915))&(~in(X2916,the_topology(X2915))|open_subset(X2916,X2915)|~element(X2916,powerset(the_carrier(X2915)))|~top_str(X2915))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_pre_topc])])])])).
% 282.28/198.90 cnf(i_0_2335, plain, (in(succ(esk546_0),omega)|epred1_0|esk545_1(X1)!=X1|~in(X1,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985])).
% 282.28/198.90 fof(i_0_2336, lemma, ![X4775, X4776]:((~closed_subset(X4776,X4775)|topstr_closure(X4775,X4776)=X4776|~element(X4776,powerset(the_carrier(X4775)))|~top_str(X4775))&(~topological_space(X4775)|topstr_closure(X4775,X4776)!=X4776|closed_subset(X4776,X4775)|~element(X4776,powerset(the_carrier(X4775)))|~top_str(X4775))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t52_pre_topc])])])])).
% 282.28/198.90 cnf(i_0_2337, plain, (in(esk315_2(X1,X2),X1)|esk313_1(X1)=singleton(esk311_1(X1))|~in(X2,esk314_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1078])).
% 282.28/198.90 cnf(i_0_2338, plain, (in(esk315_2(X1,X2),X1)|esk312_1(X1)=singleton(esk311_1(X1))|~in(X2,esk314_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1078])).
% 282.28/198.90 cnf(i_0_2339, plain, (X2=singleton(X1)|~in(esk56_2(X1,X2),X2)|esk56_2(X1,X2)!=X1), inference(split_conjunct,[status(thm)],[i_0_1091])).
% 282.28/198.90 fof(i_0_2340, plain, ![X3345]:(((((relation(the_InternalRel(X3345))|(~reflexive_relstr(X3345)|~transitive_relstr(X3345)|~antisymmetric_relstr(X3345)|~rel_str(X3345)))&(reflexive(the_InternalRel(X3345))|(~reflexive_relstr(X3345)|~transitive_relstr(X3345)|~antisymmetric_relstr(X3345)|~rel_str(X3345))))&(antisymmetric(the_InternalRel(X3345))|(~reflexive_relstr(X3345)|~transitive_relstr(X3345)|~antisymmetric_relstr(X3345)|~rel_str(X3345))))&(transitive(the_InternalRel(X3345))|(~reflexive_relstr(X3345)|~transitive_relstr(X3345)|~antisymmetric_relstr(X3345)|~rel_str(X3345))))&(v1_partfun1(the_InternalRel(X3345),the_carrier(X3345),the_carrier(X3345))|(~reflexive_relstr(X3345)|~transitive_relstr(X3345)|~antisymmetric_relstr(X3345)|~rel_str(X3345)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_orders_2])])])).
% 282.28/198.90 cnf(i_0_2341, plain, (in(X1,X2)|~in(X1,X3)|X3!=set_intersection2(X2,X4)), inference(split_conjunct,[status(thm)],[i_0_954])).
% 282.28/198.90 cnf(i_0_2342, plain, (in(X1,X2)|~in(X1,X3)|X3!=set_intersection2(X4,X2)), inference(split_conjunct,[status(thm)],[i_0_954])).
% 282.28/198.90 fof(i_0_2343, lemma, ![X4633, X4634, X4636]:((ordinal(esk523_2(X4633,X4634))|(~subset(X4633,X4634)|X4633=empty_set)|~ordinal(X4634))&((in(esk523_2(X4633,X4634),X4633)|(~subset(X4633,X4634)|X4633=empty_set)|~ordinal(X4634))&(~ordinal(X4636)|(~in(X4636,X4633)|ordinal_subset(esk523_2(X4633,X4634),X4636))|(~subset(X4633,X4634)|X4633=empty_set)|~ordinal(X4634)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t32_ordinal1])])])])])).
% 282.28/198.90 cnf(i_0_2344, plain, (in(succ(esk546_0),omega)|element(esk544_0,powerset(powerset(empty_set)))|epred1_0), inference(split_conjunct,[status(thm)],[i_0_985])).
% 282.28/198.90 fof(i_0_2345, lemma, ![X4567, X4570]:((((relation(esk516_1(X4567))|in(esk515_1(X4567),X4567)|empty(X4567))&(function(esk516_1(X4567))|in(esk515_1(X4567),X4567)|empty(X4567)))&((relation_dom(esk516_1(X4567))=X4567|in(esk515_1(X4567),X4567)|empty(X4567))&(~in(X4570,X4567)|in(apply(esk516_1(X4567),X4570),X4570)|in(esk515_1(X4567),X4567)|empty(X4567))))&(((relation(esk516_1(X4567))|esk515_1(X4567)=empty_set|empty(X4567))&(function(esk516_1(X4567))|esk515_1(X4567)=empty_set|empty(X4567)))&((relation_dom(esk516_1(X4567))=X4567|esk515_1(X4567)=empty_set|empty(X4567))&(~in(X4570,X4567)|in(apply(esk516_1(X4567),X4570),X4570)|esk515_1(X4567)=empty_set|empty(X4567))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1092])])])])])).
% 282.28/198.90 fof(i_0_2346, lemma, ![X4715, X4716]:(~top_str(X4715)|(~element(X4716,powerset(the_carrier(X4715)))|subset(interior(X4715,X4716),X4716))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_tops_1])])])).
% 282.28/198.90 fof(i_0_2347, lemma, ![X4747, X4748]:(~top_str(X4747)|(~element(X4748,powerset(the_carrier(X4747)))|subset(X4748,topstr_closure(X4747,X4748)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_pre_topc])])])).
% 282.28/198.90 cnf(i_0_2348, lemma, (apply(esk475_1(X2),X1)=singleton(X1)|in(esk474_1(X2),X2)|in(esk471_1(X2),X2)|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 fof(i_0_2349, plain, ![X3199, X3200]:(~element(X3200,powerset(powerset(X3199)))|element(meet_of_subsets(X3199,X3200),powerset(X3199))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_setfam_1])])).
% 282.28/198.90 fof(i_0_2350, plain, ![X3187, X3188]:(~element(X3188,powerset(powerset(X3187)))|element(union_of_subsets(X3187,X3188),powerset(X3187))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_setfam_1])])).
% 282.28/198.90 cnf(i_0_2351, plain, (in(X3,esk314_1(X2))|esk313_1(X2)=singleton(esk311_1(X2))|~in(X1,X2)|X3!=singleton(X1)), inference(split_conjunct,[status(thm)],[i_0_1078])).
% 282.28/198.90 cnf(i_0_2352, plain, (in(X3,esk314_1(X2))|esk312_1(X2)=singleton(esk311_1(X2))|~in(X1,X2)|X3!=singleton(X1)), inference(split_conjunct,[status(thm)],[i_0_1078])).
% 282.28/198.90 cnf(i_0_2353, plain, (relation(set_intersection2(X1,X2))|~relation(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_1093])).
% 282.28/198.90 cnf(i_0_2354, plain, (epsilon_connected(succ(X1))|~ordinal(X1)|~natural(X1)), inference(split_conjunct,[status(thm)],[i_0_1064])).
% 282.28/198.90 cnf(i_0_2355, plain, (epsilon_transitive(succ(X1))|~ordinal(X1)|~natural(X1)), inference(split_conjunct,[status(thm)],[i_0_1064])).
% 282.28/198.90 cnf(i_0_2356, plain, (ordinal(succ(X1))|~ordinal(X1)|~natural(X1)), inference(split_conjunct,[status(thm)],[i_0_1064])).
% 282.28/198.90 cnf(i_0_2357, plain, (natural(succ(X1))|~ordinal(X1)|~natural(X1)), inference(split_conjunct,[status(thm)],[i_0_1064])).
% 282.28/198.90 fof(i_0_2358, lemma, ![X4429, X4430, X4431]:(~relation(X4431)|(~subset(X4429,X4430)|subset(relation_inverse_image(X4431,X4429),relation_inverse_image(X4431,X4430)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t178_relat_1])])).
% 282.28/198.90 cnf(i_0_2359, lemma, (relation_rng(relation_rng_restriction(X2,X1))=set_intersection2(relation_rng(X1),X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_1094])).
% 282.28/198.90 cnf(i_0_2360, lemma, (relation_dom(relation_dom_restriction(X1,X2))=set_intersection2(relation_dom(X1),X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_1095])).
% 282.28/198.90 fof(i_0_2361, plain, ![X4926, X4928, X4929, X4930, X4932, X4933]:(((in(X4926,esk542_1(X4926))&(~in(X4928,esk542_1(X4926))|~subset(X4929,X4928)|in(X4929,esk542_1(X4926))))&((in(esk543_2(X4926,X4930),esk542_1(X4926))|~in(X4930,esk542_1(X4926)))&(~subset(X4932,X4930)|in(X4932,esk543_2(X4926,X4930))|~in(X4930,esk542_1(X4926)))))&(~subset(X4933,esk542_1(X4926))|are_equipotent(X4933,esk542_1(X4926))|in(X4933,esk542_1(X4926)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1096])])])])])).
% 282.28/198.90 fof(i_0_2362, lemma, ![X4724, X4725]:(~relation(X4724)|(~relation(X4725)|subset(relation_rng(relation_composition(X4724,X4725)),relation_rng(X4725)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t45_relat_1])])])).
% 282.28/198.90 fof(i_0_2363, lemma, ![X4713, X4714]:(~relation(X4713)|(~relation(X4714)|subset(relation_dom(relation_composition(X4713,X4714)),relation_dom(X4713)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_relat_1])])])).
% 282.28/198.90 fof(i_0_2364, lemma, ![X4852, X4853]:((relstr_set_smaller(X4852,empty_set,X4853)|~element(X4853,the_carrier(X4852))|~rel_str(X4852))&(relstr_element_smaller(X4852,empty_set,X4853)|~element(X4853,the_carrier(X4852))|~rel_str(X4852))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_yellow_0])])])])).
% 282.28/198.90 fof(i_0_2365, plain, ![X3486, X3487]:(~element(X3487,powerset(powerset(X3486)))|complements_of_subsets(X3486,complements_of_subsets(X3486,X3487))=X3487), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k7_setfam_1])])).
% 282.28/198.90 fof(i_0_2366, plain, ![X2539, X2540]:((~full_subrelstr(X2540,X2539)|the_InternalRel(X2540)=relation_restriction_as_relation_of(the_InternalRel(X2539),the_carrier(X2540))|~subrelstr(X2540,X2539)|~rel_str(X2539))&(the_InternalRel(X2540)!=relation_restriction_as_relation_of(the_InternalRel(X2539),the_carrier(X2540))|full_subrelstr(X2540,X2539)|~subrelstr(X2540,X2539)|~rel_str(X2539))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d14_yellow_0])])])])).
% 282.28/198.90 cnf(i_0_2367, lemma, (subset(set_intersection2(X1,X2),X1)), inference(split_conjunct,[status(thm)],[i_0_1097])).
% 282.28/198.90 cnf(i_0_2368, lemma, (in(X1,succ(X1))), inference(split_conjunct,[status(thm)],[i_0_1098])).
% 282.28/198.90 fof(i_0_2369, plain, ![X3130]:(((((reflexive(k2_lattice3(X3130))|(empty_carrier(X3130)|~lattice(X3130)|~latt_str(X3130)))&(antisymmetric(k2_lattice3(X3130))|(empty_carrier(X3130)|~lattice(X3130)|~latt_str(X3130))))&(transitive(k2_lattice3(X3130))|(empty_carrier(X3130)|~lattice(X3130)|~latt_str(X3130))))&(v1_partfun1(k2_lattice3(X3130),the_carrier(X3130),the_carrier(X3130))|(empty_carrier(X3130)|~lattice(X3130)|~latt_str(X3130))))&(relation_of2_as_subset(k2_lattice3(X3130),the_carrier(X3130),the_carrier(X3130))|(empty_carrier(X3130)|~lattice(X3130)|~latt_str(X3130)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1099])])])).
% 282.28/198.90 fof(i_0_2370, lemma, ![X4865, X4866, X4867]:(~relation(X4867)|~function(X4867)|(~in(X4866,X4865)|apply(relation_dom_restriction(X4867,X4865),X4866)=apply(X4867,X4866))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t72_funct_1])])).
% 282.28/198.90 cnf(i_0_2371, lemma, (apply(esk475_1(X2),X1)=singleton(X1)|in(esk474_1(X2),X2)|~in(X1,X2)|esk472_1(X2)!=esk473_1(X2)), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 fof(i_0_2372, lemma, ![X4743, X4744]:(~relation(X4743)|(~relation(X4744)|(~subset(relation_dom(X4743),relation_rng(X4744))|relation_rng(relation_composition(X4744,X4743))=relation_rng(X4743)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t47_relat_1])])])).
% 282.28/198.90 fof(i_0_2373, lemma, ![X4737, X4738]:(~relation(X4737)|(~relation(X4738)|(~subset(relation_rng(X4737),relation_dom(X4738))|relation_dom(relation_composition(X4737,X4738))=relation_dom(X4737)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_relat_1])])])).
% 282.28/198.90 cnf(i_0_2374, lemma, (finite(set_intersection2(X1,X2))|~finite(X1)), inference(split_conjunct,[status(thm)],[i_0_1100])).
% 282.28/198.90 cnf(i_0_2375, plain, (finite(set_intersection2(X1,X2))|~finite(X1)), inference(split_conjunct,[status(thm)],[i_0_1101])).
% 282.28/198.90 cnf(i_0_2376, plain, (finite(set_intersection2(X2,X1))|~finite(X1)), inference(split_conjunct,[status(thm)],[i_0_1102])).
% 282.28/198.90 cnf(i_0_2377, plain, (epsilon_connected(succ(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1068])).
% 282.28/198.90 cnf(i_0_2378, plain, (epsilon_transitive(succ(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1068])).
% 282.28/198.90 cnf(i_0_2379, plain, (ordinal(succ(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1068])).
% 282.28/198.90 cnf(i_0_2380, plain, (v5_membered(set_intersection2(X1,X2))|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1103])).
% 282.28/198.90 cnf(i_0_2381, plain, (v5_membered(set_intersection2(X1,X2))|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_1104])).
% 282.28/198.90 cnf(i_0_2382, plain, (v4_membered(set_intersection2(X1,X2))|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1103])).
% 282.28/198.90 cnf(i_0_2383, plain, (v4_membered(set_intersection2(X1,X2))|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_1104])).
% 282.28/198.90 cnf(i_0_2384, plain, (v4_membered(set_intersection2(X1,X2))|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1105])).
% 282.28/198.90 cnf(i_0_2385, plain, (v4_membered(set_intersection2(X1,X2))|~v4_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_1106])).
% 282.28/198.90 cnf(i_0_2386, plain, (v3_membered(set_intersection2(X1,X2))|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1103])).
% 282.28/198.90 cnf(i_0_2387, plain, (v3_membered(set_intersection2(X1,X2))|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_1104])).
% 282.28/198.90 cnf(i_0_2388, plain, (v3_membered(set_intersection2(X1,X2))|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1105])).
% 282.28/198.90 cnf(i_0_2389, plain, (v3_membered(set_intersection2(X1,X2))|~v4_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_1106])).
% 282.28/198.90 cnf(i_0_2390, plain, (v3_membered(set_intersection2(X1,X2))|~v3_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1107])).
% 282.28/198.90 cnf(i_0_2391, plain, (v3_membered(set_intersection2(X1,X2))|~v3_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_1108])).
% 282.28/198.90 cnf(i_0_2392, plain, (v2_membered(set_intersection2(X1,X2))|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1103])).
% 282.28/198.90 cnf(i_0_2393, plain, (v2_membered(set_intersection2(X1,X2))|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_1104])).
% 282.28/198.90 cnf(i_0_2394, plain, (v2_membered(set_intersection2(X1,X2))|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1105])).
% 282.28/198.90 cnf(i_0_2395, plain, (v2_membered(set_intersection2(X1,X2))|~v4_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_1106])).
% 282.28/198.90 cnf(i_0_2396, plain, (v2_membered(set_intersection2(X1,X2))|~v3_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1107])).
% 282.28/198.90 cnf(i_0_2397, plain, (v2_membered(set_intersection2(X1,X2))|~v3_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_1108])).
% 282.28/198.90 cnf(i_0_2398, plain, (v2_membered(set_intersection2(X1,X2))|~v2_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1109])).
% 282.28/198.90 cnf(i_0_2399, plain, (v2_membered(set_intersection2(X1,X2))|~v2_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_1110])).
% 282.28/198.90 cnf(i_0_2400, plain, (v1_membered(set_intersection2(X1,X2))|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1103])).
% 282.28/198.90 cnf(i_0_2401, plain, (v1_membered(set_intersection2(X1,X2))|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_1104])).
% 282.28/198.90 cnf(i_0_2402, plain, (v1_membered(set_intersection2(X1,X2))|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1105])).
% 282.28/198.90 cnf(i_0_2403, plain, (v1_membered(set_intersection2(X1,X2))|~v4_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_1106])).
% 282.28/198.90 cnf(i_0_2404, plain, (v1_membered(set_intersection2(X1,X2))|~v3_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1107])).
% 282.28/198.90 cnf(i_0_2405, plain, (v1_membered(set_intersection2(X1,X2))|~v3_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_1108])).
% 282.28/198.90 cnf(i_0_2406, plain, (v1_membered(set_intersection2(X1,X2))|~v2_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1109])).
% 282.28/198.90 cnf(i_0_2407, plain, (v1_membered(set_intersection2(X1,X2))|~v2_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_1110])).
% 282.28/198.90 cnf(i_0_2408, plain, (v1_membered(set_intersection2(X1,X2))|~v1_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1111])).
% 282.28/198.90 cnf(i_0_2409, plain, (v1_membered(set_intersection2(X2,X1))|~v1_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_1112])).
% 282.28/198.90 fof(i_0_2410, lemma, ![X4645, X4646, X4647]:(~subset(X4645,X4646)|subset(set_difference(X4645,X4647),set_difference(X4646,X4647))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_xboole_1])])).
% 282.28/198.90 fof(i_0_2411, lemma, ![X4322, X4323, X4324]:((subset(cartesian_product2(X4322,X4324),cartesian_product2(X4323,X4324))|~subset(X4322,X4323))&(subset(cartesian_product2(X4324,X4322),cartesian_product2(X4324,X4323))|~subset(X4322,X4323))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t118_zfmisc_1])])])).
% 282.28/198.90 fof(i_0_2412, plain, ![X2278]:(~latt_str(X2278)|(~strict_latt_str(X2278)|X2278=latt_str_of(the_carrier(X2278),the_L_join(X2278),the_L_meet(X2278)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])).
% 282.28/198.90 fof(i_0_2413, plain, ![X3111, X3112]:(~relation(X3111)|relation_of2_as_subset(relation_restriction_as_relation_of(X3111,X3112),X3112,X3112)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_toler_1])])).
% 282.28/198.90 fof(i_0_2414, lemma, ![X4380, X4381]:(~relation(X4381)|~function(X4381)|(~subset(X4380,relation_rng(X4381))|relation_image(X4381,relation_inverse_image(X4381,X4380))=X4380)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t147_funct_1])])).
% 282.28/198.90 cnf(i_0_2415, plain, (in(X3,esk314_1(X2))|in(esk311_1(X2),X2)|~in(X1,X2)|X3!=singleton(X1)), inference(split_conjunct,[status(thm)],[i_0_1078])).
% 282.28/198.90 cnf(i_0_2416, plain, (in(X3,esk314_1(X2))|in(esk311_1(X2),X2)|~in(X1,X2)|X3!=singleton(X1)), inference(split_conjunct,[status(thm)],[i_0_1078])).
% 282.28/198.90 cnf(i_0_2417, plain, (in(succ(esk546_0),omega)|in(empty_set,omega)|epred1_0), inference(split_conjunct,[status(thm)],[i_0_985])).
% 282.28/198.90 cnf(i_0_2418, lemma, (set_difference(X1,singleton(X2))!=X1|~in(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1113])).
% 282.28/198.90 fof(i_0_2419, lemma, ![X4363, X4364, X4365]:(~relation(X4365)|relation_dom_restriction(relation_rng_restriction(X4363,X4365),X4364)=relation_rng_restriction(X4363,relation_dom_restriction(X4365,X4364))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t140_relat_1])])).
% 282.28/198.90 fof(i_0_2420, lemma, ![X3510, X3511]:((relation(esk175_2(X3510,X3511))|(~well_ordering(X3511)|~equipotent(X3510,relation_field(X3511)))|~relation(X3511))&(well_orders(esk175_2(X3510,X3511),X3510)|(~well_ordering(X3511)|~equipotent(X3510,relation_field(X3511)))|~relation(X3511))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1114])])])])).
% 282.28/198.90 cnf(i_0_2421, lemma, (~ordinal(X1)|X2!=succ(X1)|~being_limit_ordinal(X2)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_1115])).
% 282.28/198.90 cnf(i_0_2422, lemma, (~disjoint(singleton(X1),X2)|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1116])).
% 282.28/198.90 fof(i_0_2423, lemma, ![X4905, X4906, X4907]:(~subset(X4905,X4906)|~subset(X4907,X4906)|subset(set_union2(X4905,X4907),X4906)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_xboole_1])])).
% 282.28/198.90 fof(i_0_2424, lemma, ![X4671, X4672, X4673]:(((in(X4671,X4673)|~subset(unordered_pair(X4671,X4672),X4673))&(in(X4672,X4673)|~subset(unordered_pair(X4671,X4672),X4673)))&(~in(X4671,X4673)|~in(X4672,X4673)|subset(unordered_pair(X4671,X4672),X4673))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t38_zfmisc_1])])])).
% 282.28/198.90 fof(i_0_2425, plain, ![X2849, X2850]:(empty_carrier(X2849)|~lattice(X2849)|~latt_str(X2849)|(~element(X2850,the_carrier(poset_of_lattice(X2849)))|cast_to_el_of_lattice(X2849,X2850)=X2850)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1117])])])).
% 282.28/198.90 fof(i_0_2426, lemma, ![X4320, X4321]:(~relation(X4321)|subset(relation_rng(relation_rng_restriction(X4320,X4321)),relation_rng(X4321))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t118_relat_1])])).
% 282.28/198.90 fof(i_0_2427, lemma, ![X4919, X4920]:(~relation(X4920)|subset(relation_rng(relation_dom_restriction(X4920,X4919)),relation_rng(X4920))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t99_relat_1])])).
% 282.28/198.90 fof(i_0_2428, lemma, ![X4477, X4478]:((subset(relation_field(relation_restriction(X4478,X4477)),relation_field(X4478))|~relation(X4478))&(subset(relation_field(relation_restriction(X4478,X4477)),X4477)|~relation(X4478))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_wellord1])])])).
% 282.28/198.90 fof(i_0_2429, lemma, ![X3499, X3500]:(~relation(X3500)|subset(relation_dom(relation_rng_restriction(X3499,X3500)),relation_dom(X3500))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l29_wellord1])])).
% 282.28/198.90 cnf(i_0_2430, lemma, (relation_dom(esk475_1(X1))=X1|esk473_1(X1)=singleton(esk471_1(X1))|X2!=singleton(esk474_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 cnf(i_0_2431, lemma, (relation_dom(esk475_1(X1))=X1|esk472_1(X1)=singleton(esk471_1(X1))|X2!=singleton(esk474_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 fof(i_0_2432, plain, ![X2328, X2329]:((directed_subset(X2329,X2328)|~element(X2329,powerset(the_carrier(X2328)))|(empty_carrier(X2328)|~connected_relstr(X2328)|~rel_str(X2328)))&(filtered_subset(X2329,X2328)|~element(X2329,powerset(the_carrier(X2328)))|(empty_carrier(X2328)|~connected_relstr(X2328)|~rel_str(X2328)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1118])])])])).
% 282.28/198.90 cnf(i_0_2433, lemma, (relation(esk475_1(X1))|esk473_1(X1)=singleton(esk471_1(X1))|X2!=singleton(esk474_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 cnf(i_0_2434, lemma, (function(esk475_1(X1))|esk473_1(X1)=singleton(esk471_1(X1))|X2!=singleton(esk474_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 cnf(i_0_2435, lemma, (relation(esk475_1(X1))|esk472_1(X1)=singleton(esk471_1(X1))|X2!=singleton(esk474_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 cnf(i_0_2436, lemma, (function(esk475_1(X1))|esk472_1(X1)=singleton(esk471_1(X1))|X2!=singleton(esk474_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 fof(i_0_2437, lemma, ![X3542, X3543]:((in(esk180_2(X3542,X3543),X3542)|element(X3542,powerset(X3543)))&(~in(esk180_2(X3542,X3543),X3543)|element(X3542,powerset(X3543)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l71_subset_1])])])])).
% 282.28/198.90 fof(i_0_2438, plain, ![X3624]:(((((element(esk237_1(X3624),powerset(the_carrier(X3624)))|(empty_carrier(X3624)|trivial_carrier(X3624)|~reflexive_relstr(X3624)|~transitive_relstr(X3624)|~antisymmetric_relstr(X3624)|~upper_bounded_relstr(X3624)|~rel_str(X3624)))&(~empty(esk237_1(X3624))|(empty_carrier(X3624)|trivial_carrier(X3624)|~reflexive_relstr(X3624)|~transitive_relstr(X3624)|~antisymmetric_relstr(X3624)|~upper_bounded_relstr(X3624)|~rel_str(X3624))))&(proper_element(esk237_1(X3624),powerset(the_carrier(X3624)))|(empty_carrier(X3624)|trivial_carrier(X3624)|~reflexive_relstr(X3624)|~transitive_relstr(X3624)|~antisymmetric_relstr(X3624)|~upper_bounded_relstr(X3624)|~rel_str(X3624))))&(filtered_subset(esk237_1(X3624),X3624)|(empty_carrier(X3624)|trivial_carrier(X3624)|~reflexive_relstr(X3624)|~transitive_relstr(X3624)|~antisymmetric_relstr(X3624)|~upper_bounded_relstr(X3624)|~rel_str(X3624))))&(upper_relstr_subset(esk237_1(X3624),X3624)|(empty_carrier(X3624)|trivial_carrier(X3624)|~reflexive_relstr(X3624)|~transitive_relstr(X3624)|~antisymmetric_relstr(X3624)|~upper_bounded_relstr(X3624)|~rel_str(X3624)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1119])])])])).
% 282.28/198.90 fof(i_0_2439, plain, ![X2811, X2812, X2813, X2814]:((~epsilon_connected(X2811)|(~in(X2812,X2811)|~in(X2813,X2811)|in(X2812,X2813)|X2812=X2813|in(X2813,X2812)))&(((((in(esk90_1(X2814),X2814)|epsilon_connected(X2814))&(in(esk91_1(X2814),X2814)|epsilon_connected(X2814)))&(~in(esk90_1(X2814),esk91_1(X2814))|epsilon_connected(X2814)))&(esk90_1(X2814)!=esk91_1(X2814)|epsilon_connected(X2814)))&(~in(esk91_1(X2814),esk90_1(X2814))|epsilon_connected(X2814)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1120])])])])])])).
% 282.28/198.90 cnf(i_0_2440, lemma, (X1=succ(esk528_1(X1))|being_limit_ordinal(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1115])).
% 282.28/198.90 fof(i_0_2441, plain, ![X3282, X3283]:relation_of2_as_subset(esk164_2(X3282,X3283),X3282,X3283), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m2_relset_1])])).
% 282.28/198.90 fof(i_0_2442, plain, ![X3559, X3560]:(((relation_of2(esk191_2(X3559,X3560),X3559,X3560)&relation(esk191_2(X3559,X3560)))&function(esk191_2(X3559,X3560)))&quasi_total(esk191_2(X3559,X3560),X3559,X3560)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_2])])).
% 282.28/198.90 fof(i_0_2443, plain, ![X3590, X3591]:((relation_of2(esk215_2(X3590,X3591),X3590,X3591)&relation(esk215_2(X3590,X3591)))&function(esk215_2(X3590,X3591))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_partfun1])])).
% 282.28/198.90 fof(i_0_2444, plain, ![X3272, X3273]:relation_of2(esk160_2(X3272,X3273),X3272,X3273), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_relset_1])])).
% 282.28/198.90 fof(i_0_2445, lemma, ![X3801, X3802, X3804]:(((ordinal(esk269_1(X3801))|(~ordinal(X3802)|~in(X3802,X3801)))&(in(esk269_1(X3801),X3801)|(~ordinal(X3802)|~in(X3802,X3801))))&(~ordinal(X3804)|(~in(X3804,X3801)|ordinal_subset(esk269_1(X3801),X3804))|(~ordinal(X3802)|~in(X3802,X3801)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_ordinal1__e8_6__wellord2])])])])])).
% 282.28/198.90 cnf(i_0_2446, plain, (in(X3,esk314_1(X2))|~in(X1,X2)|X3!=singleton(X1)|esk312_1(X2)!=esk313_1(X2)), inference(split_conjunct,[status(thm)],[i_0_1078])).
% 282.28/198.90 fof(i_0_2447, plain, ![X3212]:(((function(identity_on_carrier(X3212))|~one_sorted_str(X3212))&(quasi_total(identity_on_carrier(X3212),the_carrier(X3212),the_carrier(X3212))|~one_sorted_str(X3212)))&(relation_of2_as_subset(identity_on_carrier(X3212),the_carrier(X3212),the_carrier(X3212))|~one_sorted_str(X3212))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_grcat_1])])])).
% 282.28/198.90 fof(i_0_2448, plain, ![X3256]:(~rel_str(X3256)|relation_of2_as_subset(the_InternalRel(X3256),the_carrier(X3256),the_carrier(X3256))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_orders_2])])).
% 282.28/198.90 cnf(i_0_2449, lemma, (X1=empty_set|X1=singleton(X2)|~subset(X1,singleton(X2))), inference(split_conjunct,[status(thm)],[i_0_1121])).
% 282.28/198.90 cnf(i_0_2450, lemma, (X1=empty_set|X1=singleton(X2)|~subset(X1,singleton(X2))), inference(split_conjunct,[status(thm)],[i_0_1122])).
% 282.28/198.90 cnf(i_0_2451, negated_conjecture, (proper_element(esk519_0,powerset(the_carrier(boole_POSet(esk518_0))))), inference(split_conjunct,[status(thm)],[i_0_1123])).
% 282.28/198.90 cnf(i_0_2452, negated_conjecture, (element(esk519_0,powerset(the_carrier(boole_POSet(esk518_0))))), inference(split_conjunct,[status(thm)],[i_0_1123])).
% 282.28/198.90 cnf(i_0_2453, plain, (set_intersection2(X1,X2)=set_intersection2(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1124])).
% 282.28/198.90 fof(i_0_2454, lemma, ![X4316, X4317]:(~relation(X4317)|subset(relation_rng(relation_rng_restriction(X4316,X4317)),X4316)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t116_relat_1])])).
% 282.28/198.90 fof(i_0_2455, plain, ![X3152, X3153]:(~element(X3153,powerset(X3152))|element(subset_complement(X3152,X3153),powerset(X3152))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_subset_1])])).
% 282.28/198.90 fof(i_0_2456, lemma, ![X4674, X4675]:(~relation(X4675)|(~well_ordering(X4675)|~subset(X4674,relation_field(X4675))|relation_field(relation_restriction(X4675,X4674))=X4674)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t39_wellord1])])).
% 282.28/198.90 fof(i_0_2457, plain, ![X2824, X2825, X2826, X2827, X2828]:((~subset(X2824,X2825)|(~in(X2826,X2824)|in(X2826,X2825)))&((in(esk94_2(X2827,X2828),X2827)|subset(X2827,X2828))&(~in(esk94_2(X2827,X2828),X2828)|subset(X2827,X2828)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])).
% 282.28/198.90 cnf(i_0_2458, lemma, (in(X1,X2)|~subset(singleton(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1125])).
% 282.28/198.90 cnf(i_0_2459, lemma, (in(X1,X2)|~subset(singleton(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1126])).
% 282.28/198.90 cnf(i_0_2460, plain, (disjoint(X1,X2)|set_intersection2(X1,X2)!=empty_set), inference(split_conjunct,[status(thm)],[i_0_1127])).
% 282.28/198.90 cnf(i_0_2461, plain, (in(succ(esk546_0),omega)|epred1_0|esk544_0!=empty_set), inference(split_conjunct,[status(thm)],[i_0_985])).
% 282.28/198.90 fof(i_0_2462, lemma, ![X4739, X4740]:(~element(X4740,powerset(powerset(X4739)))|(X4740=empty_set|complements_of_subsets(X4739,X4740)!=empty_set)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_setfam_1])])).
% 282.28/198.90 fof(i_0_2463, lemma, ![X4307, X4308]:((X4308=empty_set|complements_of_subsets(X4307,X4308)!=empty_set|~element(X4308,powerset(powerset(X4307))))&(complements_of_subsets(X4307,X4308)=empty_set|X4308!=empty_set|~element(X4308,powerset(powerset(X4307))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_tops_2])])])).
% 282.28/198.90 fof(i_0_2464, plain, ![X4067, X4069, X4071, X4072]:((((((((in(esk408_2(X4067,X4069),X4067)|~in(X4069,esk407_1(X4067))|esk404_0=esk405_0)&(esk408_2(X4067,X4069)=X4069|~in(X4069,esk407_1(X4067))|esk404_0=esk405_0))&(ordinal(X4069)|~in(X4069,esk407_1(X4067))|esk404_0=esk405_0))&(~in(X4072,X4067)|X4072!=X4071|~ordinal(X4071)|in(X4071,esk407_1(X4067))|esk404_0=esk405_0))&((((in(esk408_2(X4067,X4069),X4067)|~in(X4069,esk407_1(X4067))|ordinal(esk405_0))&(esk408_2(X4067,X4069)=X4069|~in(X4069,esk407_1(X4067))|ordinal(esk405_0)))&(ordinal(X4069)|~in(X4069,esk407_1(X4067))|ordinal(esk405_0)))&(~in(X4072,X4067)|X4072!=X4071|~ordinal(X4071)|in(X4071,esk407_1(X4067))|ordinal(esk405_0))))&((((in(esk408_2(X4067,X4069),X4067)|~in(X4069,esk407_1(X4067))|esk404_0=esk406_0)&(esk408_2(X4067,X4069)=X4069|~in(X4069,esk407_1(X4067))|esk404_0=esk406_0))&(ordinal(X4069)|~in(X4069,esk407_1(X4067))|esk404_0=esk406_0))&(~in(X4072,X4067)|X4072!=X4071|~ordinal(X4071)|in(X4071,esk407_1(X4067))|esk404_0=esk406_0)))&((((in(esk408_2(X4067,X4069),X4067)|~in(X4069,esk407_1(X4067))|ordinal(esk406_0))&(esk408_2(X4067,X4069)=X4069|~in(X4069,esk407_1(X4067))|ordinal(esk406_0)))&(ordinal(X4069)|~in(X4069,esk407_1(X4067))|ordinal(esk406_0)))&(~in(X4072,X4067)|X4072!=X4071|~ordinal(X4071)|in(X4071,esk407_1(X4067))|ordinal(esk406_0))))&((((in(esk408_2(X4067,X4069),X4067)|~in(X4069,esk407_1(X4067))|esk405_0!=esk406_0)&(esk408_2(X4067,X4069)=X4069|~in(X4069,esk407_1(X4067))|esk405_0!=esk406_0))&(ordinal(X4069)|~in(X4069,esk407_1(X4067))|esk405_0!=esk406_0))&(~in(X4072,X4067)|X4072!=X4071|~ordinal(X4071)|in(X4071,esk407_1(X4067))|esk405_0!=esk406_0))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e6_22__wellord2__1])])])])])])).
% 282.28/198.90 fof(i_0_2465, lemma, ![X4350, X4352, X4353, X4354, X4355]:(((in(X4350,esk499_1(X4350))&(~in(X4352,esk499_1(X4350))|~subset(X4353,X4352)|in(X4353,esk499_1(X4350))))&(~in(X4354,esk499_1(X4350))|in(powerset(X4354),esk499_1(X4350))))&(~subset(X4355,esk499_1(X4350))|are_equipotent(X4355,esk499_1(X4350))|in(X4355,esk499_1(X4350)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1128])])])])).
% 282.28/198.90 cnf(i_0_2466, lemma, (relation_dom(esk475_1(X1))=X1|in(esk471_1(X1),X1)|X2!=singleton(esk474_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 cnf(i_0_2467, lemma, (relation(esk475_1(X1))|in(esk471_1(X1),X1)|X2!=singleton(esk474_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 cnf(i_0_2468, lemma, (function(esk475_1(X1))|in(esk471_1(X1),X1)|X2!=singleton(esk474_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.90 fof(i_0_2469, plain, ![X2387]:((((((((((((~empty_carrier(X2387)|(empty_carrier(X2387)|~reflexive_relstr(X2387)|~transitive_relstr(X2387)|~antisymmetric_relstr(X2387)|~with_suprema_relstr(X2387)|~with_infima_relstr(X2387)|~bounded_relstr(X2387)|~distributive_relstr(X2387)|~complemented_relstr(X2387))|~rel_str(X2387))&(reflexive_relstr(X2387)|(empty_carrier(X2387)|~reflexive_relstr(X2387)|~transitive_relstr(X2387)|~antisymmetric_relstr(X2387)|~with_suprema_relstr(X2387)|~with_infima_relstr(X2387)|~bounded_relstr(X2387)|~distributive_relstr(X2387)|~complemented_relstr(X2387))|~rel_str(X2387)))&(transitive_relstr(X2387)|(empty_carrier(X2387)|~reflexive_relstr(X2387)|~transitive_relstr(X2387)|~antisymmetric_relstr(X2387)|~with_suprema_relstr(X2387)|~with_infima_relstr(X2387)|~bounded_relstr(X2387)|~distributive_relstr(X2387)|~complemented_relstr(X2387))|~rel_str(X2387)))&(antisymmetric_relstr(X2387)|(empty_carrier(X2387)|~reflexive_relstr(X2387)|~transitive_relstr(X2387)|~antisymmetric_relstr(X2387)|~with_suprema_relstr(X2387)|~with_infima_relstr(X2387)|~bounded_relstr(X2387)|~distributive_relstr(X2387)|~complemented_relstr(X2387))|~rel_str(X2387)))&(with_suprema_relstr(X2387)|(empty_carrier(X2387)|~reflexive_relstr(X2387)|~transitive_relstr(X2387)|~antisymmetric_relstr(X2387)|~with_suprema_relstr(X2387)|~with_infima_relstr(X2387)|~bounded_relstr(X2387)|~distributive_relstr(X2387)|~complemented_relstr(X2387))|~rel_str(X2387)))&(with_infima_relstr(X2387)|(empty_carrier(X2387)|~reflexive_relstr(X2387)|~transitive_relstr(X2387)|~antisymmetric_relstr(X2387)|~with_suprema_relstr(X2387)|~with_infima_relstr(X2387)|~bounded_relstr(X2387)|~distributive_relstr(X2387)|~complemented_relstr(X2387))|~rel_str(X2387)))&(lower_bounded_relstr(X2387)|(empty_carrier(X2387)|~reflexive_relstr(X2387)|~transitive_relstr(X2387)|~antisymmetric_relstr(X2387)|~with_suprema_relstr(X2387)|~with_infima_relstr(X2387)|~bounded_relstr(X2387)|~distributive_relstr(X2387)|~complemented_relstr(X2387))|~rel_str(X2387)))&(upper_bounded_relstr(X2387)|(empty_carrier(X2387)|~reflexive_relstr(X2387)|~transitive_relstr(X2387)|~antisymmetric_relstr(X2387)|~with_suprema_relstr(X2387)|~with_infima_relstr(X2387)|~bounded_relstr(X2387)|~distributive_relstr(X2387)|~complemented_relstr(X2387))|~rel_str(X2387)))&(bounded_relstr(X2387)|(empty_carrier(X2387)|~reflexive_relstr(X2387)|~transitive_relstr(X2387)|~antisymmetric_relstr(X2387)|~with_suprema_relstr(X2387)|~with_infima_relstr(X2387)|~bounded_relstr(X2387)|~distributive_relstr(X2387)|~complemented_relstr(X2387))|~rel_str(X2387)))&(distributive_relstr(X2387)|(empty_carrier(X2387)|~reflexive_relstr(X2387)|~transitive_relstr(X2387)|~antisymmetric_relstr(X2387)|~with_suprema_relstr(X2387)|~with_infima_relstr(X2387)|~bounded_relstr(X2387)|~distributive_relstr(X2387)|~complemented_relstr(X2387))|~rel_str(X2387)))&(complemented_relstr(X2387)|(empty_carrier(X2387)|~reflexive_relstr(X2387)|~transitive_relstr(X2387)|~antisymmetric_relstr(X2387)|~with_suprema_relstr(X2387)|~with_infima_relstr(X2387)|~bounded_relstr(X2387)|~distributive_relstr(X2387)|~complemented_relstr(X2387))|~rel_str(X2387)))&(boolean_relstr(X2387)|(empty_carrier(X2387)|~reflexive_relstr(X2387)|~transitive_relstr(X2387)|~antisymmetric_relstr(X2387)|~with_suprema_relstr(X2387)|~with_infima_relstr(X2387)|~bounded_relstr(X2387)|~distributive_relstr(X2387)|~complemented_relstr(X2387))|~rel_str(X2387))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1129])])])).
% 282.28/198.90 fof(i_0_2470, plain, ![X3483, X3484]:(~element(X3484,powerset(X3483))|subset_complement(X3483,subset_complement(X3483,X3484))=X3484), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])])).
% 282.28/198.90 cnf(i_0_2471, plain, (relation_of2_as_subset(inclusion_order(X1),X1,X1)), inference(split_conjunct,[status(thm)],[i_0_1130])).
% 282.28/198.90 cnf(i_0_2472, plain, (v1_partfun1(inclusion_order(X1),X1,X1)), inference(split_conjunct,[status(thm)],[i_0_1130])).
% 282.28/198.90 fof(i_0_2473, lemma, ![X4496]:(~relation(X4496)|subset(X4496,cartesian_product2(relation_dom(X4496),relation_rng(X4496)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_relat_1])])).
% 282.28/198.90 cnf(i_0_2474, plain, (in(esk56_2(X1,X2),X2)|esk56_2(X1,X2)=X1|X2=singleton(X1)), inference(split_conjunct,[status(thm)],[i_0_1091])).
% 282.28/198.90 fof(i_0_2475, plain, ![X3616]:(((element(esk232_1(X3616),powerset(powerset(the_carrier(X3616))))|~one_sorted_str(X3616))&(~empty(esk232_1(X3616))|~one_sorted_str(X3616)))&(finite(esk232_1(X3616))|~one_sorted_str(X3616))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1131])])])])).
% 282.28/198.90 fof(i_0_2476, plain, ![X3257]:(~top_str(X3257)|element(the_topology(X3257),powerset(powerset(the_carrier(X3257))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_pre_topc])])).
% 282.28/198.90 fof(i_0_2477, plain, ![X3701, X3702]:(~element(X3702,powerset(powerset(X3701)))|meet_of_subsets(X3701,X3702)=set_meet(X3702)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_setfam_1])])).
% 282.28/198.90 fof(i_0_2478, plain, ![X3695, X3696]:(~element(X3696,powerset(powerset(X3695)))|union_of_subsets(X3695,X3696)=union(X3696)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_setfam_1])])).
% 282.28/198.90 fof(i_0_2479, plain, ![X4757, X4758, X4759]:(~in(X4757,X4758)|~element(X4758,powerset(X4759))|element(X4757,X4759)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])).
% 282.28/198.90 fof(i_0_2480, lemma, ![X3515, X3516, X3517]:(~element(X3516,powerset(X3515))|(~in(X3517,X3516)|in(X3517,X3515))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l3_subset_1])])])).
% 282.28/198.90 fof(i_0_2481, plain, ![X2911, X2912, X2913]:(((((in(empty_set,X2911)|X2911!=omega)&(being_limit_ordinal(X2911)|X2911!=omega))&(ordinal(X2911)|X2911!=omega))&(~ordinal(X2912)|(~in(empty_set,X2912)|~being_limit_ordinal(X2912)|subset(X2911,X2912))|X2911!=omega))&((ordinal(esk112_1(X2913))|(~in(empty_set,X2913)|~being_limit_ordinal(X2913)|~ordinal(X2913))|X2913=omega)&(((in(empty_set,esk112_1(X2913))|(~in(empty_set,X2913)|~being_limit_ordinal(X2913)|~ordinal(X2913))|X2913=omega)&(being_limit_ordinal(esk112_1(X2913))|(~in(empty_set,X2913)|~being_limit_ordinal(X2913)|~ordinal(X2913))|X2913=omega))&(~subset(X2913,esk112_1(X2913))|(~in(empty_set,X2913)|~being_limit_ordinal(X2913)|~ordinal(X2913))|X2913=omega)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_ordinal2])])])])])])).
% 282.28/198.91 fof(i_0_2482, lemma, ![X4688, X4689, X4691, X4692, X4693]:(((in(esk526_2(X4688,X4689),X4688)|disjoint(X4688,X4689))&(in(esk526_2(X4688,X4689),X4689)|disjoint(X4688,X4689)))&(~in(X4693,X4691)|~in(X4693,X4692)|~disjoint(X4691,X4692))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1132])])])])])])).
% 282.28/198.91 fof(i_0_2483, lemma, ![X4682, X4683, X4684]:(~in(X4682,X4683)|~in(X4683,X4684)|~in(X4684,X4682)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_ordinal1])])).
% 282.28/198.91 fof(i_0_2484, lemma, ![X4812, X4813]:((~proper_element(X4813,powerset(X4812))|X4813!=X4812|~element(X4813,powerset(X4812)))&(X4813=X4812|proper_element(X4813,powerset(X4812))|~element(X4813,powerset(X4812)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_tex_2])])])).
% 282.28/198.91 cnf(i_0_2485, lemma, (relation_dom(esk475_1(X1))=X1|X2!=singleton(esk474_1(X1))|esk472_1(X1)!=esk473_1(X1)), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.91 cnf(i_0_2486, plain, (in(esk63_2(X1,X2),X1)|X2=inclusion_relation(X1)|relation_field(X2)!=X1|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_931])).
% 282.28/198.91 cnf(i_0_2487, plain, (in(esk62_2(X1,X2),X1)|X2=inclusion_relation(X1)|relation_field(X2)!=X1|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_931])).
% 282.28/198.91 cnf(i_0_2488, lemma, (relation(esk475_1(X1))|X2!=singleton(esk474_1(X1))|esk472_1(X1)!=esk473_1(X1)), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.91 cnf(i_0_2489, lemma, (function(esk475_1(X1))|X2!=singleton(esk474_1(X1))|esk472_1(X1)!=esk473_1(X1)), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.91 fof(i_0_2490, plain, ![X2806, X2807]:(empty_carrier(X2806)|~lattice(X2806)|~latt_str(X2806)|(~element(X2807,the_carrier(X2806))|cast_to_el_of_LattPOSet(X2806,X2807)=X2807)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1133])])])).
% 282.28/198.91 fof(i_0_2491, plain, ![X2713, X2714]:(empty_carrier(X2713)|~latt_str(X2713)|meet_of_latt_set(X2713,X2714)=join_of_latt_set(X2713,a_2_2_lattice3(X2713,X2714))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1134])])])).
% 282.28/198.91 fof(i_0_2492, plain, ![X3549]:((((element(esk182_1(X3549),powerset(the_carrier(X3549)))|(empty_carrier(X3549)|~reflexive_relstr(X3549)|~transitive_relstr(X3549)|~rel_str(X3549)))&(~empty(esk182_1(X3549))|(empty_carrier(X3549)|~reflexive_relstr(X3549)|~transitive_relstr(X3549)|~rel_str(X3549))))&(filtered_subset(esk182_1(X3549),X3549)|(empty_carrier(X3549)|~reflexive_relstr(X3549)|~transitive_relstr(X3549)|~rel_str(X3549))))&(upper_relstr_subset(esk182_1(X3549),X3549)|(empty_carrier(X3549)|~reflexive_relstr(X3549)|~transitive_relstr(X3549)|~rel_str(X3549)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1135])])])])).
% 282.28/198.91 fof(i_0_2493, plain, ![X2365]:(((((((((((((((~empty_carrier(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365))&(reflexive_relstr(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365)))&(transitive_relstr(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365)))&(antisymmetric_relstr(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365)))&(lower_bounded_relstr(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365)))&(upper_bounded_relstr(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365)))&(bounded_relstr(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365)))&(up_complete_relstr(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365)))&(join_complete_relstr(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365)))&(~v1_yellow_3(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365)))&(v1_waybel_2(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365)))&(v2_waybel_2(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365)))&(with_suprema_relstr(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365)))&(with_infima_relstr(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365)))&(complete_relstr(X2365)|(~reflexive_relstr(X2365)|~transitive_relstr(X2365)|~antisymmetric_relstr(X2365)|~lower_bounded_relstr(X2365)|~v3_waybel_3(X2365)|~with_suprema_relstr(X2365)|~with_infima_relstr(X2365))|~rel_str(X2365))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1136])])])).
% 282.28/198.91 fof(i_0_2494, plain, ![X2373]:(((((((~empty_carrier(X2373)|(~reflexive_relstr(X2373)|~transitive_relstr(X2373)|~antisymmetric_relstr(X2373)|~with_suprema_relstr(X2373)|~lower_bounded_relstr(X2373)|~up_complete_relstr(X2373)|~v2_waybel_3(X2373))|~rel_str(X2373))&(reflexive_relstr(X2373)|(~reflexive_relstr(X2373)|~transitive_relstr(X2373)|~antisymmetric_relstr(X2373)|~with_suprema_relstr(X2373)|~lower_bounded_relstr(X2373)|~up_complete_relstr(X2373)|~v2_waybel_3(X2373))|~rel_str(X2373)))&(transitive_relstr(X2373)|(~reflexive_relstr(X2373)|~transitive_relstr(X2373)|~antisymmetric_relstr(X2373)|~with_suprema_relstr(X2373)|~lower_bounded_relstr(X2373)|~up_complete_relstr(X2373)|~v2_waybel_3(X2373))|~rel_str(X2373)))&(antisymmetric_relstr(X2373)|(~reflexive_relstr(X2373)|~transitive_relstr(X2373)|~antisymmetric_relstr(X2373)|~with_suprema_relstr(X2373)|~lower_bounded_relstr(X2373)|~up_complete_relstr(X2373)|~v2_waybel_3(X2373))|~rel_str(X2373)))&(with_suprema_relstr(X2373)|(~reflexive_relstr(X2373)|~transitive_relstr(X2373)|~antisymmetric_relstr(X2373)|~with_suprema_relstr(X2373)|~lower_bounded_relstr(X2373)|~up_complete_relstr(X2373)|~v2_waybel_3(X2373))|~rel_str(X2373)))&(lower_bounded_relstr(X2373)|(~reflexive_relstr(X2373)|~transitive_relstr(X2373)|~antisymmetric_relstr(X2373)|~with_suprema_relstr(X2373)|~lower_bounded_relstr(X2373)|~up_complete_relstr(X2373)|~v2_waybel_3(X2373))|~rel_str(X2373)))&(v3_waybel_3(X2373)|(~reflexive_relstr(X2373)|~transitive_relstr(X2373)|~antisymmetric_relstr(X2373)|~with_suprema_relstr(X2373)|~lower_bounded_relstr(X2373)|~up_complete_relstr(X2373)|~v2_waybel_3(X2373))|~rel_str(X2373))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1137])])])).
% 282.28/198.91 fof(i_0_2495, lemma, ![X4397, X4398]:(~relation(X4397)|(~relation(X4398)|relation_rng(relation_composition(X4397,X4398))=relation_image(X4398,relation_rng(X4397)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t160_relat_1])])])).
% 282.28/198.91 fof(i_0_2496, plain, ![X2383, X2384]:((transitive_relstr(X2384)|~full_subrelstr(X2384,X2383)|~subrelstr(X2384,X2383)|(~transitive_relstr(X2383)|~rel_str(X2383)))&(full_subrelstr(X2384,X2383)|~full_subrelstr(X2384,X2383)|~subrelstr(X2384,X2383)|(~transitive_relstr(X2383)|~rel_str(X2383)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc7_yellow_0])])])])).
% 282.28/198.91 cnf(i_0_2497, lemma, (subset(X1,singleton(X2))|X1!=singleton(X2)), inference(split_conjunct,[status(thm)],[i_0_1121])).
% 282.28/198.91 cnf(i_0_2498, lemma, (subset(X1,singleton(X2))|X1!=singleton(X2)), inference(split_conjunct,[status(thm)],[i_0_1122])).
% 282.28/198.91 cnf(i_0_2499, lemma, (set_union2(singleton(X1),X2)=X2|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1138])).
% 282.28/198.91 cnf(i_0_2500, lemma, (set_union2(singleton(X1),X2)=X2|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1139])).
% 282.28/198.91 cnf(i_0_2501, lemma, (set_intersection2(X1,X2)=X1|~subset(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1140])).
% 282.28/198.91 fof(i_0_2502, lemma, ![X4726, X4727]:(~subset(X4726,X4727)|X4727=set_union2(X4726,set_difference(X4727,X4726))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t45_xboole_1])])).
% 282.28/198.91 fof(i_0_2503, lemma, ![X4545, X4546]:((subset(relation_dom(X4545),relation_dom(X4546))|~subset(X4545,X4546)|~relation(X4546)|~relation(X4545))&(subset(relation_rng(X4545),relation_rng(X4546))|~subset(X4545,X4546)|~relation(X4546)|~relation(X4545))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_relat_1])])])])).
% 282.28/198.91 fof(i_0_2504, lemma, ![X4427, X4428]:(~relation(X4428)|(X4427=empty_set|~subset(X4427,relation_rng(X4428))|relation_inverse_image(X4428,X4427)!=empty_set)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t174_relat_1])])).
% 282.28/198.91 cnf(i_0_2505, lemma, (subset(singleton(X1),X2)|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1125])).
% 282.28/198.91 cnf(i_0_2506, lemma, (subset(singleton(X1),X2)|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1126])).
% 282.28/198.91 cnf(i_0_2507, plain, (set_intersection2(X1,X2)=empty_set|~disjoint(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1127])).
% 282.28/198.91 cnf(i_0_2508, lemma, (relation_dom(esk475_1(X1))=X1|in(esk474_1(X1),X1)|esk473_1(X1)=singleton(esk471_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.91 cnf(i_0_2509, lemma, (relation_dom(esk475_1(X1))=X1|in(esk474_1(X1),X1)|esk472_1(X1)=singleton(esk471_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.91 fof(i_0_2510, plain, ![X4809, X4810, X4811]:(~in(X4809,X4810)|~element(X4810,powerset(X4811))|~empty(X4811)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])])).
% 282.28/198.91 cnf(i_0_2511, lemma, (relation(esk475_1(X1))|in(esk474_1(X1),X1)|esk473_1(X1)=singleton(esk471_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.91 cnf(i_0_2512, lemma, (function(esk475_1(X1))|in(esk474_1(X1),X1)|esk473_1(X1)=singleton(esk471_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.91 cnf(i_0_2513, lemma, (relation(esk475_1(X1))|in(esk474_1(X1),X1)|esk472_1(X1)=singleton(esk471_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.91 cnf(i_0_2514, lemma, (function(esk475_1(X1))|in(esk474_1(X1),X1)|esk472_1(X1)=singleton(esk471_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1077])).
% 282.28/198.91 fof(i_0_2515, lemma, ![X4438, X4439]:(~relation(X4439)|relation_restriction(X4439,X4438)=relation_dom_restriction(relation_rng_restriction(X4438,X4439),X4438)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_wellord1])])).
% 282.28/198.91 fof(i_0_2516, lemma, ![X4446, X4447]:(~relation(X4447)|relation_restriction(X4447,X4446)=relation_rng_restriction(X4446,relation_dom_restriction(X4447,X4446))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t18_wellord1])])).
% 282.28/198.91 fof(i_0_2517, lemma, ![X4549, X4550]:((relation_field(relation_restriction(X4550,X4549))=X4549|~well_orders(X4550,X4549)|~relation(X4550))&(well_ordering(relation_restriction(X4550,X4549))|~well_orders(X4550,X4549)|~relation(X4550))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_wellord2])])])).
% 282.28/198.91 cnf(i_0_2518, plain, (relation_of2_as_subset(identity_as_relation_of(X1),X1,X1)), inference(split_conjunct,[status(thm)],[i_0_1141])).
% 282.28/198.91 cnf(i_0_2519, plain, (identity_as_relation_of(X1)=identity_relation(X1)), inference(split_conjunct,[status(thm)],[i_0_1142])).
% 282.28/198.91 fof(i_0_2520, plain, ![X3585]:((((((relation_of2(esk211_1(X3585),X3585,X3585)&relation(esk211_1(X3585)))&function(esk211_1(X3585)))&one_to_one(esk211_1(X3585)))&quasi_total(esk211_1(X3585),X3585,X3585))&onto(esk211_1(X3585),X3585,X3585))&bijective(esk211_1(X3585),X3585,X3585)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_2])])).
% 282.28/198.91 fof(i_0_2521, plain, ![X3612]:((((((relation_of2(esk229_1(X3612),X3612,X3612)&relation(esk229_1(X3612)))&reflexive(esk229_1(X3612)))&symmetric(esk229_1(X3612)))&antisymmetric(esk229_1(X3612)))&transitive(esk229_1(X3612)))&v1_partfun1(esk229_1(X3612),X3612,X3612)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_partfun1])])).
% 282.28/198.91 cnf(i_0_2522, plain, (v1_partfun1(identity_as_relation_of(X1),X1,X1)), inference(split_conjunct,[status(thm)],[i_0_1141])).
% 282.28/198.91 fof(i_0_2523, plain, ![X2927, X2928]:(~element(X2928,powerset(X2927))|subset_complement(X2927,X2928)=set_difference(X2927,X2928)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_subset_1])])).
% 282.28/198.91 fof(i_0_2524, lemma, ![X4584, X4585]:((join_of_latt_set(X4584,X4585)=join_on_relstr(poset_of_lattice(X4584),X4585)|(empty_carrier(X4584)|~lattice(X4584)|~complete_latt_str(X4584)|~latt_str(X4584)))&(meet_of_latt_set(X4584,X4585)=meet_on_relstr(poset_of_lattice(X4584),X4585)|(empty_carrier(X4584)|~lattice(X4584)|~complete_latt_str(X4584)|~latt_str(X4584)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1143])])])])).
% 282.28/198.91 fof(i_0_2525, lemma, ![X4833, X4834, X4835]:(~subset(X4833,X4834)|~disjoint(X4834,X4835)|disjoint(X4833,X4835)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t63_xboole_1])])).
% 282.28/198.91 fof(i_0_2526, lemma, ![X4470, X4471, X4472]:(~subset(X4470,X4471)|~subset(X4471,X4472)|subset(X4470,X4472)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])])).
% 282.28/198.91 fof(i_0_2527, plain, ![X2344]:((~empty_carrier(X2344)|(empty_carrier(X2344)|~join_commutative(X2344)|~join_associative(X2344)|~meet_commutative(X2344)|~meet_associative(X2344)|~meet_absorbing(X2344)|~join_absorbing(X2344))|~latt_str(X2344))&(lattice(X2344)|(empty_carrier(X2344)|~join_commutative(X2344)|~join_associative(X2344)|~meet_commutative(X2344)|~meet_associative(X2344)|~meet_absorbing(X2344)|~join_absorbing(X2344))|~latt_str(X2344))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1144])])])).
% 282.28/198.91 fof(i_0_2528, plain, ![X2347]:(((((((((((((~empty_carrier(X2347)|(empty_carrier(X2347)|~reflexive_relstr(X2347)|~transitive_relstr(X2347)|~antisymmetric_relstr(X2347)|~lower_bounded_relstr(X2347)|~connected_relstr(X2347)|~up_complete_relstr(X2347))|~rel_str(X2347))&(reflexive_relstr(X2347)|(empty_carrier(X2347)|~reflexive_relstr(X2347)|~transitive_relstr(X2347)|~antisymmetric_relstr(X2347)|~lower_bounded_relstr(X2347)|~connected_relstr(X2347)|~up_complete_relstr(X2347))|~rel_str(X2347)))&(transitive_relstr(X2347)|(empty_carrier(X2347)|~reflexive_relstr(X2347)|~transitive_relstr(X2347)|~antisymmetric_relstr(X2347)|~lower_bounded_relstr(X2347)|~connected_relstr(X2347)|~up_complete_relstr(X2347))|~rel_str(X2347)))&(antisymmetric_relstr(X2347)|(empty_carrier(X2347)|~reflexive_relstr(X2347)|~transitive_relstr(X2347)|~antisymmetric_relstr(X2347)|~lower_bounded_relstr(X2347)|~connected_relstr(X2347)|~up_complete_relstr(X2347))|~rel_str(X2347)))&(with_suprema_relstr(X2347)|(empty_carrier(X2347)|~reflexive_relstr(X2347)|~transitive_relstr(X2347)|~antisymmetric_relstr(X2347)|~lower_bounded_relstr(X2347)|~connected_relstr(X2347)|~up_complete_relstr(X2347))|~rel_str(X2347)))&(with_infima_relstr(X2347)|(empty_carrier(X2347)|~reflexive_relstr(X2347)|~transitive_relstr(X2347)|~antisymmetric_relstr(X2347)|~lower_bounded_relstr(X2347)|~connected_relstr(X2347)|~up_complete_relstr(X2347))|~rel_str(X2347)))&(complete_relstr(X2347)|(empty_carrier(X2347)|~reflexive_relstr(X2347)|~transitive_relstr(X2347)|~antisymmetric_relstr(X2347)|~lower_bounded_relstr(X2347)|~connected_relstr(X2347)|~up_complete_relstr(X2347))|~rel_str(X2347)))&(lower_bounded_relstr(X2347)|(empty_carrier(X2347)|~reflexive_relstr(X2347)|~transitive_relstr(X2347)|~antisymmetric_relstr(X2347)|~lower_bounded_relstr(X2347)|~connected_relstr(X2347)|~up_complete_relstr(X2347))|~rel_str(X2347)))&(upper_bounded_relstr(X2347)|(empty_carrier(X2347)|~reflexive_relstr(X2347)|~transitive_relstr(X2347)|~antisymmetric_relstr(X2347)|~lower_bounded_relstr(X2347)|~connected_relstr(X2347)|~up_complete_relstr(X2347))|~rel_str(X2347)))&(bounded_relstr(X2347)|(empty_carrier(X2347)|~reflexive_relstr(X2347)|~transitive_relstr(X2347)|~antisymmetric_relstr(X2347)|~lower_bounded_relstr(X2347)|~connected_relstr(X2347)|~up_complete_relstr(X2347))|~rel_str(X2347)))&(connected_relstr(X2347)|(empty_carrier(X2347)|~reflexive_relstr(X2347)|~transitive_relstr(X2347)|~antisymmetric_relstr(X2347)|~lower_bounded_relstr(X2347)|~connected_relstr(X2347)|~up_complete_relstr(X2347))|~rel_str(X2347)))&(up_complete_relstr(X2347)|(empty_carrier(X2347)|~reflexive_relstr(X2347)|~transitive_relstr(X2347)|~antisymmetric_relstr(X2347)|~lower_bounded_relstr(X2347)|~connected_relstr(X2347)|~up_complete_relstr(X2347))|~rel_str(X2347)))&(join_complete_relstr(X2347)|(empty_carrier(X2347)|~reflexive_relstr(X2347)|~transitive_relstr(X2347)|~antisymmetric_relstr(X2347)|~lower_bounded_relstr(X2347)|~connected_relstr(X2347)|~up_complete_relstr(X2347))|~rel_str(X2347))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1145])])])).
% 282.28/198.91 fof(i_0_2529, plain, ![X2294]:((((((((((~empty_carrier(X2294)|(empty_carrier(X2294)|~reflexive_relstr(X2294)|~transitive_relstr(X2294)|~antisymmetric_relstr(X2294)|~with_suprema_relstr(X2294)|~lower_bounded_relstr(X2294)|~up_complete_relstr(X2294))|~rel_str(X2294))&(reflexive_relstr(X2294)|(empty_carrier(X2294)|~reflexive_relstr(X2294)|~transitive_relstr(X2294)|~antisymmetric_relstr(X2294)|~with_suprema_relstr(X2294)|~lower_bounded_relstr(X2294)|~up_complete_relstr(X2294))|~rel_str(X2294)))&(transitive_relstr(X2294)|(empty_carrier(X2294)|~reflexive_relstr(X2294)|~transitive_relstr(X2294)|~antisymmetric_relstr(X2294)|~with_suprema_relstr(X2294)|~lower_bounded_relstr(X2294)|~up_complete_relstr(X2294))|~rel_str(X2294)))&(antisymmetric_relstr(X2294)|(empty_carrier(X2294)|~reflexive_relstr(X2294)|~transitive_relstr(X2294)|~antisymmetric_relstr(X2294)|~with_suprema_relstr(X2294)|~lower_bounded_relstr(X2294)|~up_complete_relstr(X2294))|~rel_str(X2294)))&(with_suprema_relstr(X2294)|(empty_carrier(X2294)|~reflexive_relstr(X2294)|~transitive_relstr(X2294)|~antisymmetric_relstr(X2294)|~with_suprema_relstr(X2294)|~lower_bounded_relstr(X2294)|~up_complete_relstr(X2294))|~rel_str(X2294)))&(with_infima_relstr(X2294)|(empty_carrier(X2294)|~reflexive_relstr(X2294)|~transitive_relstr(X2294)|~antisymmetric_relstr(X2294)|~with_suprema_relstr(X2294)|~lower_bounded_relstr(X2294)|~up_complete_relstr(X2294))|~rel_str(X2294)))&(complete_relstr(X2294)|(empty_carrier(X2294)|~reflexive_relstr(X2294)|~transitive_relstr(X2294)|~antisymmetric_relstr(X2294)|~with_suprema_relstr(X2294)|~lower_bounded_relstr(X2294)|~up_complete_relstr(X2294))|~rel_str(X2294)))&(lower_bounded_relstr(X2294)|(empty_carrier(X2294)|~reflexive_relstr(X2294)|~transitive_relstr(X2294)|~antisymmetric_relstr(X2294)|~with_suprema_relstr(X2294)|~lower_bounded_relstr(X2294)|~up_complete_relstr(X2294))|~rel_str(X2294)))&(upper_bounded_relstr(X2294)|(empty_carrier(X2294)|~reflexive_relstr(X2294)|~transitive_relstr(X2294)|~antisymmetric_relstr(X2294)|~with_suprema_relstr(X2294)|~lower_bounded_relstr(X2294)|~up_complete_relstr(X2294))|~rel_str(X2294)))&(bounded_relstr(X2294)|(empty_carrier(X2294)|~reflexive_relstr(X2294)|~transitive_relstr(X2294)|~antisymmetric_relstr(X2294)|~with_suprema_relstr(X2294)|~lower_bounded_relstr(X2294)|~up_complete_relstr(X2294))|~rel_str(X2294))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1146])])])).
% 282.28/198.91 fof(i_0_2530, plain, ![X2331]:((((((((((((~empty_carrier(X2331)|(empty_carrier(X2331)|~reflexive_relstr(X2331)|~transitive_relstr(X2331)|~antisymmetric_relstr(X2331)|~upper_bounded_relstr(X2331)|~up_complete_relstr(X2331)|~join_complete_relstr(X2331))|~rel_str(X2331))&(reflexive_relstr(X2331)|(empty_carrier(X2331)|~reflexive_relstr(X2331)|~transitive_relstr(X2331)|~antisymmetric_relstr(X2331)|~upper_bounded_relstr(X2331)|~up_complete_relstr(X2331)|~join_complete_relstr(X2331))|~rel_str(X2331)))&(transitive_relstr(X2331)|(empty_carrier(X2331)|~reflexive_relstr(X2331)|~transitive_relstr(X2331)|~antisymmetric_relstr(X2331)|~upper_bounded_relstr(X2331)|~up_complete_relstr(X2331)|~join_complete_relstr(X2331))|~rel_str(X2331)))&(antisymmetric_relstr(X2331)|(empty_carrier(X2331)|~reflexive_relstr(X2331)|~transitive_relstr(X2331)|~antisymmetric_relstr(X2331)|~upper_bounded_relstr(X2331)|~up_complete_relstr(X2331)|~join_complete_relstr(X2331))|~rel_str(X2331)))&(lower_bounded_relstr(X2331)|(empty_carrier(X2331)|~reflexive_relstr(X2331)|~transitive_relstr(X2331)|~antisymmetric_relstr(X2331)|~upper_bounded_relstr(X2331)|~up_complete_relstr(X2331)|~join_complete_relstr(X2331))|~rel_str(X2331)))&(upper_bounded_relstr(X2331)|(empty_carrier(X2331)|~reflexive_relstr(X2331)|~transitive_relstr(X2331)|~antisymmetric_relstr(X2331)|~upper_bounded_relstr(X2331)|~up_complete_relstr(X2331)|~join_complete_relstr(X2331))|~rel_str(X2331)))&(bounded_relstr(X2331)|(empty_carrier(X2331)|~reflexive_relstr(X2331)|~transitive_relstr(X2331)|~antisymmetric_relstr(X2331)|~upper_bounded_relstr(X2331)|~up_complete_relstr(X2331)|~join_complete_relstr(X2331))|~rel_str(X2331)))&(up_complete_relstr(X2331)|(empty_carrier(X2331)|~reflexive_relstr(X2331)|~transitive_relstr(X2331)|~antisymmetric_relstr(X2331)|~upper_bounded_relstr(X2331)|~up_complete_relstr(X2331)|~join_complete_relstr(X2331))|~rel_str(X2331)))&(join_complete_relstr(X2331)|(empty_carrier(X2331)|~reflexive_relstr(X2331)|~transitive_relstr(X2331)|~antisymmetric_relstr(X2331)|~upper_bounded_relstr(X2331)|~up_complete_relstr(X2331)|~join_complete_relstr(X2331))|~rel_str(X2331)))&(with_suprema_relstr(X2331)|(empty_carrier(X2331)|~reflexive_relstr(X2331)|~transitive_relstr(X2331)|~antisymmetric_relstr(X2331)|~upper_bounded_relstr(X2331)|~up_complete_relstr(X2331)|~join_complete_relstr(X2331))|~rel_str(X2331)))&(with_infima_relstr(X2331)|(empty_carrier(X2331)|~reflexive_relstr(X2331)|~transitive_relstr(X2331)|~antisymmetric_relstr(X2331)|~upper_bounded_relstr(X2331)|~up_complete_relstr(X2331)|~join_complete_relstr(X2331))|~rel_str(X2331)))&(complete_relstr(X2331)|(empty_carrier(X2331)|~reflexive_relstr(X2331)|~transitive_relstr(X2331)|~antisymmetric_relstr(X2331)|~upper_bounded_relstr(X2331)|~up_complete_relstr(X2331)|~join_complete_relstr(X2331))|~rel_str(X2331))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1147])])])).
% 282.28/198.91 fof(i_0_2531, plain, ![X3311, X3312]:((relation(relation_composition(X3311,X3312))|(~relation(X3311)|~function(X3311)|~relation(X3312)|~function(X3312)))&(function(relation_composition(X3311,X3312))|(~relation(X3311)|~function(X3311)|~relation(X3312)|~function(X3312)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_funct_1])])])).
% 282.28/198.91 fof(i_0_2532, plain, ![X3099, X3100]:(empty_carrier(X3099)|~latt_str(X3099)|element(meet_of_latt_set(X3099,X3100),the_carrier(X3099))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1148])])).
% 282.28/198.91 fof(i_0_2533, plain, ![X3097, X3098]:(empty_carrier(X3097)|~latt_str(X3097)|element(join_of_latt_set(X3097,X3098),the_carrier(X3097))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1149])])).
% 282.28/198.91 fof(i_0_2534, plain, ![X3636]:(((element(esk244_1(X3636),powerset(the_carrier(X3636)))|(empty_carrier(X3636)|~topological_space(X3636)|~top_str(X3636)))&(~empty(esk244_1(X3636))|(empty_carrier(X3636)|~topological_space(X3636)|~top_str(X3636))))&(closed_subset(esk244_1(X3636),X3636)|(empty_carrier(X3636)|~topological_space(X3636)|~top_str(X3636)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1150])])])])).
% 282.28/198.91 fof(i_0_2535, plain, ![X3600]:(((((element(esk220_1(X3600),powerset(the_carrier(X3600)))|(empty_carrier(X3600)|~reflexive_relstr(X3600)|~rel_str(X3600)))&(~empty(esk220_1(X3600))|(empty_carrier(X3600)|~reflexive_relstr(X3600)|~rel_str(X3600))))&(finite(esk220_1(X3600))|(empty_carrier(X3600)|~reflexive_relstr(X3600)|~rel_str(X3600))))&(directed_subset(esk220_1(X3600),X3600)|(empty_carrier(X3600)|~reflexive_relstr(X3600)|~rel_str(X3600))))&(filtered_subset(esk220_1(X3600),X3600)|(empty_carrier(X3600)|~reflexive_relstr(X3600)|~rel_str(X3600)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1151])])])])).
% 282.28/198.91 fof(i_0_2536, plain, ![X2584, X2586, X2587]:(((((relation(esk38_1(X2584))|~finite(X2584))&(function(esk38_1(X2584))|~finite(X2584)))&(relation_rng(esk38_1(X2584))=X2584|~finite(X2584)))&(in(relation_dom(esk38_1(X2584)),omega)|~finite(X2584)))&(~relation(X2587)|~function(X2587)|relation_rng(X2587)!=X2586|~in(relation_dom(X2587),omega)|finite(X2586))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_finset_1])])])])])])).
% 282.28/198.91 fof(i_0_2537, plain, ![X3404, X3405]:(empty(X3404)|empty(X3405)|~empty(cartesian_product2(X3404,X3405))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1152])])).
% 282.28/198.91 cnf(i_0_2538, lemma, (apply(esk493_1(X2),X1)=singleton(X1)|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1153])).
% 282.28/198.91 cnf(i_0_2539, lemma, (in(X1,X2)|set_difference(X2,singleton(X1))=X2), inference(split_conjunct,[status(thm)],[i_0_1113])).
% 282.28/198.91 cnf(i_0_2540, lemma, (in(X1,X2)|disjoint(singleton(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1154])).
% 282.28/198.91 fof(i_0_2541, lemma, ![X4695, X4696]:set_difference(set_union2(X4695,X4696),X4696)=set_difference(X4695,X4696), inference(variable_rename,[status(thm)],[t40_xboole_1])).
% 282.28/198.91 fof(i_0_2542, lemma, ![X4676, X4677]:set_union2(X4676,set_difference(X4677,X4676))=set_union2(X4676,X4677), inference(variable_rename,[status(thm)],[t39_xboole_1])).
% 282.28/198.91 fof(i_0_2543, plain, ![X3221, X3222]:((strict_latt_str(k8_filter_1(X3221,X3222))|(empty_carrier(X3221)|~latt_str(X3221)|empty_carrier(X3222)|~latt_str(X3222)))&(latt_str(k8_filter_1(X3221,X3222))|(empty_carrier(X3221)|~latt_str(X3221)|empty_carrier(X3222)|~latt_str(X3222)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1155])])])).
% 282.28/198.91 fof(i_0_2544, plain, ![X2882, X2883, X2885, X2886, X2887]:((((((relation(esk106_2(X2882,X2883))|~equipotent(X2882,X2883))&(function(esk106_2(X2882,X2883))|~equipotent(X2882,X2883)))&(one_to_one(esk106_2(X2882,X2883))|~equipotent(X2882,X2883)))&(relation_dom(esk106_2(X2882,X2883))=X2882|~equipotent(X2882,X2883)))&(relation_rng(esk106_2(X2882,X2883))=X2883|~equipotent(X2882,X2883)))&(~relation(X2887)|~function(X2887)|~one_to_one(X2887)|relation_dom(X2887)!=X2885|relation_rng(X2887)!=X2886|equipotent(X2885,X2886))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_wellord2])])])])])])).
% 282.28/198.91 fof(i_0_2545, plain, ![X2756, X2757]:((~proper_element(X2757,X2756)|X2757!=union(X2756)|~element(X2757,X2756))&(X2757=union(X2756)|proper_element(X2757,X2756)|~element(X2757,X2756))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tex_2])])])).
% 282.28/198.91 fof(i_0_2546, lemma, ![X4623]:((in(esk522_1(X4623),X4623)|ordinal(X4623))&(~ordinal(esk522_1(X4623))|~subset(esk522_1(X4623),X4623)|ordinal(X4623))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t31_ordinal1])])])])).
% 282.28/198.91 fof(i_0_2547, plain, ![X2940]:((~antisymmetric_relstr(X2940)|is_antisymmetric_in(the_InternalRel(X2940),the_carrier(X2940))|~rel_str(X2940))&(~is_antisymmetric_in(the_InternalRel(X2940),the_carrier(X2940))|antisymmetric_relstr(X2940)|~rel_str(X2940))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_orders_2])])])).
% 282.28/198.91 fof(i_0_2548, plain, ![X2910]:((~transitive_relstr(X2910)|is_transitive_in(the_InternalRel(X2910),the_carrier(X2910))|~rel_str(X2910))&(~is_transitive_in(the_InternalRel(X2910),the_carrier(X2910))|transitive_relstr(X2910)|~rel_str(X2910))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_orders_2])])])).
% 282.28/198.91 fof(i_0_2549, lemma, ![X4404, X4405]:(~relation(X4405)|subset(relation_inverse_image(X4405,X4404),relation_dom(X4405))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t167_relat_1])])).
% 282.28/198.91 fof(i_0_2550, lemma, ![X4371, X4372]:(~relation(X4372)|subset(relation_image(X4372,X4371),relation_rng(X4372))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t144_relat_1])])).
% 282.28/198.91 fof(i_0_2551, plain, ![X3120, X3121]:(~rel_str(X3120)|element(join_on_relstr(X3120,X3121),the_carrier(X3120))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_yellow_0])])).
% 282.28/198.91 fof(i_0_2552, plain, ![X3145, X3146]:(~rel_str(X3145)|element(meet_on_relstr(X3145,X3146),the_carrier(X3145))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_yellow_0])])).
% 282.28/198.91 fof(i_0_2553, plain, ![X3631]:((element(esk242_1(X3631),powerset(the_carrier(X3631)))|(~topological_space(X3631)|~top_str(X3631)))&(closed_subset(esk242_1(X3631),X3631)|(~topological_space(X3631)|~top_str(X3631)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc6_pre_topc])])])])).
% 282.28/198.91 fof(i_0_2554, plain, ![X3598]:(((element(esk219_1(X3598),powerset(the_carrier(X3598)))|(~topological_space(X3598)|~top_str(X3598)))&(open_subset(esk219_1(X3598),X3598)|(~topological_space(X3598)|~top_str(X3598))))&(closed_subset(esk219_1(X3598),X3598)|(~topological_space(X3598)|~top_str(X3598)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc2_tops_1])])])])).
% 282.28/198.91 fof(i_0_2555, plain, ![X3572]:((element(esk201_1(X3572),powerset(the_carrier(X3572)))|(~topological_space(X3572)|~top_str(X3572)))&(open_subset(esk201_1(X3572),X3572)|(~topological_space(X3572)|~top_str(X3572)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc1_tops_1])])])])).
% 282.28/198.91 fof(i_0_2556, plain, ![X3354, X3355]:(empty(X3354)|~empty(set_union2(X3354,X3355))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1156])])).
% 282.28/198.91 fof(i_0_2557, plain, ![X3392, X3393]:(empty(X3392)|~empty(set_union2(X3393,X3392))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1157])])).
% 282.28/198.91 fof(i_0_2558, plain, ![X2380]:((((((~empty_carrier(X2380)|(empty_carrier(X2380)|~reflexive_relstr(X2380)|~transitive_relstr(X2380)|~antisymmetric_relstr(X2380)|~complete_relstr(X2380)|~connected_relstr(X2380))|~rel_str(X2380))&(reflexive_relstr(X2380)|(empty_carrier(X2380)|~reflexive_relstr(X2380)|~transitive_relstr(X2380)|~antisymmetric_relstr(X2380)|~complete_relstr(X2380)|~connected_relstr(X2380))|~rel_str(X2380)))&(transitive_relstr(X2380)|(empty_carrier(X2380)|~reflexive_relstr(X2380)|~transitive_relstr(X2380)|~antisymmetric_relstr(X2380)|~complete_relstr(X2380)|~connected_relstr(X2380))|~rel_str(X2380)))&(antisymmetric_relstr(X2380)|(empty_carrier(X2380)|~reflexive_relstr(X2380)|~transitive_relstr(X2380)|~antisymmetric_relstr(X2380)|~complete_relstr(X2380)|~connected_relstr(X2380))|~rel_str(X2380)))&(connected_relstr(X2380)|(empty_carrier(X2380)|~reflexive_relstr(X2380)|~transitive_relstr(X2380)|~antisymmetric_relstr(X2380)|~complete_relstr(X2380)|~connected_relstr(X2380))|~rel_str(X2380)))&(v2_waybel_3(X2380)|(empty_carrier(X2380)|~reflexive_relstr(X2380)|~transitive_relstr(X2380)|~antisymmetric_relstr(X2380)|~complete_relstr(X2380)|~connected_relstr(X2380))|~rel_str(X2380))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1158])])])).
% 282.28/198.91 fof(i_0_2559, lemma, ![X4432, X4433]:(~relation(X4433)|~function(X4433)|(~finite(X4432)|finite(relation_image(X4433,X4432)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_finset_1])])).
% 282.28/198.91 fof(i_0_2560, plain, ![X3297, X3298]:(~relation(X3297)|~function(X3297)|~finite(X3298)|finite(relation_image(X3297,X3298))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_finset_1])])).
% 282.28/198.91 fof(i_0_2561, plain, ![X3726, X3727]:((~ordinal_subset(X3726,X3727)|subset(X3726,X3727)|(~ordinal(X3726)|~ordinal(X3727)))&(~subset(X3726,X3727)|ordinal_subset(X3726,X3727)|(~ordinal(X3726)|~ordinal(X3727)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_ordinal1])])])).
% 282.28/198.91 fof(i_0_2562, lemma, ![X4494, X4495]:(~epsilon_transitive(X4494)|(~ordinal(X4495)|(~proper_subset(X4494,X4495)|in(X4494,X4495)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_ordinal1])])])).
% 282.28/198.91 fof(i_0_2563, plain, ![X3627]:((element(esk239_1(X3627),powerset(the_carrier(X3627)))|(empty_carrier(X3627)|~one_sorted_str(X3627)))&(~empty(esk239_1(X3627))|(empty_carrier(X3627)|~one_sorted_str(X3627)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1159])])])])).
% 282.28/198.91 fof(i_0_2564, lemma, ![X4196, X4198, X4199]:(((in(X4198,X4196)|~in(X4198,esk454_1(X4196)))&(ordinal(X4198)|~in(X4198,esk454_1(X4196))))&(~in(X4199,X4196)|~ordinal(X4199)|in(X4199,esk454_1(X4196)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_xboole_0__e6_22__wellord2])])])])])])).
% 282.28/198.91 fof(i_0_2565, plain, ![X2719]:(empty_carrier(X2719)|~lattice(X2719)|~latt_str(X2719)|poset_of_lattice(X2719)=rel_str_of(the_carrier(X2719),k2_lattice3(X2719))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1160])])).
% 282.28/198.91 cnf(i_0_2566, plain, (X1=X3|~in(X1,X2)|X2!=singleton(X3)), inference(split_conjunct,[status(thm)],[i_0_1091])).
% 282.28/198.91 fof(i_0_2567, lemma, ![X4309, X4310, X4311, X4312]:(unordered_pair(X4309,X4310)!=unordered_pair(X4311,X4312)|X4309=X4311|X4309=X4312), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_zfmisc_1])])).
% 282.28/198.91 cnf(i_0_2568, plain, (~empty(singleton(X1))), inference(split_conjunct,[status(thm)],[i_0_1161])).
% 282.28/198.91 cnf(i_0_2569, plain, (~empty(singleton(X1))), inference(split_conjunct,[status(thm)],[i_0_1162])).
% 282.28/198.91 fof(i_0_2570, plain, ![X3388, X3389]:~empty(unordered_pair(X3388,X3389)), inference(variable_rename,[status(thm)],[i_0_1163])).
% 282.28/198.91 fof(i_0_2571, plain, ![X3340, X3341]:(~empty(unordered_pair(X3340,X3341))&finite(unordered_pair(X3340,X3341))), inference(variable_rename,[status(thm)],[i_0_1164])).
% 282.28/198.91 fof(i_0_2572, plain, ![X2419, X2420]:(((subset(X2419,X2420)|X2419!=X2420)&(subset(X2420,X2419)|X2419!=X2420))&(~subset(X2419,X2420)|~subset(X2420,X2419)|X2419=X2420)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])).
% 282.28/198.91 fof(i_0_2573, plain, ![X2881]:((((((reflexive(X2881)|~well_ordering(X2881)|~relation(X2881))&(transitive(X2881)|~well_ordering(X2881)|~relation(X2881)))&(antisymmetric(X2881)|~well_ordering(X2881)|~relation(X2881)))&(connected(X2881)|~well_ordering(X2881)|~relation(X2881)))&(well_founded_relation(X2881)|~well_ordering(X2881)|~relation(X2881)))&(~reflexive(X2881)|~transitive(X2881)|~antisymmetric(X2881)|~connected(X2881)|~well_founded_relation(X2881)|well_ordering(X2881)|~relation(X2881))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_wellord1])])])).
% 282.28/198.91 fof(i_0_2574, lemma, ![X4318, X4319]:(~relation(X4319)|subset(relation_rng_restriction(X4318,X4319),X4319)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t117_relat_1])])).
% 282.28/198.91 fof(i_0_2575, lemma, ![X4891, X4892]:(~relation(X4892)|subset(relation_dom_restriction(X4892,X4891),X4892)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t88_relat_1])])).
% 282.28/198.91 fof(i_0_2576, plain, ![X4685, X4686]:((~element(X4685,powerset(X4686))|subset(X4685,X4686))&(~subset(X4685,X4686)|element(X4685,powerset(X4686)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])).
% 282.28/198.91 fof(i_0_2577, lemma, ![X4706]:((ex_sup_of_relstr_set(X4706,empty_set)|(empty_carrier(X4706)|~antisymmetric_relstr(X4706)|~lower_bounded_relstr(X4706)|~rel_str(X4706)))&(ex_inf_of_relstr_set(X4706,the_carrier(X4706))|(empty_carrier(X4706)|~antisymmetric_relstr(X4706)|~lower_bounded_relstr(X4706)|~rel_str(X4706)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1165])])])).
% 282.28/198.91 cnf(i_0_2578, lemma, (X1=X2|singleton(X1)!=unordered_pair(X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1166])).
% 282.28/198.91 cnf(i_0_2579, lemma, (X2=X3|singleton(X1)!=unordered_pair(X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1167])).
% 282.28/198.91 fof(i_0_2580, plain, ![X3574]:(((element(esk202_1(X3574),powerset(the_carrier(X3574)))|~rel_str(X3574))&(directed_subset(esk202_1(X3574),X3574)|~rel_str(X3574)))&(filtered_subset(esk202_1(X3574),X3574)|~rel_str(X3574))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc1_waybel_0])])])])).
% 282.28/198.91 fof(i_0_2581, plain, ![X3138]:(~one_sorted_str(X3138)|element(cast_as_carrier_subset(X3138),powerset(the_carrier(X3138)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_pre_topc])])).
% 282.28/198.91 fof(i_0_2582, plain, ![X3110]:(~one_sorted_str(X3110)|element(empty_carrier_subset(X3110),powerset(the_carrier(X3110)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_pre_topc])])).
% 282.28/198.91 fof(i_0_2583, plain, ![X2715, X2716, X2717]:(((X2715!=empty_set|~centered(X2715))&(X2716=empty_set|~subset(X2716,X2715)|~finite(X2716)|set_meet(X2716)!=empty_set|~centered(X2715)))&((((esk69_1(X2717)!=empty_set|X2717=empty_set|centered(X2717))&(subset(esk69_1(X2717),X2717)|X2717=empty_set|centered(X2717)))&(finite(esk69_1(X2717))|X2717=empty_set|centered(X2717)))&(set_meet(esk69_1(X2717))=empty_set|X2717=empty_set|centered(X2717)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_compts_1])])])])])])).
% 282.28/198.91 fof(i_0_2584, lemma, ![X4538, X4539]:(~ordinal(X4538)|(~ordinal(X4539)|(in(X4538,X4539)|X4538=X4539|in(X4539,X4538)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1168])])])).
% 282.28/198.91 fof(i_0_2585, lemma, ![X4818, X4819]:(~subset(X4818,X4819)|~proper_subset(X4819,X4818)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t60_xboole_1])])).
% 282.28/198.91 fof(i_0_2586, plain, ![X2283, X2284]:(~proper_subset(X2283,X2284)|~proper_subset(X2284,X2283)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1169])])).
% 282.28/198.91 fof(i_0_2587, plain, ![X2281, X2282]:(~in(X2281,X2282)|~in(X2282,X2281)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1170])])).
% 282.28/198.91 fof(i_0_2588, plain, ![X2300]:(((((~empty_carrier(X2300)|(empty_carrier(X2300)|~reflexive_relstr(X2300)|~antisymmetric_relstr(X2300)|~upper_bounded_relstr(X2300)|~join_complete_relstr(X2300))|~rel_str(X2300))&(reflexive_relstr(X2300)|(empty_carrier(X2300)|~reflexive_relstr(X2300)|~antisymmetric_relstr(X2300)|~upper_bounded_relstr(X2300)|~join_complete_relstr(X2300))|~rel_str(X2300)))&(antisymmetric_relstr(X2300)|(empty_carrier(X2300)|~reflexive_relstr(X2300)|~antisymmetric_relstr(X2300)|~upper_bounded_relstr(X2300)|~join_complete_relstr(X2300))|~rel_str(X2300)))&(with_suprema_relstr(X2300)|(empty_carrier(X2300)|~reflexive_relstr(X2300)|~antisymmetric_relstr(X2300)|~upper_bounded_relstr(X2300)|~join_complete_relstr(X2300))|~rel_str(X2300)))&(upper_bounded_relstr(X2300)|(empty_carrier(X2300)|~reflexive_relstr(X2300)|~antisymmetric_relstr(X2300)|~upper_bounded_relstr(X2300)|~join_complete_relstr(X2300))|~rel_str(X2300))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1171])])])).
% 282.28/198.91 fof(i_0_2589, plain, ![X3299, X3300]:((relation(relation_dom_restriction(X3299,X3300))|(~relation(X3299)|~relation_empty_yielding(X3299)))&(relation_empty_yielding(relation_dom_restriction(X3299,X3300))|(~relation(X3299)|~relation_empty_yielding(X3299)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_relat_1])])])).
% 282.28/198.91 fof(i_0_2590, lemma, ![X4637, X4638]:(~relation(X4638)|(~well_ordering(X4638)|well_ordering(relation_restriction(X4638,X4637)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t32_wellord1])])).
% 282.28/198.91 fof(i_0_2591, lemma, ![X4625, X4626]:(~relation(X4626)|(~well_founded_relation(X4626)|well_founded_relation(relation_restriction(X4626,X4625)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t31_wellord1])])).
% 282.28/198.91 fof(i_0_2592, lemma, ![X4536, X4537]:(~relation(X4537)|(~connected(X4537)|connected(relation_restriction(X4537,X4536)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_wellord1])])).
% 282.28/198.91 fof(i_0_2593, lemma, ![X4547, X4548]:(~relation(X4548)|(~antisymmetric(X4548)|antisymmetric(relation_restriction(X4548,X4547)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_wellord1])])).
% 282.28/198.91 fof(i_0_2594, lemma, ![X4519, X4520]:(~relation(X4520)|(~reflexive(X4520)|reflexive(relation_restriction(X4520,X4519)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t22_wellord1])])).
% 282.28/198.91 fof(i_0_2595, lemma, ![X4540, X4541]:(~relation(X4541)|(~transitive(X4541)|transitive(relation_restriction(X4541,X4540)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t24_wellord1])])).
% 282.28/198.91 fof(i_0_2596, plain, ![X3182, X3183]:(~relation(X3182)|~relation(X3183)|relation(relation_composition(X3182,X3183))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relat_1])])).
% 282.28/198.91 fof(i_0_2597, plain, ![X3430, X3431]:((empty(relation_composition(X3430,X3431))|(~empty(X3430)|~relation(X3431)))&(relation(relation_composition(X3430,X3431))|(~empty(X3430)|~relation(X3431)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc9_relat_1])])])).
% 282.28/198.91 fof(i_0_2598, plain, ![X3290, X3291]:((empty(relation_composition(X3291,X3290))|(~empty(X3290)|~relation(X3291)))&(relation(relation_composition(X3291,X3290))|(~empty(X3290)|~relation(X3291)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_relat_1])])])).
% 282.28/198.91 fof(i_0_2599, plain, ![X3386, X3387]:(~relation(X3386)|~relation(X3387)|relation(set_difference(X3386,X3387))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_relat_1])])).
% 282.28/198.91 fof(i_0_2600, plain, ![X3409, X3410]:((relation(relation_rng_restriction(X3409,X3410))|(~relation(X3410)|~function(X3410)))&(function(relation_rng_restriction(X3409,X3410))|(~relation(X3410)|~function(X3410)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_funct_1])])])).
% 282.28/198.91 fof(i_0_2601, plain, ![X3399, X3400]:((relation(relation_dom_restriction(X3399,X3400))|(~relation(X3399)|~function(X3399)))&(function(relation_dom_restriction(X3399,X3400))|(~relation(X3399)|~function(X3399)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_funct_1])])])).
% 282.28/198.91 fof(i_0_2602, plain, ![X3348, X3349]:(~relation(X3348)|~relation(X3349)|relation(set_union2(X3348,X3349))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_relat_1])])).
% 282.28/198.91 fof(i_0_2603, plain, ![X3428, X3429]:(~finite(X3428)|~finite(X3429)|finite(set_union2(X3428,X3429))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc9_finset_1])])).
% 282.28/198.91 fof(i_0_2604, plain, ![X3302, X3303]:(~finite(X3302)|~finite(X3303)|finite(cartesian_product2(X3302,X3303))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc14_finset_1])])).
% 282.28/198.91 fof(i_0_2605, plain, ![X2732, X2733, X2734]:((~epsilon_transitive(X2732)|(~in(X2733,X2732)|subset(X2733,X2732)))&((in(esk72_1(X2734),X2734)|epsilon_transitive(X2734))&(~subset(esk72_1(X2734),X2734)|epsilon_transitive(X2734)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_ordinal1])])])])])])).
% 282.28/198.91 fof(i_0_2606, lemma, ![X4904]:((~well_orders(X4904,relation_field(X4904))|well_ordering(X4904)|~relation(X4904))&(~well_ordering(X4904)|well_orders(X4904,relation_field(X4904))|~relation(X4904))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_wellord1])])])).
% 282.28/198.91 fof(i_0_2607, lemma, ![X4816]:((~well_founded_relation(X4816)|is_well_founded_in(X4816,relation_field(X4816))|~relation(X4816))&(~is_well_founded_in(X4816,relation_field(X4816))|well_founded_relation(X4816)|~relation(X4816))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_wellord1])])])).
% 282.28/198.91 fof(i_0_2608, plain, ![X2538]:((~connected(X2538)|is_connected_in(X2538,relation_field(X2538))|~relation(X2538))&(~is_connected_in(X2538,relation_field(X2538))|connected(X2538)|~relation(X2538))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d14_relat_2])])])).
% 282.28/198.91 fof(i_0_2609, plain, ![X2466]:((~antisymmetric(X2466)|is_antisymmetric_in(X2466,relation_field(X2466))|~relation(X2466))&(~is_antisymmetric_in(X2466,relation_field(X2466))|antisymmetric(X2466)|~relation(X2466))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_relat_2])])])).
% 282.28/198.91 fof(i_0_2610, plain, ![X3068]:((~reflexive(X3068)|is_reflexive_in(X3068,relation_field(X3068))|~relation(X3068))&(~is_reflexive_in(X3068,relation_field(X3068))|reflexive(X3068)|~relation(X3068))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_relat_2])])])).
% 282.28/198.91 fof(i_0_2611, plain, ![X2551]:((~transitive(X2551)|is_transitive_in(X2551,relation_field(X2551))|~relation(X2551))&(~is_transitive_in(X2551,relation_field(X2551))|transitive(X2551)|~relation(X2551))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d16_relat_2])])])).
% 282.28/198.91 fof(i_0_2612, plain, ![X2336, X2337]:(~finite(X2336)|(~element(X2337,powerset(X2336))|finite(X2337))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_finset_1])])])).
% 282.28/198.91 fof(i_0_2613, plain, ![X2333, X2334]:(((((v1_membered(X2334)|~element(X2334,powerset(X2333))|~v5_membered(X2333))&(v2_membered(X2334)|~element(X2334,powerset(X2333))|~v5_membered(X2333)))&(v3_membered(X2334)|~element(X2334,powerset(X2333))|~v5_membered(X2333)))&(v4_membered(X2334)|~element(X2334,powerset(X2333))|~v5_membered(X2333)))&(v5_membered(X2334)|~element(X2334,powerset(X2333))|~v5_membered(X2333))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc20_membered])])])])).
% 282.28/198.91 fof(i_0_2614, plain, ![X2308, X2309]:((((v1_membered(X2309)|~element(X2309,powerset(X2308))|~v4_membered(X2308))&(v2_membered(X2309)|~element(X2309,powerset(X2308))|~v4_membered(X2308)))&(v3_membered(X2309)|~element(X2309,powerset(X2308))|~v4_membered(X2308)))&(v4_membered(X2309)|~element(X2309,powerset(X2308))|~v4_membered(X2308))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc19_membered])])])])).
% 282.28/198.91 fof(i_0_2615, plain, ![X2306, X2307]:(((v1_membered(X2307)|~element(X2307,powerset(X2306))|~v3_membered(X2306))&(v2_membered(X2307)|~element(X2307,powerset(X2306))|~v3_membered(X2306)))&(v3_membered(X2307)|~element(X2307,powerset(X2306))|~v3_membered(X2306))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc18_membered])])])])).
% 282.28/198.91 fof(i_0_2616, plain, ![X2304, X2305]:((v1_membered(X2305)|~element(X2305,powerset(X2304))|~v2_membered(X2304))&(v2_membered(X2305)|~element(X2305,powerset(X2304))|~v2_membered(X2304))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc17_membered])])])])).
% 282.28/198.91 fof(i_0_2617, plain, ![X2302, X2303]:(~v1_membered(X2302)|(~element(X2303,powerset(X2302))|v1_membered(X2303))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc16_membered])])])).
% 282.28/198.91 fof(i_0_2618, lemma, ![X4662, X4663]:(~in(X4663,X4662)|apply(identity_relation(X4662),X4663)=X4663), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t35_funct_1])])).
% 282.28/198.91 fof(i_0_2619, plain, ![X2409, X2410]:(~ordinal(X2409)|~ordinal(X2410)|(ordinal_subset(X2409,X2410)|ordinal_subset(X2410,X2409))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_r1_ordinal1])])).
% 282.28/198.91 fof(i_0_2620, lemma, ![X4915, X4916]:(~in(X4915,X4916)|subset(X4915,union(X4916))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t92_zfmisc_1])])).
% 282.28/198.91 fof(i_0_2621, lemma, ![X3536, X3537]:(~in(X3536,X3537)|subset(X3536,union(X3537))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l50_zfmisc_1])])).
% 282.28/198.91 fof(i_0_2622, plain, ![X3356]:((((((((~empty_carrier(poset_of_lattice(X3356))|(empty_carrier(X3356)|~lattice(X3356)|~upper_bounded_semilattstr(X3356)|~latt_str(X3356)))&(strict_rel_str(poset_of_lattice(X3356))|(empty_carrier(X3356)|~lattice(X3356)|~upper_bounded_semilattstr(X3356)|~latt_str(X3356))))&(reflexive_relstr(poset_of_lattice(X3356))|(empty_carrier(X3356)|~lattice(X3356)|~upper_bounded_semilattstr(X3356)|~latt_str(X3356))))&(transitive_relstr(poset_of_lattice(X3356))|(empty_carrier(X3356)|~lattice(X3356)|~upper_bounded_semilattstr(X3356)|~latt_str(X3356))))&(antisymmetric_relstr(poset_of_lattice(X3356))|(empty_carrier(X3356)|~lattice(X3356)|~upper_bounded_semilattstr(X3356)|~latt_str(X3356))))&(upper_bounded_relstr(poset_of_lattice(X3356))|(empty_carrier(X3356)|~lattice(X3356)|~upper_bounded_semilattstr(X3356)|~latt_str(X3356))))&(with_suprema_relstr(poset_of_lattice(X3356))|(empty_carrier(X3356)|~lattice(X3356)|~upper_bounded_semilattstr(X3356)|~latt_str(X3356))))&(with_infima_relstr(poset_of_lattice(X3356))|(empty_carrier(X3356)|~lattice(X3356)|~upper_bounded_semilattstr(X3356)|~latt_str(X3356)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1172])])])).
% 282.28/198.91 fof(i_0_2623, plain, ![X3394]:((((((((~empty_carrier(poset_of_lattice(X3394))|(empty_carrier(X3394)|~lattice(X3394)|~lower_bounded_semilattstr(X3394)|~latt_str(X3394)))&(strict_rel_str(poset_of_lattice(X3394))|(empty_carrier(X3394)|~lattice(X3394)|~lower_bounded_semilattstr(X3394)|~latt_str(X3394))))&(reflexive_relstr(poset_of_lattice(X3394))|(empty_carrier(X3394)|~lattice(X3394)|~lower_bounded_semilattstr(X3394)|~latt_str(X3394))))&(transitive_relstr(poset_of_lattice(X3394))|(empty_carrier(X3394)|~lattice(X3394)|~lower_bounded_semilattstr(X3394)|~latt_str(X3394))))&(antisymmetric_relstr(poset_of_lattice(X3394))|(empty_carrier(X3394)|~lattice(X3394)|~lower_bounded_semilattstr(X3394)|~latt_str(X3394))))&(lower_bounded_relstr(poset_of_lattice(X3394))|(empty_carrier(X3394)|~lattice(X3394)|~lower_bounded_semilattstr(X3394)|~latt_str(X3394))))&(with_suprema_relstr(poset_of_lattice(X3394))|(empty_carrier(X3394)|~lattice(X3394)|~lower_bounded_semilattstr(X3394)|~latt_str(X3394))))&(with_infima_relstr(poset_of_lattice(X3394))|(empty_carrier(X3394)|~lattice(X3394)|~lower_bounded_semilattstr(X3394)|~latt_str(X3394)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1173])])])).
% 282.28/198.91 fof(i_0_2624, plain, ![X3408]:(((((((((((~empty_carrier(poset_of_lattice(X3408))|(empty_carrier(X3408)|~lattice(X3408)|~complete_latt_str(X3408)|~latt_str(X3408)))&(strict_rel_str(poset_of_lattice(X3408))|(empty_carrier(X3408)|~lattice(X3408)|~complete_latt_str(X3408)|~latt_str(X3408))))&(reflexive_relstr(poset_of_lattice(X3408))|(empty_carrier(X3408)|~lattice(X3408)|~complete_latt_str(X3408)|~latt_str(X3408))))&(transitive_relstr(poset_of_lattice(X3408))|(empty_carrier(X3408)|~lattice(X3408)|~complete_latt_str(X3408)|~latt_str(X3408))))&(antisymmetric_relstr(poset_of_lattice(X3408))|(empty_carrier(X3408)|~lattice(X3408)|~complete_latt_str(X3408)|~latt_str(X3408))))&(lower_bounded_relstr(poset_of_lattice(X3408))|(empty_carrier(X3408)|~lattice(X3408)|~complete_latt_str(X3408)|~latt_str(X3408))))&(upper_bounded_relstr(poset_of_lattice(X3408))|(empty_carrier(X3408)|~lattice(X3408)|~complete_latt_str(X3408)|~latt_str(X3408))))&(bounded_relstr(poset_of_lattice(X3408))|(empty_carrier(X3408)|~lattice(X3408)|~complete_latt_str(X3408)|~latt_str(X3408))))&(with_suprema_relstr(poset_of_lattice(X3408))|(empty_carrier(X3408)|~lattice(X3408)|~complete_latt_str(X3408)|~latt_str(X3408))))&(with_infima_relstr(poset_of_lattice(X3408))|(empty_carrier(X3408)|~lattice(X3408)|~complete_latt_str(X3408)|~latt_str(X3408))))&(complete_relstr(poset_of_lattice(X3408))|(empty_carrier(X3408)|~lattice(X3408)|~complete_latt_str(X3408)|~latt_str(X3408)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1174])])])).
% 282.28/198.91 fof(i_0_2625, lemma, ![X4769]:(((((~empty_carrier(X4769)|(empty_carrier(X4769)|~lattice(X4769)|~complete_latt_str(X4769)|~latt_str(X4769)))&(lattice(X4769)|(empty_carrier(X4769)|~lattice(X4769)|~complete_latt_str(X4769)|~latt_str(X4769))))&(lower_bounded_semilattstr(X4769)|(empty_carrier(X4769)|~lattice(X4769)|~complete_latt_str(X4769)|~latt_str(X4769))))&(latt_str(X4769)|(empty_carrier(X4769)|~lattice(X4769)|~complete_latt_str(X4769)|~latt_str(X4769))))&(bottom_of_semilattstr(X4769)=join_of_latt_set(X4769,empty_set)|(empty_carrier(X4769)|~lattice(X4769)|~complete_latt_str(X4769)|~latt_str(X4769)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1175])])])).
% 282.28/198.91 cnf(i_0_2626, lemma, (subset(X1,singleton(X2))|X1!=empty_set), inference(split_conjunct,[status(thm)],[i_0_1121])).
% 282.28/198.91 cnf(i_0_2627, lemma, (subset(X1,singleton(X2))|X1!=empty_set), inference(split_conjunct,[status(thm)],[i_0_1122])).
% 282.28/198.91 cnf(i_0_2628, plain, (in(X1,X3)|X1!=X2|X3!=singleton(X2)), inference(split_conjunct,[status(thm)],[i_0_1091])).
% 282.28/198.91 fof(i_0_2629, plain, ![X3596]:(element(esk218_1(X3596),powerset(X3596))&~proper_element(esk218_1(X3596),powerset(X3596))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1176])])).
% 282.28/198.91 fof(i_0_2630, lemma, ![X4551]:(~relation(X4551)|~function(X4551)|(~finite(relation_dom(X4551))|finite(relation_rng(X4551)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t26_finset_1])])).
% 282.28/198.91 fof(i_0_2631, plain, ![X2277]:(~rel_str(X2277)|(~strict_rel_str(X2277)|X2277=rel_str_of(the_carrier(X2277),the_InternalRel(X2277)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v1_orders_2])])).
% 282.28/198.91 fof(i_0_2632, plain, ![X2745, X2746]:(((~element(X2746,X2745)|in(X2746,X2745)|empty(X2745))&(~in(X2746,X2745)|element(X2746,X2745)|empty(X2745)))&((~element(X2746,X2745)|empty(X2746)|~empty(X2745))&(~empty(X2746)|element(X2746,X2745)|~empty(X2745)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1177])])])).
% 282.28/198.91 fof(i_0_2633, plain, ![X4590, X4591]:(~element(X4590,X4591)|(empty(X4591)|in(X4590,X4591))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
% 282.28/198.91 fof(i_0_2634, lemma, ![X4917, X4918]:(~relation(X4918)|relation_dom_restriction(X4918,X4917)=relation_composition(identity_relation(X4917),X4918)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t94_relat_1])])).
% 282.28/198.91 cnf(i_0_2635, lemma, (relation(esk258_1(X1))|esk257_1(X1)=singleton(esk255_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.91 cnf(i_0_2636, lemma, (function(esk258_1(X1))|esk257_1(X1)=singleton(esk255_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.91 cnf(i_0_2637, lemma, (relation(esk258_1(X1))|esk256_1(X1)=singleton(esk255_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.91 cnf(i_0_2638, lemma, (function(esk258_1(X1))|esk256_1(X1)=singleton(esk255_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1002])).
% 282.28/198.91 cnf(i_0_2639, plain, (set_intersection2(X1,X1)=X1), inference(split_conjunct,[status(thm)],[i_0_1178])).
% 282.28/198.91 cnf(i_0_2640, plain, (empty(X1)|~trivial_carrier(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2641, plain, (empty(X1)|~v1_yellow_3(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2642, plain, (empty(X1)|~empty_carrier(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 fof(i_0_2643, lemma, ![X4664, X4665]:subset(set_difference(X4664,X4665),X4664), inference(variable_rename,[status(thm)],[t36_xboole_1])).
% 282.28/198.91 fof(i_0_2644, lemma, ![X4884, X4885]:subset(X4884,set_union2(X4884,X4885)), inference(variable_rename,[status(thm)],[t7_xboole_1])).
% 282.28/198.91 fof(i_0_2645, plain, ![X3043, X3044]:(((subset(X3043,X3044)|~proper_subset(X3043,X3044))&(X3043!=X3044|~proper_subset(X3043,X3044)))&(~subset(X3043,X3044)|X3043=X3044|proper_subset(X3043,X3044))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_xboole_0])])])).
% 282.28/198.91 fof(i_0_2646, plain, ![X3603]:((element(esk222_1(X3603),powerset(powerset(X3603)))&~empty(esk222_1(X3603)))&finite(esk222_1(X3603))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1180])])).
% 282.28/198.91 cnf(i_0_2647, plain, (element(k1_pcomps_1(X1),powerset(powerset(X1)))), inference(split_conjunct,[status(thm)],[i_0_1181])).
% 282.28/198.91 cnf(i_0_2648, plain, (k1_pcomps_1(X1)=powerset(X1)), inference(split_conjunct,[status(thm)],[i_0_1182])).
% 282.28/198.91 fof(i_0_2649, plain, ![X3177]:(empty_carrier(X3177)|~meet_semilatt_str(X3177)|element(bottom_of_semilattstr(X3177),the_carrier(X3177))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1183])])).
% 282.28/198.91 fof(i_0_2650, lemma, ![X4886, X4887]:((~disjoint(X4886,X4887)|set_difference(X4886,X4887)=X4886)&(set_difference(X4886,X4887)!=X4886|disjoint(X4886,X4887))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t83_xboole_1])])).
% 282.28/198.91 fof(i_0_2651, lemma, ![X4348, X4349]:(~subset(X4348,X4349)|set_union2(X4348,X4349)=X4349), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_xboole_1])])).
% 282.28/198.91 fof(i_0_2652, plain, ![X2378]:((~empty_carrier(X2378)|(empty_carrier(X2378)|~distributive_lattstr(X2378)|~bounded_lattstr(X2378)|~complemented_lattstr(X2378))|~latt_str(X2378))&(boolean_lattstr(X2378)|(empty_carrier(X2378)|~distributive_lattstr(X2378)|~bounded_lattstr(X2378)|~complemented_lattstr(X2378))|~latt_str(X2378))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1184])])])).
% 282.28/198.91 fof(i_0_2653, plain, ![X2297]:((((~empty_carrier(X2297)|(empty_carrier(X2297)|~reflexive_relstr(X2297)|~antisymmetric_relstr(X2297)|~join_complete_relstr(X2297))|~rel_str(X2297))&(reflexive_relstr(X2297)|(empty_carrier(X2297)|~reflexive_relstr(X2297)|~antisymmetric_relstr(X2297)|~join_complete_relstr(X2297))|~rel_str(X2297)))&(antisymmetric_relstr(X2297)|(empty_carrier(X2297)|~reflexive_relstr(X2297)|~antisymmetric_relstr(X2297)|~join_complete_relstr(X2297))|~rel_str(X2297)))&(with_infima_relstr(X2297)|(empty_carrier(X2297)|~reflexive_relstr(X2297)|~antisymmetric_relstr(X2297)|~join_complete_relstr(X2297))|~rel_str(X2297))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1185])])])).
% 282.28/198.91 fof(i_0_2654, plain, ![X2944]:(~relation(X2944)|relation_field(X2944)=set_union2(relation_dom(X2944),relation_rng(X2944))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_relat_1])])).
% 282.28/198.91 fof(i_0_2655, plain, ![X3143, X3144]:(~relation(X3143)|relation(relation_restriction(X3143,X3144))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_wellord1])])).
% 282.28/198.91 fof(i_0_2656, plain, ![X3227, X3228]:(~relation(X3228)|relation(relation_rng_restriction(X3227,X3228))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])])).
% 282.28/198.91 fof(i_0_2657, plain, ![X3213, X3214]:(~relation(X3213)|relation(relation_dom_restriction(X3213,X3214))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_relat_1])])).
% 282.28/198.91 fof(i_0_2658, plain, ![X3295, X3296]:(~finite(X3295)|finite(set_difference(X3295,X3296))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc12_finset_1])])).
% 282.28/198.91 fof(i_0_2659, plain, ![X3397, X3398]:(((((v1_membered(set_difference(X3397,X3398))|~v5_membered(X3397))&(v2_membered(set_difference(X3397,X3398))|~v5_membered(X3397)))&(v3_membered(set_difference(X3397,X3398))|~v5_membered(X3397)))&(v4_membered(set_difference(X3397,X3398))|~v5_membered(X3397)))&(v5_membered(set_difference(X3397,X3398))|~v5_membered(X3397))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc41_membered])])])).
% 282.28/198.91 fof(i_0_2660, plain, ![X3395, X3396]:((((v1_membered(set_difference(X3395,X3396))|~v4_membered(X3395))&(v2_membered(set_difference(X3395,X3396))|~v4_membered(X3395)))&(v3_membered(set_difference(X3395,X3396))|~v4_membered(X3395)))&(v4_membered(set_difference(X3395,X3396))|~v4_membered(X3395))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc40_membered])])])).
% 282.28/198.91 fof(i_0_2661, plain, ![X3375, X3376]:(((v1_membered(set_difference(X3375,X3376))|~v3_membered(X3375))&(v2_membered(set_difference(X3375,X3376))|~v3_membered(X3375)))&(v3_membered(set_difference(X3375,X3376))|~v3_membered(X3375))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc39_membered])])])).
% 282.28/198.91 fof(i_0_2662, plain, ![X3373, X3374]:((v1_membered(set_difference(X3373,X3374))|~v2_membered(X3373))&(v2_membered(set_difference(X3373,X3374))|~v2_membered(X3373))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc38_membered])])])).
% 282.28/198.91 fof(i_0_2663, plain, ![X3371, X3372]:(~v1_membered(X3371)|v1_membered(set_difference(X3371,X3372))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc37_membered])])).
% 282.28/198.91 cnf(i_0_2664, plain, (set_intersection2(X1,empty_set)=empty_set), inference(split_conjunct,[status(thm)],[i_0_1186])).
% 282.28/198.91 fof(i_0_2665, plain, ![X3728, X3729]:((~equipotent(X3728,X3729)|are_equipotent(X3728,X3729))&(~are_equipotent(X3728,X3729)|equipotent(X3728,X3729))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_wellord2])])).
% 282.28/198.91 fof(i_0_2666, plain, ![X4300, X4301]:(~equipotent(X4300,X4301)|equipotent(X4301,X4300)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r2_wellord2])])).
% 282.28/198.91 fof(i_0_2667, plain, ![X4298, X4299]:(~disjoint(X4298,X4299)|disjoint(X4299,X4298)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r1_xboole_0])])).
% 282.28/198.91 fof(i_0_2668, plain, ![X4462, X4463]:(~in(X4462,X4463)|element(X4462,X4463)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
% 282.28/198.91 fof(i_0_2669, lemma, ![X4667, X4668]:((set_difference(X4667,X4668)!=empty_set|subset(X4667,X4668))&(~subset(X4667,X4668)|set_difference(X4667,X4668)=empty_set)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_xboole_1])])).
% 282.28/198.91 fof(i_0_2670, lemma, ![X3513, X3514]:((set_difference(X3513,X3514)!=empty_set|subset(X3513,X3514))&(~subset(X3513,X3514)|set_difference(X3513,X3514)=empty_set)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l32_xboole_1])])).
% 282.28/198.91 cnf(i_0_2671, plain, (incl_POSet(X1)=rel_str_of(X1,inclusion_order(X1))), inference(split_conjunct,[status(thm)],[i_0_1187])).
% 282.28/198.91 fof(i_0_2672, lemma, ![X4796]:((relation_rng(X4796)=relation_dom(function_inverse(X4796))|~one_to_one(X4796)|(~relation(X4796)|~function(X4796)))&(relation_dom(X4796)=relation_rng(function_inverse(X4796))|~one_to_one(X4796)|(~relation(X4796)|~function(X4796)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t55_funct_1])])])).
% 282.28/198.91 fof(i_0_2673, plain, ![X2386]:((((~empty_carrier(X2386)|(~reflexive_relstr(X2386)|~with_suprema_relstr(X2386)|~up_complete_relstr(X2386))|~rel_str(X2386))&(reflexive_relstr(X2386)|(~reflexive_relstr(X2386)|~with_suprema_relstr(X2386)|~up_complete_relstr(X2386))|~rel_str(X2386)))&(with_suprema_relstr(X2386)|(~reflexive_relstr(X2386)|~with_suprema_relstr(X2386)|~up_complete_relstr(X2386))|~rel_str(X2386)))&(upper_bounded_relstr(X2386)|(~reflexive_relstr(X2386)|~with_suprema_relstr(X2386)|~up_complete_relstr(X2386))|~rel_str(X2386))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1188])])])).
% 282.28/198.91 cnf(i_0_2674, plain, (~v1_yellow_3(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2675, plain, (~v1_yellow_3(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2676, plain, (~empty_carrier(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2677, plain, (~empty_carrier(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2678, plain, (~empty_carrier(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1192])).
% 282.28/198.91 cnf(i_0_2679, plain, (~empty_carrier(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1193])).
% 282.28/198.91 cnf(i_0_2680, plain, (~empty_carrier(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2681, plain, (~empty_carrier(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 282.28/198.91 fof(i_0_2682, plain, ![X3402]:(((((~empty_carrier(poset_of_lattice(X3402))|(empty_carrier(X3402)|~lattice(X3402)|~latt_str(X3402)))&(strict_rel_str(poset_of_lattice(X3402))|(empty_carrier(X3402)|~lattice(X3402)|~latt_str(X3402))))&(reflexive_relstr(poset_of_lattice(X3402))|(empty_carrier(X3402)|~lattice(X3402)|~latt_str(X3402))))&(transitive_relstr(poset_of_lattice(X3402))|(empty_carrier(X3402)|~lattice(X3402)|~latt_str(X3402))))&(antisymmetric_relstr(poset_of_lattice(X3402))|(empty_carrier(X3402)|~lattice(X3402)|~latt_str(X3402)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1195])])])).
% 282.28/198.91 fof(i_0_2683, plain, ![X3327]:(((((((~empty_carrier(poset_of_lattice(X3327))|(empty_carrier(X3327)|~lattice(X3327)|~latt_str(X3327)))&(strict_rel_str(poset_of_lattice(X3327))|(empty_carrier(X3327)|~lattice(X3327)|~latt_str(X3327))))&(reflexive_relstr(poset_of_lattice(X3327))|(empty_carrier(X3327)|~lattice(X3327)|~latt_str(X3327))))&(transitive_relstr(poset_of_lattice(X3327))|(empty_carrier(X3327)|~lattice(X3327)|~latt_str(X3327))))&(antisymmetric_relstr(poset_of_lattice(X3327))|(empty_carrier(X3327)|~lattice(X3327)|~latt_str(X3327))))&(with_suprema_relstr(poset_of_lattice(X3327))|(empty_carrier(X3327)|~lattice(X3327)|~latt_str(X3327))))&(with_infima_relstr(poset_of_lattice(X3327))|(empty_carrier(X3327)|~lattice(X3327)|~latt_str(X3327)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1196])])])).
% 282.28/198.91 fof(i_0_2684, plain, ![X3651, X3652]:(~relation(X3651)|relation_restriction_as_relation_of(X3651,X3652)=relation_restriction(X3651,X3652)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_toler_1])])).
% 282.28/198.91 fof(i_0_2685, plain, ![X3412]:(~topological_space(X3412)|~top_str(X3412)|closed_subset(cast_as_carrier_subset(X3412),X3412)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_pre_topc])])).
% 282.28/198.91 fof(i_0_2686, plain, ![X4958, X4959]:(((((~reflexive(X4958)|reflexive(X4959)|~epred3_2(X4959,X4958))&(~transitive(X4958)|transitive(X4959)|~epred3_2(X4959,X4958)))&(~connected(X4958)|connected(X4959)|~epred3_2(X4959,X4958)))&(~antisymmetric(X4958)|antisymmetric(X4959)|~epred3_2(X4959,X4958)))&(~well_founded_relation(X4958)|well_founded_relation(X4959)|~epred3_2(X4959,X4958))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1197])])])).
% 282.28/198.91 fof(i_0_2687, lemma, ![X4359, X4360]:(~subset(X4359,X4360)|~finite(X4360)|finite(X4359)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t13_finset_1])])).
% 282.28/198.91 fof(i_0_2688, plain, ![X2310, X2311]:(((epsilon_transitive(X2311)|~element(X2311,X2310)|~ordinal(X2310))&(epsilon_connected(X2311)|~element(X2311,X2310)|~ordinal(X2310)))&(ordinal(X2311)|~element(X2311,X2310)|~ordinal(X2310))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_arytm_3])])])])).
% 282.28/198.91 fof(i_0_2689, lemma, ![X4527, X4528]:(~ordinal(X4528)|(~in(X4527,X4528)|ordinal(X4527))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_ordinal1])])).
% 282.28/198.91 fof(i_0_2690, plain, ![X2298, X2299]:(((((v1_xcmplx_0(X2299)|~element(X2299,X2298)|~v5_membered(X2298))&(natural(X2299)|~element(X2299,X2298)|~v5_membered(X2298)))&(v1_xreal_0(X2299)|~element(X2299,X2298)|~v5_membered(X2298)))&(v1_int_1(X2299)|~element(X2299,X2298)|~v5_membered(X2298)))&(v1_rat_1(X2299)|~element(X2299,X2298)|~v5_membered(X2298))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc14_membered])])])])).
% 282.28/198.91 fof(i_0_2691, plain, ![X2295, X2296]:((((v1_xcmplx_0(X2296)|~element(X2296,X2295)|~v4_membered(X2295))&(v1_xreal_0(X2296)|~element(X2296,X2295)|~v4_membered(X2295)))&(v1_int_1(X2296)|~element(X2296,X2295)|~v4_membered(X2295)))&(v1_rat_1(X2296)|~element(X2296,X2295)|~v4_membered(X2295))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc13_membered])])])])).
% 282.28/198.91 fof(i_0_2692, plain, ![X2292, X2293]:(((v1_xcmplx_0(X2293)|~element(X2293,X2292)|~v3_membered(X2292))&(v1_xreal_0(X2293)|~element(X2293,X2292)|~v3_membered(X2292)))&(v1_rat_1(X2293)|~element(X2293,X2292)|~v3_membered(X2292))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc12_membered])])])])).
% 282.28/198.91 fof(i_0_2693, plain, ![X2289, X2290]:((v1_xcmplx_0(X2290)|~element(X2290,X2289)|~v2_membered(X2289))&(v1_xreal_0(X2290)|~element(X2290,X2289)|~v2_membered(X2289))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc11_membered])])])])).
% 282.28/198.91 fof(i_0_2694, plain, ![X2285, X2286]:(~v1_membered(X2285)|(~element(X2286,X2285)|v1_xcmplx_0(X2286))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc10_membered])])])).
% 282.28/198.91 fof(i_0_2695, plain, ![X3237, X3238]:(~one_sorted_str(X3237)|(~net_str(X3238,X3237)|rel_str(X3238))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_waybel_0])])])).
% 282.28/198.91 fof(i_0_2696, plain, ![X3244, X3245]:(~rel_str(X3244)|(~subrelstr(X3245,X3244)|rel_str(X3245))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_0])])])).
% 282.28/198.91 fof(i_0_2697, plain, ![X3157]:(~rel_str(X3157)|element(bottom_of_relstr(X3157),the_carrier(X3157))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_yellow_0])])).
% 282.28/198.91 fof(i_0_2698, lemma, ![X4832]:(~relation(X4832)|~function(X4832)|(~one_to_one(X4832)|one_to_one(function_inverse(X4832)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t62_funct_1])])).
% 282.28/198.91 fof(i_0_2699, plain, ![X3377]:((relation(relation_inverse(X3377))|(~relation(X3377)|~function(X3377)|~one_to_one(X3377)))&(function(relation_inverse(X3377))|(~relation(X3377)|~function(X3377)|~one_to_one(X3377)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_funct_1])])])).
% 282.28/198.91 fof(i_0_2700, lemma, ![X4379]:(~relation(X4379)|relation_image(X4379,relation_dom(X4379))=relation_rng(X4379)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t146_relat_1])])).
% 282.28/198.91 fof(i_0_2701, plain, ![X3618]:(((element(esk233_1(X3618),powerset(X3618))|empty(X3618))&(~empty(esk233_1(X3618))|empty(X3618)))&(finite(esk233_1(X3618))|empty(X3618))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1198])])])])).
% 282.28/198.91 fof(i_0_2702, plain, ![X3607]:(((element(esk225_1(X3607),powerset(X3607))|empty(X3607))&(~empty(esk225_1(X3607))|empty(X3607)))&(finite(esk225_1(X3607))|empty(X3607))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1199])])])])).
% 282.28/198.91 fof(i_0_2703, plain, ![X3570]:((element(esk200_1(X3570),powerset(X3570))|empty(X3570))&(~empty(esk200_1(X3570))|empty(X3570))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1200])])])])).
% 282.28/198.91 fof(i_0_2704, plain, ![X2381]:(((((((((~empty_carrier(X2381)|(empty_carrier(X2381)|~lattice(X2381)|~distributive_lattstr(X2381))|~latt_str(X2381))&(join_commutative(X2381)|(empty_carrier(X2381)|~lattice(X2381)|~distributive_lattstr(X2381))|~latt_str(X2381)))&(join_associative(X2381)|(empty_carrier(X2381)|~lattice(X2381)|~distributive_lattstr(X2381))|~latt_str(X2381)))&(meet_commutative(X2381)|(empty_carrier(X2381)|~lattice(X2381)|~distributive_lattstr(X2381))|~latt_str(X2381)))&(meet_associative(X2381)|(empty_carrier(X2381)|~lattice(X2381)|~distributive_lattstr(X2381))|~latt_str(X2381)))&(meet_absorbing(X2381)|(empty_carrier(X2381)|~lattice(X2381)|~distributive_lattstr(X2381))|~latt_str(X2381)))&(join_absorbing(X2381)|(empty_carrier(X2381)|~lattice(X2381)|~distributive_lattstr(X2381))|~latt_str(X2381)))&(lattice(X2381)|(empty_carrier(X2381)|~lattice(X2381)|~distributive_lattstr(X2381))|~latt_str(X2381)))&(modular_lattstr(X2381)|(empty_carrier(X2381)|~lattice(X2381)|~distributive_lattstr(X2381))|~latt_str(X2381))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1201])])])).
% 282.28/198.91 fof(i_0_2705, plain, ![X2364]:((((~empty_carrier(X2364)|(empty_carrier(X2364)|~reflexive_relstr(X2364)|~v3_waybel_3(X2364))|~rel_str(X2364))&(reflexive_relstr(X2364)|(empty_carrier(X2364)|~reflexive_relstr(X2364)|~v3_waybel_3(X2364))|~rel_str(X2364)))&(up_complete_relstr(X2364)|(empty_carrier(X2364)|~reflexive_relstr(X2364)|~v3_waybel_3(X2364))|~rel_str(X2364)))&(v2_waybel_3(X2364)|(empty_carrier(X2364)|~reflexive_relstr(X2364)|~v3_waybel_3(X2364))|~rel_str(X2364))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1202])])])).
% 282.28/198.91 fof(i_0_2706, plain, ![X2357]:(((~empty_carrier(X2357)|(empty_carrier(X2357)|~trivial_carrier(X2357)|~reflexive_relstr(X2357))|~rel_str(X2357))&(reflexive_relstr(X2357)|(empty_carrier(X2357)|~trivial_carrier(X2357)|~reflexive_relstr(X2357))|~rel_str(X2357)))&(v2_waybel_3(X2357)|(empty_carrier(X2357)|~trivial_carrier(X2357)|~reflexive_relstr(X2357))|~rel_str(X2357))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1203])])])).
% 282.28/198.91 fof(i_0_2707, plain, ![X2371]:(((~empty_carrier(X2371)|(empty_carrier(X2371)|~reflexive_relstr(X2371)|~trivial_carrier(X2371))|~rel_str(X2371))&(reflexive_relstr(X2371)|(empty_carrier(X2371)|~reflexive_relstr(X2371)|~trivial_carrier(X2371))|~rel_str(X2371)))&(connected_relstr(X2371)|(empty_carrier(X2371)|~reflexive_relstr(X2371)|~trivial_carrier(X2371))|~rel_str(X2371))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1204])])])).
% 282.28/198.91 fof(i_0_2708, plain, ![X2354]:((~empty_carrier(X2354)|(empty_carrier(X2354)|~lower_bounded_semilattstr(X2354)|~upper_bounded_semilattstr(X2354))|~latt_str(X2354))&(bounded_lattstr(X2354)|(empty_carrier(X2354)|~lower_bounded_semilattstr(X2354)|~upper_bounded_semilattstr(X2354))|~latt_str(X2354))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1205])])])).
% 282.28/198.91 fof(i_0_2709, plain, ![X2318]:(((((((((((~empty_carrier(X2318)|(empty_carrier(X2318)|~lattice(X2318)|~complete_latt_str(X2318))|~latt_str(X2318))&(join_commutative(X2318)|(empty_carrier(X2318)|~lattice(X2318)|~complete_latt_str(X2318))|~latt_str(X2318)))&(join_associative(X2318)|(empty_carrier(X2318)|~lattice(X2318)|~complete_latt_str(X2318))|~latt_str(X2318)))&(meet_commutative(X2318)|(empty_carrier(X2318)|~lattice(X2318)|~complete_latt_str(X2318))|~latt_str(X2318)))&(meet_associative(X2318)|(empty_carrier(X2318)|~lattice(X2318)|~complete_latt_str(X2318))|~latt_str(X2318)))&(meet_absorbing(X2318)|(empty_carrier(X2318)|~lattice(X2318)|~complete_latt_str(X2318))|~latt_str(X2318)))&(join_absorbing(X2318)|(empty_carrier(X2318)|~lattice(X2318)|~complete_latt_str(X2318))|~latt_str(X2318)))&(lattice(X2318)|(empty_carrier(X2318)|~lattice(X2318)|~complete_latt_str(X2318))|~latt_str(X2318)))&(lower_bounded_semilattstr(X2318)|(empty_carrier(X2318)|~lattice(X2318)|~complete_latt_str(X2318))|~latt_str(X2318)))&(upper_bounded_semilattstr(X2318)|(empty_carrier(X2318)|~lattice(X2318)|~complete_latt_str(X2318))|~latt_str(X2318)))&(bounded_lattstr(X2318)|(empty_carrier(X2318)|~lattice(X2318)|~complete_latt_str(X2318))|~latt_str(X2318))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1206])])])).
% 282.28/198.91 fof(i_0_2710, plain, ![X2291]:(((~empty_carrier(X2291)|(empty_carrier(X2291)|~reflexive_relstr(X2291)|~join_complete_relstr(X2291))|~rel_str(X2291))&(reflexive_relstr(X2291)|(empty_carrier(X2291)|~reflexive_relstr(X2291)|~join_complete_relstr(X2291))|~rel_str(X2291)))&(lower_bounded_relstr(X2291)|(empty_carrier(X2291)|~reflexive_relstr(X2291)|~join_complete_relstr(X2291))|~rel_str(X2291))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1207])])])).
% 282.28/198.91 fof(i_0_2711, plain, ![X2348]:(((((~empty_carrier(X2348)|(empty_carrier(X2348)|~reflexive_relstr(X2348)|~trivial_carrier(X2348))|~rel_str(X2348))&(reflexive_relstr(X2348)|(empty_carrier(X2348)|~reflexive_relstr(X2348)|~trivial_carrier(X2348))|~rel_str(X2348)))&(transitive_relstr(X2348)|(empty_carrier(X2348)|~reflexive_relstr(X2348)|~trivial_carrier(X2348))|~rel_str(X2348)))&(antisymmetric_relstr(X2348)|(empty_carrier(X2348)|~reflexive_relstr(X2348)|~trivial_carrier(X2348))|~rel_str(X2348)))&(complete_relstr(X2348)|(empty_carrier(X2348)|~reflexive_relstr(X2348)|~trivial_carrier(X2348))|~rel_str(X2348))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1208])])])).
% 282.28/198.91 fof(i_0_2712, plain, ![X2287]:((((~empty_carrier(X2287)|(empty_carrier(X2287)|~reflexive_relstr(X2287)|~complete_relstr(X2287))|~rel_str(X2287))&(reflexive_relstr(X2287)|(empty_carrier(X2287)|~reflexive_relstr(X2287)|~complete_relstr(X2287))|~rel_str(X2287)))&(up_complete_relstr(X2287)|(empty_carrier(X2287)|~reflexive_relstr(X2287)|~complete_relstr(X2287))|~rel_str(X2287)))&(join_complete_relstr(X2287)|(empty_carrier(X2287)|~reflexive_relstr(X2287)|~complete_relstr(X2287))|~rel_str(X2287))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1209])])])).
% 282.28/198.91 cnf(i_0_2713, plain, (relation_field(X1)=X2|X1!=inclusion_relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_931])).
% 282.28/198.91 cnf(i_0_2714, plain, (finite(singleton(X1))), inference(split_conjunct,[status(thm)],[i_0_1162])).
% 282.28/198.91 cnf(i_0_2715, lemma, (well_ordering(inclusion_relation(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1210])).
% 282.28/198.91 cnf(i_0_2716, lemma, (well_founded_relation(inclusion_relation(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1211])).
% 282.28/198.91 cnf(i_0_2717, lemma, (connected(inclusion_relation(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1212])).
% 282.28/198.91 fof(i_0_2718, plain, ![X4872, X4873]:(~in(X4872,X4873)|~empty(X4873)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])).
% 282.28/198.91 fof(i_0_2719, plain, ![X3059]:(~relation(X3059)|~function(X3059)|(~one_to_one(X3059)|function_inverse(X3059)=relation_inverse(X3059))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_funct_1])])).
% 282.28/198.91 fof(i_0_2720, plain, ![X3233]:(empty_carrier(X3233)|~lattice(X3233)|~latt_str(X3233)|relation(relation_of_lattice(X3233))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1213])])).
% 282.28/198.91 fof(i_0_2721, plain, ![X3148]:(((((strict_rel_str(poset_of_lattice(X3148))|(empty_carrier(X3148)|~lattice(X3148)|~latt_str(X3148)))&(reflexive_relstr(poset_of_lattice(X3148))|(empty_carrier(X3148)|~lattice(X3148)|~latt_str(X3148))))&(transitive_relstr(poset_of_lattice(X3148))|(empty_carrier(X3148)|~lattice(X3148)|~latt_str(X3148))))&(antisymmetric_relstr(poset_of_lattice(X3148))|(empty_carrier(X3148)|~lattice(X3148)|~latt_str(X3148))))&(rel_str(poset_of_lattice(X3148))|(empty_carrier(X3148)|~lattice(X3148)|~latt_str(X3148)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1214])])])).
% 282.28/198.91 fof(i_0_2722, plain, ![X3736, X3737]:(~ordinal(X3736)|~ordinal(X3737)|ordinal_subset(X3736,X3736)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_r1_ordinal1])])).
% 282.28/198.91 fof(i_0_2723, plain, ![X3301]:((~empty(the_InternalRel(X3301))|(v1_yellow_3(X3301)|~rel_str(X3301)))&(relation(the_InternalRel(X3301))|(v1_yellow_3(X3301)|~rel_str(X3301)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1215])])])).
% 282.28/198.91 fof(i_0_2724, plain, ![X3415]:(empty(X3415)|~relation(X3415)|~empty(relation_rng(X3415))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1216])])).
% 282.28/198.91 fof(i_0_2725, plain, ![X3413]:(empty(X3413)|~relation(X3413)|~empty(relation_dom(X3413))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1217])])).
% 282.28/198.91 fof(i_0_2726, plain, ![X3347]:(empty_carrier(X3347)|~one_sorted_str(X3347)|~empty(cast_as_carrier_subset(X3347))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1218])])).
% 282.28/198.91 fof(i_0_2727, plain, ![X3321]:(empty_carrier(X3321)|~one_sorted_str(X3321)|~empty(the_carrier(X3321))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1219])])).
% 282.28/198.91 fof(i_0_2728, plain, ![X2654]:((~empty_carrier(X2654)|empty(the_carrier(X2654))|~one_sorted_str(X2654))&(~empty(the_carrier(X2654))|empty_carrier(X2654)|~one_sorted_str(X2654))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_struct_0])])])).
% 282.28/198.91 fof(i_0_2729, plain, ![X2393, X2394]:set_union2(X2393,X2394)=set_union2(X2394,X2393), inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0])).
% 282.28/198.91 fof(i_0_2730, plain, ![X2391, X2392]:unordered_pair(X2391,X2392)=unordered_pair(X2392,X2391), inference(variable_rename,[status(thm)],[commutativity_k2_tarski])).
% 282.28/198.91 fof(i_0_2731, plain, ![X3277]:(~rel_str(X3277)|subrelstr(esk162_1(X3277),X3277)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[existence_m1_yellow_0])])])).
% 282.28/198.91 fof(i_0_2732, plain, ![X3621]:((net_str(esk235_1(X3621),X3621)|~one_sorted_str(X3621))&(strict_net_str(esk235_1(X3621),X3621)|~one_sorted_str(X3621))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc4_waybel_0])])])])).
% 282.28/198.91 fof(i_0_2733, plain, ![X3265]:(~one_sorted_str(X3265)|net_str(esk156_1(X3265),X3265)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[existence_l1_waybel_0])])])).
% 282.28/198.91 cnf(i_0_2734, plain, (complemented_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2735, plain, (bounded_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2736, plain, (lower_bounded_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2737, plain, (heyting_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2738, plain, (distributive_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2739, plain, (upper_bounded_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2740, plain, (with_infima_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2741, plain, (with_suprema_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2742, plain, (antisymmetric_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2743, plain, (transitive_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2744, plain, (boolean_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2745, plain, (join_complete_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2746, plain, (up_complete_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2747, plain, (complete_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2748, plain, (reflexive_relstr(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 cnf(i_0_2749, plain, (strict_rel_str(boole_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 282.28/198.91 fof(i_0_2750, plain, ![X2995]:(empty_carrier(X2995)|~lattice(X2995)|~latt_str(X2995)|relation_of_lattice(X2995)=a_1_0_filter_1(X2995)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1220])])).
% 282.28/198.91 fof(i_0_2751, plain, ![X3664]:(empty_carrier(X3664)|~lattice(X3664)|~latt_str(X3664)|k2_lattice3(X3664)=relation_of_lattice(X3664)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1221])])).
% 282.28/198.91 fof(i_0_2752, plain, ![X3594]:(element(esk217_1(X3594),powerset(X3594))&empty(esk217_1(X3594))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])])).
% 282.28/198.91 fof(i_0_2753, plain, ![X3582]:(((((((((element(esk209_1(X3582),powerset(X3582))&empty(esk209_1(X3582)))&relation(esk209_1(X3582)))&function(esk209_1(X3582)))&one_to_one(esk209_1(X3582)))&epsilon_transitive(esk209_1(X3582)))&epsilon_connected(esk209_1(X3582)))&ordinal(esk209_1(X3582)))&natural(esk209_1(X3582)))&finite(esk209_1(X3582))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_finset_1])])).
% 282.28/198.91 cnf(i_0_2754, lemma, (the_carrier(boole_POSet(X1))=powerset(X1)), inference(split_conjunct,[status(thm)],[i_0_1222])).
% 282.28/198.91 fof(i_0_2755, plain, ![X2339]:(((relation(X2339)|(~relation(X2339)|~empty(X2339)|~function(X2339)))&(function(X2339)|(~relation(X2339)|~empty(X2339)|~function(X2339))))&(one_to_one(X2339)|(~relation(X2339)|~empty(X2339)|~function(X2339)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_funct_1])])])).
% 282.28/198.91 fof(i_0_2756, plain, ![X2323]:((relation(X2323)|(~relation(X2323)|~symmetric(X2323)|~transitive(X2323)))&(reflexive(X2323)|(~relation(X2323)|~symmetric(X2323)|~transitive(X2323)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_partfun1])])])).
% 282.28/198.91 fof(i_0_2757, plain, ![X2374]:(~rel_str(X2374)|(~lower_bounded_relstr(X2374)|~upper_bounded_relstr(X2374)|bounded_relstr(X2374))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_yellow_0])])).
% 282.28/198.91 fof(i_0_2758, plain, ![X2359]:((~empty_carrier(X2359)|(empty_carrier(X2359)|~reflexive_relstr(X2359))|~rel_str(X2359))&(~v1_yellow_3(X2359)|(empty_carrier(X2359)|~reflexive_relstr(X2359))|~rel_str(X2359))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1223])])])).
% 282.28/198.91 fof(i_0_2759, plain, ![X2690, X2691, X2692]:((X2690!=empty_set|~in(X2691,X2690))&(in(esk64_1(X2692),X2692)|X2692=empty_set)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1224])])])])])).
% 282.28/198.91 cnf(i_0_2760, negated_conjecture, (upper_relstr_subset(esk519_0,boole_POSet(esk518_0))), inference(split_conjunct,[status(thm)],[i_0_1123])).
% 282.28/198.91 cnf(i_0_2761, negated_conjecture, (filtered_subset(esk519_0,boole_POSet(esk518_0))), inference(split_conjunct,[status(thm)],[i_0_1123])).
% 282.28/198.91 fof(i_0_2762, plain, ![X3129]:((relation(function_inverse(X3129))|(~relation(X3129)|~function(X3129)))&(function(function_inverse(X3129))|(~relation(X3129)|~function(X3129)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_funct_1])])])).
% 282.28/198.91 fof(i_0_2763, plain, ![X2350]:((((epsilon_transitive(X2350)|~element(X2350,omega))&(epsilon_connected(X2350)|~element(X2350,omega)))&(ordinal(X2350)|~element(X2350,omega)))&(natural(X2350)|~element(X2350,omega))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_arytm_3])])])).
% 282.28/198.91 fof(i_0_2764, plain, ![X2444]:(~rel_str(X2444)|bottom_of_relstr(X2444)=join_on_relstr(X2444,empty_set)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_yellow_0])])).
% 282.28/198.91 fof(i_0_2765, plain, ![X2385]:(((((((((((~empty_carrier(X2385)|(empty_carrier(X2385)|~boolean_relstr(X2385))|~rel_str(X2385))&(reflexive_relstr(X2385)|(empty_carrier(X2385)|~boolean_relstr(X2385))|~rel_str(X2385)))&(transitive_relstr(X2385)|(empty_carrier(X2385)|~boolean_relstr(X2385))|~rel_str(X2385)))&(antisymmetric_relstr(X2385)|(empty_carrier(X2385)|~boolean_relstr(X2385))|~rel_str(X2385)))&(with_suprema_relstr(X2385)|(empty_carrier(X2385)|~boolean_relstr(X2385))|~rel_str(X2385)))&(with_infima_relstr(X2385)|(empty_carrier(X2385)|~boolean_relstr(X2385))|~rel_str(X2385)))&(lower_bounded_relstr(X2385)|(empty_carrier(X2385)|~boolean_relstr(X2385))|~rel_str(X2385)))&(upper_bounded_relstr(X2385)|(empty_carrier(X2385)|~boolean_relstr(X2385))|~rel_str(X2385)))&(bounded_relstr(X2385)|(empty_carrier(X2385)|~boolean_relstr(X2385))|~rel_str(X2385)))&(distributive_relstr(X2385)|(empty_carrier(X2385)|~boolean_relstr(X2385))|~rel_str(X2385)))&(complemented_relstr(X2385)|(empty_carrier(X2385)|~boolean_relstr(X2385))|~rel_str(X2385))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1225])])])).
% 282.28/198.91 fof(i_0_2766, plain, ![X2370]:((((((~empty_carrier(X2370)|(empty_carrier(X2370)|~boolean_lattstr(X2370))|~latt_str(X2370))&(distributive_lattstr(X2370)|(empty_carrier(X2370)|~boolean_lattstr(X2370))|~latt_str(X2370)))&(lower_bounded_semilattstr(X2370)|(empty_carrier(X2370)|~boolean_lattstr(X2370))|~latt_str(X2370)))&(upper_bounded_semilattstr(X2370)|(empty_carrier(X2370)|~boolean_lattstr(X2370))|~latt_str(X2370)))&(bounded_lattstr(X2370)|(empty_carrier(X2370)|~boolean_lattstr(X2370))|~latt_str(X2370)))&(complemented_lattstr(X2370)|(empty_carrier(X2370)|~boolean_lattstr(X2370))|~latt_str(X2370))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1226])])])).
% 282.28/198.91 fof(i_0_2767, plain, ![X2362]:(((~empty_carrier(X2362)|(empty_carrier(X2362)|~bounded_lattstr(X2362))|~latt_str(X2362))&(lower_bounded_semilattstr(X2362)|(empty_carrier(X2362)|~bounded_lattstr(X2362))|~latt_str(X2362)))&(upper_bounded_semilattstr(X2362)|(empty_carrier(X2362)|~bounded_lattstr(X2362))|~latt_str(X2362))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1227])])])).
% 282.28/198.91 fof(i_0_2768, plain, ![X2320]:(((((((~empty_carrier(X2320)|(empty_carrier(X2320)|~lattice(X2320))|~latt_str(X2320))&(join_commutative(X2320)|(empty_carrier(X2320)|~lattice(X2320))|~latt_str(X2320)))&(join_associative(X2320)|(empty_carrier(X2320)|~lattice(X2320))|~latt_str(X2320)))&(meet_commutative(X2320)|(empty_carrier(X2320)|~lattice(X2320))|~latt_str(X2320)))&(meet_associative(X2320)|(empty_carrier(X2320)|~lattice(X2320))|~latt_str(X2320)))&(meet_absorbing(X2320)|(empty_carrier(X2320)|~lattice(X2320))|~latt_str(X2320)))&(join_absorbing(X2320)|(empty_carrier(X2320)|~lattice(X2320))|~latt_str(X2320))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1228])])])).
% 282.28/198.91 fof(i_0_2769, plain, ![X2358]:((~empty_carrier(X2358)|(empty_carrier(X2358)|~complete_relstr(X2358))|~rel_str(X2358))&(bounded_relstr(X2358)|(empty_carrier(X2358)|~complete_relstr(X2358))|~rel_str(X2358))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1229])])])).
% 282.28/198.91 fof(i_0_2770, plain, ![X2288]:(((((((((~empty_carrier(X2288)|(empty_carrier(X2288)|~boolean_relstr(X2288))|~rel_str(X2288))&(reflexive_relstr(X2288)|(empty_carrier(X2288)|~boolean_relstr(X2288))|~rel_str(X2288)))&(transitive_relstr(X2288)|(empty_carrier(X2288)|~boolean_relstr(X2288))|~rel_str(X2288)))&(antisymmetric_relstr(X2288)|(empty_carrier(X2288)|~boolean_relstr(X2288))|~rel_str(X2288)))&(with_suprema_relstr(X2288)|(empty_carrier(X2288)|~boolean_relstr(X2288))|~rel_str(X2288)))&(with_infima_relstr(X2288)|(empty_carrier(X2288)|~boolean_relstr(X2288))|~rel_str(X2288)))&(upper_bounded_relstr(X2288)|(empty_carrier(X2288)|~boolean_relstr(X2288))|~rel_str(X2288)))&(distributive_relstr(X2288)|(empty_carrier(X2288)|~boolean_relstr(X2288))|~rel_str(X2288)))&(heyting_relstr(X2288)|(empty_carrier(X2288)|~boolean_relstr(X2288))|~rel_str(X2288))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1230])])])).
% 282.28/198.91 fof(i_0_2771, plain, ![X2379]:((~empty_carrier(X2379)|(empty_carrier(X2379)|~heyting_relstr(X2379))|~rel_str(X2379))&(distributive_relstr(X2379)|(empty_carrier(X2379)|~heyting_relstr(X2379))|~rel_str(X2379))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1231])])])).
% 282.28/198.91 fof(i_0_2772, plain, ![X2382]:((~empty_carrier(X2382)|(empty_carrier(X2382)|~heyting_relstr(X2382))|~rel_str(X2382))&(upper_bounded_relstr(X2382)|(empty_carrier(X2382)|~heyting_relstr(X2382))|~rel_str(X2382))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1232])])])).
% 282.28/198.91 fof(i_0_2773, plain, ![X2372]:((((((~empty_carrier(X2372)|(empty_carrier(X2372)|~heyting_relstr(X2372))|~rel_str(X2372))&(reflexive_relstr(X2372)|(empty_carrier(X2372)|~heyting_relstr(X2372))|~rel_str(X2372)))&(transitive_relstr(X2372)|(empty_carrier(X2372)|~heyting_relstr(X2372))|~rel_str(X2372)))&(antisymmetric_relstr(X2372)|(empty_carrier(X2372)|~heyting_relstr(X2372))|~rel_str(X2372)))&(with_suprema_relstr(X2372)|(empty_carrier(X2372)|~heyting_relstr(X2372))|~rel_str(X2372)))&(with_infima_relstr(X2372)|(empty_carrier(X2372)|~heyting_relstr(X2372))|~rel_str(X2372))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1233])])])).
% 282.28/198.91 fof(i_0_2774, plain, ![X2330]:(((~empty_carrier(X2330)|(empty_carrier(X2330)|~complete_relstr(X2330))|~rel_str(X2330))&(with_suprema_relstr(X2330)|(empty_carrier(X2330)|~complete_relstr(X2330))|~rel_str(X2330)))&(with_infima_relstr(X2330)|(empty_carrier(X2330)|~complete_relstr(X2330))|~rel_str(X2330))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1234])])])).
% 282.28/198.91 cnf(i_0_2775, plain, (directed_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2776, lemma, (antisymmetric(inclusion_relation(X1))), inference(split_conjunct,[status(thm)],[i_0_1235])).
% 282.28/198.91 cnf(i_0_2777, plain, (antisymmetric(inclusion_order(X1))), inference(split_conjunct,[status(thm)],[i_0_1130])).
% 282.28/198.91 cnf(i_0_2778, plain, (complemented_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2779, plain, (complemented_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2780, lemma, (reflexive(inclusion_relation(X1))), inference(split_conjunct,[status(thm)],[i_0_1236])).
% 282.28/198.91 cnf(i_0_2781, plain, (reflexive(inclusion_order(X1))), inference(split_conjunct,[status(thm)],[i_0_1130])).
% 282.28/198.91 cnf(i_0_2782, lemma, (transitive(inclusion_relation(X1))), inference(split_conjunct,[status(thm)],[i_0_1237])).
% 282.28/198.91 cnf(i_0_2783, plain, (transitive(inclusion_order(X1))), inference(split_conjunct,[status(thm)],[i_0_1130])).
% 282.28/198.91 cnf(i_0_2784, plain, (relation(inclusion_relation(X1))), inference(split_conjunct,[status(thm)],[i_0_1238])).
% 282.28/198.91 cnf(i_0_2785, plain, (bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2786, plain, (bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2787, plain, (bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1192])).
% 282.28/198.91 cnf(i_0_2788, plain, (bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2789, plain, (bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 282.28/198.91 cnf(i_0_2790, plain, (lower_bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2791, plain, (lower_bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2792, plain, (lower_bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1192])).
% 282.28/198.91 cnf(i_0_2793, plain, (lower_bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2794, plain, (lower_bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 282.28/198.91 cnf(i_0_2795, plain, (heyting_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2796, plain, (distributive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2797, plain, (distributive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2798, plain, (distributive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 282.28/198.91 cnf(i_0_2799, plain, (upper_bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2800, plain, (upper_bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2801, plain, (upper_bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1192])).
% 282.28/198.91 cnf(i_0_2802, plain, (upper_bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2803, plain, (upper_bounded_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 282.28/198.91 cnf(i_0_2804, plain, (with_infima_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2805, plain, (with_infima_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2806, plain, (with_infima_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1192])).
% 282.28/198.91 cnf(i_0_2807, plain, (with_infima_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2808, plain, (with_infima_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 282.28/198.91 cnf(i_0_2809, plain, (with_suprema_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2810, plain, (with_suprema_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2811, plain, (with_suprema_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1192])).
% 282.28/198.91 cnf(i_0_2812, plain, (with_suprema_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2813, plain, (with_suprema_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 282.28/198.91 cnf(i_0_2814, plain, (antisymmetric_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2815, plain, (antisymmetric_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2816, plain, (antisymmetric_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1192])).
% 282.28/198.91 cnf(i_0_2817, plain, (antisymmetric_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1193])).
% 282.28/198.91 cnf(i_0_2818, plain, (antisymmetric_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2819, plain, (antisymmetric_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 282.28/198.91 cnf(i_0_2820, plain, (transitive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2821, plain, (transitive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2822, plain, (transitive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1192])).
% 282.28/198.91 cnf(i_0_2823, plain, (transitive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1193])).
% 282.28/198.91 cnf(i_0_2824, plain, (transitive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2825, plain, (transitive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 282.28/198.91 cnf(i_0_2826, plain, (boolean_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2827, plain, (join_complete_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2828, plain, (join_complete_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2829, plain, (join_complete_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2830, plain, (join_complete_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 282.28/198.91 cnf(i_0_2831, plain, (up_complete_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2832, plain, (up_complete_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2833, plain, (up_complete_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2834, plain, (up_complete_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 282.28/198.91 cnf(i_0_2835, plain, (complete_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2836, plain, (complete_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2837, plain, (complete_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1192])).
% 282.28/198.91 cnf(i_0_2838, plain, (complete_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2839, plain, (complete_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 282.28/198.91 cnf(i_0_2840, plain, (reflexive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2841, plain, (reflexive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2842, plain, (reflexive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1192])).
% 282.28/198.91 cnf(i_0_2843, plain, (reflexive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1193])).
% 282.28/198.91 cnf(i_0_2844, plain, (reflexive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2845, plain, (reflexive_relstr(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 282.28/198.91 cnf(i_0_2846, plain, (strict_rel_str(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 282.28/198.91 cnf(i_0_2847, plain, (strict_rel_str(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 282.28/198.91 cnf(i_0_2848, plain, (strict_rel_str(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1192])).
% 282.28/198.91 cnf(i_0_2849, plain, (strict_rel_str(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1193])).
% 282.28/198.91 cnf(i_0_2850, plain, (strict_rel_str(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 282.28/198.91 cnf(i_0_2851, plain, (strict_rel_str(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 282.28/198.91 cnf(i_0_2852, plain, (strict_rel_str(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1239])).
% 282.28/198.91 cnf(i_0_2853, plain, (rel_str(boole_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_1239])).
% 282.28/198.91 cnf(i_0_2854, lemma, (bottom_of_relstr(boole_POSet(X1))=empty_set), inference(split_conjunct,[status(thm)],[i_0_1240])).
% 282.28/198.91 fof(i_0_2855, plain, ![X3488]:~proper_subset(X3488,X3488), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[i_0_1241])])).
% 282.28/198.91 cnf(i_0_2856, lemma, (singleton(X1)!=empty_set), inference(split_conjunct,[status(thm)],[i_0_1242])).
% 282.28/198.91 fof(i_0_2857, lemma, ![X4694]:(~subset(X4694,empty_set)|X4694=empty_set), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_xboole_1])])).
% 282.28/198.91 fof(i_0_2858, lemma, ![X4666]:((relation_rng(X4666)=relation_dom(relation_inverse(X4666))|~relation(X4666))&(relation_dom(X4666)=relation_rng(relation_inverse(X4666))|~relation(X4666))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_relat_1])])])).
% 282.28/198.91 cnf(i_0_2859, plain, (identity_on_carrier(X1)=identity_as_relation_of(the_carrier(X1))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1243])).
% 282.28/198.91 fof(i_0_2860, plain, ![X2343]:(~rel_str(X2343)|(~with_infima_relstr(X2343)|~empty_carrier(X2343))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1244])])).
% 282.28/198.91 fof(i_0_2861, plain, ![X2319]:(~rel_str(X2319)|(~with_suprema_relstr(X2319)|~empty_carrier(X2319))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1245])])).
% 282.28/198.91 fof(i_0_2862, plain, ![X3422]:(((((~empty_carrier(incl_POSet(X3422))|empty(X3422))&(strict_rel_str(incl_POSet(X3422))|empty(X3422)))&(reflexive_relstr(incl_POSet(X3422))|empty(X3422)))&(transitive_relstr(incl_POSet(X3422))|empty(X3422)))&(antisymmetric_relstr(incl_POSet(X3422))|empty(X3422))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1246])])])).
% 282.28/198.91 cnf(i_0_2863, plain, (boole_POSet(X1)=poset_of_lattice(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_1247])).
% 282.28/198.91 fof(i_0_2864, lemma, ![X4559]:(relation(esk514_1(X4559))&well_orders(esk514_1(X4559),X4559)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[t26_wellord2])])).
% 282.28/198.91 fof(i_0_2865, plain, ![X3275]:element(esk161_1(X3275),X3275), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])])).
% 282.28/198.91 cnf(i_0_2866, plain, (element(cast_to_subset(X1),powerset(X1))), inference(split_conjunct,[status(thm)],[i_0_1248])).
% 282.28/198.91 fof(i_0_2867, plain, ![X2349]:(~rel_str(X2349)|(v1_yellow_3(X2349)|~empty_carrier(X2349))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1249])])).
% 282.28/198.91 fof(i_0_2868, plain, ![X2332]:(~rel_str(X2332)|(~empty_carrier(X2332)|v1_yellow_3(X2332))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_yellow_3])])).
% 282.28/198.91 fof(i_0_2869, plain, ![X2338]:(~cup_closed(X2338)|~diff_closed(X2338)|preboolean(X2338)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_finsub_1])])).
% 282.28/198.91 fof(i_0_2870, plain, ![X2335]:((((epsilon_transitive(X2335)|(~empty(X2335)|~ordinal(X2335)))&(epsilon_connected(X2335)|(~empty(X2335)|~ordinal(X2335))))&(ordinal(X2335)|(~empty(X2335)|~ordinal(X2335))))&(natural(X2335)|(~empty(X2335)|~ordinal(X2335)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_arytm_3])])])).
% 282.28/198.91 fof(i_0_2871, plain, ![X2851]:(((epsilon_transitive(X2851)|~ordinal(X2851))&(epsilon_connected(X2851)|~ordinal(X2851)))&(~epsilon_transitive(X2851)|~epsilon_connected(X2851)|ordinal(X2851))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_ordinal1])])])).
% 282.28/198.91 fof(i_0_2872, plain, ![X2346]:(~epsilon_transitive(X2346)|~epsilon_connected(X2346)|ordinal(X2346)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_ordinal1])])).
% 282.28/198.91 fof(i_0_2873, plain, ![X2366]:((lower_bounded_relstr(X2366)|~bounded_relstr(X2366)|~rel_str(X2366))&(upper_bounded_relstr(X2366)|~bounded_relstr(X2366)|~rel_str(X2366))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_yellow_0])])])).
% 282.28/198.91 fof(i_0_2874, lemma, ![X4837]:((relation_dom(X4837)!=empty_set|relation_rng(X4837)=empty_set|~relation(X4837))&(relation_rng(X4837)!=empty_set|relation_dom(X4837)=empty_set|~relation(X4837))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t65_relat_1])])])).
% 282.28/198.91 fof(i_0_2875, plain, ![X3485]:(~relation(X3485)|relation_inverse(relation_inverse(X3485))=X3485), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k4_relat_1])])).
% 282.28/198.91 fof(i_0_2876, plain, ![X3168]:(~relation(X3168)|relation(relation_inverse(X3168))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relat_1])])).
% 282.28/198.91 fof(i_0_2877, plain, ![X3294]:((empty(relation_inverse(X3294))|~empty(X3294))&(relation(relation_inverse(X3294))|~empty(X3294))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc11_relat_1])])])).
% 282.28/198.91 fof(i_0_2878, plain, ![X3425]:((empty(relation_rng(X3425))|~empty(X3425))&(relation(relation_rng(X3425))|~empty(X3425))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_relat_1])])])).
% 282.28/198.91 fof(i_0_2879, plain, ![X3423]:((empty(relation_dom(X3423))|~empty(X3423))&(relation(relation_dom(X3423))|~empty(X3423))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_relat_1])])])).
% 282.28/198.91 fof(i_0_2880, plain, ![X3403]:(((epsilon_transitive(union(X3403))|~ordinal(X3403))&(epsilon_connected(union(X3403))|~ordinal(X3403)))&(ordinal(union(X3403))|~ordinal(X3403))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_ordinal1])])])).
% 282.28/198.91 fof(i_0_2881, plain, ![X3318]:((((((empty(empty_carrier_subset(X3318))|~one_sorted_str(X3318))&(v1_membered(empty_carrier_subset(X3318))|~one_sorted_str(X3318)))&(v2_membered(empty_carrier_subset(X3318))|~one_sorted_str(X3318)))&(v3_membered(empty_carrier_subset(X3318))|~one_sorted_str(X3318)))&(v4_membered(empty_carrier_subset(X3318))|~one_sorted_str(X3318)))&(v5_membered(empty_carrier_subset(X3318))|~one_sorted_str(X3318))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_pre_topc])])])).
% 282.28/198.91 fof(i_0_2882, plain, ![X3322]:~empty(powerset(X3322)), inference(variable_rename,[status(thm)],[i_0_1250])).
% 282.28/198.91 fof(i_0_2883, plain, ![X3310]:(((~empty(powerset(X3310))&cup_closed(powerset(X3310)))&diff_closed(powerset(X3310)))&preboolean(powerset(X3310))), inference(variable_rename,[status(thm)],[i_0_1251])).
% 282.28/198.91 fof(i_0_2884, plain, ![X3379]:(((((((((((((((~empty_carrier(boole_lattice(X3379))&strict_latt_str(boole_lattice(X3379)))&join_commutative(boole_lattice(X3379)))&join_associative(boole_lattice(X3379)))&meet_commutative(boole_lattice(X3379)))&meet_associative(boole_lattice(X3379)))&meet_absorbing(boole_lattice(X3379)))&join_absorbing(boole_lattice(X3379)))&lattice(boole_lattice(X3379)))&distributive_lattstr(boole_lattice(X3379)))&modular_lattstr(boole_lattice(X3379)))&lower_bounded_semilattstr(boole_lattice(X3379)))&upper_bounded_semilattstr(boole_lattice(X3379)))&bounded_lattstr(boole_lattice(X3379)))&complemented_lattstr(boole_lattice(X3379)))&boolean_lattstr(boole_lattice(X3379))), inference(variable_rename,[status(thm)],[i_0_1252])).
% 282.28/198.91 fof(i_0_2885, plain, ![X3344]:((((((((~empty_carrier(boole_lattice(X3344))&strict_latt_str(boole_lattice(X3344)))&join_commutative(boole_lattice(X3344)))&join_associative(boole_lattice(X3344)))&meet_commutative(boole_lattice(X3344)))&meet_associative(boole_lattice(X3344)))&meet_absorbing(boole_lattice(X3344)))&join_absorbing(boole_lattice(X3344)))&lattice(boole_lattice(X3344))), inference(variable_rename,[status(thm)],[i_0_1253])).
% 282.28/198.91 fof(i_0_2886, plain, ![X3314]:(~empty_carrier(boole_lattice(X3314))&strict_latt_str(boole_lattice(X3314))), inference(variable_rename,[status(thm)],[i_0_1254])).
% 282.28/198.91 fof(i_0_2887, plain, ![X3313]:((((((((((((((((~empty_carrier(boole_lattice(X3313))&strict_latt_str(boole_lattice(X3313)))&join_commutative(boole_lattice(X3313)))&join_associative(boole_lattice(X3313)))&meet_commutative(boole_lattice(X3313)))&meet_associative(boole_lattice(X3313)))&meet_absorbing(boole_lattice(X3313)))&join_absorbing(boole_lattice(X3313)))&lattice(boole_lattice(X3313)))&distributive_lattstr(boole_lattice(X3313)))&modular_lattstr(boole_lattice(X3313)))&lower_bounded_semilattstr(boole_lattice(X3313)))&upper_bounded_semilattstr(boole_lattice(X3313)))&bounded_lattstr(boole_lattice(X3313)))&complemented_lattstr(boole_lattice(X3313)))&boolean_lattstr(boole_lattice(X3313)))&complete_latt_str(boole_lattice(X3313))), inference(variable_rename,[status(thm)],[i_0_1255])).
% 282.28/198.91 fof(i_0_2888, plain, ![X4893, X4894]:(~empty(X4893)|X4893=X4894|~empty(X4894)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])])).
% 282.28/198.91 fof(i_0_2889, lemma, ![X4836]:((relation_dom(X4836)!=empty_set|X4836=empty_set|~relation(X4836))&(relation_rng(X4836)!=empty_set|X4836=empty_set|~relation(X4836))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t64_relat_1])])])).
% 282.28/198.91 fof(i_0_2890, lemma, ![X4339]:(~one_sorted_str(X4339)|cast_as_carrier_subset(X4339)=the_carrier(X4339)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_pre_topc])])).
% 282.28/198.91 fof(i_0_2891, plain, ![X2817]:(~one_sorted_str(X2817)|cast_as_carrier_subset(X2817)=the_carrier(X2817)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pre_topc])])).
% 282.28/198.91 fof(i_0_2892, plain, ![X3475]:set_union2(X3475,X3475)=X3475, inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k2_xboole_0])])).
% 282.28/198.91 fof(i_0_2893, plain, ![X3739]:equipotent(X3739,X3739), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r2_wellord2])])).
% 282.28/198.91 fof(i_0_2894, plain, ![X3738]:subset(X3738,X3738), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])])).
% 282.28/198.91 cnf(i_0_2895, lemma, (powerset(empty_set)=singleton(empty_set)), inference(split_conjunct,[status(thm)],[t1_zfmisc_1])).
% 282.28/198.91 fof(i_0_2896, plain, ![X4680]:set_difference(X4680,empty_set)=X4680, inference(variable_rename,[status(thm)],[t3_boole])).
% 282.28/198.91 fof(i_0_2897, plain, ![X4458]:set_union2(X4458,empty_set)=X4458, inference(variable_rename,[status(thm)],[t1_boole])).
% 282.28/198.91 fof(i_0_2898, plain, ![X2941]:((~being_limit_ordinal(X2941)|X2941=union(X2941))&(X2941!=union(X2941)|being_limit_ordinal(X2941))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_ordinal1])])).
% 282.28/198.91 fof(i_0_2899, lemma, ![X4596]:subset(empty_set,X4596), inference(variable_rename,[status(thm)],[t2_xboole_1])).
% 282.28/198.91 fof(i_0_2900, plain, ![X4756]:set_difference(empty_set,X4756)=empty_set, inference(variable_rename,[status(thm)],[t4_boole])).
% 282.28/198.91 fof(i_0_2901, plain, ![X3240]:((meet_semilatt_str(X3240)|~latt_str(X3240))&(join_semilatt_str(X3240)|~latt_str(X3240))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])).
% 282.28/198.91 fof(i_0_2902, plain, ![X2324]:(~empty(X2324)|relation(X2324)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])])).
% 282.28/198.91 fof(i_0_2903, plain, ![X2314]:(~empty(X2314)|function(X2314)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])])).
% 282.28/198.91 fof(i_0_2904, plain, ![X2313]:((cup_closed(X2313)|~preboolean(X2313))&(diff_closed(X2313)|~preboolean(X2313))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finsub_1])])])).
% 282.28/198.91 fof(i_0_2905, plain, ![X2312]:(~empty(X2312)|finite(X2312)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finset_1])])).
% 282.28/198.91 fof(i_0_2906, plain, ![X2322]:((epsilon_transitive(X2322)|~ordinal(X2322))&(epsilon_connected(X2322)|~ordinal(X2322))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_ordinal1])])])).
% 282.28/198.91 fof(i_0_2907, plain, ![X2356]:(((epsilon_transitive(X2356)|~empty(X2356))&(epsilon_connected(X2356)|~empty(X2356)))&(ordinal(X2356)|~empty(X2356))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_ordinal1])])])).
% 282.28/198.91 fof(i_0_2908, plain, ![X2301]:(((((v1_membered(X2301)|~empty(X2301))&(v2_membered(X2301)|~empty(X2301)))&(v3_membered(X2301)|~empty(X2301)))&(v4_membered(X2301)|~empty(X2301)))&(v5_membered(X2301)|~empty(X2301))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc15_membered])])])).
% 282.28/198.91 fof(i_0_2909, plain, ![X2321]:(~v5_membered(X2321)|v4_membered(X2321)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_membered])])).
% 282.28/198.91 fof(i_0_2910, plain, ![X2345]:(~v4_membered(X2345)|v3_membered(X2345)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_membered])])).
% 282.28/198.91 fof(i_0_2911, plain, ![X2355]:(~v3_membered(X2355)|v2_membered(X2355)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_membered])])).
% 282.28/198.91 fof(i_0_2912, plain, ![X2363]:(~v2_membered(X2363)|v1_membered(X2363)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_membered])])).
% 282.28/198.91 fof(i_0_2913, plain, ![X3236]:(~top_str(X3236)|one_sorted_str(X3236)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])])).
% 282.28/198.91 fof(i_0_2914, plain, ![X3234]:(~meet_semilatt_str(X3234)|one_sorted_str(X3234)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])])).
% 282.28/198.91 fof(i_0_2915, plain, ![X3239]:(~join_semilatt_str(X3239)|one_sorted_str(X3239)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_lattices])])).
% 282.28/198.91 fof(i_0_2916, plain, ![X3235]:(~rel_str(X3235)|one_sorted_str(X3235)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])])).
% 282.28/198.91 fof(i_0_2917, plain, ![X2736]:(~one_sorted_str(X2736)|empty_carrier_subset(X2736)=empty_set), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_pre_topc])])).
% 282.28/198.91 fof(i_0_2918, lemma, ![X4921]:union(powerset(X4921))=X4921, inference(variable_rename,[status(thm)],[t99_zfmisc_1])).
% 282.28/198.91 fof(i_0_2919, lemma, ![X4864]:(relation_dom(identity_relation(X4864))=X4864&relation_rng(identity_relation(X4864))=X4864), inference(variable_rename,[status(thm)],[t71_relat_1])).
% 282.28/198.91 fof(i_0_2920, plain, ![X3346]:(((((relation(identity_relation(X3346))&function(identity_relation(X3346)))&reflexive(identity_relation(X3346)))&symmetric(identity_relation(X3346)))&antisymmetric(identity_relation(X3346)))&transitive(identity_relation(X3346))), inference(variable_rename,[status(thm)],[fc2_partfun1])).
% 282.28/198.91 fof(i_0_2921, plain, ![X3342]:(relation(identity_relation(X3342))&function(identity_relation(X3342))), inference(variable_rename,[status(thm)],[fc2_funct_1])).
% 282.28/198.91 fof(i_0_2922, plain, ![X3198]:relation(identity_relation(X3198)), inference(variable_rename,[status(thm)],[dt_k6_relat_1])).
% 282.28/198.91 fof(i_0_2923, lemma, ![X4681]:(lower_bounded_semilattstr(boole_lattice(X4681))&bottom_of_semilattstr(boole_lattice(X4681))=empty_set), inference(variable_rename,[status(thm)],[t3_lattice3])).
% 282.28/198.91 fof(i_0_2924, plain, ![X3414]:(((strict_rel_str(incl_POSet(X3414))&reflexive_relstr(incl_POSet(X3414)))&transitive_relstr(incl_POSet(X3414)))&antisymmetric_relstr(incl_POSet(X3414))), inference(variable_rename,[status(thm)],[fc5_yellow_1])).
% 282.28/198.91 fof(i_0_2925, plain, ![X3105]:(strict_latt_str(boole_lattice(X3105))&latt_str(boole_lattice(X3105))), inference(variable_rename,[status(thm)],[dt_k1_lattice3])).
% 282.28/198.91 fof(i_0_2926, plain, ![X3147]:(strict_rel_str(incl_POSet(X3147))&rel_str(incl_POSet(X3147))), inference(variable_rename,[status(thm)],[dt_k2_yellow_1])).
% 282.28/198.91 fof(i_0_2927, plain, ![X4846]:(~empty(X4846)|X4846=empty_set), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])).
% 282.28/198.91 fof(i_0_2928, plain, ((((((((((((((((rel_str(esk205_0)&~empty_carrier(esk205_0))&~trivial_carrier(esk205_0))&strict_rel_str(esk205_0))&reflexive_relstr(esk205_0))&transitive_relstr(esk205_0))&antisymmetric_relstr(esk205_0))&lower_bounded_relstr(esk205_0))&upper_bounded_relstr(esk205_0))&bounded_relstr(esk205_0))&~v1_yellow_3(esk205_0))&distributive_relstr(esk205_0))&heyting_relstr(esk205_0))&complemented_relstr(esk205_0))&boolean_relstr(esk205_0))&with_suprema_relstr(esk205_0))&with_infima_relstr(esk205_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1256])])).
% 282.28/198.91 fof(i_0_2929, plain, ((((((rel_str(esk208_0)&~empty_carrier(esk208_0))&strict_rel_str(esk208_0))&reflexive_relstr(esk208_0))&transitive_relstr(esk208_0))&antisymmetric_relstr(esk208_0))&~v1_yellow_3(esk208_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1257])])).
% 282.28/198.91 fof(i_0_2930, plain, (((~empty(esk228_0)&epsilon_transitive(esk228_0))&epsilon_connected(esk228_0))&ordinal(esk228_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1258])])).
% 282.28/198.91 fof(i_0_2931, plain, ~empty(esk223_0), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1259])])).
% 282.28/198.91 fof(i_0_2932, plain, (~empty(esk216_0)&relation(esk216_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1260])])).
% 282.28/198.91 fof(i_0_2933, plain, (((((~empty(esk193_0)&v1_membered(esk193_0))&v2_membered(esk193_0))&v3_membered(esk193_0))&v4_membered(esk193_0))&v5_membered(esk193_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1261])])).
% 282.28/198.91 fof(i_0_2934, plain, (~empty(esk189_0)&finite(esk189_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1262])])).
% 282.28/198.91 fof(i_0_2935, plain, ((((~empty(esk188_0)&epsilon_transitive(esk188_0))&epsilon_connected(esk188_0))&ordinal(esk188_0))&natural(esk188_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1263])])).
% 282.28/198.91 fof(i_0_2936, plain, (((epsilon_transitive(omega)&epsilon_connected(omega))&ordinal(omega))&~empty(omega)), inference(fof_simplification,[status(thm)],[fc1_ordinal2])).
% 282.28/198.91 fof(i_0_2937, plain, (((((((((latt_str(esk246_0)&~empty_carrier(esk246_0))&strict_latt_str(esk246_0))&join_commutative(esk246_0))&join_associative(esk246_0))&meet_commutative(esk246_0))&meet_associative(esk246_0))&meet_absorbing(esk246_0))&join_absorbing(esk246_0))&lattice(esk246_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1264])])).
% 282.28/198.91 fof(i_0_2938, plain, ((latt_str(esk241_0)&~empty_carrier(esk241_0))&strict_latt_str(esk241_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1265])])).
% 282.28/198.91 fof(i_0_2939, plain, ((((((((((rel_str(esk240_0)&~empty_carrier(esk240_0))&strict_rel_str(esk240_0))&reflexive_relstr(esk240_0))&transitive_relstr(esk240_0))&antisymmetric_relstr(esk240_0))&with_suprema_relstr(esk240_0))&with_infima_relstr(esk240_0))&upper_bounded_relstr(esk240_0))&distributive_relstr(esk240_0))&heyting_relstr(esk240_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1266])])).
% 282.28/198.91 fof(i_0_2940, plain, ((((rel_str(esk238_0)&~empty_carrier(esk238_0))&strict_rel_str(esk238_0))&transitive_relstr(esk238_0))&directed_relstr(esk238_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1267])])).
% 282.28/198.91 fof(i_0_2941, plain, ((((((((((((((rel_str(esk236_0)&~empty_carrier(esk236_0))&strict_rel_str(esk236_0))&reflexive_relstr(esk236_0))&transitive_relstr(esk236_0))&antisymmetric_relstr(esk236_0))&with_suprema_relstr(esk236_0))&with_infima_relstr(esk236_0))&lower_bounded_relstr(esk236_0))&upper_bounded_relstr(esk236_0))&bounded_relstr(esk236_0))&distributive_relstr(esk236_0))&heyting_relstr(esk236_0))&complemented_relstr(esk236_0))&boolean_relstr(esk236_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1268])])).
% 282.28/198.91 fof(i_0_2942, plain, (one_sorted_str(esk231_0)&~empty_carrier(esk231_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1269])])).
% 282.28/198.91 fof(i_0_2943, plain, ((((((((((rel_str(esk224_0)&~empty_carrier(esk224_0))&reflexive_relstr(esk224_0))&transitive_relstr(esk224_0))&antisymmetric_relstr(esk224_0))&with_suprema_relstr(esk224_0))&with_infima_relstr(esk224_0))&complete_relstr(esk224_0))&lower_bounded_relstr(esk224_0))&upper_bounded_relstr(esk224_0))&bounded_relstr(esk224_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1270])])).
% 282.28/198.91 fof(i_0_2944, plain, (((((((((((((((rel_str(esk221_0)&~empty_carrier(esk221_0))&strict_rel_str(esk221_0))&reflexive_relstr(esk221_0))&transitive_relstr(esk221_0))&antisymmetric_relstr(esk221_0))&with_suprema_relstr(esk221_0))&with_infima_relstr(esk221_0))&complete_relstr(esk221_0))&lower_bounded_relstr(esk221_0))&upper_bounded_relstr(esk221_0))&bounded_relstr(esk221_0))&up_complete_relstr(esk221_0))&join_complete_relstr(esk221_0))&v2_waybel_3(esk221_0))&v3_waybel_3(esk221_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1271])])).
% 282.28/198.91 fof(i_0_2945, plain, (((((rel_str(esk213_0)&~empty_carrier(esk213_0))&strict_rel_str(esk213_0))&reflexive_relstr(esk213_0))&transitive_relstr(esk213_0))&antisymmetric_relstr(esk213_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1272])])).
% 282.28/198.91 fof(i_0_2946, plain, ((((((((rel_str(esk212_0)&~empty_carrier(esk212_0))&strict_rel_str(esk212_0))&reflexive_relstr(esk212_0))&transitive_relstr(esk212_0))&antisymmetric_relstr(esk212_0))&with_suprema_relstr(esk212_0))&with_infima_relstr(esk212_0))&complete_relstr(esk212_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1273])])).
% 282.28/198.91 fof(i_0_2947, plain, (((((((((rel_str(esk207_0)&~empty_carrier(esk207_0))&strict_rel_str(esk207_0))&reflexive_relstr(esk207_0))&transitive_relstr(esk207_0))&antisymmetric_relstr(esk207_0))&with_suprema_relstr(esk207_0))&with_infima_relstr(esk207_0))&complete_relstr(esk207_0))&trivial_carrier(esk207_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1274])])).
% 282.28/198.91 fof(i_0_2948, plain, ((((((((((((((((rel_str(esk204_0)&~empty_carrier(esk204_0))&strict_rel_str(esk204_0))&reflexive_relstr(esk204_0))&transitive_relstr(esk204_0))&antisymmetric_relstr(esk204_0))&lower_bounded_relstr(esk204_0))&upper_bounded_relstr(esk204_0))&bounded_relstr(esk204_0))&up_complete_relstr(esk204_0))&join_complete_relstr(esk204_0))&with_suprema_relstr(esk204_0))&with_infima_relstr(esk204_0))&complete_relstr(esk204_0))&distributive_relstr(esk204_0))&v2_waybel_3(esk204_0))&v3_waybel_3(esk204_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1275])])).
% 282.28/198.91 fof(i_0_2949, plain, (((((((((((((rel_str(esk203_0)&~empty_carrier(esk203_0))&reflexive_relstr(esk203_0))&transitive_relstr(esk203_0))&antisymmetric_relstr(esk203_0))&with_suprema_relstr(esk203_0))&with_infima_relstr(esk203_0))&complete_relstr(esk203_0))&lower_bounded_relstr(esk203_0))&upper_bounded_relstr(esk203_0))&bounded_relstr(esk203_0))&connected_relstr(esk203_0))&up_complete_relstr(esk203_0))&join_complete_relstr(esk203_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1276])])).
% 282.28/198.91 fof(i_0_2950, plain, ((((((rel_str(esk192_0)&~empty_carrier(esk192_0))&strict_rel_str(esk192_0))&reflexive_relstr(esk192_0))&transitive_relstr(esk192_0))&antisymmetric_relstr(esk192_0))&complete_relstr(esk192_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1277])])).
% 282.28/198.91 fof(i_0_2951, plain, (((((((((((((rel_str(esk187_0)&~empty_carrier(esk187_0))&strict_rel_str(esk187_0))&reflexive_relstr(esk187_0))&transitive_relstr(esk187_0))&antisymmetric_relstr(esk187_0))&with_suprema_relstr(esk187_0))&with_infima_relstr(esk187_0))&complete_relstr(esk187_0))&lower_bounded_relstr(esk187_0))&upper_bounded_relstr(esk187_0))&bounded_relstr(esk187_0))&up_complete_relstr(esk187_0))&join_complete_relstr(esk187_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1278])])).
% 282.28/198.91 fof(i_0_2952, plain, (((((((((((((((latt_str(esk186_0)&~empty_carrier(esk186_0))&strict_latt_str(esk186_0))&join_commutative(esk186_0))&join_associative(esk186_0))&meet_commutative(esk186_0))&meet_associative(esk186_0))&meet_absorbing(esk186_0))&join_absorbing(esk186_0))&lattice(esk186_0))&distributive_lattstr(esk186_0))&lower_bounded_semilattstr(esk186_0))&upper_bounded_semilattstr(esk186_0))&bounded_lattstr(esk186_0))&complemented_lattstr(esk186_0))&boolean_lattstr(esk186_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1279])])).
% 282.28/198.91 fof(i_0_2953, plain, (((((rel_str(esk185_0)&~empty_carrier(esk185_0))&reflexive_relstr(esk185_0))&transitive_relstr(esk185_0))&antisymmetric_relstr(esk185_0))&connected_relstr(esk185_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1280])])).
% 282.28/198.91 fof(i_0_2954, plain, (((((((((((((latt_str(esk184_0)&~empty_carrier(esk184_0))&strict_latt_str(esk184_0))&join_commutative(esk184_0))&join_associative(esk184_0))&meet_commutative(esk184_0))&meet_associative(esk184_0))&meet_absorbing(esk184_0))&join_absorbing(esk184_0))&lattice(esk184_0))&lower_bounded_semilattstr(esk184_0))&upper_bounded_semilattstr(esk184_0))&bounded_lattstr(esk184_0))&complemented_lattstr(esk184_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1281])])).
% 282.28/198.91 fof(i_0_2955, plain, ((((((((((((latt_str(esk183_0)&~empty_carrier(esk183_0))&strict_latt_str(esk183_0))&join_commutative(esk183_0))&join_associative(esk183_0))&meet_commutative(esk183_0))&meet_associative(esk183_0))&meet_absorbing(esk183_0))&join_absorbing(esk183_0))&lattice(esk183_0))&lower_bounded_semilattstr(esk183_0))&upper_bounded_semilattstr(esk183_0))&bounded_lattstr(esk183_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1282])])).
% 282.28/198.91 fof(i_0_2956, plain, (((((((((((((latt_str(esk181_0)&~empty_carrier(esk181_0))&strict_latt_str(esk181_0))&join_commutative(esk181_0))&join_associative(esk181_0))&meet_commutative(esk181_0))&meet_associative(esk181_0))&meet_absorbing(esk181_0))&join_absorbing(esk181_0))&lattice(esk181_0))&distributive_lattstr(esk181_0))&modular_lattstr(esk181_0))&lower_bounded_semilattstr(esk181_0))&upper_bounded_semilattstr(esk181_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_1283])])).
% 282.28/198.91 fof(i_0_2957, plain, ((relation(esk234_0)&relation_empty_yielding(esk234_0))&function(esk234_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc4_funct_1])])).
% 282.28/198.91 fof(i_0_2958, plain, (relation(esk230_0)&relation_empty_yielding(esk230_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_relat_1])])).
% 282.28/198.91 fof(i_0_2959, plain, ((relation(esk198_0)&relation_empty_yielding(esk198_0))&function(esk198_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_pboole])])).
% 282.28/198.91 fof(i_0_2960, plain, (((epsilon_transitive(esk196_0)&epsilon_connected(esk196_0))&ordinal(esk196_0))&being_limit_ordinal(esk196_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_ordinal2])])).
% 282.28/198.91 fof(i_0_2961, plain, top_str(esk154_0), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_pre_topc])])).
% 282.28/198.91 fof(i_0_2962, plain, meet_semilatt_str(esk152_0), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_lattices])])).
% 282.28/198.91 fof(i_0_2963, plain, join_semilatt_str(esk157_0), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l2_lattices])])).
% 282.28/198.91 fof(i_0_2964, plain, ((relation(esk226_0)&function(esk226_0))&one_to_one(esk226_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_funct_1])])).
% 282.28/198.91 fof(i_0_2965, plain, ((((((relation(esk214_0)&function(esk214_0))&one_to_one(esk214_0))&empty(esk214_0))&epsilon_transitive(esk214_0))&epsilon_connected(esk214_0))&ordinal(esk214_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_ordinal1])])).
% 282.28/198.91 fof(i_0_2966, plain, (((relation(esk197_0)&function(esk197_0))&one_to_one(esk197_0))&empty(esk197_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_partfun1])])).
% 282.28/198.91 fof(i_0_2967, plain, ((relation(esk210_0)&empty(esk210_0))&function(esk210_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_1])])).
% 282.28/198.91 fof(i_0_2968, plain, (empty(esk199_0)&relation(esk199_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])])).
% 282.28/198.91 fof(i_0_2969, plain, (relation(esk190_0)&function(esk190_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_1])])).
% 282.28/198.91 fof(i_0_2970, plain, ((epsilon_transitive(esk195_0)&epsilon_connected(esk195_0))&ordinal(esk195_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_ordinal1])])).
% 282.28/198.91 fof(i_0_2971, plain, empty(esk206_0), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])])).
% 282.28/198.91 fof(i_0_2972, plain, one_sorted_str(esk155_0), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_struct_0])])).
% 282.28/198.91 fof(i_0_2973, plain, (latt_str(esk227_0)&strict_latt_str(esk227_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_lattices])])).
% 282.28/198.91 fof(i_0_2974, plain, latt_str(esk158_0), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l3_lattices])])).
% 282.28/198.91 fof(i_0_2975, plain, (rel_str(esk194_0)&strict_rel_str(esk194_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_orders_2])])).
% 282.28/198.91 fof(i_0_2976, plain, rel_str(esk153_0), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_orders_2])])).
% 282.28/198.91 cnf(i_0_2977, plain, (empty(X2)|in(X5,esk294_3(X2,X3,X4))|in(unordered_pair(unordered_pair(esk292_2(X2,X3),X9),unordered_pair(esk292_2(X2,X3),esk292_2(X2,X3))),X3)|X6!=X7|X5!=X8|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|~relation(X3)|~in(X6,X2)|~in(X1,X7)|~in(X9,esk293_2(X2,X3))|~in(X8,cartesian_product2(X2,X4))|~in(unordered_pair(unordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1284, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2978, plain, (empty(X2)|in(X5,esk294_3(X2,X3,X4))|in(unordered_pair(unordered_pair(esk289_2(X2,X3),X9),unordered_pair(esk289_2(X2,X3),esk289_2(X2,X3))),X3)|X6!=X7|X5!=X8|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|~relation(X3)|~in(X6,X2)|~in(X1,X7)|~in(X9,esk290_2(X2,X3))|~in(X8,cartesian_product2(X2,X4))|~in(unordered_pair(unordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1286, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2979, plain, (unordered_pair(unordered_pair(esk291_2(X2,X3),esk292_2(X2,X3)),unordered_pair(esk291_2(X2,X3),esk291_2(X2,X3)))=esk287_2(X2,X3)|empty(X2)|in(X5,esk294_3(X2,X3,X4))|X6!=X7|X5!=X8|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|~relation(X3)|~in(X6,X2)|~in(X1,X7)|~in(X8,cartesian_product2(X2,X4))|~in(unordered_pair(unordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1287, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2980, plain, (unordered_pair(unordered_pair(esk288_2(X2,X3),esk289_2(X2,X3)),unordered_pair(esk288_2(X2,X3),esk288_2(X2,X3)))=esk286_2(X2,X3)|empty(X2)|in(X5,esk294_3(X2,X3,X4))|X6!=X7|X5!=X8|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|~relation(X3)|~in(X6,X2)|~in(X1,X7)|~in(X8,cartesian_product2(X2,X4))|~in(unordered_pair(unordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1288, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2981, plain, (empty(X2)|in(X5,esk294_3(X2,X3,X4))|in(esk292_2(X2,X3),esk293_2(X2,X3))|X6!=X7|X5!=X8|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|~relation(X3)|~in(X6,X2)|~in(X1,X7)|~in(X8,cartesian_product2(X2,X4))|~in(unordered_pair(unordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1289, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2982, plain, (empty(X2)|in(X5,esk294_3(X2,X3,X4))|in(esk289_2(X2,X3),esk290_2(X2,X3))|X6!=X7|X5!=X8|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|~relation(X3)|~in(X6,X2)|~in(X1,X7)|~in(X8,cartesian_product2(X2,X4))|~in(unordered_pair(unordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1290, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2983, plain, (empty(X2)|in(X5,esk294_3(X2,X3,X4))|X6!=X7|X5!=X8|esk287_2(X2,X3)!=esk286_2(X2,X3)|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|~relation(X3)|~in(X6,X2)|~in(X1,X7)|~in(X8,cartesian_product2(X2,X4))|~in(unordered_pair(unordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1291, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2984, plain, (empty(X2)|in(esk291_2(X2,X3),X2)|in(X5,esk294_3(X2,X3,X4))|X6!=X7|X5!=X8|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|~relation(X3)|~in(X6,X2)|~in(X1,X7)|~in(X8,cartesian_product2(X2,X4))|~in(unordered_pair(unordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1292, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2985, plain, (empty(X2)|in(esk288_2(X2,X3),X2)|in(X5,esk294_3(X2,X3,X4))|X6!=X7|X5!=X8|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|~relation(X3)|~in(X6,X2)|~in(X1,X7)|~in(X8,cartesian_product2(X2,X4))|~in(unordered_pair(unordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1293, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2986, plain, (esk293_2(X2,X3)=esk291_2(X2,X3)|empty(X2)|in(X5,esk294_3(X2,X3,X4))|X6!=X7|X5!=X8|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|~relation(X3)|~in(X6,X2)|~in(X1,X7)|~in(X8,cartesian_product2(X2,X4))|~in(unordered_pair(unordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1294, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2987, plain, (esk290_2(X2,X3)=esk288_2(X2,X3)|empty(X2)|in(X5,esk294_3(X2,X3,X4))|X6!=X7|X5!=X8|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|~relation(X3)|~in(X6,X2)|~in(X1,X7)|~in(X8,cartesian_product2(X2,X4))|~in(unordered_pair(unordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1295, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2988, plain, (esk287_2(X2,X3)=esk285_2(X2,X3)|empty(X2)|in(X5,esk294_3(X2,X3,X4))|X6!=X7|X5!=X8|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|~relation(X3)|~in(X6,X2)|~in(X1,X7)|~in(X8,cartesian_product2(X2,X4))|~in(unordered_pair(unordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1296, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2989, plain, (esk286_2(X2,X3)=esk285_2(X2,X3)|empty(X2)|in(X5,esk294_3(X2,X3,X4))|X6!=X7|X5!=X8|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|~relation(X3)|~in(X6,X2)|~in(X1,X7)|~in(X8,cartesian_product2(X2,X4))|~in(unordered_pair(unordered_pair(X1,esk299_7(X2,X3,X4,X5,X6,X1,X7)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1297, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2990, lemma, (empty(X2)|in(X5,esk422_3(X2,X3,X4))|X6!=X7|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|~relation(X3)|~in(X6,X2)|~in(X1,X7)|~in(X5,cartesian_product2(X2,X4))|~in(unordered_pair(unordered_pair(X1,esk426_7(X2,X3,X4,X5,X6,X1,X7)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1298, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2991, plain, (empty(X1)|in(X4,esk294_3(X1,X2,X3))|in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(unordered_pair(unordered_pair(esk292_2(X1,X2),X9),unordered_pair(esk292_2(X1,X2),esk292_2(X1,X2))),X2)|X5!=X7|X4!=X8|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~relation(X2)|~in(X6,X7)|~in(X5,X1)|~in(X9,esk293_2(X1,X2))|~in(X8,cartesian_product2(X1,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1299, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2992, plain, (empty(X1)|in(X4,esk294_3(X1,X2,X3))|in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|in(unordered_pair(unordered_pair(esk289_2(X1,X2),X9),unordered_pair(esk289_2(X1,X2),esk289_2(X1,X2))),X2)|X5!=X7|X4!=X8|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~relation(X2)|~in(X6,X7)|~in(X5,X1)|~in(X9,esk290_2(X1,X2))|~in(X8,cartesian_product2(X1,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1300, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2993, plain, (unordered_pair(unordered_pair(esk291_2(X1,X2),esk292_2(X1,X2)),unordered_pair(esk291_2(X1,X2),esk291_2(X1,X2)))=esk287_2(X1,X2)|empty(X1)|in(X4,esk294_3(X1,X2,X3))|in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|X5!=X7|X4!=X8|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~relation(X2)|~in(X6,X7)|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1301, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2994, plain, (unordered_pair(unordered_pair(esk288_2(X1,X2),esk289_2(X1,X2)),unordered_pair(esk288_2(X1,X2),esk288_2(X1,X2)))=esk286_2(X1,X2)|empty(X1)|in(X4,esk294_3(X1,X2,X3))|in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|X5!=X7|X4!=X8|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~relation(X2)|~in(X6,X7)|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1302, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2995, plain, (empty(X1)|in(X4,esk294_3(X1,X2,X3))|in(esk292_2(X1,X2),esk293_2(X1,X2))|in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|X5!=X7|X4!=X8|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~relation(X2)|~in(X6,X7)|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))), inference(rw,[status(thm)],[i_0_1303, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2996, plain, (empty(X1)|in(X4,esk294_3(X1,X2,X3))|in(esk289_2(X1,X2),esk290_2(X1,X2))|in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|X5!=X7|X4!=X8|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~relation(X2)|~in(X6,X7)|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))), inference(rw,[status(thm)],[i_0_1304, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2997, plain, (empty(X1)|in(X4,esk294_3(X1,X2,X3))|in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|X5!=X7|X4!=X8|esk287_2(X1,X2)!=esk286_2(X1,X2)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~relation(X2)|~in(X6,X7)|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))), inference(rw,[status(thm)],[i_0_1305, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2998, plain, (empty(X1)|in(esk291_2(X1,X2),X1)|in(X4,esk294_3(X1,X2,X3))|in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|X5!=X7|X4!=X8|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~relation(X2)|~in(X6,X7)|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))), inference(rw,[status(thm)],[i_0_1306, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_2999, plain, (empty(X1)|in(esk288_2(X1,X2),X1)|in(X4,esk294_3(X1,X2,X3))|in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|X5!=X7|X4!=X8|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~relation(X2)|~in(X6,X7)|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))), inference(rw,[status(thm)],[i_0_1307, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3000, plain, (esk293_2(X1,X2)=esk291_2(X1,X2)|empty(X1)|in(X4,esk294_3(X1,X2,X3))|in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|X5!=X7|X4!=X8|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~relation(X2)|~in(X6,X7)|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))), inference(rw,[status(thm)],[i_0_1308, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3001, plain, (esk290_2(X1,X2)=esk288_2(X1,X2)|empty(X1)|in(X4,esk294_3(X1,X2,X3))|in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|X5!=X7|X4!=X8|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~relation(X2)|~in(X6,X7)|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))), inference(rw,[status(thm)],[i_0_1309, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3002, plain, (esk287_2(X1,X2)=esk285_2(X1,X2)|empty(X1)|in(X4,esk294_3(X1,X2,X3))|in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|X5!=X7|X4!=X8|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~relation(X2)|~in(X6,X7)|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))), inference(rw,[status(thm)],[i_0_1310, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3003, plain, (esk286_2(X1,X2)=esk285_2(X1,X2)|empty(X1)|in(X4,esk294_3(X1,X2,X3))|in(esk299_7(X1,X2,X3,X4,X5,X6,X7),X7)|X5!=X7|X4!=X8|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~relation(X2)|~in(X6,X7)|~in(X5,X1)|~in(X8,cartesian_product2(X1,X3))), inference(rw,[status(thm)],[i_0_1311, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3004, lemma, (empty(X1)|in(X4,esk422_3(X1,X2,X3))|in(esk426_7(X1,X2,X3,X4,X5,X6,X7),X7)|X5!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~relation(X2)|~in(X6,X7)|~in(X5,X1)|~in(X4,cartesian_product2(X1,X3))), inference(rw,[status(thm)],[i_0_1312, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3005, plain, (in(unordered_pair(unordered_pair(esk137_5(X1,X2,X3,X4,X5),X5),unordered_pair(esk137_5(X1,X2,X3,X4,X5),esk137_5(X1,X2,X3,X4,X5))),X2)|X3!=relation_composition(X1,X2)|~relation(X3)|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1313, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3006, plain, (in(unordered_pair(unordered_pair(apply(X1,esk398_3(X2,X3,X1)),apply(X1,esk399_3(X2,X3,X1))),unordered_pair(apply(X1,esk398_3(X2,X3,X1)),apply(X1,esk398_3(X2,X3,X1)))),X3)|in(unordered_pair(unordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk403_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk402_4(X2,X3,X1,X4)))),X3)|~function(X1)|~relation(X3)|~relation(X1)|~in(X4,esk400_3(X2,X3,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1314, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3007, plain, (in(unordered_pair(unordered_pair(apply(X1,esk396_3(X2,X3,X1)),apply(X1,esk397_3(X2,X3,X1))),unordered_pair(apply(X1,esk396_3(X2,X3,X1)),apply(X1,esk396_3(X2,X3,X1)))),X3)|in(unordered_pair(unordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk403_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk402_4(X2,X3,X1,X4)))),X3)|~function(X1)|~relation(X3)|~relation(X1)|~in(X4,esk400_3(X2,X3,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1315, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3008, plain, (unordered_pair(unordered_pair(esk368_2(X2,X3),esk369_2(X2,X3)),unordered_pair(esk368_2(X2,X3),esk368_2(X2,X3)))=esk365_2(X2,X3)|in(X5,esk370_3(X2,X3,X4))|X5!=X7|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1316, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3009, plain, (unordered_pair(unordered_pair(esk366_2(X2,X3),esk367_2(X2,X3)),unordered_pair(esk366_2(X2,X3),esk366_2(X2,X3)))=esk364_2(X2,X3)|in(X5,esk370_3(X2,X3,X4))|X5!=X7|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1317, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3010, plain, (esk369_2(X2,X3)=subset_complement(the_carrier(X2),X8)|in(X5,esk370_3(X2,X3,X4))|X5!=X7|X8!=esk368_2(X2,X3)|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~element(X8,powerset(the_carrier(X2)))|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))), inference(rw,[status(thm)],[i_0_1318, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3011, plain, (esk367_2(X2,X3)=subset_complement(the_carrier(X2),X8)|in(X5,esk370_3(X2,X3,X4))|X5!=X7|X8!=esk366_2(X2,X3)|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~element(X8,powerset(the_carrier(X2)))|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))), inference(rw,[status(thm)],[i_0_1319, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3012, plain, (unordered_pair(unordered_pair(esk386_2(X2,X3),esk387_2(X2,X3)),unordered_pair(esk386_2(X2,X3),esk386_2(X2,X3)))=esk383_2(X2,X3)|in(X5,esk388_3(X2,X3,X4))|X5!=X7|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1320, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3013, plain, (unordered_pair(unordered_pair(esk384_2(X2,X3),esk385_2(X2,X3)),unordered_pair(esk384_2(X2,X3),esk384_2(X2,X3)))=esk382_2(X2,X3)|in(X5,esk388_3(X2,X3,X4))|X5!=X7|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1321, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3014, plain, (in(X5,esk370_3(X2,X3,X4))|in(esk368_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|X5!=X7|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))), inference(rw,[status(thm)],[i_0_1322, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3015, plain, (in(X5,esk370_3(X2,X3,X4))|in(esk366_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|X5!=X7|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))), inference(rw,[status(thm)],[i_0_1323, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3016, plain, (in(X5,esk370_3(X2,X3,X4))|X5!=X7|esk365_2(X2,X3)!=esk364_2(X2,X3)|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))), inference(rw,[status(thm)],[i_0_1324, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3017, plain, (esk365_2(X2,X3)=esk363_2(X2,X3)|in(X5,esk370_3(X2,X3,X4))|X5!=X7|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))), inference(rw,[status(thm)],[i_0_1325, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3018, plain, (esk364_2(X2,X3)=esk363_2(X2,X3)|in(X5,esk370_3(X2,X3,X4))|X5!=X7|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk374_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))), inference(rw,[status(thm)],[i_0_1326, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3019, lemma, (in(X5,esk443_3(X2,X3,X4))|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk446_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))|~in(X5,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))), inference(rw,[status(thm)],[i_0_1327, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3020, plain, (esk387_2(X2,X3)=subset_complement(the_carrier(X2),X8)|in(X5,esk388_3(X2,X3,X4))|X5!=X7|X8!=esk386_2(X2,X3)|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|~element(X8,powerset(the_carrier(X2)))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1328, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3021, plain, (esk385_2(X2,X3)=subset_complement(the_carrier(X2),X8)|in(X5,esk388_3(X2,X3,X4))|X5!=X7|X8!=esk384_2(X2,X3)|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|~element(X8,powerset(the_carrier(X2)))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1329, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3022, plain, (in(X5,esk388_3(X2,X3,X4))|X5!=X7|esk383_2(X2,X3)!=esk382_2(X2,X3)|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1330, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3023, plain, (in(esk386_2(X2,X3),X3)|in(X5,esk388_3(X2,X3,X4))|X5!=X7|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1331, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3024, plain, (in(esk384_2(X2,X3),X3)|in(X5,esk388_3(X2,X3,X4))|X5!=X7|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1332, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3025, plain, (esk383_2(X2,X3)=esk381_2(X2,X3)|in(X5,esk388_3(X2,X3,X4))|X5!=X7|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1333, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3026, plain, (esk382_2(X2,X3)=esk381_2(X2,X3)|in(X5,esk388_3(X2,X3,X4))|X5!=X7|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk392_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,X3)|~in(X7,cartesian_product2(X3,X4))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1334, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3027, lemma, (in(X5,esk447_3(X2,X3,X4))|unordered_pair(unordered_pair(X6,X1),unordered_pair(X6,X6))!=X5|X1!=subset_complement(the_carrier(X2),esk450_6(X2,X3,X4,X5,X6,X1))|~one_sorted_str(X2)|~in(X6,X3)|~in(X5,cartesian_product2(X3,X4))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1335, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3028, plain, (esk395_3(X2,X3,X1)=unordered_pair(unordered_pair(esk398_3(X2,X3,X1),esk399_3(X2,X3,X1)),unordered_pair(esk398_3(X2,X3,X1),esk398_3(X2,X3,X1)))|in(unordered_pair(unordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk403_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk402_4(X2,X3,X1,X4)))),X3)|~function(X1)|~relation(X3)|~relation(X1)|~in(X4,esk400_3(X2,X3,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1336, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3029, plain, (esk394_3(X2,X3,X1)=unordered_pair(unordered_pair(esk396_3(X2,X3,X1),esk397_3(X2,X3,X1)),unordered_pair(esk396_3(X2,X3,X1),esk396_3(X2,X3,X1)))|in(unordered_pair(unordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk403_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk402_4(X2,X3,X1,X4)))),X3)|~function(X1)|~relation(X3)|~relation(X1)|~in(X4,esk400_3(X2,X3,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1337, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3030, plain, (in(unordered_pair(unordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk403_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk402_4(X2,X3,X1,X4)))),X3)|esk395_3(X2,X3,X1)!=esk394_3(X2,X3,X1)|~function(X1)|~relation(X3)|~relation(X1)|~in(X4,esk400_3(X2,X3,X1))), inference(rw,[status(thm)],[i_0_1338, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3031, plain, (esk395_3(X2,X3,X1)=esk393_3(X2,X3,X1)|in(unordered_pair(unordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk403_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk402_4(X2,X3,X1,X4)))),X3)|~function(X1)|~relation(X3)|~relation(X1)|~in(X4,esk400_3(X2,X3,X1))), inference(rw,[status(thm)],[i_0_1339, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3032, plain, (esk394_3(X2,X3,X1)=esk393_3(X2,X3,X1)|in(unordered_pair(unordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk403_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk402_4(X2,X3,X1,X4)),apply(X1,esk402_4(X2,X3,X1,X4)))),X3)|~function(X1)|~relation(X3)|~relation(X1)|~in(X4,esk400_3(X2,X3,X1))), inference(rw,[status(thm)],[i_0_1340, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3033, lemma, (in(unordered_pair(unordered_pair(apply(X1,esk452_4(X2,X3,X1,X4)),apply(X1,esk453_4(X2,X3,X1,X4))),unordered_pair(apply(X1,esk452_4(X2,X3,X1,X4)),apply(X1,esk452_4(X2,X3,X1,X4)))),X3)|~function(X1)|~relation(X3)|~relation(X1)|~in(X4,esk451_3(X2,X3,X1))), inference(rw,[status(thm)],[i_0_1341, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3034, lemma, (empty(X2)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))|in(unordered_pair(unordered_pair(esk249_2(X2,X3),X6),unordered_pair(esk249_2(X2,X3),esk249_2(X2,X3))),X3)|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(X6,esk251_2(X2,X3))|~in(unordered_pair(unordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1342, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3035, lemma, (empty(X2)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))|in(unordered_pair(unordered_pair(esk248_2(X2,X3),X6),unordered_pair(esk248_2(X2,X3),esk248_2(X2,X3))),X3)|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(X6,esk250_2(X2,X3))|~in(unordered_pair(unordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1343, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3036, plain, (empty(X2)|in(X1,esk281_2(X2,X3))|in(unordered_pair(unordered_pair(esk278_2(X2,X3),X6),unordered_pair(esk278_2(X2,X3),esk278_2(X2,X3))),X3)|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(X6,esk280_2(X2,X3))|~in(unordered_pair(unordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1344, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3037, plain, (empty(X2)|in(X1,esk281_2(X2,X3))|in(unordered_pair(unordered_pair(esk277_2(X2,X3),X6),unordered_pair(esk277_2(X2,X3),esk277_2(X2,X3))),X3)|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(X6,esk279_2(X2,X3))|~in(unordered_pair(unordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1345, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3038, lemma, (empty(X2)|in(esk249_2(X2,X3),esk251_2(X2,X3))|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(unordered_pair(unordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1346, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3039, lemma, (empty(X2)|in(esk248_2(X2,X3),esk250_2(X2,X3))|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(unordered_pair(unordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1347, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3040, lemma, (empty(X2)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))|X4!=X5|esk249_2(X2,X3)!=esk248_2(X2,X3)|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(unordered_pair(unordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1348, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3041, lemma, (empty(X2)|in(esk247_2(X2,X3),X2)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(unordered_pair(unordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1349, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3042, lemma, (empty(X2)|in(esk247_2(X2,X3),X2)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(unordered_pair(unordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1350, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3043, lemma, (esk251_2(X2,X3)=esk247_2(X2,X3)|empty(X2)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(unordered_pair(unordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1351, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3044, lemma, (esk250_2(X2,X3)=esk247_2(X2,X3)|empty(X2)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(unordered_pair(unordered_pair(X1,esk254_5(X2,X3,X4,X1,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1352, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3045, plain, (empty(X2)|in(X1,esk281_2(X2,X3))|in(esk278_2(X2,X3),esk280_2(X2,X3))|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(unordered_pair(unordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[i_0_1353, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3046, plain, (empty(X2)|in(X1,esk281_2(X2,X3))|in(esk277_2(X2,X3),esk279_2(X2,X3))|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(unordered_pair(unordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[i_0_1354, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3047, plain, (empty(X2)|in(X1,esk281_2(X2,X3))|X4!=X5|esk278_2(X2,X3)!=esk277_2(X2,X3)|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(unordered_pair(unordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[i_0_1355, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3048, plain, (empty(X2)|in(X1,esk281_2(X2,X3))|in(esk276_2(X2,X3),X2)|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(unordered_pair(unordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[i_0_1356, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3049, plain, (empty(X2)|in(X1,esk281_2(X2,X3))|in(esk276_2(X2,X3),X2)|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(unordered_pair(unordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[i_0_1357, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3050, plain, (esk280_2(X2,X3)=esk276_2(X2,X3)|empty(X2)|in(X1,esk281_2(X2,X3))|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(unordered_pair(unordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[i_0_1358, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3051, plain, (esk279_2(X2,X3)=esk276_2(X2,X3)|empty(X2)|in(X1,esk281_2(X2,X3))|X4!=X5|~relation(X3)|~in(X4,X2)|~in(X1,X5)|~in(unordered_pair(unordered_pair(X1,esk284_5(X2,X3,X1,X4,X5)),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[i_0_1359, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3052, plain, (unordered_pair(unordered_pair(esk368_2(X1,X2),esk369_2(X1,X2)),unordered_pair(esk368_2(X1,X2),esk368_2(X1,X2)))=esk365_2(X1,X2)|in(X4,esk370_3(X1,X2,X3))|element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1360, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3053, plain, (unordered_pair(unordered_pair(esk366_2(X1,X2),esk367_2(X1,X2)),unordered_pair(esk366_2(X1,X2),esk366_2(X1,X2)))=esk364_2(X1,X2)|in(X4,esk370_3(X1,X2,X3))|element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1361, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3054, plain, (esk369_2(X1,X2)=subset_complement(the_carrier(X1),X8)|in(X4,esk370_3(X1,X2,X3))|element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|X8!=esk368_2(X1,X2)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~element(X8,powerset(the_carrier(X1)))|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1362, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3055, plain, (esk367_2(X1,X2)=subset_complement(the_carrier(X1),X8)|in(X4,esk370_3(X1,X2,X3))|element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|X8!=esk366_2(X1,X2)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~element(X8,powerset(the_carrier(X1)))|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1363, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3056, plain, (unordered_pair(unordered_pair(esk386_2(X1,X2),esk387_2(X1,X2)),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2)))=esk383_2(X1,X2)|in(X4,esk388_3(X1,X2,X3))|element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1364, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3057, plain, (unordered_pair(unordered_pair(esk384_2(X1,X2),esk385_2(X1,X2)),unordered_pair(esk384_2(X1,X2),esk384_2(X1,X2)))=esk382_2(X1,X2)|in(X4,esk388_3(X1,X2,X3))|element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1365, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3058, plain, (in(X4,esk370_3(X1,X2,X3))|in(esk368_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1366, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3059, plain, (in(X4,esk370_3(X1,X2,X3))|in(esk366_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1367, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3060, plain, (in(X4,esk370_3(X1,X2,X3))|element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|esk365_2(X1,X2)!=esk364_2(X1,X2)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1368, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3061, plain, (esk365_2(X1,X2)=esk363_2(X1,X2)|in(X4,esk370_3(X1,X2,X3))|element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1369, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3062, plain, (esk364_2(X1,X2)=esk363_2(X1,X2)|in(X4,esk370_3(X1,X2,X3))|element(esk374_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1370, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3063, lemma, (in(X4,esk443_3(X1,X2,X3))|element(esk446_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1371, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3064, plain, (esk387_2(X1,X2)=subset_complement(the_carrier(X1),X8)|in(X4,esk388_3(X1,X2,X3))|element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|X8!=esk386_2(X1,X2)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X8,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1372, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3065, plain, (esk385_2(X1,X2)=subset_complement(the_carrier(X1),X8)|in(X4,esk388_3(X1,X2,X3))|element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|X8!=esk384_2(X1,X2)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X8,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1373, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3066, plain, (in(X4,esk388_3(X1,X2,X3))|element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|esk383_2(X1,X2)!=esk382_2(X1,X2)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1374, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3067, plain, (in(esk386_2(X1,X2),X2)|in(X4,esk388_3(X1,X2,X3))|element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1375, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3068, plain, (in(esk384_2(X1,X2),X2)|in(X4,esk388_3(X1,X2,X3))|element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1376, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3069, plain, (esk383_2(X1,X2)=esk381_2(X1,X2)|in(X4,esk388_3(X1,X2,X3))|element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1377, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3070, plain, (esk382_2(X1,X2)=esk381_2(X1,X2)|in(X4,esk388_3(X1,X2,X3))|element(esk392_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1378, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3071, lemma, (in(X4,esk447_3(X1,X2,X3))|element(esk450_6(X1,X2,X3,X4,X5,X6),powerset(the_carrier(X1)))|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X4,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1379, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3072, plain, (empty(X1)|empty(X2)|element(apply_binary_as_element(X1,X2,X4,X3,X5,X6),X4)|~function(X3)|~quasi_total(X3,cartesian_product2(X1,X2),X4)|~relation_of2(X3,cartesian_product2(X1,X2),X4)|~element(X5,X1)|~element(X6,X2)), inference(split_conjunct,[status(thm)],[i_0_1380]), ['final']).
% 282.28/198.91 cnf(i_0_3073, plain, (subnet(X3,X2,X1)|empty_carrier(X3)|empty_carrier(X1)|empty_carrier(X2)|~related(X1,esk17_4(X2,X1,X3,X4),apply_on_set_and_struct(the_carrier(X3),X1,X4,esk18_5(X2,X1,X3,X4,X5)))|~element(X5,the_carrier(X3))|~function(X4)|~quasi_total(X4,the_carrier(X3),the_carrier(X1))|~relation_of2_as_subset(X4,the_carrier(X3),the_carrier(X1))|the_mapping(X2,X3)!=function_of_composition(the_carrier(X3),the_carrier(X1),the_carrier(X2),X4,the_mapping(X2,X1))|~transitive_relstr(X3)|~directed_relstr(X3)|~net_str(X3,X2)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X2)|~one_sorted_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1381]), ['final']).
% 282.28/198.91 cnf(i_0_3074, plain, (in(unordered_pair(unordered_pair(X1,esk137_5(X2,X3,X4,X1,X5)),unordered_pair(X1,X1)),X2)|X4!=relation_composition(X2,X3)|~relation(X4)|~relation(X3)|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),X4)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1382, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3075, plain, (relation_isomorphism(X1,X2,X3)|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~function(X3)|~relation(X3)|~relation(X2)|~relation(X1)|~one_to_one(X3)|~in(esk126_3(X1,X2,X3),relation_field(X1))|~in(esk127_3(X1,X2,X3),relation_field(X1))|~in(unordered_pair(unordered_pair(esk126_3(X1,X2,X3),esk127_3(X1,X2,X3)),unordered_pair(esk126_3(X1,X2,X3),esk126_3(X1,X2,X3))),X1)|~in(unordered_pair(unordered_pair(apply(X3,esk126_3(X1,X2,X3)),apply(X3,esk127_3(X1,X2,X3))),unordered_pair(apply(X3,esk126_3(X1,X2,X3)),apply(X3,esk126_3(X1,X2,X3)))),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1383, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3076, plain, (X1=unordered_pair(unordered_pair(esk402_4(X2,X3,X4,X1),esk403_4(X2,X3,X4,X1)),unordered_pair(esk402_4(X2,X3,X4,X1),esk402_4(X2,X3,X4,X1)))|in(unordered_pair(unordered_pair(apply(X4,esk398_3(X2,X3,X4)),apply(X4,esk399_3(X2,X3,X4))),unordered_pair(apply(X4,esk398_3(X2,X3,X4)),apply(X4,esk398_3(X2,X3,X4)))),X3)|~function(X4)|~relation(X4)|~relation(X3)|~in(X1,esk400_3(X2,X3,X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1384, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3077, plain, (X1=unordered_pair(unordered_pair(esk402_4(X2,X3,X4,X1),esk403_4(X2,X3,X4,X1)),unordered_pair(esk402_4(X2,X3,X4,X1),esk402_4(X2,X3,X4,X1)))|in(unordered_pair(unordered_pair(apply(X4,esk396_3(X2,X3,X4)),apply(X4,esk397_3(X2,X3,X4))),unordered_pair(apply(X4,esk396_3(X2,X3,X4)),apply(X4,esk396_3(X2,X3,X4)))),X3)|~function(X4)|~relation(X4)|~relation(X3)|~in(X1,esk400_3(X2,X3,X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1385, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3078, plain, (empty(X2)|in(unordered_pair(unordered_pair(esk292_2(X2,X3),X6),unordered_pair(esk292_2(X2,X3),esk292_2(X2,X3))),X3)|in(unordered_pair(unordered_pair(esk297_4(X2,X3,X4,X5),X1),unordered_pair(esk297_4(X2,X3,X4,X5),esk297_4(X2,X3,X4,X5))),X3)|~relation(X3)|~in(X6,esk293_2(X2,X3))|~in(X5,esk294_3(X2,X3,X4))|~in(X1,esk298_4(X2,X3,X4,X5))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1386, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3079, plain, (empty(X2)|in(unordered_pair(unordered_pair(esk289_2(X2,X3),X6),unordered_pair(esk289_2(X2,X3),esk289_2(X2,X3))),X3)|in(unordered_pair(unordered_pair(esk297_4(X2,X3,X4,X5),X1),unordered_pair(esk297_4(X2,X3,X4,X5),esk297_4(X2,X3,X4,X5))),X3)|~relation(X3)|~in(X6,esk290_2(X2,X3))|~in(X5,esk294_3(X2,X3,X4))|~in(X1,esk298_4(X2,X3,X4,X5))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1387, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3080, plain, (unordered_pair(unordered_pair(esk291_2(X2,X3),esk292_2(X2,X3)),unordered_pair(esk291_2(X2,X3),esk291_2(X2,X3)))=esk287_2(X2,X3)|empty(X2)|in(unordered_pair(unordered_pair(esk297_4(X2,X3,X4,X5),X1),unordered_pair(esk297_4(X2,X3,X4,X5),esk297_4(X2,X3,X4,X5))),X3)|~relation(X3)|~in(X5,esk294_3(X2,X3,X4))|~in(X1,esk298_4(X2,X3,X4,X5))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1388, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3081, plain, (unordered_pair(unordered_pair(esk288_2(X2,X3),esk289_2(X2,X3)),unordered_pair(esk288_2(X2,X3),esk288_2(X2,X3)))=esk286_2(X2,X3)|empty(X2)|in(unordered_pair(unordered_pair(esk297_4(X2,X3,X4,X5),X1),unordered_pair(esk297_4(X2,X3,X4,X5),esk297_4(X2,X3,X4,X5))),X3)|~relation(X3)|~in(X5,esk294_3(X2,X3,X4))|~in(X1,esk298_4(X2,X3,X4,X5))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1389, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3082, plain, (empty(X2)|in(esk292_2(X2,X3),esk293_2(X2,X3))|in(unordered_pair(unordered_pair(esk297_4(X2,X3,X4,X5),X1),unordered_pair(esk297_4(X2,X3,X4,X5),esk297_4(X2,X3,X4,X5))),X3)|~relation(X3)|~in(X5,esk294_3(X2,X3,X4))|~in(X1,esk298_4(X2,X3,X4,X5))), inference(rw,[status(thm)],[i_0_1390, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3083, plain, (empty(X2)|in(esk289_2(X2,X3),esk290_2(X2,X3))|in(unordered_pair(unordered_pair(esk297_4(X2,X3,X4,X5),X1),unordered_pair(esk297_4(X2,X3,X4,X5),esk297_4(X2,X3,X4,X5))),X3)|~relation(X3)|~in(X5,esk294_3(X2,X3,X4))|~in(X1,esk298_4(X2,X3,X4,X5))), inference(rw,[status(thm)],[i_0_1391, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3084, plain, (empty(X2)|in(unordered_pair(unordered_pair(esk297_4(X2,X3,X4,X5),X1),unordered_pair(esk297_4(X2,X3,X4,X5),esk297_4(X2,X3,X4,X5))),X3)|esk287_2(X2,X3)!=esk286_2(X2,X3)|~relation(X3)|~in(X5,esk294_3(X2,X3,X4))|~in(X1,esk298_4(X2,X3,X4,X5))), inference(rw,[status(thm)],[i_0_1392, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3085, plain, (empty(X2)|in(esk291_2(X2,X3),X2)|in(unordered_pair(unordered_pair(esk297_4(X2,X3,X4,X5),X1),unordered_pair(esk297_4(X2,X3,X4,X5),esk297_4(X2,X3,X4,X5))),X3)|~relation(X3)|~in(X5,esk294_3(X2,X3,X4))|~in(X1,esk298_4(X2,X3,X4,X5))), inference(rw,[status(thm)],[i_0_1393, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3086, plain, (empty(X2)|in(esk288_2(X2,X3),X2)|in(unordered_pair(unordered_pair(esk297_4(X2,X3,X4,X5),X1),unordered_pair(esk297_4(X2,X3,X4,X5),esk297_4(X2,X3,X4,X5))),X3)|~relation(X3)|~in(X5,esk294_3(X2,X3,X4))|~in(X1,esk298_4(X2,X3,X4,X5))), inference(rw,[status(thm)],[i_0_1394, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3087, plain, (esk293_2(X2,X3)=esk291_2(X2,X3)|empty(X2)|in(unordered_pair(unordered_pair(esk297_4(X2,X3,X4,X5),X1),unordered_pair(esk297_4(X2,X3,X4,X5),esk297_4(X2,X3,X4,X5))),X3)|~relation(X3)|~in(X5,esk294_3(X2,X3,X4))|~in(X1,esk298_4(X2,X3,X4,X5))), inference(rw,[status(thm)],[i_0_1395, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3088, plain, (esk290_2(X2,X3)=esk288_2(X2,X3)|empty(X2)|in(unordered_pair(unordered_pair(esk297_4(X2,X3,X4,X5),X1),unordered_pair(esk297_4(X2,X3,X4,X5),esk297_4(X2,X3,X4,X5))),X3)|~relation(X3)|~in(X5,esk294_3(X2,X3,X4))|~in(X1,esk298_4(X2,X3,X4,X5))), inference(rw,[status(thm)],[i_0_1396, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3089, plain, (esk287_2(X2,X3)=esk285_2(X2,X3)|empty(X2)|in(unordered_pair(unordered_pair(esk297_4(X2,X3,X4,X5),X1),unordered_pair(esk297_4(X2,X3,X4,X5),esk297_4(X2,X3,X4,X5))),X3)|~relation(X3)|~in(X5,esk294_3(X2,X3,X4))|~in(X1,esk298_4(X2,X3,X4,X5))), inference(rw,[status(thm)],[i_0_1397, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3090, plain, (esk286_2(X2,X3)=esk285_2(X2,X3)|empty(X2)|in(unordered_pair(unordered_pair(esk297_4(X2,X3,X4,X5),X1),unordered_pair(esk297_4(X2,X3,X4,X5),esk297_4(X2,X3,X4,X5))),X3)|~relation(X3)|~in(X5,esk294_3(X2,X3,X4))|~in(X1,esk298_4(X2,X3,X4,X5))), inference(rw,[status(thm)],[i_0_1398, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3091, lemma, (empty(X2)|in(unordered_pair(unordered_pair(esk424_4(X2,X3,X4,X5),X1),unordered_pair(esk424_4(X2,X3,X4,X5),esk424_4(X2,X3,X4,X5))),X3)|~relation(X3)|~in(X5,esk422_3(X2,X3,X4))|~in(X1,esk425_4(X2,X3,X4,X5))), inference(rw,[status(thm)],[i_0_1399, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3092, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|unordered_pair(unordered_pair(esk368_2(X1,X2),esk369_2(X1,X2)),unordered_pair(esk368_2(X1,X2),esk368_2(X1,X2)))=esk365_2(X1,X2)|in(X4,esk370_3(X1,X2,X3))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1400, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3093, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|unordered_pair(unordered_pair(esk366_2(X1,X2),esk367_2(X1,X2)),unordered_pair(esk366_2(X1,X2),esk366_2(X1,X2)))=esk364_2(X1,X2)|in(X4,esk370_3(X1,X2,X3))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1401, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3094, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|esk369_2(X1,X2)=subset_complement(the_carrier(X1),X8)|in(X4,esk370_3(X1,X2,X3))|X4!=X7|X8!=esk368_2(X1,X2)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~element(X8,powerset(the_carrier(X1)))|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1402, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3095, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|esk367_2(X1,X2)=subset_complement(the_carrier(X1),X8)|in(X4,esk370_3(X1,X2,X3))|X4!=X7|X8!=esk366_2(X1,X2)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~element(X8,powerset(the_carrier(X1)))|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1403, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3096, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|unordered_pair(unordered_pair(esk386_2(X1,X2),esk387_2(X1,X2)),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2)))=esk383_2(X1,X2)|in(X4,esk388_3(X1,X2,X3))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1404, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3097, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|unordered_pair(unordered_pair(esk384_2(X1,X2),esk385_2(X1,X2)),unordered_pair(esk384_2(X1,X2),esk384_2(X1,X2)))=esk382_2(X1,X2)|in(X4,esk388_3(X1,X2,X3))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1405, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3098, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk370_3(X1,X2,X3))|in(esk368_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1406, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3099, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk370_3(X1,X2,X3))|in(esk366_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1407, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3100, plain, (esk374_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk370_3(X1,X2,X3))|X4!=X7|esk365_2(X1,X2)!=esk364_2(X1,X2)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1408, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3101, plain, (esk365_2(X1,X2)=esk363_2(X1,X2)|esk374_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk370_3(X1,X2,X3))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1409, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3102, plain, (esk364_2(X1,X2)=esk363_2(X1,X2)|esk374_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk370_3(X1,X2,X3))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X7,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1410, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3103, lemma, (esk446_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk443_3(X1,X2,X3))|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~in(X4,cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))), inference(rw,[status(thm)],[i_0_1411, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3104, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|esk387_2(X1,X2)=subset_complement(the_carrier(X1),X8)|in(X4,esk388_3(X1,X2,X3))|X4!=X7|X8!=esk386_2(X1,X2)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X8,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1412, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3105, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|esk385_2(X1,X2)=subset_complement(the_carrier(X1),X8)|in(X4,esk388_3(X1,X2,X3))|X4!=X7|X8!=esk384_2(X1,X2)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X8,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1413, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3106, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk388_3(X1,X2,X3))|X4!=X7|esk383_2(X1,X2)!=esk382_2(X1,X2)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1414, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3107, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|in(esk386_2(X1,X2),X2)|in(X4,esk388_3(X1,X2,X3))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1415, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3108, plain, (esk392_6(X1,X2,X3,X4,X5,X6)=X5|in(esk384_2(X1,X2),X2)|in(X4,esk388_3(X1,X2,X3))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1416, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3109, plain, (esk383_2(X1,X2)=esk381_2(X1,X2)|esk392_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk388_3(X1,X2,X3))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1417, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3110, plain, (esk382_2(X1,X2)=esk381_2(X1,X2)|esk392_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk388_3(X1,X2,X3))|X4!=X7|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X7,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1418, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3111, lemma, (esk450_6(X1,X2,X3,X4,X5,X6)=X5|in(X4,esk447_3(X1,X2,X3))|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~one_sorted_str(X1)|~in(X5,X2)|~in(X4,cartesian_product2(X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1419, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3112, plain, (empty(X1)|empty(X2)|apply_binary_as_element(X1,X2,X4,X3,X5,X6)=apply_binary(X3,X5,X6)|~function(X3)|~quasi_total(X3,cartesian_product2(X1,X2),X4)|~relation_of2(X3,cartesian_product2(X1,X2),X4)|~element(X5,X1)|~element(X6,X2)), inference(split_conjunct,[status(thm)],[i_0_1420]), ['final']).
% 282.28/198.91 cnf(i_0_3113, lemma, (in(unordered_pair(unordered_pair(esk513_4(X1,X2,X3,X4),X4),unordered_pair(esk513_4(X1,X2,X3,X4),esk513_4(X1,X2,X3,X4))),X3)|relation_rng_as_subset(X1,X2,X3)!=X2|~in(X4,X2)|~relation_of2_as_subset(X3,X1,X2)), inference(rw,[status(thm)],[i_0_1421, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3114, plain, (empty_carrier(X1)|join(X1,X2,X3)=apply_binary_as_element(the_carrier(X1),the_carrier(X1),the_carrier(X1),the_L_join(X1),X2,X3)|~join_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_1422]), ['final']).
% 282.28/198.91 cnf(i_0_3115, plain, (empty_carrier(X1)|meet(X1,X2,X3)=apply_binary_as_element(the_carrier(X1),the_carrier(X1),the_carrier(X1),the_L_meet(X1),X2,X3)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_1423]), ['final']).
% 282.28/198.91 cnf(i_0_3116, plain, (in(unordered_pair(unordered_pair(esk25_4(X1,X2,X3,X4),X4),unordered_pair(esk25_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4))),X1)|X3!=relation_image(X1,X2)|~relation(X1)|~in(X4,X3)), inference(rw,[status(thm)],[i_0_1424, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3117, plain, (X3=relation_composition(X1,X2)|~relation(X3)|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(X4,esk139_3(X1,X2,X3)),unordered_pair(X4,X4)),X2)|~in(unordered_pair(unordered_pair(esk138_3(X1,X2,X3),X4),unordered_pair(esk138_3(X1,X2,X3),esk138_3(X1,X2,X3))),X1)|~in(unordered_pair(unordered_pair(esk138_3(X1,X2,X3),esk139_3(X1,X2,X3)),unordered_pair(esk138_3(X1,X2,X3),esk138_3(X1,X2,X3))),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1425, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3118, plain, (X3=relation_rng_restriction(X1,X2)|~relation(X3)|~relation(X2)|~in(esk12_3(X1,X2,X3),X1)|~in(unordered_pair(unordered_pair(esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)),unordered_pair(esk11_3(X1,X2,X3),esk11_3(X1,X2,X3))),X3)|~in(unordered_pair(unordered_pair(esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)),unordered_pair(esk11_3(X1,X2,X3),esk11_3(X1,X2,X3))),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1426, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3119, plain, (X3=relation_dom_restriction(X1,X2)|~relation(X3)|~relation(X1)|~in(esk4_3(X1,X2,X3),X2)|~in(unordered_pair(unordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),unordered_pair(esk4_3(X1,X2,X3),esk4_3(X1,X2,X3))),X3)|~in(unordered_pair(unordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),unordered_pair(esk4_3(X1,X2,X3),esk4_3(X1,X2,X3))),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1427, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3120, plain, (relation_isomorphism(X2,X3,X1)|in(unordered_pair(unordered_pair(esk126_3(X2,X3,X1),esk127_3(X2,X3,X1)),unordered_pair(esk126_3(X2,X3,X1),esk126_3(X2,X3,X1))),X2)|in(unordered_pair(unordered_pair(apply(X1,esk126_3(X2,X3,X1)),apply(X1,esk127_3(X2,X3,X1))),unordered_pair(apply(X1,esk126_3(X2,X3,X1)),apply(X1,esk126_3(X2,X3,X1)))),X3)|relation_field(X2)!=relation_dom(X1)|relation_rng(X1)!=relation_field(X3)|~function(X1)|~relation(X3)|~relation(X2)|~relation(X1)|~one_to_one(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1428, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3121, plain, (X1=unordered_pair(unordered_pair(esk402_4(X2,X3,X4,X1),esk403_4(X2,X3,X4,X1)),unordered_pair(esk402_4(X2,X3,X4,X1),esk402_4(X2,X3,X4,X1)))|esk395_3(X2,X3,X4)=unordered_pair(unordered_pair(esk398_3(X2,X3,X4),esk399_3(X2,X3,X4)),unordered_pair(esk398_3(X2,X3,X4),esk398_3(X2,X3,X4)))|~function(X4)|~relation(X4)|~relation(X3)|~in(X1,esk400_3(X2,X3,X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1429, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3122, plain, (X1=unordered_pair(unordered_pair(esk402_4(X2,X3,X4,X1),esk403_4(X2,X3,X4,X1)),unordered_pair(esk402_4(X2,X3,X4,X1),esk402_4(X2,X3,X4,X1)))|esk394_3(X2,X3,X4)=unordered_pair(unordered_pair(esk396_3(X2,X3,X4),esk397_3(X2,X3,X4)),unordered_pair(esk396_3(X2,X3,X4),esk396_3(X2,X3,X4)))|~function(X4)|~relation(X4)|~relation(X3)|~in(X1,esk400_3(X2,X3,X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1430, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3123, lemma, (empty(X2)|in(unordered_pair(unordered_pair(esk464_2(X2,X3),X7),unordered_pair(esk464_2(X2,X3),esk464_2(X2,X3))),X3)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X7,esk466_2(X2,X3))|~in(X1,esk470_3(X2,X3,X4))|~in(unordered_pair(unordered_pair(X5,esk468_4(X2,X3,X5,X6)),unordered_pair(X5,X5)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1431, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3124, lemma, (empty(X2)|in(unordered_pair(unordered_pair(esk463_2(X2,X3),X7),unordered_pair(esk463_2(X2,X3),esk463_2(X2,X3))),X3)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X7,esk465_2(X2,X3))|~in(X1,esk470_3(X2,X3,X4))|~in(unordered_pair(unordered_pair(X5,esk468_4(X2,X3,X5,X6)),unordered_pair(X5,X5)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1432, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3125, plain, (in(X3,esk400_3(X2,X7,X6))|in(unordered_pair(unordered_pair(apply(X6,esk398_3(X2,X7,X6)),apply(X6,esk399_3(X2,X7,X6))),unordered_pair(apply(X6,esk398_3(X2,X7,X6)),apply(X6,esk398_3(X2,X7,X6)))),X7)|X1!=X3|X3!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~function(X6)|~relation(X7)|~relation(X6)|~in(X1,cartesian_product2(X2,X2))|~in(unordered_pair(unordered_pair(apply(X6,X4),apply(X6,X5)),unordered_pair(apply(X6,X4),apply(X6,X4))),X7)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1433, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3126, plain, (in(X3,esk400_3(X2,X7,X6))|in(unordered_pair(unordered_pair(apply(X6,esk396_3(X2,X7,X6)),apply(X6,esk397_3(X2,X7,X6))),unordered_pair(apply(X6,esk396_3(X2,X7,X6)),apply(X6,esk396_3(X2,X7,X6)))),X7)|X1!=X3|X3!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~function(X6)|~relation(X7)|~relation(X6)|~in(X1,cartesian_product2(X2,X2))|~in(unordered_pair(unordered_pair(apply(X6,X4),apply(X6,X5)),unordered_pair(apply(X6,X4),apply(X6,X4))),X7)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1434, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3127, plain, (related(X1,X2,esk18_5(X3,X4,X1,X5,X2))|subnet(X1,X3,X4)|empty_carrier(X1)|empty_carrier(X4)|empty_carrier(X3)|~element(X2,the_carrier(X1))|~function(X5)|~quasi_total(X5,the_carrier(X1),the_carrier(X4))|~relation_of2_as_subset(X5,the_carrier(X1),the_carrier(X4))|the_mapping(X3,X1)!=function_of_composition(the_carrier(X1),the_carrier(X4),the_carrier(X3),X5,the_mapping(X3,X4))|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X3)|~transitive_relstr(X4)|~directed_relstr(X4)|~net_str(X4,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1381]), ['final']).
% 282.28/198.91 cnf(i_0_3128, plain, (element(esk18_5(X1,X2,X3,X4,X5),the_carrier(X3))|subnet(X3,X1,X2)|empty_carrier(X3)|empty_carrier(X2)|empty_carrier(X1)|~element(X5,the_carrier(X3))|~function(X4)|~quasi_total(X4,the_carrier(X3),the_carrier(X2))|~relation_of2_as_subset(X4,the_carrier(X3),the_carrier(X2))|the_mapping(X1,X3)!=function_of_composition(the_carrier(X3),the_carrier(X2),the_carrier(X1),X4,the_mapping(X1,X2))|~transitive_relstr(X3)|~directed_relstr(X3)|~net_str(X3,X1)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1381]), ['final']).
% 282.28/198.91 cnf(i_0_3129, lemma, (empty(X2)|in(esk464_2(X2,X3),esk466_2(X2,X3))|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))|~in(unordered_pair(unordered_pair(X5,esk468_4(X2,X3,X5,X6)),unordered_pair(X5,X5)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1435, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3130, lemma, (empty(X2)|in(esk463_2(X2,X3),esk465_2(X2,X3))|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))|~in(unordered_pair(unordered_pair(X5,esk468_4(X2,X3,X5,X6)),unordered_pair(X5,X5)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1436, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3131, plain, (unordered_pair(unordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4)),unordered_pair(esk296_4(X1,X2,X3,X4),esk296_4(X1,X2,X3,X4)))=X4|empty(X1)|in(unordered_pair(unordered_pair(esk292_2(X1,X2),X5),unordered_pair(esk292_2(X1,X2),esk292_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk293_2(X1,X2))|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1437, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3132, plain, (unordered_pair(unordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4)),unordered_pair(esk296_4(X1,X2,X3,X4),esk296_4(X1,X2,X3,X4)))=X4|empty(X1)|in(unordered_pair(unordered_pair(esk289_2(X1,X2),X5),unordered_pair(esk289_2(X1,X2),esk289_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk290_2(X1,X2))|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1438, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3133, plain, (in(esk401_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|in(unordered_pair(unordered_pair(apply(X3,esk398_3(X1,X2,X3)),apply(X3,esk399_3(X1,X2,X3))),unordered_pair(apply(X3,esk398_3(X1,X2,X3)),apply(X3,esk398_3(X1,X2,X3)))),X2)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk400_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1439, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3134, plain, (in(esk401_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|in(unordered_pair(unordered_pair(apply(X3,esk396_3(X1,X2,X3)),apply(X3,esk397_3(X1,X2,X3))),unordered_pair(apply(X3,esk396_3(X1,X2,X3)),apply(X3,esk396_3(X1,X2,X3)))),X2)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk400_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1440, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3135, lemma, (empty(X2)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|esk464_2(X2,X3)!=esk463_2(X2,X3)|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))|~in(unordered_pair(unordered_pair(X5,esk468_4(X2,X3,X5,X6)),unordered_pair(X5,X5)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1441, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3136, lemma, (empty(X2)|in(esk462_2(X2,X3),X2)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))|~in(unordered_pair(unordered_pair(X5,esk468_4(X2,X3,X5,X6)),unordered_pair(X5,X5)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1442, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3137, lemma, (esk466_2(X2,X3)=esk462_2(X2,X3)|empty(X2)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))|~in(unordered_pair(unordered_pair(X5,esk468_4(X2,X3,X5,X6)),unordered_pair(X5,X5)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1443, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3138, lemma, (esk465_2(X2,X3)=esk462_2(X2,X3)|empty(X2)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))|~in(unordered_pair(unordered_pair(X5,esk468_4(X2,X3,X5,X6)),unordered_pair(X5,X5)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1444, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3139, plain, (unordered_pair(unordered_pair(esk386_2(X1,X2),esk387_2(X1,X2)),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2)))=esk383_2(X1,X2)|unordered_pair(unordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4)),unordered_pair(esk390_4(X1,X2,X3,X4),esk390_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1445, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3140, plain, (unordered_pair(unordered_pair(esk384_2(X1,X2),esk385_2(X1,X2)),unordered_pair(esk384_2(X1,X2),esk384_2(X1,X2)))=esk382_2(X1,X2)|unordered_pair(unordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4)),unordered_pair(esk390_4(X1,X2,X3,X4),esk390_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1446, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3141, plain, (unordered_pair(unordered_pair(esk368_2(X1,X2),esk369_2(X1,X2)),unordered_pair(esk368_2(X1,X2),esk368_2(X1,X2)))=esk365_2(X1,X2)|unordered_pair(unordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4)),unordered_pair(esk372_4(X1,X2,X3,X4),esk372_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1447, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3142, plain, (unordered_pair(unordered_pair(esk366_2(X1,X2),esk367_2(X1,X2)),unordered_pair(esk366_2(X1,X2),esk366_2(X1,X2)))=esk364_2(X1,X2)|unordered_pair(unordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4)),unordered_pair(esk372_4(X1,X2,X3,X4),esk372_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1448, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3143, plain, (unordered_pair(unordered_pair(esk291_2(X1,X2),esk292_2(X1,X2)),unordered_pair(esk291_2(X1,X2),esk291_2(X1,X2)))=esk287_2(X1,X2)|unordered_pair(unordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4)),unordered_pair(esk296_4(X1,X2,X3,X4),esk296_4(X1,X2,X3,X4)))=X4|empty(X1)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1449, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3144, plain, (unordered_pair(unordered_pair(esk288_2(X1,X2),esk289_2(X1,X2)),unordered_pair(esk288_2(X1,X2),esk288_2(X1,X2)))=esk286_2(X1,X2)|unordered_pair(unordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4)),unordered_pair(esk296_4(X1,X2,X3,X4),esk296_4(X1,X2,X3,X4)))=X4|empty(X1)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1450, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3145, plain, (esk401_4(X1,X2,X3,X4)=X4|in(unordered_pair(unordered_pair(apply(X3,esk398_3(X1,X2,X3)),apply(X3,esk399_3(X1,X2,X3))),unordered_pair(apply(X3,esk398_3(X1,X2,X3)),apply(X3,esk398_3(X1,X2,X3)))),X2)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk400_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1451, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3146, plain, (esk401_4(X1,X2,X3,X4)=X4|in(unordered_pair(unordered_pair(apply(X3,esk396_3(X1,X2,X3)),apply(X3,esk397_3(X1,X2,X3))),unordered_pair(apply(X3,esk396_3(X1,X2,X3)),apply(X3,esk396_3(X1,X2,X3)))),X2)|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk400_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1452, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3147, plain, (esk387_2(X1,X2)=subset_complement(the_carrier(X1),X5)|unordered_pair(unordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4)),unordered_pair(esk390_4(X1,X2,X3,X4),esk390_4(X1,X2,X3,X4)))=X4|X5!=esk386_2(X1,X2)|~one_sorted_str(X1)|~element(X5,powerset(the_carrier(X1)))|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1453, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3148, plain, (esk385_2(X1,X2)=subset_complement(the_carrier(X1),X5)|unordered_pair(unordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4)),unordered_pair(esk390_4(X1,X2,X3,X4),esk390_4(X1,X2,X3,X4)))=X4|X5!=esk384_2(X1,X2)|~one_sorted_str(X1)|~element(X5,powerset(the_carrier(X1)))|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1454, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3149, plain, (esk369_2(X1,X2)=subset_complement(the_carrier(X1),X5)|unordered_pair(unordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4)),unordered_pair(esk372_4(X1,X2,X3,X4),esk372_4(X1,X2,X3,X4)))=X4|X5!=esk368_2(X1,X2)|~one_sorted_str(X1)|~element(X5,powerset(the_carrier(X1)))|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1455, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3150, plain, (esk367_2(X1,X2)=subset_complement(the_carrier(X1),X5)|unordered_pair(unordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4)),unordered_pair(esk372_4(X1,X2,X3,X4),esk372_4(X1,X2,X3,X4)))=X4|X5!=esk366_2(X1,X2)|~one_sorted_str(X1)|~element(X5,powerset(the_carrier(X1)))|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1456, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3151, plain, (X1=unordered_pair(unordered_pair(esk402_4(X2,X3,X4,X1),esk403_4(X2,X3,X4,X1)),unordered_pair(esk402_4(X2,X3,X4,X1),esk402_4(X2,X3,X4,X1)))|esk395_3(X2,X3,X4)!=esk394_3(X2,X3,X4)|~function(X4)|~relation(X4)|~relation(X3)|~in(X1,esk400_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1457, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3152, plain, (unordered_pair(unordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4)),unordered_pair(esk372_4(X1,X2,X3,X4),esk372_4(X1,X2,X3,X4)))=X4|in(esk368_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1458, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3153, plain, (unordered_pair(unordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4)),unordered_pair(esk372_4(X1,X2,X3,X4),esk372_4(X1,X2,X3,X4)))=X4|in(esk366_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1459, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3154, plain, (unordered_pair(unordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4)),unordered_pair(esk390_4(X1,X2,X3,X4),esk390_4(X1,X2,X3,X4)))=X4|esk383_2(X1,X2)!=esk382_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1460, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3155, plain, (unordered_pair(unordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4)),unordered_pair(esk372_4(X1,X2,X3,X4),esk372_4(X1,X2,X3,X4)))=X4|esk365_2(X1,X2)!=esk364_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1461, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3156, plain, (unordered_pair(unordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4)),unordered_pair(esk390_4(X1,X2,X3,X4),esk390_4(X1,X2,X3,X4)))=X4|in(esk386_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1462, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3157, plain, (unordered_pair(unordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4)),unordered_pair(esk390_4(X1,X2,X3,X4),esk390_4(X1,X2,X3,X4)))=X4|in(esk384_2(X1,X2),X2)|~one_sorted_str(X1)|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1463, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3158, plain, (esk395_3(X2,X3,X4)=esk393_3(X2,X3,X4)|X1=unordered_pair(unordered_pair(esk402_4(X2,X3,X4,X1),esk403_4(X2,X3,X4,X1)),unordered_pair(esk402_4(X2,X3,X4,X1),esk402_4(X2,X3,X4,X1)))|~function(X4)|~relation(X4)|~relation(X3)|~in(X1,esk400_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1464, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3159, plain, (esk394_3(X2,X3,X4)=esk393_3(X2,X3,X4)|X1=unordered_pair(unordered_pair(esk402_4(X2,X3,X4,X1),esk403_4(X2,X3,X4,X1)),unordered_pair(esk402_4(X2,X3,X4,X1),esk402_4(X2,X3,X4,X1)))|~function(X4)|~relation(X4)|~relation(X3)|~in(X1,esk400_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1465, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3160, plain, (esk383_2(X1,X2)=esk381_2(X1,X2)|unordered_pair(unordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4)),unordered_pair(esk390_4(X1,X2,X3,X4),esk390_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1466, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3161, plain, (esk382_2(X1,X2)=esk381_2(X1,X2)|unordered_pair(unordered_pair(esk390_4(X1,X2,X3,X4),esk391_4(X1,X2,X3,X4)),unordered_pair(esk390_4(X1,X2,X3,X4),esk390_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1467, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3162, plain, (esk365_2(X1,X2)=esk363_2(X1,X2)|unordered_pair(unordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4)),unordered_pair(esk372_4(X1,X2,X3,X4),esk372_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1468, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3163, plain, (esk364_2(X1,X2)=esk363_2(X1,X2)|unordered_pair(unordered_pair(esk372_4(X1,X2,X3,X4),esk373_4(X1,X2,X3,X4)),unordered_pair(esk372_4(X1,X2,X3,X4),esk372_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1469, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3164, lemma, (unordered_pair(unordered_pair(esk448_4(X1,X2,X3,X4),esk449_4(X1,X2,X3,X4)),unordered_pair(esk448_4(X1,X2,X3,X4),esk448_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~in(X4,esk447_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1470, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3165, lemma, (unordered_pair(unordered_pair(esk444_4(X1,X2,X3,X4),esk445_4(X1,X2,X3,X4)),unordered_pair(esk444_4(X1,X2,X3,X4),esk444_4(X1,X2,X3,X4)))=X4|~one_sorted_str(X1)|~in(X4,esk443_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1471, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3166, plain, (unordered_pair(unordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4)),unordered_pair(esk296_4(X1,X2,X3,X4),esk296_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk292_2(X1,X2),esk293_2(X1,X2))|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1472, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3167, plain, (unordered_pair(unordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4)),unordered_pair(esk296_4(X1,X2,X3,X4),esk296_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk289_2(X1,X2),esk290_2(X1,X2))|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1473, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3168, plain, (unordered_pair(unordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4)),unordered_pair(esk296_4(X1,X2,X3,X4),esk296_4(X1,X2,X3,X4)))=X4|empty(X1)|esk287_2(X1,X2)!=esk286_2(X1,X2)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1474, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3169, plain, (unordered_pair(unordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4)),unordered_pair(esk296_4(X1,X2,X3,X4),esk296_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk291_2(X1,X2),X1)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1475, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3170, plain, (unordered_pair(unordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4)),unordered_pair(esk296_4(X1,X2,X3,X4),esk296_4(X1,X2,X3,X4)))=X4|empty(X1)|in(esk288_2(X1,X2),X1)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1476, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3171, plain, (esk293_2(X1,X2)=esk291_2(X1,X2)|unordered_pair(unordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4)),unordered_pair(esk296_4(X1,X2,X3,X4),esk296_4(X1,X2,X3,X4)))=X4|empty(X1)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1477, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3172, plain, (esk290_2(X1,X2)=esk288_2(X1,X2)|unordered_pair(unordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4)),unordered_pair(esk296_4(X1,X2,X3,X4),esk296_4(X1,X2,X3,X4)))=X4|empty(X1)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1478, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3173, plain, (esk287_2(X1,X2)=esk285_2(X1,X2)|unordered_pair(unordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4)),unordered_pair(esk296_4(X1,X2,X3,X4),esk296_4(X1,X2,X3,X4)))=X4|empty(X1)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1479, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3174, plain, (esk286_2(X1,X2)=esk285_2(X1,X2)|unordered_pair(unordered_pair(esk296_4(X1,X2,X3,X4),esk297_4(X1,X2,X3,X4)),unordered_pair(esk296_4(X1,X2,X3,X4),esk296_4(X1,X2,X3,X4)))=X4|empty(X1)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1480, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3175, lemma, (X1=unordered_pair(unordered_pair(esk452_4(X2,X3,X4,X1),esk453_4(X2,X3,X4,X1)),unordered_pair(esk452_4(X2,X3,X4,X1),esk452_4(X2,X3,X4,X1)))|~function(X4)|~relation(X4)|~relation(X3)|~in(X1,esk451_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1481, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3176, lemma, (unordered_pair(unordered_pair(esk423_4(X1,X2,X3,X4),esk424_4(X1,X2,X3,X4)),unordered_pair(esk423_4(X1,X2,X3,X4),esk423_4(X1,X2,X3,X4)))=X4|empty(X1)|~relation(X2)|~in(X4,esk422_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1482, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3177, lemma, (empty(X1)|in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(unordered_pair(unordered_pair(esk464_2(X1,X2),X6),unordered_pair(esk464_2(X1,X2),esk464_2(X1,X2))),X2)|esk467_2(X1,X2)!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)|~in(X6,esk466_2(X1,X2))|~in(unordered_pair(unordered_pair(X4,esk468_4(X1,X2,X4,X5)),unordered_pair(X4,X4)),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1483, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3178, lemma, (empty(X1)|in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(unordered_pair(unordered_pair(esk463_2(X1,X2),X6),unordered_pair(esk463_2(X1,X2),esk463_2(X1,X2))),X2)|esk467_2(X1,X2)!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)|~in(X6,esk465_2(X1,X2))|~in(unordered_pair(unordered_pair(X4,esk468_4(X1,X2,X4,X5)),unordered_pair(X4,X4)),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1484, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3179, plain, (X1=unordered_pair(unordered_pair(esk83_4(X2,X3,X4,X1),esk84_4(X2,X3,X4,X1)),unordered_pair(esk83_4(X2,X3,X4,X1),esk83_4(X2,X3,X4,X1)))|X4!=cartesian_product2(X2,X3)|~in(X1,X4)), inference(rw,[status(thm)],[i_0_1485, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3180, lemma, (X1=esk470_3(X2,X3,X1)|empty(X2)|in(unordered_pair(unordered_pair(esk464_2(X2,X3),X6),unordered_pair(esk464_2(X2,X3),esk464_2(X2,X3))),X3)|esk467_2(X2,X3)!=X5|~relation(X3)|~in(X4,X5)|~in(X1,X2)|~in(X6,esk466_2(X2,X3))|~in(unordered_pair(unordered_pair(X4,esk468_4(X2,X3,X4,X5)),unordered_pair(X4,X4)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1486, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3181, lemma, (X1=esk470_3(X2,X3,X1)|empty(X2)|in(unordered_pair(unordered_pair(esk463_2(X2,X3),X6),unordered_pair(esk463_2(X2,X3),esk463_2(X2,X3))),X3)|esk467_2(X2,X3)!=X5|~relation(X3)|~in(X4,X5)|~in(X1,X2)|~in(X6,esk465_2(X2,X3))|~in(unordered_pair(unordered_pair(X4,esk468_4(X2,X3,X4,X5)),unordered_pair(X4,X4)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1487, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3182, lemma, (relation_dom(esk469_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk464_2(X1,X2),X5),unordered_pair(esk464_2(X1,X2),esk464_2(X1,X2))),X2)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(X5,esk466_2(X1,X2))|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1488, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3183, lemma, (relation_dom(esk469_2(X1,X2))=X1|empty(X1)|in(unordered_pair(unordered_pair(esk463_2(X1,X2),X5),unordered_pair(esk463_2(X1,X2),esk463_2(X1,X2))),X2)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(X5,esk465_2(X1,X2))|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1489, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3184, lemma, (empty(X1)|relation(esk469_2(X1,X2))|in(unordered_pair(unordered_pair(esk464_2(X1,X2),X5),unordered_pair(esk464_2(X1,X2),esk464_2(X1,X2))),X2)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(X5,esk466_2(X1,X2))|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1490, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3185, lemma, (empty(X1)|relation(esk469_2(X1,X2))|in(unordered_pair(unordered_pair(esk463_2(X1,X2),X5),unordered_pair(esk463_2(X1,X2),esk463_2(X1,X2))),X2)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(X5,esk465_2(X1,X2))|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1491, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3186, lemma, (empty(X1)|function(esk469_2(X1,X2))|in(unordered_pair(unordered_pair(esk464_2(X1,X2),X5),unordered_pair(esk464_2(X1,X2),esk464_2(X1,X2))),X2)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(X5,esk466_2(X1,X2))|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1492, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3187, lemma, (empty(X1)|function(esk469_2(X1,X2))|in(unordered_pair(unordered_pair(esk463_2(X1,X2),X5),unordered_pair(esk463_2(X1,X2),esk463_2(X1,X2))),X2)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(X5,esk465_2(X1,X2))|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1493, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3188, plain, (X3=relation_composition(X1,X2)|in(unordered_pair(unordered_pair(esk138_3(X1,X2,X3),esk139_3(X1,X2,X3)),unordered_pair(esk138_3(X1,X2,X3),esk138_3(X1,X2,X3))),X3)|in(unordered_pair(unordered_pair(esk140_3(X1,X2,X3),esk139_3(X1,X2,X3)),unordered_pair(esk140_3(X1,X2,X3),esk140_3(X1,X2,X3))),X2)|~relation(X3)|~relation(X2)|~relation(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1494, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3189, plain, (X3=relation_composition(X1,X2)|in(unordered_pair(unordered_pair(esk138_3(X1,X2,X3),esk139_3(X1,X2,X3)),unordered_pair(esk138_3(X1,X2,X3),esk138_3(X1,X2,X3))),X3)|in(unordered_pair(unordered_pair(esk138_3(X1,X2,X3),esk140_3(X1,X2,X3)),unordered_pair(esk138_3(X1,X2,X3),esk138_3(X1,X2,X3))),X1)|~relation(X3)|~relation(X2)|~relation(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1495, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3190, plain, (X3=relation_rng_restriction(X1,X2)|in(unordered_pair(unordered_pair(esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)),unordered_pair(esk11_3(X1,X2,X3),esk11_3(X1,X2,X3))),X3)|in(unordered_pair(unordered_pair(esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)),unordered_pair(esk11_3(X1,X2,X3),esk11_3(X1,X2,X3))),X2)|~relation(X3)|~relation(X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1496, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3191, plain, (X3=relation_dom_restriction(X1,X2)|in(unordered_pair(unordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),unordered_pair(esk4_3(X1,X2,X3),esk4_3(X1,X2,X3))),X3)|in(unordered_pair(unordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),unordered_pair(esk4_3(X1,X2,X3),esk4_3(X1,X2,X3))),X1)|~relation(X3)|~relation(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1497, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3192, lemma, (empty(X1)|in(esk464_2(X1,X2),esk466_2(X1,X2))|in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|esk467_2(X1,X2)!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)|~in(unordered_pair(unordered_pair(X4,esk468_4(X1,X2,X4,X5)),unordered_pair(X4,X4)),X2)), inference(rw,[status(thm)],[i_0_1498, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3193, lemma, (empty(X1)|in(esk463_2(X1,X2),esk465_2(X1,X2))|in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|esk467_2(X1,X2)!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)|~in(unordered_pair(unordered_pair(X4,esk468_4(X1,X2,X4,X5)),unordered_pair(X4,X4)),X2)), inference(rw,[status(thm)],[i_0_1499, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3194, lemma, (empty(X1)|in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|esk467_2(X1,X2)!=X5|esk464_2(X1,X2)!=esk463_2(X1,X2)|~relation(X2)|~in(X4,X5)|~in(X3,X1)|~in(unordered_pair(unordered_pair(X4,esk468_4(X1,X2,X4,X5)),unordered_pair(X4,X4)),X2)), inference(rw,[status(thm)],[i_0_1500, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3195, lemma, (empty(X1)|in(esk462_2(X1,X2),X1)|in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|esk467_2(X1,X2)!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)|~in(unordered_pair(unordered_pair(X4,esk468_4(X1,X2,X4,X5)),unordered_pair(X4,X4)),X2)), inference(rw,[status(thm)],[i_0_1501, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3196, lemma, (esk466_2(X1,X2)=esk462_2(X1,X2)|empty(X1)|in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|esk467_2(X1,X2)!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)|~in(unordered_pair(unordered_pair(X4,esk468_4(X1,X2,X4,X5)),unordered_pair(X4,X4)),X2)), inference(rw,[status(thm)],[i_0_1502, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3197, lemma, (esk465_2(X1,X2)=esk462_2(X1,X2)|empty(X1)|in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|esk467_2(X1,X2)!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)|~in(unordered_pair(unordered_pair(X4,esk468_4(X1,X2,X4,X5)),unordered_pair(X4,X4)),X2)), inference(rw,[status(thm)],[i_0_1503, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3198, lemma, (X1=esk470_3(X2,X3,X1)|empty(X2)|in(esk464_2(X2,X3),esk466_2(X2,X3))|esk467_2(X2,X3)!=X5|~relation(X3)|~in(X4,X5)|~in(X1,X2)|~in(unordered_pair(unordered_pair(X4,esk468_4(X2,X3,X4,X5)),unordered_pair(X4,X4)),X3)), inference(rw,[status(thm)],[i_0_1504, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3199, lemma, (X1=esk470_3(X2,X3,X1)|empty(X2)|in(esk463_2(X2,X3),esk465_2(X2,X3))|esk467_2(X2,X3)!=X5|~relation(X3)|~in(X4,X5)|~in(X1,X2)|~in(unordered_pair(unordered_pair(X4,esk468_4(X2,X3,X4,X5)),unordered_pair(X4,X4)),X3)), inference(rw,[status(thm)],[i_0_1505, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3200, lemma, (X1=esk470_3(X2,X3,X1)|empty(X2)|esk467_2(X2,X3)!=X5|esk464_2(X2,X3)!=esk463_2(X2,X3)|~relation(X3)|~in(X4,X5)|~in(X1,X2)|~in(unordered_pair(unordered_pair(X4,esk468_4(X2,X3,X4,X5)),unordered_pair(X4,X4)),X3)), inference(rw,[status(thm)],[i_0_1506, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3201, lemma, (X1=esk470_3(X2,X3,X1)|empty(X2)|in(esk462_2(X2,X3),X2)|esk467_2(X2,X3)!=X5|~relation(X3)|~in(X4,X5)|~in(X1,X2)|~in(unordered_pair(unordered_pair(X4,esk468_4(X2,X3,X4,X5)),unordered_pair(X4,X4)),X3)), inference(rw,[status(thm)],[i_0_1507, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3202, lemma, (X1=esk470_3(X2,X3,X1)|esk466_2(X2,X3)=esk462_2(X2,X3)|empty(X2)|esk467_2(X2,X3)!=X5|~relation(X3)|~in(X4,X5)|~in(X1,X2)|~in(unordered_pair(unordered_pair(X4,esk468_4(X2,X3,X4,X5)),unordered_pair(X4,X4)),X3)), inference(rw,[status(thm)],[i_0_1508, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3203, lemma, (X1=esk470_3(X2,X3,X1)|esk465_2(X2,X3)=esk462_2(X2,X3)|empty(X2)|esk467_2(X2,X3)!=X5|~relation(X3)|~in(X4,X5)|~in(X1,X2)|~in(unordered_pair(unordered_pair(X4,esk468_4(X2,X3,X4,X5)),unordered_pair(X4,X4)),X3)), inference(rw,[status(thm)],[i_0_1509, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3204, lemma, (relation_dom(esk469_2(X1,X2))=X1|empty(X1)|in(esk464_2(X1,X2),esk466_2(X1,X2))|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1510, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3205, lemma, (relation_dom(esk469_2(X1,X2))=X1|empty(X1)|in(esk463_2(X1,X2),esk465_2(X1,X2))|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1511, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3206, lemma, (empty(X1)|relation(esk469_2(X1,X2))|in(esk464_2(X1,X2),esk466_2(X1,X2))|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1512, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3207, lemma, (empty(X1)|relation(esk469_2(X1,X2))|in(esk463_2(X1,X2),esk465_2(X1,X2))|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1513, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3208, lemma, (empty(X1)|function(esk469_2(X1,X2))|in(esk464_2(X1,X2),esk466_2(X1,X2))|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1514, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3209, lemma, (empty(X1)|function(esk469_2(X1,X2))|in(esk463_2(X1,X2),esk465_2(X1,X2))|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1515, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3210, lemma, (relation_dom(esk469_2(X1,X2))=X1|empty(X1)|esk467_2(X1,X2)!=X4|esk464_2(X1,X2)!=esk463_2(X1,X2)|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1516, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3211, lemma, (empty(X1)|relation(esk469_2(X1,X2))|esk467_2(X1,X2)!=X4|esk464_2(X1,X2)!=esk463_2(X1,X2)|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1517, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3212, lemma, (empty(X1)|function(esk469_2(X1,X2))|esk467_2(X1,X2)!=X4|esk464_2(X1,X2)!=esk463_2(X1,X2)|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1518, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3213, lemma, (relation_dom(esk469_2(X1,X2))=X1|empty(X1)|in(esk462_2(X1,X2),X1)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1519, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3214, lemma, (empty(X1)|relation(esk469_2(X1,X2))|in(esk462_2(X1,X2),X1)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1520, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3215, lemma, (empty(X1)|function(esk469_2(X1,X2))|in(esk462_2(X1,X2),X1)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1521, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3216, lemma, (relation_dom(esk469_2(X1,X2))=X1|esk466_2(X1,X2)=esk462_2(X1,X2)|empty(X1)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1522, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3217, lemma, (relation_dom(esk469_2(X1,X2))=X1|esk465_2(X1,X2)=esk462_2(X1,X2)|empty(X1)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1523, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3218, lemma, (esk466_2(X1,X2)=esk462_2(X1,X2)|empty(X1)|relation(esk469_2(X1,X2))|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1524, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3219, lemma, (esk466_2(X1,X2)=esk462_2(X1,X2)|empty(X1)|function(esk469_2(X1,X2))|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1525, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3220, lemma, (esk465_2(X1,X2)=esk462_2(X1,X2)|empty(X1)|relation(esk469_2(X1,X2))|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1526, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3221, lemma, (esk465_2(X1,X2)=esk462_2(X1,X2)|empty(X1)|function(esk469_2(X1,X2))|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(unordered_pair(unordered_pair(X3,esk468_4(X1,X2,X3,X4)),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1527, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3222, lemma, (empty(X1)|in(esk254_5(X1,X2,X3,X4,X5),X5)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk252_2(X1,X2))|in(unordered_pair(unordered_pair(esk249_2(X1,X2),X6),unordered_pair(esk249_2(X1,X2),esk249_2(X1,X2))),X2)|X3!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)|~in(X6,esk251_2(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1528, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3223, lemma, (empty(X1)|in(esk254_5(X1,X2,X3,X4,X5),X5)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk252_2(X1,X2))|in(unordered_pair(unordered_pair(esk248_2(X1,X2),X6),unordered_pair(esk248_2(X1,X2),esk248_2(X1,X2))),X2)|X3!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)|~in(X6,esk250_2(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1529, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3224, plain, (empty(X1)|in(X3,esk281_2(X1,X2))|in(esk284_5(X1,X2,X3,X4,X5),X5)|in(unordered_pair(unordered_pair(esk278_2(X1,X2),X6),unordered_pair(esk278_2(X1,X2),esk278_2(X1,X2))),X2)|X4!=X5|~relation(X2)|~in(X4,X1)|~in(X3,X5)|~in(X6,esk280_2(X1,X2))), inference(rw,[status(thm)],[i_0_1530, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3225, plain, (empty(X1)|in(X3,esk281_2(X1,X2))|in(esk284_5(X1,X2,X3,X4,X5),X5)|in(unordered_pair(unordered_pair(esk277_2(X1,X2),X6),unordered_pair(esk277_2(X1,X2),esk277_2(X1,X2))),X2)|X4!=X5|~relation(X2)|~in(X4,X1)|~in(X3,X5)|~in(X6,esk279_2(X1,X2))), inference(rw,[status(thm)],[i_0_1531, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3226, plain, (element(esk17_4(X1,X2,X3,X4),the_carrier(X2))|subnet(X3,X1,X2)|empty_carrier(X3)|empty_carrier(X2)|empty_carrier(X1)|~function(X4)|~quasi_total(X4,the_carrier(X3),the_carrier(X2))|~relation_of2_as_subset(X4,the_carrier(X3),the_carrier(X2))|the_mapping(X1,X3)!=function_of_composition(the_carrier(X3),the_carrier(X2),the_carrier(X1),X4,the_mapping(X1,X2))|~transitive_relstr(X3)|~directed_relstr(X3)|~net_str(X3,X1)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1381]), ['final']).
% 282.28/198.91 cnf(i_0_3227, plain, (relation_of2_as_subset(function_of_composition(X1,X2,X3,X4,X5),X1,X3)|empty(X2)|~function(X4)|~quasi_total(X4,X1,X2)|~relation_of2(X4,X1,X2)|~function(X5)|~quasi_total(X5,X2,X3)|~relation_of2(X5,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1532]), ['final']).
% 282.28/198.91 cnf(i_0_3228, plain, (quasi_total(function_of_composition(X1,X2,X3,X4,X5),X1,X3)|empty(X2)|~function(X4)|~quasi_total(X4,X1,X2)|~relation_of2(X4,X1,X2)|~function(X5)|~quasi_total(X5,X2,X3)|~relation_of2(X5,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1532]), ['final']).
% 282.28/198.91 cnf(i_0_3229, plain, (function(function_of_composition(X1,X2,X3,X4,X5))|empty(X2)|~function(X4)|~quasi_total(X4,X1,X2)|~relation_of2(X4,X1,X2)|~function(X5)|~quasi_total(X5,X2,X3)|~relation_of2(X5,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1532]), ['final']).
% 282.28/198.91 cnf(i_0_3230, lemma, (empty(X1)|in(esk249_2(X1,X2),esk251_2(X1,X2))|in(esk254_5(X1,X2,X3,X4,X5),X5)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk252_2(X1,X2))|X3!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)), inference(rw,[status(thm)],[i_0_1533, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3231, lemma, (empty(X1)|in(esk248_2(X1,X2),esk250_2(X1,X2))|in(esk254_5(X1,X2,X3,X4,X5),X5)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk252_2(X1,X2))|X3!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)), inference(rw,[status(thm)],[i_0_1534, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3232, plain, (related(X1,X2,esk123_5(X3,X1,X2,X4,X5))|empty_carrier(X1)|empty_carrier(X3)|~in(X5,the_carrier(X4))|X4!=netstr_restr_to_element(X3,X1,X2)|~strict_net_str(X4,X3)|~net_str(X4,X3)|~element(X2,the_carrier(X1))|~net_str(X1,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1535]), ['final']).
% 282.28/198.91 cnf(i_0_3233, lemma, (empty(X1)|in(esk254_5(X1,X2,X3,X4,X5),X5)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk252_2(X1,X2))|X3!=X5|esk249_2(X1,X2)!=esk248_2(X1,X2)|~relation(X2)|~in(X4,X5)|~in(X3,X1)), inference(rw,[status(thm)],[i_0_1536, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3234, lemma, (empty(X1)|in(esk247_2(X1,X2),X1)|in(esk254_5(X1,X2,X3,X4,X5),X5)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk252_2(X1,X2))|X3!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)), inference(rw,[status(thm)],[i_0_1537, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3235, lemma, (empty(X1)|in(esk247_2(X1,X2),X1)|in(esk254_5(X1,X2,X3,X4,X5),X5)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk252_2(X1,X2))|X3!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)), inference(rw,[status(thm)],[i_0_1538, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3236, lemma, (esk251_2(X1,X2)=esk247_2(X1,X2)|empty(X1)|in(esk254_5(X1,X2,X3,X4,X5),X5)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk252_2(X1,X2))|X3!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)), inference(rw,[status(thm)],[i_0_1539, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3237, lemma, (esk250_2(X1,X2)=esk247_2(X1,X2)|empty(X1)|in(esk254_5(X1,X2,X3,X4,X5),X5)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk252_2(X1,X2))|X3!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)), inference(rw,[status(thm)],[i_0_1540, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3238, plain, (element(esk123_5(X1,X2,X3,X4,X5),the_carrier(X2))|empty_carrier(X2)|empty_carrier(X1)|~in(X5,the_carrier(X4))|X4!=netstr_restr_to_element(X1,X2,X3)|~strict_net_str(X4,X1)|~net_str(X4,X1)|~element(X3,the_carrier(X2))|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1535]), ['final']).
% 282.28/198.91 cnf(i_0_3239, plain, (in(esk284_5(X1,X2,X3,X4,X5),X5)|in(X3,esk281_2(X1,X2))|in(esk278_2(X1,X2),esk280_2(X1,X2))|empty(X1)|X4!=X5|~in(X3,X5)|~in(X4,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.91 cnf(i_0_3240, plain, (in(esk284_5(X1,X2,X3,X4,X5),X5)|in(X3,esk281_2(X1,X2))|in(esk277_2(X1,X2),esk279_2(X1,X2))|empty(X1)|X4!=X5|~in(X3,X5)|~in(X4,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.91 cnf(i_0_3241, plain, (in(esk284_5(X1,X2,X3,X4,X5),X5)|in(X3,esk281_2(X1,X2))|empty(X1)|X4!=X5|~in(X3,X5)|~in(X4,X1)|esk277_2(X1,X2)!=esk278_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.91 cnf(i_0_3242, plain, (in(esk284_5(X1,X2,X3,X4,X5),X5)|in(X3,esk281_2(X1,X2))|in(esk276_2(X1,X2),X1)|empty(X1)|X4!=X5|~in(X3,X5)|~in(X4,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.91 cnf(i_0_3243, plain, (in(esk284_5(X1,X2,X3,X4,X5),X5)|in(X3,esk281_2(X1,X2))|in(esk276_2(X1,X2),X1)|empty(X1)|X4!=X5|~in(X3,X5)|~in(X4,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.91 cnf(i_0_3244, plain, (in(esk284_5(X1,X2,X3,X4,X5),X5)|in(X3,esk281_2(X1,X2))|esk276_2(X1,X2)=esk280_2(X1,X2)|empty(X1)|X4!=X5|~in(X3,X5)|~in(X4,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.91 cnf(i_0_3245, plain, (in(esk284_5(X1,X2,X3,X4,X5),X5)|in(X3,esk281_2(X1,X2))|esk276_2(X1,X2)=esk279_2(X1,X2)|empty(X1)|X4!=X5|~in(X3,X5)|~in(X4,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.91 cnf(i_0_3246, plain, (X3=fiber(X1,X2)|esk61_3(X1,X2,X3)=X2|~relation(X1)|~in(esk61_3(X1,X2,X3),X3)|~in(unordered_pair(unordered_pair(esk61_3(X1,X2,X3),X2),unordered_pair(esk61_3(X1,X2,X3),esk61_3(X1,X2,X3))),X1)), inference(rw,[status(thm)],[i_0_1541, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3247, plain, (X3=relation_inverse_image(X1,X2)|~relation(X1)|~in(X4,X2)|~in(esk29_3(X1,X2,X3),X3)|~in(unordered_pair(unordered_pair(esk29_3(X1,X2,X3),X4),unordered_pair(esk29_3(X1,X2,X3),esk29_3(X1,X2,X3))),X1)), inference(rw,[status(thm)],[i_0_1542, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3248, lemma, (relation_dom_as_subset(X2,X1,X3)=X2|~relation_of2_as_subset(X3,X2,X1)|~in(unordered_pair(unordered_pair(esk510_3(X1,X2,X3),X4),unordered_pair(esk510_3(X1,X2,X3),esk510_3(X1,X2,X3))),X3)), inference(rw,[status(thm)],[i_0_1543, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3249, lemma, (empty(X2)|in(esk468_4(X2,X3,X5,X6),X6)|in(unordered_pair(unordered_pair(esk464_2(X2,X3),X7),unordered_pair(esk464_2(X2,X3),esk464_2(X2,X3))),X3)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X7,esk466_2(X2,X3))|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1544, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3250, lemma, (empty(X2)|in(esk468_4(X2,X3,X5,X6),X6)|in(unordered_pair(unordered_pair(esk463_2(X2,X3),X7),unordered_pair(esk463_2(X2,X3),esk463_2(X2,X3))),X3)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X7,esk465_2(X2,X3))|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1545, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3251, lemma, (empty_carrier(X1)|relstr_set_smaller(X1,X2,esk461_3(X1,X3,X2))|~rel_str(X1)|~transitive_relstr(X1)|~finite(X2)|~in(X5,X3)|~in(X4,X3)|~element(X5,the_carrier(X1))|~element(X4,the_carrier(X1))|~element(X2,powerset(X3))|~relstr_set_smaller(X1,empty_set,X5)|~element(X3,powerset(the_carrier(X1)))|~relstr_set_smaller(X1,set_union2(esk459_3(X1,X3,X2),unordered_pair(esk458_3(X1,X3,X2),esk458_3(X1,X3,X2))),X4)), inference(rw,[status(thm)],[inference(cn,[status(thm)],[i_0_1546]), c_0_882]), ['final']).
% 282.28/198.91 cnf(i_0_3252, lemma, (empty_carrier(X1)|element(esk461_3(X1,X2,X3),the_carrier(X1))|~rel_str(X1)|~transitive_relstr(X1)|~finite(X3)|~in(X5,X2)|~in(X4,X2)|~element(X5,the_carrier(X1))|~element(X4,the_carrier(X1))|~element(X3,powerset(X2))|~relstr_set_smaller(X1,empty_set,X5)|~element(X2,powerset(the_carrier(X1)))|~relstr_set_smaller(X1,set_union2(esk459_3(X1,X2,X3),unordered_pair(esk458_3(X1,X2,X3),esk458_3(X1,X2,X3))),X4)), inference(rw,[status(thm)],[inference(cn,[status(thm)],[i_0_1547]), c_0_882]), ['final']).
% 282.28/198.91 cnf(i_0_3253, lemma, (empty_carrier(X1)|in(esk461_3(X1,X2,X3),X2)|~rel_str(X1)|~transitive_relstr(X1)|~finite(X3)|~in(X5,X2)|~in(X4,X2)|~element(X5,the_carrier(X1))|~element(X4,the_carrier(X1))|~element(X3,powerset(X2))|~relstr_set_smaller(X1,empty_set,X5)|~element(X2,powerset(the_carrier(X1)))|~relstr_set_smaller(X1,set_union2(esk459_3(X1,X2,X3),unordered_pair(esk458_3(X1,X2,X3),esk458_3(X1,X2,X3))),X4)), inference(rw,[status(thm)],[inference(cn,[status(thm)],[i_0_1548]), c_0_882]), ['final']).
% 282.28/198.91 cnf(i_0_3254, lemma, (in(unordered_pair(unordered_pair(X4,esk511_4(X2,X1,X3,X4)),unordered_pair(X4,X4)),X3)|relation_dom_as_subset(X1,X2,X3)!=X1|~in(X4,X1)|~relation_of2_as_subset(X3,X1,X2)), inference(rw,[status(thm)],[i_0_1549, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3255, plain, (in(unordered_pair(unordered_pair(X1,esk28_4(X2,X3,X4,X1)),unordered_pair(X1,X1)),X2)|X4!=relation_inverse_image(X2,X3)|~relation(X2)|~in(X1,X4)), inference(rw,[status(thm)],[i_0_1550, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3256, plain, (esk395_3(X2,X7,X6)=unordered_pair(unordered_pair(esk398_3(X2,X7,X6),esk399_3(X2,X7,X6)),unordered_pair(esk398_3(X2,X7,X6),esk398_3(X2,X7,X6)))|in(X3,esk400_3(X2,X7,X6))|X1!=X3|X3!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~function(X6)|~relation(X7)|~relation(X6)|~in(X1,cartesian_product2(X2,X2))|~in(unordered_pair(unordered_pair(apply(X6,X4),apply(X6,X5)),unordered_pair(apply(X6,X4),apply(X6,X4))),X7)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1551, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3257, plain, (esk394_3(X2,X7,X6)=unordered_pair(unordered_pair(esk396_3(X2,X7,X6),esk397_3(X2,X7,X6)),unordered_pair(esk396_3(X2,X7,X6),esk396_3(X2,X7,X6)))|in(X3,esk400_3(X2,X7,X6))|X1!=X3|X3!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~function(X6)|~relation(X7)|~relation(X6)|~in(X1,cartesian_product2(X2,X2))|~in(unordered_pair(unordered_pair(apply(X6,X4),apply(X6,X5)),unordered_pair(apply(X6,X4),apply(X6,X4))),X7)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1552, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3258, plain, (relation_isomorphism(X1,X2,X3)|in(esk127_3(X1,X2,X3),relation_field(X1))|in(unordered_pair(unordered_pair(esk126_3(X1,X2,X3),esk127_3(X1,X2,X3)),unordered_pair(esk126_3(X1,X2,X3),esk126_3(X1,X2,X3))),X1)|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~function(X3)|~relation(X3)|~relation(X2)|~relation(X1)|~one_to_one(X3)), inference(rw,[status(thm)],[i_0_1553, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3259, plain, (relation_isomorphism(X1,X2,X3)|in(esk126_3(X1,X2,X3),relation_field(X1))|in(unordered_pair(unordered_pair(esk126_3(X1,X2,X3),esk127_3(X1,X2,X3)),unordered_pair(esk126_3(X1,X2,X3),esk126_3(X1,X2,X3))),X1)|relation_field(X1)!=relation_dom(X3)|relation_rng(X3)!=relation_field(X2)|~function(X3)|~relation(X3)|~relation(X2)|~relation(X1)|~one_to_one(X3)), inference(rw,[status(thm)],[i_0_1554, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3260, plain, (X1=esk553_4(X3,X4,X5,X2)|X2=empty_set|~in(X1,X2)|~subset(esk553_4(X3,X4,X5,X2),X1)|~element(X2,powerset(powerset(esk552_3(X3,X4,X5))))|~in(esk552_3(X3,X4,X5),omega)|~epred2_3(X5,X4,X3)), inference(split_conjunct,[status(thm)],[i_0_1555]), ['final']).
% 282.28/198.91 cnf(i_0_3261, plain, (X1=esk551_4(X3,X4,X5,X2)|X2=empty_set|~in(X1,X2)|~subset(esk551_4(X3,X4,X5,X2),X1)|~element(X2,powerset(powerset(esk550_3(X3,X4,X5))))|~in(esk550_3(X3,X4,X5),omega)|~epred2_3(X5,X4,X3)), inference(split_conjunct,[status(thm)],[i_0_1555]), ['final']).
% 282.28/198.91 cnf(i_0_3262, plain, (X4=netstr_restr_to_element(X1,X2,X3)|empty_carrier(X2)|empty_carrier(X1)|~in(esk124_4(X1,X2,X3,X4),the_carrier(X4))|~element(X5,the_carrier(X2))|X5!=esk124_4(X1,X2,X3,X4)|~related(X2,X3,X5)|the_InternalRel(X4)!=relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X4))|the_mapping(X1,X4)!=partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X4))|~strict_net_str(X4,X1)|~net_str(X4,X1)|~element(X3,the_carrier(X2))|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1535]), ['final']).
% 282.28/198.91 cnf(i_0_3263, plain, (X3=relation_rng_restriction(X1,X2)|in(esk12_3(X1,X2,X3),X1)|in(unordered_pair(unordered_pair(esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)),unordered_pair(esk11_3(X1,X2,X3),esk11_3(X1,X2,X3))),X3)|~relation(X3)|~relation(X2)), inference(rw,[status(thm)],[i_0_1556, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3264, plain, (X3=relation_dom_restriction(X1,X2)|in(esk4_3(X1,X2,X3),X2)|in(unordered_pair(unordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),unordered_pair(esk4_3(X1,X2,X3),esk4_3(X1,X2,X3))),X3)|~relation(X3)|~relation(X1)), inference(rw,[status(thm)],[i_0_1557, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3265, plain, (X3=relation_inverse_image(X1,X2)|in(esk29_3(X1,X2,X3),X3)|in(unordered_pair(unordered_pair(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)),unordered_pair(esk29_3(X1,X2,X3),esk29_3(X1,X2,X3))),X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_1558, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3266, plain, (X3=relation_image(X1,X2)|in(esk26_3(X1,X2,X3),X3)|in(unordered_pair(unordered_pair(esk27_3(X1,X2,X3),esk26_3(X1,X2,X3)),unordered_pair(esk27_3(X1,X2,X3),esk27_3(X1,X2,X3))),X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_1559, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3267, lemma, (empty(X2)|in(esk468_4(X2,X3,X5,X6),X6)|in(esk464_2(X2,X3),esk466_2(X2,X3))|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1560, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3268, lemma, (empty(X2)|in(esk468_4(X2,X3,X5,X6),X6)|in(esk463_2(X2,X3),esk465_2(X2,X3))|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1561, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3269, lemma, (empty(X2)|in(esk468_4(X2,X3,X5,X6),X6)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|esk464_2(X2,X3)!=esk463_2(X2,X3)|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1562, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3270, lemma, (empty(X2)|in(esk462_2(X2,X3),X2)|in(esk468_4(X2,X3,X5,X6),X6)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1563, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3271, lemma, (esk466_2(X2,X3)=esk462_2(X2,X3)|empty(X2)|in(esk468_4(X2,X3,X5,X6),X6)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1564, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3272, lemma, (esk465_2(X2,X3)=esk462_2(X2,X3)|empty(X2)|in(esk468_4(X2,X3,X5,X6),X6)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk467_2(X2,X3)!=X6|~relation(X3)|~in(X5,X6)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1565, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3273, plain, (related(X4,X5,apply_on_set_and_struct(the_carrier(X2),X4,esk15_3(X3,X4,X2),X1))|empty_carrier(X2)|empty_carrier(X4)|empty_carrier(X3)|~element(X1,the_carrier(X2))|~related(X2,esk16_4(X3,X4,X2,X5),X1)|~element(X5,the_carrier(X4))|~subnet(X2,X3,X4)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X3)|~transitive_relstr(X4)|~directed_relstr(X4)|~net_str(X4,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1381]), ['final']).
% 282.28/198.91 cnf(i_0_3274, plain, (is_eventually_in(X1,X2,X3)|empty_carrier(X2)|empty_carrier(X1)|~in(apply_netmap(X1,X2,esk7_4(X1,X2,X3,X4)),X3)|~element(X4,the_carrier(X2))|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1566]), ['final']).
% 282.28/198.91 cnf(i_0_3275, lemma, (empty(X2)|in(esk467_2(X2,X3),X2)|in(unordered_pair(unordered_pair(esk464_2(X2,X3),X5),unordered_pair(esk464_2(X2,X3),esk464_2(X2,X3))),X3)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|~relation(X3)|~in(X4,X2)|~in(X5,esk466_2(X2,X3))|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1567, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3276, lemma, (empty(X2)|in(esk467_2(X2,X3),X2)|in(unordered_pair(unordered_pair(esk463_2(X2,X3),X5),unordered_pair(esk463_2(X2,X3),esk463_2(X2,X3))),X3)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|~relation(X3)|~in(X4,X2)|~in(X5,esk465_2(X2,X3))|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1568, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3277, plain, (X2=relation_inverse(X1)|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk121_2(X1,X2),esk122_2(X1,X2)),unordered_pair(esk121_2(X1,X2),esk121_2(X1,X2))),X2)|~in(unordered_pair(unordered_pair(esk122_2(X1,X2),esk121_2(X1,X2)),unordered_pair(esk122_2(X1,X2),esk122_2(X1,X2))),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1569, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3278, plain, (X1=X2|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk73_2(X1,X2),esk74_2(X1,X2)),unordered_pair(esk73_2(X1,X2),esk73_2(X1,X2))),X2)|~in(unordered_pair(unordered_pair(esk73_2(X1,X2),esk74_2(X1,X2)),unordered_pair(esk73_2(X1,X2),esk73_2(X1,X2))),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1570, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3279, plain, (related(X1,X2,esk125_4(X3,X1,X2,X4))|in(esk124_4(X3,X1,X2,X4),the_carrier(X4))|X4=netstr_restr_to_element(X3,X1,X2)|empty_carrier(X1)|empty_carrier(X3)|the_InternalRel(X4)!=relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X4))|the_mapping(X3,X4)!=partfun_dom_restriction(the_carrier(X1),the_carrier(X3),the_mapping(X3,X1),the_carrier(X4))|~strict_net_str(X4,X3)|~net_str(X4,X3)|~element(X2,the_carrier(X1))|~net_str(X1,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1535]), ['final']).
% 282.28/198.91 cnf(i_0_3280, lemma, (empty(X2)|in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),X3)|in(unordered_pair(unordered_pair(esk249_2(X2,X3),X6),unordered_pair(esk249_2(X2,X3),esk249_2(X2,X3))),X3)|~relation(X3)|~in(X6,esk251_2(X2,X3))|~in(X1,esk253_4(X2,X3,X4,X5))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1571, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3281, lemma, (empty(X2)|in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),X3)|in(unordered_pair(unordered_pair(esk248_2(X2,X3),X6),unordered_pair(esk248_2(X2,X3),esk248_2(X2,X3))),X3)|~relation(X3)|~in(X6,esk250_2(X2,X3))|~in(X1,esk253_4(X2,X3,X4,X5))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1572, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3282, plain, (element(esk125_4(X1,X2,X3,X4),the_carrier(X2))|in(esk124_4(X1,X2,X3,X4),the_carrier(X4))|X4=netstr_restr_to_element(X1,X2,X3)|empty_carrier(X2)|empty_carrier(X1)|the_InternalRel(X4)!=relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X4))|the_mapping(X1,X4)!=partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X4))|~strict_net_str(X4,X1)|~net_str(X4,X1)|~element(X3,the_carrier(X2))|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1535]), ['final']).
% 282.28/198.91 cnf(i_0_3283, plain, (empty(X1)|in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|in(unordered_pair(unordered_pair(esk292_2(X1,X2),X5),unordered_pair(esk292_2(X1,X2),esk292_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk293_2(X1,X2))|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1573, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3284, plain, (empty(X1)|in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|in(unordered_pair(unordered_pair(esk289_2(X1,X2),X5),unordered_pair(esk289_2(X1,X2),esk289_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk290_2(X1,X2))|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1574, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3285, plain, (esk395_3(X1,X2,X3)=unordered_pair(unordered_pair(esk398_3(X1,X2,X3),esk399_3(X1,X2,X3)),unordered_pair(esk398_3(X1,X2,X3),esk398_3(X1,X2,X3)))|in(esk401_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk400_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1575, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3286, plain, (esk394_3(X1,X2,X3)=unordered_pair(unordered_pair(esk396_3(X1,X2,X3),esk397_3(X1,X2,X3)),unordered_pair(esk396_3(X1,X2,X3),esk396_3(X1,X2,X3)))|in(esk401_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk400_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1576, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3287, plain, (esk125_4(X1,X2,X3,X4)=esk124_4(X1,X2,X3,X4)|in(esk124_4(X1,X2,X3,X4),the_carrier(X4))|X4=netstr_restr_to_element(X1,X2,X3)|empty_carrier(X2)|empty_carrier(X1)|the_InternalRel(X4)!=relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X4))|the_mapping(X1,X4)!=partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X4))|~strict_net_str(X4,X1)|~net_str(X4,X1)|~element(X3,the_carrier(X2))|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1535]), ['final']).
% 282.28/198.91 cnf(i_0_3288, plain, (relstr_set_smaller(X1,esk309_4(X1,X2,X3,X4),esk310_4(X1,X2,X3,X4))|relstr_set_smaller(X1,esk305_3(X1,X2,X3),esk306_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3289, plain, (relstr_set_smaller(X1,esk309_4(X1,X2,X3,X4),esk310_4(X1,X2,X3,X4))|relstr_set_smaller(X1,esk303_3(X1,X2,X3),esk304_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3290, plain, (empty(X1)|function_of_composition(X3,X1,X5,X2,X4)=relation_composition(X2,X4)|~function(X2)|~quasi_total(X2,X3,X1)|~relation_of2(X2,X3,X1)|~function(X4)|~quasi_total(X4,X1,X5)|~relation_of2(X4,X1,X5)), inference(split_conjunct,[status(thm)],[i_0_1578]), ['final']).
% 282.28/198.91 cnf(i_0_3291, plain, (X3=fiber(X1,X2)|in(esk61_3(X1,X2,X3),X3)|in(unordered_pair(unordered_pair(esk61_3(X1,X2,X3),X2),unordered_pair(esk61_3(X1,X2,X3),esk61_3(X1,X2,X3))),X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_1579, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3292, plain, (the_mapping(X1,X2)=function_of_composition(the_carrier(X2),the_carrier(X3),the_carrier(X1),esk15_3(X1,X3,X2),the_mapping(X1,X3))|empty_carrier(X2)|empty_carrier(X3)|empty_carrier(X1)|~subnet(X2,X1,X3)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~transitive_relstr(X3)|~directed_relstr(X3)|~net_str(X3,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1381]), ['final']).
% 282.28/198.91 cnf(i_0_3293, plain, (relstr_set_smaller(X1,esk309_4(X1,X2,X3,X4),esk310_4(X1,X2,X3,X4))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|esk301_3(X1,X2,X3)!=esk302_3(X1,X2,X3)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3294, plain, (in(esk553_4(X1,X2,X3,X4),X4)|X4=empty_set|~element(X4,powerset(powerset(esk552_3(X1,X2,X3))))|~in(esk552_3(X1,X2,X3),omega)|~epred2_3(X3,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1555]), ['final']).
% 282.28/198.91 cnf(i_0_3295, plain, (in(esk551_4(X1,X2,X3,X4),X4)|X4=empty_set|~element(X4,powerset(powerset(esk550_3(X1,X2,X3))))|~in(esk550_3(X1,X2,X3),omega)|~epred2_3(X3,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1555]), ['final']).
% 282.28/198.91 cnf(i_0_3296, lemma, (in(unordered_pair(unordered_pair(esk501_3(X1,X2,X3),X1),unordered_pair(esk501_3(X1,X2,X3),esk501_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_image(X3,X2))), inference(rw,[status(thm)],[i_0_1580, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3297, plain, (unordered_pair(unordered_pair(esk291_2(X1,X2),esk292_2(X1,X2)),unordered_pair(esk291_2(X1,X2),esk291_2(X1,X2)))=esk287_2(X1,X2)|empty(X1)|in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1581, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3298, plain, (unordered_pair(unordered_pair(esk288_2(X1,X2),esk289_2(X1,X2)),unordered_pair(esk288_2(X1,X2),esk288_2(X1,X2)))=esk286_2(X1,X2)|empty(X1)|in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1582, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3299, plain, (relstr_set_smaller(X1,esk309_4(X1,X2,X3,X4),esk310_4(X1,X2,X3,X4))|element(esk306_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3300, plain, (relstr_set_smaller(X1,esk309_4(X1,X2,X3,X4),esk310_4(X1,X2,X3,X4))|element(esk304_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3301, plain, (in(unordered_pair(unordered_pair(esk113_3(X3,X2,X1),X1),unordered_pair(esk113_3(X3,X2,X1),esk113_3(X3,X2,X1))),X3)|X2!=relation_rng(X3)|~relation(X3)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_1583, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3302, plain, (relstr_set_smaller(X1,esk309_4(X1,X2,X3,X4),esk310_4(X1,X2,X3,X4))|in(esk306_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3303, plain, (relstr_set_smaller(X1,esk309_4(X1,X2,X3,X4),esk310_4(X1,X2,X3,X4))|in(esk304_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3304, plain, (relstr_set_smaller(X1,esk309_4(X1,X2,X3,X4),esk310_4(X1,X2,X3,X4))|esk305_3(X1,X2,X3)=esk302_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3305, plain, (relstr_set_smaller(X1,esk309_4(X1,X2,X3,X4),esk310_4(X1,X2,X3,X4))|esk303_3(X1,X2,X3)=esk301_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3306, plain, (relstr_set_smaller(X1,esk309_4(X1,X2,X3,X4),esk310_4(X1,X2,X3,X4))|esk300_3(X1,X2,X3)=esk302_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3307, plain, (relstr_set_smaller(X1,esk309_4(X1,X2,X3,X4),esk310_4(X1,X2,X3,X4))|esk300_3(X1,X2,X3)=esk301_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3308, plain, (esk123_5(X1,X2,X3,X4,X5)=X5|empty_carrier(X2)|empty_carrier(X1)|~in(X5,the_carrier(X4))|X4!=netstr_restr_to_element(X1,X2,X3)|~strict_net_str(X4,X1)|~net_str(X4,X1)|~element(X3,the_carrier(X2))|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1535]), ['final']).
% 282.28/198.91 cnf(i_0_3309, plain, (esk401_4(X1,X2,X3,X4)=X4|esk395_3(X1,X2,X3)=unordered_pair(unordered_pair(esk398_3(X1,X2,X3),esk399_3(X1,X2,X3)),unordered_pair(esk398_3(X1,X2,X3),esk398_3(X1,X2,X3)))|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk400_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1584, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3310, plain, (esk401_4(X1,X2,X3,X4)=X4|esk394_3(X1,X2,X3)=unordered_pair(unordered_pair(esk396_3(X1,X2,X3),esk397_3(X1,X2,X3)),unordered_pair(esk396_3(X1,X2,X3),esk396_3(X1,X2,X3)))|~function(X3)|~relation(X3)|~relation(X2)|~in(X4,esk400_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1585, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3311, lemma, (empty(X2)|in(esk467_2(X2,X3),X2)|in(esk464_2(X2,X3),esk466_2(X2,X3))|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|~relation(X3)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1586, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3312, lemma, (empty(X2)|in(esk467_2(X2,X3),X2)|in(esk463_2(X2,X3),esk465_2(X2,X3))|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|~relation(X3)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1587, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3313, lemma, (empty(X2)|in(esk467_2(X2,X3),X2)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|esk464_2(X2,X3)!=esk463_2(X2,X3)|~relation(X3)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1588, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3314, lemma, (empty(X2)|in(esk462_2(X2,X3),X2)|in(esk467_2(X2,X3),X2)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|~relation(X3)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1589, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3315, lemma, (esk466_2(X2,X3)=esk462_2(X2,X3)|empty(X2)|in(esk467_2(X2,X3),X2)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|~relation(X3)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1590, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3316, lemma, (esk465_2(X2,X3)=esk462_2(X2,X3)|empty(X2)|in(esk467_2(X2,X3),X2)|in(unordered_pair(unordered_pair(apply(esk469_2(X2,X3),X4),X1),unordered_pair(apply(esk469_2(X2,X3),X4),apply(esk469_2(X2,X3),X4))),X3)|~relation(X3)|~in(X4,X2)|~in(X1,esk470_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1591, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3317, plain, (in(X3,esk400_3(X2,X7,X6))|X1!=X3|esk395_3(X2,X7,X6)!=esk394_3(X2,X7,X6)|X3!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~function(X6)|~relation(X7)|~relation(X6)|~in(X1,cartesian_product2(X2,X2))|~in(unordered_pair(unordered_pair(apply(X6,X4),apply(X6,X5)),unordered_pair(apply(X6,X4),apply(X6,X4))),X7)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1592, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3318, lemma, (relstr_set_smaller(X1,esk428_4(X1,X2,X3,X4),esk429_4(X1,X2,X3,X4))|empty_carrier(X1)|~in(X4,esk427_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1593]), ['final']).
% 282.28/198.91 cnf(i_0_3319, plain, (in(esk37_4(X1,X2,X3,X4),X4)|esk37_4(X1,X2,X3,X4)=X1|esk37_4(X1,X2,X3,X4)=X2|esk37_4(X1,X2,X3,X4)=X3|X4=unordered_triple(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1594]), ['final']).
% 282.28/198.91 cnf(i_0_3320, lemma, (empty(X1)|in(esk468_4(X1,X2,X4,X5),X5)|in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(unordered_pair(unordered_pair(esk464_2(X1,X2),X6),unordered_pair(esk464_2(X1,X2),esk464_2(X1,X2))),X2)|esk467_2(X1,X2)!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)|~in(X6,esk466_2(X1,X2))), inference(rw,[status(thm)],[i_0_1595, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3321, lemma, (empty(X1)|in(esk468_4(X1,X2,X4,X5),X5)|in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(unordered_pair(unordered_pair(esk463_2(X1,X2),X6),unordered_pair(esk463_2(X1,X2),esk463_2(X1,X2))),X2)|esk467_2(X1,X2)!=X5|~relation(X2)|~in(X4,X5)|~in(X3,X1)|~in(X6,esk465_2(X1,X2))), inference(rw,[status(thm)],[i_0_1596, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3322, lemma, (empty(X2)|in(X1,esk253_4(X2,X3,X4,X1))|in(unordered_pair(unordered_pair(esk249_2(X2,X3),X5),unordered_pair(esk249_2(X2,X3),esk249_2(X2,X3))),X3)|~relation(X3)|~in(X5,esk251_2(X2,X3))|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1597, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3323, lemma, (empty(X2)|in(X1,esk253_4(X2,X3,X4,X1))|in(unordered_pair(unordered_pair(esk248_2(X2,X3),X5),unordered_pair(esk248_2(X2,X3),esk248_2(X2,X3))),X3)|~relation(X3)|~in(X5,esk250_2(X2,X3))|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1598, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3324, plain, (esk395_3(X2,X7,X6)=esk393_3(X2,X7,X6)|in(X3,esk400_3(X2,X7,X6))|X1!=X3|X3!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~function(X6)|~relation(X7)|~relation(X6)|~in(X1,cartesian_product2(X2,X2))|~in(unordered_pair(unordered_pair(apply(X6,X4),apply(X6,X5)),unordered_pair(apply(X6,X4),apply(X6,X4))),X7)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1599, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3325, plain, (esk394_3(X2,X7,X6)=esk393_3(X2,X7,X6)|in(X3,esk400_3(X2,X7,X6))|X1!=X3|X3!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~function(X6)|~relation(X7)|~relation(X6)|~in(X1,cartesian_product2(X2,X2))|~in(unordered_pair(unordered_pair(apply(X6,X4),apply(X6,X5)),unordered_pair(apply(X6,X4),apply(X6,X4))),X7)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1600, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3326, lemma, (empty(X2)|in(esk249_2(X2,X3),esk251_2(X2,X3))|in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),X3)|~relation(X3)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1601, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3327, lemma, (empty(X2)|in(esk248_2(X2,X3),esk250_2(X2,X3))|in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),X3)|~relation(X3)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1602, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3328, plain, (esk391_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|unordered_pair(unordered_pair(esk386_2(X2,X3),esk387_2(X2,X3)),unordered_pair(esk386_2(X2,X3),esk386_2(X2,X3)))=esk383_2(X2,X3)|X1!=esk390_4(X2,X3,X4,X5)|~one_sorted_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X5,esk388_3(X2,X3,X4))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1603, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3329, plain, (esk391_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|unordered_pair(unordered_pair(esk384_2(X2,X3),esk385_2(X2,X3)),unordered_pair(esk384_2(X2,X3),esk384_2(X2,X3)))=esk382_2(X2,X3)|X1!=esk390_4(X2,X3,X4,X5)|~one_sorted_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X5,esk388_3(X2,X3,X4))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1604, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3330, plain, (esk373_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|unordered_pair(unordered_pair(esk368_2(X2,X3),esk369_2(X2,X3)),unordered_pair(esk368_2(X2,X3),esk368_2(X2,X3)))=esk365_2(X2,X3)|X1!=esk372_4(X2,X3,X4,X5)|~one_sorted_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X5,esk370_3(X2,X3,X4))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1605, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3331, plain, (esk373_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|unordered_pair(unordered_pair(esk366_2(X2,X3),esk367_2(X2,X3)),unordered_pair(esk366_2(X2,X3),esk366_2(X2,X3)))=esk364_2(X2,X3)|X1!=esk372_4(X2,X3,X4,X5)|~one_sorted_str(X2)|~element(X1,powerset(the_carrier(X2)))|~in(X5,esk370_3(X2,X3,X4))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1606, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3332, plain, (in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|in(esk292_2(X1,X2),esk293_2(X1,X2))|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3333, plain, (in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|in(esk289_2(X1,X2),esk290_2(X1,X2))|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3334, lemma, (esk261_2(X2,X3)=subset_complement(the_carrier(X2),X5)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk262_2(X2,X3))|X5!=esk259_2(X2,X3)|X1!=subset_complement(the_carrier(X2),esk263_4(X2,X3,X4,X1))|~one_sorted_str(X2)|~element(X5,powerset(the_carrier(X2)))|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1607, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3335, lemma, (esk260_2(X2,X3)=subset_complement(the_carrier(X2),X5)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk262_2(X2,X3))|X5!=esk259_2(X2,X3)|X1!=subset_complement(the_carrier(X2),esk263_4(X2,X3,X4,X1))|~one_sorted_str(X2)|~element(X5,powerset(the_carrier(X2)))|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1608, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3336, lemma, (empty(X2)|in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),X3)|esk249_2(X2,X3)!=esk248_2(X2,X3)|~relation(X3)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1609, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3337, plain, (in(apply_netmap(X1,X2,esk13_4(X1,X2,X3,X4)),X3)|empty_carrier(X2)|empty_carrier(X1)|~element(X4,the_carrier(X2))|~is_often_in(X1,X2,X3)|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1610]), ['final']).
% 282.28/198.91 cnf(i_0_3338, lemma, (empty(X2)|in(esk247_2(X2,X3),X2)|in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),X3)|~relation(X3)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1611, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3339, lemma, (empty(X2)|in(esk247_2(X2,X3),X2)|in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),X3)|~relation(X3)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1612, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3340, plain, (empty(X1)|in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(unordered_pair(unordered_pair(esk292_2(X1,X2),X5),unordered_pair(esk292_2(X1,X2),esk292_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk293_2(X1,X2))|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1613, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3341, plain, (empty(X1)|in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(unordered_pair(unordered_pair(esk289_2(X1,X2),X5),unordered_pair(esk289_2(X1,X2),esk289_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk290_2(X1,X2))|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1614, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3342, lemma, (esk251_2(X2,X3)=esk247_2(X2,X3)|empty(X2)|in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),X3)|~relation(X3)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1615, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3343, lemma, (esk250_2(X2,X3)=esk247_2(X2,X3)|empty(X2)|in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),X3)|~relation(X3)|~in(X1,esk253_4(X2,X3,X4,X5))|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1616, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3344, plain, (in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|esk286_2(X1,X2)!=esk287_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3345, plain, (X4=unordered_triple(X1,X2,X3)|esk37_4(X1,X2,X3,X4)!=X1|~in(esk37_4(X1,X2,X3,X4),X4)), inference(split_conjunct,[status(thm)],[i_0_1594]), ['final']).
% 282.28/198.91 cnf(i_0_3346, plain, (X4=unordered_triple(X1,X2,X3)|esk37_4(X1,X2,X3,X4)!=X2|~in(esk37_4(X1,X2,X3,X4),X4)), inference(split_conjunct,[status(thm)],[i_0_1594]), ['final']).
% 282.28/198.91 cnf(i_0_3347, plain, (X4=unordered_triple(X1,X2,X3)|esk37_4(X1,X2,X3,X4)!=X3|~in(esk37_4(X1,X2,X3,X4),X4)), inference(split_conjunct,[status(thm)],[i_0_1594]), ['final']).
% 282.28/198.91 cnf(i_0_3348, plain, (in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|in(esk291_2(X1,X2),X1)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3349, plain, (in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|in(esk288_2(X1,X2),X1)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3350, lemma, (in(esk259_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk262_2(X2,X3))|X1!=subset_complement(the_carrier(X2),esk263_4(X2,X3,X4,X1))|~one_sorted_str(X2)|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1617, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3351, lemma, (in(esk259_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk262_2(X2,X3))|X1!=subset_complement(the_carrier(X2),esk263_4(X2,X3,X4,X1))|~one_sorted_str(X2)|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1618, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3352, plain, (in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|esk291_2(X1,X2)=esk293_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3353, plain, (in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|esk288_2(X1,X2)=esk290_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3354, plain, (in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|esk285_2(X1,X2)=esk287_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3355, plain, (in(esk297_4(X1,X2,X3,X4),esk298_4(X1,X2,X3,X4))|esk285_2(X1,X2)=esk286_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3356, plain, (empty(X1)|in(esk296_4(X1,X2,X3,X4),X1)|in(unordered_pair(unordered_pair(esk292_2(X1,X2),X5),unordered_pair(esk292_2(X1,X2),esk292_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk293_2(X1,X2))|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1619, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3357, plain, (empty(X1)|in(esk296_4(X1,X2,X3,X4),X1)|in(unordered_pair(unordered_pair(esk289_2(X1,X2),X5),unordered_pair(esk289_2(X1,X2),esk289_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk290_2(X1,X2))|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1620, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3358, plain, (esk298_4(X1,X2,X3,X4)=esk296_4(X1,X2,X3,X4)|empty(X1)|in(unordered_pair(unordered_pair(esk292_2(X1,X2),X5),unordered_pair(esk292_2(X1,X2),esk292_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk293_2(X1,X2))|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1621, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3359, plain, (esk298_4(X1,X2,X3,X4)=esk296_4(X1,X2,X3,X4)|empty(X1)|in(unordered_pair(unordered_pair(esk289_2(X1,X2),X5),unordered_pair(esk289_2(X1,X2),esk289_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk290_2(X1,X2))|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1622, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3360, lemma, (esk266_2(X2,X3)=subset_complement(the_carrier(X2),X5)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk267_2(X2,X3))|X5!=esk264_2(X2,X3)|X1!=subset_complement(the_carrier(X2),esk268_4(X2,X3,X4,X1))|~one_sorted_str(X2)|~in(X4,X3)|~element(X5,powerset(the_carrier(X2)))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1623, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3361, lemma, (esk265_2(X2,X3)=subset_complement(the_carrier(X2),X5)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk267_2(X2,X3))|X5!=esk264_2(X2,X3)|X1!=subset_complement(the_carrier(X2),esk268_4(X2,X3,X4,X1))|~one_sorted_str(X2)|~in(X4,X3)|~element(X5,powerset(the_carrier(X2)))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1624, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3362, plain, (in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2)|~function(X4)|~relation(X5)|~relation(X4)|~relation(X2)|~relation_isomorphism(X2,X5,X4)|~in(X3,relation_field(X2))|~in(X1,relation_field(X2))|~in(unordered_pair(unordered_pair(apply(X4,X1),apply(X4,X3)),unordered_pair(apply(X4,X1),apply(X4,X1))),X5)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1625, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3363, lemma, (in(esk424_4(X1,X2,X3,X4),esk425_4(X1,X2,X3,X4))|empty(X1)|~in(X4,esk422_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_883]), ['final']).
% 282.28/198.91 cnf(i_0_3364, lemma, (in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk262_2(X2,X3))|esk261_2(X2,X3)!=esk260_2(X2,X3)|X1!=subset_complement(the_carrier(X2),esk263_4(X2,X3,X4,X1))|~one_sorted_str(X2)|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1626, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3365, lemma, (in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk275_3(X2,X5,X4))|~function(X4)|~relation(X5)|~relation(X4)|~in(X3,X2)|~in(X1,X2)|~in(unordered_pair(unordered_pair(apply(X4,X1),apply(X4,X3)),unordered_pair(apply(X4,X1),apply(X4,X1))),X5)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1627, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3366, lemma, (in(X1,esk451_3(X2,X6,X5))|X1!=unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3))|~function(X5)|~relation(X6)|~relation(X5)|~in(X1,cartesian_product2(X2,X2))|~in(unordered_pair(unordered_pair(apply(X5,X3),apply(X5,X4)),unordered_pair(apply(X5,X3),apply(X5,X3))),X6)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1628, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3367, plain, (unordered_pair(unordered_pair(esk368_2(X1,X2),esk369_2(X1,X2)),unordered_pair(esk368_2(X1,X2),esk368_2(X1,X2)))=esk365_2(X1,X2)|in(esk371_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1629, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3368, plain, (unordered_pair(unordered_pair(esk366_2(X1,X2),esk367_2(X1,X2)),unordered_pair(esk366_2(X1,X2),esk366_2(X1,X2)))=esk364_2(X1,X2)|in(esk371_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~one_sorted_str(X1)|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1630, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3369, lemma, (X1=esk470_3(X2,X3,X1)|empty(X2)|in(esk468_4(X2,X3,X4,X5),X5)|in(unordered_pair(unordered_pair(esk464_2(X2,X3),X6),unordered_pair(esk464_2(X2,X3),esk464_2(X2,X3))),X3)|esk467_2(X2,X3)!=X5|~relation(X3)|~in(X4,X5)|~in(X1,X2)|~in(X6,esk466_2(X2,X3))), inference(rw,[status(thm)],[i_0_1631, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3370, lemma, (X1=esk470_3(X2,X3,X1)|empty(X2)|in(esk468_4(X2,X3,X4,X5),X5)|in(unordered_pair(unordered_pair(esk463_2(X2,X3),X6),unordered_pair(esk463_2(X2,X3),esk463_2(X2,X3))),X3)|esk467_2(X2,X3)!=X5|~relation(X3)|~in(X4,X5)|~in(X1,X2)|~in(X6,esk465_2(X2,X3))), inference(rw,[status(thm)],[i_0_1632, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3371, lemma, (in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk267_2(X2,X3))|esk266_2(X2,X3)!=esk265_2(X2,X3)|X1!=subset_complement(the_carrier(X2),esk268_4(X2,X3,X4,X1))|~one_sorted_str(X2)|~in(X4,X3)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1633, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3372, lemma, (in(esk264_2(X2,X3),X3)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk267_2(X2,X3))|X1!=subset_complement(the_carrier(X2),esk268_4(X2,X3,X4,X1))|~one_sorted_str(X2)|~in(X4,X3)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1634, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3373, lemma, (in(esk264_2(X2,X3),X3)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk267_2(X2,X3))|X1!=subset_complement(the_carrier(X2),esk268_4(X2,X3,X4,X1))|~one_sorted_str(X2)|~in(X4,X3)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(rw,[status(thm)],[i_0_1635, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3374, plain, (in(X1,esk360_2(X2,X3))|esk359_2(X2,X3)=subset_complement(the_carrier(X2),X5)|X1!=subset_complement(the_carrier(X2),esk362_4(X2,X3,X1,X4))|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~element(X5,powerset(the_carrier(X2)))|X5!=esk357_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3375, plain, (in(X1,esk360_2(X2,X3))|esk358_2(X2,X3)=subset_complement(the_carrier(X2),X5)|X1!=subset_complement(the_carrier(X2),esk362_4(X2,X3,X1,X4))|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~element(X5,powerset(the_carrier(X2)))|X5!=esk357_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3376, plain, (X2=relation_inverse(X1)|in(unordered_pair(unordered_pair(esk121_2(X1,X2),esk122_2(X1,X2)),unordered_pair(esk121_2(X1,X2),esk121_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(esk122_2(X1,X2),esk121_2(X1,X2)),unordered_pair(esk122_2(X1,X2),esk122_2(X1,X2))),X1)|~relation(X2)|~relation(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1637, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3377, plain, (X1=X2|in(unordered_pair(unordered_pair(esk73_2(X1,X2),esk74_2(X1,X2)),unordered_pair(esk73_2(X1,X2),esk73_2(X1,X2))),X2)|in(unordered_pair(unordered_pair(esk73_2(X1,X2),esk74_2(X1,X2)),unordered_pair(esk73_2(X1,X2),esk73_2(X1,X2))),X1)|~relation(X2)|~relation(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1638, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3378, plain, (X3=relation_image(X1,X2)|~relation(X1)|~in(X4,X2)|~in(esk26_3(X1,X2,X3),X3)|~in(unordered_pair(unordered_pair(X4,esk26_3(X1,X2,X3)),unordered_pair(X4,X4)),X1)), inference(rw,[status(thm)],[i_0_1639, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3379, plain, (unordered_pair(unordered_pair(esk368_2(X1,X2),esk369_2(X1,X2)),unordered_pair(esk368_2(X1,X2),esk368_2(X1,X2)))=esk365_2(X1,X2)|in(esk372_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1640, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3380, plain, (unordered_pair(unordered_pair(esk366_2(X1,X2),esk367_2(X1,X2)),unordered_pair(esk366_2(X1,X2),esk366_2(X1,X2)))=esk364_2(X1,X2)|in(esk372_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1641, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3381, lemma, (relation_dom(esk469_2(X1,X2))=X1|empty(X1)|in(esk468_4(X1,X2,X3,X4),X4)|in(unordered_pair(unordered_pair(esk464_2(X1,X2),X5),unordered_pair(esk464_2(X1,X2),esk464_2(X1,X2))),X2)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(X5,esk466_2(X1,X2))), inference(rw,[status(thm)],[i_0_1642, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3382, lemma, (relation_dom(esk469_2(X1,X2))=X1|empty(X1)|in(esk468_4(X1,X2,X3,X4),X4)|in(unordered_pair(unordered_pair(esk463_2(X1,X2),X5),unordered_pair(esk463_2(X1,X2),esk463_2(X1,X2))),X2)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(X5,esk465_2(X1,X2))), inference(rw,[status(thm)],[i_0_1643, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3383, lemma, (empty(X1)|relation(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|in(unordered_pair(unordered_pair(esk464_2(X1,X2),X5),unordered_pair(esk464_2(X1,X2),esk464_2(X1,X2))),X2)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(X5,esk466_2(X1,X2))), inference(rw,[status(thm)],[i_0_1644, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3384, lemma, (empty(X1)|relation(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|in(unordered_pair(unordered_pair(esk463_2(X1,X2),X5),unordered_pair(esk463_2(X1,X2),esk463_2(X1,X2))),X2)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(X5,esk465_2(X1,X2))), inference(rw,[status(thm)],[i_0_1645, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3385, lemma, (empty(X1)|function(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|in(unordered_pair(unordered_pair(esk464_2(X1,X2),X5),unordered_pair(esk464_2(X1,X2),esk464_2(X1,X2))),X2)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(X5,esk466_2(X1,X2))), inference(rw,[status(thm)],[i_0_1646, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3386, lemma, (empty(X1)|function(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|in(unordered_pair(unordered_pair(esk463_2(X1,X2),X5),unordered_pair(esk463_2(X1,X2),esk463_2(X1,X2))),X2)|esk467_2(X1,X2)!=X4|~relation(X2)|~in(X3,X4)|~in(X5,esk465_2(X1,X2))), inference(rw,[status(thm)],[i_0_1647, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3387, plain, (X3=cartesian_product2(X1,X2)|esk85_3(X1,X2,X3)=unordered_pair(unordered_pair(esk86_3(X1,X2,X3),esk87_3(X1,X2,X3)),unordered_pair(esk86_3(X1,X2,X3),esk86_3(X1,X2,X3)))|in(esk85_3(X1,X2,X3),X3)), inference(rw,[status(thm)],[i_0_1648, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3388, plain, (unordered_pair(unordered_pair(esk386_2(X1,X2),esk387_2(X1,X2)),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2)))=esk383_2(X1,X2)|in(esk389_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1649, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3389, plain, (unordered_pair(unordered_pair(esk384_2(X1,X2),esk385_2(X1,X2)),unordered_pair(esk384_2(X1,X2),esk384_2(X1,X2)))=esk382_2(X1,X2)|in(esk389_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~one_sorted_str(X1)|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1650, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3390, plain, (esk391_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|esk387_2(X2,X3)=subset_complement(the_carrier(X2),X6)|~element(X1,powerset(the_carrier(X2)))|X1!=esk390_4(X2,X3,X4,X5)|~in(X5,esk388_3(X2,X3,X4))|~element(X6,powerset(the_carrier(X2)))|X6!=esk386_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3391, plain, (esk391_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|esk385_2(X2,X3)=subset_complement(the_carrier(X2),X6)|~element(X1,powerset(the_carrier(X2)))|X1!=esk390_4(X2,X3,X4,X5)|~in(X5,esk388_3(X2,X3,X4))|~element(X6,powerset(the_carrier(X2)))|X6!=esk384_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3392, plain, (esk373_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|esk369_2(X2,X3)=subset_complement(the_carrier(X2),X6)|~element(X1,powerset(the_carrier(X2)))|X1!=esk372_4(X2,X3,X4,X5)|~in(X5,esk370_3(X2,X3,X4))|~element(X6,powerset(the_carrier(X2)))|X6!=esk368_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3393, plain, (esk373_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|esk367_2(X2,X3)=subset_complement(the_carrier(X2),X6)|~element(X1,powerset(the_carrier(X2)))|X1!=esk372_4(X2,X3,X4,X5)|~in(X5,esk370_3(X2,X3,X4))|~element(X6,powerset(the_carrier(X2)))|X6!=esk366_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3394, plain, (in(X1,esk360_2(X2,X3))|in(esk357_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|X1!=subset_complement(the_carrier(X2),esk362_4(X2,X3,X1,X4))|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3395, plain, (in(X1,esk360_2(X2,X3))|in(esk357_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|X1!=subset_complement(the_carrier(X2),esk362_4(X2,X3,X1,X4))|~in(X4,complements_of_subsets(the_carrier(X2),X3))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3396, plain, (unordered_pair(unordered_pair(esk321_1(X1),esk322_1(X1)),unordered_pair(esk321_1(X1),esk321_1(X1)))=esk318_1(X1)|unordered_pair(unordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3)),unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3)))=X3|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1651, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3397, plain, (unordered_pair(unordered_pair(esk319_1(X1),esk320_1(X1)),unordered_pair(esk319_1(X1),esk319_1(X1)))=esk317_1(X1)|unordered_pair(unordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3)),unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3)))=X3|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1652, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3398, plain, (element(esk310_4(X1,X2,X3,X4),the_carrier(X1))|relstr_set_smaller(X1,esk305_3(X1,X2,X3),esk306_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3399, plain, (element(esk310_4(X1,X2,X3,X4),the_carrier(X1))|relstr_set_smaller(X1,esk303_3(X1,X2,X3),esk304_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3400, plain, (in(esk308_4(X1,X2,X3,X4),powerset(X3))|relstr_set_smaller(X1,esk305_3(X1,X2,X3),esk306_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3401, plain, (in(esk308_4(X1,X2,X3,X4),powerset(X3))|relstr_set_smaller(X1,esk303_3(X1,X2,X3),esk304_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3402, plain, (unordered_pair(unordered_pair(esk386_2(X1,X2),esk387_2(X1,X2)),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2)))=esk383_2(X1,X2)|in(esk390_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1653, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3403, plain, (unordered_pair(unordered_pair(esk384_2(X1,X2),esk385_2(X1,X2)),unordered_pair(esk384_2(X1,X2),esk384_2(X1,X2)))=esk382_2(X1,X2)|in(esk390_4(X1,X2,X3,X4),X2)|~one_sorted_str(X1)|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1654, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3404, plain, (empty(X2)|~empty_carrier(net_str_of(X1,X2,X3,X4))|~one_sorted_str(X1)|~relation_of2(X3,X2,X2)|~function(X4)|~quasi_total(X4,X2,the_carrier(X1))|~relation_of2(X4,X2,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_1655]), ['final']).
% 282.28/198.91 cnf(i_0_3405, plain, (in(X1,esk378_2(X2,X3))|esk377_2(X2,X3)=subset_complement(the_carrier(X2),X5)|X1!=subset_complement(the_carrier(X2),esk380_4(X2,X3,X1,X4))|~in(X4,X3)|~element(X5,powerset(the_carrier(X2)))|X5!=esk375_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3406, plain, (in(X1,esk378_2(X2,X3))|esk376_2(X2,X3)=subset_complement(the_carrier(X2),X5)|X1!=subset_complement(the_carrier(X2),esk380_4(X2,X3,X1,X4))|~in(X4,X3)|~element(X5,powerset(the_carrier(X2)))|X5!=esk375_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3407, plain, (in(esk310_4(X1,X2,X3,X4),X2)|relstr_set_smaller(X1,esk305_3(X1,X2,X3),esk306_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3408, plain, (in(esk310_4(X1,X2,X3,X4),X2)|relstr_set_smaller(X1,esk303_3(X1,X2,X3),esk304_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3409, plain, (esk373_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|in(esk368_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|~element(X1,powerset(the_carrier(X2)))|X1!=esk372_4(X2,X3,X4,X5)|~in(X5,esk370_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3410, plain, (esk373_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|in(esk366_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|~element(X1,powerset(the_carrier(X2)))|X1!=esk372_4(X2,X3,X4,X5)|~in(X5,esk370_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3411, plain, (X1=X2|net_str_of(X1,X3,X4,X5)!=net_str_of(X2,X6,X7,X8)|~one_sorted_str(X1)|~relation_of2(X4,X3,X3)|~function(X5)|~quasi_total(X5,X3,the_carrier(X1))|~relation_of2(X5,X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_1657]), ['final']).
% 282.28/198.91 cnf(i_0_3412, plain, (X1=X2|net_str_of(X3,X1,X4,X5)!=net_str_of(X6,X2,X7,X8)|~one_sorted_str(X3)|~relation_of2(X4,X1,X1)|~function(X5)|~quasi_total(X5,X1,the_carrier(X3))|~relation_of2(X5,X1,the_carrier(X3))), inference(split_conjunct,[status(thm)],[i_0_1657]), ['final']).
% 282.28/198.91 cnf(i_0_3413, plain, (X1=X2|net_str_of(X3,X4,X1,X5)!=net_str_of(X6,X7,X2,X8)|~one_sorted_str(X3)|~relation_of2(X1,X4,X4)|~function(X5)|~quasi_total(X5,X4,the_carrier(X3))|~relation_of2(X5,X4,the_carrier(X3))), inference(split_conjunct,[status(thm)],[i_0_1657]), ['final']).
% 282.28/198.91 cnf(i_0_3414, plain, (X1=X2|net_str_of(X3,X4,X5,X1)!=net_str_of(X6,X7,X8,X2)|~one_sorted_str(X3)|~relation_of2(X5,X4,X4)|~function(X1)|~quasi_total(X1,X4,the_carrier(X3))|~relation_of2(X1,X4,the_carrier(X3))), inference(split_conjunct,[status(thm)],[i_0_1657]), ['final']).
% 282.28/198.91 cnf(i_0_3415, plain, (in(X1,esk360_2(X2,X3))|X1!=subset_complement(the_carrier(X2),esk362_4(X2,X3,X1,X4))|~in(X4,complements_of_subsets(the_carrier(X2),X3))|esk358_2(X2,X3)!=esk359_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3416, plain, (in(X2,esk330_1(X1))|epred2_3(esk329_1(X1),esk328_1(X1),esk327_1(X1))|in(esk335_4(X1,X2,X3,X4),esk334_3(X1,X2,X3))|X2!=X5|X2!=X3|~ordinal(X3)|~ordinal(X1)|~in(X4,esk334_3(X1,X2,X3))|~in(X5,set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_1658, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3417, lemma, (X1=esk253_4(X2,X3,X1,X4)|empty(X2)|in(unordered_pair(unordered_pair(esk249_2(X2,X3),X5),unordered_pair(esk249_2(X2,X3),esk249_2(X2,X3))),X3)|~relation(X3)|~in(X5,esk251_2(X2,X3))|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk252_2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1660, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3418, lemma, (X1=esk253_4(X2,X3,X1,X4)|empty(X2)|in(unordered_pair(unordered_pair(esk248_2(X2,X3),X5),unordered_pair(esk248_2(X2,X3),esk248_2(X2,X3))),X3)|~relation(X3)|~in(X5,esk250_2(X2,X3))|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk252_2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1661, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3419, plain, (in(X4,X3)|empty_carrier(X2)|empty_carrier(X1)|~is_eventually_in(X1,X2,esk34_4(X1,X2,X3,X4))|~element(X4,the_carrier(X1))|X3!=lim_points_of_net(X1,X2)|~element(X3,powerset(the_carrier(X1)))|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1662]), ['final']).
% 282.28/198.91 cnf(i_0_3420, plain, (esk391_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|~element(X1,powerset(the_carrier(X2)))|X1!=esk390_4(X2,X3,X4,X5)|~in(X5,esk388_3(X2,X3,X4))|esk382_2(X2,X3)!=esk383_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3421, plain, (esk373_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|~element(X1,powerset(the_carrier(X2)))|X1!=esk372_4(X2,X3,X4,X5)|~in(X5,esk370_3(X2,X3,X4))|esk364_2(X2,X3)!=esk365_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3422, lemma, (relation_rng_as_subset(X2,X3,X4)=X3|~relation_of2_as_subset(X4,X2,X3)|~in(unordered_pair(unordered_pair(X1,esk512_3(X2,X3,X4)),unordered_pair(X1,X1)),X4)), inference(rw,[status(thm)],[i_0_1663, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3423, plain, (esk391_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|in(esk386_2(X2,X3),X3)|~element(X1,powerset(the_carrier(X2)))|X1!=esk390_4(X2,X3,X4,X5)|~in(X5,esk388_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3424, plain, (esk391_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|in(esk384_2(X2,X3),X3)|~element(X1,powerset(the_carrier(X2)))|X1!=esk390_4(X2,X3,X4,X5)|~in(X5,esk388_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3425, plain, (in(esk413_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|in(relation_image(X3,esk411_3(X1,X2,X3)),X2)|~in(X4,esk412_3(X1,X2,X3))|~element(X2,powerset(powerset(X1)))|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3426, plain, (in(esk413_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|in(relation_image(X3,esk410_3(X1,X2,X3)),X2)|~in(X4,esk412_3(X1,X2,X3))|~element(X2,powerset(powerset(X1)))|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3427, plain, (esk391_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|esk381_2(X2,X3)=esk383_2(X2,X3)|~element(X1,powerset(the_carrier(X2)))|X1!=esk390_4(X2,X3,X4,X5)|~in(X5,esk388_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3428, plain, (esk391_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|esk381_2(X2,X3)=esk382_2(X2,X3)|~element(X1,powerset(the_carrier(X2)))|X1!=esk390_4(X2,X3,X4,X5)|~in(X5,esk388_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3429, plain, (esk373_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|esk363_2(X2,X3)=esk365_2(X2,X3)|~element(X1,powerset(the_carrier(X2)))|X1!=esk372_4(X2,X3,X4,X5)|~in(X5,esk370_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3430, plain, (esk373_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|esk363_2(X2,X3)=esk364_2(X2,X3)|~element(X1,powerset(the_carrier(X2)))|X1!=esk372_4(X2,X3,X4,X5)|~in(X5,esk370_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3431, plain, (unordered_pair(unordered_pair(esk291_2(X1,X2),esk292_2(X1,X2)),unordered_pair(esk291_2(X1,X2),esk291_2(X1,X2)))=esk287_2(X1,X2)|empty(X1)|in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1665, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3432, plain, (unordered_pair(unordered_pair(esk288_2(X1,X2),esk289_2(X1,X2)),unordered_pair(esk288_2(X1,X2),esk288_2(X1,X2)))=esk286_2(X1,X2)|empty(X1)|in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1666, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3433, plain, (esk322_1(X1)=unordered_pair(esk321_1(X1),esk321_1(X1))|unordered_pair(unordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3)),unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3)))=X3|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1667, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3434, plain, (esk320_1(X1)=unordered_pair(esk319_1(X1),esk319_1(X1))|unordered_pair(unordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3)),unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3)))=X3|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1668, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3435, plain, (in(X1,esk378_2(X2,X3))|X1!=subset_complement(the_carrier(X2),esk380_4(X2,X3,X1,X4))|~in(X4,X3)|esk376_2(X2,X3)!=esk377_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3436, plain, (X2=the_InternalRel(incl_POSet(X1))|relation_field(X2)!=X1|~relation(X2)|~subset(esk62_2(X1,X2),esk63_2(X1,X2))|~in(unordered_pair(unordered_pair(esk62_2(X1,X2),esk63_2(X1,X2)),unordered_pair(esk62_2(X1,X2),esk62_2(X1,X2))),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1669, c_0_1670]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3437, plain, (in(X1,esk378_2(X2,X3))|in(esk375_2(X2,X3),X3)|X1!=subset_complement(the_carrier(X2),esk380_4(X2,X3,X1,X4))|~in(X4,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3438, plain, (in(X1,esk378_2(X2,X3))|in(esk375_2(X2,X3),X3)|X1!=subset_complement(the_carrier(X2),esk380_4(X2,X3,X1,X4))|~in(X4,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3439, plain, (in(esk371_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|esk369_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk370_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk368_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3440, plain, (in(esk371_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|esk367_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk370_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk366_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3441, plain, (unordered_pair(unordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3)),unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3)))=X3|in(esk321_1(X1),X1)|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_1671, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3442, plain, (unordered_pair(unordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3)),unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3)))=X3|in(esk319_1(X1),X1)|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_1672, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3443, plain, (in(X2,esk330_1(X1))|in(esk335_4(X1,X2,X3,X4),esk334_3(X1,X2,X3))|X2!=X5|X2!=X3|esk329_1(X1)!=esk328_1(X1)|~ordinal(X3)|~ordinal(X1)|~in(X4,esk334_3(X1,X2,X3))|~in(X5,set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_1673, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3444, plain, (X2=identity_relation(X1)|esk2_2(X1,X2)!=esk1_2(X1,X2)|~relation(X2)|~in(esk1_2(X1,X2),X1)|~in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2))),X2)), inference(rw,[status(thm)],[i_0_1674, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3445, plain, (unordered_pair(unordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3)),unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3)))=X3|esk318_1(X1)!=esk317_1(X1)|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_1675, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3446, lemma, (esk449_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|~element(X1,powerset(the_carrier(X2)))|X1!=esk448_4(X2,X3,X4,X5)|~in(X5,esk447_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_889]), ['final']).
% 282.28/198.91 cnf(i_0_3447, lemma, (esk445_4(X2,X3,X4,X5)=subset_complement(the_carrier(X2),X1)|~element(X1,powerset(the_carrier(X2)))|X1!=esk444_4(X2,X3,X4,X5)|~in(X5,esk443_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_888]), ['final']).
% 282.28/198.91 cnf(i_0_3448, plain, (unordered_pair(unordered_pair(esk291_2(X1,X2),esk292_2(X1,X2)),unordered_pair(esk291_2(X1,X2),esk291_2(X1,X2)))=esk287_2(X1,X2)|empty(X1)|in(esk296_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1676, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3449, plain, (unordered_pair(unordered_pair(esk288_2(X1,X2),esk289_2(X1,X2)),unordered_pair(esk288_2(X1,X2),esk288_2(X1,X2)))=esk286_2(X1,X2)|empty(X1)|in(esk296_4(X1,X2,X3,X4),X1)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1677, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3450, plain, (esk318_1(X1)=esk316_1(X1)|unordered_pair(unordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3)),unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3)))=X3|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_1678, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3451, plain, (esk317_1(X1)=esk316_1(X1)|unordered_pair(unordered_pair(esk325_3(X1,X2,X3),esk326_3(X1,X2,X3)),unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3)))=X3|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_1679, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3452, lemma, (in(X2,esk433_1(X1))|in(esk437_4(X1,X2,X3,X4),esk436_3(X1,X2,X3))|X2!=X3|~ordinal(X3)|~ordinal(X1)|~in(X4,esk436_3(X1,X2,X3))|~in(X2,set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_1680, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3453, plain, (element(esk310_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|esk301_3(X1,X2,X3)!=esk302_3(X1,X2,X3)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3454, plain, (in(esk308_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|esk301_3(X1,X2,X3)!=esk302_3(X1,X2,X3)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3455, lemma, (esk261_2(X1,X2)=subset_complement(the_carrier(X1),X5)|element(esk263_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X1,X2))|X5!=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(X5,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1681, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3456, lemma, (esk260_2(X1,X2)=subset_complement(the_carrier(X1),X5)|element(esk263_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X1,X2))|X5!=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(X5,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1682, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3457, plain, (esk298_4(X1,X2,X3,X4)=esk296_4(X1,X2,X3,X4)|unordered_pair(unordered_pair(esk291_2(X1,X2),esk292_2(X1,X2)),unordered_pair(esk291_2(X1,X2),esk291_2(X1,X2)))=esk287_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1683, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3458, plain, (esk298_4(X1,X2,X3,X4)=esk296_4(X1,X2,X3,X4)|unordered_pair(unordered_pair(esk288_2(X1,X2),esk289_2(X1,X2)),unordered_pair(esk288_2(X1,X2),esk288_2(X1,X2)))=esk286_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1684, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3459, lemma, (unordered_pair(unordered_pair(esk431_3(X1,X2,X3),esk432_3(X1,X2,X3)),unordered_pair(esk431_3(X1,X2,X3),esk431_3(X1,X2,X3)))=X3|~in(X3,esk430_2(X1,X2))), inference(rw,[status(thm)],[i_0_1685, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3460, lemma, (below_refl(X1,X2,X3)|empty_carrier(X1)|~in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1))|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1686]), ['final']).
% 282.28/198.91 cnf(i_0_3461, plain, (in(esk310_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|esk301_3(X1,X2,X3)!=esk302_3(X1,X2,X3)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3462, plain, (in(esk371_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|in(esk368_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3463, plain, (in(esk371_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|in(esk366_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3464, lemma, (in(unordered_pair(unordered_pair(apply(X1,X2),apply(X1,X3)),unordered_pair(apply(X1,X2),apply(X1,X2))),X4)|~function(X1)|~relation(X4)|~relation(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),esk275_3(X5,X4,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1687, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3465, plain, (esk295_4(X1,X2,X3,X4)=X4|empty(X1)|in(unordered_pair(unordered_pair(esk292_2(X1,X2),X5),unordered_pair(esk292_2(X1,X2),esk292_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk293_2(X1,X2))|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1688, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3466, plain, (esk295_4(X1,X2,X3,X4)=X4|empty(X1)|in(unordered_pair(unordered_pair(esk289_2(X1,X2),X5),unordered_pair(esk289_2(X1,X2),esk289_2(X1,X2))),X2)|~relation(X2)|~in(X5,esk290_2(X1,X2))|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1689, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3467, plain, (in(X3,esk330_1(X2))|subset(X1,esk335_4(X2,X3,X4,X1))|epred2_3(esk329_1(X2),esk328_1(X2),esk327_1(X2))|X3!=X5|X3!=X4|~ordinal(X4)|~ordinal(X2)|~in(X1,esk334_3(X2,X3,X4))|~in(X5,set_union2(X2,unordered_pair(X2,X2)))), inference(rw,[status(thm)],[i_0_1690, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3468, lemma, (in(esk259_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|element(esk263_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X1,X2))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1691, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3469, lemma, (in(esk259_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|element(esk263_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X1,X2))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1692, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3470, plain, (in(esk413_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|~in(X4,esk412_3(X1,X2,X3))|esk410_3(X1,X2,X3)!=esk411_3(X1,X2,X3)|~element(X2,powerset(powerset(X1)))|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3471, plain, (in(esk372_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|esk369_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk370_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk368_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3472, plain, (in(esk372_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|esk367_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk370_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk366_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3473, plain, (in(esk371_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|~in(X4,esk370_3(X1,X2,X3))|esk364_2(X1,X2)!=esk365_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3474, plain, (element(esk310_4(X1,X2,X3,X4),the_carrier(X1))|element(esk306_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3475, plain, (in(esk308_4(X1,X2,X3,X4),powerset(X3))|element(esk306_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3476, plain, (element(esk310_4(X1,X2,X3,X4),the_carrier(X1))|element(esk304_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3477, plain, (in(esk308_4(X1,X2,X3,X4),powerset(X3))|element(esk304_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3478, plain, (in(esk310_4(X1,X2,X3,X4),X2)|element(esk306_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3479, plain, (in(esk310_4(X1,X2,X3,X4),X2)|element(esk304_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3480, plain, (element(esk310_4(X1,X2,X3,X4),the_carrier(X1))|in(esk306_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3481, plain, (in(esk308_4(X1,X2,X3,X4),powerset(X3))|in(esk306_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3482, plain, (element(esk310_4(X1,X2,X3,X4),the_carrier(X1))|in(esk304_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3483, plain, (in(esk308_4(X1,X2,X3,X4),powerset(X3))|in(esk304_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3484, plain, (in(esk389_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|esk387_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk388_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk386_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3485, plain, (in(esk389_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|esk385_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk388_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk384_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3486, plain, (in(esk310_4(X1,X2,X3,X4),X2)|in(esk306_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3487, plain, (in(esk310_4(X1,X2,X3,X4),X2)|in(esk304_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3488, plain, (empty(X2)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X3)|in(unordered_pair(unordered_pair(esk278_2(X2,X3),X5),unordered_pair(esk278_2(X2,X3),esk278_2(X2,X3))),X3)|~relation(X3)|~in(X5,esk280_2(X2,X3))|~in(X4,esk281_2(X2,X3))|~in(X1,esk283_3(X2,X3,X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1693, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3489, plain, (empty(X2)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X3)|in(unordered_pair(unordered_pair(esk277_2(X2,X3),X5),unordered_pair(esk277_2(X2,X3),esk277_2(X2,X3))),X3)|~relation(X3)|~in(X5,esk279_2(X2,X3))|~in(X4,esk281_2(X2,X3))|~in(X1,esk283_3(X2,X3,X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1694, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3490, lemma, (esk266_2(X1,X2)=subset_complement(the_carrier(X1),X5)|element(esk268_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X1,X2))|X5!=esk264_2(X1,X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(X5,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1695, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3491, lemma, (esk265_2(X1,X2)=subset_complement(the_carrier(X1),X5)|element(esk268_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X1,X2))|X5!=esk264_2(X1,X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(X5,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1696, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3492, plain, (in(esk371_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|esk363_2(X1,X2)=esk365_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3493, plain, (in(esk371_4(X1,X2,X3,X4),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))|esk363_2(X1,X2)=esk364_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3494, plain, (element(esk310_4(X1,X2,X3,X4),the_carrier(X1))|esk305_3(X1,X2,X3)=esk302_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3495, plain, (in(esk308_4(X1,X2,X3,X4),powerset(X3))|esk305_3(X1,X2,X3)=esk302_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3496, plain, (element(esk310_4(X1,X2,X3,X4),the_carrier(X1))|esk303_3(X1,X2,X3)=esk301_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3497, plain, (in(esk308_4(X1,X2,X3,X4),powerset(X3))|esk303_3(X1,X2,X3)=esk301_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3498, plain, (element(esk310_4(X1,X2,X3,X4),the_carrier(X1))|esk300_3(X1,X2,X3)=esk302_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3499, plain, (in(esk308_4(X1,X2,X3,X4),powerset(X3))|esk300_3(X1,X2,X3)=esk302_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3500, plain, (element(esk310_4(X1,X2,X3,X4),the_carrier(X1))|esk300_3(X1,X2,X3)=esk301_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3501, plain, (in(esk308_4(X1,X2,X3,X4),powerset(X3))|esk300_3(X1,X2,X3)=esk301_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3502, lemma, (element(esk263_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X1,X2))|esk261_2(X1,X2)!=esk260_2(X1,X2)|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1697, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3503, plain, (in(esk310_4(X1,X2,X3,X4),X2)|esk305_3(X1,X2,X3)=esk302_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3504, plain, (in(esk310_4(X1,X2,X3,X4),X2)|esk303_3(X1,X2,X3)=esk301_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3505, plain, (in(esk310_4(X1,X2,X3,X4),X2)|esk300_3(X1,X2,X3)=esk302_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3506, plain, (in(esk310_4(X1,X2,X3,X4),X2)|esk300_3(X1,X2,X3)=esk301_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3507, plain, (in(esk401_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|~in(X4,esk400_3(X1,X2,X3))|esk394_3(X1,X2,X3)!=esk395_3(X1,X2,X3)|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_885]), ['final']).
% 282.28/198.91 cnf(i_0_3508, plain, (in(esk372_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|in(esk368_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3509, plain, (in(esk372_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|in(esk366_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3510, plain, (subset(X1,X2)|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk92_2(X1,X2),esk93_2(X1,X2)),unordered_pair(esk92_2(X1,X2),esk92_2(X1,X2))),X2)), inference(rw,[status(thm)],[i_0_1698, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3511, plain, (in(esk390_4(X1,X2,X3,X4),X2)|esk387_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk388_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk386_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3512, plain, (in(esk390_4(X1,X2,X3,X4),X2)|esk385_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk388_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk384_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3513, plain, (in(unordered_pair(unordered_pair(apply(X1,X2),apply(X1,X3)),unordered_pair(apply(X1,X2),apply(X1,X2))),X4)|~function(X1)|~relation(X5)|~relation(X4)|~relation(X1)|~relation_isomorphism(X5,X4,X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X5)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1699, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3514, plain, (is_reflexive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk52_2(X1,X2),esk52_2(X1,X2)),unordered_pair(esk52_2(X1,X2),esk52_2(X1,X2))),X1)), inference(rw,[status(thm)],[i_0_1700, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3515, plain, (is_transitive_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk141_2(X1,X2),esk143_2(X1,X2)),unordered_pair(esk141_2(X1,X2),esk141_2(X1,X2))),X1)), inference(rw,[status(thm)],[i_0_1701, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3516, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk120_2(X1,X2),esk119_2(X1,X2)),unordered_pair(esk120_2(X1,X2),esk120_2(X1,X2))),X1)), inference(rw,[status(thm)],[i_0_1702, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3517, plain, (is_connected_in(X1,X2)|~relation(X1)|~in(unordered_pair(unordered_pair(esk119_2(X1,X2),esk120_2(X1,X2)),unordered_pair(esk119_2(X1,X2),esk119_2(X1,X2))),X1)), inference(rw,[status(thm)],[i_0_1703, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3518, plain, (in(X3,esk330_1(X2))|subset(X1,esk335_4(X2,X3,X4,X1))|X3!=X5|X3!=X4|esk329_1(X2)!=esk328_1(X2)|~ordinal(X4)|~ordinal(X2)|~in(X1,esk334_3(X2,X3,X4))|~in(X5,set_union2(X2,unordered_pair(X2,X2)))), inference(rw,[status(thm)],[i_0_1704, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3519, plain, (in(esk413_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|esk409_3(X1,X2,X3)=esk411_3(X1,X2,X3)|~in(X4,esk412_3(X1,X2,X3))|~element(X2,powerset(powerset(X1)))|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3520, plain, (in(esk413_4(X1,X2,X3,X4),powerset(relation_dom(X3)))|esk409_3(X1,X2,X3)=esk410_3(X1,X2,X3)|~in(X4,esk412_3(X1,X2,X3))|~element(X2,powerset(powerset(X1)))|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3521, lemma, (in(X3,esk433_1(X2))|subset(X1,esk437_4(X2,X3,X4,X1))|X3!=X4|~ordinal(X4)|~ordinal(X2)|~in(X1,esk436_3(X2,X3,X4))|~in(X3,set_union2(X2,unordered_pair(X2,X2)))), inference(rw,[status(thm)],[i_0_1705, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3522, plain, (in(esk372_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk370_3(X1,X2,X3))|esk364_2(X1,X2)!=esk365_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3523, plain, (in(esk389_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|~in(X4,esk388_3(X1,X2,X3))|esk382_2(X1,X2)!=esk383_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3524, plain, (in(esk372_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|esk363_2(X1,X2)=esk365_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3525, plain, (in(esk372_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|esk363_2(X1,X2)=esk364_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3526, plain, (in(esk389_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|in(esk386_2(X1,X2),X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3527, plain, (in(esk389_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|in(esk384_2(X1,X2),X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3528, lemma, (element(esk268_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X1,X2))|esk266_2(X1,X2)!=esk265_2(X1,X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1706, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3529, lemma, (in(esk264_2(X1,X2),X2)|element(esk268_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X1,X2))|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1707, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3530, lemma, (in(esk264_2(X1,X2),X2)|element(esk268_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X1,X2))|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1708, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3531, plain, (element(esk362_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk360_2(X1,X2))|esk359_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X5,powerset(the_carrier(X1)))|X5!=esk357_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3532, plain, (element(esk362_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk360_2(X1,X2))|esk358_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X5,powerset(the_carrier(X1)))|X5!=esk357_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3533, plain, (in(esk401_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|esk393_3(X1,X2,X3)=esk395_3(X1,X2,X3)|~in(X4,esk400_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_885]), ['final']).
% 282.28/198.91 cnf(i_0_3534, plain, (in(esk401_4(X1,X2,X3,X4),cartesian_product2(X1,X1))|esk393_3(X1,X2,X3)=esk394_3(X1,X2,X3)|~in(X4,esk400_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_885]), ['final']).
% 282.28/198.91 cnf(i_0_3535, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk468_4(X1,X2,X4,X5),X5)|in(esk464_2(X1,X2),esk466_2(X1,X2))|empty(X1)|~in(X3,X1)|esk467_2(X1,X2)!=X5|~in(X4,X5)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3536, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk468_4(X1,X2,X4,X5),X5)|in(esk463_2(X1,X2),esk465_2(X1,X2))|empty(X1)|~in(X3,X1)|esk467_2(X1,X2)!=X5|~in(X4,X5)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3537, lemma, (empty(X2)|in(X1,esk253_4(X2,X3,X4,X1))|in(esk249_2(X2,X3),esk251_2(X2,X3))|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[i_0_1709, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3538, lemma, (empty(X2)|in(X1,esk253_4(X2,X3,X4,X1))|in(esk248_2(X2,X3),esk250_2(X2,X3))|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[i_0_1710, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3539, plain, (in(esk389_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|esk381_2(X1,X2)=esk383_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3540, plain, (in(esk389_4(X1,X2,X3,X4),cartesian_product2(X2,X3))|esk381_2(X1,X2)=esk382_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3541, plain, (in(X2,esk330_1(X1))|epred2_3(esk329_1(X1),esk328_1(X1),esk327_1(X1))|X2!=X5|X2!=X3|esk335_4(X1,X2,X3,X4)!=X4|~ordinal(X3)|~ordinal(X1)|~in(X4,esk334_3(X1,X2,X3))|~in(X5,set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_1711, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3542, plain, (X1=set_difference(esk356_3(X2,X3,X1),unordered_pair(X2,X2))|esk351_2(X2,X3)=set_difference(esk353_2(X2,X3),unordered_pair(X2,X2))|~ordinal(X2)|~in(X1,esk354_2(X2,X3))|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1712, c_0_882]), c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3543, plain, (X1=set_difference(esk356_3(X2,X3,X1),unordered_pair(X2,X2))|esk350_2(X2,X3)=set_difference(esk352_2(X2,X3),unordered_pair(X2,X2))|~ordinal(X2)|~in(X1,esk354_2(X2,X3))|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1713, c_0_882]), c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3544, plain, (in(esk390_4(X1,X2,X3,X4),X2)|~in(X4,esk388_3(X1,X2,X3))|esk382_2(X1,X2)!=esk383_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3545, plain, (in(esk390_4(X1,X2,X3,X4),X2)|in(esk386_2(X1,X2),X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3546, plain, (in(esk390_4(X1,X2,X3,X4),X2)|in(esk384_2(X1,X2),X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3547, lemma, (in(esk444_4(X1,X2,X3,X4),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk443_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_888]), ['final']).
% 282.28/198.91 cnf(i_0_3548, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk468_4(X1,X2,X4,X5),X5)|empty(X1)|~in(X3,X1)|esk467_2(X1,X2)!=X5|~in(X4,X5)|esk463_2(X1,X2)!=esk464_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3549, lemma, (empty(X2)|in(X1,esk253_4(X2,X3,X4,X1))|esk249_2(X2,X3)!=esk248_2(X2,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[i_0_1714, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3550, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk468_4(X1,X2,X4,X5),X5)|in(esk462_2(X1,X2),X1)|empty(X1)|~in(X3,X1)|esk467_2(X1,X2)!=X5|~in(X4,X5)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3551, lemma, (empty(X2)|in(esk247_2(X2,X3),X2)|in(X1,esk253_4(X2,X3,X4,X1))|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[i_0_1715, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3552, lemma, (empty(X2)|in(esk247_2(X2,X3),X2)|in(X1,esk253_4(X2,X3,X4,X1))|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[i_0_1716, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3553, plain, (element(esk362_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk360_2(X1,X2))|in(esk357_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3554, plain, (element(esk362_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk360_2(X1,X2))|in(esk357_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3555, plain, (esk389_4(X1,X2,X3,X4)=X4|unordered_pair(unordered_pair(esk386_2(X1,X2),esk387_2(X1,X2)),unordered_pair(esk386_2(X1,X2),esk386_2(X1,X2)))=esk383_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1717, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3556, plain, (esk389_4(X1,X2,X3,X4)=X4|unordered_pair(unordered_pair(esk384_2(X1,X2),esk385_2(X1,X2)),unordered_pair(esk384_2(X1,X2),esk384_2(X1,X2)))=esk382_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk388_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1718, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3557, plain, (esk371_4(X1,X2,X3,X4)=X4|unordered_pair(unordered_pair(esk368_2(X1,X2),esk369_2(X1,X2)),unordered_pair(esk368_2(X1,X2),esk368_2(X1,X2)))=esk365_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1719, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3558, plain, (esk371_4(X1,X2,X3,X4)=X4|unordered_pair(unordered_pair(esk366_2(X1,X2),esk367_2(X1,X2)),unordered_pair(esk366_2(X1,X2),esk366_2(X1,X2)))=esk364_2(X1,X2)|~one_sorted_str(X1)|~in(X4,esk370_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1720, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3559, plain, (in(esk390_4(X1,X2,X3,X4),X2)|esk381_2(X1,X2)=esk383_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3560, plain, (in(esk390_4(X1,X2,X3,X4),X2)|esk381_2(X1,X2)=esk382_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3561, plain, (X3=relation_inverse_image(X1,X2)|~in(esk19_3(X1,X2,X3),X3)|~in(esk19_3(X1,X2,X3),relation_dom(X1))|~in(apply(X1,esk19_3(X1,X2,X3)),X2)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1721]), ['final']).
% 282.28/198.91 cnf(i_0_3562, plain, (esk351_2(X1,X2)=set_difference(esk353_2(X1,X2),unordered_pair(X1,X1))|in(esk355_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1722, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3563, plain, (esk350_2(X1,X2)=set_difference(esk352_2(X1,X2),unordered_pair(X1,X1))|in(esk355_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1723, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3564, plain, (esk309_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk305_3(X1,X2,X3),esk306_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3565, plain, (esk309_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk303_3(X1,X2,X3),esk304_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3566, plain, (esk308_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk305_3(X1,X2,X3),esk306_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3567, plain, (esk308_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk303_3(X1,X2,X3),esk304_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3568, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk468_4(X1,X2,X4,X5),X5)|esk462_2(X1,X2)=esk466_2(X1,X2)|empty(X1)|~in(X3,X1)|esk467_2(X1,X2)!=X5|~in(X4,X5)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3569, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk468_4(X1,X2,X4,X5),X5)|esk462_2(X1,X2)=esk465_2(X1,X2)|empty(X1)|~in(X3,X1)|esk467_2(X1,X2)!=X5|~in(X4,X5)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3570, lemma, (esk251_2(X2,X3)=esk247_2(X2,X3)|empty(X2)|in(X1,esk253_4(X2,X3,X4,X1))|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[i_0_1724, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3571, lemma, (esk250_2(X2,X3)=esk247_2(X2,X3)|empty(X2)|in(X1,esk253_4(X2,X3,X4,X1))|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),esk252_2(X2,X3))), inference(rw,[status(thm)],[i_0_1725, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3572, lemma, (element(esk429_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk427_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1593]), ['final']).
% 282.28/198.91 cnf(i_0_3573, plain, (esk351_2(X1,X2)=set_difference(esk353_2(X1,X2),unordered_pair(X1,X1))|in(esk356_3(X1,X2,X3),X2)|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1726, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3574, plain, (esk350_2(X1,X2)=set_difference(esk352_2(X1,X2),unordered_pair(X1,X1))|in(esk356_3(X1,X2,X3),X2)|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1727, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3575, lemma, (empty(X2)|in(X1,X2)|in(unordered_pair(unordered_pair(esk249_2(X2,X4),X5),unordered_pair(esk249_2(X2,X4),esk249_2(X2,X4))),X4)|~relation(X4)|~in(X5,esk251_2(X2,X4))|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk252_2(X2,X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1728, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3576, lemma, (empty(X2)|in(X1,X2)|in(unordered_pair(unordered_pair(esk248_2(X2,X4),X5),unordered_pair(esk248_2(X2,X4),esk248_2(X2,X4))),X4)|~relation(X4)|~in(X5,esk250_2(X2,X4))|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk252_2(X2,X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1729, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3577, plain, (related(X1,X2,esk170_4(X3,X4,X1,X2))|empty_carrier(X4)|empty_carrier(X1)|~in(X3,a_3_0_waybel_9(X4,X1,X2))|~one_sorted_str(X4)|~net_str(X1,X4)|~element(X2,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_1730]), ['final']).
% 282.28/198.91 cnf(i_0_3578, lemma, (in(esk429_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|~in(X4,esk427_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1593]), ['final']).
% 282.28/198.91 cnf(i_0_3579, plain, (strict_net_str(net_str_of(X1,X2,X3,X4),X1)|empty(X2)|~one_sorted_str(X1)|~relation_of2(X3,X2,X2)|~function(X4)|~quasi_total(X4,X2,the_carrier(X1))|~relation_of2(X4,X2,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_1655]), ['final']).
% 282.28/198.91 cnf(i_0_3580, plain, (X1=set_difference(esk356_3(X2,X3,X1),unordered_pair(X2,X2))|esk351_2(X2,X3)!=esk350_2(X2,X3)|~ordinal(X2)|~in(X1,esk354_2(X2,X3))|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1731, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3581, plain, (in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk292_2(X1,X2),esk293_2(X1,X2))|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3582, plain, (in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk289_2(X1,X2),esk290_2(X1,X2))|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3583, plain, (strict_net_str(net_str_of(X1,X2,X3,X4),X1)|~one_sorted_str(X1)|~relation_of2(X3,X2,X2)|~function(X4)|~quasi_total(X4,X2,the_carrier(X1))|~relation_of2(X4,X2,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_1732]), ['final']).
% 282.28/198.91 cnf(i_0_3584, plain, (net_str(net_str_of(X1,X2,X3,X4),X1)|~one_sorted_str(X1)|~relation_of2(X3,X2,X2)|~function(X4)|~quasi_total(X4,X2,the_carrier(X1))|~relation_of2(X4,X2,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_1732]), ['final']).
% 282.28/198.91 cnf(i_0_3585, plain, (X1=set_difference(esk356_3(X2,X3,X1),unordered_pair(X2,X2))|in(esk353_2(X2,X3),X3)|~ordinal(X2)|~in(X1,esk354_2(X2,X3))|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1733, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3586, plain, (X1=set_difference(esk356_3(X2,X3,X1),unordered_pair(X2,X2))|in(esk352_2(X2,X3),X3)|~ordinal(X2)|~in(X1,esk354_2(X2,X3))|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1734, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3587, plain, (element(esk380_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk378_2(X1,X2))|esk377_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,X2)|~element(X5,powerset(the_carrier(X1)))|X5!=esk375_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3588, plain, (element(esk380_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk378_2(X1,X2))|esk376_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,X2)|~element(X5,powerset(the_carrier(X1)))|X5!=esk375_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3589, lemma, (in(esk448_4(X1,X2,X3,X4),X2)|~in(X4,esk447_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_889]), ['final']).
% 282.28/198.91 cnf(i_0_3590, lemma, (empty(X1)|in(esk467_2(X1,X2),X1)|in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(unordered_pair(unordered_pair(esk464_2(X1,X2),X4),unordered_pair(esk464_2(X1,X2),esk464_2(X1,X2))),X2)|~relation(X2)|~in(X3,X1)|~in(X4,esk466_2(X1,X2))), inference(rw,[status(thm)],[i_0_1735, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3591, lemma, (empty(X1)|in(esk467_2(X1,X2),X1)|in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(unordered_pair(unordered_pair(esk463_2(X1,X2),X4),unordered_pair(esk463_2(X1,X2),esk463_2(X1,X2))),X2)|~relation(X2)|~in(X3,X1)|~in(X4,esk465_2(X1,X2))), inference(rw,[status(thm)],[i_0_1736, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3592, plain, (esk351_2(X2,X5)=set_difference(esk353_2(X2,X5),unordered_pair(X2,X2))|in(X3,esk354_2(X2,X5))|X1!=X3|X3!=set_difference(X4,unordered_pair(X2,X2))|~ordinal(X2)|~in(X4,X5)|~in(X1,powerset(X2))|~element(X5,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1737, c_0_882]), c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3593, plain, (esk350_2(X2,X5)=set_difference(esk352_2(X2,X5),unordered_pair(X2,X2))|in(X3,esk354_2(X2,X5))|X1!=X3|X3!=set_difference(X4,unordered_pair(X2,X2))|~ordinal(X2)|~in(X4,X5)|~in(X1,powerset(X2))|~element(X5,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1738, c_0_882]), c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3594, plain, (X2=relation_dom(X1)|~relation(X1)|~in(esk99_2(X1,X2),X2)|~in(unordered_pair(unordered_pair(esk99_2(X1,X2),X3),unordered_pair(esk99_2(X1,X2),esk99_2(X1,X2))),X1)), inference(rw,[status(thm)],[i_0_1739, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3595, plain, (element(esk362_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk360_2(X1,X2))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|esk358_2(X1,X2)!=esk359_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3596, plain, (esk351_2(X2,X3)=esk349_2(X2,X3)|X1=set_difference(esk356_3(X2,X3,X1),unordered_pair(X2,X2))|~ordinal(X2)|~in(X1,esk354_2(X2,X3))|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1740, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3597, plain, (esk350_2(X2,X3)=esk349_2(X2,X3)|X1=set_difference(esk356_3(X2,X3,X1),unordered_pair(X2,X2))|~ordinal(X2)|~in(X1,esk354_2(X2,X3))|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1741, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3598, plain, (empty_carrier(X1)|empty_carrier(X2)|element(apply_on_structs(X1,X2,X3,X4),the_carrier(X2))|~one_sorted_str(X1)|~one_sorted_str(X2)|~function(X3)|~quasi_total(X3,the_carrier(X1),the_carrier(X2))|~relation_of2(X3,the_carrier(X1),the_carrier(X2))|~element(X4,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_1742]), ['final']).
% 282.28/198.91 cnf(i_0_3599, plain, (in(esk355_3(X1,X2,X3),powerset(X1))|esk351_2(X1,X2)!=esk350_2(X1,X2)|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1743, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3600, plain, (in(X2,esk330_1(X1))|X2!=X5|X2!=X3|esk329_1(X1)!=esk328_1(X1)|esk335_4(X1,X2,X3,X4)!=X4|~ordinal(X3)|~ordinal(X1)|~in(X4,esk334_3(X1,X2,X3))|~in(X5,set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_1744, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3601, plain, (in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|esk286_2(X1,X2)!=esk287_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3602, plain, (in(esk353_2(X1,X2),X2)|in(esk355_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1745, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3603, plain, (in(esk352_2(X1,X2),X2)|in(esk355_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1746, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3604, plain, (in(esk356_3(X1,X2,X3),X2)|esk351_2(X1,X2)!=esk350_2(X1,X2)|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1747, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3605, plain, (in(esk296_4(X1,X2,X3,X4),X1)|in(esk292_2(X1,X2),esk293_2(X1,X2))|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3606, plain, (in(esk296_4(X1,X2,X3,X4),X1)|in(esk289_2(X1,X2),esk290_2(X1,X2))|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3607, plain, (in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk291_2(X1,X2),X1)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3608, plain, (in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|in(esk288_2(X1,X2),X1)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3609, plain, (element(esk170_4(X1,X2,X3,X4),the_carrier(X3))|empty_carrier(X2)|empty_carrier(X3)|~in(X1,a_3_0_waybel_9(X2,X3,X4))|~one_sorted_str(X2)|~net_str(X3,X2)|~element(X4,the_carrier(X3))), inference(split_conjunct,[status(thm)],[i_0_1730]), ['final']).
% 282.28/198.91 cnf(i_0_3610, plain, (in(esk353_2(X1,X2),X2)|in(esk356_3(X1,X2,X3),X2)|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1748, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3611, plain, (in(esk352_2(X1,X2),X2)|in(esk356_3(X1,X2,X3),X2)|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1749, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3612, plain, (esk351_2(X1,X2)=esk349_2(X1,X2)|in(esk355_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1750, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3613, plain, (esk350_2(X1,X2)=esk349_2(X1,X2)|in(esk355_3(X1,X2,X3),powerset(X1))|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1751, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3614, lemma, (in(X2,esk433_1(X1))|X2!=X3|esk437_4(X1,X2,X3,X4)!=X4|~ordinal(X3)|~ordinal(X1)|~in(X4,esk436_3(X1,X2,X3))|~in(X2,set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_1752, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3615, plain, (esk296_4(X1,X2,X3,X4)=esk298_4(X1,X2,X3,X4)|in(esk292_2(X1,X2),esk293_2(X1,X2))|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3616, plain, (esk296_4(X1,X2,X3,X4)=esk298_4(X1,X2,X3,X4)|in(esk289_2(X1,X2),esk290_2(X1,X2))|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3617, plain, (in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|esk291_2(X1,X2)=esk293_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3618, plain, (in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|esk288_2(X1,X2)=esk290_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3619, plain, (in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|esk285_2(X1,X2)=esk287_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3620, plain, (in(esk295_4(X1,X2,X3,X4),cartesian_product2(X1,X3))|esk285_2(X1,X2)=esk286_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3621, plain, (esk351_2(X1,X2)=esk349_2(X1,X2)|in(esk356_3(X1,X2,X3),X2)|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1753, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3622, plain, (esk350_2(X1,X2)=esk349_2(X1,X2)|in(esk356_3(X1,X2,X3),X2)|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1754, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3623, lemma, (X1=set_difference(esk442_3(X2,X3,X1),unordered_pair(X2,X2))|~ordinal(X2)|~in(X1,esk441_2(X2,X3))|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1755, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3624, plain, (esk413_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk411_3(X1,X2,X3)),X2)|~in(X4,esk412_3(X1,X2,X3))|~element(X2,powerset(powerset(X1)))|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3625, plain, (esk413_4(X1,X2,X3,X4)=X4|in(relation_image(X3,esk410_3(X1,X2,X3)),X2)|~in(X4,esk412_3(X1,X2,X3))|~element(X2,powerset(powerset(X1)))|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3626, plain, (element(function_invverse_img_as_carrier_subset(X1,X2,X3,X4),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~one_sorted_str(X2)|~function(X3)|~quasi_total(X3,the_carrier(X1),the_carrier(X2))|~relation_of2(X3,the_carrier(X1),the_carrier(X2))), inference(split_conjunct,[status(thm)],[i_0_1756]), ['final']).
% 282.28/198.91 cnf(i_0_3627, plain, (in(X3,esk354_2(X2,X5))|X1!=X3|X3!=set_difference(X4,unordered_pair(X2,X2))|esk351_2(X2,X5)!=esk350_2(X2,X5)|~ordinal(X2)|~in(X4,X5)|~in(X1,powerset(X2))|~element(X5,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1757, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3628, plain, (in(esk296_4(X1,X2,X3,X4),X1)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|esk286_2(X1,X2)!=esk287_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3629, plain, (in(X3,esk354_2(X2,X5))|in(esk353_2(X2,X5),X5)|X1!=X3|X3!=set_difference(X4,unordered_pair(X2,X2))|~ordinal(X2)|~in(X4,X5)|~in(X1,powerset(X2))|~element(X5,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1758, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3630, plain, (in(X3,esk354_2(X2,X5))|in(esk352_2(X2,X5),X5)|X1!=X3|X3!=set_difference(X4,unordered_pair(X2,X2))|~ordinal(X2)|~in(X4,X5)|~in(X1,powerset(X2))|~element(X5,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1759, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3631, plain, (empty(X1)|empty_carrier(X2)|element(apply_on_set_and_struct2(X1,X2,X3,X4),the_carrier(X2))|~one_sorted_str(X2)|~function(X3)|~quasi_total(X3,X1,the_carrier(X2))|~relation_of2(X3,X1,the_carrier(X2))|~element(X4,X1)), inference(split_conjunct,[status(thm)],[i_0_1760]), ['final']).
% 282.28/198.91 cnf(i_0_3632, plain, (empty(X1)|empty_carrier(X2)|element(apply_on_set_and_struct(X1,X2,X3,X4),the_carrier(X2))|~rel_str(X2)|~function(X3)|~quasi_total(X3,X1,the_carrier(X2))|~relation_of2(X3,X1,the_carrier(X2))|~element(X4,X1)), inference(split_conjunct,[status(thm)],[i_0_1761]), ['final']).
% 282.28/198.91 cnf(i_0_3633, plain, (in(esk296_4(X1,X2,X3,X4),X1)|in(esk291_2(X1,X2),X1)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3634, plain, (in(esk296_4(X1,X2,X3,X4),X1)|in(esk288_2(X1,X2),X1)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3635, plain, (esk355_3(X1,X2,X3)=X3|esk351_2(X1,X2)=set_difference(esk353_2(X1,X2),unordered_pair(X1,X1))|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1762, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3636, plain, (esk355_3(X1,X2,X3)=X3|esk350_2(X1,X2)=set_difference(esk352_2(X1,X2),unordered_pair(X1,X1))|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1763, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3637, plain, (esk296_4(X1,X2,X3,X4)=esk298_4(X1,X2,X3,X4)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|esk286_2(X1,X2)!=esk287_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3638, plain, (esk351_2(X2,X5)=esk349_2(X2,X5)|in(X3,esk354_2(X2,X5))|X1!=X3|X3!=set_difference(X4,unordered_pair(X2,X2))|~ordinal(X2)|~in(X4,X5)|~in(X1,powerset(X2))|~element(X5,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1764, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3639, plain, (esk350_2(X2,X5)=esk349_2(X2,X5)|in(X3,esk354_2(X2,X5))|X1!=X3|X3!=set_difference(X4,unordered_pair(X2,X2))|~ordinal(X2)|~in(X4,X5)|~in(X1,powerset(X2))|~element(X5,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1765, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3640, plain, (related(X1,X2,esk58_4(X1,X3,X2,X4))|~in(X2,X3)|~in(X4,X3)|~element(X4,the_carrier(X1))|~element(X2,the_carrier(X1))|~directed_subset(X3,X1)|~element(X3,powerset(the_carrier(X1)))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1766]), ['final']).
% 282.28/198.91 cnf(i_0_3641, plain, (related(X1,X2,esk58_4(X1,X3,X4,X2))|~in(X4,X3)|~in(X2,X3)|~element(X2,the_carrier(X1))|~element(X4,the_carrier(X1))|~directed_subset(X3,X1)|~element(X3,powerset(the_carrier(X1)))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1766]), ['final']).
% 282.28/198.91 cnf(i_0_3642, plain, (esk295_4(X1,X2,X3,X4)=X4|unordered_pair(unordered_pair(esk291_2(X1,X2),esk292_2(X1,X2)),unordered_pair(esk291_2(X1,X2),esk291_2(X1,X2)))=esk287_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1767, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3643, plain, (esk295_4(X1,X2,X3,X4)=X4|unordered_pair(unordered_pair(esk288_2(X1,X2),esk289_2(X1,X2)),unordered_pair(esk288_2(X1,X2),esk288_2(X1,X2)))=esk286_2(X1,X2)|empty(X1)|~relation(X2)|~in(X4,esk294_3(X1,X2,X3))), inference(rw,[status(thm)],[i_0_1768, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3644, plain, (esk296_4(X1,X2,X3,X4)=esk298_4(X1,X2,X3,X4)|in(esk291_2(X1,X2),X1)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3645, plain, (esk296_4(X1,X2,X3,X4)=esk298_4(X1,X2,X3,X4)|in(esk288_2(X1,X2),X1)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3646, plain, (in(esk296_4(X1,X2,X3,X4),X1)|esk291_2(X1,X2)=esk293_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3647, plain, (in(esk296_4(X1,X2,X3,X4),X1)|esk288_2(X1,X2)=esk290_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3648, plain, (in(esk296_4(X1,X2,X3,X4),X1)|esk285_2(X1,X2)=esk287_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3649, plain, (in(esk296_4(X1,X2,X3,X4),X1)|esk285_2(X1,X2)=esk286_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3650, lemma, (in(esk442_3(X1,X2,X3),X2)|~ordinal(X1)|~in(X3,esk441_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1769, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3651, plain, (point_neighbourhood(esk34_4(X1,X2,X3,X4),X1,X4)|in(X4,X3)|empty_carrier(X2)|empty_carrier(X1)|~element(X4,the_carrier(X1))|X3!=lim_points_of_net(X1,X2)|~element(X3,powerset(the_carrier(X1)))|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1662]), ['final']).
% 282.28/198.91 cnf(i_0_3652, plain, (element(esk380_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk378_2(X1,X2))|~in(X4,X2)|esk376_2(X1,X2)!=esk377_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3653, plain, (element(esk16_4(X1,X2,X3,X4),the_carrier(X3))|empty_carrier(X3)|empty_carrier(X2)|empty_carrier(X1)|~element(X4,the_carrier(X2))|~subnet(X3,X1,X2)|~transitive_relstr(X3)|~directed_relstr(X3)|~net_str(X3,X1)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1381]), ['final']).
% 282.28/198.91 cnf(i_0_3654, plain, (element(esk380_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk378_2(X1,X2))|in(esk375_2(X1,X2),X2)|~in(X4,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3655, plain, (element(esk380_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X3,esk378_2(X1,X2))|in(esk375_2(X1,X2),X2)|~in(X4,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3656, plain, (esk296_4(X1,X2,X3,X4)=esk298_4(X1,X2,X3,X4)|esk291_2(X1,X2)=esk293_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3657, plain, (esk296_4(X1,X2,X3,X4)=esk298_4(X1,X2,X3,X4)|esk288_2(X1,X2)=esk290_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3658, plain, (esk296_4(X1,X2,X3,X4)=esk298_4(X1,X2,X3,X4)|esk285_2(X1,X2)=esk287_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3659, plain, (esk296_4(X1,X2,X3,X4)=esk298_4(X1,X2,X3,X4)|esk285_2(X1,X2)=esk286_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3660, plain, (X1=boole_lattice(X2)|apply_binary(the_L_join(X1),esk42_2(X2,X1),esk43_2(X2,X1))!=subset_union2(X2,esk42_2(X2,X1),esk43_2(X2,X1))|apply_binary(the_L_meet(X1),esk42_2(X2,X1),esk43_2(X2,X1))!=subset_intersection2(X2,esk42_2(X2,X1),esk43_2(X2,X1))|the_carrier(X1)!=powerset(X2)|~strict_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1770]), ['final']).
% 282.28/198.91 cnf(i_0_3661, plain, (esk309_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|esk301_3(X1,X2,X3)!=esk302_3(X1,X2,X3)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3662, plain, (esk308_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|esk301_3(X1,X2,X3)!=esk302_3(X1,X2,X3)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3663, plain, (empty(X1)|in(esk282_3(X1,X2,X3),X1)|in(unordered_pair(unordered_pair(esk278_2(X1,X2),X4),unordered_pair(esk278_2(X1,X2),esk278_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk280_2(X1,X2))|~in(X3,esk281_2(X1,X2))), inference(rw,[status(thm)],[i_0_1771, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3664, plain, (empty(X1)|in(esk282_3(X1,X2,X3),X1)|in(unordered_pair(unordered_pair(esk277_2(X1,X2),X4),unordered_pair(esk277_2(X1,X2),esk277_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk279_2(X1,X2))|~in(X3,esk281_2(X1,X2))), inference(rw,[status(thm)],[i_0_1772, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3665, plain, (empty(X2)|in(X1,esk283_3(X2,X3,X1))|in(unordered_pair(unordered_pair(esk278_2(X2,X3),X4),unordered_pair(esk278_2(X2,X3),esk278_2(X2,X3))),X3)|~relation(X3)|~in(X4,esk280_2(X2,X3))|~in(X1,esk281_2(X2,X3))), inference(rw,[status(thm)],[i_0_1773, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3666, plain, (empty(X2)|in(X1,esk283_3(X2,X3,X1))|in(unordered_pair(unordered_pair(esk277_2(X2,X3),X4),unordered_pair(esk277_2(X2,X3),esk277_2(X2,X3))),X3)|~relation(X3)|~in(X4,esk279_2(X2,X3))|~in(X1,esk281_2(X2,X3))), inference(rw,[status(thm)],[i_0_1774, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3667, plain, (empty(X1)|element(apply_as_element(X1,X3,X2,X4),X3)|~function(X2)|~quasi_total(X2,X1,X3)|~relation_of2(X2,X1,X3)|~element(X4,X1)), inference(split_conjunct,[status(thm)],[i_0_1775]), ['final']).
% 282.28/198.91 cnf(i_0_3668, plain, (esk355_3(X1,X2,X3)=X3|esk351_2(X1,X2)!=esk350_2(X1,X2)|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1776, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3669, lemma, (X1=esk470_3(X2,X3,X1)|in(esk468_4(X2,X3,X4,X5),X5)|in(esk464_2(X2,X3),esk466_2(X2,X3))|empty(X2)|~in(X1,X2)|esk467_2(X2,X3)!=X5|~in(X4,X5)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3670, lemma, (X1=esk470_3(X2,X3,X1)|in(esk468_4(X2,X3,X4,X5),X5)|in(esk463_2(X2,X3),esk465_2(X2,X3))|empty(X2)|~in(X1,X2)|esk467_2(X2,X3)!=X5|~in(X4,X5)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3671, lemma, (in(esk423_4(X1,X2,X3,X4),X1)|empty(X1)|~in(X4,esk422_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_883]), ['final']).
% 282.28/198.91 cnf(i_0_3672, lemma, (esk263_4(X1,X2,X3,X4)=X3|esk261_2(X1,X2)=subset_complement(the_carrier(X1),X5)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X1,X2))|X5!=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(X5,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1777, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3673, lemma, (esk263_4(X1,X2,X3,X4)=X3|esk260_2(X1,X2)=subset_complement(the_carrier(X1),X5)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X1,X2))|X5!=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(X5,powerset(the_carrier(X1)))|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1778, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3674, lemma, (in(X1,esk441_2(X2,X4))|X1!=set_difference(X3,unordered_pair(X2,X2))|~ordinal(X2)|~in(X3,X4)|~in(X1,powerset(X2))|~element(X4,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1779, c_0_882]), c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3675, plain, (X3=complements_of_subsets(X1,X2)|~in(esk144_3(X1,X2,X3),X3)|~in(subset_complement(X1,esk144_3(X1,X2,X3)),X2)|~element(X3,powerset(powerset(X1)))|~element(X2,powerset(powerset(X1)))), inference(split_conjunct,[status(thm)],[i_0_1780]), ['final']).
% 282.28/198.91 cnf(i_0_3676, lemma, (in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1))|empty_carrier(X1)|~below_refl(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1686]), ['final']).
% 282.28/198.91 cnf(i_0_3677, plain, (esk355_3(X1,X2,X3)=X3|in(esk353_2(X1,X2),X2)|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1781, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3678, plain, (esk355_3(X1,X2,X3)=X3|in(esk352_2(X1,X2),X2)|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1782, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3679, plain, (element(esk22_4(X1,X2,X3,X4),powerset(the_carrier(X1)))|in(X4,X3)|~in(X4,the_carrier(X1))|X3!=topstr_closure(X1,X2)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1783]), ['final']).
% 282.28/198.91 cnf(i_0_3680, plain, (related(X1,X2,esk13_4(X3,X1,X4,X2))|empty_carrier(X1)|empty_carrier(X3)|~element(X2,the_carrier(X1))|~is_often_in(X3,X1,X4)|~net_str(X1,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1610]), ['final']).
% 282.28/198.91 cnf(i_0_3681, plain, (element(esk58_4(X1,X2,X3,X4),the_carrier(X1))|~in(X3,X2)|~in(X4,X2)|~element(X4,the_carrier(X1))|~element(X3,the_carrier(X1))|~directed_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1766]), ['final']).
% 282.28/198.91 cnf(i_0_3682, plain, (esk283_3(X1,X2,X3)=esk282_3(X1,X2,X3)|empty(X1)|in(unordered_pair(unordered_pair(esk278_2(X1,X2),X4),unordered_pair(esk278_2(X1,X2),esk278_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk280_2(X1,X2))|~in(X3,esk281_2(X1,X2))), inference(rw,[status(thm)],[i_0_1784, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3683, plain, (esk283_3(X1,X2,X3)=esk282_3(X1,X2,X3)|empty(X1)|in(unordered_pair(unordered_pair(esk277_2(X1,X2),X4),unordered_pair(esk277_2(X1,X2),esk277_2(X1,X2))),X2)|~relation(X2)|~in(X4,esk279_2(X1,X2))|~in(X3,esk281_2(X1,X2))), inference(rw,[status(thm)],[i_0_1785, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3684, plain, (empty(X1)|~empty_carrier(latt_str_of(X1,X2,X3))|~function(X2)|~quasi_total(X2,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~function(X3)|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)), inference(split_conjunct,[status(thm)],[i_0_1786]), ['final']).
% 282.28/198.91 cnf(i_0_3685, plain, (in(esk58_4(X1,X2,X3,X4),X2)|~in(X3,X2)|~in(X4,X2)|~element(X4,the_carrier(X1))|~element(X3,the_carrier(X1))|~directed_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1766]), ['final']).
% 282.28/198.91 cnf(i_0_3686, lemma, (empty_carrier(X1)|empty_carrier(X2)|apply_netmap(X1,X2,X4)=apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X5)|~one_sorted_str(X1)|~directed_relstr(X2)|~net_str(X2,X1)|~element(X3,the_carrier(X2))|~element(X4,the_carrier(X2))|~element(X5,the_carrier(netstr_restr_to_element(X1,X2,X3)))|X4!=X5), inference(split_conjunct,[status(thm)],[i_0_1787]), ['final']).
% 282.28/198.91 cnf(i_0_3687, lemma, (esk423_4(X1,X2,X3,X4)=esk425_4(X1,X2,X3,X4)|empty(X1)|~in(X4,esk422_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_883]), ['final']).
% 282.28/198.91 cnf(i_0_3688, plain, (X1=X2|latt_str_of(X1,X3,X4)!=latt_str_of(X2,X5,X6)|~function(X3)|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)|~function(X4)|~quasi_total(X4,cartesian_product2(X1,X1),X1)|~relation_of2(X4,cartesian_product2(X1,X1),X1)), inference(split_conjunct,[status(thm)],[i_0_1788]), ['final']).
% 282.28/198.91 cnf(i_0_3689, plain, (X1=X2|latt_str_of(X3,X1,X4)!=latt_str_of(X5,X2,X6)|~function(X1)|~quasi_total(X1,cartesian_product2(X3,X3),X3)|~relation_of2(X1,cartesian_product2(X3,X3),X3)|~function(X4)|~quasi_total(X4,cartesian_product2(X3,X3),X3)|~relation_of2(X4,cartesian_product2(X3,X3),X3)), inference(split_conjunct,[status(thm)],[i_0_1788]), ['final']).
% 282.28/198.91 cnf(i_0_3690, plain, (X1=X2|latt_str_of(X3,X4,X1)!=latt_str_of(X5,X6,X2)|~function(X4)|~quasi_total(X4,cartesian_product2(X3,X3),X3)|~relation_of2(X4,cartesian_product2(X3,X3),X3)|~function(X1)|~quasi_total(X1,cartesian_product2(X3,X3),X3)|~relation_of2(X1,cartesian_product2(X3,X3),X3)), inference(split_conjunct,[status(thm)],[i_0_1788]), ['final']).
% 282.28/198.91 cnf(i_0_3691, plain, (in(unordered_pair(unordered_pair(X3,X5),unordered_pair(X3,X3)),X1)|~relation(X1)|~in(X5,X2)|~in(X4,X2)|~in(X3,X2)|~is_transitive_in(X1,X2)|~in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1789, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3692, plain, (esk355_3(X1,X2,X3)=X3|esk351_2(X1,X2)=esk349_2(X1,X2)|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1790, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3693, plain, (esk355_3(X1,X2,X3)=X3|esk350_2(X1,X2)=esk349_2(X1,X2)|~ordinal(X1)|~in(X3,esk354_2(X1,X2))|~element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))), inference(rw,[status(thm)],[i_0_1791, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3694, lemma, (X1=esk470_3(X2,X3,X1)|in(esk468_4(X2,X3,X4,X5),X5)|empty(X2)|~in(X1,X2)|esk467_2(X2,X3)!=X5|~in(X4,X5)|esk463_2(X2,X3)!=esk464_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3695, plain, (open_subset(esk22_4(X1,X2,X3,X4),X1)|in(X4,X3)|~in(X4,the_carrier(X1))|X3!=topstr_closure(X1,X2)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1783]), ['final']).
% 282.28/198.91 cnf(i_0_3696, plain, (in(X1,esk22_4(X2,X3,X4,X1))|in(X1,X4)|~in(X1,the_carrier(X2))|X4!=topstr_closure(X2,X3)|~element(X4,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1783]), ['final']).
% 282.28/198.91 cnf(i_0_3697, plain, (disjoint(X1,esk22_4(X2,X1,X3,X4))|in(X4,X3)|~in(X4,the_carrier(X2))|X3!=topstr_closure(X2,X1)|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1783]), ['final']).
% 282.28/198.91 cnf(i_0_3698, lemma, (X1=esk470_3(X2,X3,X1)|in(esk468_4(X2,X3,X4,X5),X5)|in(esk462_2(X2,X3),X2)|empty(X2)|~in(X1,X2)|esk467_2(X2,X3)!=X5|~in(X4,X5)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3699, plain, (in(X3,esk307_3(X6,X7,X2))|relstr_set_smaller(X6,esk305_3(X6,X7,X2),esk306_3(X6,X7,X2))|empty_carrier(X6)|~in(X1,powerset(X2))|X1!=X3|X4!=X3|~element(X5,the_carrier(X6))|~in(X5,X7)|~relstr_set_smaller(X6,X4,X5)|~transitive_relstr(X6)|~rel_str(X6)|~element(X7,powerset(the_carrier(X6)))|~finite(X2)|~element(X2,powerset(X7))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3700, plain, (in(X3,esk307_3(X6,X7,X2))|relstr_set_smaller(X6,esk303_3(X6,X7,X2),esk304_3(X6,X7,X2))|empty_carrier(X6)|~in(X1,powerset(X2))|X1!=X3|X4!=X3|~element(X5,the_carrier(X6))|~in(X5,X7)|~relstr_set_smaller(X6,X4,X5)|~transitive_relstr(X6)|~rel_str(X6)|~element(X7,powerset(the_carrier(X6)))|~finite(X2)|~element(X2,powerset(X7))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3701, lemma, (empty_carrier(X1)|relstr_set_smaller(X1,X2,esk461_3(X1,X3,X2))|relstr_set_smaller(X1,esk459_3(X1,X3,X2),esk460_3(X1,X3,X2))|~rel_str(X1)|~transitive_relstr(X1)|~finite(X2)|~in(X4,X3)|~element(X4,the_carrier(X1))|~element(X2,powerset(X3))|~relstr_set_smaller(X1,empty_set,X4)|~element(X3,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1792]), ['final']).
% 282.28/198.91 cnf(i_0_3702, lemma, (esk263_4(X1,X2,X3,X4)=X3|in(esk259_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X1,X2))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1793, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3703, lemma, (esk263_4(X1,X2,X3,X4)=X3|in(esk259_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X1,X2))|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1794, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3704, plain, (esk309_4(X1,X2,X3,X4)=X4|element(esk306_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3705, plain, (esk309_4(X1,X2,X3,X4)=X4|element(esk304_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3706, plain, (esk308_4(X1,X2,X3,X4)=X4|element(esk306_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3707, plain, (esk308_4(X1,X2,X3,X4)=X4|element(esk304_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3708, plain, (X1=preimage_subnetstr(X3,X2,X4)|~full_subrelstr(X1,X2)|~subrelstr(X1,X2)|the_carrier(X1)!=function_invverse_img_as_carrier_subset(X2,X3,the_mapping(X3,X2),X4)|~strict_net_str(X1,X3)|~subnetstr(X1,X3,X2)|~net_str(X2,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1795]), ['final']).
% 282.28/198.91 cnf(i_0_3709, plain, (esk413_4(X1,X2,X3,X4)=X4|~in(X4,esk412_3(X1,X2,X3))|esk410_3(X1,X2,X3)!=esk411_3(X1,X2,X3)|~element(X2,powerset(powerset(X1)))|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3710, plain, (related(X2,esk131_3(X2,X3,X4),X1)|ex_sup_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~relstr_set_smaller(X2,X3,X1)|~related(X2,X4,esk130_3(X2,X3,X4))|~element(X4,the_carrier(X2))|~relstr_set_smaller(X2,X3,X4)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_3711, plain, (related(X2,X1,esk148_3(X2,X3,X4))|ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~relstr_element_smaller(X2,X3,X1)|~related(X2,esk147_3(X2,X3,X4),X4)|~element(X4,the_carrier(X2))|~relstr_element_smaller(X2,X3,X4)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_3712, plain, (related(X1,X2,esk7_4(X3,X1,X4,X2))|is_eventually_in(X3,X1,X4)|empty_carrier(X1)|empty_carrier(X3)|~element(X2,the_carrier(X1))|~net_str(X1,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1566]), ['final']).
% 282.28/198.91 cnf(i_0_3713, lemma, (X1=esk470_3(X2,X3,X1)|in(esk468_4(X2,X3,X4,X5),X5)|esk462_2(X2,X3)=esk466_2(X2,X3)|empty(X2)|~in(X1,X2)|esk467_2(X2,X3)!=X5|~in(X4,X5)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3714, lemma, (X1=esk470_3(X2,X3,X1)|in(esk468_4(X2,X3,X4,X5),X5)|esk462_2(X2,X3)=esk465_2(X2,X3)|empty(X2)|~in(X1,X2)|esk467_2(X2,X3)!=X5|~in(X4,X5)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3715, plain, (element(esk13_4(X1,X2,X3,X4),the_carrier(X2))|empty_carrier(X2)|empty_carrier(X1)|~element(X4,the_carrier(X2))|~is_often_in(X1,X2,X3)|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1610]), ['final']).
% 282.28/198.91 cnf(i_0_3716, plain, (esk309_4(X1,X2,X3,X4)=X4|in(esk306_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3717, plain, (esk309_4(X1,X2,X3,X4)=X4|in(esk304_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3718, plain, (esk308_4(X1,X2,X3,X4)=X4|in(esk306_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3719, plain, (esk308_4(X1,X2,X3,X4)=X4|in(esk304_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3720, plain, (empty_carrier(X1)|empty_carrier(X2)|element(k10_filter_1(X1,X2,X3,X4),the_carrier(k8_filter_1(X1,X2)))|~lattice(X1)|~latt_str(X1)|~lattice(X2)|~latt_str(X2)|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X2))), inference(split_conjunct,[status(thm)],[i_0_1798]), ['final']).
% 282.28/198.91 cnf(i_0_3721, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk468_4(X1,X2,X3,X4),X4)|in(esk464_2(X1,X2),esk466_2(X1,X2))|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3722, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk468_4(X1,X2,X3,X4),X4)|in(esk463_2(X1,X2),esk465_2(X1,X2))|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3723, lemma, (relation(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|in(esk464_2(X1,X2),esk466_2(X1,X2))|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3724, lemma, (relation(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|in(esk463_2(X1,X2),esk465_2(X1,X2))|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3725, lemma, (function(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|in(esk464_2(X1,X2),esk466_2(X1,X2))|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3726, lemma, (function(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|in(esk463_2(X1,X2),esk465_2(X1,X2))|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3727, plain, (X1=esk333_3(X3,X4,X2)|X2=empty_set|epred2_3(esk329_1(X3),esk328_1(X3),esk327_1(X3))|~in(X1,X2)|~subset(esk333_3(X3,X4,X2),X1)|~element(X2,powerset(powerset(esk332_2(X3,X4))))|~in(esk332_2(X3,X4),omega)|~in(X4,esk330_1(X3))|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_928]), ['final']).
% 282.28/198.91 cnf(i_0_3728, plain, (esk309_4(X1,X2,X3,X4)=X4|esk305_3(X1,X2,X3)=esk302_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3729, plain, (esk309_4(X1,X2,X3,X4)=X4|esk303_3(X1,X2,X3)=esk301_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3730, plain, (esk309_4(X1,X2,X3,X4)=X4|esk300_3(X1,X2,X3)=esk302_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3731, plain, (esk309_4(X1,X2,X3,X4)=X4|esk300_3(X1,X2,X3)=esk301_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3732, plain, (esk308_4(X1,X2,X3,X4)=X4|esk305_3(X1,X2,X3)=esk302_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3733, plain, (esk308_4(X1,X2,X3,X4)=X4|esk303_3(X1,X2,X3)=esk301_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3734, plain, (esk308_4(X1,X2,X3,X4)=X4|esk300_3(X1,X2,X3)=esk302_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3735, plain, (esk308_4(X1,X2,X3,X4)=X4|esk300_3(X1,X2,X3)=esk301_3(X1,X2,X3)|empty_carrier(X1)|~in(X4,esk307_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3736, plain, (X2=the_InternalRel(incl_POSet(X1))|subset(esk62_2(X1,X2),esk63_2(X1,X2))|in(unordered_pair(unordered_pair(esk62_2(X1,X2),esk63_2(X1,X2)),unordered_pair(esk62_2(X1,X2),esk62_2(X1,X2))),X2)|relation_field(X2)!=X1|~relation(X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1799, c_0_1670]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3737, lemma, (X1=esk470_3(X2,X3,X1)|empty(X2)|in(esk467_2(X2,X3),X2)|in(unordered_pair(unordered_pair(esk464_2(X2,X3),X4),unordered_pair(esk464_2(X2,X3),esk464_2(X2,X3))),X3)|~relation(X3)|~in(X1,X2)|~in(X4,esk466_2(X2,X3))), inference(rw,[status(thm)],[i_0_1800, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3738, lemma, (X1=esk470_3(X2,X3,X1)|empty(X2)|in(esk467_2(X2,X3),X2)|in(unordered_pair(unordered_pair(esk463_2(X2,X3),X4),unordered_pair(esk463_2(X2,X3),esk463_2(X2,X3))),X3)|~relation(X3)|~in(X1,X2)|~in(X4,esk465_2(X2,X3))), inference(rw,[status(thm)],[i_0_1801, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3739, lemma, (esk268_4(X1,X2,X3,X4)=X3|esk266_2(X1,X2)=subset_complement(the_carrier(X1),X5)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X1,X2))|X5!=esk264_2(X1,X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(X5,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1802, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3740, lemma, (esk268_4(X1,X2,X3,X4)=X3|esk265_2(X1,X2)=subset_complement(the_carrier(X1),X5)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X1,X2))|X5!=esk264_2(X1,X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(X5,powerset(the_carrier(X1)))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1803, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3741, plain, (esk389_4(X1,X2,X3,X4)=X4|esk387_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk388_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk386_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3742, plain, (esk389_4(X1,X2,X3,X4)=X4|esk385_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk388_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk384_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3743, plain, (esk371_4(X1,X2,X3,X4)=X4|esk369_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk370_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk368_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3744, plain, (esk371_4(X1,X2,X3,X4)=X4|esk367_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,esk370_3(X1,X2,X3))|~element(X5,powerset(the_carrier(X1)))|X5!=esk366_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3745, lemma, (empty_carrier(X1)|element(esk461_3(X1,X2,X3),the_carrier(X1))|relstr_set_smaller(X1,esk459_3(X1,X2,X3),esk460_3(X1,X2,X3))|~rel_str(X1)|~transitive_relstr(X1)|~finite(X3)|~in(X4,X2)|~element(X4,the_carrier(X1))|~element(X3,powerset(X2))|~relstr_set_smaller(X1,empty_set,X4)|~element(X2,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1804]), ['final']).
% 282.28/198.91 cnf(i_0_3746, lemma, (esk263_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X1,X2))|esk261_2(X1,X2)!=esk260_2(X1,X2)|~one_sorted_str(X1)|~in(X3,complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1805, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3747, plain, (in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X6)|X6!=relation_composition(X3,X5)|~relation(X6)|~relation(X5)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)),X5)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1806, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3748, lemma, (in(unordered_pair(unordered_pair(X1,esk504_3(X1,X2,X3)),unordered_pair(X1,X1)),X3)|~relation(X3)|~in(X1,relation_inverse_image(X3,X2))), inference(rw,[status(thm)],[i_0_1807, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3749, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk468_4(X1,X2,X3,X4),X4)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|esk463_2(X1,X2)!=esk464_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3750, plain, (relation_of2_as_subset(partfun_dom_restriction(X1,X2,X3,X4),X1,X2)|~function(X3)|~relation_of2(X3,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1808]), ['final']).
% 282.28/198.91 cnf(i_0_3751, lemma, (relation(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|esk463_2(X1,X2)!=esk464_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3752, lemma, (function(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|esk463_2(X1,X2)!=esk464_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3753, plain, (element(esk7_4(X1,X2,X3,X4),the_carrier(X2))|is_eventually_in(X1,X2,X3)|empty_carrier(X2)|empty_carrier(X1)|~element(X4,the_carrier(X2))|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1566]), ['final']).
% 282.28/198.91 cnf(i_0_3754, lemma, (empty_carrier(X1)|in(esk461_3(X1,X2,X3),X2)|relstr_set_smaller(X1,esk459_3(X1,X2,X3),esk460_3(X1,X2,X3))|~rel_str(X1)|~transitive_relstr(X1)|~finite(X3)|~in(X4,X2)|~element(X4,the_carrier(X1))|~element(X3,powerset(X2))|~relstr_set_smaller(X1,empty_set,X4)|~element(X2,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1809]), ['final']).
% 282.28/198.91 cnf(i_0_3755, plain, (strict_latt_str(latt_str_of(X1,X2,X3))|empty(X1)|~function(X2)|~quasi_total(X2,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~function(X3)|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)), inference(split_conjunct,[status(thm)],[i_0_1786]), ['final']).
% 282.28/198.91 cnf(i_0_3756, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk468_4(X1,X2,X3,X4),X4)|in(esk462_2(X1,X2),X1)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3757, lemma, (relation(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|in(esk462_2(X1,X2),X1)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3758, lemma, (function(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|in(esk462_2(X1,X2),X1)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3759, plain, (strict_latt_str(latt_str_of(X1,X2,X3))|~function(X2)|~quasi_total(X2,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~function(X3)|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)), inference(split_conjunct,[status(thm)],[i_0_1810]), ['final']).
% 282.28/198.91 cnf(i_0_3760, plain, (latt_str(latt_str_of(X1,X2,X3))|~function(X2)|~quasi_total(X2,cartesian_product2(X1,X1),X1)|~relation_of2(X2,cartesian_product2(X1,X1),X1)|~function(X3)|~quasi_total(X3,cartesian_product2(X1,X1),X1)|~relation_of2(X3,cartesian_product2(X1,X1),X1)), inference(split_conjunct,[status(thm)],[i_0_1810]), ['final']).
% 282.28/198.91 cnf(i_0_3761, plain, (relation_of2_as_subset(relation_dom_restr_as_relation_of(X2,X3,X1,X4),X2,X3)|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1811]), ['final']).
% 282.28/198.91 cnf(i_0_3762, plain, (esk401_4(X1,X2,X3,X4)=X4|~in(X4,esk400_3(X1,X2,X3))|esk394_3(X1,X2,X3)!=esk395_3(X1,X2,X3)|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_885]), ['final']).
% 282.28/198.91 cnf(i_0_3763, lemma, (in(X1,powerset(X2))|~ordinal(X2)|~in(X1,esk441_2(X2,X3))|~element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))), inference(rw,[status(thm)],[i_0_1812, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_3764, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk468_4(X1,X2,X3,X4),X4)|esk462_2(X1,X2)=esk466_2(X1,X2)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3765, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk468_4(X1,X2,X3,X4),X4)|esk462_2(X1,X2)=esk465_2(X1,X2)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3766, lemma, (relation(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|esk462_2(X1,X2)=esk466_2(X1,X2)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3767, lemma, (function(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|esk462_2(X1,X2)=esk466_2(X1,X2)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3768, lemma, (relation(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|esk462_2(X1,X2)=esk465_2(X1,X2)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3769, lemma, (function(esk469_2(X1,X2))|in(esk468_4(X1,X2,X3,X4),X4)|esk462_2(X1,X2)=esk465_2(X1,X2)|empty(X1)|esk467_2(X1,X2)!=X4|~in(X3,X4)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_3770, plain, (esk371_4(X1,X2,X3,X4)=X4|in(esk368_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3771, plain, (esk371_4(X1,X2,X3,X4)=X4|in(esk366_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3772, plain, (esk413_4(X1,X2,X3,X4)=X4|esk409_3(X1,X2,X3)=esk411_3(X1,X2,X3)|~in(X4,esk412_3(X1,X2,X3))|~element(X2,powerset(powerset(X1)))|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3773, plain, (esk413_4(X1,X2,X3,X4)=X4|esk409_3(X1,X2,X3)=esk410_3(X1,X2,X3)|~in(X4,esk412_3(X1,X2,X3))|~element(X2,powerset(powerset(X1)))|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3774, plain, (X3=set_difference(X1,set_difference(X1,X2))|~in(esk97_3(X1,X2,X3),X3)|~in(esk97_3(X1,X2,X3),X2)|~in(esk97_3(X1,X2,X3),X1)), inference(rw,[status(thm)],[i_0_1813, c_0_1814]), ['final']).
% 282.28/198.91 cnf(i_0_3775, plain, (X2=relation_rng(X1)|in(esk114_2(X1,X2),X2)|in(unordered_pair(unordered_pair(esk115_2(X1,X2),esk114_2(X1,X2)),unordered_pair(esk115_2(X1,X2),esk115_2(X1,X2))),X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_1815, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3776, plain, (X2=relation_dom(X1)|in(esk99_2(X1,X2),X2)|in(unordered_pair(unordered_pair(esk99_2(X1,X2),esk100_2(X1,X2)),unordered_pair(esk99_2(X1,X2),esk99_2(X1,X2))),X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_1816, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3777, plain, (X2=identity_relation(X1)|in(esk1_2(X1,X2),X1)|in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2))),X2)|~relation(X2)), inference(rw,[status(thm)],[i_0_1817, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3778, lemma, (in(unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)),X1)|~relation(X1)|~transitive(X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1818, c_0_1285]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3779, plain, (subnetstr(X1,X3,X2)|~subrelstr(X1,X2)|the_mapping(X3,X1)!=relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X3),the_mapping(X3,X2),the_carrier(X1))|~net_str(X1,X3)|~net_str(X2,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1819]), ['final']).
% 282.28/198.91 cnf(i_0_3780, plain, (in(unordered_pair(unordered_pair(X1,esk98_3(X3,X2,X1)),unordered_pair(X1,X1)),X3)|X2!=relation_dom(X3)|~relation(X3)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_1820, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3781, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|esk478_2(X2,X3)=subset_complement(the_carrier(X2),X6)|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|X5!=subset_complement(the_carrier(X2),esk480_3(X2,X3,X5))|~element(X6,powerset(the_carrier(X2)))|X6!=esk476_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3782, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|esk477_2(X2,X3)=subset_complement(the_carrier(X2),X6)|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|X5!=subset_complement(the_carrier(X2),esk480_3(X2,X3,X5))|~element(X6,powerset(the_carrier(X2)))|X6!=esk476_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3783, lemma, (relation_dom(esk469_2(X1,X2))=X1|empty(X1)|in(esk467_2(X1,X2),X1)|in(unordered_pair(unordered_pair(esk464_2(X1,X2),X3),unordered_pair(esk464_2(X1,X2),esk464_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk466_2(X1,X2))), inference(rw,[status(thm)],[i_0_1822, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3784, lemma, (relation_dom(esk469_2(X1,X2))=X1|empty(X1)|in(esk467_2(X1,X2),X1)|in(unordered_pair(unordered_pair(esk463_2(X1,X2),X3),unordered_pair(esk463_2(X1,X2),esk463_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk465_2(X1,X2))), inference(rw,[status(thm)],[i_0_1823, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3785, lemma, (empty(X1)|relation(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|in(unordered_pair(unordered_pair(esk464_2(X1,X2),X3),unordered_pair(esk464_2(X1,X2),esk464_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk466_2(X1,X2))), inference(rw,[status(thm)],[i_0_1824, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3786, lemma, (empty(X1)|relation(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|in(unordered_pair(unordered_pair(esk463_2(X1,X2),X3),unordered_pair(esk463_2(X1,X2),esk463_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk465_2(X1,X2))), inference(rw,[status(thm)],[i_0_1825, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3787, lemma, (empty(X1)|function(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|in(unordered_pair(unordered_pair(esk464_2(X1,X2),X3),unordered_pair(esk464_2(X1,X2),esk464_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk466_2(X1,X2))), inference(rw,[status(thm)],[i_0_1826, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3788, lemma, (empty(X1)|function(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|in(unordered_pair(unordered_pair(esk463_2(X1,X2),X3),unordered_pair(esk463_2(X1,X2),esk463_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk465_2(X1,X2))), inference(rw,[status(thm)],[i_0_1827, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3789, plain, (in(X4,a_1_0_filter_1(X2))|empty_carrier(X2)|~element(X1,the_carrier(X2))|~element(X3,the_carrier(X2))|X4!=ordered_pair_as_product_element(the_carrier(X2),the_carrier(X2),X1,X3)|~below_refl(X2,X1,X3)|~lattice(X2)|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1828]), ['final']).
% 282.28/198.91 cnf(i_0_3790, plain, (X2=identity_relation(X1)|esk2_2(X1,X2)=esk1_2(X1,X2)|in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2))),X2)|~relation(X2)), inference(rw,[status(thm)],[i_0_1829, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3791, plain, (X1=esk333_3(X3,X4,X2)|X2=empty_set|~in(X1,X2)|~subset(esk333_3(X3,X4,X2),X1)|~element(X2,powerset(powerset(esk332_2(X3,X4))))|~in(esk332_2(X3,X4),omega)|~in(X4,esk330_1(X3))|esk328_1(X3)!=esk329_1(X3)|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_928]), ['final']).
% 282.28/198.91 cnf(i_0_3792, lemma, (X1=esk253_4(X2,X3,X1,X4)|empty(X2)|in(esk249_2(X2,X3),esk251_2(X2,X3))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk252_2(X2,X3))), inference(rw,[status(thm)],[i_0_1830, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3793, lemma, (X1=esk253_4(X2,X3,X1,X4)|empty(X2)|in(esk248_2(X2,X3),esk250_2(X2,X3))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk252_2(X2,X3))), inference(rw,[status(thm)],[i_0_1831, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3794, plain, (function(partfun_dom_restriction(X1,X2,X3,X4))|~function(X3)|~relation_of2(X3,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1808]), ['final']).
% 282.28/198.91 cnf(i_0_3795, plain, (subset(X1,X2)|in(unordered_pair(unordered_pair(esk92_2(X1,X2),esk93_2(X1,X2)),unordered_pair(esk92_2(X1,X2),esk92_2(X1,X2))),X1)|~relation(X2)|~relation(X1)), inference(rw,[status(thm)],[i_0_1832, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3796, plain, (empty(X1)|empty(X2)|element(ordered_pair_as_product_element(X1,X2,X3,X4),cartesian_product2(X1,X2))|~element(X3,X1)|~element(X4,X2)), inference(split_conjunct,[status(thm)],[i_0_1833]), ['final']).
% 282.28/198.91 cnf(i_0_3797, plain, (point_neighbourhood(esk36_3(X1,X2,X3),X1,esk35_3(X1,X2,X3))|X3=lim_points_of_net(X1,X2)|empty_carrier(X2)|empty_carrier(X1)|~in(esk35_3(X1,X2,X3),X3)|~element(X3,powerset(the_carrier(X1)))|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1662]), ['final']).
% 282.28/198.91 cnf(i_0_3798, lemma, (X1=esk435_3(X3,X4,X2)|X2=empty_set|~in(X1,X2)|~subset(esk435_3(X3,X4,X2),X1)|~element(X2,powerset(powerset(esk434_2(X3,X4))))|~in(esk434_2(X3,X4),omega)|~in(X4,esk433_1(X3))|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_935]), ['final']).
% 282.28/198.91 cnf(i_0_3799, plain, (in(X3,esk307_3(X6,X7,X2))|empty_carrier(X6)|~in(X1,powerset(X2))|X1!=X3|X4!=X3|~element(X5,the_carrier(X6))|~in(X5,X7)|~relstr_set_smaller(X6,X4,X5)|esk301_3(X6,X7,X2)!=esk302_3(X6,X7,X2)|~transitive_relstr(X6)|~rel_str(X6)|~element(X7,powerset(the_carrier(X6)))|~finite(X2)|~element(X2,powerset(X7))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3800, lemma, (esk268_4(X1,X2,X3,X4)=X3|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X1,X2))|esk266_2(X1,X2)!=esk265_2(X1,X2)|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1834, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3801, plain, (related(X2,esk131_3(X2,X3,X4),X1)|relstr_set_smaller(X2,X3,esk130_3(X2,X3,X4))|ex_sup_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~relstr_set_smaller(X2,X3,X1)|~element(X4,the_carrier(X2))|~relstr_set_smaller(X2,X3,X4)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_3802, plain, (related(X2,X1,esk148_3(X2,X3,X4))|relstr_element_smaller(X2,X3,esk147_3(X2,X3,X4))|ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~relstr_element_smaller(X2,X3,X1)|~element(X4,the_carrier(X2))|~relstr_element_smaller(X2,X3,X4)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_3803, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk142_2(X1,X2),esk143_2(X1,X2)),unordered_pair(esk142_2(X1,X2),esk142_2(X1,X2))),X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_1835, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3804, plain, (is_transitive_in(X1,X2)|in(unordered_pair(unordered_pair(esk141_2(X1,X2),esk142_2(X1,X2)),unordered_pair(esk141_2(X1,X2),esk141_2(X1,X2))),X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_1836, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3805, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk102_2(X1,X2),esk101_2(X1,X2)),unordered_pair(esk102_2(X1,X2),esk102_2(X1,X2))),X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_1837, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3806, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk101_2(X1,X2),esk102_2(X1,X2)),unordered_pair(esk101_2(X1,X2),esk101_2(X1,X2))),X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_1838, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3807, plain, (esk389_4(X1,X2,X3,X4)=X4|~in(X4,esk388_3(X1,X2,X3))|esk382_2(X1,X2)!=esk383_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3808, plain, (esk371_4(X1,X2,X3,X4)=X4|~in(X4,esk370_3(X1,X2,X3))|esk364_2(X1,X2)!=esk365_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3809, lemma, (esk268_4(X1,X2,X3,X4)=X3|in(esk264_2(X1,X2),X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X1,X2))|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1839, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3810, lemma, (esk268_4(X1,X2,X3,X4)=X3|in(esk264_2(X1,X2),X2)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X1,X2))|~one_sorted_str(X1)|~in(X3,X2)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(rw,[status(thm)],[i_0_1840, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3811, plain, (esk362_4(X1,X2,X3,X4)=X4|in(X3,esk360_2(X1,X2))|esk359_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X5,powerset(the_carrier(X1)))|X5!=esk357_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3812, plain, (esk362_4(X1,X2,X3,X4)=X4|in(X3,esk360_2(X1,X2))|esk358_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~element(X5,powerset(the_carrier(X1)))|X5!=esk357_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3813, plain, (esk389_4(X1,X2,X3,X4)=X4|in(esk386_2(X1,X2),X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3814, plain, (esk389_4(X1,X2,X3,X4)=X4|in(esk384_2(X1,X2),X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3815, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|in(esk476_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|X5!=subset_complement(the_carrier(X2),esk480_3(X2,X3,X5))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3816, plain, (in(esk8_4(X1,X2,X3,X4),relation_dom(X1))|~in(X4,X3)|X3!=relation_image(X1,X2)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1841]), ['final']).
% 282.28/198.91 cnf(i_0_3817, plain, (X3=lim_points_of_net(X1,X2)|empty_carrier(X2)|empty_carrier(X1)|~is_eventually_in(X1,X2,esk36_3(X1,X2,X3))|~in(esk35_3(X1,X2,X3),X3)|~element(X3,powerset(the_carrier(X1)))|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1662]), ['final']).
% 282.28/198.91 cnf(i_0_3818, lemma, (X1=esk253_4(X2,X3,X1,X4)|empty(X2)|esk249_2(X2,X3)!=esk248_2(X2,X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk252_2(X2,X3))), inference(rw,[status(thm)],[i_0_1842, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3819, plain, (is_often_in(X3,X2,X4)|empty_carrier(X2)|empty_carrier(X3)|~element(X1,the_carrier(X2))|~related(X2,esk14_3(X3,X2,X4),X1)|~in(apply_netmap(X3,X2,X1),X4)|~net_str(X2,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1610]), ['final']).
% 282.28/198.91 cnf(i_0_3820, plain, (esk401_4(X1,X2,X3,X4)=X4|esk393_3(X1,X2,X3)=esk395_3(X1,X2,X3)|~in(X4,esk400_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_885]), ['final']).
% 282.28/198.91 cnf(i_0_3821, plain, (esk401_4(X1,X2,X3,X4)=X4|esk393_3(X1,X2,X3)=esk394_3(X1,X2,X3)|~in(X4,esk400_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_885]), ['final']).
% 282.28/198.91 cnf(i_0_3822, plain, (X1=apply(X2,esk8_4(X2,X3,X4,X1))|~in(X1,X4)|X4!=relation_image(X2,X3)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1841]), ['final']).
% 282.28/198.91 cnf(i_0_3823, plain, (in(esk8_4(X1,X2,X3,X4),X2)|~in(X4,X3)|X3!=relation_image(X1,X2)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1841]), ['final']).
% 282.28/198.91 cnf(i_0_3824, lemma, (X1=esk253_4(X2,X3,X1,X4)|empty(X2)|in(esk247_2(X2,X3),X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk252_2(X2,X3))), inference(rw,[status(thm)],[i_0_1843, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3825, lemma, (X1=esk253_4(X2,X3,X1,X4)|empty(X2)|in(esk247_2(X2,X3),X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk252_2(X2,X3))), inference(rw,[status(thm)],[i_0_1844, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3826, plain, (esk389_4(X1,X2,X3,X4)=X4|esk381_2(X1,X2)=esk383_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3827, plain, (esk389_4(X1,X2,X3,X4)=X4|esk381_2(X1,X2)=esk382_2(X1,X2)|~in(X4,esk388_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_887]), ['final']).
% 282.28/198.91 cnf(i_0_3828, plain, (esk371_4(X1,X2,X3,X4)=X4|esk363_2(X1,X2)=esk365_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3829, plain, (esk371_4(X1,X2,X3,X4)=X4|esk363_2(X1,X2)=esk364_2(X1,X2)|~in(X4,esk370_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_886]), ['final']).
% 282.28/198.91 cnf(i_0_3830, plain, (in(esk28_4(X1,X2,X3,X4),X2)|~in(X4,X3)|X3!=relation_inverse_image(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_908]), ['final']).
% 282.28/198.91 cnf(i_0_3831, plain, (in(esk25_4(X1,X2,X3,X4),X2)|~in(X4,X3)|X3!=relation_image(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_900]), ['final']).
% 282.28/198.91 cnf(i_0_3832, lemma, (empty(X1)|relation(esk252_2(X1,X2))|in(unordered_pair(unordered_pair(esk249_2(X1,X2),X3),unordered_pair(esk249_2(X1,X2),esk249_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk251_2(X1,X2))), inference(rw,[status(thm)],[i_0_1845, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3833, lemma, (empty(X1)|relation(esk252_2(X1,X2))|in(unordered_pair(unordered_pair(esk248_2(X1,X2),X3),unordered_pair(esk248_2(X1,X2),esk248_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk250_2(X1,X2))), inference(rw,[status(thm)],[i_0_1846, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3834, lemma, (empty(X1)|function(esk252_2(X1,X2))|in(unordered_pair(unordered_pair(esk249_2(X1,X2),X3),unordered_pair(esk249_2(X1,X2),esk249_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk251_2(X1,X2))), inference(rw,[status(thm)],[i_0_1847, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3835, lemma, (empty(X1)|function(esk252_2(X1,X2))|in(unordered_pair(unordered_pair(esk248_2(X1,X2),X3),unordered_pair(esk248_2(X1,X2),esk248_2(X1,X2))),X2)|~relation(X2)|~in(X3,esk250_2(X1,X2))), inference(rw,[status(thm)],[i_0_1848, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3836, plain, (in(X3,esk412_3(X5,X4,X2))|in(relation_image(X2,esk411_3(X5,X4,X2)),X4)|~in(X1,powerset(relation_dom(X2)))|X1!=X3|~in(relation_image(X2,X3),X4)|~element(X4,powerset(powerset(X5)))|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3837, plain, (in(X3,esk412_3(X5,X4,X2))|in(relation_image(X2,esk410_3(X5,X4,X2)),X4)|~in(X1,powerset(relation_dom(X2)))|X1!=X3|~in(relation_image(X2,X3),X4)|~element(X4,powerset(powerset(X5)))|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3838, plain, (in(esk35_3(X1,X2,X3),X3)|is_eventually_in(X1,X2,X4)|X3=lim_points_of_net(X1,X2)|empty_carrier(X2)|empty_carrier(X1)|~point_neighbourhood(X4,X1,esk35_3(X1,X2,X3))|~element(X3,powerset(the_carrier(X1)))|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1662]), ['final']).
% 282.28/198.91 cnf(i_0_3839, plain, (relstr_element_smaller(X1,X2,esk148_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|~related(X1,esk147_3(X1,X2,X3),X3)|~element(X3,the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_3840, plain, (relstr_set_smaller(X1,X2,esk131_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|~related(X1,X3,esk130_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_3841, lemma, (X1=esk253_4(X2,X3,X1,X4)|esk251_2(X2,X3)=esk247_2(X2,X3)|empty(X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk252_2(X2,X3))), inference(rw,[status(thm)],[i_0_1849, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3842, lemma, (X1=esk253_4(X2,X3,X1,X4)|esk250_2(X2,X3)=esk247_2(X2,X3)|empty(X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk252_2(X2,X3))), inference(rw,[status(thm)],[i_0_1850, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3843, plain, (in(esk84_4(X1,X2,X3,X4),X2)|~in(X4,X3)|X3!=cartesian_product2(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_904]), ['final']).
% 282.28/198.91 cnf(i_0_3844, plain, (in(esk83_4(X1,X2,X3,X4),X1)|~in(X4,X3)|X3!=cartesian_product2(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_904]), ['final']).
% 282.28/198.91 cnf(i_0_3845, plain, (in(relation_image(X1,X2),X3)|in(relation_image(X1,esk411_3(X4,X3,X1)),X3)|~in(X2,esk412_3(X4,X3,X1))|~element(X3,powerset(powerset(X4)))|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3846, plain, (in(relation_image(X1,X2),X3)|in(relation_image(X1,esk410_3(X4,X3,X1)),X3)|~in(X2,esk412_3(X4,X3,X1))|~element(X3,powerset(powerset(X4)))|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3847, lemma, (X4=subset_complement(the_carrier(X2),X1)|esk266_2(X2,X5)=subset_complement(the_carrier(X2),X6)|X1!=X3|X6!=esk264_2(X2,X5)|~one_sorted_str(X2)|~element(X6,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~element(X5,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X2,X5))), inference(rw,[status(thm)],[i_0_1851, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3848, lemma, (X4=subset_complement(the_carrier(X2),X1)|esk265_2(X2,X5)=subset_complement(the_carrier(X2),X6)|X1!=X3|X6!=esk264_2(X2,X5)|~one_sorted_str(X2)|~element(X6,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~element(X5,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X2,X5))), inference(rw,[status(thm)],[i_0_1852, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3849, lemma, (X4=subset_complement(the_carrier(X2),X1)|esk261_2(X2,X5)=subset_complement(the_carrier(X2),X6)|X1!=X3|X6!=esk259_2(X2,X5)|~one_sorted_str(X2)|~element(X6,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~element(X5,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X2,X5))), inference(rw,[status(thm)],[i_0_1853, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3850, lemma, (X4=subset_complement(the_carrier(X2),X1)|esk260_2(X2,X5)=subset_complement(the_carrier(X2),X6)|X1!=X3|X6!=esk259_2(X2,X5)|~one_sorted_str(X2)|~element(X6,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~element(X5,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X2,X5))), inference(rw,[status(thm)],[i_0_1854, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3851, lemma, (esk428_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk427_3(X1,X2,X3))|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~finite(X3)|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_1593]), ['final']).
% 282.28/198.91 cnf(i_0_3852, plain, (related(X2,esk131_3(X2,X3,X4),X1)|element(esk130_3(X2,X3,X4),the_carrier(X2))|ex_sup_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~relstr_set_smaller(X2,X3,X1)|~element(X4,the_carrier(X2))|~relstr_set_smaller(X2,X3,X4)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_3853, plain, (related(X2,X1,esk148_3(X2,X3,X4))|element(esk147_3(X2,X3,X4),the_carrier(X2))|ex_inf_of_relstr_set(X2,X3)|~element(X1,the_carrier(X2))|~relstr_element_smaller(X2,X3,X1)|~element(X4,the_carrier(X2))|~relstr_element_smaller(X2,X3,X4)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_3854, plain, (esk362_4(X1,X2,X3,X4)=X4|in(X3,esk360_2(X1,X2))|in(esk357_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3855, plain, (esk362_4(X1,X2,X3,X4)=X4|in(X3,esk360_2(X1,X2))|in(esk357_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3856, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|esk484_2(X4,X2)=subset_complement(the_carrier(X4),X6)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|X5!=subset_complement(the_carrier(X4),esk486_3(X4,X2,X5))|~element(X6,powerset(the_carrier(X4)))|X6!=esk482_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_3857, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|esk483_2(X4,X2)=subset_complement(the_carrier(X4),X6)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|X5!=subset_complement(the_carrier(X4),esk486_3(X4,X2,X5))|~element(X6,powerset(the_carrier(X4)))|X6!=esk482_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_3858, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|element(esk480_3(X2,X3,X5),powerset(the_carrier(X2)))|esk478_2(X2,X3)=subset_complement(the_carrier(X2),X6)|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|~element(X6,powerset(the_carrier(X2)))|X6!=esk476_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3859, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|element(esk480_3(X2,X3,X5),powerset(the_carrier(X2)))|esk477_2(X2,X3)=subset_complement(the_carrier(X2),X6)|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|~element(X6,powerset(the_carrier(X2)))|X6!=esk476_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3860, plain, (in(esk23_3(X1,X2,X3),esk24_3(X1,X2,X3))|X3=topstr_closure(X1,X2)|~in(esk23_3(X1,X2,X3),X3)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1783]), ['final']).
% 282.28/198.91 cnf(i_0_3861, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|X5!=subset_complement(the_carrier(X2),esk480_3(X2,X3,X5))|esk477_2(X2,X3)!=esk478_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3862, plain, (in(X3,esk307_3(X6,X7,X2))|element(esk306_3(X6,X7,X2),the_carrier(X6))|empty_carrier(X6)|~in(X1,powerset(X2))|X1!=X3|X4!=X3|~element(X5,the_carrier(X6))|~in(X5,X7)|~relstr_set_smaller(X6,X4,X5)|~transitive_relstr(X6)|~rel_str(X6)|~element(X7,powerset(the_carrier(X6)))|~finite(X2)|~element(X2,powerset(X7))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3863, plain, (in(X3,esk307_3(X6,X7,X2))|element(esk304_3(X6,X7,X2),the_carrier(X6))|empty_carrier(X6)|~in(X1,powerset(X2))|X1!=X3|X4!=X3|~element(X5,the_carrier(X6))|~in(X5,X7)|~relstr_set_smaller(X6,X4,X5)|~transitive_relstr(X6)|~rel_str(X6)|~element(X7,powerset(the_carrier(X6)))|~finite(X2)|~element(X2,powerset(X7))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3864, lemma, (empty_carrier(X1)|relstr_set_smaller(X1,X2,esk461_3(X1,X3,X2))|element(esk460_3(X1,X3,X2),the_carrier(X1))|~rel_str(X1)|~transitive_relstr(X1)|~finite(X2)|~in(X4,X3)|~element(X4,the_carrier(X1))|~element(X2,powerset(X3))|~relstr_set_smaller(X1,empty_set,X4)|~element(X3,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1856]), ['final']).
% 282.28/198.91 cnf(i_0_3865, plain, (empty_carrier(X1)|empty_carrier(X2)|apply_on_structs(X1,X2,X3,X4)=apply(X3,X4)|~one_sorted_str(X1)|~one_sorted_str(X2)|~function(X3)|~quasi_total(X3,the_carrier(X1),the_carrier(X2))|~relation_of2(X3,the_carrier(X1),the_carrier(X2))|~element(X4,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_1857]), ['final']).
% 282.28/198.91 cnf(i_0_3866, plain, (in(esk23_3(X1,X2,X3),X3)|X3=topstr_closure(X1,X2)|~element(X4,powerset(the_carrier(X1)))|~open_subset(X4,X1)|~in(esk23_3(X1,X2,X3),X4)|~disjoint(X2,X4)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1783]), ['final']).
% 282.28/198.91 cnf(i_0_3867, plain, (in(X3,esk307_3(X6,X7,X2))|in(esk306_3(X6,X7,X2),X7)|empty_carrier(X6)|~in(X1,powerset(X2))|X1!=X3|X4!=X3|~element(X5,the_carrier(X6))|~in(X5,X7)|~relstr_set_smaller(X6,X4,X5)|~transitive_relstr(X6)|~rel_str(X6)|~element(X7,powerset(the_carrier(X6)))|~finite(X2)|~element(X2,powerset(X7))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3868, plain, (in(X3,esk307_3(X6,X7,X2))|in(esk304_3(X6,X7,X2),X7)|empty_carrier(X6)|~in(X1,powerset(X2))|X1!=X3|X4!=X3|~element(X5,the_carrier(X6))|~in(X5,X7)|~relstr_set_smaller(X6,X4,X5)|~transitive_relstr(X6)|~rel_str(X6)|~element(X7,powerset(the_carrier(X6)))|~finite(X2)|~element(X2,powerset(X7))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3869, plain, (in(apply_netmap(X3,X2,X1),X4)|empty_carrier(X2)|empty_carrier(X3)|~element(X1,the_carrier(X2))|~related(X2,esk6_3(X3,X2,X4),X1)|~is_eventually_in(X3,X2,X4)|~net_str(X2,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1566]), ['final']).
% 282.28/198.91 cnf(i_0_3870, lemma, (empty_carrier(X1)|subset(esk459_3(X1,X3,X2),X2)|relstr_set_smaller(X1,X2,esk461_3(X1,X3,X2))|~rel_str(X1)|~transitive_relstr(X1)|~finite(X2)|~in(X4,X3)|~element(X4,the_carrier(X1))|~element(X2,powerset(X3))|~relstr_set_smaller(X1,empty_set,X4)|~element(X3,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1858]), ['final']).
% 282.28/198.91 cnf(i_0_3871, lemma, (empty_carrier(X1)|in(esk460_3(X1,X3,X2),X3)|relstr_set_smaller(X1,X2,esk461_3(X1,X3,X2))|~rel_str(X1)|~transitive_relstr(X1)|~finite(X2)|~in(X4,X3)|~element(X4,the_carrier(X1))|~element(X2,powerset(X3))|~relstr_set_smaller(X1,empty_set,X4)|~element(X3,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1859]), ['final']).
% 282.28/198.91 cnf(i_0_3872, lemma, (empty_carrier(X1)|in(esk458_3(X1,X3,X2),X2)|relstr_set_smaller(X1,X2,esk461_3(X1,X3,X2))|~rel_str(X1)|~transitive_relstr(X1)|~finite(X2)|~in(X4,X3)|~element(X4,the_carrier(X1))|~element(X2,powerset(X3))|~relstr_set_smaller(X1,empty_set,X4)|~element(X3,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1860]), ['final']).
% 282.28/198.91 cnf(i_0_3873, plain, (X3=X4|~relation(X1)|~in(X4,X2)|~in(X3,X2)|~is_antisymmetric_in(X1,X2)|~in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),X1)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1861, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3874, lemma, (esk261_2(X2,X3)=subset_complement(the_carrier(X2),X5)|in(X1,complements_of_subsets(the_carrier(X2),X3))|X5!=esk259_2(X2,X3)|~one_sorted_str(X2)|~element(X5,powerset(the_carrier(X2)))|~element(X3,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk262_2(X2,X3))), inference(rw,[status(thm)],[i_0_1862, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3875, lemma, (esk260_2(X2,X3)=subset_complement(the_carrier(X2),X5)|in(X1,complements_of_subsets(the_carrier(X2),X3))|X5!=esk259_2(X2,X3)|~one_sorted_str(X2)|~element(X5,powerset(the_carrier(X2)))|~element(X3,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk262_2(X2,X3))), inference(rw,[status(thm)],[i_0_1863, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3876, lemma, (X1=relation_dom_restriction(X3,X2)|relation_dom(X1)!=set_difference(relation_dom(X3),set_difference(relation_dom(X3),X2))|apply(X1,esk539_3(X2,X1,X3))!=apply(X3,esk539_3(X2,X1,X3))|~function(X3)|~function(X1)|~relation(X3)|~relation(X1)), inference(rw,[status(thm)],[i_0_1864, c_0_1814]), ['final']).
% 282.28/198.91 cnf(i_0_3877, plain, (element(esk148_3(X1,X2,X3),the_carrier(X1))|ex_inf_of_relstr_set(X1,X2)|~related(X1,esk147_3(X1,X2,X3),X3)|~element(X3,the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_3878, plain, (element(esk131_3(X1,X2,X3),the_carrier(X1))|ex_sup_of_relstr_set(X1,X2)|~related(X1,X3,esk130_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_3879, plain, (in(X3,esk307_3(X6,X7,X2))|esk305_3(X6,X7,X2)=esk302_3(X6,X7,X2)|empty_carrier(X6)|~in(X1,powerset(X2))|X1!=X3|X4!=X3|~element(X5,the_carrier(X6))|~in(X5,X7)|~relstr_set_smaller(X6,X4,X5)|~transitive_relstr(X6)|~rel_str(X6)|~element(X7,powerset(the_carrier(X6)))|~finite(X2)|~element(X2,powerset(X7))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3880, plain, (in(X3,esk307_3(X6,X7,X2))|esk303_3(X6,X7,X2)=esk301_3(X6,X7,X2)|empty_carrier(X6)|~in(X1,powerset(X2))|X1!=X3|X4!=X3|~element(X5,the_carrier(X6))|~in(X5,X7)|~relstr_set_smaller(X6,X4,X5)|~transitive_relstr(X6)|~rel_str(X6)|~element(X7,powerset(the_carrier(X6)))|~finite(X2)|~element(X2,powerset(X7))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3881, plain, (in(X3,esk307_3(X6,X7,X2))|esk300_3(X6,X7,X2)=esk302_3(X6,X7,X2)|empty_carrier(X6)|~in(X1,powerset(X2))|X1!=X3|X4!=X3|~element(X5,the_carrier(X6))|~in(X5,X7)|~relstr_set_smaller(X6,X4,X5)|~transitive_relstr(X6)|~rel_str(X6)|~element(X7,powerset(the_carrier(X6)))|~finite(X2)|~element(X2,powerset(X7))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3882, plain, (in(X3,esk307_3(X6,X7,X2))|esk300_3(X6,X7,X2)=esk301_3(X6,X7,X2)|empty_carrier(X6)|~in(X1,powerset(X2))|X1!=X3|X4!=X3|~element(X5,the_carrier(X6))|~in(X5,X7)|~relstr_set_smaller(X6,X4,X5)|~transitive_relstr(X6)|~rel_str(X6)|~element(X7,powerset(the_carrier(X6)))|~finite(X2)|~element(X2,powerset(X7))), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 282.28/198.91 cnf(i_0_3883, lemma, (X4=subset_complement(the_carrier(X2),X1)|in(esk259_2(X2,X5),complements_of_subsets(the_carrier(X2),X5))|X1!=X3|~one_sorted_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X5,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X2,X5))), inference(rw,[status(thm)],[i_0_1865, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3884, lemma, (X4=subset_complement(the_carrier(X2),X1)|in(esk259_2(X2,X5),complements_of_subsets(the_carrier(X2),X5))|X1!=X3|~one_sorted_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X5,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X2,X5))), inference(rw,[status(thm)],[i_0_1866, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3885, plain, (esk380_4(X1,X2,X3,X4)=X4|in(X3,esk378_2(X1,X2))|esk377_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,X2)|~element(X5,powerset(the_carrier(X1)))|X5!=esk375_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3886, plain, (esk380_4(X1,X2,X3,X4)=X4|in(X3,esk378_2(X1,X2))|esk376_2(X1,X2)=subset_complement(the_carrier(X1),X5)|~in(X4,X2)|~element(X5,powerset(the_carrier(X1)))|X5!=esk375_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3887, plain, (in(esk107_3(X1,X2,X3),X2)|X3=set_difference(X1,X2)|~in(esk107_3(X1,X2,X3),X3)|~in(esk107_3(X1,X2,X3),X1)), inference(split_conjunct,[status(thm)],[i_0_1867]), ['final']).
% 282.28/198.91 cnf(i_0_3888, plain, (esk295_4(X1,X2,X3,X4)=X4|in(esk292_2(X1,X2),esk293_2(X1,X2))|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3889, plain, (esk295_4(X1,X2,X3,X4)=X4|in(esk289_2(X1,X2),esk290_2(X1,X2))|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3890, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|element(esk480_3(X2,X3,X5),powerset(the_carrier(X2)))|in(esk476_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3891, plain, (esk362_4(X1,X2,X3,X4)=X4|in(X3,esk360_2(X1,X2))|~in(X4,complements_of_subsets(the_carrier(X1),X2))|esk358_2(X1,X2)!=esk359_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3892, plain, (in(esk333_3(X1,X2,X3),X3)|X3=empty_set|epred2_3(esk329_1(X1),esk328_1(X1),esk327_1(X1))|~element(X3,powerset(powerset(esk332_2(X1,X2))))|~in(esk332_2(X1,X2),omega)|~in(X2,esk330_1(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928]), ['final']).
% 282.28/198.91 cnf(i_0_3893, plain, (X1=esk170_4(X1,X2,X3,X4)|empty_carrier(X2)|empty_carrier(X3)|~in(X1,a_3_0_waybel_9(X2,X3,X4))|~one_sorted_str(X2)|~net_str(X3,X2)|~element(X4,the_carrier(X3))), inference(split_conjunct,[status(thm)],[i_0_1730]), ['final']).
% 282.28/198.91 cnf(i_0_3894, plain, (the_mapping(X1,X2)=partfun_dom_restriction(the_carrier(X3),the_carrier(X1),the_mapping(X1,X3),the_carrier(X2))|empty_carrier(X3)|empty_carrier(X1)|X2!=netstr_restr_to_element(X1,X3,X4)|~strict_net_str(X2,X1)|~net_str(X2,X1)|~element(X4,the_carrier(X3))|~net_str(X3,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1535]), ['final']).
% 282.28/198.91 cnf(i_0_3895, plain, (the_carrier(X1)=function_invverse_img_as_carrier_subset(X2,X3,the_mapping(X3,X2),X4)|X1!=preimage_subnetstr(X3,X2,X4)|~strict_net_str(X1,X3)|~subnetstr(X1,X3,X2)|~net_str(X2,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1795]), ['final']).
% 282.28/198.91 cnf(i_0_3896, lemma, (empty_carrier(X1)|element(esk460_3(X1,X2,X3),the_carrier(X1))|element(esk461_3(X1,X2,X3),the_carrier(X1))|~rel_str(X1)|~transitive_relstr(X1)|~finite(X3)|~in(X4,X2)|~element(X4,the_carrier(X1))|~element(X3,powerset(X2))|~relstr_set_smaller(X1,empty_set,X4)|~element(X2,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1868]), ['final']).
% 282.28/198.91 cnf(i_0_3897, plain, (empty(X1)|empty_carrier(X2)|apply_on_set_and_struct2(X1,X2,X3,X4)=apply(X3,X4)|~one_sorted_str(X2)|~function(X3)|~quasi_total(X3,X1,the_carrier(X2))|~relation_of2(X3,X1,the_carrier(X2))|~element(X4,X1)), inference(split_conjunct,[status(thm)],[i_0_1869]), ['final']).
% 282.28/198.91 cnf(i_0_3898, plain, (empty(X1)|empty_carrier(X2)|apply_on_set_and_struct(X1,X2,X3,X4)=apply(X3,X4)|~rel_str(X2)|~function(X3)|~quasi_total(X3,X1,the_carrier(X2))|~relation_of2(X3,X1,the_carrier(X2))|~element(X4,X1)), inference(split_conjunct,[status(thm)],[i_0_1870]), ['final']).
% 282.28/198.91 cnf(i_0_3899, lemma, (empty_carrier(X1)|subset(esk459_3(X1,X2,X3),X3)|element(esk461_3(X1,X2,X3),the_carrier(X1))|~rel_str(X1)|~transitive_relstr(X1)|~finite(X3)|~in(X4,X2)|~element(X4,the_carrier(X1))|~element(X3,powerset(X2))|~relstr_set_smaller(X1,empty_set,X4)|~element(X2,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1871]), ['final']).
% 282.28/198.91 cnf(i_0_3900, lemma, (empty_carrier(X1)|in(esk461_3(X1,X2,X3),X2)|element(esk460_3(X1,X2,X3),the_carrier(X1))|~rel_str(X1)|~transitive_relstr(X1)|~finite(X3)|~in(X4,X2)|~element(X4,the_carrier(X1))|~element(X3,powerset(X2))|~relstr_set_smaller(X1,empty_set,X4)|~element(X2,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1872]), ['final']).
% 282.28/198.91 cnf(i_0_3901, lemma, (empty_carrier(X1)|in(esk460_3(X1,X2,X3),X2)|element(esk461_3(X1,X2,X3),the_carrier(X1))|~rel_str(X1)|~transitive_relstr(X1)|~finite(X3)|~in(X4,X2)|~element(X4,the_carrier(X1))|~element(X3,powerset(X2))|~relstr_set_smaller(X1,empty_set,X4)|~element(X2,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1873]), ['final']).
% 282.28/198.91 cnf(i_0_3902, lemma, (empty_carrier(X1)|in(esk458_3(X1,X2,X3),X3)|element(esk461_3(X1,X2,X3),the_carrier(X1))|~rel_str(X1)|~transitive_relstr(X1)|~finite(X3)|~in(X4,X2)|~element(X4,the_carrier(X1))|~element(X3,powerset(X2))|~relstr_set_smaller(X1,empty_set,X4)|~element(X2,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1874]), ['final']).
% 282.28/198.91 cnf(i_0_3903, lemma, (in(X1,complements_of_subsets(the_carrier(X2),X3))|in(esk259_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk262_2(X2,X3))), inference(rw,[status(thm)],[i_0_1875, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3904, lemma, (in(X1,complements_of_subsets(the_carrier(X2),X3))|in(esk259_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk262_2(X2,X3))), inference(rw,[status(thm)],[i_0_1876, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3905, plain, (esk295_4(X1,X2,X3,X4)=X4|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|esk286_2(X1,X2)!=esk287_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3906, plain, (function_invverse_img_as_carrier_subset(X1,X2,X3,X4)=relation_inverse_image(X3,X4)|~one_sorted_str(X1)|~one_sorted_str(X2)|~function(X3)|~quasi_total(X3,the_carrier(X1),the_carrier(X2))|~relation_of2(X3,the_carrier(X1),the_carrier(X2))), inference(split_conjunct,[status(thm)],[i_0_1877]), ['final']).
% 282.28/198.91 cnf(i_0_3907, plain, (in(esk144_3(X1,X2,X3),X3)|in(subset_complement(X1,esk144_3(X1,X2,X3)),X2)|X3=complements_of_subsets(X1,X2)|~element(X3,powerset(powerset(X1)))|~element(X2,powerset(powerset(X1)))), inference(split_conjunct,[status(thm)],[i_0_1780]), ['final']).
% 282.28/198.91 cnf(i_0_3908, lemma, (empty_carrier(X1)|in(esk461_3(X1,X2,X3),X2)|subset(esk459_3(X1,X2,X3),X3)|~rel_str(X1)|~transitive_relstr(X1)|~finite(X3)|~in(X4,X2)|~element(X4,the_carrier(X1))|~element(X3,powerset(X2))|~relstr_set_smaller(X1,empty_set,X4)|~element(X2,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1878]), ['final']).
% 282.28/198.91 cnf(i_0_3909, lemma, (empty_carrier(X1)|in(esk460_3(X1,X2,X3),X2)|in(esk461_3(X1,X2,X3),X2)|~rel_str(X1)|~transitive_relstr(X1)|~finite(X3)|~in(X4,X2)|~element(X4,the_carrier(X1))|~element(X3,powerset(X2))|~relstr_set_smaller(X1,empty_set,X4)|~element(X2,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1879]), ['final']).
% 282.28/198.91 cnf(i_0_3910, lemma, (empty_carrier(X1)|in(esk458_3(X1,X2,X3),X3)|in(esk461_3(X1,X2,X3),X2)|~rel_str(X1)|~transitive_relstr(X1)|~finite(X3)|~in(X4,X2)|~element(X4,the_carrier(X1))|~element(X3,powerset(X2))|~relstr_set_smaller(X1,empty_set,X4)|~element(X2,powerset(the_carrier(X1)))), inference(cn,[status(thm)],[i_0_1880]), ['final']).
% 282.28/198.91 cnf(i_0_3911, plain, (esk295_4(X1,X2,X3,X4)=X4|in(esk291_2(X1,X2),X1)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3912, plain, (esk295_4(X1,X2,X3,X4)=X4|in(esk288_2(X1,X2),X1)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3913, lemma, (empty_carrier(X2)|empty_carrier(X3)|related(X3,X6,X7)|~one_sorted_str(X1)|~net_str(X2,X1)|~full_subnetstr(X3,X1,X2)|~subnetstr(X3,X1,X2)|~element(X4,the_carrier(X2))|~element(X5,the_carrier(X2))|~element(X6,the_carrier(X3))|~element(X7,the_carrier(X3))|X4!=X6|X5!=X7|~related(X2,X4,X5)), inference(split_conjunct,[status(thm)],[i_0_1881]), ['final']).
% 282.28/198.91 cnf(i_0_3914, lemma, (esk266_2(X4,X2)=subset_complement(the_carrier(X4),X5)|in(X1,X2)|X5!=esk264_2(X4,X2)|~one_sorted_str(X4)|~element(X5,powerset(the_carrier(X4)))|~element(X2,powerset(powerset(the_carrier(X4))))|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk267_2(X4,X2))), inference(rw,[status(thm)],[i_0_1882, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3915, lemma, (esk265_2(X4,X2)=subset_complement(the_carrier(X4),X5)|in(X1,X2)|X5!=esk264_2(X4,X2)|~one_sorted_str(X4)|~element(X5,powerset(the_carrier(X4)))|~element(X2,powerset(powerset(the_carrier(X4))))|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk267_2(X4,X2))), inference(rw,[status(thm)],[i_0_1883, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3916, lemma, (X4=subset_complement(the_carrier(X2),X1)|X1!=X3|esk266_2(X2,X5)!=esk265_2(X2,X5)|~one_sorted_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X5,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X2,X5))), inference(rw,[status(thm)],[i_0_1884, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3917, lemma, (X4=subset_complement(the_carrier(X2),X1)|X1!=X3|esk261_2(X2,X5)!=esk260_2(X2,X5)|~one_sorted_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X5,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk262_2(X2,X5))), inference(rw,[status(thm)],[i_0_1885, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3918, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|element(esk486_3(X4,X2,X5),powerset(the_carrier(X4)))|esk484_2(X4,X2)=subset_complement(the_carrier(X4),X6)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|~element(X6,powerset(the_carrier(X4)))|X6!=esk482_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_3919, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|element(esk486_3(X4,X2,X5),powerset(the_carrier(X4)))|esk483_2(X4,X2)=subset_complement(the_carrier(X4),X6)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|~element(X6,powerset(the_carrier(X4)))|X6!=esk482_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_3920, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|in(esk479_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|esk478_2(X2,X3)=subset_complement(the_carrier(X2),X5)|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|~element(X5,powerset(the_carrier(X2)))|X5!=esk476_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3921, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|in(esk479_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|esk477_2(X2,X3)=subset_complement(the_carrier(X2),X5)|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|~element(X5,powerset(the_carrier(X2)))|X5!=esk476_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3922, plain, (ex_inf_of_relstr_set(X1,X2)|esk148_3(X1,X2,X3)!=X3|~related(X1,esk147_3(X1,X2,X3),X3)|~element(X3,the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_3923, plain, (ex_sup_of_relstr_set(X1,X2)|esk131_3(X1,X2,X3)!=X3|~related(X1,X3,esk130_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_3924, lemma, (X4=subset_complement(the_carrier(X2),X1)|in(esk264_2(X2,X5),X5)|X1!=X3|~one_sorted_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X5,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X2,X5))), inference(rw,[status(thm)],[i_0_1886, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3925, lemma, (X4=subset_complement(the_carrier(X2),X1)|in(esk264_2(X2,X5),X5)|X1!=X3|~one_sorted_str(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X5,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),esk267_2(X2,X5))), inference(rw,[status(thm)],[i_0_1887, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3926, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|X5!=subset_complement(the_carrier(X4),esk486_3(X4,X2,X5))|esk483_2(X4,X2)!=esk484_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_3927, plain, (esk295_4(X1,X2,X3,X4)=X4|esk291_2(X1,X2)=esk293_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3928, plain, (esk295_4(X1,X2,X3,X4)=X4|esk288_2(X1,X2)=esk290_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3929, plain, (esk295_4(X1,X2,X3,X4)=X4|esk285_2(X1,X2)=esk287_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3930, plain, (esk295_4(X1,X2,X3,X4)=X4|esk285_2(X1,X2)=esk286_2(X1,X2)|empty(X1)|~in(X4,esk294_3(X1,X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_880]), ['final']).
% 282.28/198.91 cnf(i_0_3931, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|element(esk480_3(X2,X3,X5),powerset(the_carrier(X2)))|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|esk477_2(X2,X3)!=esk478_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3932, plain, (in(X3,esk412_3(X5,X4,X2))|~in(X1,powerset(relation_dom(X2)))|X1!=X3|~in(relation_image(X2,X3),X4)|esk410_3(X5,X4,X2)!=esk411_3(X5,X4,X2)|~element(X4,powerset(powerset(X5)))|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3933, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|in(esk482_2(X4,X2),X2)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|X5!=subset_complement(the_carrier(X4),esk486_3(X4,X2,X5))|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_3934, plain, (empty(X2)|in(esk278_2(X2,X3),esk280_2(X2,X3))|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X3)|~relation(X3)|~in(X4,esk281_2(X2,X3))|~in(X1,esk283_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1888, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3935, plain, (empty(X2)|in(esk277_2(X2,X3),esk279_2(X2,X3))|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X3)|~relation(X3)|~in(X4,esk281_2(X2,X3))|~in(X1,esk283_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1889, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3936, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|esk480_3(X2,X3,X5)=esk479_2(X2,X3)|esk478_2(X2,X3)=subset_complement(the_carrier(X2),X6)|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|~element(X6,powerset(the_carrier(X2)))|X6!=esk476_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3937, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|esk480_3(X2,X3,X5)=esk479_2(X2,X3)|esk477_2(X2,X3)=subset_complement(the_carrier(X2),X6)|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|~element(X6,powerset(the_carrier(X2)))|X6!=esk476_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3938, lemma, (X2=X3|~relation(X1)|~antisymmetric(X1)|~in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1890, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3939, plain, (empty(X1)|apply_as_element(X1,X3,X2,X4)=apply(X2,X4)|~function(X2)|~quasi_total(X2,X1,X3)|~relation_of2(X2,X1,X3)|~element(X4,X1)), inference(split_conjunct,[status(thm)],[i_0_1891]), ['final']).
% 282.28/198.91 cnf(i_0_3940, plain, (in(relation_image(X1,X2),X3)|~in(X2,esk412_3(X4,X3,X1))|esk410_3(X4,X3,X1)!=esk411_3(X4,X3,X1)|~element(X3,powerset(powerset(X4)))|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_3941, plain, (X2=relation_rng(X1)|~relation(X1)|~in(esk114_2(X1,X2),X2)|~in(unordered_pair(unordered_pair(X3,esk114_2(X1,X2)),unordered_pair(X3,X3)),X1)), inference(rw,[status(thm)],[i_0_1892, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3942, plain, (esk326_3(X1,X2,X3)=unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3))|unordered_pair(unordered_pair(esk321_1(X1),esk322_1(X1)),unordered_pair(esk321_1(X1),esk321_1(X1)))=esk318_1(X1)|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1893, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3943, plain, (esk326_3(X1,X2,X3)=unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3))|unordered_pair(unordered_pair(esk319_1(X1),esk320_1(X1)),unordered_pair(esk319_1(X1),esk319_1(X1)))=esk317_1(X1)|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1894, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3944, plain, (relstr_set_smaller(X1,X2,esk131_3(X1,X2,X3))|relstr_set_smaller(X1,X2,esk130_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_3945, plain, (relstr_element_smaller(X1,X2,esk148_3(X1,X2,X3))|relstr_element_smaller(X1,X2,esk147_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_3946, plain, (X3=X4|~function(X1)|~in(unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2)),X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1895, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3947, lemma, (in(X1,complements_of_subsets(the_carrier(X2),X3))|esk261_2(X2,X3)!=esk260_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))|~in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),esk262_2(X2,X3))), inference(rw,[status(thm)],[i_0_1896, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3948, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk478_2(X1,X2)=subset_complement(the_carrier(X1),X4)|X3!=subset_complement(the_carrier(X1),esk480_3(X1,X2,X3))|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3949, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk477_2(X1,X2)=subset_complement(the_carrier(X1),X4)|X3!=subset_complement(the_carrier(X1),esk480_3(X1,X2,X3))|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3950, plain, (element(esk24_3(X1,X2,X3),powerset(the_carrier(X1)))|X3=topstr_closure(X1,X2)|~in(esk23_3(X1,X2,X3),X3)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1783]), ['final']).
% 282.28/198.91 cnf(i_0_3951, plain, (empty(X2)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X3)|esk278_2(X2,X3)!=esk277_2(X2,X3)|~relation(X3)|~in(X4,esk281_2(X2,X3))|~in(X1,esk283_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1897, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3952, plain, (esk380_4(X1,X2,X3,X4)=X4|in(X3,esk378_2(X1,X2))|~in(X4,X2)|esk376_2(X1,X2)!=esk377_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3953, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|in(esk479_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|in(esk476_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3954, plain, (in(esk333_3(X1,X2,X3),X3)|X3=empty_set|~element(X3,powerset(powerset(esk332_2(X1,X2))))|~in(esk332_2(X1,X2),omega)|~in(X2,esk330_1(X1))|esk328_1(X1)!=esk329_1(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928]), ['final']).
% 282.28/198.91 cnf(i_0_3955, plain, (empty(X2)|in(esk276_2(X2,X3),X2)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X3)|~relation(X3)|~in(X4,esk281_2(X2,X3))|~in(X1,esk283_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1898, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3956, plain, (empty(X2)|in(esk276_2(X2,X3),X2)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X3)|~relation(X3)|~in(X4,esk281_2(X2,X3))|~in(X1,esk283_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1899, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3957, plain, (esk380_4(X1,X2,X3,X4)=X4|in(X3,esk378_2(X1,X2))|in(esk375_2(X1,X2),X2)|~in(X4,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3958, plain, (esk380_4(X1,X2,X3,X4)=X4|in(X3,esk378_2(X1,X2))|in(esk375_2(X1,X2),X2)|~in(X4,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3959, plain, (the_mapping(X1,X2)=relation_dom_restr_as_relation_of(the_carrier(X3),the_carrier(X1),the_mapping(X1,X3),the_carrier(X2))|~subnetstr(X2,X1,X3)|~net_str(X2,X1)|~net_str(X3,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1819]), ['final']).
% 282.28/198.91 cnf(i_0_3960, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|esk480_3(X2,X3,X5)=esk479_2(X2,X3)|in(esk476_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3961, plain, (X3=cartesian_product2(X1,X2)|esk85_3(X1,X2,X3)!=unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))|~in(X5,X2)|~in(X4,X1)|~in(esk85_3(X1,X2,X3),X3)), inference(rw,[status(thm)],[i_0_1900, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3962, lemma, (relation_dom(esk487_2(X1,X2))=X2|esk484_2(X1,X2)=subset_complement(the_carrier(X1),X4)|X3!=subset_complement(the_carrier(X1),esk486_3(X1,X2,X3))|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_3963, lemma, (relation_dom(esk487_2(X1,X2))=X2|esk483_2(X1,X2)=subset_complement(the_carrier(X1),X4)|X3!=subset_complement(the_carrier(X1),esk486_3(X1,X2,X3))|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_3964, lemma, (relation(esk487_2(X1,X2))|esk484_2(X1,X2)=subset_complement(the_carrier(X1),X4)|X3!=subset_complement(the_carrier(X1),esk486_3(X1,X2,X3))|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_3965, lemma, (function(esk487_2(X1,X2))|esk484_2(X1,X2)=subset_complement(the_carrier(X1),X4)|X3!=subset_complement(the_carrier(X1),esk486_3(X1,X2,X3))|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_3966, lemma, (relation(esk487_2(X1,X2))|esk483_2(X1,X2)=subset_complement(the_carrier(X1),X4)|X3!=subset_complement(the_carrier(X1),esk486_3(X1,X2,X3))|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_3967, lemma, (function(esk487_2(X1,X2))|esk483_2(X1,X2)=subset_complement(the_carrier(X1),X4)|X3!=subset_complement(the_carrier(X1),esk486_3(X1,X2,X3))|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_3968, lemma, (relation(esk481_2(X1,X2))|esk478_2(X1,X2)=subset_complement(the_carrier(X1),X4)|X3!=subset_complement(the_carrier(X1),esk480_3(X1,X2,X3))|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3969, lemma, (function(esk481_2(X1,X2))|esk478_2(X1,X2)=subset_complement(the_carrier(X1),X4)|X3!=subset_complement(the_carrier(X1),esk480_3(X1,X2,X3))|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3970, lemma, (relation(esk481_2(X1,X2))|esk477_2(X1,X2)=subset_complement(the_carrier(X1),X4)|X3!=subset_complement(the_carrier(X1),esk480_3(X1,X2,X3))|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3971, lemma, (function(esk481_2(X1,X2))|esk477_2(X1,X2)=subset_complement(the_carrier(X1),X4)|X3!=subset_complement(the_carrier(X1),esk480_3(X1,X2,X3))|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3972, lemma, (in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),relation_composition(identity_relation(X2),X4))|~relation(X4)|~in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X4)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1901, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3973, plain, (esk280_2(X2,X3)=esk276_2(X2,X3)|empty(X2)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X3)|~relation(X3)|~in(X4,esk281_2(X2,X3))|~in(X1,esk283_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1902, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3974, plain, (esk279_2(X2,X3)=esk276_2(X2,X3)|empty(X2)|in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X3)|~relation(X3)|~in(X4,esk281_2(X2,X3))|~in(X1,esk283_3(X2,X3,X4))), inference(rw,[status(thm)],[i_0_1903, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3975, lemma, (in(esk435_3(X1,X2,X3),X3)|X3=empty_set|~element(X3,powerset(powerset(esk434_2(X1,X2))))|~in(esk434_2(X1,X2),omega)|~in(X2,esk433_1(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_935]), ['final']).
% 282.28/198.91 cnf(i_0_3976, 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))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1904, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3977, plain, (open_subset(esk24_3(X1,X2,X3),X1)|X3=topstr_closure(X1,X2)|~in(esk23_3(X1,X2,X3),X3)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1783]), ['final']).
% 282.28/198.91 cnf(i_0_3978, plain, (disjoint(X1,esk24_3(X2,X1,X3))|X3=topstr_closure(X2,X1)|~in(esk23_3(X2,X1,X3),X3)|~element(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1783]), ['final']).
% 282.28/198.91 cnf(i_0_3979, plain, (in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X5)|X5!=relation_dom_restriction(X4,X2)|~relation(X5)|~relation(X4)|~in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X4)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1905, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3980, plain, (in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X5)|X5!=relation_rng_restriction(X2,X4)|~relation(X5)|~relation(X4)|~in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X4)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1906, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3981, plain, (X4=subset_complement(the_carrier(X2),X1)|esk377_2(X2,X3)=subset_complement(the_carrier(X2),X5)|~element(X1,powerset(the_carrier(X2)))|X1!=esk379_3(X2,X3,X4)|~in(X4,esk378_2(X2,X3))|~element(X5,powerset(the_carrier(X2)))|X5!=esk375_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3982, plain, (X4=subset_complement(the_carrier(X2),X1)|esk376_2(X2,X3)=subset_complement(the_carrier(X2),X5)|~element(X1,powerset(the_carrier(X2)))|X1!=esk379_3(X2,X3,X4)|~in(X4,esk378_2(X2,X3))|~element(X5,powerset(the_carrier(X2)))|X5!=esk375_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_3983, plain, (X4=subset_complement(the_carrier(X2),X1)|esk359_2(X2,X3)=subset_complement(the_carrier(X2),X5)|~element(X1,powerset(the_carrier(X2)))|X1!=esk361_3(X2,X3,X4)|~in(X4,esk360_2(X2,X3))|~element(X5,powerset(the_carrier(X2)))|X5!=esk357_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3984, plain, (X4=subset_complement(the_carrier(X2),X1)|esk358_2(X2,X3)=subset_complement(the_carrier(X2),X5)|~element(X1,powerset(the_carrier(X2)))|X1!=esk361_3(X2,X3,X4)|~in(X4,esk360_2(X2,X3))|~element(X5,powerset(the_carrier(X2)))|X5!=esk357_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3985, lemma, (in(X1,X2)|~function(X5)|~relation(X5)|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk275_3(X2,X4,X5))), inference(rw,[status(thm)],[i_0_1907, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3986, lemma, (in(X1,X2)|~function(X5)|~relation(X5)|~relation(X4)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),esk275_3(X2,X4,X5))), inference(rw,[status(thm)],[i_0_1908, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3987, plain, (in(esk361_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|esk359_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~in(X3,esk360_2(X1,X2))|~element(X4,powerset(the_carrier(X1)))|X4!=esk357_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3988, plain, (in(esk361_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|esk358_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~in(X3,esk360_2(X1,X2))|~element(X4,powerset(the_carrier(X1)))|X4!=esk357_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_3989, plain, (relstr_set_smaller(X1,X2,esk131_3(X1,X2,X3))|element(esk130_3(X1,X2,X3),the_carrier(X1))|ex_sup_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_3990, plain, (element(esk131_3(X1,X2,X3),the_carrier(X1))|relstr_set_smaller(X1,X2,esk130_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_3991, plain, (relstr_element_smaller(X1,X2,esk148_3(X1,X2,X3))|element(esk147_3(X1,X2,X3),the_carrier(X1))|ex_inf_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_3992, plain, (element(esk148_3(X1,X2,X3),the_carrier(X1))|relstr_element_smaller(X1,X2,esk147_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_3993, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk476_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|X3!=subset_complement(the_carrier(X1),esk480_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_3994, lemma, (in(X1,X2)|esk266_2(X4,X2)!=esk265_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk267_2(X4,X2))), inference(rw,[status(thm)],[i_0_1909, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3995, plain, (topological_space(X1)|~in(subset_intersection2(the_carrier(X1),esk47_1(X1),esk48_1(X1)),the_topology(X1))|~in(union_of_subsets(the_carrier(X1),esk46_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.91 cnf(i_0_3996, lemma, (in(X1,X2)|in(esk264_2(X4,X2),X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk267_2(X4,X2))), inference(rw,[status(thm)],[i_0_1911, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3997, lemma, (in(X1,X2)|in(esk264_2(X4,X2),X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk267_2(X4,X2))), inference(rw,[status(thm)],[i_0_1912, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_3998, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|element(esk486_3(X4,X2,X5),powerset(the_carrier(X4)))|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|esk483_2(X4,X2)!=esk484_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_3999, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|in(esk479_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|esk477_2(X2,X3)!=esk478_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4000, plain, (X3=esk145_2(X1,X2)|~related(X1,esk146_3(X1,X2,X3),X3)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~ex_inf_of_relstr_set(X1,X2)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_4001, plain, (X3=meet_on_relstr(X1,X2)|~related(X1,esk3_3(X1,X2,X3),X3)|~relstr_element_smaller(X1,X2,X3)|~ex_inf_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1913]), ['final']).
% 282.28/198.91 cnf(i_0_4002, plain, (X2=esk128_2(X1,X3)|~related(X1,X2,esk129_3(X1,X3,X2))|~relstr_set_smaller(X1,X3,X2)|~element(X2,the_carrier(X1))|~ex_sup_of_relstr_set(X1,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_4003, plain, (X2=join_on_relstr(X1,X3)|~related(X1,X2,esk151_3(X1,X3,X2))|~relstr_set_smaller(X1,X3,X2)|~ex_sup_of_relstr_set(X1,X3)|~element(X2,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1914]), ['final']).
% 282.28/198.91 cnf(i_0_4004, plain, (k10_filter_1(X1,X2,X3,X4)=unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3))|empty_carrier(X2)|empty_carrier(X1)|~latt_str(X2)|~latt_str(X1)|~lattice(X2)|~lattice(X1)|~element(X4,the_carrier(X2))|~element(X3,the_carrier(X1))), inference(rw,[status(thm)],[i_0_1915, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4005, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|element(esk486_3(X4,X2,X5),powerset(the_carrier(X4)))|in(esk482_2(X4,X2),X2)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4006, plain, (in(X3,esk412_3(X5,X4,X2))|esk409_3(X5,X4,X2)=esk411_3(X5,X4,X2)|~in(X1,powerset(relation_dom(X2)))|X1!=X3|~in(relation_image(X2,X3),X4)|~element(X4,powerset(powerset(X5)))|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_4007, plain, (in(X3,esk412_3(X5,X4,X2))|esk409_3(X5,X4,X2)=esk410_3(X5,X4,X2)|~in(X1,powerset(relation_dom(X2)))|X1!=X3|~in(relation_image(X2,X3),X4)|~element(X4,powerset(powerset(X5)))|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_4008, lemma, (X2=meet_of_latt_set(X1,X3)|empty_carrier(X1)|~below_refl(X1,esk525_3(X1,X2,X3),X2)|~latt_set_smaller(X1,X2,X3)|~element(X2,the_carrier(X1))|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1916]), ['final']).
% 282.28/198.91 cnf(i_0_4009, plain, (X2=join_of_latt_set(X1,X3)|empty_carrier(X1)|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_element_smaller(X1,X2,X3)|~element(X2,the_carrier(X1))|~below(X1,X2,esk68_3(X1,X3,X2))), inference(cn,[status(thm)],[i_0_1917]), ['final']).
% 282.28/198.91 cnf(i_0_4010, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|esk486_3(X4,X2,X5)=esk485_2(X4,X2)|esk484_2(X4,X2)=subset_complement(the_carrier(X4),X6)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|~element(X6,powerset(the_carrier(X4)))|X6!=esk482_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4011, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|esk486_3(X4,X2,X5)=esk485_2(X4,X2)|esk483_2(X4,X2)=subset_complement(the_carrier(X4),X6)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|~element(X6,powerset(the_carrier(X4)))|X6!=esk482_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4012, plain, (in(esk348_3(X1,X2,X3),powerset(the_carrier(X1)))|in(set_difference(cast_as_carrier_subset(X1),esk346_2(X1,X2)),X2)|~in(X3,esk347_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4013, plain, (in(esk348_3(X1,X2,X3),powerset(the_carrier(X1)))|in(set_difference(cast_as_carrier_subset(X1),esk345_2(X1,X2)),X2)|~in(X3,esk347_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4014, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|X4!=relation_rng_restriction(X5,X3)|~relation(X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X4)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1919, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4015, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|X4!=relation_dom_restriction(X3,X5)|~relation(X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X4)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1920, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4016, lemma, (in(X1,esk427_3(X5,X6,X2))|empty_carrier(X5)|~in(X1,powerset(X2))|X3!=X1|~element(X4,the_carrier(X5))|~in(X4,X6)|~relstr_set_smaller(X5,X3,X4)|~transitive_relstr(X5)|~rel_str(X5)|~element(X6,powerset(the_carrier(X5)))|~finite(X2)|~element(X2,powerset(X6))), inference(split_conjunct,[status(thm)],[i_0_1593]), ['final']).
% 282.28/198.91 cnf(i_0_4017, lemma, (apply(esk481_2(X2,X3),X1)=subset_complement(the_carrier(X2),X4)|esk480_3(X2,X3,X5)=esk479_2(X2,X3)|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~element(X4,powerset(the_carrier(X2)))|X4!=X1|esk477_2(X2,X3)!=esk478_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4018, plain, (in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X2)|~relation(X2)|~relation(X1)|~subset(X1,X2)|~in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1921, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4019, lemma, (relation(esk481_2(X1,X2))|in(esk476_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|X3!=subset_complement(the_carrier(X1),esk480_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4020, lemma, (function(esk481_2(X1,X2))|in(esk476_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|X3!=subset_complement(the_carrier(X1),esk480_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4021, plain, (in(relation_image(X1,X2),X3)|esk409_3(X4,X3,X1)=esk411_3(X4,X3,X1)|~in(X2,esk412_3(X4,X3,X1))|~element(X3,powerset(powerset(X4)))|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_4022, plain, (in(relation_image(X1,X2),X3)|esk409_3(X4,X3,X1)=esk410_3(X4,X3,X1)|~in(X2,esk412_3(X4,X3,X1))|~element(X3,powerset(powerset(X4)))|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 282.28/198.91 cnf(i_0_4023, plain, (in(apply(X1,esk19_3(X1,X2,X3)),X2)|in(esk19_3(X1,X2,X3),X3)|X3=relation_inverse_image(X1,X2)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1721]), ['final']).
% 282.28/198.91 cnf(i_0_4024, lemma, (in(X1,cartesian_product2(complements_of_subsets(the_carrier(X2),X3),X4))|~in(X1,esk443_3(X2,X3,X4))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_888]), ['final']).
% 282.28/198.91 cnf(i_0_4025, lemma, (X1=join_on_relstr(X2,X3)|~related(X2,X1,esk521_3(X2,X1,X3))|~relstr_set_smaller(X2,X3,X1)|~element(X1,the_carrier(X2))|~antisymmetric_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1922]), ['final']).
% 282.28/198.91 cnf(i_0_4026, lemma, (ex_inf_of_relstr_set(X1,X2)|~related(X1,esk506_3(X1,X2,X3),X3)|~element(X3,the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1923]), ['final']).
% 282.28/198.91 cnf(i_0_4027, lemma, (ex_sup_of_relstr_set(X1,X2)|~related(X1,X3,esk521_3(X1,X3,X2))|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1922]), ['final']).
% 282.28/198.91 cnf(i_0_4028, lemma, (ex_sup_of_relstr_set(X1,X3)|~related(X1,X2,esk503_3(X1,X3,X2))|~element(X2,the_carrier(X1))|~relstr_set_smaller(X1,X3,X2)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1924]), ['final']).
% 282.28/198.91 cnf(i_0_4029, plain, (in(X2,esk330_1(X1))|epred2_3(esk329_1(X1),esk328_1(X1),esk327_1(X1))|element(esk334_3(X1,X2,X3),powerset(powerset(X3)))|X2!=X4|X2!=X3|~ordinal(X3)|~ordinal(X1)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_1925, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4030, plain, (X4=subset_complement(the_carrier(X2),X1)|in(esk357_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|~element(X1,powerset(the_carrier(X2)))|X1!=esk361_3(X2,X3,X4)|~in(X4,esk360_2(X2,X3))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_4031, plain, (X4=subset_complement(the_carrier(X2),X1)|in(esk357_2(X2,X3),complements_of_subsets(the_carrier(X2),X3))|~element(X1,powerset(the_carrier(X2)))|X1!=esk361_3(X2,X3,X4)|~in(X4,esk360_2(X2,X3))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_4032, plain, (empty_carrier(X1)|empty_carrier(X2)|apply_netmap(X1,X2,X3)=apply_on_structs(X2,X1,the_mapping(X1,X2),X3)|~one_sorted_str(X1)|~net_str(X2,X1)|~element(X3,the_carrier(X2))), inference(split_conjunct,[status(thm)],[i_0_1926]), ['final']).
% 282.28/198.91 cnf(i_0_4033, plain, (in(esk361_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|in(esk357_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X3,esk360_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_4034, plain, (in(esk361_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|in(esk357_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~in(X3,esk360_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_4035, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk480_3(X1,X2,X3),powerset(the_carrier(X1)))|esk478_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4036, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk480_3(X1,X2,X3),powerset(the_carrier(X1)))|esk477_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4037, plain, (X3=set_union2(X1,X2)|~in(esk79_3(X1,X2,X3),X1)|~in(esk79_3(X1,X2,X3),X3)), inference(split_conjunct,[status(thm)],[i_0_1927]), ['final']).
% 282.28/198.91 cnf(i_0_4038, plain, (X3=set_union2(X1,X2)|~in(esk79_3(X1,X2,X3),X2)|~in(esk79_3(X1,X2,X3),X3)), inference(split_conjunct,[status(thm)],[i_0_1927]), ['final']).
% 282.28/198.91 cnf(i_0_4039, lemma, (related(X2,X5,X6)|~rel_str(X1)|~full_subrelstr(X2,X1)|~subrelstr(X2,X1)|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X1))|~element(X5,the_carrier(X2))|~element(X6,the_carrier(X2))|X5!=X3|X6!=X4|~related(X1,X3,X4)|~in(X5,the_carrier(X2))|~in(X6,the_carrier(X2))), inference(split_conjunct,[status(thm)],[i_0_1928]), ['final']).
% 282.28/198.91 cnf(i_0_4040, plain, (element(esk131_3(X1,X2,X3),the_carrier(X1))|element(esk130_3(X1,X2,X3),the_carrier(X1))|ex_sup_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_4041, plain, (element(esk148_3(X1,X2,X3),the_carrier(X1))|element(esk147_3(X1,X2,X3),the_carrier(X1))|ex_inf_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_4042, lemma, (related(X2,X4,X5)|~one_sorted_str(X1)|~net_str(X2,X1)|~subnetstr(X3,X1,X2)|~element(X4,the_carrier(X2))|~element(X5,the_carrier(X2))|~element(X6,the_carrier(X3))|~element(X7,the_carrier(X3))|X4!=X6|X5!=X7|~related(X3,X6,X7)), inference(split_conjunct,[status(thm)],[i_0_1929]), ['final']).
% 282.28/198.91 cnf(i_0_4043, plain, (in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X4)|X3!=relation_inverse(X4)|~relation(X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1930, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4044, plain, (in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X4)|X4!=relation_inverse(X3)|~relation(X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1931, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4045, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|X3!=subset_complement(the_carrier(X1),esk480_3(X1,X2,X3))|esk477_2(X1,X2)!=esk478_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4046, plain, (in(esk379_3(X1,X2,X3),X2)|esk377_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~in(X3,esk378_2(X1,X2))|~element(X4,powerset(the_carrier(X1)))|X4!=esk375_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_4047, plain, (in(esk379_3(X1,X2,X3),X2)|esk376_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~in(X3,esk378_2(X1,X2))|~element(X4,powerset(the_carrier(X1)))|X4!=esk375_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_4048, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk179_1(X1),esk178_1(X1)),unordered_pair(esk179_1(X1),esk179_1(X1))),X1)), inference(rw,[status(thm)],[i_0_1932, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4049, lemma, (connected(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk178_1(X1),esk179_1(X1)),unordered_pair(esk178_1(X1),esk178_1(X1))),X1)), inference(rw,[status(thm)],[i_0_1933, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4050, lemma, (reflexive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk171_1(X1),esk171_1(X1)),unordered_pair(esk171_1(X1),esk171_1(X1))),X1)), inference(rw,[status(thm)],[i_0_1934, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4051, lemma, (transitive(X1)|~relation(X1)|~in(unordered_pair(unordered_pair(esk172_1(X1),esk174_1(X1)),unordered_pair(esk172_1(X1),esk172_1(X1))),X1)), inference(rw,[status(thm)],[i_0_1935, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4052, plain, (relstr_set_smaller(X1,X2,esk130_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|esk131_3(X1,X2,X3)!=X3|~element(X3,the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_4053, plain, (relstr_element_smaller(X1,X2,esk147_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|esk148_3(X1,X2,X3)!=X3|~element(X3,the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_4054, plain, (is_a_cluster_point_of_netstr(X1,X2,X3)|empty_carrier(X2)|empty_carrier(X1)|~is_often_in(X1,X2,esk150_3(X1,X2,X3))|~element(X3,the_carrier(X1))|~net_str(X2,X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1936]), ['final']).
% 282.28/198.91 cnf(i_0_4055, plain, (in(X3,esk347_2(X2,X4))|in(set_difference(cast_as_carrier_subset(X2),esk346_2(X2,X4)),X4)|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~in(set_difference(cast_as_carrier_subset(X2),X3),X4)|~topological_space(X2)|~top_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4056, plain, (in(X3,esk347_2(X2,X4))|in(set_difference(cast_as_carrier_subset(X2),esk345_2(X2,X4)),X4)|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~in(set_difference(cast_as_carrier_subset(X2),X3),X4)|~topological_space(X2)|~top_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4057, lemma, (X1=esk274_2(X3,X2)|X2=empty_set|X4=esk271_2(X6,X5)|X5=empty_set|~in(X1,X2)|~subset(esk274_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|~in(X4,X5)|~subset(esk271_2(X6,X5),X4)|~element(X5,powerset(powerset(X6)))|~in(X6,omega)|~in(X6,esk270_0)|~ordinal(X6)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.91 cnf(i_0_4058, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|in(esk485_2(X4,X2),X2)|esk484_2(X4,X2)=subset_complement(the_carrier(X4),X5)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|~element(X5,powerset(the_carrier(X4)))|X5!=esk482_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4059, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|in(esk485_2(X4,X2),X2)|esk483_2(X4,X2)=subset_complement(the_carrier(X4),X5)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|~element(X5,powerset(the_carrier(X4)))|X5!=esk482_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4060, plain, (X2=pair_second(X1)|X1=unordered_pair(unordered_pair(esk70_2(X1,X2),esk71_2(X1,X2)),unordered_pair(esk70_2(X1,X2),esk70_2(X1,X2)))|X1!=unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1938, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4061, plain, (X2=pair_first(X1)|X1=unordered_pair(unordered_pair(esk44_2(X1,X2),esk45_2(X1,X2)),unordered_pair(esk44_2(X1,X2),esk44_2(X1,X2)))|X1!=unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1939, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4062, lemma, (X1=esk492_2(X3,X2)|X2=empty_set|X4=esk489_2(X6,X5)|X5=empty_set|~in(X1,X2)|~subset(esk492_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|~in(X4,X5)|~subset(esk489_2(X6,X5),X4)|~element(X5,powerset(powerset(X6)))|~in(X6,omega)|~in(X6,esk488_0)|~ordinal(X6)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.91 cnf(i_0_4063, plain, (X3=relation_image(X1,X2)|~in(esk9_3(X1,X2,X3),X3)|~in(X4,relation_dom(X1))|~in(X4,X2)|esk9_3(X1,X2,X3)!=apply(X1,X4)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1841]), ['final']).
% 282.28/198.91 cnf(i_0_4064, plain, (directed_subset(X3,X2)|~element(X1,the_carrier(X2))|~in(X1,X3)|~related(X2,esk59_2(X2,X3),X1)|~related(X2,esk60_2(X2,X3),X1)|~element(X3,powerset(the_carrier(X2)))|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1766]), ['final']).
% 282.28/198.91 cnf(i_0_4065, plain, (in(esk79_3(X1,X2,X3),X3)|in(esk79_3(X1,X2,X3),X1)|in(esk79_3(X1,X2,X3),X2)|X3=set_union2(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1927]), ['final']).
% 282.28/198.91 cnf(i_0_4066, plain, (unordered_pair(unordered_pair(esk321_1(X2),esk322_1(X2)),unordered_pair(esk321_1(X2),esk321_1(X2)))=esk318_1(X2)|in(X4,esk323_2(X2,X3))|X1!=X4|X6!=unordered_pair(X5,X5)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~in(X5,X2)|~in(X1,cartesian_product2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1941, c_0_882]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4067, plain, (unordered_pair(unordered_pair(esk319_1(X2),esk320_1(X2)),unordered_pair(esk319_1(X2),esk319_1(X2)))=esk317_1(X2)|in(X4,esk323_2(X2,X3))|X1!=X4|X6!=unordered_pair(X5,X5)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~in(X5,X2)|~in(X1,cartesian_product2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1942, c_0_882]), c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4068, lemma, (relation_dom(esk487_2(X1,X2))=X2|element(esk486_3(X1,X2,X3),powerset(the_carrier(X1)))|esk484_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4069, lemma, (relation_dom(esk487_2(X1,X2))=X2|element(esk486_3(X1,X2,X3),powerset(the_carrier(X1)))|esk483_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4070, lemma, (relation(esk487_2(X1,X2))|element(esk486_3(X1,X2,X3),powerset(the_carrier(X1)))|esk484_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4071, lemma, (function(esk487_2(X1,X2))|element(esk486_3(X1,X2,X3),powerset(the_carrier(X1)))|esk484_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4072, lemma, (relation(esk487_2(X1,X2))|element(esk486_3(X1,X2,X3),powerset(the_carrier(X1)))|esk483_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4073, lemma, (function(esk487_2(X1,X2))|element(esk486_3(X1,X2,X3),powerset(the_carrier(X1)))|esk483_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4074, lemma, (relation(esk481_2(X1,X2))|element(esk480_3(X1,X2,X3),powerset(the_carrier(X1)))|esk478_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4075, lemma, (function(esk481_2(X1,X2))|element(esk480_3(X1,X2,X3),powerset(the_carrier(X1)))|esk478_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4076, lemma, (relation(esk481_2(X1,X2))|element(esk480_3(X1,X2,X3),powerset(the_carrier(X1)))|esk477_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4077, lemma, (function(esk481_2(X1,X2))|element(esk480_3(X1,X2,X3),powerset(the_carrier(X1)))|esk477_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4078, plain, (esk322_1(X1)=unordered_pair(esk321_1(X1),esk321_1(X1))|esk326_3(X1,X2,X3)=unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3))|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1943, c_0_882]), c_0_882]), ['final']).
% 282.28/198.91 cnf(i_0_4079, plain, (esk320_1(X1)=unordered_pair(esk319_1(X1),esk319_1(X1))|esk326_3(X1,X2,X3)=unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3))|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1944, c_0_882]), c_0_882]), ['final']).
% 282.28/198.91 cnf(i_0_4080, plain, (element(esk46_1(X1),powerset(powerset(the_carrier(X1))))|topological_space(X1)|~in(subset_intersection2(the_carrier(X1),esk47_1(X1),esk48_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.91 cnf(i_0_4081, lemma, (relation_dom(esk487_2(X1,X2))=X2|X3!=subset_complement(the_carrier(X1),esk486_3(X1,X2,X3))|esk483_2(X1,X2)!=esk484_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4082, lemma, (relation(esk487_2(X1,X2))|X3!=subset_complement(the_carrier(X1),esk486_3(X1,X2,X3))|esk483_2(X1,X2)!=esk484_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4083, lemma, (relation(esk481_2(X1,X2))|X3!=subset_complement(the_carrier(X1),esk480_3(X1,X2,X3))|esk477_2(X1,X2)!=esk478_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4084, lemma, (function(esk487_2(X1,X2))|X3!=subset_complement(the_carrier(X1),esk486_3(X1,X2,X3))|esk483_2(X1,X2)!=esk484_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4085, lemma, (function(esk481_2(X1,X2))|X3!=subset_complement(the_carrier(X1),esk480_3(X1,X2,X3))|esk477_2(X1,X2)!=esk478_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4086, lemma, (X2=function_inverse(X1)|~in(esk535_2(X1,X2),relation_rng(X1))|esk536_2(X1,X2)!=apply(X2,esk535_2(X1,X2))|~in(esk534_2(X1,X2),relation_dom(X1))|esk533_2(X1,X2)!=apply(X1,esk534_2(X1,X2))|relation_dom(X2)!=relation_rng(X1)|~relation(X2)|~function(X2)|~one_to_one(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 282.28/198.91 cnf(i_0_4087, lemma, (relation_dom(esk487_2(X1,X2))=X2|in(esk482_2(X1,X2),X2)|X3!=subset_complement(the_carrier(X1),esk486_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4088, lemma, (X2=X3|in(unordered_pair(unordered_pair(X3,X2),unordered_pair(X3,X3)),X1)|in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1)|~relation(X1)|~connected(X1)|~in(X3,relation_field(X1))|~in(X2,relation_field(X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1946, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4089, lemma, (relation(esk487_2(X1,X2))|in(esk482_2(X1,X2),X2)|X3!=subset_complement(the_carrier(X1),esk486_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4090, lemma, (function(esk487_2(X1,X2))|in(esk482_2(X1,X2),X2)|X3!=subset_complement(the_carrier(X1),esk486_3(X1,X2,X3))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4091, plain, (ordered_pair_as_product_element(X1,X2,X3,X4)=unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3))|empty(X2)|empty(X1)|~element(X4,X2)|~element(X3,X1)), inference(rw,[status(thm)],[i_0_1947, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4092, plain, (esk326_3(X1,X2,X3)=unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3))|in(esk321_1(X1),X1)|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_1948, c_0_882]), ['final']).
% 282.28/198.91 cnf(i_0_4093, plain, (esk326_3(X1,X2,X3)=unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3))|in(esk319_1(X1),X1)|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_1949, c_0_882]), ['final']).
% 282.28/198.91 cnf(i_0_4094, plain, (X3=X4|in(unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)),X1)|in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X1)|~relation(X1)|~in(X4,X2)|~in(X3,X2)|~is_connected_in(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1950, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4095, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk480_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk476_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4096, plain, (X4=subset_complement(the_carrier(X2),X1)|~element(X1,powerset(the_carrier(X2)))|X1!=esk379_3(X2,X3,X4)|~in(X4,esk378_2(X2,X3))|esk376_2(X2,X3)!=esk377_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_4097, plain, (X4=subset_complement(the_carrier(X2),X1)|~element(X1,powerset(the_carrier(X2)))|X1!=esk361_3(X2,X3,X4)|~in(X4,esk360_2(X2,X3))|esk358_2(X2,X3)!=esk359_2(X2,X3)|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_4098, plain, (in(esk361_3(X1,X2,X3),complements_of_subsets(the_carrier(X1),X2))|~in(X3,esk360_2(X1,X2))|esk358_2(X1,X2)!=esk359_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 282.28/198.91 cnf(i_0_4099, plain, (X1=ordered_pair_as_product_element(the_carrier(X2),the_carrier(X2),esk166_2(X1,X2),esk167_2(X1,X2))|empty_carrier(X2)|~in(X1,a_1_0_filter_1(X2))|~lattice(X2)|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1828]), ['final']).
% 282.28/198.91 cnf(i_0_4100, plain, (related(X3,X1,X2)|~rel_str(X3)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),the_InternalRel(X3))), inference(rw,[status(thm)],[i_0_1951, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4101, plain, (in(X1,relation_field(X2))|~function(X5)|~relation(X5)|~relation(X4)|~relation(X2)|~relation_isomorphism(X2,X4,X5)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2)), inference(rw,[status(thm)],[i_0_1952, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4102, plain, (in(X1,relation_field(X2))|~function(X5)|~relation(X5)|~relation(X4)|~relation(X2)|~relation_isomorphism(X2,X4,X5)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1953, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4103, plain, (X4=subset_complement(the_carrier(X2),X1)|in(esk375_2(X2,X3),X3)|~element(X1,powerset(the_carrier(X2)))|X1!=esk379_3(X2,X3,X4)|~in(X4,esk378_2(X2,X3))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_4104, plain, (X4=subset_complement(the_carrier(X2),X1)|in(esk375_2(X2,X3),X3)|~element(X1,powerset(the_carrier(X2)))|X1!=esk379_3(X2,X3,X4)|~in(X4,esk378_2(X2,X3))|~one_sorted_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_4105, lemma, (empty(X2)|in(X1,X2)|in(esk249_2(X2,X4),esk251_2(X2,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk252_2(X2,X4))), inference(rw,[status(thm)],[i_0_1954, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4106, lemma, (empty(X2)|in(X1,X2)|in(esk248_2(X2,X4),esk250_2(X2,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk252_2(X2,X4))), inference(rw,[status(thm)],[i_0_1955, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4107, plain, (esk326_3(X1,X2,X3)=unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3))|esk318_1(X1)!=esk317_1(X1)|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_1956, c_0_882]), ['final']).
% 282.28/198.91 cnf(i_0_4108, plain, (relation_of2_as_subset(esk15_3(X1,X2,X3),the_carrier(X3),the_carrier(X2))|empty_carrier(X3)|empty_carrier(X2)|empty_carrier(X1)|~subnet(X3,X1,X2)|~transitive_relstr(X3)|~directed_relstr(X3)|~net_str(X3,X1)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1381]), ['final']).
% 282.28/198.91 cnf(i_0_4109, plain, (quasi_total(esk15_3(X1,X2,X3),the_carrier(X3),the_carrier(X2))|empty_carrier(X3)|empty_carrier(X2)|empty_carrier(X1)|~subnet(X3,X1,X2)|~transitive_relstr(X3)|~directed_relstr(X3)|~net_str(X3,X1)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1381]), ['final']).
% 282.28/198.91 cnf(i_0_4110, plain, (element(esk130_3(X1,X2,X3),the_carrier(X1))|ex_sup_of_relstr_set(X1,X2)|esk131_3(X1,X2,X3)!=X3|~element(X3,the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_4111, plain, (element(esk147_3(X1,X2,X3),the_carrier(X1))|ex_inf_of_relstr_set(X1,X2)|esk148_3(X1,X2,X3)!=X3|~element(X3,the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_4112, plain, (partfun_dom_restriction(X2,X3,X1,X4)=relation_dom_restriction(X1,X4)|~function(X1)|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1957]), ['final']).
% 282.28/198.91 cnf(i_0_4113, plain, (esk318_1(X1)=esk316_1(X1)|esk326_3(X1,X2,X3)=unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3))|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_1958, c_0_882]), ['final']).
% 282.28/198.91 cnf(i_0_4114, plain, (esk317_1(X1)=esk316_1(X1)|esk326_3(X1,X2,X3)=unordered_pair(esk325_3(X1,X2,X3),esk325_3(X1,X2,X3))|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_1959, c_0_882]), ['final']).
% 282.28/198.91 cnf(i_0_4115, plain, (latt_element_smaller(X1,X2,X3)|empty_carrier(X1)|~below(X1,esk33_3(X1,X2,X3),X2)|~element(X2,the_carrier(X1))|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1960]), ['final']).
% 282.28/198.91 cnf(i_0_4116, plain, (latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|~below(X1,X2,esk31_3(X1,X2,X3))|~element(X2,the_carrier(X1))|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1961]), ['final']).
% 282.28/198.91 cnf(i_0_4117, plain, (in(esk348_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk347_2(X1,X2))|esk345_2(X1,X2)!=esk346_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4118, plain, (relstr_set_smaller(X1,X2,X3)|~related(X1,esk149_3(X1,X2,X3),X3)|~element(X3,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1962]), ['final']).
% 282.28/198.91 cnf(i_0_4119, plain, (relstr_element_smaller(X1,X3,X2)|~related(X1,X2,esk134_3(X1,X3,X2))|~element(X2,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1963]), ['final']).
% 282.28/198.91 cnf(i_0_4120, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|esk486_3(X4,X2,X5)=esk485_2(X4,X2)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|esk483_2(X4,X2)!=esk484_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4121, plain, (relation_dom_restr_as_relation_of(X2,X3,X1,X4)=relation_dom_restriction(X1,X4)|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1964]), ['final']).
% 282.28/198.91 cnf(i_0_4122, plain, (in(X3,the_carrier(X5))|empty_carrier(X2)|empty_carrier(X6)|~element(X1,the_carrier(X2))|X1!=X3|~related(X2,X4,X1)|X5!=netstr_restr_to_element(X6,X2,X4)|~strict_net_str(X5,X6)|~net_str(X5,X6)|~element(X4,the_carrier(X2))|~net_str(X2,X6)|~one_sorted_str(X6)), inference(split_conjunct,[status(thm)],[i_0_1535]), ['final']).
% 282.28/198.91 cnf(i_0_4123, plain, (in(X2,esk330_1(X1))|epred2_3(esk329_1(X1),esk328_1(X1),esk327_1(X1))|X2!=X4|X2!=X3|esk334_3(X1,X2,X3)!=empty_set|~ordinal(X3)|~ordinal(X1)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_1965, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4124, lemma, (relation(esk481_2(X1,X2))|element(esk480_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk476_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4125, lemma, (function(esk481_2(X1,X2))|element(esk480_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk476_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4126, lemma, (esk432_3(X1,X2,X3)=unordered_pair(esk431_3(X1,X2,X3),esk431_3(X1,X2,X3))|~in(X3,esk430_2(X1,X2))), inference(rw,[status(thm)],[i_0_1966, c_0_882]), ['final']).
% 282.28/198.91 cnf(i_0_4127, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|esk486_3(X4,X2,X5)=esk485_2(X4,X2)|in(esk482_2(X4,X2),X2)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4128, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk467_2(X1,X2),X1)|in(esk464_2(X1,X2),esk466_2(X1,X2))|empty(X1)|~in(X3,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_4129, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk467_2(X1,X2),X1)|in(esk463_2(X1,X2),esk465_2(X1,X2))|empty(X1)|~in(X3,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_4130, plain, (in(X2,esk330_1(X1))|element(esk334_3(X1,X2,X3),powerset(powerset(X3)))|X2!=X4|X2!=X3|esk329_1(X1)!=esk328_1(X1)|~ordinal(X3)|~ordinal(X1)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_1967, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4131, plain, (X2=net_str_of(X1,the_carrier(X2),the_InternalRel(X2),the_mapping(X1,X2))|~one_sorted_str(X1)|~net_str(X2,X1)|~strict_net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1968]), ['final']).
% 282.28/198.91 cnf(i_0_4132, lemma, (related(X1,X2,X4)|~transitive_relstr(X1)|~rel_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X1))|~related(X1,X2,X3)|~related(X1,X3,X4)), inference(split_conjunct,[status(thm)],[i_0_1969]), ['final']).
% 282.28/198.91 cnf(i_0_4133, plain, (related(X1,X2,X4)|~transitive_relstr(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X1))|~related(X1,X2,X3)|~related(X1,X3,X4)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1970]), ['final']).
% 282.28/198.91 cnf(i_0_4134, plain, (subset(esk46_1(X1),the_topology(X1))|topological_space(X1)|~in(subset_intersection2(the_carrier(X1),esk47_1(X1),esk48_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.91 cnf(i_0_4135, lemma, (empty(X2)|in(X1,X2)|esk249_2(X2,X4)!=esk248_2(X2,X4)|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk252_2(X2,X4))), inference(rw,[status(thm)],[i_0_1971, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4136, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk479_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk478_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4137, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk479_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk477_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4138, plain, (in(esk348_3(X1,X2,X3),powerset(the_carrier(X1)))|esk344_2(X1,X2)=esk346_2(X1,X2)|~in(X3,esk347_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4139, plain, (in(esk348_3(X1,X2,X3),powerset(the_carrier(X1)))|esk344_2(X1,X2)=esk345_2(X1,X2)|~in(X3,esk347_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4140, lemma, (empty(X2)|in(X1,X2)|in(esk247_2(X2,X4),X2)|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk252_2(X2,X4))), inference(rw,[status(thm)],[i_0_1972, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4141, lemma, (empty(X2)|in(X1,X2)|in(esk247_2(X2,X4),X2)|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk252_2(X2,X4))), inference(rw,[status(thm)],[i_0_1973, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4142, plain, (is_eventually_in(X4,X5,X3)|empty_carrier(X5)|empty_carrier(X4)|~in(X1,X2)|~point_neighbourhood(X3,X4,X1)|~element(X1,the_carrier(X4))|X2!=lim_points_of_net(X4,X5)|~element(X2,powerset(the_carrier(X4)))|~transitive_relstr(X5)|~directed_relstr(X5)|~net_str(X5,X4)|~topological_space(X4)|~top_str(X4)), inference(split_conjunct,[status(thm)],[i_0_1662]), ['final']).
% 282.28/198.91 cnf(i_0_4143, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|element(esk480_3(X1,X2,X3),powerset(the_carrier(X1)))|esk477_2(X1,X2)!=esk478_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4144, plain, (unordered_pair(unordered_pair(esk321_1(X1),esk322_1(X1)),unordered_pair(esk321_1(X1),esk321_1(X1)))=esk318_1(X1)|in(esk324_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_1974, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4145, plain, (unordered_pair(unordered_pair(esk319_1(X1),esk320_1(X1)),unordered_pair(esk319_1(X1),esk319_1(X1)))=esk317_1(X1)|in(esk324_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_1975, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4146, lemma, (in(X3,relation_inverse_image(X2,X4))|~relation(X2)|~in(X1,X4)|~in(X1,relation_rng(X2))|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_1976, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4147, lemma, (in(X3,relation_image(X2,X4))|~relation(X2)|~in(X1,X4)|~in(X1,relation_dom(X2))|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2)), inference(rw,[status(thm)],[i_0_1977, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4148, plain, (onto(X1,X2,X2)|~function(X1)|~v1_partfun1(X1,X2,X2)|~reflexive(X1)|~quasi_total(X1,X2,X2)|~relation_of2(X1,X2,X2)), inference(split_conjunct,[status(thm)],[i_0_1978]), ['final']).
% 282.28/198.91 cnf(i_0_4149, plain, (bijective(X1,X2,X2)|~function(X1)|~v1_partfun1(X1,X2,X2)|~reflexive(X1)|~quasi_total(X1,X2,X2)|~relation_of2(X1,X2,X2)), inference(split_conjunct,[status(thm)],[i_0_1978]), ['final']).
% 282.28/198.91 cnf(i_0_4150, plain, (bijective(X1,X2,X3)|~function(X1)|~one_to_one(X1)|~quasi_total(X1,X2,X3)|~onto(X1,X2,X3)|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1979]), ['final']).
% 282.28/198.91 cnf(i_0_4151, lemma, (in(X1,cartesian_product2(X2,X3))|~in(X1,esk447_3(X4,X2,X3))|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_889]), ['final']).
% 282.28/198.91 cnf(i_0_4152, plain, (esk348_3(X1,X2,X3)=X3|in(set_difference(cast_as_carrier_subset(X1),esk346_2(X1,X2)),X2)|~in(X3,esk347_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4153, plain, (esk348_3(X1,X2,X3)=X3|in(set_difference(cast_as_carrier_subset(X1),esk345_2(X1,X2)),X2)|~in(X3,esk347_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4154, plain, (element(esk343_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk340_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4155, plain, (in(esk342_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk340_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4156, plain, (element(esk343_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk339_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4157, plain, (in(esk342_3(X1,X2,X3),powerset(the_carrier(X1)))|element(esk339_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4158, plain, (in(esk107_3(X1,X2,X3),X3)|X3=set_difference(X1,X2)|~in(esk107_3(X1,X2,X3),X2)), inference(split_conjunct,[status(thm)],[i_0_1867]), ['final']).
% 282.28/198.91 cnf(i_0_4159, plain, (in(X3,esk347_2(X2,X4))|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~in(set_difference(cast_as_carrier_subset(X2),X3),X4)|esk345_2(X2,X4)!=esk346_2(X2,X4)|~topological_space(X2)|~top_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4160, plain, (esk9_3(X1,X2,X3)=apply(X1,esk10_3(X1,X2,X3))|in(esk9_3(X1,X2,X3),X3)|X3=relation_image(X1,X2)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1841]), ['final']).
% 282.28/198.91 cnf(i_0_4161, plain, (in(esk379_3(X1,X2,X3),X2)|~in(X3,esk378_2(X1,X2))|esk376_2(X1,X2)!=esk377_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_4162, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk480_3(X1,X2,X3)=esk479_2(X1,X2)|esk478_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4163, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk480_3(X1,X2,X3)=esk479_2(X1,X2)|esk477_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4164, plain, (relstr_element_smaller(X1,X2,esk146_3(X1,X2,X3))|X3=esk145_2(X1,X2)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~ex_inf_of_relstr_set(X1,X2)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_4165, plain, (relstr_set_smaller(X1,X2,esk129_3(X1,X2,X3))|X3=esk128_2(X1,X2)|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~ex_sup_of_relstr_set(X1,X2)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_4166, plain, (relstr_set_smaller(X1,X2,esk151_3(X1,X2,X3))|X3=join_on_relstr(X1,X2)|~relstr_set_smaller(X1,X2,X3)|~ex_sup_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1914]), ['final']).
% 282.28/198.91 cnf(i_0_4167, plain, (relstr_element_smaller(X1,X2,esk3_3(X1,X2,X3))|X3=meet_on_relstr(X1,X2)|~relstr_element_smaller(X1,X2,X3)|~ex_inf_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1913]), ['final']).
% 282.28/198.91 cnf(i_0_4168, plain, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|in(set_difference(cast_as_carrier_subset(X1),esk346_2(X1,X3)),X3)|~in(X2,esk347_2(X1,X3))|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4169, plain, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|in(set_difference(cast_as_carrier_subset(X1),esk345_2(X1,X3)),X3)|~in(X2,esk347_2(X1,X3))|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4170, lemma, (in(esk274_2(X1,X2),X2)|X2=empty_set|X3=esk271_2(X5,X4)|X4=empty_set|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|~in(X3,X4)|~subset(esk271_2(X5,X4),X3)|~element(X4,powerset(powerset(X5)))|~in(X5,omega)|~in(X5,esk270_0)|~ordinal(X5)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.91 cnf(i_0_4171, lemma, (X1=esk274_2(X3,X2)|X2=empty_set|in(esk271_2(X4,X5),X5)|X5=empty_set|~in(X1,X2)|~subset(esk274_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|~element(X5,powerset(powerset(X4)))|~in(X4,omega)|~in(X4,esk270_0)|~ordinal(X4)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.91 cnf(i_0_4172, plain, (meet_absorbing(X1)|empty_carrier(X1)|join(X1,meet(X1,esk135_1(X1),esk136_1(X1)),esk136_1(X1))!=esk136_1(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1981]), ['final']).
% 282.28/198.91 cnf(i_0_4173, lemma, (in(esk492_2(X1,X2),X2)|X2=empty_set|X3=esk489_2(X5,X4)|X4=empty_set|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|~in(X3,X4)|~subset(esk489_2(X5,X4),X3)|~element(X4,powerset(powerset(X5)))|~in(X5,omega)|~in(X5,esk488_0)|~ordinal(X5)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.91 cnf(i_0_4174, lemma, (X1=esk492_2(X3,X2)|X2=empty_set|in(esk489_2(X4,X5),X5)|X5=empty_set|~in(X1,X2)|~subset(esk492_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|~element(X5,powerset(powerset(X4)))|~in(X4,omega)|~in(X4,esk488_0)|~ordinal(X4)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.91 cnf(i_0_4175, lemma, (in(X2,esk433_1(X1))|element(esk436_3(X1,X2,X3),powerset(powerset(X3)))|X2!=X3|~ordinal(X3)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_1982, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4176, plain, (epred1_0|subset(X1,esk545_1(X1))|element(esk548_0,powerset(powerset(set_union2(esk546_0,unordered_pair(esk546_0,esk546_0)))))|~in(X1,esk544_0)), inference(rw,[status(thm)],[i_0_1983, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4177, plain, (in(esk379_3(X1,X2,X3),X2)|in(esk375_2(X1,X2),X2)|~in(X3,esk378_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_4178, plain, (in(esk379_3(X1,X2,X3),X2)|in(esk375_2(X1,X2),X2)|~in(X3,esk378_2(X1,X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 282.28/198.91 cnf(i_0_4179, lemma, (in(X1,topstr_closure(X2,X3))|~in(X1,esk530_3(X2,X3,X1))|~in(X1,the_carrier(X2))|~element(X3,powerset(the_carrier(X2)))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1984]), ['final']).
% 282.28/198.91 cnf(i_0_4180, plain, (in(subset_intersection2(the_carrier(X2),X1,X3),the_topology(X2))|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~in(X1,the_topology(X2))|~in(X3,the_topology(X2))|~topological_space(X2)|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.91 cnf(i_0_4181, lemma, (latt_set_smaller(X1,esk525_3(X1,X2,X3),X3)|X2=meet_of_latt_set(X1,X3)|empty_carrier(X1)|~latt_set_smaller(X1,X2,X3)|~element(X2,the_carrier(X1))|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1916]), ['final']).
% 282.28/198.91 cnf(i_0_4182, plain, (X3=join_of_latt_set(X1,X2)|empty_carrier(X1)|latt_element_smaller(X1,esk68_3(X1,X2,X3),X2)|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_element_smaller(X1,X3,X2)|~element(X3,the_carrier(X1))), inference(cn,[status(thm)],[i_0_1985]), ['final']).
% 282.28/198.91 cnf(i_0_4183, lemma, (esk251_2(X2,X4)=esk247_2(X2,X4)|empty(X2)|in(X1,X2)|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk252_2(X2,X4))), inference(rw,[status(thm)],[i_0_1986, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4184, lemma, (esk250_2(X2,X4)=esk247_2(X2,X4)|empty(X2)|in(X1,X2)|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk252_2(X2,X4))), inference(rw,[status(thm)],[i_0_1987, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4185, plain, (epred1_0|in(esk545_1(X1),esk544_0)|element(esk548_0,powerset(powerset(set_union2(esk546_0,unordered_pair(esk546_0,esk546_0)))))|~in(X1,esk544_0)), inference(rw,[status(thm)],[i_0_1988, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4186, lemma, (in(X1,powerset(X2))|empty_carrier(X3)|~in(X1,esk427_3(X3,X4,X2))|~transitive_relstr(X3)|~rel_str(X3)|~element(X4,powerset(the_carrier(X3)))|~finite(X2)|~element(X2,powerset(X4))), inference(split_conjunct,[status(thm)],[i_0_1593]), ['final']).
% 282.28/198.91 cnf(i_0_4187, plain, (onto(X1,X2,X3)|~function(X1)|~quasi_total(X1,X2,X3)|~bijective(X1,X2,X3)|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1989]), ['final']).
% 282.28/198.91 cnf(i_0_4188, plain, (in(X3,esk341_2(X2,X5))|element(esk340_2(X2,X5),powerset(the_carrier(X2)))|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~element(X4,powerset(the_carrier(X2)))|X4!=X3|~closed_subset(X4,X2)|~subset(X5,X3)|~topological_space(X2)|~top_str(X2)|~element(X5,powerset(the_carrier(X2)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4189, plain, (in(X3,esk341_2(X2,X5))|element(esk339_2(X2,X5),powerset(the_carrier(X2)))|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~element(X4,powerset(the_carrier(X2)))|X4!=X3|~closed_subset(X4,X2)|~subset(X5,X3)|~topological_space(X2)|~top_str(X2)|~element(X5,powerset(the_carrier(X2)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4190, lemma, (element(esk495_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk494_2(X1,X2))|~element(X3,powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1990]), ['final']).
% 282.28/198.91 cnf(i_0_4191, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|in(esk485_2(X4,X2),X2)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|esk483_2(X4,X2)!=esk484_2(X4,X2)|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4192, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk467_2(X1,X2),X1)|empty(X1)|~in(X3,X1)|esk463_2(X1,X2)!=esk464_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_4193, lemma, (apply(esk487_2(X4,X2),X1)=subset_complement(the_carrier(X4),X3)|in(esk485_2(X4,X2),X2)|in(esk482_2(X4,X2),X2)|~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|X3!=X1|~one_sorted_str(X4)|~element(X2,powerset(powerset(the_carrier(X4))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4194, lemma, (below_refl(X1,X2,X3)|empty_carrier(X1)|~related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1991]), ['final']).
% 282.28/198.91 cnf(i_0_4195, lemma, (relation(esk481_2(X1,X2))|in(esk479_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk478_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4196, lemma, (function(esk481_2(X1,X2))|in(esk479_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk478_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4197, lemma, (relation(esk481_2(X1,X2))|in(esk479_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk477_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4198, lemma, (function(esk481_2(X1,X2))|in(esk479_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk477_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4199, plain, (in(X3,a_3_0_waybel_9(X5,X2,X4))|empty_carrier(X5)|empty_carrier(X2)|~element(X1,the_carrier(X2))|X3!=X1|~related(X2,X4,X1)|~one_sorted_str(X5)|~net_str(X2,X5)|~element(X4,the_carrier(X2))), inference(split_conjunct,[status(thm)],[i_0_1730]), ['final']).
% 282.28/198.91 cnf(i_0_4200, lemma, (empty_carrier(X2)|empty_carrier(X1)|~empty_carrier(preimage_subnetstr(X1,X2,X3))|~is_often_in(X1,X2,X3)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1992]), ['final']).
% 282.28/198.91 cnf(i_0_4201, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk467_2(X1,X2),X1)|in(esk462_2(X1,X2),X1)|empty(X1)|~in(X3,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_4202, plain, (in(esk420_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|esk416_2(X1,X2)!=esk415_2(X1,X2)|~ordinal(X2)|~in(X3,esk419_2(X1,X2))), inference(rw,[status(thm)],[i_0_1993, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4203, plain, (element(esk343_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk341_2(X1,X2))|esk337_2(X1,X2)!=esk338_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4204, plain, (in(esk342_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk341_2(X1,X2))|esk337_2(X1,X2)!=esk338_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4205, plain, (X2=bottom_of_semilattstr(X1)|empty_carrier(X1)|meet(X1,X2,esk32_2(X1,X2))!=X2|meet(X1,esk32_2(X1,X2),X2)!=X2|~element(X2,the_carrier(X1))|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1994]), ['final']).
% 282.28/198.91 cnf(i_0_4206, lemma, (relation_dom(esk487_2(X1,X2))=X2|element(esk486_3(X1,X2,X3),powerset(the_carrier(X1)))|esk483_2(X1,X2)!=esk484_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4207, plain, (subset(X1,X2)|X3!=the_InternalRel(incl_POSet(X4))|~relation(X3)|~in(X2,X4)|~in(X1,X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1995, c_0_1670]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4208, lemma, (relation(esk487_2(X1,X2))|element(esk486_3(X1,X2,X3),powerset(the_carrier(X1)))|esk483_2(X1,X2)!=esk484_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4209, lemma, (relation(esk481_2(X1,X2))|element(esk480_3(X1,X2,X3),powerset(the_carrier(X1)))|esk477_2(X1,X2)!=esk478_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4210, lemma, (function(esk487_2(X1,X2))|element(esk486_3(X1,X2,X3),powerset(the_carrier(X1)))|esk483_2(X1,X2)!=esk484_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4211, lemma, (function(esk481_2(X1,X2))|element(esk480_3(X1,X2,X3),powerset(the_carrier(X1)))|esk477_2(X1,X2)!=esk478_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4212, lemma, (empty_carrier(X1)|apply_as_element(the_carrier(X1),the_carrier(X1),identity_on_carrier(X1),X2)=X2|~one_sorted_str(X1)|~element(X2,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_1996]), ['final']).
% 282.28/198.91 cnf(i_0_4213, plain, (epred1_0|element(esk548_0,powerset(powerset(set_union2(esk546_0,unordered_pair(esk546_0,esk546_0)))))|esk545_1(X1)!=X1|~in(X1,esk544_0)), inference(rw,[status(thm)],[i_0_1997, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4214, plain, (in(X3,esk347_2(X2,X4))|esk344_2(X2,X4)=esk346_2(X2,X4)|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~in(set_difference(cast_as_carrier_subset(X2),X3),X4)|~topological_space(X2)|~top_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4215, plain, (in(X3,esk347_2(X2,X4))|esk344_2(X2,X4)=esk345_2(X2,X4)|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~in(set_difference(cast_as_carrier_subset(X2),X3),X4)|~topological_space(X2)|~top_str(X2)|~element(X4,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4216, plain, (in(esk418_2(X1,X2),X1)|in(esk420_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk419_2(X1,X2))), inference(rw,[status(thm)],[i_0_1998, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4217, plain, (in(esk417_2(X1,X2),X1)|in(esk420_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk419_2(X1,X2))), inference(rw,[status(thm)],[i_0_1999, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4218, lemma, (X1=join_on_relstr(X2,X3)|relstr_set_smaller(X2,X3,esk521_3(X2,X1,X3))|~relstr_set_smaller(X2,X3,X1)|~element(X1,the_carrier(X2))|~antisymmetric_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1922]), ['final']).
% 282.28/198.91 cnf(i_0_4219, plain, (closed_subset(esk343_3(X1,X2,X3),X1)|element(esk340_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4220, plain, (closed_subset(esk343_3(X1,X2,X3),X1)|element(esk339_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4221, plain, (element(esk343_3(X1,X2,X3),powerset(the_carrier(X1)))|closed_subset(esk340_2(X1,X2),X1)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4222, plain, (in(esk342_3(X1,X2,X3),powerset(the_carrier(X1)))|closed_subset(esk340_2(X1,X2),X1)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4223, plain, (element(esk343_3(X1,X2,X3),powerset(the_carrier(X1)))|closed_subset(esk339_2(X1,X2),X1)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4224, plain, (in(esk342_3(X1,X2,X3),powerset(the_carrier(X1)))|closed_subset(esk339_2(X1,X2),X1)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4225, plain, (element(esk343_3(X1,X2,X3),powerset(the_carrier(X1)))|subset(X2,esk338_2(X1,X2))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4226, plain, (in(esk342_3(X1,X2,X3),powerset(the_carrier(X1)))|subset(X2,esk338_2(X1,X2))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4227, plain, (element(esk343_3(X1,X2,X3),powerset(the_carrier(X1)))|subset(X2,esk337_2(X1,X2))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4228, plain, (in(esk342_3(X1,X2,X3),powerset(the_carrier(X1)))|subset(X2,esk337_2(X1,X2))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4229, lemma, (subset(X2,X3)|~related_reflexive(incl_POSet(powerset(X1)),X2,X3)|~element(X3,the_carrier(incl_POSet(powerset(X1))))|~element(X2,the_carrier(incl_POSet(powerset(X1))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2000, c_0_2001]), c_0_2001]), c_0_2001]), ['final']).
% 282.28/198.91 cnf(i_0_4230, plain, (~in(X1,X2)|~element(X3,powerset(the_carrier(X4)))|~open_subset(X3,X4)|~in(X1,X3)|~disjoint(X5,X3)|~in(X1,the_carrier(X4))|X2!=topstr_closure(X4,X5)|~element(X2,powerset(the_carrier(X4)))|~element(X5,powerset(the_carrier(X4)))|~top_str(X4)), inference(split_conjunct,[status(thm)],[i_0_1783]), ['final']).
% 282.28/198.91 cnf(i_0_4231, lemma, (ex_sup_of_relstr_set(X1,X2)|relstr_set_smaller(X1,X2,esk521_3(X1,X3,X2))|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1922]), ['final']).
% 282.28/198.91 cnf(i_0_4232, lemma, (relstr_set_smaller(X1,X2,esk503_3(X1,X2,X3))|ex_sup_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1924]), ['final']).
% 282.28/198.91 cnf(i_0_4233, lemma, (relstr_element_smaller(X1,X2,esk506_3(X1,X2,X3))|ex_inf_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1923]), ['final']).
% 282.28/198.91 cnf(i_0_4234, plain, (in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),the_InternalRel(X1))|~rel_str(X1)|~related(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))), inference(rw,[status(thm)],[i_0_2002, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4235, lemma, (relation_dom(esk487_2(X1,X2))=X2|element(esk486_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk482_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4236, plain, (disjoint(fiber(X1,esk95_3(X1,X2,X3)),X3)|X3=empty_set|~subset(X3,X2)|~is_well_founded_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2003]), ['final']).
% 282.28/198.91 cnf(i_0_4237, lemma, (in(X1,X2)|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),relation_composition(identity_relation(X2),X4))), inference(rw,[status(thm)],[i_0_2004, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4238, lemma, (in(X1,relation_inverse_image(X3,X4))|X5=empty_set|~in(X1,X2)|~in(apply(X3,X1),X4)|~function(X3)|~quasi_total(X3,X2,X5)|~relation_of2_as_subset(X3,X2,X5)), inference(split_conjunct,[status(thm)],[i_0_2005]), ['final']).
% 282.28/198.91 cnf(i_0_4239, lemma, (related(X1,X3,X4)|~rel_str(X1)|~subrelstr(X2,X1)|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X1))|~element(X5,the_carrier(X2))|~element(X6,the_carrier(X2))|X5!=X3|X6!=X4|~related(X2,X5,X6)), inference(split_conjunct,[status(thm)],[i_0_2006]), ['final']).
% 282.28/198.91 cnf(i_0_4240, lemma, (relation(esk487_2(X1,X2))|element(esk486_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk482_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4241, lemma, (function(esk487_2(X1,X2))|element(esk486_3(X1,X2,X3),powerset(the_carrier(X1)))|in(esk482_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4242, plain, (epred1_0|element(esk544_0,powerset(powerset(empty_set)))|element(esk548_0,powerset(powerset(set_union2(esk546_0,unordered_pair(esk546_0,esk546_0)))))), inference(rw,[status(thm)],[i_0_2007, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4243, lemma, (relation_dom(esk487_2(X1,X2))=X2|esk486_3(X1,X2,X3)=esk485_2(X1,X2)|esk484_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4244, lemma, (relation_dom(esk487_2(X1,X2))=X2|esk486_3(X1,X2,X3)=esk485_2(X1,X2)|esk483_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4245, plain, (in(X3,esk341_2(X2,X5))|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~element(X4,powerset(the_carrier(X2)))|X4!=X3|~closed_subset(X4,X2)|~subset(X5,X3)|esk337_2(X2,X5)!=esk338_2(X2,X5)|~topological_space(X2)|~top_str(X2)|~element(X5,powerset(the_carrier(X2)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4246, plain, (is_often_in(X1,X2,X4)|empty_carrier(X2)|empty_carrier(X1)|~is_a_cluster_point_of_netstr(X1,X2,X3)|~point_neighbourhood(X4,X1,X3)|~element(X3,the_carrier(X1))|~net_str(X2,X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1936]), ['final']).
% 282.28/198.91 cnf(i_0_4247, lemma, (relation(esk487_2(X1,X2))|esk486_3(X1,X2,X3)=esk485_2(X1,X2)|esk484_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4248, lemma, (function(esk487_2(X1,X2))|esk486_3(X1,X2,X3)=esk485_2(X1,X2)|esk484_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4249, lemma, (relation(esk487_2(X1,X2))|esk486_3(X1,X2,X3)=esk485_2(X1,X2)|esk483_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4250, lemma, (function(esk487_2(X1,X2))|esk486_3(X1,X2,X3)=esk485_2(X1,X2)|esk483_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4251, lemma, (relation(esk481_2(X1,X2))|esk480_3(X1,X2,X3)=esk479_2(X1,X2)|esk478_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4252, lemma, (function(esk481_2(X1,X2))|esk480_3(X1,X2,X3)=esk479_2(X1,X2)|esk478_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4253, lemma, (relation(esk481_2(X1,X2))|esk480_3(X1,X2,X3)=esk479_2(X1,X2)|esk477_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4254, lemma, (function(esk481_2(X1,X2))|esk480_3(X1,X2,X3)=esk479_2(X1,X2)|esk477_2(X1,X2)=subset_complement(the_carrier(X1),X4)|~element(X4,powerset(the_carrier(X1)))|X4!=esk476_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4255, plain, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|meet(X1,X2,esk21_2(X1,X2))!=X2|meet(X1,esk21_2(X1,X2),X2)!=X2|~element(X2,the_carrier(X1))|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2008]), ['final']).
% 282.28/198.91 cnf(i_0_4256, lemma, (point_neighbourhood(esk540_3(X1,X2,X3),X1,X3)|in(X3,topstr_closure(X1,X2))|empty_carrier(X1)|~element(X3,the_carrier(X1))|~element(X2,powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2009]), ['final']).
% 282.28/198.91 cnf(i_0_4257, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk479_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk476_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4258, plain, (X2=unordered_pair(unordered_pair(esk49_2(X1,X2),esk50_2(X1,X2)),unordered_pair(esk49_2(X1,X2),esk49_2(X1,X2)))|~relation(X1)|~in(X2,X1)), inference(rw,[status(thm)],[i_0_2010, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4259, plain, (unordered_pair(unordered_pair(esk321_1(X1),esk322_1(X1)),unordered_pair(esk321_1(X1),esk321_1(X1)))=esk318_1(X1)|in(esk325_3(X1,X2,X3),X1)|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_2011, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4260, plain, (unordered_pair(unordered_pair(esk319_1(X1),esk320_1(X1)),unordered_pair(esk319_1(X1),esk319_1(X1)))=esk317_1(X1)|in(esk325_3(X1,X2,X3),X1)|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_2012, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4261, plain, (in(X3,esk341_2(X2,X5))|closed_subset(esk340_2(X2,X5),X2)|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~element(X4,powerset(the_carrier(X2)))|X4!=X3|~closed_subset(X4,X2)|~subset(X5,X3)|~topological_space(X2)|~top_str(X2)|~element(X5,powerset(the_carrier(X2)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4262, plain, (in(X3,esk341_2(X2,X5))|closed_subset(esk339_2(X2,X5),X2)|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~element(X4,powerset(the_carrier(X2)))|X4!=X3|~closed_subset(X4,X2)|~subset(X5,X3)|~topological_space(X2)|~top_str(X2)|~element(X5,powerset(the_carrier(X2)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4263, plain, (in(X3,esk341_2(X2,X5))|subset(X5,esk338_2(X2,X5))|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~element(X4,powerset(the_carrier(X2)))|X4!=X3|~closed_subset(X4,X2)|~subset(X5,X3)|~topological_space(X2)|~top_str(X2)|~element(X5,powerset(the_carrier(X2)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4264, plain, (in(X3,esk341_2(X2,X5))|subset(X5,esk337_2(X2,X5))|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~element(X4,powerset(the_carrier(X2)))|X4!=X3|~closed_subset(X4,X2)|~subset(X5,X3)|~topological_space(X2)|~top_str(X2)|~element(X5,powerset(the_carrier(X2)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4265, lemma, (closed_subset(esk495_3(X1,X2,X3),X1)|~in(X3,esk494_2(X1,X2))|~element(X3,powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1990]), ['final']).
% 282.28/198.91 cnf(i_0_4266, lemma, (in(X1,esk455_3(X4,X3,X2))|~in(X1,powerset(relation_dom(X2)))|~in(relation_image(X2,X1),X3)|~element(X3,powerset(powerset(X4)))|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_2013]), ['final']).
% 282.28/198.91 cnf(i_0_4267, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk467_2(X1,X2),X1)|esk462_2(X1,X2)=esk466_2(X1,X2)|empty(X1)|~in(X3,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_4268, lemma, (in(apply(esk469_2(X1,X2),X3),esk470_3(X1,X2,X3))|in(esk467_2(X1,X2),X1)|esk462_2(X1,X2)=esk465_2(X1,X2)|empty(X1)|~in(X3,X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.91 cnf(i_0_4269, plain, (closed_subset(X2,X1)|~open_subset(subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2),X1)|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2014]), ['final']).
% 282.28/198.91 cnf(i_0_4270, lemma, (empty_carrier(X1)|empty_carrier(X2)|subnet(preimage_subnetstr(X1,X2,X3),X1,X2)|~one_sorted_str(X1)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~is_often_in(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2015]), ['final']).
% 282.28/198.91 cnf(i_0_4271, lemma, (in(X4,X1)|~in(X3,X1)|~subset(X4,X2)|~subset(X3,X4)|~upper_relstr_subset(X1,incl_POSet(powerset(X2)))|~element(X1,powerset(the_carrier(incl_POSet(powerset(X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2016, c_0_2001]), c_0_2001]), ['final']).
% 282.28/198.91 cnf(i_0_4272, plain, (ordinal(esk418_2(X1,X2))|in(esk420_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk419_2(X1,X2))), inference(rw,[status(thm)],[i_0_2017, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4273, plain, (ordinal(esk417_2(X1,X2))|in(esk420_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk419_2(X1,X2))), inference(rw,[status(thm)],[i_0_2018, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4274, lemma, (relstr_set_smaller(X1,X2,esk508_3(X1,X3,X2))|empty(X3)|empty_carrier(X1)|~finite(X2)|~element(X2,powerset(X3))|~directed_subset(X3,X1)|~element(X3,powerset(the_carrier(X1)))|~transitive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2019]), ['final']).
% 282.28/198.91 cnf(i_0_4275, lemma, (X3=empty_set|apply(relation_composition(X1,X4),X5)=apply(X4,apply(X1,X5))|~function(X1)|~quasi_total(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)|~relation(X4)|~function(X4)|~in(X5,X2)), inference(split_conjunct,[status(thm)],[i_0_2020]), ['final']).
% 282.28/198.91 cnf(i_0_4276, plain, (esk418_2(X1,X2)=esk416_2(X1,X2)|in(esk420_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk419_2(X1,X2))), inference(rw,[status(thm)],[i_0_2021, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4277, plain, (esk417_2(X1,X2)=esk415_2(X1,X2)|in(esk420_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk419_2(X1,X2))), inference(rw,[status(thm)],[i_0_2022, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4278, plain, (esk416_2(X1,X2)=esk414_2(X1,X2)|in(esk420_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk419_2(X1,X2))), inference(rw,[status(thm)],[i_0_2023, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4279, plain, (esk415_2(X1,X2)=esk414_2(X1,X2)|in(esk420_3(X1,X2,X3),set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X3,esk419_2(X1,X2))), inference(rw,[status(thm)],[i_0_2024, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4280, plain, (~empty_carrier(rel_str_of(unordered_pair(X1,X1),X2))|~relation_of2(X2,unordered_pair(X1,X1),unordered_pair(X1,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2025, c_0_882]), c_0_882]), c_0_882]), ['final']).
% 282.28/198.91 cnf(i_0_4281, plain, (element(esk343_3(X1,X2,X3),powerset(the_carrier(X1)))|esk340_2(X1,X2)=esk338_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4282, plain, (in(esk342_3(X1,X2,X3),powerset(the_carrier(X1)))|esk340_2(X1,X2)=esk338_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4283, plain, (element(esk343_3(X1,X2,X3),powerset(the_carrier(X1)))|esk339_2(X1,X2)=esk337_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4284, plain, (in(esk342_3(X1,X2,X3),powerset(the_carrier(X1)))|esk339_2(X1,X2)=esk337_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4285, plain, (element(esk343_3(X1,X2,X3),powerset(the_carrier(X1)))|esk336_2(X1,X2)=esk338_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4286, plain, (in(esk342_3(X1,X2,X3),powerset(the_carrier(X1)))|esk336_2(X1,X2)=esk338_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4287, plain, (element(esk343_3(X1,X2,X3),powerset(the_carrier(X1)))|esk336_2(X1,X2)=esk337_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4288, plain, (in(esk342_3(X1,X2,X3),powerset(the_carrier(X1)))|esk336_2(X1,X2)=esk337_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4289, lemma, (in(relation_image(X1,X2),X3)|~in(X2,esk455_3(X4,X3,X1))|~element(X3,powerset(powerset(X4)))|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2013]), ['final']).
% 282.28/198.91 cnf(i_0_4290, plain, (point_neighbourhood(esk150_3(X1,X2,X3),X1,X3)|is_a_cluster_point_of_netstr(X1,X2,X3)|empty_carrier(X2)|empty_carrier(X1)|~element(X3,the_carrier(X1))|~net_str(X2,X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1936]), ['final']).
% 282.28/198.91 cnf(i_0_4291, plain, (closed_subset(esk343_3(X1,X2,X3),X1)|~in(X3,esk341_2(X1,X2))|esk337_2(X1,X2)!=esk338_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4292, plain, (in(X1,X5)|X5!=relation_inverse_image(X3,X4)|~relation(X3)|~in(X2,X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[i_0_2026, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4293, plain, (in(X2,X5)|X5!=relation_image(X3,X4)|~relation(X3)|~in(X1,X4)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[i_0_2027, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4294, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk480_3(X1,X2,X3)=esk479_2(X1,X2)|in(esk476_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4295, plain, (epred1_0|in(empty_set,omega)|element(esk548_0,powerset(powerset(set_union2(esk546_0,unordered_pair(esk546_0,esk546_0)))))), inference(rw,[status(thm)],[i_0_2028, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4296, plain, (X3=unordered_pair(X1,X2)|esk75_3(X1,X2,X3)!=X1|~in(esk75_3(X1,X2,X3),X3)), inference(split_conjunct,[status(thm)],[i_0_2029]), ['final']).
% 282.28/198.91 cnf(i_0_4297, plain, (X3=unordered_pair(X1,X2)|esk75_3(X1,X2,X3)!=X2|~in(esk75_3(X1,X2,X3),X3)), inference(split_conjunct,[status(thm)],[i_0_2029]), ['final']).
% 282.28/198.91 cnf(i_0_4298, plain, (function(esk15_3(X1,X2,X3))|empty_carrier(X3)|empty_carrier(X2)|empty_carrier(X1)|~subnet(X3,X1,X2)|~transitive_relstr(X3)|~directed_relstr(X3)|~net_str(X3,X1)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1381]), ['final']).
% 282.28/198.91 cnf(i_0_4299, plain, (element(esk146_3(X1,X2,X3),the_carrier(X1))|X3=esk145_2(X1,X2)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~ex_inf_of_relstr_set(X1,X2)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.91 cnf(i_0_4300, plain, (element(esk129_3(X1,X2,X3),the_carrier(X1))|X3=esk128_2(X1,X2)|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~ex_sup_of_relstr_set(X1,X2)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.91 cnf(i_0_4301, plain, (element(esk151_3(X1,X2,X3),the_carrier(X1))|X3=join_on_relstr(X1,X2)|~relstr_set_smaller(X1,X2,X3)|~ex_sup_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1914]), ['final']).
% 282.28/198.91 cnf(i_0_4302, plain, (element(esk3_3(X1,X2,X3),the_carrier(X1))|X3=meet_on_relstr(X1,X2)|~relstr_element_smaller(X1,X2,X3)|~ex_inf_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1913]), ['final']).
% 282.28/198.91 cnf(i_0_4303, plain, (closed_subset(esk343_3(X1,X2,X3),X1)|closed_subset(esk340_2(X1,X2),X1)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4304, plain, (closed_subset(esk343_3(X1,X2,X3),X1)|closed_subset(esk339_2(X1,X2),X1)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4305, plain, (closed_subset(esk343_3(X1,X2,X3),X1)|subset(X2,esk338_2(X1,X2))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4306, plain, (closed_subset(esk343_3(X1,X2,X3),X1)|subset(X2,esk337_2(X1,X2))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4307, plain, (in(X3,esk341_2(X2,X5))|esk340_2(X2,X5)=esk338_2(X2,X5)|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~element(X4,powerset(the_carrier(X2)))|X4!=X3|~closed_subset(X4,X2)|~subset(X5,X3)|~topological_space(X2)|~top_str(X2)|~element(X5,powerset(the_carrier(X2)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4308, plain, (in(X3,esk341_2(X2,X5))|esk339_2(X2,X5)=esk337_2(X2,X5)|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~element(X4,powerset(the_carrier(X2)))|X4!=X3|~closed_subset(X4,X2)|~subset(X5,X3)|~topological_space(X2)|~top_str(X2)|~element(X5,powerset(the_carrier(X2)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4309, plain, (in(X3,esk341_2(X2,X5))|esk336_2(X2,X5)=esk338_2(X2,X5)|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~element(X4,powerset(the_carrier(X2)))|X4!=X3|~closed_subset(X4,X2)|~subset(X5,X3)|~topological_space(X2)|~top_str(X2)|~element(X5,powerset(the_carrier(X2)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4310, plain, (in(X3,esk341_2(X2,X5))|esk336_2(X2,X5)=esk337_2(X2,X5)|~in(X1,powerset(the_carrier(X2)))|X1!=X3|~element(X4,powerset(the_carrier(X2)))|X4!=X3|~closed_subset(X4,X2)|~subset(X5,X3)|~topological_space(X2)|~top_str(X2)|~element(X5,powerset(the_carrier(X2)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4311, plain, (esk322_1(X2)=unordered_pair(esk321_1(X2),esk321_1(X2))|in(X4,esk323_2(X2,X3))|X1!=X4|X6!=unordered_pair(X5,X5)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~in(X5,X2)|~in(X1,cartesian_product2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2030, c_0_882]), c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4312, plain, (esk320_1(X2)=unordered_pair(esk319_1(X2),esk319_1(X2))|in(X4,esk323_2(X2,X3))|X1!=X4|X6!=unordered_pair(X5,X5)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~in(X5,X2)|~in(X1,cartesian_product2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2031, c_0_882]), c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4313, lemma, (in(X1,powerset(relation_dom(X2)))|~in(X1,esk455_3(X3,X4,X2))|~element(X4,powerset(powerset(X3)))|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_2013]), ['final']).
% 282.28/198.91 cnf(i_0_4314, plain, (X2=apply(X3,X1)|~function(X3)|~relation(X3)|~in(X1,relation_dom(X3))|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[i_0_2032, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4315, lemma, (element(esk525_3(X1,X2,X3),the_carrier(X1))|X2=meet_of_latt_set(X1,X3)|empty_carrier(X1)|~latt_set_smaller(X1,X2,X3)|~element(X2,the_carrier(X1))|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1916]), ['final']).
% 282.28/198.91 cnf(i_0_4316, plain, (X3=join_of_latt_set(X1,X2)|empty_carrier(X1)|element(esk68_3(X1,X2,X3),the_carrier(X1))|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_element_smaller(X1,X3,X2)|~element(X3,the_carrier(X1))), inference(cn,[status(thm)],[i_0_2033]), ['final']).
% 282.28/198.91 cnf(i_0_4317, plain, (in(X2,esk330_1(X1))|X2!=X4|X2!=X3|esk329_1(X1)!=esk328_1(X1)|esk334_3(X1,X2,X3)!=empty_set|~ordinal(X3)|~ordinal(X1)|~in(X4,set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_2034, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4318, lemma, (in(apply(X1,X2),X3)|X4=empty_set|~in(X2,relation_inverse_image(X1,X3))|~function(X1)|~quasi_total(X1,X5,X4)|~relation_of2_as_subset(X1,X5,X4)), inference(split_conjunct,[status(thm)],[i_0_2005]), ['final']).
% 282.28/198.91 cnf(i_0_4319, lemma, (relation(esk481_2(X1,X2))|in(esk479_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk476_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4320, lemma, (function(esk481_2(X1,X2))|in(esk479_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|in(esk476_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4321, plain, (X3=set_difference(X1,set_difference(X1,X2))|in(esk97_3(X1,X2,X3),X3)|in(esk97_3(X1,X2,X3),X1)), inference(rw,[status(thm)],[i_0_2035, c_0_1814]), ['final']).
% 282.28/198.91 cnf(i_0_4322, plain, (X3=set_difference(X1,set_difference(X1,X2))|in(esk97_3(X1,X2,X3),X3)|in(esk97_3(X1,X2,X3),X2)), inference(rw,[status(thm)],[i_0_2036, c_0_1814]), ['final']).
% 282.28/198.91 cnf(i_0_4323, plain, (epred1_0|element(esk548_0,powerset(powerset(set_union2(esk546_0,unordered_pair(esk546_0,esk546_0)))))|esk544_0!=empty_set), inference(rw,[status(thm)],[i_0_2037, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4324, lemma, (related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))|empty_carrier(X1)|~below_refl(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1991]), ['final']).
% 282.28/198.91 cnf(i_0_4325, lemma, (empty_carrier(X1)|empty_carrier(X2)|is_eventually_in(X1,X3,X4)|~one_sorted_str(X1)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~subnet(X3,X1,X2)|X3!=preimage_subnetstr(X1,X2,X4)), inference(split_conjunct,[status(thm)],[i_0_2038]), ['final']).
% 282.28/198.91 cnf(i_0_4326, lemma, (X1=unordered_pair(X2,X2)|esk257_1(X3)=unordered_pair(esk255_1(X3),esk255_1(X3))|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk258_1(X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2039, c_0_882]), c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4327, lemma, (X1=unordered_pair(X2,X2)|esk256_1(X3)=unordered_pair(esk255_1(X3),esk255_1(X3))|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk258_1(X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2040, c_0_882]), c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4328, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4))), inference(rw,[status(thm)],[i_0_2041, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4329, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4))), inference(rw,[status(thm)],[i_0_2042, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4330, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2))), inference(rw,[status(thm)],[i_0_2043, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4331, lemma, (in(X1,X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2))), inference(rw,[status(thm)],[i_0_2044, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4332, lemma, (esk257_1(X2)=unordered_pair(esk255_1(X2),esk255_1(X2))|in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk258_1(X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2045, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4333, lemma, (esk256_1(X2)=unordered_pair(esk255_1(X2),esk255_1(X2))|in(X1,X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk258_1(X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2046, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4334, plain, (in(esk321_1(X2),X2)|in(X4,esk323_2(X2,X3))|X1!=X4|X6!=unordered_pair(X5,X5)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~in(X5,X2)|~in(X1,cartesian_product2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2047, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4335, plain, (in(esk319_1(X2),X2)|in(X4,esk323_2(X2,X3))|X1!=X4|X6!=unordered_pair(X5,X5)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~in(X5,X2)|~in(X1,cartesian_product2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2048, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4336, plain, (in(X1,X2)|X4!=relation_rng_restriction(X2,X5)|~relation(X5)|~relation(X4)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X4)), inference(rw,[status(thm)],[i_0_2049, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4337, plain, (in(X1,X2)|X4!=relation_dom_restriction(X5,X2)|~relation(X5)|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X4)), inference(rw,[status(thm)],[i_0_2050, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4338, lemma, (in(X1,esk440_2(X2,X3))|~in(X1,powerset(the_carrier(X2)))|~in(set_difference(cast_as_carrier_subset(X2),X1),X3)|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_2051]), ['final']).
% 282.28/198.91 cnf(i_0_4339, lemma, (in(X2,esk496_2(X1,X3))|~in(set_difference(cast_as_carrier_subset(X1),X2),X3)|~element(X2,powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_2052]), ['final']).
% 282.28/198.91 cnf(i_0_4340, plain, (closed_subset(esk343_3(X1,X2,X3),X1)|esk340_2(X1,X2)=esk338_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4341, plain, (closed_subset(esk343_3(X1,X2,X3),X1)|esk339_2(X1,X2)=esk337_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4342, plain, (closed_subset(esk343_3(X1,X2,X3),X1)|esk336_2(X1,X2)=esk338_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4343, plain, (closed_subset(esk343_3(X1,X2,X3),X1)|esk336_2(X1,X2)=esk337_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.91 cnf(i_0_4344, lemma, (relation_dom(esk487_2(X1,X2))=X2|in(esk485_2(X1,X2),X2)|esk484_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4345, lemma, (relation_dom(esk487_2(X1,X2))=X2|in(esk485_2(X1,X2),X2)|esk483_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4346, plain, (in(esk19_3(X1,X2,X3),relation_dom(X1))|in(esk19_3(X1,X2,X3),X3)|X3=relation_inverse_image(X1,X2)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1721]), ['final']).
% 282.28/198.91 cnf(i_0_4347, plain, (in(esk10_3(X1,X2,X3),relation_dom(X1))|in(esk9_3(X1,X2,X3),X3)|X3=relation_image(X1,X2)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1841]), ['final']).
% 282.28/198.91 cnf(i_0_4348, plain, (one_to_one(X1)|~function(X1)|~v1_partfun1(X1,X2,X2)|~reflexive(X1)|~quasi_total(X1,X2,X2)|~relation_of2(X1,X2,X2)), inference(split_conjunct,[status(thm)],[i_0_1978]), ['final']).
% 282.28/198.91 cnf(i_0_4349, lemma, (relation(esk487_2(X1,X2))|in(esk485_2(X1,X2),X2)|esk484_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4350, lemma, (function(esk487_2(X1,X2))|in(esk485_2(X1,X2),X2)|esk484_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4351, lemma, (relation(esk487_2(X1,X2))|in(esk485_2(X1,X2),X2)|esk483_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4352, lemma, (function(esk487_2(X1,X2))|in(esk485_2(X1,X2),X2)|esk483_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk482_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.91 cnf(i_0_4353, lemma, (related_reflexive(incl_POSet(powerset(X3)),X1,X2)|~subset(X1,X2)|~element(X2,the_carrier(incl_POSet(powerset(X3))))|~element(X1,the_carrier(incl_POSet(powerset(X3))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2053, c_0_2001]), c_0_2001]), c_0_2001]), ['final']).
% 282.28/198.91 cnf(i_0_4354, lemma, (X1=join_on_relstr(X2,X3)|element(esk521_3(X2,X1,X3),the_carrier(X2))|~relstr_set_smaller(X2,X3,X1)|~element(X1,the_carrier(X2))|~antisymmetric_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1922]), ['final']).
% 282.28/198.91 cnf(i_0_4355, lemma, (empty_carrier(X2)|~in(X1,topstr_closure(X2,X3))|~point_neighbourhood(X4,X2,X1)|~disjoint(X4,X3)|~element(X1,the_carrier(X2))|~element(X3,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2009]), ['final']).
% 282.28/198.91 cnf(i_0_4356, lemma, (ex_sup_of_relstr_set(X1,X2)|element(esk521_3(X1,X3,X2),the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1922]), ['final']).
% 282.28/198.91 cnf(i_0_4357, lemma, (element(esk503_3(X1,X2,X3),the_carrier(X1))|ex_sup_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~relstr_set_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1924]), ['final']).
% 282.28/198.91 cnf(i_0_4358, lemma, (element(esk506_3(X1,X2,X3),the_carrier(X1))|ex_inf_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~relstr_element_smaller(X1,X2,X3)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1923]), ['final']).
% 282.28/198.91 cnf(i_0_4359, lemma, (relation(esk481_2(X1,X2))|esk480_3(X1,X2,X3)=esk479_2(X1,X2)|in(esk476_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4360, lemma, (function(esk481_2(X1,X2))|esk480_3(X1,X2,X3)=esk479_2(X1,X2)|in(esk476_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4361, plain, (X1=X2|in(X1,X4)|X4!=fiber(X3,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[i_0_2054, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4362, plain, (in(X3,esk419_2(X5,X2))|X3!=X4|X1!=X3|esk416_2(X5,X2)!=esk415_2(X5,X2)|~ordinal(X4)|~ordinal(X2)|~in(X4,X5)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))), inference(rw,[status(thm)],[i_0_2055, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4363, plain, (in(X1,omega)|in(X2,esk330_1(X4))|epred2_3(esk329_1(X4),esk328_1(X4),esk327_1(X4))|X2!=X3|X1!=X2|~ordinal(X4)|~ordinal(X1)|~in(X3,set_union2(X4,unordered_pair(X4,X4)))), inference(rw,[status(thm)],[i_0_2056, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4364, plain, (in(X4,esk323_2(X2,X3))|X1!=X4|X6!=unordered_pair(X5,X5)|esk318_1(X2)!=esk317_1(X2)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~in(X5,X2)|~in(X1,cartesian_product2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2057, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4365, plain, (in(esk10_3(X1,X2,X3),X2)|in(esk9_3(X1,X2,X3),X3)|X3=relation_image(X1,X2)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1841]), ['final']).
% 282.28/198.91 cnf(i_0_4366, lemma, (in(set_difference(cast_as_carrier_subset(X2),X1),X3)|~in(X1,esk496_2(X2,X3))|~element(X1,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_2052]), ['final']).
% 282.28/198.91 cnf(i_0_4367, lemma, (X1=unordered_pair(X2,X2)|in(esk255_1(X3),X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk258_1(X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2058, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4368, lemma, (X1=unordered_pair(X2,X2)|in(esk255_1(X3),X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk258_1(X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2059, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4369, lemma, (in(X1,X2)|in(esk255_1(X2),X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk258_1(X2))), inference(rw,[status(thm)],[i_0_2060, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4370, lemma, (in(X1,X2)|in(esk255_1(X2),X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk258_1(X2))), inference(rw,[status(thm)],[i_0_2061, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4371, lemma, (element(esk530_3(X1,X2,X3),powerset(the_carrier(X1)))|in(X3,topstr_closure(X1,X2))|~in(X3,the_carrier(X1))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1984]), ['final']).
% 282.28/198.91 cnf(i_0_4372, plain, (one_to_one(X1)|~function(X1)|~quasi_total(X1,X2,X3)|~bijective(X1,X2,X3)|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1989]), ['final']).
% 282.28/198.91 cnf(i_0_4373, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|in(esk479_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk477_2(X1,X2)!=esk478_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4374, plain, (in(X3,esk419_2(X5,X2))|in(esk418_2(X5,X2),X5)|X3!=X4|X1!=X3|~ordinal(X4)|~ordinal(X2)|~in(X4,X5)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))), inference(rw,[status(thm)],[i_0_2062, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4375, plain, (in(X3,esk419_2(X5,X2))|in(esk417_2(X5,X2),X5)|X3!=X4|X1!=X3|~ordinal(X4)|~ordinal(X2)|~in(X4,X5)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))), inference(rw,[status(thm)],[i_0_2063, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4376, lemma, (in(X2,esk433_1(X1))|X2!=X3|esk436_3(X1,X2,X3)!=empty_set|~ordinal(X3)|~ordinal(X1)|~in(X2,set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_2064, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4377, plain, (in(X4,X1)|~upper_relstr_subset(X1,X2)|~element(X3,the_carrier(X2))|~element(X4,the_carrier(X2))|~in(X3,X1)|~related(X2,X3,X4)|~element(X1,powerset(the_carrier(X2)))|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2065]), ['final']).
% 282.28/198.91 cnf(i_0_4378, lemma, (X2=relation_dom_restriction(X3,X1)|in(esk539_3(X1,X2,X3),relation_dom(X2))|relation_dom(X2)!=set_difference(relation_dom(X3),set_difference(relation_dom(X3),X1))|~function(X3)|~function(X2)|~relation(X3)|~relation(X2)), inference(rw,[status(thm)],[i_0_2066, c_0_1814]), ['final']).
% 282.28/198.91 cnf(i_0_4379, lemma, (element(esk439_3(X1,X2,X3),powerset(the_carrier(X1)))|~in(X3,esk438_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2067]), ['final']).
% 282.28/198.91 cnf(i_0_4380, plain, (esk318_1(X2)=esk316_1(X2)|in(X4,esk323_2(X2,X3))|X1!=X4|X6!=unordered_pair(X5,X5)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~in(X5,X2)|~in(X1,cartesian_product2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2068, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4381, plain, (esk317_1(X2)=esk316_1(X2)|in(X4,esk323_2(X2,X3))|X1!=X4|X6!=unordered_pair(X5,X5)|unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))!=X4|~in(X5,X2)|~in(X1,cartesian_product2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2069, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4382, plain, (esk348_3(X1,X2,X3)=X3|~in(X3,esk347_2(X1,X2))|esk345_2(X1,X2)!=esk346_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4383, lemma, (directed_subset(X1,X2)|empty_carrier(X2)|~element(X3,the_carrier(X2))|~in(X3,X1)|~relstr_set_smaller(X2,esk509_2(X2,X1),X3)|~element(X1,powerset(the_carrier(X2)))|~transitive_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2019]), ['final']).
% 282.28/198.91 cnf(i_0_4384, lemma, (related(X2,X4,X1)|~element(X1,the_carrier(X2))|~relstr_set_smaller(X2,X3,X1)|X4!=join_on_relstr(X2,X3)|~ex_sup_of_relstr_set(X2,X3)|~element(X4,the_carrier(X2))|~antisymmetric_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1922]), ['final']).
% 282.28/198.91 cnf(i_0_4385, lemma, (esk535_2(X1,X2)=apply(X1,esk536_2(X1,X2))|X2=function_inverse(X1)|~in(esk534_2(X1,X2),relation_dom(X1))|esk533_2(X1,X2)!=apply(X1,esk534_2(X1,X2))|relation_dom(X2)!=relation_rng(X1)|~relation(X2)|~function(X2)|~one_to_one(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 282.28/198.91 cnf(i_0_4386, lemma, (esk534_2(X1,X2)=apply(X2,esk533_2(X1,X2))|X2=function_inverse(X1)|~in(esk535_2(X1,X2),relation_rng(X1))|esk536_2(X1,X2)!=apply(X2,esk535_2(X1,X2))|relation_dom(X2)!=relation_rng(X1)|~relation(X2)|~function(X2)|~one_to_one(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 282.28/198.91 cnf(i_0_4387, lemma, (in(X1,X4)|~in(X1,topstr_closure(X2,X3))|~element(X4,powerset(the_carrier(X2)))|~closed_subset(X4,X2)|~subset(X3,X4)|~in(X1,the_carrier(X2))|~element(X3,powerset(the_carrier(X2)))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1984]), ['final']).
% 282.28/198.91 cnf(i_0_4388, lemma, (upper_relstr_subset(X2,incl_POSet(powerset(X1)))|subset(esk497_2(X1,X2),esk498_2(X1,X2))|~element(X2,powerset(the_carrier(incl_POSet(powerset(X1)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2070, c_0_2001]), c_0_2001]), ['final']).
% 282.28/198.91 cnf(i_0_4389, plain, (in(esk30_3(X1,X2,X3),X2)|in(esk29_3(X1,X2,X3),X3)|X3=relation_inverse_image(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_908]), ['final']).
% 282.28/198.91 cnf(i_0_4390, plain, (in(esk27_3(X1,X2,X3),X2)|in(esk26_3(X1,X2,X3),X3)|X3=relation_image(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_900]), ['final']).
% 282.28/198.91 cnf(i_0_4391, lemma, (element(esk508_3(X1,X2,X3),the_carrier(X1))|empty(X2)|empty_carrier(X1)|~finite(X3)|~element(X3,powerset(X2))|~directed_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~transitive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2019]), ['final']).
% 282.28/198.91 cnf(i_0_4392, plain, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|~in(X2,esk347_2(X1,X3))|esk345_2(X1,X3)!=esk346_2(X1,X3)|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.91 cnf(i_0_4393, lemma, (disjoint(esk540_3(X1,X2,X3),X2)|in(X3,topstr_closure(X1,X2))|empty_carrier(X1)|~element(X3,the_carrier(X1))|~element(X2,powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2009]), ['final']).
% 282.28/198.91 cnf(i_0_4394, lemma, (X1=unordered_pair(X2,X2)|esk257_1(X3)!=esk256_1(X3)|~in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),esk258_1(X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2071, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4395, lemma, (in(X1,X2)|esk257_1(X2)!=esk256_1(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk258_1(X2))), inference(rw,[status(thm)],[i_0_2072, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4396, lemma, (in(esk274_2(X1,X2),X2)|X2=empty_set|in(esk271_2(X3,X4),X4)|X4=empty_set|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|~element(X4,powerset(powerset(X3)))|~in(X3,omega)|~in(X3,esk270_0)|~ordinal(X3)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.91 cnf(i_0_4397, lemma, (in(esk512_3(X1,X2,X3),X2)|relation_rng_as_subset(X1,X2,X3)=X2|~relation_of2_as_subset(X3,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_897]), ['final']).
% 282.28/198.91 cnf(i_0_4398, lemma, (in(esk510_3(X1,X2,X3),X2)|relation_dom_as_subset(X2,X1,X3)=X2|~relation_of2_as_subset(X3,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_909]), ['final']).
% 282.28/198.91 cnf(i_0_4399, plain, (in(esk282_3(X1,X2,X3),X1)|in(esk278_2(X1,X2),esk280_2(X1,X2))|empty(X1)|~in(X3,esk281_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.91 cnf(i_0_4400, plain, (in(esk282_3(X1,X2,X3),X1)|in(esk277_2(X1,X2),esk279_2(X1,X2))|empty(X1)|~in(X3,esk281_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.91 cnf(i_0_4401, plain, (in(X1,esk283_3(X2,X3,X1))|in(esk278_2(X2,X3),esk280_2(X2,X3))|empty(X2)|~in(X1,esk281_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.91 cnf(i_0_4402, plain, (in(X1,esk283_3(X2,X3,X1))|in(esk277_2(X2,X3),esk279_2(X2,X3))|empty(X2)|~in(X1,esk281_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.91 cnf(i_0_4403, lemma, (upper_relstr_subset(X2,incl_POSet(powerset(X1)))|~in(esk498_2(X1,X2),X2)|~element(X2,powerset(the_carrier(incl_POSet(powerset(X1)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2073, c_0_2001]), c_0_2001]), ['final']).
% 282.28/198.91 cnf(i_0_4404, lemma, (in(esk492_2(X1,X2),X2)|X2=empty_set|in(esk489_2(X3,X4),X4)|X4=empty_set|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|~element(X4,powerset(powerset(X3)))|~in(X3,omega)|~in(X3,esk488_0)|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.91 cnf(i_0_4405, lemma, (in(X1,relation_dom(X2))|~function(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2)), inference(rw,[status(thm)],[i_0_2074, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4406, lemma, (relation_dom(esk481_2(X1,X2))=complements_of_subsets(the_carrier(X1),X2)|esk480_3(X1,X2,X3)=esk479_2(X1,X2)|esk477_2(X1,X2)!=esk478_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.91 cnf(i_0_4407, plain, (ordinal(esk418_2(X5,X2))|in(X3,esk419_2(X5,X2))|X3!=X4|X1!=X3|~ordinal(X4)|~ordinal(X2)|~in(X4,X5)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))), inference(rw,[status(thm)],[i_0_2075, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4408, plain, (ordinal(esk417_2(X5,X2))|in(X3,esk419_2(X5,X2))|X3!=X4|X1!=X3|~ordinal(X4)|~ordinal(X2)|~in(X4,X5)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))), inference(rw,[status(thm)],[i_0_2076, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4409, lemma, (empty_carrier(X3)|~empty(X1)|~element(X2,the_carrier(X3))|~in(X2,X1)|~relstr_set_smaller(X3,esk509_2(X3,X1),X2)|~element(X1,powerset(the_carrier(X3)))|~transitive_relstr(X3)|~rel_str(X3)), inference(split_conjunct,[status(thm)],[i_0_2019]), ['final']).
% 282.28/198.91 cnf(i_0_4410, plain, (related(X2,X1,X4)|~element(X1,the_carrier(X2))|~relstr_element_smaller(X2,X3,X1)|X4!=meet_on_relstr(X2,X3)|~ex_inf_of_relstr_set(X2,X3)|~element(X4,the_carrier(X2))|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1913]), ['final']).
% 282.28/198.91 cnf(i_0_4411, plain, (related(X2,X4,X1)|~element(X1,the_carrier(X2))|~relstr_set_smaller(X2,X3,X1)|X4!=join_on_relstr(X2,X3)|~ex_sup_of_relstr_set(X2,X3)|~element(X4,the_carrier(X2))|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1914]), ['final']).
% 282.28/198.91 cnf(i_0_4412, lemma, (relation_of2_as_subset(X1,X2,X3)|X2!=empty_set|~subset(X4,X3)|~function(X1)|~quasi_total(X1,X2,X4)|~relation_of2_as_subset(X1,X2,X4)), inference(split_conjunct,[status(thm)],[i_0_2077]), ['final']).
% 282.28/198.91 cnf(i_0_4413, lemma, (quasi_total(X1,X2,X3)|X2!=empty_set|~subset(X4,X3)|~function(X1)|~quasi_total(X1,X2,X4)|~relation_of2_as_subset(X1,X2,X4)), inference(split_conjunct,[status(thm)],[i_0_2077]), ['final']).
% 282.28/198.91 cnf(i_0_4414, lemma, (in(X1,X2)|X5=empty_set|~in(X1,relation_inverse_image(X3,X4))|~function(X3)|~quasi_total(X3,X2,X5)|~relation_of2_as_subset(X3,X2,X5)), inference(split_conjunct,[status(thm)],[i_0_2005]), ['final']).
% 282.28/198.91 cnf(i_0_4415, lemma, (in(esk536_2(X1,X2),relation_dom(X1))|X2=function_inverse(X1)|~in(esk534_2(X1,X2),relation_dom(X1))|esk533_2(X1,X2)!=apply(X1,esk534_2(X1,X2))|relation_dom(X2)!=relation_rng(X1)|~relation(X2)|~function(X2)|~one_to_one(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 282.28/198.91 cnf(i_0_4416, lemma, (in(esk533_2(X1,X2),relation_rng(X1))|X2=function_inverse(X1)|~in(esk535_2(X1,X2),relation_rng(X1))|esk536_2(X1,X2)!=apply(X2,esk535_2(X1,X2))|relation_dom(X2)!=relation_rng(X1)|~relation(X2)|~function(X2)|~one_to_one(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 282.28/198.91 cnf(i_0_4417, lemma, (relation_of2_as_subset(X1,X2,X3)|X4=empty_set|~subset(X4,X3)|~function(X1)|~quasi_total(X1,X2,X4)|~relation_of2_as_subset(X1,X2,X4)), inference(split_conjunct,[status(thm)],[i_0_2077]), ['final']).
% 282.28/198.91 cnf(i_0_4418, lemma, (quasi_total(X1,X2,X3)|X4=empty_set|~subset(X4,X3)|~function(X1)|~quasi_total(X1,X2,X4)|~relation_of2_as_subset(X1,X2,X4)), inference(split_conjunct,[status(thm)],[i_0_2077]), ['final']).
% 282.28/198.91 cnf(i_0_4419, lemma, (in(esk508_3(X1,X2,X3),X2)|empty(X2)|empty_carrier(X1)|~finite(X3)|~element(X3,powerset(X2))|~directed_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~transitive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2019]), ['final']).
% 282.28/198.91 cnf(i_0_4420, lemma, (in(X1,esk438_2(X2,X4))|~in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|X3!=X1|~closed_subset(X3,X2)|~subset(X4,X1)|~topological_space(X2)|~top_str(X2)|~element(X4,powerset(the_carrier(X2)))), inference(split_conjunct,[status(thm)],[i_0_2067]), ['final']).
% 282.28/198.91 cnf(i_0_4421, lemma, (in(X3,esk494_2(X2,X4))|~element(X1,powerset(the_carrier(X2)))|X1!=X3|~closed_subset(X1,X2)|~subset(X4,X3)|~element(X3,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)|~element(X4,powerset(the_carrier(X2)))), inference(split_conjunct,[status(thm)],[i_0_1990]), ['final']).
% 282.28/198.91 cnf(i_0_4422, lemma, (empty_carrier(X1)|X2=X3|~join_commutative(X1)|~join_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~below(X1,X2,X3)|~below(X1,X3,X2)), inference(split_conjunct,[status(thm)],[i_0_2078]), ['final']).
% 282.28/198.91 cnf(i_0_4423, lemma, (relstr_set_smaller(poset_of_lattice(X1),X3,X2)|empty_carrier(X1)|~latt_element_smaller(X1,cast_to_el_of_lattice(X1,X2),X3)|~element(X2,the_carrier(poset_of_lattice(X1)))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2079]), ['final']).
% 282.28/198.91 cnf(i_0_4424, lemma, (relstr_element_smaller(poset_of_lattice(X1),X3,X2)|empty_carrier(X1)|~latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X3)|~element(X2,the_carrier(poset_of_lattice(X1)))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2080]), ['final']).
% 282.28/198.91 cnf(i_0_4425, plain, (esk418_2(X5,X2)=esk416_2(X5,X2)|in(X3,esk419_2(X5,X2))|X3!=X4|X1!=X3|~ordinal(X4)|~ordinal(X2)|~in(X4,X5)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))), inference(rw,[status(thm)],[i_0_2081, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4426, plain, (esk417_2(X5,X2)=esk415_2(X5,X2)|in(X3,esk419_2(X5,X2))|X3!=X4|X1!=X3|~ordinal(X4)|~ordinal(X2)|~in(X4,X5)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))), inference(rw,[status(thm)],[i_0_2082, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4427, plain, (esk416_2(X5,X2)=esk414_2(X5,X2)|in(X3,esk419_2(X5,X2))|X3!=X4|X1!=X3|~ordinal(X4)|~ordinal(X2)|~in(X4,X5)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))), inference(rw,[status(thm)],[i_0_2083, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4428, plain, (esk415_2(X5,X2)=esk414_2(X5,X2)|in(X3,esk419_2(X5,X2))|X3!=X4|X1!=X3|~ordinal(X4)|~ordinal(X2)|~in(X4,X5)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))), inference(rw,[status(thm)],[i_0_2084, c_0_1659]), ['final']).
% 282.28/198.91 cnf(i_0_4429, lemma, (subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2))=X2|~one_sorted_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2085]), ['final']).
% 282.28/198.91 cnf(i_0_4430, plain, (in(esk107_3(X1,X2,X3),X1)|in(esk107_3(X1,X2,X3),X3)|X3=set_difference(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1867]), ['final']).
% 282.28/198.91 cnf(i_0_4431, plain, (in(esk87_3(X1,X2,X3),X2)|in(esk85_3(X1,X2,X3),X3)|X3=cartesian_product2(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_904]), ['final']).
% 282.28/198.91 cnf(i_0_4432, plain, (in(esk86_3(X1,X2,X3),X1)|in(esk85_3(X1,X2,X3),X3)|X3=cartesian_product2(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_904]), ['final']).
% 282.28/198.91 cnf(i_0_4433, plain, (in(X1,X2)|X4!=identity_relation(X2)|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X4)), inference(rw,[status(thm)],[i_0_2086, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4434, plain, (in(X1,X4)|X4!=relation_dom(X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[i_0_2087, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4435, plain, (in(X2,X4)|X4!=relation_rng(X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[i_0_2088, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4436, lemma, (in(X1,esk430_2(X2,X3))|X5!=unordered_pair(X4,X4)|unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4))!=X1|~in(X4,X2)|~in(X1,cartesian_product2(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2089, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4437, lemma, (X1=apply(X2,X3)|~function(X2)|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_2090, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4438, lemma, (below_refl(X2,X1,X4)|empty_carrier(X2)|~element(X1,the_carrier(X2))|~latt_set_smaller(X2,X1,X3)|X4!=meet_of_latt_set(X2,X3)|~element(X4,the_carrier(X2))|~lattice(X2)|~complete_latt_str(X2)|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1916]), ['final']).
% 282.28/198.91 cnf(i_0_4439, plain, (empty_carrier(X2)|below(X2,X4,X1)|X4!=join_of_latt_set(X2,X3)|~latt_str(X2)|~lattice(X2)|~complete_latt_str(X2)|~latt_element_smaller(X2,X1,X3)|~element(X4,the_carrier(X2))|~element(X1,the_carrier(X2))), inference(cn,[status(thm)],[i_0_2091]), ['final']).
% 282.28/198.91 cnf(i_0_4440, plain, (element(esk35_3(X1,X2,X3),the_carrier(X1))|X3=lim_points_of_net(X1,X2)|empty_carrier(X2)|empty_carrier(X1)|~element(X3,powerset(the_carrier(X1)))|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1662]), ['final']).
% 282.28/198.91 cnf(i_0_4441, lemma, (in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_2092, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4442, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2)), inference(rw,[status(thm)],[i_0_2093, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4443, lemma, (in(X1,relation_field(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2)), inference(rw,[status(thm)],[i_0_2094, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4444, lemma, (in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2)), inference(rw,[status(thm)],[i_0_2095, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4445, lemma, (X2=X3|~antisymmetric_relstr(X1)|~rel_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~related(X1,X2,X3)|~related(X1,X3,X2)), inference(split_conjunct,[status(thm)],[i_0_2096]), ['final']).
% 282.28/198.91 cnf(i_0_4446, plain, (empty_carrier(X1)|empty_carrier(X2)|~empty_carrier(netstr_restr_to_element(X1,X2,X3))|~one_sorted_str(X1)|~directed_relstr(X2)|~net_str(X2,X1)|~element(X3,the_carrier(X2))), inference(split_conjunct,[status(thm)],[i_0_2097]), ['final']).
% 282.28/198.91 cnf(i_0_4447, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk177_1(X1),esk176_1(X1)),unordered_pair(esk177_1(X1),esk177_1(X1))),X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_2098, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4448, lemma, (antisymmetric(X1)|in(unordered_pair(unordered_pair(esk176_1(X1),esk177_1(X1)),unordered_pair(esk176_1(X1),esk176_1(X1))),X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_2099, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4449, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk173_1(X1),esk174_1(X1)),unordered_pair(esk173_1(X1),esk173_1(X1))),X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_2100, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4450, lemma, (transitive(X1)|in(unordered_pair(unordered_pair(esk172_1(X1),esk173_1(X1)),unordered_pair(esk172_1(X1),esk172_1(X1))),X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_2101, c_0_1285]), ['final']).
% 282.28/198.91 cnf(i_0_4451, plain, (in(esk23_3(X1,X2,X3),the_carrier(X1))|X3=topstr_closure(X1,X2)|~element(X3,powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1783]), ['final']).
% 282.28/198.91 cnf(i_0_4452, plain, (element(esk6_3(X1,X2,X3),the_carrier(X2))|empty_carrier(X2)|empty_carrier(X1)|~is_eventually_in(X1,X2,X3)|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1566]), ['final']).
% 282.28/198.91 cnf(i_0_4453, lemma, (closed_subset(esk530_3(X1,X2,X3),X1)|in(X3,topstr_closure(X1,X2))|~in(X3,the_carrier(X1))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1984]), ['final']).
% 282.28/198.91 cnf(i_0_4454, lemma, (subset(X1,esk530_3(X2,X1,X3))|in(X3,topstr_closure(X2,X1))|~in(X3,the_carrier(X2))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1984]), ['final']).
% 282.28/198.92 cnf(i_0_4455, lemma, (being_limit_ordinal(X1)|~ordinal(X1)|~in(set_union2(esk527_1(X1),unordered_pair(esk527_1(X1),esk527_1(X1))),X1)), inference(rw,[status(thm)],[i_0_2102, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_4456, lemma, (empty_carrier(X1)|below(X1,meet_commut(X1,X2,X3),X2)|~meet_commutative(X1)|~meet_absorbing(X1)|~latt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2103]), ['final']).
% 282.28/198.92 cnf(i_0_4457, lemma, (in(X1,cartesian_product2(X2,X2))|~in(X1,esk451_3(X2,X3,X4))|~relation(X3)|~relation(X4)|~function(X4)), inference(split_conjunct,[status(thm)],[i_0_890]), ['final']).
% 282.28/198.92 cnf(i_0_4458, plain, (esk348_3(X1,X2,X3)=X3|esk344_2(X1,X2)=esk346_2(X1,X2)|~in(X3,esk347_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.92 cnf(i_0_4459, plain, (esk348_3(X1,X2,X3)=X3|esk344_2(X1,X2)=esk345_2(X1,X2)|~in(X3,esk347_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.92 cnf(i_0_4460, plain, (latt_set_smaller(X1,esk169_3(X2,X1,X3),X3)|empty_carrier(X1)|~in(X2,a_2_3_lattice3(X1,X3))|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2104]), ['final']).
% 282.28/198.92 cnf(i_0_4461, lemma, (directed_relstr(preimage_subnetstr(X1,X2,X3))|empty_carrier(X2)|empty_carrier(X1)|~is_often_in(X1,X2,X3)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1992]), ['final']).
% 282.28/198.92 cnf(i_0_4462, lemma, (closed_subset(esk439_3(X1,X2,X3),X1)|~in(X3,esk438_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2067]), ['final']).
% 282.28/198.92 cnf(i_0_4463, plain, (esk282_3(X1,X2,X3)=esk283_3(X1,X2,X3)|in(esk278_2(X1,X2),esk280_2(X1,X2))|empty(X1)|~in(X3,esk281_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4464, plain, (esk282_3(X1,X2,X3)=esk283_3(X1,X2,X3)|in(esk277_2(X1,X2),esk279_2(X1,X2))|empty(X1)|~in(X3,esk281_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4465, lemma, (X3=empty_set|in(apply(X1,X4),relation_rng(X1))|~function(X1)|~quasi_total(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)|~in(X4,X2)), inference(split_conjunct,[status(thm)],[i_0_2105]), ['final']).
% 282.28/198.92 cnf(i_0_4466, lemma, (relation(esk481_2(X1,X2))|in(esk479_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk477_2(X1,X2)!=esk478_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.92 cnf(i_0_4467, lemma, (function(esk481_2(X1,X2))|in(esk479_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|esk477_2(X1,X2)!=esk478_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.92 cnf(i_0_4468, lemma, (X1=empty_set|in(unordered_pair(unordered_pair(esk537_1(X1),esk538_1(X1)),unordered_pair(esk537_1(X1),esk537_1(X1))),X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_2106, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4469, plain, (trivial_carrier(rel_str_of(unordered_pair(X1,X1),X2))|~relation_of2(X2,unordered_pair(X1,X1),unordered_pair(X1,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2107, c_0_882]), c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_4470, plain, (strict_rel_str(rel_str_of(unordered_pair(X1,X1),X2))|~relation_of2(X2,unordered_pair(X1,X1),unordered_pair(X1,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2108, c_0_882]), c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_4471, plain, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|esk344_2(X1,X3)=esk346_2(X1,X3)|~in(X2,esk347_2(X1,X3))|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.92 cnf(i_0_4472, plain, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|esk344_2(X1,X3)=esk345_2(X1,X3)|~in(X2,esk347_2(X1,X3))|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 282.28/198.92 cnf(i_0_4473, plain, (in(esk75_3(X1,X2,X3),X3)|esk75_3(X1,X2,X3)=X1|esk75_3(X1,X2,X3)=X2|X3=unordered_pair(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2029]), ['final']).
% 282.28/198.92 cnf(i_0_4474, lemma, (latt_element_smaller(X1,cast_to_el_of_lattice(X1,X3),X2)|empty_carrier(X1)|~relstr_set_smaller(poset_of_lattice(X1),X2,X3)|~element(X3,the_carrier(poset_of_lattice(X1)))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2079]), ['final']).
% 282.28/198.92 cnf(i_0_4475, lemma, (latt_set_smaller(X1,cast_to_el_of_lattice(X1,X3),X2)|empty_carrier(X1)|~relstr_element_smaller(poset_of_lattice(X1),X2,X3)|~element(X3,the_carrier(poset_of_lattice(X1)))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2080]), ['final']).
% 282.28/198.92 cnf(i_0_4476, plain, (function(X1)|in(unordered_pair(unordered_pair(esk39_1(X1),esk41_1(X1)),unordered_pair(esk39_1(X1),esk39_1(X1))),X1)), inference(rw,[status(thm)],[i_0_2109, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4477, plain, (function(X1)|in(unordered_pair(unordered_pair(esk39_1(X1),esk40_1(X1)),unordered_pair(esk39_1(X1),esk39_1(X1))),X1)), inference(rw,[status(thm)],[i_0_2110, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4478, plain, (join(X1,meet(X1,X2,X3),X3)=X3|empty_carrier(X1)|~meet_absorbing(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1981]), ['final']).
% 282.28/198.92 cnf(i_0_4479, plain, (element(esk144_3(X1,X2,X3),powerset(X1))|X3=complements_of_subsets(X1,X2)|~element(X3,powerset(powerset(X1)))|~element(X2,powerset(powerset(X1)))), inference(split_conjunct,[status(thm)],[i_0_1780]), ['final']).
% 282.28/198.92 cnf(i_0_4480, plain, (related(X1,X2,esk116_3(X1,X2,X3))|empty_carrier(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~directed_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2111]), ['final']).
% 282.28/198.92 cnf(i_0_4481, plain, (related(X1,X2,esk116_3(X1,X3,X2))|empty_carrier(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~directed_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2111]), ['final']).
% 282.28/198.92 cnf(i_0_4482, plain, (X1=X2|X3!=identity_relation(X4)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)), inference(rw,[status(thm)],[i_0_2112, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4483, plain, (esk343_3(X1,X2,X3)=X3|element(esk340_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4484, plain, (esk343_3(X1,X2,X3)=X3|element(esk339_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4485, plain, (esk342_3(X1,X2,X3)=X3|element(esk340_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4486, plain, (esk342_3(X1,X2,X3)=X3|element(esk339_2(X1,X2),powerset(the_carrier(X1)))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4487, plain, (v1_partfun1(X1,X2,X3)|empty(X2)|empty(X3)|~function(X1)|~quasi_total(X1,X2,X3)|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2113]), ['final']).
% 282.28/198.92 cnf(i_0_4488, lemma, (latt_element_smaller(X1,X3,X2)|empty_carrier(X1)|~relstr_set_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))|~element(X3,the_carrier(X1))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2114]), ['final']).
% 282.28/198.92 cnf(i_0_4489, lemma, (latt_set_smaller(X1,X3,X2)|empty_carrier(X1)|~relstr_element_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))|~element(X3,the_carrier(X1))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2115]), ['final']).
% 282.28/198.92 cnf(i_0_4490, lemma, (in(X1,cartesian_product2(X2,X3))|empty(X2)|~in(X1,esk422_3(X2,X4,X3))|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_883]), ['final']).
% 282.28/198.92 cnf(i_0_4491, lemma, (relation_dom(esk487_2(X1,X2))=X2|esk486_3(X1,X2,X3)=esk485_2(X1,X2)|esk483_2(X1,X2)!=esk484_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.92 cnf(i_0_4492, plain, (esk322_1(X1)=unordered_pair(esk321_1(X1),esk321_1(X1))|in(esk324_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_2116, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_4493, plain, (esk320_1(X1)=unordered_pair(esk319_1(X1),esk319_1(X1))|in(esk324_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_2117, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_4494, plain, (full_subrelstr(X1,X2)|X1!=preimage_subnetstr(X3,X2,X4)|~strict_net_str(X1,X3)|~subnetstr(X1,X3,X2)|~net_str(X2,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1795]), ['final']).
% 282.28/198.92 cnf(i_0_4495, plain, (subrelstr(X1,X2)|X1!=preimage_subnetstr(X3,X2,X4)|~strict_net_str(X1,X3)|~subnetstr(X1,X3,X2)|~net_str(X2,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1795]), ['final']).
% 282.28/198.92 cnf(i_0_4496, plain, (in(esk282_3(X1,X2,X3),X1)|empty(X1)|~in(X3,esk281_2(X1,X2))|esk277_2(X1,X2)!=esk278_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4497, plain, (in(X1,esk283_3(X2,X3,X1))|empty(X2)|~in(X1,esk281_2(X2,X3))|esk277_2(X2,X3)!=esk278_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4498, lemma, (relation(esk487_2(X1,X2))|esk486_3(X1,X2,X3)=esk485_2(X1,X2)|esk483_2(X1,X2)!=esk484_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.92 cnf(i_0_4499, lemma, (function(esk487_2(X1,X2))|esk486_3(X1,X2,X3)=esk485_2(X1,X2)|esk483_2(X1,X2)!=esk484_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.92 cnf(i_0_4500, lemma, (relation(esk481_2(X1,X2))|esk480_3(X1,X2,X3)=esk479_2(X1,X2)|esk477_2(X1,X2)!=esk478_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.92 cnf(i_0_4501, lemma, (function(esk481_2(X1,X2))|esk480_3(X1,X2,X3)=esk479_2(X1,X2)|esk477_2(X1,X2)!=esk478_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 282.28/198.92 cnf(i_0_4502, plain, (below(X1,X2,X4)|empty_carrier(X1)|~latt_set_smaller(X1,X2,X3)|~element(X4,the_carrier(X1))|~in(X4,X3)|~element(X2,the_carrier(X1))|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1961]), ['final']).
% 282.28/198.92 cnf(i_0_4503, plain, (below(X1,X4,X2)|empty_carrier(X1)|~latt_element_smaller(X1,X2,X3)|~element(X4,the_carrier(X1))|~in(X4,X3)|~element(X2,the_carrier(X1))|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1960]), ['final']).
% 282.28/198.92 cnf(i_0_4504, plain, (directed_relstr(X2)|empty_carrier(X2)|~element(X1,the_carrier(X2))|~related(X2,esk117_1(X2),X1)|~related(X2,esk118_1(X2),X1)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2111]), ['final']).
% 282.28/198.92 cnf(i_0_4505, lemma, (subset(esk498_2(X1,X2),X1)|upper_relstr_subset(X2,incl_POSet(powerset(X1)))|~element(X2,powerset(the_carrier(incl_POSet(powerset(X1)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2118, c_0_2001]), c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_4506, lemma, (in(esk497_2(X1,X2),X2)|upper_relstr_subset(X2,incl_POSet(powerset(X1)))|~element(X2,powerset(the_carrier(incl_POSet(powerset(X1)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2119, c_0_2001]), c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_4507, plain, (below_refl(X1,X2,X3)|empty_carrier(X1)|~below(X1,X2,X3)|~meet_commutative(X1)|~meet_absorbing(X1)|~join_absorbing(X1)|~latt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2120]), ['final']).
% 282.28/198.92 cnf(i_0_4508, plain, (below(X1,X2,X3)|empty_carrier(X1)|~below_refl(X1,X2,X3)|~meet_commutative(X1)|~meet_absorbing(X1)|~join_absorbing(X1)|~latt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2120]), ['final']).
% 282.28/198.92 cnf(i_0_4509, plain, (v1_partfun1(X1,X2,X3)|empty(X3)|~function(X1)|~quasi_total(X1,X2,X3)|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2121]), ['final']).
% 282.28/198.92 cnf(i_0_4510, plain, (esk324_3(X1,X2,X3)=X3|unordered_pair(unordered_pair(esk321_1(X1),esk322_1(X1)),unordered_pair(esk321_1(X1),esk321_1(X1)))=esk318_1(X1)|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_2122, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4511, plain, (esk324_3(X1,X2,X3)=X3|unordered_pair(unordered_pair(esk319_1(X1),esk320_1(X1)),unordered_pair(esk319_1(X1),esk319_1(X1)))=esk317_1(X1)|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_2123, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4512, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|X3!=the_InternalRel(incl_POSet(X4))|~relation(X3)|~in(X2,X4)|~in(X1,X4)|~subset(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2124, c_0_1670]), c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4513, plain, (in(X2,X4)|~in(subset_complement(X1,X2),X3)|~element(X2,powerset(X1))|X4!=complements_of_subsets(X1,X3)|~element(X4,powerset(powerset(X1)))|~element(X3,powerset(powerset(X1)))), inference(split_conjunct,[status(thm)],[i_0_1780]), ['final']).
% 282.28/198.92 cnf(i_0_4514, lemma, (relation(esk267_2(X1,X2))|esk266_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk264_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922]), ['final']).
% 282.28/198.92 cnf(i_0_4515, lemma, (function(esk267_2(X1,X2))|esk266_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk264_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922]), ['final']).
% 282.28/198.92 cnf(i_0_4516, lemma, (relation(esk267_2(X1,X2))|esk265_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk264_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922]), ['final']).
% 282.28/198.92 cnf(i_0_4517, lemma, (function(esk267_2(X1,X2))|esk265_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk264_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922]), ['final']).
% 282.28/198.92 cnf(i_0_4518, lemma, (relation(esk262_2(X1,X2))|esk261_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920]), ['final']).
% 282.28/198.92 cnf(i_0_4519, lemma, (function(esk262_2(X1,X2))|esk261_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920]), ['final']).
% 282.28/198.92 cnf(i_0_4520, lemma, (relation(esk262_2(X1,X2))|esk260_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920]), ['final']).
% 282.28/198.92 cnf(i_0_4521, lemma, (function(esk262_2(X1,X2))|esk260_2(X1,X2)=subset_complement(the_carrier(X1),X3)|~element(X3,powerset(the_carrier(X1)))|X3!=esk259_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920]), ['final']).
% 282.28/198.92 cnf(i_0_4522, lemma, (relation_dom(esk487_2(X1,X2))=X2|esk486_3(X1,X2,X3)=esk485_2(X1,X2)|in(esk482_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.92 cnf(i_0_4523, lemma, (empty_carrier(X1)|empty_carrier(X2)|the_carrier(netstr_restr_to_element(X1,X2,X3))=a_3_0_waybel_9(X1,X2,X3)|~one_sorted_str(X1)|~net_str(X2,X1)|~element(X3,the_carrier(X2))), inference(split_conjunct,[status(thm)],[i_0_2125]), ['final']).
% 282.28/198.92 cnf(i_0_4524, plain, (in(esk282_3(X1,X2,X3),X1)|in(esk276_2(X1,X2),X1)|empty(X1)|~in(X3,esk281_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4525, plain, (in(esk282_3(X1,X2,X3),X1)|in(esk276_2(X1,X2),X1)|empty(X1)|~in(X3,esk281_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4526, plain, (in(X1,esk283_3(X2,X3,X1))|in(esk276_2(X2,X3),X2)|empty(X2)|~in(X1,esk281_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4527, plain, (in(X1,esk283_3(X2,X3,X1))|in(esk276_2(X2,X3),X2)|empty(X2)|~in(X1,esk281_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4528, plain, (latt_set_smaller(X1,esk168_3(X2,X1,X3),X3)|empty_carrier(X1)|~in(X2,a_2_2_lattice3(X1,X3))|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2126]), ['final']).
% 282.28/198.92 cnf(i_0_4529, lemma, (esk495_3(X1,X2,X3)=X3|~in(X3,esk494_2(X1,X2))|~element(X3,powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1990]), ['final']).
% 282.28/198.92 cnf(i_0_4530, lemma, (related(X2,esk502_2(X2,X3),X1)|~element(X1,the_carrier(X2))|~relstr_set_smaller(X2,X3,X1)|~ex_sup_of_relstr_set(X2,X3)|~antisymmetric_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1924]), ['final']).
% 282.28/198.92 cnf(i_0_4531, lemma, (related(X2,X1,esk505_2(X2,X3))|~element(X1,the_carrier(X2))|~relstr_element_smaller(X2,X3,X1)|~ex_inf_of_relstr_set(X2,X3)|~antisymmetric_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1923]), ['final']).
% 282.28/198.92 cnf(i_0_4532, lemma, (relation(esk487_2(X1,X2))|esk486_3(X1,X2,X3)=esk485_2(X1,X2)|in(esk482_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.92 cnf(i_0_4533, lemma, (function(esk487_2(X1,X2))|esk486_3(X1,X2,X3)=esk485_2(X1,X2)|in(esk482_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.92 cnf(i_0_4534, plain, (in(esk421_3(X1,X2,X3),X1)|~in(X3,esk419_2(X1,X2))|esk415_2(X1,X2)!=esk416_2(X1,X2)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4535, plain, (related(X1,X3,X4)|~relstr_element_smaller(X1,X2,X3)|~element(X4,the_carrier(X1))|~in(X4,X2)|~element(X3,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1963]), ['final']).
% 282.28/198.92 cnf(i_0_4536, plain, (related(X1,X4,X3)|~relstr_set_smaller(X1,X2,X3)|~element(X4,the_carrier(X1))|~in(X4,X2)|~element(X3,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1962]), ['final']).
% 282.28/198.92 cnf(i_0_4537, plain, (the_InternalRel(X1)=relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X1))|empty_carrier(X2)|empty_carrier(X3)|X1!=netstr_restr_to_element(X3,X2,X4)|~strict_net_str(X1,X3)|~net_str(X1,X3)|~element(X4,the_carrier(X2))|~net_str(X2,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1535]), ['final']).
% 282.28/198.92 cnf(i_0_4538, plain, (quasi_total(X1,X2,X3)|~function(X1)|~v1_partfun1(X1,X2,X3)|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2127]), ['final']).
% 282.28/198.92 cnf(i_0_4539, plain, (element(esk88_2(X1,X2),powerset(powerset(the_carrier(X1))))|~is_a_cover_of_carrier(X1,X2)|~open_subsets(X2,X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~compact_top_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2128]), ['final']).
% 282.28/198.92 cnf(i_0_4540, plain, (in(esk421_3(X1,X2,X3),X1)|in(esk418_2(X1,X2),X1)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4541, plain, (in(esk421_3(X1,X2,X3),X1)|in(esk417_2(X1,X2),X1)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4542, plain, (in(esk324_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk321_1(X1),X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4543, plain, (in(esk324_3(X1,X2,X3),cartesian_product2(X1,X2))|in(esk319_1(X1),X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4544, plain, (in(esk61_3(X1,X2,X3),X3)|X3=fiber(X1,X2)|esk61_3(X1,X2,X3)!=X2|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_907]), ['final']).
% 282.28/198.92 cnf(i_0_4545, plain, (quasi_total(X3,X1,X2)|X1!=relation_dom_as_subset(X1,X2,X3)|X1!=empty_set|~relation_of2_as_subset(X3,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2129]), ['final']).
% 282.28/198.92 cnf(i_0_4546, plain, (epred2_3(esk329_1(X1),esk328_1(X1),esk327_1(X1))|in(esk331_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)|~in(X2,esk330_1(X1))), inference(rw,[status(thm)],[i_0_2130, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_4547, plain, (X2=relation_dom_as_subset(X2,X3,X1)|~quasi_total(X1,X2,X3)|X2!=empty_set|~relation_of2_as_subset(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2129]), ['final']).
% 282.28/198.92 cnf(i_0_4548, plain, (quasi_total(X3,X1,X2)|X2=empty_set|X1!=relation_dom_as_subset(X1,X2,X3)|~relation_of2_as_subset(X3,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2129]), ['final']).
% 282.28/198.92 cnf(i_0_4549, plain, (X2=relation_dom_as_subset(X2,X3,X1)|X3=empty_set|~quasi_total(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2129]), ['final']).
% 282.28/198.92 cnf(i_0_4550, plain, (in(X3,interior(X2,X1))|empty_carrier(X2)|~point_neighbourhood(X1,X2,X3)|~element(X1,powerset(the_carrier(X2)))|~element(X3,the_carrier(X2))|~topological_space(X2)|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2131]), ['final']).
% 282.28/198.92 cnf(i_0_4551, plain, (esk343_3(X1,X2,X3)=X3|~in(X3,esk341_2(X1,X2))|esk337_2(X1,X2)!=esk338_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4552, plain, (esk342_3(X1,X2,X3)=X3|~in(X3,esk341_2(X1,X2))|esk337_2(X1,X2)!=esk338_2(X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4553, plain, (related(X2,esk128_2(X2,X3),X1)|~element(X1,the_carrier(X2))|~relstr_set_smaller(X2,X3,X1)|~ex_sup_of_relstr_set(X2,X3)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.92 cnf(i_0_4554, plain, (related(X2,X1,esk145_2(X2,X3))|~element(X1,the_carrier(X2))|~relstr_element_smaller(X2,X3,X1)|~ex_inf_of_relstr_set(X2,X3)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.92 cnf(i_0_4555, plain, (esk282_3(X1,X2,X3)=esk283_3(X1,X2,X3)|empty(X1)|~in(X3,esk281_2(X1,X2))|esk277_2(X1,X2)!=esk278_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4556, lemma, (esk257_1(X2)=unordered_pair(esk255_1(X2),esk255_1(X2))|in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk258_1(X2))|X3!=unordered_pair(X1,X1)|~in(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2132, c_0_882]), c_0_882]), c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4557, lemma, (esk256_1(X2)=unordered_pair(esk255_1(X2),esk255_1(X2))|in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk258_1(X2))|X3!=unordered_pair(X1,X1)|~in(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2133, c_0_882]), c_0_882]), c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4558, plain, (open_subset(subset_difference(the_carrier(X2),cast_as_carrier_subset(X2),X1),X2)|~closed_subset(X1,X2)|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2014]), ['final']).
% 282.28/198.92 cnf(i_0_4559, plain, (ordinal(esk421_3(X1,X2,X3))|~in(X3,esk419_2(X1,X2))|esk415_2(X1,X2)!=esk416_2(X1,X2)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4560, plain, (element(esk33_3(X1,X2,X3),the_carrier(X1))|latt_element_smaller(X1,X2,X3)|empty_carrier(X1)|~element(X2,the_carrier(X1))|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1960]), ['final']).
% 282.28/198.92 cnf(i_0_4561, plain, (element(esk31_3(X1,X2,X3),the_carrier(X1))|latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|~element(X2,the_carrier(X1))|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1961]), ['final']).
% 282.28/198.92 cnf(i_0_4562, lemma, (in(X1,esk456_2(X4,X2))|X1!=X3|~ordinal(X3)|~ordinal(X2)|~in(X3,X4)|~in(X1,set_union2(X2,unordered_pair(X2,X2)))), inference(rw,[status(thm)],[i_0_2134, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_4563, lemma, (empty(X1)|empty_carrier(X2)|~proper_element(X1,powerset(the_carrier(X2)))|~in(bottom_of_relstr(X2),X1)|~filtered_subset(X1,X2)|~upper_relstr_subset(X1,X2)|~element(X1,powerset(the_carrier(X2)))|~reflexive_relstr(X2)|~transitive_relstr(X2)|~antisymmetric_relstr(X2)|~lower_bounded_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2135]), ['final']).
% 282.28/198.92 cnf(i_0_4564, plain, (esk343_3(X1,X2,X3)=X3|closed_subset(esk340_2(X1,X2),X1)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4565, plain, (esk343_3(X1,X2,X3)=X3|closed_subset(esk339_2(X1,X2),X1)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4566, plain, (esk342_3(X1,X2,X3)=X3|closed_subset(esk340_2(X1,X2),X1)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4567, plain, (esk342_3(X1,X2,X3)=X3|closed_subset(esk339_2(X1,X2),X1)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4568, plain, (esk343_3(X1,X2,X3)=X3|subset(X2,esk338_2(X1,X2))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4569, plain, (esk343_3(X1,X2,X3)=X3|subset(X2,esk337_2(X1,X2))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4570, plain, (esk342_3(X1,X2,X3)=X3|subset(X2,esk338_2(X1,X2))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4571, plain, (esk342_3(X1,X2,X3)=X3|subset(X2,esk337_2(X1,X2))|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4572, plain, (related_reflexive(X1,X2,X3)|empty_carrier(X1)|~related(X1,X2,X3)|~reflexive_relstr(X1)|~rel_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2136]), ['final']).
% 282.28/198.92 cnf(i_0_4573, plain, (related(X1,X2,X3)|empty_carrier(X1)|~related_reflexive(X1,X2,X3)|~reflexive_relstr(X1)|~rel_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2136]), ['final']).
% 282.28/198.92 cnf(i_0_4574, plain, (esk282_3(X1,X2,X3)=esk283_3(X1,X2,X3)|in(esk276_2(X1,X2),X1)|empty(X1)|~in(X3,esk281_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4575, plain, (esk282_3(X1,X2,X3)=esk283_3(X1,X2,X3)|in(esk276_2(X1,X2),X1)|empty(X1)|~in(X3,esk281_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4576, plain, (in(esk282_3(X1,X2,X3),X1)|esk276_2(X1,X2)=esk280_2(X1,X2)|empty(X1)|~in(X3,esk281_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4577, plain, (in(esk282_3(X1,X2,X3),X1)|esk276_2(X1,X2)=esk279_2(X1,X2)|empty(X1)|~in(X3,esk281_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4578, plain, (in(X1,esk283_3(X2,X3,X1))|esk276_2(X2,X3)=esk280_2(X2,X3)|empty(X2)|~in(X1,esk281_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4579, plain, (in(X1,esk283_3(X2,X3,X1))|esk276_2(X2,X3)=esk279_2(X2,X3)|empty(X2)|~in(X1,esk281_2(X2,X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4580, plain, (antisymmetric_relstr(rel_str_of(X1,X2))|~reflexive(X2)|~antisymmetric(X2)|~transitive(X2)|~v1_partfun1(X2,X1,X1)|~relation_of2(X2,X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2137]), ['final']).
% 282.28/198.92 cnf(i_0_4581, plain, (transitive_relstr(rel_str_of(X1,X2))|~reflexive(X2)|~antisymmetric(X2)|~transitive(X2)|~v1_partfun1(X2,X1,X1)|~relation_of2(X2,X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2137]), ['final']).
% 282.28/198.92 cnf(i_0_4582, plain, (reflexive_relstr(rel_str_of(X1,X2))|~reflexive(X2)|~antisymmetric(X2)|~transitive(X2)|~v1_partfun1(X2,X1,X1)|~relation_of2(X2,X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2137]), ['final']).
% 282.28/198.92 cnf(i_0_4583, plain, (strict_rel_str(rel_str_of(X1,X2))|~reflexive(X2)|~antisymmetric(X2)|~transitive(X2)|~v1_partfun1(X2,X1,X1)|~relation_of2(X2,X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2137]), ['final']).
% 282.28/198.92 cnf(i_0_4584, lemma, (relstr_set_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2))|empty_carrier(X1)|~latt_element_smaller(X1,X2,X3)|~element(X2,the_carrier(X1))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2114]), ['final']).
% 282.28/198.92 cnf(i_0_4585, lemma, (relstr_element_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2))|empty_carrier(X1)|~latt_set_smaller(X1,X2,X3)|~element(X2,the_carrier(X1))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2115]), ['final']).
% 282.28/198.92 cnf(i_0_4586, lemma, (X1=esk274_2(X3,X2)|X2=empty_set|subset(X4,esk273_1(X4))|~in(X1,X2)|~subset(esk274_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|~in(X4,esk272_0)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_4587, plain, (in(esk324_3(X1,X2,X3),cartesian_product2(X1,X2))|~in(X3,esk323_2(X1,X2))|esk317_1(X1)!=esk318_1(X1)), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4588, lemma, (X1=esk492_2(X3,X2)|X2=empty_set|subset(X4,esk491_1(X4))|~in(X1,X2)|~subset(esk492_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|~in(X4,esk490_0)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.92 cnf(i_0_4589, lemma, (X1=esk274_2(X3,X2)|X2=empty_set|in(esk273_1(X4),esk272_0)|~in(X1,X2)|~subset(esk274_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|~in(X4,esk272_0)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_4590, lemma, (apply(relation_composition(X2,X1),X3)=apply(X1,apply(X2,X3))|~relation(X1)|~function(X1)|~relation(X2)|~function(X2)|~in(X3,relation_dom(relation_composition(X2,X1)))), inference(split_conjunct,[status(thm)],[i_0_2138]), ['final']).
% 282.28/198.92 cnf(i_0_4591, plain, (in(subset_complement(X3,X1),X4)|~in(X1,X2)|~element(X1,powerset(X3))|X2!=complements_of_subsets(X3,X4)|~element(X2,powerset(powerset(X3)))|~element(X4,powerset(powerset(X3)))), inference(split_conjunct,[status(thm)],[i_0_1780]), ['final']).
% 282.28/198.92 cnf(i_0_4592, plain, (ordinal(esk421_3(X1,X2,X3))|in(esk418_2(X1,X2),X1)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4593, plain, (ordinal(esk421_3(X1,X2,X3))|in(esk417_2(X1,X2),X1)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4594, plain, (in(esk421_3(X1,X2,X3),X1)|ordinal(esk418_2(X1,X2))|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4595, plain, (in(esk421_3(X1,X2,X3),X1)|ordinal(esk417_2(X1,X2))|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4596, plain, (element(esk149_3(X1,X2,X3),the_carrier(X1))|relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1962]), ['final']).
% 282.28/198.92 cnf(i_0_4597, plain, (element(esk134_3(X1,X2,X3),the_carrier(X1))|relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1963]), ['final']).
% 282.28/198.92 cnf(i_0_4598, lemma, (X1=esk492_2(X3,X2)|X2=empty_set|in(esk491_1(X4),esk490_0)|~in(X1,X2)|~subset(esk492_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|~in(X4,esk490_0)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.92 cnf(i_0_4599, plain, (X1=X3|X1!=pair_first(X2)|X2!=unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))|X2!=unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2139, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4600, plain, (X1=X4|X1!=pair_second(X2)|X2!=unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))|X2!=unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2140, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4601, plain, (element(esk14_3(X1,X2,X3),the_carrier(X2))|is_often_in(X1,X2,X3)|empty_carrier(X2)|empty_carrier(X1)|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1610]), ['final']).
% 282.28/198.92 cnf(i_0_4602, plain, (point_neighbourhood(X3,X2,X1)|empty_carrier(X2)|~in(X1,interior(X2,X3))|~element(X3,powerset(the_carrier(X2)))|~element(X1,the_carrier(X2))|~topological_space(X2)|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2131]), ['final']).
% 282.28/198.92 cnf(i_0_4603, lemma, (closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|~closed_subset(esk529_2(X1,X2),X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2141]), ['final']).
% 282.28/198.92 cnf(i_0_4604, lemma, (in(set_difference(cast_as_carrier_subset(X1),X2),X3)|~in(X2,esk440_2(X1,X3))|~topological_space(X1)|~top_str(X1)|~element(X3,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_2051]), ['final']).
% 282.28/198.92 cnf(i_0_4605, plain, (in(esk33_3(X1,X2,X3),X3)|latt_element_smaller(X1,X2,X3)|empty_carrier(X1)|~element(X2,the_carrier(X1))|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1960]), ['final']).
% 282.28/198.92 cnf(i_0_4606, plain, (in(esk31_3(X1,X2,X3),X3)|latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|~element(X2,the_carrier(X1))|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1961]), ['final']).
% 282.28/198.92 cnf(i_0_4607, plain, (in(esk421_3(X1,X2,X3),X1)|esk416_2(X1,X2)=esk418_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4608, plain, (in(esk421_3(X1,X2,X3),X1)|esk415_2(X1,X2)=esk417_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4609, plain, (in(esk421_3(X1,X2,X3),X1)|esk414_2(X1,X2)=esk416_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4610, plain, (in(esk421_3(X1,X2,X3),X1)|esk414_2(X1,X2)=esk415_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4611, plain, (in(esk324_3(X1,X2,X3),cartesian_product2(X1,X2))|esk316_1(X1)=esk318_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4612, plain, (in(esk324_3(X1,X2,X3),cartesian_product2(X1,X2))|esk316_1(X1)=esk317_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4613, plain, (below(X1,X2,X3)|empty_carrier(X1)|join(X1,X2,X3)!=X3|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2142]), ['final']).
% 282.28/198.92 cnf(i_0_4614, plain, (join(X1,X2,X3)=X3|empty_carrier(X1)|~below(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2142]), ['final']).
% 282.28/198.92 cnf(i_0_4615, lemma, (in(esk255_1(X2),X2)|in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk258_1(X2))|X3!=unordered_pair(X1,X1)|~in(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2143, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4616, lemma, (in(esk255_1(X2),X2)|in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk258_1(X2))|X3!=unordered_pair(X1,X1)|~in(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2144, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4617, plain, (element(esk169_3(X1,X2,X3),the_carrier(X2))|empty_carrier(X2)|~in(X1,a_2_3_lattice3(X2,X3))|~lattice(X2)|~complete_latt_str(X2)|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2104]), ['final']).
% 282.28/198.92 cnf(i_0_4618, plain, (full_subrelstr(X1,X2)|~full_subnetstr(X1,X3,X2)|~subnetstr(X1,X3,X2)|~net_str(X2,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_2145]), ['final']).
% 282.28/198.92 cnf(i_0_4619, plain, (subrelstr(X1,X2)|~full_subnetstr(X1,X3,X2)|~subnetstr(X1,X3,X2)|~net_str(X2,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_2145]), ['final']).
% 282.28/198.92 cnf(i_0_4620, plain, (full_subnetstr(X1,X3,X2)|~full_subrelstr(X1,X2)|~subrelstr(X1,X2)|~subnetstr(X1,X3,X2)|~net_str(X2,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_2145]), ['final']).
% 282.28/198.92 cnf(i_0_4621, plain, (empty_carrier(X1)|element(unordered_pair_as_carrier_subset(X1,X2,X3),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2146]), ['final']).
% 282.28/198.92 cnf(i_0_4622, plain, (in(esk149_3(X1,X2,X3),X2)|relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1962]), ['final']).
% 282.28/198.92 cnf(i_0_4623, plain, (in(esk134_3(X1,X2,X3),X2)|relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1963]), ['final']).
% 282.28/198.92 cnf(i_0_4624, lemma, (element(esk529_2(X1,X2),powerset(the_carrier(X1)))|closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2141]), ['final']).
% 282.28/198.92 cnf(i_0_4625, lemma, (in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4))|~in(X3,X4)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2147, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4626, lemma, (in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4))|~in(X3,X4)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2148, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4627, plain, (esk322_1(X1)=unordered_pair(esk321_1(X1),esk321_1(X1))|in(esk325_3(X1,X2,X3),X1)|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_2149, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_4628, plain, (esk320_1(X1)=unordered_pair(esk319_1(X1),esk319_1(X1))|in(esk325_3(X1,X2,X3),X1)|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_2150, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_4629, plain, (in(X1,X3)|X2=empty_set|~in(X1,esk53_3(X2,X3,X1))|X3!=set_meet(X2)), inference(split_conjunct,[status(thm)],[i_0_2151]), ['final']).
% 282.28/198.92 cnf(i_0_4630, lemma, (in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2)|X3!=apply(X2,X1)|~function(X2)|~relation(X2)|~in(X1,relation_dom(X2))), inference(rw,[status(thm)],[i_0_2152, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4631, plain, (in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2)|X1!=apply(X2,X3)|~function(X2)|~relation(X2)|~in(X3,relation_dom(X2))), inference(rw,[status(thm)],[i_0_2153, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4632, plain, (element(relation_rng_as_subset(X2,X3,X1),powerset(X3))|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2154]), ['final']).
% 282.28/198.92 cnf(i_0_4633, plain, (element(relation_dom_as_subset(X2,X3,X1),powerset(X2))|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2155]), ['final']).
% 282.28/198.92 cnf(i_0_4634, lemma, (subset(X2,X3)|~below(boole_lattice(X1),X2,X3)|~element(X3,the_carrier(boole_lattice(X1)))|~element(X2,the_carrier(boole_lattice(X1)))), inference(split_conjunct,[status(thm)],[i_0_2156]), ['final']).
% 282.28/198.92 cnf(i_0_4635, lemma, (empty_carrier(X1)|empty_carrier(X2)|subset(lim_points_of_net(X1,X2),lim_points_of_net(X1,X3))|~topological_space(X1)|~top_str(X1)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~subnet(X3,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2157]), ['final']).
% 282.28/198.92 cnf(i_0_4636, plain, (in(X1,omega)|in(X2,esk330_1(X4))|X2!=X3|X1!=X2|esk329_1(X4)!=esk328_1(X4)|~ordinal(X4)|~ordinal(X1)|~in(X3,set_union2(X4,unordered_pair(X4,X4)))), inference(rw,[status(thm)],[i_0_2158, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_4637, plain, (esk343_3(X1,X2,X3)=X3|esk340_2(X1,X2)=esk338_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4638, plain, (esk343_3(X1,X2,X3)=X3|esk339_2(X1,X2)=esk337_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4639, plain, (esk343_3(X1,X2,X3)=X3|esk336_2(X1,X2)=esk338_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4640, plain, (esk343_3(X1,X2,X3)=X3|esk336_2(X1,X2)=esk337_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4641, plain, (esk342_3(X1,X2,X3)=X3|esk340_2(X1,X2)=esk338_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4642, plain, (esk342_3(X1,X2,X3)=X3|esk339_2(X1,X2)=esk337_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4643, plain, (esk342_3(X1,X2,X3)=X3|esk336_2(X1,X2)=esk338_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4644, plain, (esk342_3(X1,X2,X3)=X3|esk336_2(X1,X2)=esk337_2(X1,X2)|~in(X3,esk341_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4645, lemma, (relation_dom(esk487_2(X1,X2))=X2|in(esk485_2(X1,X2),X2)|esk483_2(X1,X2)!=esk484_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.92 cnf(i_0_4646, plain, (apply_binary(X1,X2,X3)=apply(X1,unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)))|~function(X1)|~relation(X1)), inference(rw,[status(thm)],[i_0_2159, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4647, plain, (esk282_3(X1,X2,X3)=esk283_3(X1,X2,X3)|esk276_2(X1,X2)=esk280_2(X1,X2)|empty(X1)|~in(X3,esk281_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4648, plain, (esk282_3(X1,X2,X3)=esk283_3(X1,X2,X3)|esk276_2(X1,X2)=esk279_2(X1,X2)|empty(X1)|~in(X3,esk281_2(X1,X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_892]), ['final']).
% 282.28/198.92 cnf(i_0_4649, plain, (ordinal(esk421_3(X1,X2,X3))|ordinal(esk418_2(X1,X2))|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4650, plain, (ordinal(esk421_3(X1,X2,X3))|ordinal(esk417_2(X1,X2))|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4651, lemma, (relation(esk487_2(X1,X2))|in(esk485_2(X1,X2),X2)|esk483_2(X1,X2)!=esk484_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.92 cnf(i_0_4652, lemma, (function(esk487_2(X1,X2))|in(esk485_2(X1,X2),X2)|esk483_2(X1,X2)!=esk484_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.92 cnf(i_0_4653, lemma, (X1=esk274_2(X3,X2)|X2=empty_set|~in(X1,X2)|~subset(esk274_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|esk273_1(X4)!=X4|~in(X4,esk272_0)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_4654, lemma, (empty_carrier(X1)|empty_carrier(X2)|is_a_cluster_point_of_netstr(X1,X2,X3)|~topological_space(X1)|~top_str(X1)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~element(X3,the_carrier(X1))|~in(X3,lim_points_of_net(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2160]), ['final']).
% 282.28/198.92 cnf(i_0_4655, plain, (element(esk116_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~directed_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2111]), ['final']).
% 282.28/198.92 cnf(i_0_4656, plain, (empty_carrier(X1)|element(meet_commut(X1,X2,X3),the_carrier(X1))|~meet_commutative(X1)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2161]), ['final']).
% 282.28/198.92 cnf(i_0_4657, plain, (empty_carrier(X1)|element(join_commut(X1,X2,X3),the_carrier(X1))|~join_commutative(X1)|~join_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2162]), ['final']).
% 282.28/198.92 cnf(i_0_4658, plain, (~empty(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_2163, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4659, lemma, (X1=esk492_2(X3,X2)|X2=empty_set|~in(X1,X2)|~subset(esk492_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|esk491_1(X4)!=X4|~in(X4,esk490_0)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.92 cnf(i_0_4660, plain, (ordinal(esk421_3(X1,X2,X3))|esk416_2(X1,X2)=esk418_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4661, plain, (ordinal(esk421_3(X1,X2,X3))|esk415_2(X1,X2)=esk417_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4662, plain, (ordinal(esk421_3(X1,X2,X3))|esk414_2(X1,X2)=esk416_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4663, plain, (ordinal(esk421_3(X1,X2,X3))|esk414_2(X1,X2)=esk415_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4664, lemma, (in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),esk258_1(X2))|X3!=unordered_pair(X1,X1)|esk257_1(X2)!=esk256_1(X2)|~in(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2164, c_0_882]), c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4665, lemma, (X1=X2|unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))!=unordered_pair(unordered_pair(X2,X4),unordered_pair(X2,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2165, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4666, lemma, (X1=X2|unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3))!=unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2166, c_0_1285]), c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4667, lemma, (relation_dom(esk487_2(X1,X2))=X2|in(esk485_2(X1,X2),X2)|in(esk482_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.92 cnf(i_0_4668, plain, (closed_subset(X3,X2)|~closed_subsets(X1,X2)|~element(X3,powerset(the_carrier(X2)))|~in(X3,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2167]), ['final']).
% 282.28/198.92 cnf(i_0_4669, plain, (open_subset(X3,X2)|~open_subsets(X1,X2)|~element(X3,powerset(the_carrier(X2)))|~in(X3,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2168]), ['final']).
% 282.28/198.92 cnf(i_0_4670, lemma, (X1=esk274_2(X3,X2)|X2=empty_set|element(esk272_0,powerset(powerset(esk270_0)))|~in(X1,X2)|~subset(esk274_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_4671, lemma, (relation(esk487_2(X1,X2))|in(esk485_2(X1,X2),X2)|in(esk482_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.92 cnf(i_0_4672, lemma, (function(esk487_2(X1,X2))|in(esk485_2(X1,X2),X2)|in(esk482_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_1855]), ['final']).
% 282.28/198.92 cnf(i_0_4673, lemma, (X1=esk492_2(X3,X2)|X2=empty_set|element(esk490_0,powerset(powerset(esk488_0)))|~in(X1,X2)|~subset(esk492_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.92 cnf(i_0_4674, lemma, (in(X1,relation_dom(relation_composition(X2,X3)))|~in(X1,relation_dom(X2))|~in(apply(X2,X1),relation_dom(X3))|~relation(X2)|~function(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_2169]), ['final']).
% 282.28/198.92 cnf(i_0_4675, lemma, (relation(esk262_2(X1,X2))|in(esk259_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920]), ['final']).
% 282.28/198.92 cnf(i_0_4676, lemma, (relation(esk262_2(X1,X2))|in(esk259_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920]), ['final']).
% 282.28/198.92 cnf(i_0_4677, lemma, (function(esk262_2(X1,X2))|in(esk259_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920]), ['final']).
% 282.28/198.92 cnf(i_0_4678, lemma, (function(esk262_2(X1,X2))|in(esk259_2(X1,X2),complements_of_subsets(the_carrier(X1),X2))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920]), ['final']).
% 282.28/198.92 cnf(i_0_4679, plain, (in(esk325_3(X1,X2,X3),X1)|in(esk321_1(X1),X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4680, plain, (in(esk325_3(X1,X2,X3),X1)|in(esk319_1(X1),X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4681, plain, (element(esk48_1(X1),powerset(the_carrier(X1)))|topological_space(X1)|~in(union_of_subsets(the_carrier(X1),esk46_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.92 cnf(i_0_4682, plain, (element(esk47_1(X1),powerset(the_carrier(X1)))|topological_space(X1)|~in(union_of_subsets(the_carrier(X1),esk46_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.92 cnf(i_0_4683, plain, (empty_carrier(X1)|element(join(X1,X2,X3),the_carrier(X1))|~join_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2170]), ['final']).
% 282.28/198.92 cnf(i_0_4684, plain, (empty_carrier(X1)|element(meet(X1,X2,X3),the_carrier(X1))|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2171]), ['final']).
% 282.28/198.92 cnf(i_0_4685, lemma, (meet(boole_lattice(X1),X2,X3)=set_difference(X2,set_difference(X2,X3))|~element(X3,the_carrier(boole_lattice(X1)))|~element(X2,the_carrier(boole_lattice(X1)))), inference(rw,[status(thm)],[i_0_2172, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_4686, lemma, (in(X1,esk531_2(X2,X3))|~closed_subset(X1,X2)|~subset(X3,X1)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2173]), ['final']).
% 282.28/198.92 cnf(i_0_4687, lemma, (empty_carrier(X1)|point_neighbourhood(X2,X1,X3)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~element(X3,the_carrier(X1))|~open_subset(X2,X1)|~in(X3,X2)), inference(split_conjunct,[status(thm)],[i_0_2174]), ['final']).
% 282.28/198.92 cnf(i_0_4688, lemma, (is_often_in(X1,X2,X4)|empty_carrier(X2)|empty_carrier(X1)|~is_often_in(X1,X2,X3)|~subset(X3,X4)|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2175]), ['final']).
% 282.28/198.92 cnf(i_0_4689, lemma, (is_eventually_in(X1,X2,X4)|empty_carrier(X2)|empty_carrier(X1)|~is_eventually_in(X1,X2,X3)|~subset(X3,X4)|~net_str(X2,X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2175]), ['final']).
% 282.28/198.92 cnf(i_0_4690, plain, (apply_binary(the_L_meet(X1),X2,X3)=subset_intersection2(X4,X2,X3)|~element(X3,powerset(X4))|~element(X2,powerset(X4))|X1!=boole_lattice(X4)|~strict_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1770]), ['final']).
% 282.28/198.92 cnf(i_0_4691, plain, (apply_binary(the_L_join(X1),X2,X3)=subset_union2(X4,X2,X3)|~element(X3,powerset(X4))|~element(X2,powerset(X4))|X1!=boole_lattice(X4)|~strict_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1770]), ['final']).
% 282.28/198.92 cnf(i_0_4692, plain, (subset(X1,X2)|element(esk340_2(X3,X1),powerset(the_carrier(X3)))|~in(X2,esk341_2(X3,X1))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4693, plain, (subset(X1,X2)|element(esk339_2(X3,X1),powerset(the_carrier(X3)))|~in(X2,esk341_2(X3,X1))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4694, plain, (element(esk168_3(X1,X2,X3),the_carrier(X2))|empty_carrier(X2)|~in(X1,a_2_2_lattice3(X2,X3))|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2126]), ['final']).
% 282.28/198.92 cnf(i_0_4695, lemma, (empty_carrier(X2)|~in(X1,subset_complement(the_carrier(X2),X3))|~in(X1,X3)|~element(X1,the_carrier(X2))|~element(X3,powerset(the_carrier(X2)))|~one_sorted_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2176]), ['final']).
% 282.28/198.92 cnf(i_0_4696, lemma, (in(X1,powerset(the_carrier(X2)))|~in(X1,esk440_2(X2,X3))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))), inference(split_conjunct,[status(thm)],[i_0_2051]), ['final']).
% 282.28/198.92 cnf(i_0_4697, plain, (strict_net_str(netstr_restr_to_element(X1,X2,X3),X1)|empty_carrier(X1)|empty_carrier(X2)|~one_sorted_str(X1)|~directed_relstr(X2)|~net_str(X2,X1)|~element(X3,the_carrier(X2))), inference(split_conjunct,[status(thm)],[i_0_2097]), ['final']).
% 282.28/198.92 cnf(i_0_4698, plain, (empty_carrier(X1)|empty_carrier(X2)|element(apply_netmap(X1,X2,X3),the_carrier(X1))|~one_sorted_str(X1)|~net_str(X2,X1)|~element(X3,the_carrier(X2))), inference(split_conjunct,[status(thm)],[i_0_2177]), ['final']).
% 282.28/198.92 cnf(i_0_4699, plain, (full_subnetstr(preimage_subnetstr(X1,X2,X3),X1,X2)|~one_sorted_str(X1)|~transitive_relstr(X2)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2178]), ['final']).
% 282.28/198.92 cnf(i_0_4700, plain, (in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)|X4!=fiber(X3,X2)|~relation(X3)|~in(X1,X4)), inference(rw,[status(thm)],[i_0_2179, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4701, lemma, (in(esk504_3(X1,X2,X3),relation_rng(X3))|~in(X1,relation_inverse_image(X3,X2))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_953]), ['final']).
% 282.28/198.92 cnf(i_0_4702, lemma, (in(esk501_3(X1,X2,X3),relation_dom(X3))|~in(X1,relation_image(X3,X2))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_917]), ['final']).
% 282.28/198.92 cnf(i_0_4703, plain, (in(esk325_3(X1,X2,X3),X1)|~in(X3,esk323_2(X1,X2))|esk317_1(X1)!=esk318_1(X1)), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4704, plain, (ordinal(esk552_3(X1,X2,X3))|~epred2_3(X3,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1555]), ['final']).
% 282.28/198.92 cnf(i_0_4705, plain, (ordinal(esk550_3(X1,X2,X3))|~epred2_3(X3,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1555]), ['final']).
% 282.28/198.92 cnf(i_0_4706, lemma, (in(esk529_2(X1,X2),X2)|closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2141]), ['final']).
% 282.28/198.92 cnf(i_0_4707, lemma, (X1=esk470_3(X2,X3,X1)|in(esk467_2(X2,X3),X2)|in(esk464_2(X2,X3),esk466_2(X2,X3))|empty(X2)|~in(X1,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4708, lemma, (X1=esk470_3(X2,X3,X1)|in(esk467_2(X2,X3),X2)|in(esk463_2(X2,X3),esk465_2(X2,X3))|empty(X2)|~in(X1,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4709, plain, (in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,X3)),X1)|~relation(X1)|~in(X3,X2)|~is_reflexive_in(X1,X2)), inference(rw,[status(thm)],[i_0_2180, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4710, lemma, (in(X1,omega)|in(X2,esk433_1(X3))|X1!=X2|~ordinal(X3)|~ordinal(X1)|~in(X2,set_union2(X3,unordered_pair(X3,X3)))), inference(rw,[status(thm)],[i_0_2181, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_4711, plain, (empty(X2)|empty(X3)|~empty(X1)|~function(X1)|~quasi_total(X1,X2,X3)|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2113]), ['final']).
% 282.28/198.92 cnf(i_0_4712, lemma, (in(bottom_of_relstr(X1),X2)|proper_element(X2,powerset(the_carrier(X1)))|empty(X2)|empty_carrier(X1)|~filtered_subset(X2,X1)|~upper_relstr_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2135]), ['final']).
% 282.28/198.92 cnf(i_0_4713, lemma, (closed_subset(X1,X2)|~in(X1,esk531_2(X2,X3))|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~topological_space(X2)|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2173]), ['final']).
% 282.28/198.92 cnf(i_0_4714, lemma, (subset(X1,X2)|~in(X2,esk531_2(X3,X1))|~element(X2,powerset(the_carrier(X3)))|~element(X1,powerset(the_carrier(X3)))|~topological_space(X3)|~top_str(X3)), inference(split_conjunct,[status(thm)],[i_0_2173]), ['final']).
% 282.28/198.92 cnf(i_0_4715, lemma, (subset(X1,X2)|~in(X2,esk494_2(X3,X1))|~element(X2,powerset(the_carrier(X3)))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))), inference(split_conjunct,[status(thm)],[i_0_1990]), ['final']).
% 282.28/198.92 cnf(i_0_4716, plain, (in(union_of_subsets(the_carrier(X2),X1),the_topology(X2))|~element(X1,powerset(powerset(the_carrier(X2))))|~subset(X1,the_topology(X2))|~topological_space(X2)|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.92 cnf(i_0_4717, plain, (interior(X1,X2)=subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2182]), ['final']).
% 282.28/198.92 cnf(i_0_4718, lemma, (X1=esk274_2(X3,X2)|X2=empty_set|in(esk270_0,omega)|~in(X1,X2)|~subset(esk274_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_4719, lemma, (empty_carrier(X1)|empty_carrier(X2)|is_often_in(X1,X2,X3)|~one_sorted_str(X1)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)|~is_eventually_in(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2183]), ['final']).
% 282.28/198.92 cnf(i_0_4720, lemma, (closed_subsets(X2,X1)|~open_subsets(complements_of_subsets(the_carrier(X1),X2),X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2184]), ['final']).
% 282.28/198.92 cnf(i_0_4721, lemma, (open_subsets(X2,X1)|~closed_subsets(complements_of_subsets(the_carrier(X1),X2),X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2185]), ['final']).
% 282.28/198.92 cnf(i_0_4722, lemma, (X1=esk492_2(X3,X2)|X2=empty_set|in(esk488_0,omega)|~in(X1,X2)|~subset(esk492_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.92 cnf(i_0_4723, plain, (in(esk325_3(X1,X2,X3),X1)|esk316_1(X1)=esk318_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4724, plain, (in(esk325_3(X1,X2,X3),X1)|esk316_1(X1)=esk317_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4725, lemma, (subset(set_difference(X1,set_difference(X1,X3)),set_difference(X2,set_difference(X2,X3)))|~subset(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2186, c_0_1814]), c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_4726, plain, (empty_carrier(X1)|join_commut(X1,X2,X3)=join(X1,X2,X3)|~join_commutative(X1)|~join_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2187]), ['final']).
% 282.28/198.92 cnf(i_0_4727, plain, (empty_carrier(X1)|meet_commut(X1,X2,X3)=meet(X1,X2,X3)|~meet_commutative(X1)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2188]), ['final']).
% 282.28/198.92 cnf(i_0_4728, plain, (empty_carrier(X1)|meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)|~meet_commutative(X1)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2189]), ['final']).
% 282.28/198.92 cnf(i_0_4729, plain, (empty_carrier(X1)|join_commut(X1,X2,X3)=join_commut(X1,X3,X2)|~join_commutative(X1)|~join_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2190]), ['final']).
% 282.28/198.92 cnf(i_0_4730, plain, (strict_net_str(netstr_restr_to_element(X1,X2,X3),X1)|empty_carrier(X1)|empty_carrier(X2)|~one_sorted_str(X1)|~net_str(X2,X1)|~element(X3,the_carrier(X2))), inference(split_conjunct,[status(thm)],[i_0_2191]), ['final']).
% 282.28/198.92 cnf(i_0_4731, plain, (net_str(netstr_restr_to_element(X1,X2,X3),X1)|empty_carrier(X1)|empty_carrier(X2)|~one_sorted_str(X1)|~net_str(X2,X1)|~element(X3,the_carrier(X2))), inference(split_conjunct,[status(thm)],[i_0_2191]), ['final']).
% 282.28/198.92 cnf(i_0_4732, plain, (element(subset_difference(X2,X1,X3),powerset(X2))|~element(X1,powerset(X2))|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2192]), ['final']).
% 282.28/198.92 cnf(i_0_4733, plain, (element(subset_intersection2(X2,X1,X3),powerset(X2))|~element(X1,powerset(X2))|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2193]), ['final']).
% 282.28/198.92 cnf(i_0_4734, plain, (element(subset_union2(X2,X1,X3),powerset(X2))|~element(X1,powerset(X2))|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2194]), ['final']).
% 282.28/198.92 cnf(i_0_4735, lemma, (in(esk504_3(X1,X2,X3),X2)|~in(X1,relation_inverse_image(X3,X2))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_953]), ['final']).
% 282.28/198.92 cnf(i_0_4736, lemma, (in(esk501_3(X1,X2,X3),X2)|~in(X1,relation_image(X3,X2))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_917]), ['final']).
% 282.28/198.92 cnf(i_0_4737, lemma, (in(esk457_3(X1,X2,X3),X1)|~in(X3,esk456_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_1025]), ['final']).
% 282.28/198.92 cnf(i_0_4738, plain, (in(esk48_1(X1),the_topology(X1))|topological_space(X1)|~in(union_of_subsets(the_carrier(X1),esk46_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.92 cnf(i_0_4739, plain, (in(esk47_1(X1),the_topology(X1))|topological_space(X1)|~in(union_of_subsets(the_carrier(X1),esk46_1(X1)),the_topology(X1))|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.92 cnf(i_0_4740, plain, (subnetstr(preimage_subnetstr(X1,X2,X3),X1,X2)|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2195]), ['final']).
% 282.28/198.92 cnf(i_0_4741, lemma, (in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,X2)),X1)|~relation(X1)|~reflexive(X1)|~in(X2,relation_field(X1))), inference(rw,[status(thm)],[i_0_2196, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4742, plain, (subset(esk88_2(X1,X2),X2)|~is_a_cover_of_carrier(X1,X2)|~open_subsets(X2,X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~compact_top_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2128]), ['final']).
% 282.28/198.92 cnf(i_0_4743, plain, (is_a_cover_of_carrier(X1,esk88_2(X1,X2))|~is_a_cover_of_carrier(X1,X2)|~open_subsets(X2,X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~compact_top_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2128]), ['final']).
% 282.28/198.92 cnf(i_0_4744, plain, (in(X5,X6)|X6!=cartesian_product2(X2,X4)|X5!=unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1))|~in(X3,X4)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2197, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4745, plain, (is_well_founded_in(X2,X3)|~in(X1,esk96_2(X2,X3))|~disjoint(fiber(X2,X1),esk96_2(X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2003]), ['final']).
% 282.28/198.92 cnf(i_0_4746, lemma, (in(apply(X1,X2),relation_dom(X3))|~in(X2,relation_dom(relation_composition(X1,X3)))|~relation(X1)|~function(X1)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_2169]), ['final']).
% 282.28/198.92 cnf(i_0_4747, plain, (in(X3,a_2_3_lattice3(X2,X4))|empty_carrier(X2)|~element(X1,the_carrier(X2))|X3!=X1|~latt_set_smaller(X2,X1,X4)|~lattice(X2)|~complete_latt_str(X2)|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2104]), ['final']).
% 282.28/198.92 cnf(i_0_4748, plain, (subset(X1,X2)|~in(X2,esk341_2(X3,X1))|esk337_2(X3,X1)!=esk338_2(X3,X1)|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4749, lemma, (element(esk496_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_2052]), ['final']).
% 282.28/198.92 cnf(i_0_4750, lemma, (below(boole_lattice(X3),X1,X2)|~subset(X1,X2)|~element(X2,the_carrier(boole_lattice(X3)))|~element(X1,the_carrier(boole_lattice(X3)))), inference(split_conjunct,[status(thm)],[i_0_2156]), ['final']).
% 282.28/198.92 cnf(i_0_4751, lemma, (X1=esk274_2(X3,X2)|X2=empty_set|being_limit_ordinal(esk270_0)|~in(X1,X2)|~subset(esk274_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_4752, lemma, (X1=esk274_2(X3,X2)|X2=empty_set|ordinal(esk270_0)|~in(X1,X2)|~subset(esk274_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_4753, plain, (in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X4)|X1!=X3|X4!=identity_relation(X2)|~relation(X4)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2198, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4754, plain, (empty_carrier(X1)|unordered_pair_as_carrier_subset(X1,X2,X3)=unordered_pair_as_carrier_subset(X1,X3,X2)|~one_sorted_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2199]), ['final']).
% 282.28/198.92 cnf(i_0_4755, lemma, (X1=esk492_2(X3,X2)|X2=empty_set|ordinal(esk488_0)|~in(X1,X2)|~subset(esk492_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.92 cnf(i_0_4756, lemma, (esk439_3(X1,X2,X3)=X3|~in(X3,esk438_2(X1,X2))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2067]), ['final']).
% 282.28/198.92 cnf(i_0_4757, lemma, (in(esk431_3(X1,X2,X3),X1)|~in(X3,esk430_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_936]), ['final']).
% 282.28/198.92 cnf(i_0_4758, lemma, (X1=esk274_2(X3,X2)|X2=empty_set|~in(X1,X2)|~subset(esk274_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|esk272_0!=empty_set|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_4759, lemma, (X1=esk274_2(X3,X2)|X2=empty_set|~in(X1,X2)|~subset(esk274_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|esk270_0!=empty_set|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_4760, plain, (subset(X1,X2)|closed_subset(esk340_2(X3,X1),X3)|~in(X2,esk341_2(X3,X1))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4761, plain, (subset(X1,X2)|closed_subset(esk339_2(X3,X1),X3)|~in(X2,esk341_2(X3,X1))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4762, plain, (subset(X1,X2)|subset(X1,esk338_2(X3,X1))|~in(X2,esk341_2(X3,X1))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4763, plain, (subset(X1,X2)|subset(X1,esk337_2(X3,X1))|~in(X2,esk341_2(X3,X1))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4764, lemma, (X1=esk492_2(X3,X2)|X2=empty_set|~in(X1,X2)|~subset(esk492_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~in(X3,omega)|~ordinal(X3)|esk490_0!=empty_set), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.92 cnf(i_0_4765, lemma, (apply(relation_dom_restriction(X1,X3),X2)=apply(X1,X2)|~relation(X1)|~function(X1)|~in(X2,relation_dom(relation_dom_restriction(X1,X3)))), inference(split_conjunct,[status(thm)],[i_0_2200]), ['final']).
% 282.28/198.92 cnf(i_0_4766, lemma, (ordinal(esk457_3(X1,X2,X3))|~in(X3,esk456_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_1025]), ['final']).
% 282.28/198.92 cnf(i_0_4767, plain, (finite(esk88_2(X1,X2))|~is_a_cover_of_carrier(X1,X2)|~open_subsets(X2,X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~compact_top_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2128]), ['final']).
% 282.28/198.92 cnf(i_0_4768, plain, (related(X1,esk66_2(X1,X2),esk67_2(X1,X2))|upper_relstr_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2065]), ['final']).
% 282.28/198.92 cnf(i_0_4769, lemma, (empty_carrier(X1)|~compact_top_space(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~centered(X2)|~closed_subsets(X2,X1)|meet_of_subsets(the_carrier(X1),X2)!=empty_set|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2201]), ['final']).
% 282.28/198.92 cnf(i_0_4770, plain, (X1=empty_set|X2=empty_set|~quasi_total(X1,X2,X3)|X3!=empty_set|~relation_of2_as_subset(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2129]), ['final']).
% 282.28/198.92 cnf(i_0_4771, lemma, (join(boole_lattice(X1),X2,X3)=set_union2(X2,X3)|~element(X3,the_carrier(boole_lattice(X1)))|~element(X2,the_carrier(boole_lattice(X1)))), inference(split_conjunct,[status(thm)],[i_0_1039]), ['final']).
% 282.28/198.92 cnf(i_0_4772, lemma, (relation_isomorphism(X2,X1,function_inverse(X3))|~relation(X1)|~relation(X2)|~relation(X3)|~function(X3)|~relation_isomorphism(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2202]), ['final']).
% 282.28/198.92 cnf(i_0_4773, plain, (in(esk95_3(X1,X2,X3),X3)|X3=empty_set|~subset(X3,X2)|~is_well_founded_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2003]), ['final']).
% 282.28/198.92 cnf(i_0_4774, plain, (closed_subsets(X2,X1)|~closed_subset(esk76_2(X1,X2),X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2167]), ['final']).
% 282.28/198.92 cnf(i_0_4775, plain, (open_subsets(X2,X1)|~open_subset(esk57_2(X1,X2),X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2168]), ['final']).
% 282.28/198.92 cnf(i_0_4776, lemma, (X1=esk470_3(X2,X3,X1)|in(esk467_2(X2,X3),X2)|empty(X2)|~in(X1,X2)|esk463_2(X2,X3)!=esk464_2(X2,X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4777, plain, (X2=set_meet(X1)|X1=empty_set|~in(esk54_2(X1,X2),esk55_2(X1,X2))|~in(esk54_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[i_0_2151]), ['final']).
% 282.28/198.92 cnf(i_0_4778, plain, (in(X3,a_2_2_lattice3(X2,X4))|empty_carrier(X2)|~element(X1,the_carrier(X2))|X3!=X1|~latt_set_smaller(X2,X1,X4)|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2126]), ['final']).
% 282.28/198.92 cnf(i_0_4779, lemma, (in(X1,X2)|~ordinal(X2)|~ordinal(X1)|~ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)), inference(rw,[status(thm)],[i_0_2203, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_4780, plain, (subset_intersection2(X2,X1,X3)=subset_intersection2(X2,X3,X1)|~element(X1,powerset(X2))|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2204]), ['final']).
% 282.28/198.92 cnf(i_0_4781, plain, (subset_union2(X2,X1,X3)=subset_union2(X2,X3,X1)|~element(X1,powerset(X2))|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2205]), ['final']).
% 282.28/198.92 cnf(i_0_4782, lemma, (relation_of2_as_subset(X1,X2,X4)|~relation_of2_as_subset(X1,X2,X3)|~subset(relation_rng(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_2206]), ['final']).
% 282.28/198.92 cnf(i_0_4783, lemma, (X1=empty_set|subset_difference(X2,X2,union_of_subsets(X2,X1))=meet_of_subsets(X2,complements_of_subsets(X2,X1))|~element(X1,powerset(powerset(X2)))), inference(rw,[status(thm)],[i_0_2207, c_0_2208]), ['final']).
% 282.28/198.92 cnf(i_0_4784, lemma, (X1=empty_set|union_of_subsets(X2,complements_of_subsets(X2,X1))=subset_difference(X2,X2,meet_of_subsets(X2,X1))|~element(X1,powerset(powerset(X2)))), inference(rw,[status(thm)],[i_0_2209, c_0_2208]), ['final']).
% 282.28/198.92 cnf(i_0_4785, plain, (in(esk109_3(X1,X2,X3),relation_dom(X1))|~in(X3,X2)|X2!=relation_rng(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2210]), ['final']).
% 282.28/198.92 cnf(i_0_4786, lemma, (closed_subsets(complements_of_subsets(the_carrier(X2),X1),X2)|~open_subsets(X1,X2)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2185]), ['final']).
% 282.28/198.92 cnf(i_0_4787, lemma, (open_subsets(complements_of_subsets(the_carrier(X2),X1),X2)|~closed_subsets(X1,X2)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2184]), ['final']).
% 282.28/198.92 cnf(i_0_4788, plain, (subset(X1,X2)|esk340_2(X3,X1)=esk338_2(X3,X1)|~in(X2,esk341_2(X3,X1))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4789, plain, (subset(X1,X2)|esk339_2(X3,X1)=esk337_2(X3,X1)|~in(X2,esk341_2(X3,X1))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4790, plain, (subset(X1,X2)|esk336_2(X3,X1)=esk338_2(X3,X1)|~in(X2,esk341_2(X3,X1))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4791, plain, (subset(X1,X2)|esk336_2(X3,X1)=esk337_2(X3,X1)|~in(X2,esk341_2(X3,X1))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))), inference(split_conjunct,[status(thm)],[i_0_1980]), ['final']).
% 282.28/198.92 cnf(i_0_4792, lemma, (relation(esk267_2(X1,X2))|esk265_2(X1,X2)!=esk266_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922]), ['final']).
% 282.28/198.92 cnf(i_0_4793, lemma, (relation(esk262_2(X1,X2))|esk260_2(X1,X2)!=esk261_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920]), ['final']).
% 282.28/198.92 cnf(i_0_4794, lemma, (function(esk267_2(X1,X2))|esk265_2(X1,X2)!=esk266_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922]), ['final']).
% 282.28/198.92 cnf(i_0_4795, lemma, (function(esk262_2(X1,X2))|esk260_2(X1,X2)!=esk261_2(X1,X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_920]), ['final']).
% 282.28/198.92 cnf(i_0_4796, lemma, (X1=esk470_3(X2,X3,X1)|in(esk467_2(X2,X3),X2)|in(esk462_2(X2,X3),X2)|empty(X2)|~in(X1,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4797, plain, (in(esk331_2(X1,X2),set_union2(X1,unordered_pair(X1,X1)))|esk329_1(X1)!=esk328_1(X1)|~ordinal(X1)|~in(X2,esk330_1(X1))), inference(rw,[status(thm)],[i_0_2211, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_4798, plain, (esk420_3(X1,X2,X3)=X3|~in(X3,esk419_2(X1,X2))|esk415_2(X1,X2)!=esk416_2(X1,X2)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4799, plain, (X1=esk421_3(X2,X3,X1)|~in(X1,esk419_2(X2,X3))|esk415_2(X2,X3)!=esk416_2(X2,X3)|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4800, plain, (empty_carrier(X1)|element(X3,powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~element(X2,the_carrier(X1))|~point_neighbourhood(X3,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2212]), ['final']).
% 282.28/198.92 cnf(i_0_4801, plain, (element(esk76_2(X1,X2),powerset(the_carrier(X1)))|closed_subsets(X2,X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2167]), ['final']).
% 282.28/198.92 cnf(i_0_4802, plain, (element(esk57_2(X1,X2),powerset(the_carrier(X1)))|open_subsets(X2,X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2168]), ['final']).
% 282.28/198.92 cnf(i_0_4803, lemma, (finite(X2)|~finite(complements_of_subsets(the_carrier(X1),X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2213]), ['final']).
% 282.28/198.92 cnf(i_0_4804, lemma, (relation(esk267_2(X1,X2))|in(esk264_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922]), ['final']).
% 282.28/198.92 cnf(i_0_4805, lemma, (relation(esk267_2(X1,X2))|in(esk264_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922]), ['final']).
% 282.28/198.92 cnf(i_0_4806, lemma, (function(esk267_2(X1,X2))|in(esk264_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922]), ['final']).
% 282.28/198.92 cnf(i_0_4807, lemma, (function(esk267_2(X1,X2))|in(esk264_2(X1,X2),X2)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))), inference(split_conjunct,[status(thm)],[i_0_922]), ['final']).
% 282.28/198.92 cnf(i_0_4808, lemma, (~disjoint(X2,X3)|~in(X1,set_difference(X2,set_difference(X2,X3)))), inference(rw,[status(thm)],[i_0_2214, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_4809, plain, (X1=apply(X2,esk109_3(X2,X3,X1))|~in(X1,X3)|X3!=relation_rng(X2)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_2210]), ['final']).
% 282.28/198.92 cnf(i_0_4810, plain, (esk420_3(X1,X2,X3)=X3|in(esk418_2(X1,X2),X1)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4811, plain, (esk420_3(X1,X2,X3)=X3|in(esk417_2(X1,X2),X1)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4812, plain, (X1=esk421_3(X2,X3,X1)|in(esk418_2(X2,X3),X2)|~in(X1,esk419_2(X2,X3))|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4813, plain, (X1=esk421_3(X2,X3,X1)|in(esk417_2(X2,X3),X2)|~in(X1,esk419_2(X2,X3))|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4814, plain, (compact_top_space(X2)|~element(X1,powerset(powerset(the_carrier(X2))))|~subset(X1,esk89_1(X2))|~is_a_cover_of_carrier(X2,X1)|~finite(X1)|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2128]), ['final']).
% 282.28/198.92 cnf(i_0_4815, lemma, (relation_of2_as_subset(X1,X2,X4)|~relation_of2_as_subset(X1,X2,X3)|~subset(X3,X4)), inference(split_conjunct,[status(thm)],[i_0_2215]), ['final']).
% 282.28/198.92 cnf(i_0_4816, plain, (X1=esk547_1(X2)|X2=empty_set|subset(X3,esk545_1(X3))|epred1_0|~in(X1,X2)|~subset(esk547_1(X2),X1)|~element(X2,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|~in(X3,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_4817, lemma, (in(esk274_2(X1,X2),X2)|X2=empty_set|subset(X3,esk273_1(X3))|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|~in(X3,esk272_0)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_4818, lemma, (in(X1,relation_dom(X2))|~in(X1,relation_dom(relation_composition(X2,X3)))|~relation(X2)|~function(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_2169]), ['final']).
% 282.28/198.92 cnf(i_0_4819, lemma, (open_subset(X2,X1)|interior(X1,X2)!=X2|~element(X3,powerset(the_carrier(X4)))|~element(X2,powerset(the_carrier(X1)))|~top_str(X4)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2216]), ['final']).
% 282.28/198.92 cnf(i_0_4820, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk456_2(X3,X2))), inference(rw,[status(thm)],[i_0_2217, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_4821, lemma, (esk535_2(X1,X2)=apply(X1,esk536_2(X1,X2))|esk534_2(X1,X2)=apply(X2,esk533_2(X1,X2))|X2=function_inverse(X1)|relation_dom(X2)!=relation_rng(X1)|~relation(X2)|~function(X2)|~one_to_one(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 282.28/198.92 cnf(i_0_4822, lemma, (in(X1,X2)|in(X1,subset_complement(the_carrier(X3),X2))|empty_carrier(X3)|~element(X1,the_carrier(X3))|~element(X2,powerset(the_carrier(X3)))|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_2176]), ['final']).
% 282.28/198.92 cnf(i_0_4823, lemma, (interior(X2,X1)=X1|~open_subset(X1,X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X4)))|~top_str(X2)|~topological_space(X4)|~top_str(X4)), inference(split_conjunct,[status(thm)],[i_0_2216]), ['final']).
% 282.28/198.92 cnf(i_0_4824, lemma, (in(X1,powerset(the_carrier(X2)))|~in(X1,esk438_2(X2,X3))|~topological_space(X2)|~top_str(X2)|~element(X3,powerset(the_carrier(X2)))), inference(split_conjunct,[status(thm)],[i_0_2067]), ['final']).
% 282.28/198.92 cnf(i_0_4825, plain, (X1=esk547_1(X2)|X2=empty_set|in(esk545_1(X3),esk544_0)|epred1_0|~in(X1,X2)|~subset(esk547_1(X2),X1)|~element(X2,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|~in(X3,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_4826, lemma, (in(esk492_2(X1,X2),X2)|X2=empty_set|subset(X3,esk491_1(X3))|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|~in(X3,esk490_0)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.92 cnf(i_0_4827, lemma, (X1=esk507_2(X3,X2)|X2=empty_set|~in(X1,X2)|~subset(esk507_2(X3,X2),X1)|~element(X2,powerset(powerset(X3)))|~finite(X3)), inference(split_conjunct,[status(thm)],[i_0_2218]), ['final']).
% 282.28/198.92 cnf(i_0_4828, lemma, (in(esk274_2(X1,X2),X2)|X2=empty_set|in(esk273_1(X3),esk272_0)|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|~in(X3,esk272_0)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_4829, lemma, (in(esk492_2(X1,X2),X2)|X2=empty_set|in(esk491_1(X3),esk490_0)|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|~in(X3,esk490_0)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.92 cnf(i_0_4830, plain, (X2=relation_rng(X1)|~in(esk110_2(X1,X2),X2)|~in(X3,relation_dom(X1))|esk110_2(X1,X2)!=apply(X1,X3)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2210]), ['final']).
% 282.28/198.92 cnf(i_0_4831, plain, (subset_intersection2(X2,X1,X3)=set_difference(X1,set_difference(X1,X3))|~element(X3,powerset(X2))|~element(X1,powerset(X2))), inference(rw,[status(thm)],[i_0_2219, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_4832, lemma, (X1=esk470_3(X2,X3,X1)|in(esk467_2(X2,X3),X2)|esk462_2(X2,X3)=esk466_2(X2,X3)|empty(X2)|~in(X1,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4833, lemma, (X1=esk470_3(X2,X3,X1)|in(esk467_2(X2,X3),X2)|esk462_2(X2,X3)=esk465_2(X2,X3)|empty(X2)|~in(X1,X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4834, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2220]), ['final']).
% 282.28/198.92 cnf(i_0_4835, plain, (strict_net_str(preimage_subnetstr(X1,X2,X3),X1)|~one_sorted_str(X1)|~transitive_relstr(X2)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2178]), ['final']).
% 282.28/198.92 cnf(i_0_4836, plain, (below_refl(X1,esk166_2(X2,X1),esk167_2(X2,X1))|empty_carrier(X1)|~in(X2,a_1_0_filter_1(X1))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1828]), ['final']).
% 282.28/198.92 cnf(i_0_4837, plain, (esk420_3(X1,X2,X3)=X3|ordinal(esk418_2(X1,X2))|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4838, plain, (esk420_3(X1,X2,X3)=X3|ordinal(esk417_2(X1,X2))|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4839, plain, (X1=esk421_3(X2,X3,X1)|ordinal(esk418_2(X2,X3))|~in(X1,esk419_2(X2,X3))|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4840, plain, (X1=esk421_3(X2,X3,X1)|ordinal(esk417_2(X2,X3))|~in(X1,esk419_2(X2,X3))|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4841, lemma, (closed_subset(X2,X1)|~open_subset(subset_complement(the_carrier(X1),X2),X1)|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2221]), ['final']).
% 282.28/198.92 cnf(i_0_4842, lemma, (open_subset(X2,X1)|~closed_subset(subset_complement(the_carrier(X1),X2),X1)|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2222]), ['final']).
% 282.28/198.92 cnf(i_0_4843, plain, (element(esk48_1(X1),powerset(the_carrier(X1)))|element(esk46_1(X1),powerset(powerset(the_carrier(X1))))|topological_space(X1)|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.92 cnf(i_0_4844, plain, (element(esk47_1(X1),powerset(the_carrier(X1)))|element(esk46_1(X1),powerset(powerset(the_carrier(X1))))|topological_space(X1)|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.92 cnf(i_0_4845, lemma, (esk535_2(X1,X2)=apply(X1,esk536_2(X1,X2))|in(esk533_2(X1,X2),relation_rng(X1))|X2=function_inverse(X1)|relation_dom(X2)!=relation_rng(X1)|~relation(X2)|~function(X2)|~one_to_one(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 282.28/198.92 cnf(i_0_4846, lemma, (in(esk536_2(X1,X2),relation_dom(X1))|esk534_2(X1,X2)=apply(X2,esk533_2(X1,X2))|X2=function_inverse(X1)|relation_dom(X2)!=relation_rng(X1)|~relation(X2)|~function(X2)|~one_to_one(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 282.28/198.92 cnf(i_0_4847, plain, (X2=union(X1)|~in(esk104_2(X1,X2),X2)|~in(esk104_2(X1,X2),X3)|~in(X3,X1)), inference(split_conjunct,[status(thm)],[i_0_2223]), ['final']).
% 282.28/198.92 cnf(i_0_4848, plain, (esk420_3(X1,X2,X3)=X3|esk416_2(X1,X2)=esk418_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4849, plain, (esk420_3(X1,X2,X3)=X3|esk415_2(X1,X2)=esk417_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4850, plain, (esk420_3(X1,X2,X3)=X3|esk414_2(X1,X2)=esk416_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4851, plain, (esk420_3(X1,X2,X3)=X3|esk414_2(X1,X2)=esk415_2(X1,X2)|~in(X3,esk419_2(X1,X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4852, plain, (X1=esk421_3(X2,X3,X1)|esk416_2(X2,X3)=esk418_2(X2,X3)|~in(X1,esk419_2(X2,X3))|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4853, plain, (X1=esk421_3(X2,X3,X1)|esk415_2(X2,X3)=esk417_2(X2,X3)|~in(X1,esk419_2(X2,X3))|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4854, plain, (X1=esk421_3(X2,X3,X1)|esk414_2(X2,X3)=esk416_2(X2,X3)|~in(X1,esk419_2(X2,X3))|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4855, plain, (X1=esk421_3(X2,X3,X1)|esk414_2(X2,X3)=esk415_2(X2,X3)|~in(X1,esk419_2(X2,X3))|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_988]), ['final']).
% 282.28/198.92 cnf(i_0_4856, plain, (net_str(X1,X2)|empty_carrier(X2)|empty_carrier(X3)|~subnet(X1,X2,X3)|~one_sorted_str(X2)|~transitive_relstr(X3)|~directed_relstr(X3)|~net_str(X3,X2)), inference(split_conjunct,[status(thm)],[i_0_2224]), ['final']).
% 282.28/198.92 cnf(i_0_4857, plain, (subrelstr(X1,X2)|~subnetstr(X1,X3,X2)|~net_str(X1,X3)|~net_str(X2,X3)|~one_sorted_str(X3)), inference(split_conjunct,[status(thm)],[i_0_1819]), ['final']).
% 282.28/198.92 cnf(i_0_4858, plain, (empty_carrier(X1)|below_refl(X1,X2,X2)|~meet_commutative(X1)|~meet_absorbing(X1)|~join_absorbing(X1)|~latt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2225]), ['final']).
% 282.28/198.92 cnf(i_0_4859, plain, (in(esk103_3(X1,X2,X3),X1)|~in(X3,X2)|X2!=union(X1)), inference(split_conjunct,[status(thm)],[i_0_2223]), ['final']).
% 282.28/198.92 cnf(i_0_4860, plain, (in(X1,esk103_3(X2,X3,X1))|~in(X1,X3)|X3!=union(X2)), inference(split_conjunct,[status(thm)],[i_0_2223]), ['final']).
% 282.28/198.92 cnf(i_0_4861, plain, (in(esk76_2(X1,X2),X2)|closed_subsets(X2,X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2167]), ['final']).
% 282.28/198.92 cnf(i_0_4862, plain, (in(esk57_2(X1,X2),X2)|open_subsets(X2,X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2168]), ['final']).
% 282.28/198.92 cnf(i_0_4863, plain, (X1=esk547_1(X2)|X2=empty_set|epred1_0|~in(X1,X2)|~subset(esk547_1(X2),X1)|~element(X2,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|esk545_1(X3)!=X3|~in(X3,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_4864, plain, (strict_net_str(preimage_subnetstr(X1,X2,X3),X1)|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2195]), ['final']).
% 282.28/198.92 cnf(i_0_4865, lemma, (in(esk274_2(X1,X2),X2)|X2=empty_set|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|esk273_1(X3)!=X3|~in(X3,esk272_0)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_4866, plain, (is_a_cover_of_carrier(X1,X2)|cast_as_carrier_subset(X1)!=union_of_subsets(the_carrier(X1),X2)|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2226]), ['final']).
% 282.28/198.92 cnf(i_0_4867, lemma, (in(esk492_2(X1,X2),X2)|X2=empty_set|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|esk491_1(X3)!=X3|~in(X3,esk490_0)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.92 cnf(i_0_4868, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk467_2(X1,X2),X1)|in(esk464_2(X1,X2),esk466_2(X1,X2))|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4869, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk467_2(X1,X2),X1)|in(esk463_2(X1,X2),esk465_2(X1,X2))|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4870, lemma, (relation_image(X1,X2)=relation_image(X1,set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2)))|~relation(X1)), inference(rw,[status(thm)],[i_0_2227, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_4871, plain, (esk324_3(X1,X2,X3)=X3|esk322_1(X1)=unordered_pair(esk321_1(X1),esk321_1(X1))|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_2228, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_4872, plain, (esk324_3(X1,X2,X3)=X3|esk320_1(X1)=unordered_pair(esk319_1(X1),esk319_1(X1))|~in(X3,esk323_2(X1,X2))), inference(rw,[status(thm)],[i_0_2229, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_4873, lemma, (element(esk531_2(X1,X2),powerset(powerset(the_carrier(X1))))|~element(X2,powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2173]), ['final']).
% 282.28/198.92 cnf(i_0_4874, lemma, (element(esk494_2(X1,X2),powerset(powerset(the_carrier(X1))))|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_1990]), ['final']).
% 282.28/198.92 cnf(i_0_4875, lemma, (relation(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|in(esk464_2(X1,X2),esk466_2(X1,X2))|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4876, lemma, (relation(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|in(esk463_2(X1,X2),esk465_2(X1,X2))|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4877, lemma, (function(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|in(esk464_2(X1,X2),esk466_2(X1,X2))|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4878, lemma, (function(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|in(esk463_2(X1,X2),esk465_2(X1,X2))|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4879, lemma, (in(X1,relation_dom(X2))|~in(X1,relation_dom(relation_dom_restriction(X2,X3)))|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_2230]), ['final']).
% 282.28/198.92 cnf(i_0_4880, plain, (in(X1,X4)|~in(X1,relation_dom(X2))|~in(apply(X2,X1),X3)|X4!=relation_inverse_image(X2,X3)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1721]), ['final']).
% 282.28/198.92 cnf(i_0_4881, plain, (transitive_relstr(preimage_subnetstr(X1,X2,X3))|~one_sorted_str(X1)|~transitive_relstr(X2)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2178]), ['final']).
% 282.28/198.92 cnf(i_0_4882, lemma, (relstr_set_smaller(X1,X2,X3)|X3!=join_on_relstr(X1,X2)|~ex_sup_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1922]), ['final']).
% 282.28/198.92 cnf(i_0_4883, plain, (X1=esk547_1(X2)|X2=empty_set|element(esk544_0,powerset(powerset(empty_set)))|epred1_0|~in(X1,X2)|~subset(esk547_1(X2),X1)|~element(X2,powerset(powerset(esk546_0)))|~in(esk546_0,omega)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_4884, plain, (meet(X1,X2,X3)=X2|empty_carrier(X1)|~element(X3,the_carrier(X1))|X2!=bottom_of_semilattstr(X1)|~element(X2,the_carrier(X1))|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1994]), ['final']).
% 282.28/198.92 cnf(i_0_4885, plain, (meet(X1,X2,X3)=X3|empty_carrier(X1)|~element(X2,the_carrier(X1))|X3!=bottom_of_semilattstr(X1)|~element(X3,the_carrier(X1))|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1994]), ['final']).
% 282.28/198.92 cnf(i_0_4886, lemma, (in(esk536_2(X1,X2),relation_dom(X1))|in(esk533_2(X1,X2),relation_rng(X1))|X2=function_inverse(X1)|relation_dom(X2)!=relation_rng(X1)|~relation(X2)|~function(X2)|~one_to_one(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 282.28/198.92 cnf(i_0_4887, plain, (quasi_total(X1,X2,X3)|X2=empty_set|X1!=empty_set|X3!=empty_set|~relation_of2_as_subset(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2129]), ['final']).
% 282.28/198.92 cnf(i_0_4888, lemma, (in(esk274_2(X1,X2),X2)|X2=empty_set|element(esk272_0,powerset(powerset(esk270_0)))|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_4889, plain, (empty_carrier(X2)|empty_carrier(X3)|~empty_carrier(X1)|~subnet(X1,X2,X3)|~one_sorted_str(X2)|~transitive_relstr(X3)|~directed_relstr(X3)|~net_str(X3,X2)), inference(split_conjunct,[status(thm)],[i_0_2224]), ['final']).
% 282.28/198.92 cnf(i_0_4890, lemma, (finite(complements_of_subsets(the_carrier(X2),X1))|~finite(X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2213]), ['final']).
% 282.28/198.92 cnf(i_0_4891, lemma, (in(esk492_2(X1,X2),X2)|X2=empty_set|element(esk490_0,powerset(powerset(esk488_0)))|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.92 cnf(i_0_4892, lemma, (subset_complement(the_carrier(X1),X2)=subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2)|~one_sorted_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2231]), ['final']).
% 282.28/198.92 cnf(i_0_4893, plain, (in(esk53_3(X1,X2,X3),X1)|in(X3,X2)|X1=empty_set|X2!=set_meet(X1)), inference(split_conjunct,[status(thm)],[i_0_2151]), ['final']).
% 282.28/198.92 cnf(i_0_4894, plain, (X1=esk169_3(X1,X2,X3)|empty_carrier(X2)|~in(X1,a_2_3_lattice3(X2,X3))|~lattice(X2)|~complete_latt_str(X2)|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2104]), ['final']).
% 282.28/198.92 cnf(i_0_4895, plain, (empty_carrier(X1)|unordered_pair_as_carrier_subset(X1,X2,X3)=unordered_pair(X2,X3)|~one_sorted_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2232]), ['final']).
% 282.28/198.92 cnf(i_0_4896, plain, (relation_rng_as_subset(X2,X3,X1)=relation_rng(X1)|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2233]), ['final']).
% 282.28/198.92 cnf(i_0_4897, plain, (relation_dom_as_subset(X2,X3,X1)=relation_dom(X1)|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2234]), ['final']).
% 282.28/198.92 cnf(i_0_4898, plain, (directed_relstr(X1)|empty_carrier(X2)|empty_carrier(X3)|~subnet(X1,X2,X3)|~one_sorted_str(X2)|~transitive_relstr(X3)|~directed_relstr(X3)|~net_str(X3,X2)), inference(split_conjunct,[status(thm)],[i_0_2224]), ['final']).
% 282.28/198.92 cnf(i_0_4899, plain, (transitive_relstr(X1)|empty_carrier(X2)|empty_carrier(X3)|~subnet(X1,X2,X3)|~one_sorted_str(X2)|~transitive_relstr(X3)|~directed_relstr(X3)|~net_str(X3,X2)), inference(split_conjunct,[status(thm)],[i_0_2224]), ['final']).
% 282.28/198.92 cnf(i_0_4900, plain, (cast_as_carrier_subset(X1)=union_of_subsets(the_carrier(X1),X2)|~is_a_cover_of_carrier(X1,X2)|~element(X2,powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2226]), ['final']).
% 282.28/198.92 cnf(i_0_4901, lemma, (subset(X1,X2)|~in(X2,esk438_2(X3,X1))|~topological_space(X3)|~top_str(X3)|~element(X1,powerset(the_carrier(X3)))), inference(split_conjunct,[status(thm)],[i_0_2067]), ['final']).
% 282.28/198.92 cnf(i_0_4902, plain, (~natural(X1)|~ordinal(X1)|~empty(set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_2235, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_4903, plain, (in(esk48_1(X1),the_topology(X1))|element(esk46_1(X1),powerset(powerset(the_carrier(X1))))|topological_space(X1)|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.92 cnf(i_0_4904, plain, (in(esk47_1(X1),the_topology(X1))|element(esk46_1(X1),powerset(powerset(the_carrier(X1))))|topological_space(X1)|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.92 cnf(i_0_4905, plain, (ordinal(esk332_2(X1,X2))|epred2_3(esk329_1(X1),esk328_1(X1),esk327_1(X1))|~in(X2,esk330_1(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928]), ['final']).
% 282.28/198.92 cnf(i_0_4906, lemma, (subset(the_carrier(X3),the_carrier(X2))|~one_sorted_str(X1)|~net_str(X2,X1)|~subnetstr(X3,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2236]), ['final']).
% 282.28/198.92 cnf(i_0_4907, lemma, (disjoint(X1,X3)|~subset(X1,subset_complement(X2,X3))|~element(X3,powerset(X2))|~element(X1,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2237]), ['final']).
% 282.28/198.92 cnf(i_0_4908, lemma, (in(X1,X2)|~in(X1,relation_dom(relation_dom_restriction(X3,X2)))|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_2230]), ['final']).
% 282.28/198.92 cnf(i_0_4909, lemma, (in(X1,relation_dom(relation_dom_restriction(X2,X3)))|~in(X1,relation_dom(X2))|~in(X1,X3)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_2230]), ['final']).
% 282.28/198.92 cnf(i_0_4910, plain, (X1=esk552_3(X2,X3,X1)|~epred2_3(X1,X3,X2)), inference(split_conjunct,[status(thm)],[i_0_1555]), ['final']).
% 282.28/198.92 cnf(i_0_4911, plain, (X1=esk550_3(X2,X1,X3)|~epred2_3(X3,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1555]), ['final']).
% 282.28/198.92 cnf(i_0_4912, lemma, (in(X1,relation_rng(X2))|~in(X1,relation_rng(relation_rng_restriction(X3,X2)))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2238]), ['final']).
% 282.28/198.92 cnf(i_0_4913, lemma, (in(X1,relation_field(X2))|~in(X1,relation_field(relation_restriction(X2,X3)))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2239]), ['final']).
% 282.28/198.92 cnf(i_0_4914, lemma, (in(X1,relation_dom(X2))|~in(X1,relation_dom(relation_dom_restriction(X2,X3)))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2240]), ['final']).
% 282.28/198.92 cnf(i_0_4915, plain, (closed_subset(subset_complement(the_carrier(X1),X2),X1)|~topological_space(X1)|~top_str(X1)|~open_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2241]), ['final']).
% 282.28/198.92 cnf(i_0_4916, plain, (open_subset(subset_complement(the_carrier(X1),X2),X1)|~topological_space(X1)|~top_str(X1)|~closed_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2242]), ['final']).
% 282.28/198.92 cnf(i_0_4917, lemma, (apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~relation(X1)|~function(X1)|~relation(X2)|~function(X2)|~in(X3,relation_dom(X1))), inference(split_conjunct,[status(thm)],[i_0_2243]), ['final']).
% 282.28/198.92 cnf(i_0_4918, plain, (relstr_set_smaller(X1,X2,X3)|X3!=join_on_relstr(X1,X2)|~ex_sup_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1914]), ['final']).
% 282.28/198.92 cnf(i_0_4919, plain, (relstr_element_smaller(X1,X2,X3)|X3!=meet_on_relstr(X1,X2)|~ex_inf_of_relstr_set(X1,X2)|~element(X3,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1913]), ['final']).
% 282.28/198.92 cnf(i_0_4920, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2244]), ['final']).
% 282.28/198.92 cnf(i_0_4921, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2244]), ['final']).
% 282.28/198.92 cnf(i_0_4922, plain, (disjoint(fiber(X1,esk77_2(X1,X2)),X2)|X2=empty_set|~subset(X2,relation_field(X1))|~well_founded_relation(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2245]), ['final']).
% 282.28/198.92 cnf(i_0_4923, plain, (lower_bounded_relstr(X2)|~element(X1,the_carrier(X2))|~relstr_element_smaller(X2,the_carrier(X2),X1)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2246]), ['final']).
% 282.28/198.92 cnf(i_0_4924, plain, (esk324_3(X1,X2,X3)=X3|in(esk321_1(X1),X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4925, plain, (esk324_3(X1,X2,X3)=X3|in(esk319_1(X1),X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4926, plain, (empty(X1)|~empty_carrier(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2247]), ['final']).
% 282.28/198.92 cnf(i_0_4927, plain, (empty_carrier(X1)|related_reflexive(X1,X2,X2)|~reflexive_relstr(X1)|~rel_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2248]), ['final']).
% 282.28/198.92 cnf(i_0_4928, lemma, (subset(X1,set_difference(X2,set_difference(X2,X3)))|~subset(X1,X3)|~subset(X1,X2)), inference(rw,[status(thm)],[i_0_2249, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_4929, plain, (empty_carrier(X1)|latt_element_smaller(X1,X2,X3)|X2!=join_of_latt_set(X1,X3)|~latt_str(X1)|~lattice(X1)|~complete_latt_str(X1)|~element(X2,the_carrier(X1))), inference(cn,[status(thm)],[i_0_2250]), ['final']).
% 282.28/198.92 cnf(i_0_4930, lemma, (latt_set_smaller(X1,X2,X3)|empty_carrier(X1)|X2!=meet_of_latt_set(X1,X3)|~element(X2,the_carrier(X1))|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1916]), ['final']).
% 282.28/198.92 cnf(i_0_4931, plain, (upper_relstr_subset(X2,X1)|~in(esk67_2(X1,X2),X2)|~element(X2,powerset(the_carrier(X1)))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2065]), ['final']).
% 282.28/198.92 cnf(i_0_4932, plain, (~ordinal(X1)|~empty(set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_2251, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_4933, lemma, (in(set_union2(X2,unordered_pair(X2,X2)),X1)|~ordinal(X2)|~ordinal(X1)|~being_limit_ordinal(X1)|~in(X2,X1)), inference(rw,[status(thm)],[i_0_2252, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_4934, plain, (quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|empty_carrier(X1)|~meet_associative(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2253]), ['final']).
% 282.28/198.92 cnf(i_0_4935, plain, (quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|empty_carrier(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2254]), ['final']).
% 282.28/198.92 cnf(i_0_4936, plain, (quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|empty_carrier(X1)|~join_associative(X1)|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2255]), ['final']).
% 282.28/198.92 cnf(i_0_4937, plain, (quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|empty_carrier(X1)|~join_commutative(X1)|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2256]), ['final']).
% 282.28/198.92 cnf(i_0_4938, plain, (v1_partfun1(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|empty_carrier(X1)|~meet_associative(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2253]), ['final']).
% 282.28/198.92 cnf(i_0_4939, plain, (v1_partfun1(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|empty_carrier(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2254]), ['final']).
% 282.28/198.92 cnf(i_0_4940, plain, (v1_partfun1(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|empty_carrier(X1)|~join_associative(X1)|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2255]), ['final']).
% 282.28/198.92 cnf(i_0_4941, plain, (v1_partfun1(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|empty_carrier(X1)|~join_commutative(X1)|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2256]), ['final']).
% 282.28/198.92 cnf(i_0_4942, plain, (well_orders(X1,X2)|~is_reflexive_in(X1,X2)|~is_transitive_in(X1,X2)|~is_antisymmetric_in(X1,X2)|~is_connected_in(X1,X2)|~is_well_founded_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2257]), ['final']).
% 282.28/198.92 cnf(i_0_4943, lemma, (in(X1,X2)|~in(X1,relation_rng(relation_rng_restriction(X2,X3)))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_2238]), ['final']).
% 282.28/198.92 cnf(i_0_4944, lemma, (in(X1,X2)|~in(X1,relation_field(relation_restriction(X3,X2)))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_2239]), ['final']).
% 282.28/198.92 cnf(i_0_4945, lemma, (in(X1,X2)|~in(X1,relation_dom(relation_dom_restriction(X3,X2)))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_2240]), ['final']).
% 282.28/198.92 cnf(i_0_4946, lemma, (pair_second(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X2), inference(rw,[status(thm)],[i_0_2258, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4947, lemma, (pair_first(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)))=X1), inference(rw,[status(thm)],[i_0_2259, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4948, lemma, (in(X1,relation_rng(relation_rng_restriction(X2,X3)))|~in(X1,X2)|~in(X1,relation_rng(X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_2238]), ['final']).
% 282.28/198.92 cnf(i_0_4949, lemma, (in(X1,relation_dom(relation_dom_restriction(X3,X2)))|~in(X1,X2)|~in(X1,relation_dom(X3))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_2240]), ['final']).
% 282.28/198.92 cnf(i_0_4950, plain, (X1=pair_second(X2)|X1!=esk71_2(X2,X1)|X2!=unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3))), inference(rw,[status(thm)],[i_0_2260, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4951, plain, (X1=pair_first(X2)|X1!=esk44_2(X2,X1)|X2!=unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3))), inference(rw,[status(thm)],[i_0_2261, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_4952, plain, (empty_carrier(X1)|empty_carrier(X2)|subnet(esk165_2(X1,X2),X1,X2)|~one_sorted_str(X1)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2262]), ['final']).
% 282.28/198.92 cnf(i_0_4953, plain, (X1=esk547_1(X2)|X2=empty_set|in(empty_set,omega)|epred1_0|~in(X1,X2)|~subset(esk547_1(X2),X1)|~element(X2,powerset(powerset(esk546_0)))|~in(esk546_0,omega)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_4954, lemma, (closed_subset(subset_complement(the_carrier(X2),X1),X2)|~open_subset(X1,X2)|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2222]), ['final']).
% 282.28/198.92 cnf(i_0_4955, lemma, (open_subset(subset_complement(the_carrier(X2),X1),X2)|~closed_subset(X1,X2)|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2221]), ['final']).
% 282.28/198.92 cnf(i_0_4956, lemma, (in(X1,relation_restriction(X2,X3))|~in(X1,X2)|~in(X1,cartesian_product2(X3,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2263]), ['final']).
% 282.28/198.92 cnf(i_0_4957, lemma, (in(esk274_2(X1,X2),X2)|X2=empty_set|in(esk270_0,omega)|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_4958, plain, (subset_difference(X2,X1,X3)=set_difference(X1,X3)|~element(X1,powerset(X2))|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2264]), ['final']).
% 282.28/198.92 cnf(i_0_4959, plain, (subset_union2(X2,X1,X3)=set_union2(X1,X3)|~element(X1,powerset(X2))|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2265]), ['final']).
% 282.28/198.92 cnf(i_0_4960, lemma, (X1=empty_set|meet_of_subsets(X2,complements_of_subsets(X2,X1))=subset_complement(X2,union_of_subsets(X2,X1))|~element(X1,powerset(powerset(X2)))), inference(split_conjunct,[status(thm)],[i_0_2266]), ['final']).
% 282.28/198.92 cnf(i_0_4961, lemma, (X1=empty_set|union_of_subsets(X2,complements_of_subsets(X2,X1))=subset_complement(X2,meet_of_subsets(X2,X1))|~element(X1,powerset(powerset(X2)))), inference(split_conjunct,[status(thm)],[i_0_2267]), ['final']).
% 282.28/198.92 cnf(i_0_4962, plain, (X2=X3|~one_to_one(X1)|~in(X2,relation_dom(X1))|~in(X3,relation_dom(X1))|apply(X1,X2)!=apply(X1,X3)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2268]), ['final']).
% 282.28/198.92 cnf(i_0_4963, lemma, (relation(esk275_3(X1,X2,X3))|~relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_923]), ['final']).
% 282.28/198.92 cnf(i_0_4964, plain, (X1=X2|rel_str_of(X1,X3)!=rel_str_of(X2,X4)|~relation_of2(X3,X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2269]), ['final']).
% 282.28/198.92 cnf(i_0_4965, plain, (X1=X2|rel_str_of(X3,X1)!=rel_str_of(X4,X2)|~relation_of2(X1,X3,X3)), inference(split_conjunct,[status(thm)],[i_0_2269]), ['final']).
% 282.28/198.92 cnf(i_0_4966, lemma, (disjoint(X1,X2)|in(esk532_2(X1,X2),set_difference(X1,set_difference(X1,X2)))), inference(rw,[status(thm)],[i_0_2270, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_4967, lemma, (in(esk492_2(X1,X2),X2)|X2=empty_set|in(esk488_0,omega)|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.92 cnf(i_0_4968, plain, (X2=powerset(X1)|~in(esk65_2(X1,X2),X2)|~subset(esk65_2(X1,X2),X1)), inference(split_conjunct,[status(thm)],[i_0_2271]), ['final']).
% 282.28/198.92 cnf(i_0_4969, plain, (esk324_3(X1,X2,X3)=X3|~in(X3,esk323_2(X1,X2))|esk317_1(X1)!=esk318_1(X1)), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4970, plain, (empty_carrier(X1)|point_neighbourhood(esk159_2(X1,X2),X1,X2)|~topological_space(X1)|~top_str(X1)|~element(X2,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2272]), ['final']).
% 282.28/198.92 cnf(i_0_4971, plain, (quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))|empty_carrier(X1)|empty_carrier(X2)|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2273]), ['final']).
% 282.28/198.92 cnf(i_0_4972, plain, (in(X4,X5)|~in(X1,relation_dom(X2))|~in(X1,X3)|X4!=apply(X2,X1)|X5!=relation_image(X2,X3)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1841]), ['final']).
% 282.28/198.92 cnf(i_0_4973, lemma, (subset(X2,relation_inverse_image(X1,relation_image(X1,X2)))|~relation(X1)|~subset(X2,relation_dom(X1))), inference(split_conjunct,[status(thm)],[i_0_2274]), ['final']).
% 282.28/198.92 cnf(i_0_4974, lemma, (in(X1,set_union2(X2,unordered_pair(X2,X2)))|~ordinal(X2)|~in(X1,esk433_1(X2))), inference(rw,[status(thm)],[i_0_2275, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_4975, lemma, (directed_subset(X1,X2)|element(esk509_2(X2,X1),powerset(X1))|empty_carrier(X2)|~element(X1,powerset(the_carrier(X2)))|~transitive_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2019]), ['final']).
% 282.28/198.92 cnf(i_0_4976, plain, (X1=esk168_3(X1,X2,X3)|empty_carrier(X2)|~in(X1,a_2_2_lattice3(X2,X3))|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2126]), ['final']).
% 282.28/198.92 cnf(i_0_4977, plain, (net_str(X3,X1)|~one_sorted_str(X1)|~net_str(X2,X1)|~subnetstr(X3,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2276]), ['final']).
% 282.28/198.92 cnf(i_0_4978, lemma, (apply(esk475_1(X2),X1)=unordered_pair(X1,X1)|esk473_1(X2)=unordered_pair(esk471_1(X2),esk471_1(X2))|X3!=unordered_pair(esk474_1(X2),esk474_1(X2))|~in(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2277, c_0_882]), c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_4979, lemma, (apply(esk475_1(X2),X1)=unordered_pair(X1,X1)|esk472_1(X2)=unordered_pair(esk471_1(X2),esk471_1(X2))|X3!=unordered_pair(esk474_1(X2),esk474_1(X2))|~in(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2278, c_0_882]), c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_4980, plain, (X1=unordered_pair(esk315_2(X2,X1),esk315_2(X2,X1))|esk313_1(X2)=unordered_pair(esk311_1(X2),esk311_1(X2))|~in(X1,esk314_1(X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2279, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_4981, plain, (X1=unordered_pair(esk315_2(X2,X1),esk315_2(X2,X1))|esk312_1(X2)=unordered_pair(esk311_1(X2),esk311_1(X2))|~in(X1,esk314_1(X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2280, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_4982, lemma, (epred3_2(X2,X1)|~relation(X1)|~relation(X2)|~relation(X3)|~function(X3)|~relation_isomorphism(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2281]), ['final']).
% 282.28/198.92 cnf(i_0_4983, lemma, (in(X3,X1)|subset(X1,set_difference(X2,unordered_pair(X3,X3)))|~subset(X1,X2)), inference(rw,[status(thm)],[i_0_2282, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_4984, plain, (~empty(set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_2283, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_4985, lemma, (ordinal_subset(set_union2(X1,unordered_pair(X1,X1)),X2)|~ordinal(X2)|~ordinal(X1)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2284, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_4986, plain, (X1=X2|~in(esk517_2(X1,X2),X1)|~in(esk517_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[i_0_2285]), ['final']).
% 282.28/198.92 cnf(i_0_4987, plain, (esk331_2(X1,X2)=X2|epred2_3(esk329_1(X1),esk328_1(X1),esk327_1(X1))|~in(X2,esk330_1(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928]), ['final']).
% 282.28/198.92 cnf(i_0_4988, plain, (X1=esk332_2(X2,X1)|epred2_3(esk329_1(X2),esk328_1(X2),esk327_1(X2))|~in(X1,esk330_1(X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_928]), ['final']).
% 282.28/198.92 cnf(i_0_4989, lemma, (subset(X1,subset_complement(X3,X2))|~disjoint(X1,X2)|~element(X2,powerset(X3))|~element(X1,powerset(X3))), inference(split_conjunct,[status(thm)],[i_0_2237]), ['final']).
% 282.28/198.92 cnf(i_0_4990, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk467_2(X1,X2),X1)|empty(X1)|esk463_2(X1,X2)!=esk464_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4991, plain, (esk324_3(X1,X2,X3)=X3|esk316_1(X1)=esk318_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4992, plain, (esk324_3(X1,X2,X3)=X3|esk316_1(X1)=esk317_1(X1)|~in(X3,esk323_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_925]), ['final']).
% 282.28/198.92 cnf(i_0_4993, lemma, (relation(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|empty(X1)|esk463_2(X1,X2)!=esk464_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4994, lemma, (function(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|empty(X1)|esk463_2(X1,X2)!=esk464_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_4995, lemma, (well_ordering(X2)|~relation(X1)|~relation(X2)|~relation(X3)|~function(X3)|~well_ordering(X1)|~relation_isomorphism(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2286]), ['final']).
% 282.28/198.92 cnf(i_0_4996, lemma, (empty_carrier(X1)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~is_a_cover_of_carrier(X1,X2)|X2!=empty_set), inference(split_conjunct,[status(thm)],[i_0_2287]), ['final']).
% 282.28/198.92 cnf(i_0_4997, plain, (subset(X1,cartesian_product2(X2,X3))|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2288]), ['final']).
% 282.28/198.92 cnf(i_0_4998, lemma, (subset_intersection2(the_carrier(X1),X2,cast_as_carrier_subset(X1))=X2|~one_sorted_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2289]), ['final']).
% 282.28/198.92 cnf(i_0_4999, lemma, (X1=esk457_3(X2,X3,X1)|~in(X1,esk456_2(X2,X3))|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_1025]), ['final']).
% 282.28/198.92 cnf(i_0_5000, lemma, (topstr_closure(X1,X2)=meet_of_subsets(the_carrier(X1),esk531_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2173]), ['final']).
% 282.28/198.92 cnf(i_0_5001, lemma, (subset(fiber(relation_restriction(X1,X2),X3),fiber(X1,X3))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2290]), ['final']).
% 282.28/198.92 cnf(i_0_5002, lemma, (in(esk274_2(X1,X2),X2)|X2=empty_set|being_limit_ordinal(esk270_0)|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_5003, lemma, (in(esk274_2(X1,X2),X2)|X2=empty_set|ordinal(esk270_0)|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_5004, plain, (in(X1,X4)|X4!=set_difference(X2,set_difference(X2,X3))|~in(X1,X3)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2291, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5005, plain, (relation_of2_as_subset(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2292]), ['final']).
% 282.28/198.92 cnf(i_0_5006, plain, (relation_of2_as_subset(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2293]), ['final']).
% 282.28/198.92 cnf(i_0_5007, plain, (quasi_total(the_L_meet(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2292]), ['final']).
% 282.28/198.92 cnf(i_0_5008, plain, (quasi_total(the_L_join(X1),cartesian_product2(the_carrier(X1),the_carrier(X1)),the_carrier(X1))|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2293]), ['final']).
% 282.28/198.92 cnf(i_0_5009, lemma, (element(esk509_2(X2,X1),powerset(X1))|empty_carrier(X2)|~empty(X1)|~element(X1,powerset(the_carrier(X2)))|~transitive_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2019]), ['final']).
% 282.28/198.92 cnf(i_0_5010, lemma, (in(esk492_2(X1,X2),X2)|X2=empty_set|ordinal(esk488_0)|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.92 cnf(i_0_5011, plain, (X1=esk547_1(X2)|X2=empty_set|epred1_0|~in(X1,X2)|~subset(esk547_1(X2),X1)|~element(X2,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|esk544_0!=empty_set), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5012, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk467_2(X1,X2),X1)|in(esk462_2(X1,X2),X1)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_5013, plain, (in(esk547_1(X1),X1)|X1=empty_set|subset(X2,esk545_1(X2))|epred1_0|~element(X1,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|~in(X2,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5014, lemma, (in(esk274_2(X1,X2),X2)|X2=empty_set|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|esk272_0!=empty_set|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_5015, lemma, (in(esk274_2(X1,X2),X2)|X2=empty_set|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|esk270_0!=empty_set|~epred1_0), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 282.28/198.92 cnf(i_0_5016, plain, (relation_rng(X1)=relation_field(X2)|~relation_isomorphism(X3,X2,X1)|~relation(X1)|~function(X1)|~relation(X2)|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_895]), ['final']).
% 282.28/198.92 cnf(i_0_5017, plain, (relation_dom(X1)=relation_field(X2)|~relation_isomorphism(X2,X3,X1)|~relation(X1)|~function(X1)|~relation(X3)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_895]), ['final']).
% 282.28/198.92 cnf(i_0_5018, lemma, (relation(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|in(esk462_2(X1,X2),X1)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_5019, lemma, (function(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|in(esk462_2(X1,X2),X1)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_5020, plain, (relation_of2_as_subset(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2294]), ['final']).
% 282.28/198.92 cnf(i_0_5021, plain, (quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2294]), ['final']).
% 282.28/198.92 cnf(i_0_5022, lemma, (in(esk492_2(X1,X2),X2)|X2=empty_set|~element(X2,powerset(powerset(X1)))|~in(X1,omega)|~ordinal(X1)|esk490_0!=empty_set), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 282.28/198.92 cnf(i_0_5023, plain, (in(esk547_1(X1),X1)|X1=empty_set|in(esk545_1(X2),esk544_0)|epred1_0|~element(X1,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|~in(X2,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5024, plain, (strict_rel_str(rel_str_of(X1,X2))|empty(X1)|~relation_of2(X2,X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2247]), ['final']).
% 282.28/198.92 cnf(i_0_5025, lemma, (in(X1,relation_rng(X2))|~in(X3,relation_dom(X2))|X1!=apply(X2,X3)|X4!=function_inverse(X2)|~relation(X4)|~function(X4)|~one_to_one(X2)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 282.28/198.92 cnf(i_0_5026, lemma, (in(X1,relation_dom(X2))|~in(X3,relation_rng(X2))|X1!=apply(X4,X3)|X4!=function_inverse(X2)|~relation(X4)|~function(X4)|~one_to_one(X2)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 282.28/198.92 cnf(i_0_5027, lemma, (apply(esk475_1(X2),X1)=unordered_pair(X1,X1)|in(esk471_1(X2),X2)|X3!=unordered_pair(esk474_1(X2),esk474_1(X2))|~in(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2295, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5028, plain, (subset_intersection2(X2,X1,X1)=X1|~element(X1,powerset(X2))|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2296]), ['final']).
% 282.28/198.92 cnf(i_0_5029, plain, (subset_union2(X2,X1,X1)=X1|~element(X1,powerset(X2))|~element(X3,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2297]), ['final']).
% 282.28/198.92 cnf(i_0_5030, plain, (X1=unordered_pair(esk315_2(X2,X1),esk315_2(X2,X1))|in(esk311_1(X2),X2)|~in(X1,esk314_1(X2))), inference(rw,[status(thm)],[i_0_2298, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5031, plain, (X1=unordered_pair(esk315_2(X2,X1),esk315_2(X2,X1))|in(esk311_1(X2),X2)|~in(X1,esk314_1(X2))), inference(rw,[status(thm)],[i_0_2299, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5032, plain, (element(esk67_2(X1,X2),the_carrier(X1))|upper_relstr_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2065]), ['final']).
% 282.28/198.92 cnf(i_0_5033, plain, (element(esk66_2(X1,X2),the_carrier(X1))|upper_relstr_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2065]), ['final']).
% 282.28/198.92 cnf(i_0_5034, plain, (element(esk60_2(X1,X2),the_carrier(X1))|directed_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1766]), ['final']).
% 282.28/198.92 cnf(i_0_5035, plain, (element(esk59_2(X1,X2),the_carrier(X1))|directed_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1766]), ['final']).
% 282.28/198.92 cnf(i_0_5036, plain, (one_to_one(X1)|~relation_isomorphism(X2,X3,X1)|~relation(X1)|~function(X1)|~relation(X3)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_895]), ['final']).
% 282.28/198.92 cnf(i_0_5037, lemma, (empty_carrier(X1)|related(X1,bottom_of_relstr(X1),X2)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1)|~element(X2,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2300]), ['final']).
% 282.28/198.92 cnf(i_0_5038, plain, (empty_carrier(X1)|empty_carrier(X2)|element(lim_points_of_net(X1,X2),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2301]), ['final']).
% 282.28/198.92 cnf(i_0_5039, plain, (element(esk48_1(X1),powerset(the_carrier(X1)))|subset(esk46_1(X1),the_topology(X1))|topological_space(X1)|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.92 cnf(i_0_5040, plain, (element(esk47_1(X1),powerset(the_carrier(X1)))|subset(esk46_1(X1),the_topology(X1))|topological_space(X1)|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.92 cnf(i_0_5041, lemma, (~element(X1,powerset(X2))|~in(X3,subset_complement(X2,X1))|~in(X3,X1)), inference(split_conjunct,[status(thm)],[i_0_2302]), ['final']).
% 282.28/198.92 cnf(i_0_5042, plain, (relation_of2(X1,X2,X3)|~subset(X1,cartesian_product2(X2,X3))), inference(split_conjunct,[status(thm)],[i_0_2288]), ['final']).
% 282.28/198.92 cnf(i_0_5043, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3)))), inference(split_conjunct,[status(thm)],[i_0_2303]), ['final']).
% 282.28/198.92 cnf(i_0_5044, lemma, (relstr_set_smaller(X1,X2,esk502_2(X1,X2))|~ex_sup_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1924]), ['final']).
% 282.28/198.92 cnf(i_0_5045, lemma, (relstr_element_smaller(X1,X2,esk505_2(X1,X2))|~ex_inf_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1923]), ['final']).
% 282.28/198.92 cnf(i_0_5046, plain, (element(interior(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2304]), ['final']).
% 282.28/198.92 cnf(i_0_5047, plain, (element(topstr_closure(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2305]), ['final']).
% 282.28/198.92 cnf(i_0_5048, plain, (well_founded_relation(X2)|~in(X1,esk78_1(X2))|~disjoint(fiber(X2,X1),esk78_1(X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2245]), ['final']).
% 282.28/198.92 cnf(i_0_5049, plain, (transitive_relstr(X1)|~related(X1,esk80_1(X1),esk82_1(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1970]), ['final']).
% 282.28/198.92 cnf(i_0_5050, plain, (epred1_0|subset(X1,esk545_1(X1))|in(set_union2(esk546_0,unordered_pair(esk546_0,esk546_0)),omega)|~in(X1,esk544_0)), inference(rw,[status(thm)],[i_0_2306, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5051, plain, (X1=X3|X1=X4|X1=X5|~in(X1,X2)|X2!=unordered_triple(X3,X4,X5)), inference(split_conjunct,[status(thm)],[i_0_1594]), ['final']).
% 282.28/198.92 cnf(i_0_5052, plain, (empty_carrier(X1)|element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))|~lattice(X1)|~latt_str(X1)|~element(X2,the_carrier(poset_of_lattice(X1)))), inference(split_conjunct,[status(thm)],[i_0_2307]), ['final']).
% 282.28/198.92 cnf(i_0_5053, plain, (strict_rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2308]), ['final']).
% 282.28/198.92 cnf(i_0_5054, plain, (rel_str(rel_str_of(X1,X2))|~relation_of2(X2,X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2308]), ['final']).
% 282.28/198.92 cnf(i_0_5055, plain, (meet(X1,esk20_1(X1),X2)=esk20_1(X1)|empty_carrier(X1)|~element(X2,the_carrier(X1))|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2008]), ['final']).
% 282.28/198.92 cnf(i_0_5056, plain, (meet(X1,X2,esk20_1(X1))=esk20_1(X1)|empty_carrier(X1)|~element(X2,the_carrier(X1))|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2008]), ['final']).
% 282.28/198.92 cnf(i_0_5057, lemma, (X1=apply(X2,X3)|~in(X1,relation_dom(X4))|X3!=apply(X4,X1)|X2!=function_inverse(X4)|~relation(X2)|~function(X2)|~one_to_one(X4)|~relation(X4)|~function(X4)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 282.28/198.92 cnf(i_0_5058, lemma, (X1=apply(X2,X3)|~in(X1,relation_rng(X2))|X3!=apply(X4,X1)|X4!=function_inverse(X2)|~relation(X4)|~function(X4)|~one_to_one(X2)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 282.28/198.92 cnf(i_0_5059, plain, (epred1_0|in(esk545_1(X1),esk544_0)|in(set_union2(esk546_0,unordered_pair(esk546_0,esk546_0)),omega)|~in(X1,esk544_0)), inference(rw,[status(thm)],[i_0_2309, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5060, lemma, (directed_subset(X1,X2)|finite(esk509_2(X2,X1))|empty_carrier(X2)|~element(X1,powerset(the_carrier(X2)))|~transitive_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2019]), ['final']).
% 282.28/198.92 cnf(i_0_5061, plain, (full_subnetstr(esk245_2(X1,X2),X1,X2)|empty_carrier(X2)|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2310]), ['final']).
% 282.28/198.92 cnf(i_0_5062, plain, (subnetstr(esk245_2(X1,X2),X1,X2)|empty_carrier(X2)|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2310]), ['final']).
% 282.28/198.92 cnf(i_0_5063, lemma, (relation_dom(X1)=set_difference(relation_dom(X2),set_difference(relation_dom(X2),X3))|X1!=relation_dom_restriction(X2,X3)|~function(X2)|~function(X1)|~relation(X2)|~relation(X1)), inference(rw,[status(thm)],[i_0_2311, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5064, plain, (relation(X1)|esk51_1(X1)!=unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2))), inference(rw,[status(thm)],[i_0_2312, c_0_1285]), ['final']).
% 282.28/198.92 cnf(i_0_5065, plain, (esk110_2(X1,X2)=apply(X1,esk111_2(X1,X2))|in(esk110_2(X1,X2),X2)|X2=relation_rng(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2210]), ['final']).
% 282.28/198.92 cnf(i_0_5066, plain, (in(esk66_2(X1,X2),X2)|upper_relstr_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2065]), ['final']).
% 282.28/198.92 cnf(i_0_5067, plain, (in(esk60_2(X1,X2),X2)|directed_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1766]), ['final']).
% 282.28/198.92 cnf(i_0_5068, plain, (in(esk59_2(X1,X2),X2)|directed_subset(X2,X1)|~element(X2,powerset(the_carrier(X1)))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1766]), ['final']).
% 282.28/198.92 cnf(i_0_5069, lemma, (apply(esk475_1(X2),X1)=unordered_pair(X1,X1)|esk473_1(X2)!=esk472_1(X2)|X3!=unordered_pair(esk474_1(X2),esk474_1(X2))|~in(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2313, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5070, lemma, (apply(X2,X1)=apply(X3,X1)|~in(X1,relation_dom(X2))|X2!=relation_dom_restriction(X3,X4)|~relation(X3)|~function(X3)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_961]), ['final']).
% 282.28/198.92 cnf(i_0_5071, lemma, (X1=identity_relation(X2)|apply(X1,esk524_2(X2,X1))!=esk524_2(X2,X1)|relation_dom(X1)!=X2|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2314]), ['final']).
% 282.28/198.92 cnf(i_0_5072, plain, (relation_restriction(X1,X2)=set_difference(X1,set_difference(X1,cartesian_product2(X2,X2)))|~relation(X1)), inference(rw,[status(thm)],[i_0_2315, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5073, plain, (subrelstr(X1,X2)|~subset(the_carrier(X1),the_carrier(X2))|~subset(the_InternalRel(X1),the_InternalRel(X2))|~rel_str(X1)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2316]), ['final']).
% 282.28/198.92 cnf(i_0_5074, plain, (X1=unordered_pair(esk315_2(X2,X1),esk315_2(X2,X1))|esk313_1(X2)!=esk312_1(X2)|~in(X1,esk314_1(X2))), inference(rw,[status(thm)],[i_0_2317, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5075, plain, (in(esk104_2(X1,X2),esk105_2(X1,X2))|in(esk104_2(X1,X2),X2)|X2=union(X1)), inference(split_conjunct,[status(thm)],[i_0_2223]), ['final']).
% 282.28/198.92 cnf(i_0_5076, lemma, (subset(cartesian_product2(X1,X3),cartesian_product2(X2,X4))|~subset(X1,X2)|~subset(X3,X4)), inference(split_conjunct,[status(thm)],[i_0_2318]), ['final']).
% 282.28/198.92 cnf(i_0_5077, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk467_2(X1,X2),X1)|esk462_2(X1,X2)=esk466_2(X1,X2)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_5078, lemma, (relation_dom(esk469_2(X1,X2))=X1|in(esk467_2(X1,X2),X1)|esk462_2(X1,X2)=esk465_2(X1,X2)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_5079, plain, (in(esk547_1(X1),X1)|X1=empty_set|epred1_0|~element(X1,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|esk545_1(X2)!=X2|~in(X2,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5080, lemma, (X1=empty_set|in(X3,X2)|in(X3,subset_complement(X1,X2))|~element(X2,powerset(X1))|~element(X3,X1)), inference(split_conjunct,[status(thm)],[i_0_2319]), ['final']).
% 282.28/198.92 cnf(i_0_5081, lemma, (in(X1,cartesian_product2(X2,X2))|~in(X1,relation_restriction(X3,X2))|~relation(X3)), inference(split_conjunct,[status(thm)],[i_0_2263]), ['final']).
% 282.28/198.92 cnf(i_0_5082, lemma, (relation(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|esk462_2(X1,X2)=esk466_2(X1,X2)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_5083, lemma, (function(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|esk462_2(X1,X2)=esk466_2(X1,X2)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_5084, lemma, (relation(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|esk462_2(X1,X2)=esk465_2(X1,X2)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_5085, lemma, (function(esk469_2(X1,X2))|in(esk467_2(X1,X2),X1)|esk462_2(X1,X2)=esk465_2(X1,X2)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_903]), ['final']).
% 282.28/198.92 cnf(i_0_5086, plain, (full_subnetstr(esk243_2(X1,X2),X1,X2)|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2320]), ['final']).
% 282.28/198.92 cnf(i_0_5087, plain, (subnetstr(esk243_2(X1,X2),X1,X2)|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2320]), ['final']).
% 282.28/198.92 cnf(i_0_5088, plain, (subnetstr(esk163_2(X1,X2),X1,X2)|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2321]), ['final']).
% 282.28/198.92 cnf(i_0_5089, plain, (relstr_set_smaller(X1,X2,esk128_2(X1,X2))|~ex_sup_of_relstr_set(X1,X2)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.92 cnf(i_0_5090, plain, (relstr_element_smaller(X1,X2,esk145_2(X1,X2))|~ex_inf_of_relstr_set(X1,X2)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.92 cnf(i_0_5091, plain, (in(esk55_2(X1,X2),X1)|X2=set_meet(X1)|X1=empty_set|~in(esk54_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[i_0_2151]), ['final']).
% 282.28/198.92 cnf(i_0_5092, plain, (in(esk54_2(X1,X2),X2)|in(esk54_2(X1,X2),X3)|X2=set_meet(X1)|X1=empty_set|~in(X3,X1)), inference(split_conjunct,[status(thm)],[i_0_2151]), ['final']).
% 282.28/198.92 cnf(i_0_5093, plain, (element(complements_of_subsets(X2,X1),powerset(powerset(X2)))|~element(X1,powerset(powerset(X2)))), inference(split_conjunct,[status(thm)],[i_0_2322]), ['final']).
% 282.28/198.92 cnf(i_0_5094, plain, (empty_carrier(X1)|element(cast_to_el_of_LattPOSet(X1,X2),the_carrier(poset_of_lattice(X1)))|~lattice(X1)|~latt_str(X1)|~element(X2,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2323]), ['final']).
% 282.28/198.92 cnf(i_0_5095, plain, (~in(X1,X2)|~in(X1,esk541_2(X3,X2))|~in(X3,X2)), inference(split_conjunct,[status(thm)],[i_0_2324]), ['final']).
% 282.28/198.92 cnf(i_0_5096, lemma, (relation(esk252_2(X1,X2))|in(esk249_2(X1,X2),esk251_2(X1,X2))|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891]), ['final']).
% 282.28/198.92 cnf(i_0_5097, lemma, (relation(esk252_2(X1,X2))|in(esk248_2(X1,X2),esk250_2(X1,X2))|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891]), ['final']).
% 282.28/198.92 cnf(i_0_5098, lemma, (function(esk252_2(X1,X2))|in(esk249_2(X1,X2),esk251_2(X1,X2))|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891]), ['final']).
% 282.28/198.92 cnf(i_0_5099, lemma, (function(esk252_2(X1,X2))|in(esk248_2(X1,X2),esk250_2(X1,X2))|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891]), ['final']).
% 282.28/198.92 cnf(i_0_5100, lemma, (finite(esk509_2(X2,X1))|empty_carrier(X2)|~empty(X1)|~element(X1,powerset(the_carrier(X2)))|~transitive_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2019]), ['final']).
% 282.28/198.92 cnf(i_0_5101, lemma, (apply(esk475_1(X2),X1)=unordered_pair(X1,X1)|esk473_1(X2)=unordered_pair(esk471_1(X2),esk471_1(X2))|in(esk474_1(X2),X2)|~in(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2325, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5102, lemma, (apply(esk475_1(X2),X1)=unordered_pair(X1,X1)|esk472_1(X2)=unordered_pair(esk471_1(X2),esk471_1(X2))|in(esk474_1(X2),X2)|~in(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2326, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5103, plain, (in(esk547_1(X1),X1)|X1=empty_set|element(esk544_0,powerset(powerset(empty_set)))|epred1_0|~element(X1,powerset(powerset(esk546_0)))|~in(esk546_0,omega)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5104, lemma, (X1=apply(relation_composition(function_inverse(X2),X2),X1)|~one_to_one(X2)|~in(X1,relation_rng(X2))|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_2327]), ['final']).
% 282.28/198.92 cnf(i_0_5105, lemma, (X1=apply(X2,apply(function_inverse(X2),X1))|~one_to_one(X2)|~in(X1,relation_rng(X2))|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_2327]), ['final']).
% 282.28/198.92 cnf(i_0_5106, plain, (in(esk48_1(X1),the_topology(X1))|subset(esk46_1(X1),the_topology(X1))|topological_space(X1)|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.92 cnf(i_0_5107, plain, (in(esk47_1(X1),the_topology(X1))|subset(esk46_1(X1),the_topology(X1))|topological_space(X1)|~in(the_carrier(X1),the_topology(X1))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.92 cnf(i_0_5108, lemma, (subset(relation_rng(X1),X2)|~relation_of2_as_subset(X1,X3,X2)), inference(split_conjunct,[status(thm)],[i_0_2328]), ['final']).
% 282.28/198.92 cnf(i_0_5109, lemma, (subset(relation_dom(X1),X2)|~relation_of2_as_subset(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2328]), ['final']).
% 282.28/198.92 cnf(i_0_5110, plain, (in(esk111_2(X1,X2),relation_dom(X1))|in(esk110_2(X1,X2),X2)|X2=relation_rng(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2210]), ['final']).
% 282.28/198.92 cnf(i_0_5111, lemma, (subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2329]), ['final']).
% 282.28/198.92 cnf(i_0_5112, lemma, (X1=X2|~subset(unordered_pair(X1,X1),unordered_pair(X2,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2330, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5113, plain, (closed_subset(topstr_closure(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2331]), ['final']).
% 282.28/198.92 cnf(i_0_5114, lemma, (open_subset(interior(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2332]), ['final']).
% 282.28/198.92 cnf(i_0_5115, plain, (open_subset(interior(X1,X2),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2333]), ['final']).
% 282.28/198.92 cnf(i_0_5116, plain, (open_subset(X1,X2)|~in(X1,the_topology(X2))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2334]), ['final']).
% 282.28/198.92 cnf(i_0_5117, plain, (in(X1,X3)|X1!=X2|X3!=unordered_triple(X2,X4,X5)), inference(split_conjunct,[status(thm)],[i_0_1594]), ['final']).
% 282.28/198.92 cnf(i_0_5118, plain, (in(X1,X3)|X1!=X2|X3!=unordered_triple(X4,X2,X5)), inference(split_conjunct,[status(thm)],[i_0_1594]), ['final']).
% 282.28/198.92 cnf(i_0_5119, plain, (in(X1,X3)|X1!=X2|X3!=unordered_triple(X4,X5,X2)), inference(split_conjunct,[status(thm)],[i_0_1594]), ['final']).
% 282.28/198.92 cnf(i_0_5120, plain, (epred1_0|in(set_union2(esk546_0,unordered_pair(esk546_0,esk546_0)),omega)|esk545_1(X1)!=X1|~in(X1,esk544_0)), inference(rw,[status(thm)],[i_0_2335, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5121, lemma, (closed_subset(X2,X1)|~topological_space(X1)|topstr_closure(X1,X2)!=X2|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2336]), ['final']).
% 282.28/198.92 cnf(i_0_5122, lemma, (in(X1,cartesian_product2(X2,X3))|~in(X1,esk430_2(X2,X3))), inference(split_conjunct,[status(thm)],[i_0_936]), ['final']).
% 282.28/198.92 cnf(i_0_5123, plain, (esk313_1(X1)=unordered_pair(esk311_1(X1),esk311_1(X1))|in(esk315_2(X1,X2),X1)|~in(X2,esk314_1(X1))), inference(rw,[status(thm)],[i_0_2337, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5124, plain, (esk312_1(X1)=unordered_pair(esk311_1(X1),esk311_1(X1))|in(esk315_2(X1,X2),X1)|~in(X2,esk314_1(X1))), inference(rw,[status(thm)],[i_0_2338, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5125, plain, (element(esk32_2(X1,X2),the_carrier(X1))|X2=bottom_of_semilattstr(X1)|empty_carrier(X1)|~element(X2,the_carrier(X1))|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1994]), ['final']).
% 282.28/198.92 cnf(i_0_5126, plain, (X2=unordered_pair(X1,X1)|esk56_2(X1,X2)!=X1|~in(esk56_2(X1,X2),X2)), inference(rw,[status(thm)],[i_0_2339, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5127, plain, (in(X1,the_topology(X2))|~open_subset(X1,X2)|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2334]), ['final']).
% 282.28/198.92 cnf(i_0_5128, plain, (v1_partfun1(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2340]), ['final']).
% 282.28/198.92 cnf(i_0_5129, plain, (in(X1,X2)|X3!=set_difference(X2,set_difference(X2,X4))|~in(X1,X3)), inference(rw,[status(thm)],[i_0_2341, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5130, plain, (in(X1,X2)|X3!=set_difference(X4,set_difference(X4,X2))|~in(X1,X3)), inference(rw,[status(thm)],[i_0_2342, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5131, lemma, (ordinal_subset(esk523_2(X2,X3),X1)|X2=empty_set|~ordinal(X1)|~in(X1,X2)|~subset(X2,X3)|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_2343]), ['final']).
% 282.28/198.92 cnf(i_0_5132, plain, (in(apply(X1,X2),X3)|~in(X2,X4)|X4!=relation_inverse_image(X1,X3)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_1721]), ['final']).
% 282.28/198.92 cnf(i_0_5133, plain, (epred1_0|element(esk544_0,powerset(powerset(empty_set)))|in(set_union2(esk546_0,unordered_pair(esk546_0,esk546_0)),omega)), inference(rw,[status(thm)],[i_0_2344, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5134, lemma, (in(esk507_2(X1,X2),X2)|X2=empty_set|~element(X2,powerset(powerset(X1)))|~finite(X1)), inference(split_conjunct,[status(thm)],[i_0_2218]), ['final']).
% 282.28/198.92 cnf(i_0_5135, lemma, (in(apply(esk516_1(X2),X1),X1)|in(esk515_1(X2),X2)|empty(X2)|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2345]), ['final']).
% 282.28/198.92 cnf(i_0_5136, lemma, (subset(interior(X1,X2),X2)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2346]), ['final']).
% 282.28/198.92 cnf(i_0_5137, lemma, (subset(X2,topstr_closure(X1,X2))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))), inference(split_conjunct,[status(thm)],[i_0_2347]), ['final']).
% 282.28/198.92 cnf(i_0_5138, lemma, (apply(esk475_1(X2),X1)=unordered_pair(X1,X1)|in(esk471_1(X2),X2)|in(esk474_1(X2),X2)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2348, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5139, plain, (element(meet_of_subsets(X2,X1),powerset(X2))|~element(X1,powerset(powerset(X2)))), inference(split_conjunct,[status(thm)],[i_0_2349]), ['final']).
% 282.28/198.92 cnf(i_0_5140, plain, (element(union_of_subsets(X2,X1),powerset(X2))|~element(X1,powerset(powerset(X2)))), inference(split_conjunct,[status(thm)],[i_0_2350]), ['final']).
% 282.28/198.92 cnf(i_0_5141, plain, (element(esk167_2(X1,X2),the_carrier(X2))|empty_carrier(X2)|~in(X1,a_1_0_filter_1(X2))|~lattice(X2)|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1828]), ['final']).
% 282.28/198.92 cnf(i_0_5142, plain, (element(esk166_2(X1,X2),the_carrier(X2))|empty_carrier(X2)|~in(X1,a_1_0_filter_1(X2))|~lattice(X2)|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1828]), ['final']).
% 282.28/198.92 cnf(i_0_5143, plain, (esk313_1(X2)=unordered_pair(esk311_1(X2),esk311_1(X2))|in(X3,esk314_1(X2))|X3!=unordered_pair(X1,X1)|~in(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2351, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5144, plain, (esk312_1(X2)=unordered_pair(esk311_1(X2),esk311_1(X2))|in(X3,esk314_1(X2))|X3!=unordered_pair(X1,X1)|~in(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2352, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5145, lemma, (topstr_closure(X2,X1)=X1|~closed_subset(X1,X2)|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2336]), ['final']).
% 282.28/198.92 cnf(i_0_5146, plain, (relation(set_difference(X1,set_difference(X1,X2)))|~relation(X2)|~relation(X1)), inference(rw,[status(thm)],[i_0_2353, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5147, plain, (epsilon_connected(set_union2(X1,unordered_pair(X1,X1)))|~natural(X1)|~ordinal(X1)), inference(rw,[status(thm)],[i_0_2354, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5148, plain, (epsilon_transitive(set_union2(X1,unordered_pair(X1,X1)))|~natural(X1)|~ordinal(X1)), inference(rw,[status(thm)],[i_0_2355, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5149, plain, (ordinal(set_union2(X1,unordered_pair(X1,X1)))|~natural(X1)|~ordinal(X1)), inference(rw,[status(thm)],[i_0_2356, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5150, plain, (natural(set_union2(X1,unordered_pair(X1,X1)))|~natural(X1)|~ordinal(X1)), inference(rw,[status(thm)],[i_0_2357, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5151, lemma, (subset(relation_inverse_image(X1,X2),relation_inverse_image(X1,X3))|~relation(X1)|~subset(X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2358]), ['final']).
% 282.28/198.92 cnf(i_0_5152, lemma, (relation_rng(relation_rng_restriction(X2,X1))=set_difference(relation_rng(X1),set_difference(relation_rng(X1),X2))|~relation(X1)), inference(rw,[status(thm)],[i_0_2359, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5153, lemma, (relation_dom(relation_dom_restriction(X1,X2))=set_difference(relation_dom(X1),set_difference(relation_dom(X1),X2))|~relation(X1)), inference(rw,[status(thm)],[i_0_2360, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5154, plain, (in(X1,esk543_2(X3,X2))|~subset(X1,X2)|~in(X2,esk542_1(X3))), inference(split_conjunct,[status(thm)],[i_0_2361]), ['final']).
% 282.28/198.92 cnf(i_0_5155, plain, (element(esk21_2(X1,X2),the_carrier(X1))|lower_bounded_semilattstr(X1)|empty_carrier(X1)|~element(X2,the_carrier(X1))|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2008]), ['final']).
% 282.28/198.92 cnf(i_0_5156, plain, (in(esk547_1(X1),X1)|X1=empty_set|in(empty_set,omega)|epred1_0|~element(X1,powerset(powerset(esk546_0)))|~in(esk546_0,omega)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5157, plain, (in(X3,X4)|~in(X1,relation_dom(X2))|X3!=apply(X2,X1)|X4!=relation_rng(X2)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_2210]), ['final']).
% 282.28/198.92 cnf(i_0_5158, plain, (in(esk315_2(X1,X2),X1)|in(esk311_1(X1),X1)|~in(X2,esk314_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1078]), ['final']).
% 282.28/198.92 cnf(i_0_5159, plain, (in(esk315_2(X1,X2),X1)|in(esk311_1(X1),X1)|~in(X2,esk314_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1078]), ['final']).
% 282.28/198.92 cnf(i_0_5160, lemma, (subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))|~relation(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2362]), ['final']).
% 282.28/198.92 cnf(i_0_5161, lemma, (subset(relation_dom(relation_composition(X1,X2)),relation_dom(X1))|~relation(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2363]), ['final']).
% 282.28/198.92 cnf(i_0_5162, lemma, (relstr_set_smaller(X1,empty_set,X2)|~element(X2,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2364]), ['final']).
% 282.28/198.92 cnf(i_0_5163, lemma, (relstr_element_smaller(X1,empty_set,X2)|~element(X2,the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2364]), ['final']).
% 282.28/198.92 cnf(i_0_5164, plain, (complements_of_subsets(X2,complements_of_subsets(X2,X1))=X1|~element(X1,powerset(powerset(X2)))), inference(split_conjunct,[status(thm)],[i_0_2365]), ['final']).
% 282.28/198.92 cnf(i_0_5165, plain, (full_subrelstr(X1,X2)|the_InternalRel(X1)!=relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X1))|~subrelstr(X1,X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2366]), ['final']).
% 282.28/198.92 cnf(i_0_5166, lemma, (subset(set_difference(X1,set_difference(X1,X2)),X1)), inference(rw,[status(thm)],[i_0_2367, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5167, lemma, (in(X1,set_union2(X1,unordered_pair(X1,X1)))), inference(rw,[status(thm)],[i_0_2368, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5168, plain, (relation_of2_as_subset(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2369]), ['final']).
% 282.28/198.92 cnf(i_0_5169, plain, (v1_partfun1(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2369]), ['final']).
% 282.28/198.92 cnf(i_0_5170, lemma, (apply(relation_dom_restriction(X1,X3),X2)=apply(X1,X2)|~relation(X1)|~function(X1)|~in(X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2370]), ['final']).
% 282.28/198.92 cnf(i_0_5171, lemma, (apply(esk475_1(X2),X1)=unordered_pair(X1,X1)|in(esk474_1(X2),X2)|esk473_1(X2)!=esk472_1(X2)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2371, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5172, lemma, (relation_rng(relation_composition(X2,X1))=relation_rng(X1)|~relation(X1)|~relation(X2)|~subset(relation_dom(X1),relation_rng(X2))), inference(split_conjunct,[status(thm)],[i_0_2372]), ['final']).
% 282.28/198.92 cnf(i_0_5173, lemma, (relation_dom(relation_composition(X1,X2))=relation_dom(X1)|~relation(X1)|~relation(X2)|~subset(relation_rng(X1),relation_dom(X2))), inference(split_conjunct,[status(thm)],[i_0_2373]), ['final']).
% 282.28/198.92 cnf(i_0_5174, lemma, (finite(set_difference(X1,set_difference(X1,X2)))|~finite(X1)), inference(rw,[status(thm)],[i_0_2374, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5175, plain, (finite(set_difference(X1,set_difference(X1,X2)))|~finite(X1)), inference(rw,[status(thm)],[i_0_2375, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5176, plain, (finite(set_difference(X2,set_difference(X2,X1)))|~finite(X1)), inference(rw,[status(thm)],[i_0_2376, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5177, plain, (epsilon_connected(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)), inference(rw,[status(thm)],[i_0_2377, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5178, plain, (epsilon_transitive(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)), inference(rw,[status(thm)],[i_0_2378, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5179, plain, (ordinal(set_union2(X1,unordered_pair(X1,X1)))|~ordinal(X1)), inference(rw,[status(thm)],[i_0_2379, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5180, plain, (v5_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X1)), inference(rw,[status(thm)],[i_0_2380, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5181, plain, (v5_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2)), inference(rw,[status(thm)],[i_0_2381, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5182, plain, (v4_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X1)), inference(rw,[status(thm)],[i_0_2382, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5183, plain, (v4_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2)), inference(rw,[status(thm)],[i_0_2383, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5184, plain, (v4_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X1)), inference(rw,[status(thm)],[i_0_2384, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5185, plain, (v4_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2)), inference(rw,[status(thm)],[i_0_2385, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5186, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X1)), inference(rw,[status(thm)],[i_0_2386, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5187, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2)), inference(rw,[status(thm)],[i_0_2387, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5188, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X1)), inference(rw,[status(thm)],[i_0_2388, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5189, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2)), inference(rw,[status(thm)],[i_0_2389, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5190, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X1)), inference(rw,[status(thm)],[i_0_2390, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5191, plain, (v3_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2)), inference(rw,[status(thm)],[i_0_2391, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5192, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X1)), inference(rw,[status(thm)],[i_0_2392, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5193, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2)), inference(rw,[status(thm)],[i_0_2393, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5194, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X1)), inference(rw,[status(thm)],[i_0_2394, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5195, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2)), inference(rw,[status(thm)],[i_0_2395, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5196, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X1)), inference(rw,[status(thm)],[i_0_2396, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5197, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2)), inference(rw,[status(thm)],[i_0_2397, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5198, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v2_membered(X1)), inference(rw,[status(thm)],[i_0_2398, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5199, plain, (v2_membered(set_difference(X1,set_difference(X1,X2)))|~v2_membered(X2)), inference(rw,[status(thm)],[i_0_2399, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5200, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X1)), inference(rw,[status(thm)],[i_0_2400, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5201, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v5_membered(X2)), inference(rw,[status(thm)],[i_0_2401, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5202, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X1)), inference(rw,[status(thm)],[i_0_2402, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5203, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v4_membered(X2)), inference(rw,[status(thm)],[i_0_2403, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5204, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X1)), inference(rw,[status(thm)],[i_0_2404, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5205, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v3_membered(X2)), inference(rw,[status(thm)],[i_0_2405, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5206, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v2_membered(X1)), inference(rw,[status(thm)],[i_0_2406, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5207, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v2_membered(X2)), inference(rw,[status(thm)],[i_0_2407, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5208, plain, (v1_membered(set_difference(X1,set_difference(X1,X2)))|~v1_membered(X1)), inference(rw,[status(thm)],[i_0_2408, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5209, plain, (v1_membered(set_difference(X2,set_difference(X2,X1)))|~v1_membered(X1)), inference(rw,[status(thm)],[i_0_2409, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5210, lemma, (subset(set_difference(X1,X3),set_difference(X2,X3))|~subset(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2410]), ['final']).
% 282.28/198.92 cnf(i_0_5211, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))|~subset(X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2411]), ['final']).
% 282.28/198.92 cnf(i_0_5212, lemma, (subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))|~subset(X1,X3)), inference(split_conjunct,[status(thm)],[i_0_2411]), ['final']).
% 282.28/198.92 cnf(i_0_5213, plain, (in(esk77_2(X1,X2),X2)|X2=empty_set|~subset(X2,relation_field(X1))|~well_founded_relation(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2245]), ['final']).
% 282.28/198.92 cnf(i_0_5214, plain, (X1=X2|~epred2_3(X2,X3,X1)), inference(split_conjunct,[status(thm)],[i_0_1555]), ['final']).
% 282.28/198.92 cnf(i_0_5215, plain, (X1=X2|~epred2_3(X3,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1555]), ['final']).
% 282.28/198.92 cnf(i_0_5216, plain, (X1=latt_str_of(the_carrier(X1),the_L_join(X1),the_L_meet(X1))|~latt_str(X1)|~strict_latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2412]), ['final']).
% 282.28/198.92 cnf(i_0_5217, plain, (relation_of2_as_subset(relation_restriction_as_relation_of(X1,X2),X2,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2413]), ['final']).
% 282.28/198.92 cnf(i_0_5218, lemma, (relation_image(X1,relation_inverse_image(X1,X2))=X2|~relation(X1)|~function(X1)|~subset(X2,relation_rng(X1))), inference(split_conjunct,[status(thm)],[i_0_2414]), ['final']).
% 282.28/198.92 cnf(i_0_5219, plain, (in(X3,esk314_1(X2))|in(esk311_1(X2),X2)|X3!=unordered_pair(X1,X1)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2415, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5220, plain, (in(X3,esk314_1(X2))|in(esk311_1(X2),X2)|X3!=unordered_pair(X1,X1)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2416, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5221, plain, (epred1_0|in(empty_set,omega)|in(set_union2(esk546_0,unordered_pair(esk546_0,esk546_0)),omega)), inference(rw,[status(thm)],[i_0_2417, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5222, lemma, (set_difference(X1,unordered_pair(X2,X2))!=X1|~in(X2,X1)), inference(rw,[status(thm)],[i_0_2418, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5223, lemma, (relation_dom_restriction(relation_rng_restriction(X2,X1),X3)=relation_rng_restriction(X2,relation_dom_restriction(X1,X3))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2419]), ['final']).
% 282.28/198.92 cnf(i_0_5224, lemma, (well_orders(esk175_2(X1,X2),X1)|~well_ordering(X2)|~equipotent(X1,relation_field(X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2420]), ['final']).
% 282.28/198.92 cnf(i_0_5225, plain, (empty_carrier(X1)|empty_carrier(X2)|~empty(the_mapping(X1,X2))|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2273]), ['final']).
% 282.28/198.92 cnf(i_0_5226, lemma, (element(esk500_1(X1),powerset(powerset(the_carrier(X1))))|compact_top_space(X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2201]), ['final']).
% 282.28/198.92 cnf(i_0_5227, lemma, (relation(esk252_2(X1,X2))|empty(X1)|esk248_2(X1,X2)!=esk249_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891]), ['final']).
% 282.28/198.92 cnf(i_0_5228, lemma, (function(esk252_2(X1,X2))|empty(X1)|esk248_2(X1,X2)!=esk249_2(X1,X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891]), ['final']).
% 282.28/198.92 cnf(i_0_5229, lemma, (X2!=set_union2(X1,unordered_pair(X1,X1))|~ordinal(X2)|~ordinal(X1)|~being_limit_ordinal(X2)), inference(rw,[status(thm)],[i_0_2421, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5230, lemma, (~in(X1,X2)|~disjoint(unordered_pair(X1,X1),X2)), inference(rw,[status(thm)],[i_0_2422, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5231, plain, (in(esk105_2(X1,X2),X1)|in(esk104_2(X1,X2),X2)|X2=union(X1)), inference(split_conjunct,[status(thm)],[i_0_2223]), ['final']).
% 282.28/198.92 cnf(i_0_5232, plain, (in(esk65_2(X1,X2),X2)|subset(esk65_2(X1,X2),X1)|X2=powerset(X1)), inference(split_conjunct,[status(thm)],[i_0_2271]), ['final']).
% 282.28/198.92 cnf(i_0_5233, plain, (in(esk315_2(X1,X2),X1)|~in(X2,esk314_1(X1))|esk312_1(X1)!=esk313_1(X1)), inference(split_conjunct,[status(thm)],[i_0_1078]), ['final']).
% 282.28/198.92 cnf(i_0_5234, lemma, (subset(set_union2(X1,X3),X2)|~subset(X1,X2)|~subset(X3,X2)), inference(split_conjunct,[status(thm)],[i_0_2423]), ['final']).
% 282.28/198.92 cnf(i_0_5235, lemma, (subset(unordered_pair(X1,X3),X2)|~in(X1,X2)|~in(X3,X2)), inference(split_conjunct,[status(thm)],[i_0_2424]), ['final']).
% 282.28/198.92 cnf(i_0_5236, plain, (empty_carrier(X1)|cast_to_el_of_lattice(X1,X2)=X2|~lattice(X1)|~latt_str(X1)|~element(X2,the_carrier(poset_of_lattice(X1)))), inference(split_conjunct,[status(thm)],[i_0_2425]), ['final']).
% 282.28/198.92 cnf(i_0_5237, lemma, (subset(relation_rng(relation_rng_restriction(X2,X1)),relation_rng(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2426]), ['final']).
% 282.28/198.92 cnf(i_0_5238, lemma, (subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2427]), ['final']).
% 282.28/198.92 cnf(i_0_5239, lemma, (subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2428]), ['final']).
% 282.28/198.92 cnf(i_0_5240, lemma, (subset(relation_dom(relation_rng_restriction(X2,X1)),relation_dom(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2429]), ['final']).
% 282.28/198.92 cnf(i_0_5241, lemma, (in(X1,X2)|~in(X1,relation_restriction(X2,X3))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2263]), ['final']).
% 282.28/198.92 cnf(i_0_5242, lemma, (relation_dom(esk475_1(X1))=X1|esk473_1(X1)=unordered_pair(esk471_1(X1),esk471_1(X1))|X2!=unordered_pair(esk474_1(X1),esk474_1(X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2430, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5243, lemma, (relation_dom(esk475_1(X1))=X1|esk472_1(X1)=unordered_pair(esk471_1(X1),esk471_1(X1))|X2!=unordered_pair(esk474_1(X1),esk474_1(X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2431, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5244, plain, (filtered_subset(X1,X2)|empty_carrier(X2)|~element(X1,powerset(the_carrier(X2)))|~connected_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2432]), ['final']).
% 282.28/198.92 cnf(i_0_5245, plain, (directed_subset(X1,X2)|empty_carrier(X2)|~element(X1,powerset(the_carrier(X2)))|~connected_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2432]), ['final']).
% 282.28/198.92 cnf(i_0_5246, lemma, (in(apply(esk516_1(X2),X1),X1)|esk515_1(X2)=empty_set|empty(X2)|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2345]), ['final']).
% 282.28/198.92 cnf(i_0_5247, lemma, (esk473_1(X1)=unordered_pair(esk471_1(X1),esk471_1(X1))|relation(esk475_1(X1))|X2!=unordered_pair(esk474_1(X1),esk474_1(X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2433, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5248, lemma, (esk473_1(X1)=unordered_pair(esk471_1(X1),esk471_1(X1))|function(esk475_1(X1))|X2!=unordered_pair(esk474_1(X1),esk474_1(X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2434, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5249, lemma, (esk472_1(X1)=unordered_pair(esk471_1(X1),esk471_1(X1))|relation(esk475_1(X1))|X2!=unordered_pair(esk474_1(X1),esk474_1(X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2435, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5250, lemma, (esk472_1(X1)=unordered_pair(esk471_1(X1),esk471_1(X1))|function(esk475_1(X1))|X2!=unordered_pair(esk474_1(X1),esk474_1(X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2436, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5251, lemma, (element(X1,powerset(X2))|~in(esk180_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[i_0_2437]), ['final']).
% 282.28/198.92 cnf(i_0_5252, plain, (proper_element(esk237_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|trivial_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~upper_bounded_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2438]), ['final']).
% 282.28/198.92 cnf(i_0_5253, plain, (element(esk237_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|trivial_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~upper_bounded_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2438]), ['final']).
% 282.28/198.92 cnf(i_0_5254, plain, (in(esk547_1(X1),X1)|X1=empty_set|epred1_0|~element(X1,powerset(powerset(esk546_0)))|~in(esk546_0,omega)|esk544_0!=empty_set), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5255, plain, (in(X2,X3)|X2=X3|in(X3,X2)|~epsilon_connected(X1)|~in(X2,X1)|~in(X3,X1)), inference(split_conjunct,[status(thm)],[i_0_2439]), ['final']).
% 282.28/198.92 cnf(i_0_5256, lemma, (element(esk505_2(X1,X2),the_carrier(X1))|~ex_inf_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1923]), ['final']).
% 282.28/198.92 cnf(i_0_5257, lemma, (element(esk502_2(X1,X2),the_carrier(X1))|~ex_sup_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1924]), ['final']).
% 282.28/198.92 cnf(i_0_5258, lemma, (X1=set_union2(esk528_1(X1),unordered_pair(esk528_1(X1),esk528_1(X1)))|being_limit_ordinal(X1)|~ordinal(X1)), inference(rw,[status(thm)],[i_0_2440, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5259, plain, (the_InternalRel(X1)=relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X1))|~full_subrelstr(X1,X2)|~subrelstr(X1,X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2366]), ['final']).
% 282.28/198.92 cnf(i_0_5260, plain, (ordinal(esk332_2(X1,X2))|~in(X2,esk330_1(X1))|esk328_1(X1)!=esk329_1(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928]), ['final']).
% 282.28/198.92 cnf(i_0_5261, plain, (in(esk517_2(X1,X2),X1)|in(esk517_2(X1,X2),X2)|X1=X2), inference(split_conjunct,[status(thm)],[i_0_2285]), ['final']).
% 282.28/198.92 cnf(i_0_5262, plain, (subset(X1,esk549_1(X1))|subset(X2,esk545_1(X2))|epred1_0|~in(X1,esk548_0)|~in(X2,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5263, lemma, (relation(esk252_2(X1,X2))|in(esk247_2(X1,X2),X1)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891]), ['final']).
% 282.28/198.92 cnf(i_0_5264, lemma, (relation(esk252_2(X1,X2))|in(esk247_2(X1,X2),X1)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891]), ['final']).
% 282.28/198.92 cnf(i_0_5265, lemma, (function(esk252_2(X1,X2))|in(esk247_2(X1,X2),X1)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891]), ['final']).
% 282.28/198.92 cnf(i_0_5266, lemma, (function(esk252_2(X1,X2))|in(esk247_2(X1,X2),X1)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891]), ['final']).
% 282.28/198.92 cnf(i_0_5267, plain, (empty_carrier(X2)|~empty_carrier(esk245_2(X1,X2))|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2310]), ['final']).
% 282.28/198.92 cnf(i_0_5268, plain, (in(X1,relation_dom(X2))|~in(X1,X3)|X3!=relation_inverse_image(X2,X4)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1721]), ['final']).
% 282.28/198.92 cnf(i_0_5269, plain, (relstr_element_smaller(X1,the_carrier(X1),esk108_1(X1))|~lower_bounded_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2246]), ['final']).
% 282.28/198.92 cnf(i_0_5270, plain, (subset(X1,esk549_1(X1))|in(esk545_1(X2),esk544_0)|epred1_0|~in(X1,esk548_0)|~in(X2,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5271, plain, (in(esk549_1(X1),esk548_0)|subset(X2,esk545_1(X2))|epred1_0|~in(X1,esk548_0)|~in(X2,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5272, plain, (relation_of2_as_subset(esk164_2(X1,X2),X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2441]), ['final']).
% 282.28/198.92 cnf(i_0_5273, plain, (quasi_total(esk191_2(X1,X2),X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2442]), ['final']).
% 282.28/198.92 cnf(i_0_5274, plain, (relation_of2(esk215_2(X1,X2),X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2443]), ['final']).
% 282.28/198.92 cnf(i_0_5275, plain, (relation_of2(esk191_2(X1,X2),X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2442]), ['final']).
% 282.28/198.92 cnf(i_0_5276, plain, (relation_of2(esk160_2(X1,X2),X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2444]), ['final']).
% 282.28/198.92 cnf(i_0_5277, lemma, (ordinal_subset(esk269_1(X2),X1)|~ordinal(X1)|~in(X1,X2)|~ordinal(X3)|~in(X3,X2)), inference(split_conjunct,[status(thm)],[i_0_2445]), ['final']).
% 282.28/198.92 cnf(i_0_5278, plain, (in(X3,esk314_1(X2))|X3!=unordered_pair(X1,X1)|esk313_1(X2)!=esk312_1(X2)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2446, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5279, plain, (relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2447]), ['final']).
% 282.28/198.92 cnf(i_0_5280, plain, (relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2448]), ['final']).
% 282.28/198.92 cnf(i_0_5281, plain, (quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2447]), ['final']).
% 282.28/198.92 cnf(i_0_5282, lemma, (X1=empty_set|X1=unordered_pair(X2,X2)|~subset(X1,unordered_pair(X2,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2449, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5283, lemma, (X1=empty_set|X1=unordered_pair(X2,X2)|~subset(X1,unordered_pair(X2,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2450, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5284, negated_conjecture, (proper_element(esk519_0,powerset(the_carrier(incl_POSet(powerset(esk518_0)))))), inference(rw,[status(thm)],[i_0_2451, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5285, negated_conjecture, (element(esk519_0,powerset(the_carrier(incl_POSet(powerset(esk518_0)))))), inference(rw,[status(thm)],[i_0_2452, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5286, plain, (set_difference(X1,set_difference(X1,X2))=set_difference(X2,set_difference(X2,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2453, c_0_1814]), c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5287, plain, (in(esk549_1(X1),esk548_0)|in(esk545_1(X2),esk544_0)|epred1_0|~in(X1,esk548_0)|~in(X2,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5288, lemma, (subset(relation_rng(relation_rng_restriction(X2,X1)),X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2454]), ['final']).
% 282.28/198.92 cnf(i_0_5289, lemma, (subset(relation_field(relation_restriction(X1,X2)),X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2428]), ['final']).
% 282.28/198.92 cnf(i_0_5290, plain, (element(esk43_2(X1,X2),powerset(X1))|X2=boole_lattice(X1)|the_carrier(X2)!=powerset(X1)|~strict_latt_str(X2)|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1770]), ['final']).
% 282.28/198.92 cnf(i_0_5291, plain, (element(esk42_2(X1,X2),powerset(X1))|X2=boole_lattice(X1)|the_carrier(X2)!=powerset(X1)|~strict_latt_str(X2)|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_1770]), ['final']).
% 282.28/198.92 cnf(i_0_5292, plain, (related(X1,esk81_1(X1),esk82_1(X1))|transitive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1970]), ['final']).
% 282.28/198.92 cnf(i_0_5293, plain, (related(X1,esk80_1(X1),esk81_1(X1))|transitive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1970]), ['final']).
% 282.28/198.92 cnf(i_0_5294, plain, (element(subset_complement(X2,X1),powerset(X2))|~element(X1,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2455]), ['final']).
% 282.28/198.92 cnf(i_0_5295, plain, (in(esk543_2(X1,X2),esk542_1(X1))|~in(X2,esk542_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2361]), ['final']).
% 282.28/198.92 cnf(i_0_5296, lemma, (relation_field(relation_restriction(X1,X2))=X2|~relation(X1)|~well_ordering(X1)|~subset(X2,relation_field(X1))), inference(split_conjunct,[status(thm)],[i_0_2456]), ['final']).
% 282.28/198.92 cnf(i_0_5297, plain, (subset(X1,X2)|~in(esk94_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[i_0_2457]), ['final']).
% 282.28/198.92 cnf(i_0_5298, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X1),X2)), inference(rw,[status(thm)],[i_0_2458, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5299, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X1),X2)), inference(rw,[status(thm)],[i_0_2459, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5300, lemma, (in(X1,X2)|~subset(unordered_pair(X1,X3),X2)), inference(split_conjunct,[status(thm)],[i_0_2424]), ['final']).
% 282.28/198.92 cnf(i_0_5301, lemma, (in(X1,X2)|~subset(unordered_pair(X3,X1),X2)), inference(split_conjunct,[status(thm)],[i_0_2424]), ['final']).
% 282.28/198.92 cnf(i_0_5302, plain, (disjoint(X1,X2)|set_difference(X1,set_difference(X1,X2))!=empty_set), inference(rw,[status(thm)],[i_0_2460, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5303, plain, (epred1_0|in(set_union2(esk546_0,unordered_pair(esk546_0,esk546_0)),omega)|esk544_0!=empty_set), inference(rw,[status(thm)],[i_0_2461, c_0_1659]), ['final']).
% 282.28/198.92 cnf(i_0_5304, lemma, (relation(esk175_2(X1,X2))|~well_ordering(X2)|~equipotent(X1,relation_field(X2))|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2420]), ['final']).
% 282.28/198.92 cnf(i_0_5305, plain, (element(esk145_2(X1,X2),the_carrier(X1))|~ex_inf_of_relstr_set(X1,X2)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1797]), ['final']).
% 282.28/198.92 cnf(i_0_5306, plain, (element(esk128_2(X1,X2),the_carrier(X1))|~ex_sup_of_relstr_set(X1,X2)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 282.28/198.92 cnf(i_0_5307, lemma, (X1=empty_set|~element(X1,powerset(powerset(X2)))|complements_of_subsets(X2,X1)!=empty_set), inference(split_conjunct,[status(thm)],[i_0_2462]), ['final']).
% 282.28/198.92 cnf(i_0_5308, lemma, (X1=empty_set|complements_of_subsets(X2,X1)!=empty_set|~element(X1,powerset(powerset(X2)))), inference(split_conjunct,[status(thm)],[i_0_2463]), ['final']).
% 282.28/198.92 cnf(i_0_5309, plain, (in(esk408_2(X1,X2),X1)|ordinal(esk406_0)|~in(X2,esk407_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5310, plain, (in(esk408_2(X1,X2),X1)|ordinal(esk405_0)|~in(X2,esk407_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5311, plain, (in(X1,X3)|in(X1,X4)|~in(X1,X2)|X2!=set_union2(X3,X4)), inference(split_conjunct,[status(thm)],[i_0_1927]), ['final']).
% 282.28/198.92 cnf(i_0_5312, plain, (in(X1,X3)|in(X1,X4)|~in(X1,X2)|X4!=set_difference(X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1867]), ['final']).
% 282.28/198.92 cnf(i_0_5313, plain, (in(X3,esk542_1(X2))|~in(X1,esk542_1(X2))|~subset(X3,X1)), inference(split_conjunct,[status(thm)],[i_0_2361]), ['final']).
% 282.28/198.92 cnf(i_0_5314, lemma, (in(X3,esk499_1(X2))|~in(X1,esk499_1(X2))|~subset(X3,X1)), inference(split_conjunct,[status(thm)],[i_0_2465]), ['final']).
% 282.28/198.92 cnf(i_0_5315, lemma, (relation_dom(esk475_1(X1))=X1|in(esk471_1(X1),X1)|X2!=unordered_pair(esk474_1(X1),esk474_1(X1))), inference(rw,[status(thm)],[i_0_2466, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5316, plain, (element(esk89_1(X1),powerset(powerset(the_carrier(X1))))|compact_top_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2128]), ['final']).
% 282.28/198.92 cnf(i_0_5317, plain, (strict_net_str(esk245_2(X1,X2),X1)|empty_carrier(X2)|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2310]), ['final']).
% 282.28/198.92 cnf(i_0_5318, lemma, (relation(esk475_1(X1))|in(esk471_1(X1),X1)|X2!=unordered_pair(esk474_1(X1),esk474_1(X1))), inference(rw,[status(thm)],[i_0_2467, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5319, lemma, (function(esk475_1(X1))|in(esk471_1(X1),X1)|X2!=unordered_pair(esk474_1(X1),esk474_1(X1))), inference(rw,[status(thm)],[i_0_2468, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5320, plain, (in(esk408_2(X1,X2),X1)|~in(X2,esk407_1(X1))|esk405_0!=esk406_0), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5321, plain, (lower_bounded_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~with_suprema_relstr(X1)|~with_infima_relstr(X1)|~bounded_relstr(X1)|~distributive_relstr(X1)|~complemented_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2469]), ['final']).
% 282.28/198.92 cnf(i_0_5322, plain, (upper_bounded_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~with_suprema_relstr(X1)|~with_infima_relstr(X1)|~bounded_relstr(X1)|~distributive_relstr(X1)|~complemented_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2469]), ['final']).
% 282.28/198.92 cnf(i_0_5323, plain, (boolean_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~with_suprema_relstr(X1)|~with_infima_relstr(X1)|~bounded_relstr(X1)|~distributive_relstr(X1)|~complemented_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2469]), ['final']).
% 282.28/198.92 cnf(i_0_5324, plain, (are_equipotent(X1,esk542_1(X2))|in(X1,esk542_1(X2))|~subset(X1,esk542_1(X2))), inference(split_conjunct,[status(thm)],[i_0_2361]), ['final']).
% 282.28/198.92 cnf(i_0_5325, lemma, (are_equipotent(X1,esk499_1(X2))|in(X1,esk499_1(X2))|~subset(X1,esk499_1(X2))), inference(split_conjunct,[status(thm)],[i_0_2465]), ['final']).
% 282.28/198.92 cnf(i_0_5326, plain, (in(esk408_2(X1,X2),X1)|esk404_0=esk406_0|~in(X2,esk407_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5327, plain, (in(esk408_2(X1,X2),X1)|esk404_0=esk405_0|~in(X2,esk407_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5328, plain, (subset_complement(X2,subset_complement(X2,X1))=X1|~element(X1,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2470]), ['final']).
% 282.28/198.92 cnf(i_0_5329, plain, (relation_of2_as_subset(the_InternalRel(incl_POSet(X1)),X1,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2471, c_0_933]), c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_5330, plain, (v1_partfun1(the_InternalRel(incl_POSet(X1)),X1,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2472, c_0_933]), c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_5331, lemma, (subset(X1,cartesian_product2(relation_dom(X1),relation_rng(X1)))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2473]), ['final']).
% 282.28/198.92 cnf(i_0_5332, lemma, (in(esk523_2(X1,X2),X1)|X1=empty_set|~subset(X1,X2)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_2343]), ['final']).
% 282.28/198.92 cnf(i_0_5333, plain, (X2=unordered_pair(X1,X1)|esk56_2(X1,X2)=X1|in(esk56_2(X1,X2),X2)), inference(rw,[status(thm)],[i_0_2474, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5334, plain, (subset(X1,esk549_1(X1))|epred1_0|~in(X1,esk548_0)|esk545_1(X2)!=X2|~in(X2,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5335, plain, (subset(X2,esk545_1(X2))|epred1_0|esk549_1(X1)!=X1|~in(X1,esk548_0)|~in(X2,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5336, lemma, (relation(esk252_2(X1,X2))|esk247_2(X1,X2)=esk251_2(X1,X2)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891]), ['final']).
% 282.28/198.92 cnf(i_0_5337, lemma, (function(esk252_2(X1,X2))|esk247_2(X1,X2)=esk251_2(X1,X2)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891]), ['final']).
% 282.28/198.92 cnf(i_0_5338, lemma, (relation(esk252_2(X1,X2))|esk247_2(X1,X2)=esk250_2(X1,X2)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891]), ['final']).
% 282.28/198.92 cnf(i_0_5339, lemma, (function(esk252_2(X1,X2))|esk247_2(X1,X2)=esk250_2(X1,X2)|empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_891]), ['final']).
% 282.28/198.92 cnf(i_0_5340, plain, (element(esk232_1(X1),powerset(powerset(the_carrier(X1))))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2475]), ['final']).
% 282.28/198.92 cnf(i_0_5341, plain, (element(the_topology(X1),powerset(powerset(the_carrier(X1))))|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2476]), ['final']).
% 282.28/198.92 cnf(i_0_5342, plain, (strict_net_str(esk243_2(X1,X2),X1)|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2320]), ['final']).
% 282.28/198.92 cnf(i_0_5343, lemma, (ordinal(esk434_2(X1,X2))|~in(X2,esk433_1(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_935]), ['final']).
% 282.28/198.92 cnf(i_0_5344, plain, (in(X1,X3)|X4=empty_set|~in(X1,X2)|~in(X3,X4)|X2!=set_meet(X4)), inference(split_conjunct,[status(thm)],[i_0_2151]), ['final']).
% 282.28/198.92 cnf(i_0_5345, plain, (meet_of_subsets(X2,X1)=set_meet(X1)|~element(X1,powerset(powerset(X2)))), inference(split_conjunct,[status(thm)],[i_0_2477]), ['final']).
% 282.28/198.92 cnf(i_0_5346, plain, (union_of_subsets(X2,X1)=union(X1)|~element(X1,powerset(powerset(X2)))), inference(split_conjunct,[status(thm)],[i_0_2478]), ['final']).
% 282.28/198.92 cnf(i_0_5347, plain, (relation(the_mapping(X1,X2))|empty_carrier(X1)|empty_carrier(X2)|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2273]), ['final']).
% 282.28/198.92 cnf(i_0_5348, plain, (function(the_mapping(X1,X2))|empty_carrier(X1)|empty_carrier(X2)|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2273]), ['final']).
% 282.28/198.92 cnf(i_0_5349, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3))), inference(split_conjunct,[status(thm)],[i_0_2479]), ['final']).
% 282.28/198.92 cnf(i_0_5350, lemma, (in(X3,X2)|~element(X1,powerset(X2))|~in(X3,X1)), inference(split_conjunct,[status(thm)],[i_0_2480]), ['final']).
% 282.28/198.92 cnf(i_0_5351, plain, (~in(X1,X2)|~in(X1,X3)|X3!=set_difference(X4,X2)), inference(split_conjunct,[status(thm)],[i_0_1867]), ['final']).
% 282.28/198.92 cnf(i_0_5352, plain, (in(esk549_1(X1),esk548_0)|epred1_0|~in(X1,esk548_0)|esk545_1(X2)!=X2|~in(X2,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5353, plain, (in(esk545_1(X2),esk544_0)|epred1_0|esk549_1(X1)!=X1|~in(X1,esk548_0)|~in(X2,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5354, plain, (X1=omega|~subset(X1,esk112_1(X1))|~in(empty_set,X1)|~being_limit_ordinal(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2481]), ['final']).
% 282.28/198.92 cnf(i_0_5355, lemma, (in(esk524_2(X1,X2),X1)|X2=identity_relation(X1)|relation_dom(X2)!=X1|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_2314]), ['final']).
% 282.28/198.92 cnf(i_0_5356, plain, (in(X1,X4)|~in(X1,X2)|~in(X2,X3)|X4!=union(X3)), inference(split_conjunct,[status(thm)],[i_0_2223]), ['final']).
% 282.28/198.92 cnf(i_0_5357, lemma, (complements_of_subsets(X1,X2)=empty_set|X2!=empty_set|~element(X2,powerset(powerset(X1)))), inference(split_conjunct,[status(thm)],[i_0_2463]), ['final']).
% 282.28/198.92 cnf(i_0_5358, lemma, (~in(X1,X2)|~in(X1,X3)|~disjoint(X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2482]), ['final']).
% 282.28/198.92 cnf(i_0_5359, lemma, (~in(X1,X2)|~in(X2,X3)|~in(X3,X1)), inference(split_conjunct,[status(thm)],[i_0_2483]), ['final']).
% 282.28/198.92 cnf(i_0_5360, lemma, (~proper_element(X1,powerset(X2))|X1!=X2|~element(X1,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2484]), ['final']).
% 282.28/198.92 cnf(i_0_5361, plain, (esk331_2(X1,X2)=X2|~in(X2,esk330_1(X1))|esk328_1(X1)!=esk329_1(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_928]), ['final']).
% 282.28/198.92 cnf(i_0_5362, plain, (X1=esk332_2(X2,X1)|~in(X1,esk330_1(X2))|esk328_1(X2)!=esk329_1(X2)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_928]), ['final']).
% 282.28/198.92 cnf(i_0_5363, lemma, (relation_dom(esk475_1(X1))=X1|esk473_1(X1)!=esk472_1(X1)|X2!=unordered_pair(esk474_1(X1),esk474_1(X1))), inference(rw,[status(thm)],[i_0_2485, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5364, plain, (X2=the_InternalRel(incl_POSet(X1))|in(esk63_2(X1,X2),X1)|relation_field(X2)!=X1|~relation(X2)), inference(rw,[status(thm)],[i_0_2486, c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_5365, plain, (X2=the_InternalRel(incl_POSet(X1))|in(esk62_2(X1,X2),X1)|relation_field(X2)!=X1|~relation(X2)), inference(rw,[status(thm)],[i_0_2487, c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_5366, lemma, (relation(esk475_1(X1))|esk473_1(X1)!=esk472_1(X1)|X2!=unordered_pair(esk474_1(X1),esk474_1(X1))), inference(rw,[status(thm)],[i_0_2488, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5367, lemma, (function(esk475_1(X1))|esk473_1(X1)!=esk472_1(X1)|X2!=unordered_pair(esk474_1(X1),esk474_1(X1))), inference(rw,[status(thm)],[i_0_2489, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5368, plain, (subset(X1,esk549_1(X1))|element(esk544_0,powerset(powerset(empty_set)))|epred1_0|~in(X1,esk548_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5369, plain, (empty_carrier(X1)|cast_to_el_of_LattPOSet(X1,X2)=X2|~lattice(X1)|~latt_str(X1)|~element(X2,the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2490]), ['final']).
% 282.28/198.92 cnf(i_0_5370, plain, (is_connected_in(X1,X2)|esk119_2(X1,X2)!=esk120_2(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_941]), ['final']).
% 282.28/198.92 cnf(i_0_5371, plain, (is_antisymmetric_in(X1,X2)|esk101_2(X1,X2)!=esk102_2(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_959]), ['final']).
% 282.28/198.92 cnf(i_0_5372, plain, (empty_carrier(X1)|meet_of_latt_set(X1,X2)=join_of_latt_set(X1,a_2_2_lattice3(X1,X2))|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2491]), ['final']).
% 282.28/198.92 cnf(i_0_5373, plain, (upper_relstr_subset(esk237_1(X1),X1)|empty_carrier(X1)|trivial_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~upper_bounded_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2438]), ['final']).
% 282.28/198.92 cnf(i_0_5374, plain, (filtered_subset(esk237_1(X1),X1)|empty_carrier(X1)|trivial_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~upper_bounded_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2438]), ['final']).
% 282.28/198.92 cnf(i_0_5375, plain, (in(esk549_1(X1),esk548_0)|element(esk544_0,powerset(powerset(empty_set)))|epred1_0|~in(X1,esk548_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5376, plain, (element(esk182_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2492]), ['final']).
% 282.28/198.92 cnf(i_0_5377, plain, (~v1_yellow_3(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~v3_waybel_3(X1)|~with_suprema_relstr(X1)|~with_infima_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2493]), ['final']).
% 282.28/198.92 cnf(i_0_5378, plain, (~empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~v3_waybel_3(X1)|~with_suprema_relstr(X1)|~with_infima_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2493]), ['final']).
% 282.28/198.92 cnf(i_0_5379, plain, (~empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~with_suprema_relstr(X1)|~lower_bounded_relstr(X1)|~up_complete_relstr(X1)|~v2_waybel_3(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2494]), ['final']).
% 282.28/198.92 cnf(i_0_5380, lemma, (relation_rng(relation_composition(X1,X2))=relation_image(X2,relation_rng(X1))|~relation(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2495]), ['final']).
% 282.28/198.92 cnf(i_0_5381, plain, (transitive_relstr(X1)|~full_subrelstr(X1,X2)|~subrelstr(X1,X2)|~transitive_relstr(X2)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2496]), ['final']).
% 282.28/198.92 cnf(i_0_5382, lemma, (subset(X1,unordered_pair(X2,X2))|X1!=unordered_pair(X2,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2497, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5383, lemma, (subset(X1,unordered_pair(X2,X2))|X1!=unordered_pair(X2,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2498, c_0_882]), c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5384, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2499, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5385, lemma, (set_union2(unordered_pair(X1,X1),X2)=X2|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2500, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5386, lemma, (set_difference(X1,set_difference(X1,X2))=X1|~subset(X1,X2)), inference(rw,[status(thm)],[i_0_2501, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5387, lemma, (X2=set_union2(X1,set_difference(X2,X1))|~subset(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2502]), ['final']).
% 282.28/198.92 cnf(i_0_5388, lemma, (subset(relation_rng(X1),relation_rng(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2503]), ['final']).
% 282.28/198.92 cnf(i_0_5389, lemma, (subset(relation_dom(X1),relation_dom(X2))|~subset(X1,X2)|~relation(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2503]), ['final']).
% 282.28/198.92 cnf(i_0_5390, plain, (subset(the_InternalRel(X1),the_InternalRel(X2))|~subrelstr(X1,X2)|~rel_str(X1)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2316]), ['final']).
% 282.28/198.92 cnf(i_0_5391, plain, (subset(the_carrier(X1),the_carrier(X2))|~subrelstr(X1,X2)|~rel_str(X1)|~rel_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2316]), ['final']).
% 282.28/198.92 cnf(i_0_5392, lemma, (X2=empty_set|~relation(X1)|~subset(X2,relation_rng(X1))|relation_inverse_image(X1,X2)!=empty_set), inference(split_conjunct,[status(thm)],[i_0_2504]), ['final']).
% 282.28/198.92 cnf(i_0_5393, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2505, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5394, lemma, (subset(unordered_pair(X1,X1),X2)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2506, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5395, plain, (in(esk541_2(X1,X2),X2)|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2324]), ['final']).
% 282.28/198.92 cnf(i_0_5396, plain, (set_difference(X1,set_difference(X1,X2))=empty_set|~disjoint(X1,X2)), inference(rw,[status(thm)],[i_0_2507, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5397, lemma, (relation_dom(esk475_1(X1))=X1|esk473_1(X1)=unordered_pair(esk471_1(X1),esk471_1(X1))|in(esk474_1(X1),X1)), inference(rw,[status(thm)],[i_0_2508, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5398, lemma, (relation_dom(esk475_1(X1))=X1|esk472_1(X1)=unordered_pair(esk471_1(X1),esk471_1(X1))|in(esk474_1(X1),X1)), inference(rw,[status(thm)],[i_0_2509, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5399, plain, (~in(X1,X2)|~element(X2,powerset(X3))|~empty(X3)), inference(split_conjunct,[status(thm)],[i_0_2510]), ['final']).
% 282.28/198.92 cnf(i_0_5400, plain, (v2_waybel_2(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~v3_waybel_3(X1)|~with_suprema_relstr(X1)|~with_infima_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2493]), ['final']).
% 282.28/198.92 cnf(i_0_5401, plain, (v1_waybel_2(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~v3_waybel_3(X1)|~with_suprema_relstr(X1)|~with_infima_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2493]), ['final']).
% 282.28/198.92 cnf(i_0_5402, plain, (v3_waybel_3(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~with_suprema_relstr(X1)|~lower_bounded_relstr(X1)|~up_complete_relstr(X1)|~v2_waybel_3(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2494]), ['final']).
% 282.28/198.92 cnf(i_0_5403, plain, (bounded_relstr(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~v3_waybel_3(X1)|~with_suprema_relstr(X1)|~with_infima_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2493]), ['final']).
% 282.28/198.92 cnf(i_0_5404, plain, (upper_bounded_relstr(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~v3_waybel_3(X1)|~with_suprema_relstr(X1)|~with_infima_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2493]), ['final']).
% 282.28/198.92 cnf(i_0_5405, plain, (join_complete_relstr(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~v3_waybel_3(X1)|~with_suprema_relstr(X1)|~with_infima_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2493]), ['final']).
% 282.28/198.92 cnf(i_0_5406, plain, (up_complete_relstr(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~v3_waybel_3(X1)|~with_suprema_relstr(X1)|~with_infima_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2493]), ['final']).
% 282.28/198.92 cnf(i_0_5407, plain, (complete_relstr(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~v3_waybel_3(X1)|~with_suprema_relstr(X1)|~with_infima_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2493]), ['final']).
% 282.28/198.92 cnf(i_0_5408, plain, (subset(esk96_2(X1,X2),X2)|is_well_founded_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2003]), ['final']).
% 282.28/198.92 cnf(i_0_5409, plain, (in(esk52_2(X1,X2),X2)|is_reflexive_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_939]), ['final']).
% 282.28/198.92 cnf(i_0_5410, plain, (in(esk143_2(X1,X2),X2)|is_transitive_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_940]), ['final']).
% 282.28/198.92 cnf(i_0_5411, plain, (in(esk142_2(X1,X2),X2)|is_transitive_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_940]), ['final']).
% 282.28/198.92 cnf(i_0_5412, plain, (in(esk141_2(X1,X2),X2)|is_transitive_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_940]), ['final']).
% 282.28/198.92 cnf(i_0_5413, plain, (in(esk120_2(X1,X2),X2)|is_connected_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_941]), ['final']).
% 282.28/198.92 cnf(i_0_5414, plain, (in(esk119_2(X1,X2),X2)|is_connected_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_941]), ['final']).
% 282.28/198.92 cnf(i_0_5415, plain, (in(esk102_2(X1,X2),X2)|is_antisymmetric_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_959]), ['final']).
% 282.28/198.92 cnf(i_0_5416, plain, (in(esk101_2(X1,X2),X2)|is_antisymmetric_in(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_959]), ['final']).
% 282.28/198.92 cnf(i_0_5417, lemma, (ordinal(esk523_2(X1,X2))|X1=empty_set|~subset(X1,X2)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_2343]), ['final']).
% 282.28/198.92 cnf(i_0_5418, plain, (empty_carrier(X1)|trivial_carrier(X1)|~empty(esk237_1(X1))|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~upper_bounded_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2438]), ['final']).
% 282.28/198.92 cnf(i_0_5419, lemma, (esk473_1(X1)=unordered_pair(esk471_1(X1),esk471_1(X1))|relation(esk475_1(X1))|in(esk474_1(X1),X1)), inference(rw,[status(thm)],[i_0_2511, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5420, lemma, (esk473_1(X1)=unordered_pair(esk471_1(X1),esk471_1(X1))|function(esk475_1(X1))|in(esk474_1(X1),X1)), inference(rw,[status(thm)],[i_0_2512, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5421, lemma, (esk472_1(X1)=unordered_pair(esk471_1(X1),esk471_1(X1))|relation(esk475_1(X1))|in(esk474_1(X1),X1)), inference(rw,[status(thm)],[i_0_2513, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5422, lemma, (esk472_1(X1)=unordered_pair(esk471_1(X1),esk471_1(X1))|function(esk475_1(X1))|in(esk474_1(X1),X1)), inference(rw,[status(thm)],[i_0_2514, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5423, lemma, (relation_restriction(X1,X2)=relation_dom_restriction(relation_rng_restriction(X2,X1),X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2515]), ['final']).
% 282.28/198.92 cnf(i_0_5424, lemma, (relation_restriction(X1,X2)=relation_rng_restriction(X2,relation_dom_restriction(X1,X2))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2516]), ['final']).
% 282.28/198.92 cnf(i_0_5425, lemma, (relation_field(relation_restriction(X1,X2))=X2|~well_orders(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2517]), ['final']).
% 282.28/198.92 cnf(i_0_5426, plain, (in(X1,X2)|~in(X1,X3)|X3!=set_difference(X2,X4)), inference(split_conjunct,[status(thm)],[i_0_1867]), ['final']).
% 282.28/198.92 cnf(i_0_5427, plain, (in(X1,X3)|~in(X1,X2)|X3!=set_union2(X2,X4)), inference(split_conjunct,[status(thm)],[i_0_1927]), ['final']).
% 282.28/198.92 cnf(i_0_5428, plain, (in(X1,X3)|~in(X1,X2)|X3!=set_union2(X4,X2)), inference(split_conjunct,[status(thm)],[i_0_1927]), ['final']).
% 282.28/198.92 cnf(i_0_5429, lemma, (in(esk180_2(X1,X2),X1)|element(X1,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2437]), ['final']).
% 282.28/198.92 cnf(i_0_5430, plain, (relation_of2_as_subset(identity_relation(X1),X1,X1)), inference(rw,[status(thm)],[i_0_2518, c_0_2519]), ['final']).
% 282.28/198.92 cnf(i_0_5431, plain, (onto(esk211_1(X1),X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2520]), ['final']).
% 282.28/198.92 cnf(i_0_5432, plain, (bijective(esk211_1(X1),X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2520]), ['final']).
% 282.28/198.92 cnf(i_0_5433, plain, (quasi_total(esk211_1(X1),X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2520]), ['final']).
% 282.28/198.92 cnf(i_0_5434, plain, (v1_partfun1(esk229_1(X1),X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2521]), ['final']).
% 282.28/198.92 cnf(i_0_5435, plain, (v1_partfun1(identity_relation(X1),X1,X1)), inference(rw,[status(thm)],[i_0_2522, c_0_2519]), ['final']).
% 282.28/198.92 cnf(i_0_5436, plain, (relation_of2(esk229_1(X1),X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2521]), ['final']).
% 282.28/198.92 cnf(i_0_5437, plain, (relation_of2(esk211_1(X1),X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2520]), ['final']).
% 282.28/198.92 cnf(i_0_5438, lemma, (apply(X3,X1)=X1|~in(X1,X2)|X3!=identity_relation(X2)|~relation(X3)|~function(X3)), inference(split_conjunct,[status(thm)],[i_0_2314]), ['final']).
% 282.28/198.92 cnf(i_0_5439, plain, (subset_complement(X2,X1)=set_difference(X2,X1)|~element(X1,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2523]), ['final']).
% 282.28/198.92 cnf(i_0_5440, lemma, (meet_of_latt_set(X1,X2)=meet_on_relstr(poset_of_lattice(X1),X2)|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2524]), ['final']).
% 282.28/198.92 cnf(i_0_5441, lemma, (join_of_latt_set(X1,X2)=join_on_relstr(poset_of_lattice(X1),X2)|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2524]), ['final']).
% 282.28/198.92 cnf(i_0_5442, plain, (X1=empty_set|in(X3,relation_dom(X2))|X1!=apply(X2,X3)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1000]), ['final']).
% 282.28/198.92 cnf(i_0_5443, lemma, (well_ordering(relation_restriction(X1,X2))|~well_orders(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2517]), ['final']).
% 282.28/198.92 cnf(i_0_5444, plain, (function(the_mapping(X1,X2))|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2294]), ['final']).
% 282.28/198.92 cnf(i_0_5445, lemma, (disjoint(X1,X3)|~subset(X1,X2)|~disjoint(X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2525]), ['final']).
% 282.28/198.92 cnf(i_0_5446, lemma, (subset(X1,X3)|~subset(X1,X2)|~subset(X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2526]), ['final']).
% 282.28/198.92 cnf(i_0_5447, plain, (in(X3,X2)|~subset(X1,X2)|~in(X3,X1)), inference(split_conjunct,[status(thm)],[i_0_2457]), ['final']).
% 282.28/198.92 cnf(i_0_5448, plain, (lattice(X1)|empty_carrier(X1)|~join_commutative(X1)|~join_associative(X1)|~meet_commutative(X1)|~meet_associative(X1)|~meet_absorbing(X1)|~join_absorbing(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2527]), ['final']).
% 282.28/198.92 cnf(i_0_5449, plain, (bounded_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~connected_relstr(X1)|~up_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2528]), ['final']).
% 282.28/198.92 cnf(i_0_5450, plain, (bounded_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~with_suprema_relstr(X1)|~lower_bounded_relstr(X1)|~up_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2529]), ['final']).
% 282.28/198.92 cnf(i_0_5451, plain, (bounded_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~upper_bounded_relstr(X1)|~up_complete_relstr(X1)|~join_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2530]), ['final']).
% 282.28/198.92 cnf(i_0_5452, plain, (lower_bounded_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~upper_bounded_relstr(X1)|~up_complete_relstr(X1)|~join_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2530]), ['final']).
% 282.28/198.92 cnf(i_0_5453, plain, (upper_bounded_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~connected_relstr(X1)|~up_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2528]), ['final']).
% 282.28/198.92 cnf(i_0_5454, plain, (upper_bounded_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~with_suprema_relstr(X1)|~lower_bounded_relstr(X1)|~up_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2529]), ['final']).
% 282.28/198.92 cnf(i_0_5455, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~connected_relstr(X1)|~up_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2528]), ['final']).
% 282.28/198.92 cnf(i_0_5456, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~with_suprema_relstr(X1)|~lower_bounded_relstr(X1)|~up_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2529]), ['final']).
% 282.28/198.92 cnf(i_0_5457, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~upper_bounded_relstr(X1)|~up_complete_relstr(X1)|~join_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2530]), ['final']).
% 282.28/198.92 cnf(i_0_5458, plain, (with_suprema_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~connected_relstr(X1)|~up_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2528]), ['final']).
% 282.28/198.92 cnf(i_0_5459, plain, (with_suprema_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~upper_bounded_relstr(X1)|~up_complete_relstr(X1)|~join_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2530]), ['final']).
% 282.28/198.92 cnf(i_0_5460, plain, (join_complete_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~connected_relstr(X1)|~up_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2528]), ['final']).
% 282.28/198.92 cnf(i_0_5461, plain, (complete_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~connected_relstr(X1)|~up_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2528]), ['final']).
% 282.28/198.92 cnf(i_0_5462, plain, (complete_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~with_suprema_relstr(X1)|~lower_bounded_relstr(X1)|~up_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2529]), ['final']).
% 282.28/198.92 cnf(i_0_5463, plain, (complete_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~upper_bounded_relstr(X1)|~up_complete_relstr(X1)|~join_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2530]), ['final']).
% 282.28/198.92 cnf(i_0_5464, plain, (apply(X1,esk132_1(X1))=apply(X1,esk133_1(X1))|one_to_one(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2268]), ['final']).
% 282.28/198.92 cnf(i_0_5465, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~function(X1)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_2531]), ['final']).
% 282.28/198.92 cnf(i_0_5466, plain, (function(relation_composition(X1,X2))|~relation(X1)|~function(X1)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_2531]), ['final']).
% 282.28/198.92 cnf(i_0_5467, lemma, (in(powerset(X1),esk499_1(X2))|~in(X1,esk499_1(X2))), inference(split_conjunct,[status(thm)],[i_0_2465]), ['final']).
% 282.28/198.92 cnf(i_0_5468, plain, (epred1_0|esk549_1(X1)!=X1|~in(X1,esk548_0)|esk545_1(X2)!=X2|~in(X2,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5469, plain, (empty_carrier(X1)|element(meet_of_latt_set(X1,X2),the_carrier(X1))|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2532]), ['final']).
% 282.28/198.92 cnf(i_0_5470, plain, (empty_carrier(X1)|element(join_of_latt_set(X1,X2),the_carrier(X1))|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2533]), ['final']).
% 282.28/198.92 cnf(i_0_5471, plain, (element(esk244_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2534]), ['final']).
% 282.28/198.92 cnf(i_0_5472, plain, (element(esk220_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2535]), ['final']).
% 282.28/198.92 cnf(i_0_5473, plain, (X1!=X2|~in(X1,X3)|X3!=fiber(X4,X2)|~relation(X4)), inference(split_conjunct,[status(thm)],[i_0_907]), ['final']).
% 282.28/198.92 cnf(i_0_5474, plain, (finite(X2)|~relation(X1)|~function(X1)|relation_rng(X1)!=X2|~in(relation_dom(X1),omega)), inference(split_conjunct,[status(thm)],[i_0_2536]), ['final']).
% 282.28/198.92 cnf(i_0_5475, plain, (in(X3,esk407_1(X2))|ordinal(esk406_0)|~in(X1,X2)|X1!=X3|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5476, plain, (in(X3,esk407_1(X2))|ordinal(esk405_0)|~in(X1,X2)|X1!=X3|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5477, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2537]), ['final']).
% 282.28/198.92 cnf(i_0_5478, lemma, (apply(esk493_1(X2),X1)=unordered_pair(X1,X1)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2538, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5479, lemma, (set_difference(X2,unordered_pair(X1,X1))=X2|in(X1,X2)), inference(rw,[status(thm)],[i_0_2539, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5480, plain, (in(X3,esk407_1(X2))|~in(X1,X2)|X1!=X3|~ordinal(X3)|esk405_0!=esk406_0), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5481, plain, (in(empty_set,esk112_1(X1))|X1=omega|~in(empty_set,X1)|~being_limit_ordinal(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2481]), ['final']).
% 282.28/198.92 cnf(i_0_5482, lemma, (X1=X2|proper_element(X1,powerset(X2))|~element(X1,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2484]), ['final']).
% 282.28/198.92 cnf(i_0_5483, plain, (in(X3,esk407_1(X2))|esk404_0=esk406_0|~in(X1,X2)|X1!=X3|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5484, plain, (in(X3,esk407_1(X2))|esk404_0=esk405_0|~in(X1,X2)|X1!=X3|~ordinal(X3)), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5485, lemma, (in(esk526_2(X1,X2),X1)|disjoint(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2482]), ['final']).
% 282.28/198.92 cnf(i_0_5486, lemma, (in(esk526_2(X1,X2),X2)|disjoint(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2482]), ['final']).
% 282.28/198.92 cnf(i_0_5487, plain, (in(esk94_2(X1,X2),X1)|subset(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2457]), ['final']).
% 282.28/198.92 cnf(i_0_5488, lemma, (in(X1,X2)|disjoint(unordered_pair(X1,X1),X2)), inference(rw,[status(thm)],[i_0_2540, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5489, lemma, (X1=esk434_2(X2,X1)|~in(X1,esk433_1(X2))|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_935]), ['final']).
% 282.28/198.92 cnf(i_0_5490, plain, (element(esk544_0,powerset(powerset(empty_set)))|epred1_0|esk549_1(X1)!=X1|~in(X1,esk548_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5491, lemma, (set_difference(set_union2(X1,X2),X2)=set_difference(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2541]), ['final']).
% 282.28/198.92 cnf(i_0_5492, lemma, (set_union2(X1,set_difference(X2,X1))=set_union2(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2542]), ['final']).
% 282.28/198.92 cnf(i_0_5493, plain, (strict_latt_str(k8_filter_1(X1,X2))|empty_carrier(X1)|empty_carrier(X2)|~latt_str(X1)|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2543]), ['final']).
% 282.28/198.92 cnf(i_0_5494, plain, (latt_str(k8_filter_1(X1,X2))|empty_carrier(X1)|empty_carrier(X2)|~latt_str(X1)|~latt_str(X2)), inference(split_conjunct,[status(thm)],[i_0_2543]), ['final']).
% 282.28/198.92 cnf(i_0_5495, plain, (relation_rng(esk106_2(X1,X2))=X2|~equipotent(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2544]), ['final']).
% 282.28/198.92 cnf(i_0_5496, plain, (relation_dom(esk106_2(X1,X2))=X1|~equipotent(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2544]), ['final']).
% 282.28/198.92 cnf(i_0_5497, plain, (~proper_element(X1,X2)|X1!=union(X2)|~element(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2545]), ['final']).
% 282.28/198.92 cnf(i_0_5498, lemma, (ordinal(X1)|~ordinal(esk522_1(X1))|~subset(esk522_1(X1),X1)), inference(split_conjunct,[status(thm)],[i_0_2546]), ['final']).
% 282.28/198.92 cnf(i_0_5499, plain, (antisymmetric_relstr(X1)|~is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2547]), ['final']).
% 282.28/198.92 cnf(i_0_5500, plain, (transitive_relstr(X1)|~is_transitive_in(the_InternalRel(X1),the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2548]), ['final']).
% 282.28/198.92 cnf(i_0_5501, lemma, (subset(relation_inverse_image(X1,X2),relation_dom(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2549]), ['final']).
% 282.28/198.92 cnf(i_0_5502, lemma, (subset(relation_image(X1,X2),relation_rng(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2550]), ['final']).
% 282.28/198.92 cnf(i_0_5503, plain, (element(join_on_relstr(X1,X2),the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2551]), ['final']).
% 282.28/198.92 cnf(i_0_5504, plain, (element(meet_on_relstr(X1,X2),the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2552]), ['final']).
% 282.28/198.92 cnf(i_0_5505, plain, (element(esk242_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2553]), ['final']).
% 282.28/198.92 cnf(i_0_5506, plain, (element(esk219_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2554]), ['final']).
% 282.28/198.92 cnf(i_0_5507, plain, (element(esk201_1(X1),powerset(the_carrier(X1)))|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2555]), ['final']).
% 282.28/198.92 cnf(i_0_5508, plain, (one_to_one(esk106_2(X1,X2))|~equipotent(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2544]), ['final']).
% 282.28/198.92 cnf(i_0_5509, plain, (relation(esk106_2(X1,X2))|~equipotent(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2544]), ['final']).
% 282.28/198.92 cnf(i_0_5510, plain, (function(esk106_2(X1,X2))|~equipotent(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2544]), ['final']).
% 282.28/198.92 cnf(i_0_5511, plain, (subset(X1,esk549_1(X1))|in(empty_set,omega)|epred1_0|~in(X1,esk548_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5512, plain, (equipotent(X2,X3)|~relation(X1)|~function(X1)|~one_to_one(X1)|relation_dom(X1)!=X2|relation_rng(X1)!=X3), inference(split_conjunct,[status(thm)],[i_0_2544]), ['final']).
% 282.28/198.92 cnf(i_0_5513, lemma, (relation_dom(X1)=relation_rng(X2)|X1!=function_inverse(X2)|~relation(X1)|~function(X1)|~one_to_one(X2)|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 282.28/198.92 cnf(i_0_5514, plain, (X1=apply(X2,X3)|in(X3,relation_dom(X2))|X1!=empty_set|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_1000]), ['final']).
% 282.28/198.92 cnf(i_0_5515, lemma, (relation_dom(esk475_1(X1))=X1|in(esk474_1(X1),X1)|in(esk471_1(X1),X1)), inference(split_conjunct,[status(thm)],[i_0_1077]), ['final']).
% 282.28/198.92 cnf(i_0_5516, plain, (empty(X1)|~empty(set_union2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2556]), ['final']).
% 282.28/198.92 cnf(i_0_5517, plain, (empty(X1)|~empty(set_union2(X2,X1))), inference(split_conjunct,[status(thm)],[i_0_2557]), ['final']).
% 282.28/198.92 cnf(i_0_5518, plain, (v2_waybel_3(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~complete_relstr(X1)|~connected_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2558]), ['final']).
% 282.28/198.92 cnf(i_0_5519, lemma, (finite(relation_image(X1,X2))|~relation(X1)|~function(X1)|~finite(X2)), inference(split_conjunct,[status(thm)],[i_0_2559]), ['final']).
% 282.28/198.92 cnf(i_0_5520, plain, (finite(relation_image(X1,X2))|~relation(X1)|~function(X1)|~finite(X2)), inference(split_conjunct,[status(thm)],[i_0_2560]), ['final']).
% 282.28/198.92 cnf(i_0_5521, lemma, (relation(esk475_1(X1))|in(esk474_1(X1),X1)|in(esk471_1(X1),X1)), inference(split_conjunct,[status(thm)],[i_0_1077]), ['final']).
% 282.28/198.92 cnf(i_0_5522, lemma, (function(esk475_1(X1))|in(esk474_1(X1),X1)|in(esk471_1(X1),X1)), inference(split_conjunct,[status(thm)],[i_0_1077]), ['final']).
% 282.28/198.92 cnf(i_0_5523, plain, (subset(X2,X1)|~ordinal(X1)|~in(empty_set,X1)|~being_limit_ordinal(X1)|X2!=omega), inference(split_conjunct,[status(thm)],[i_0_2481]), ['final']).
% 282.28/198.92 cnf(i_0_5524, plain, (subset(X1,X2)|~ordinal_subset(X1,X2)|~ordinal(X1)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_2561]), ['final']).
% 282.28/198.92 cnf(i_0_5525, plain, (ordinal_subset(X1,X2)|~subset(X1,X2)|~ordinal(X1)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_2561]), ['final']).
% 282.28/198.92 cnf(i_0_5526, lemma, (in(X1,X2)|~epsilon_transitive(X1)|~ordinal(X2)|~proper_subset(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2562]), ['final']).
% 282.28/198.92 cnf(i_0_5527, plain, (in(esk549_1(X1),esk548_0)|in(empty_set,omega)|epred1_0|~in(X1,esk548_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5528, plain, (X1=X3|X1=X4|~in(X1,X2)|X2!=unordered_pair(X3,X4)), inference(split_conjunct,[status(thm)],[i_0_2029]), ['final']).
% 282.28/198.92 cnf(i_0_5529, plain, (element(esk239_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2563]), ['final']).
% 282.28/198.92 cnf(i_0_5530, plain, (esk408_2(X1,X2)=X2|ordinal(esk406_0)|~in(X2,esk407_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5531, plain, (esk408_2(X1,X2)=X2|ordinal(esk405_0)|~in(X2,esk407_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5532, lemma, (in(esk269_1(X1),X1)|~ordinal(X2)|~in(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2445]), ['final']).
% 282.28/198.92 cnf(i_0_5533, lemma, (in(X1,esk454_1(X2))|~in(X1,X2)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2564]), ['final']).
% 282.28/198.92 cnf(i_0_5534, lemma, (meet_of_subsets(the_carrier(X1),esk500_1(X1))=empty_set|compact_top_space(X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2201]), ['final']).
% 282.28/198.92 cnf(i_0_5535, plain, (empty_carrier(X1)|poset_of_lattice(X1)=rel_str_of(the_carrier(X1),k2_lattice3(X1))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2565]), ['final']).
% 282.28/198.92 cnf(i_0_5536, plain, (X1=X3|X2!=unordered_pair(X3,X3)|~in(X1,X2)), inference(rw,[status(thm)],[i_0_2566, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5537, lemma, (X1=X3|X1=X4|unordered_pair(X1,X2)!=unordered_pair(X3,X4)), inference(split_conjunct,[status(thm)],[i_0_2567]), ['final']).
% 282.28/198.92 cnf(i_0_5538, plain, (esk408_2(X1,X2)=X2|~in(X2,esk407_1(X1))|esk405_0!=esk406_0), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5539, plain, (esk408_2(X1,X2)=X2|esk404_0=esk406_0|~in(X2,esk407_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5540, plain, (esk408_2(X1,X2)=X2|esk404_0=esk405_0|~in(X2,esk407_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5541, plain, (~empty(unordered_pair(X1,X1))), inference(rw,[status(thm)],[i_0_2568, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5542, plain, (~empty(unordered_pair(X1,X1))), inference(rw,[status(thm)],[i_0_2569, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5543, plain, (~empty(unordered_pair(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2570]), ['final']).
% 282.28/198.92 cnf(i_0_5544, plain, (~empty(unordered_pair(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2571]), ['final']).
% 282.28/198.92 cnf(i_0_5545, plain, (X1=X2|~subset(X1,X2)|~subset(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2572]), ['final']).
% 282.28/198.92 cnf(i_0_5546, plain, (well_ordering(X1)|~reflexive(X1)|~transitive(X1)|~antisymmetric(X1)|~connected(X1)|~well_founded_relation(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2573]), ['final']).
% 282.28/198.92 cnf(i_0_5547, lemma, (subset(relation_rng_restriction(X2,X1),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2574]), ['final']).
% 282.28/198.92 cnf(i_0_5548, lemma, (subset(relation_dom_restriction(X1,X2),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2575]), ['final']).
% 282.28/198.92 cnf(i_0_5549, plain, (being_limit_ordinal(esk112_1(X1))|X1=omega|~in(empty_set,X1)|~being_limit_ordinal(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2481]), ['final']).
% 282.28/198.92 cnf(i_0_5550, plain, (ordinal(esk112_1(X1))|X1=omega|~in(empty_set,X1)|~being_limit_ordinal(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2481]), ['final']).
% 282.28/198.92 cnf(i_0_5551, plain, (subset(X1,X2)|~element(X1,powerset(X2))), inference(split_conjunct,[status(thm)],[i_0_2576]), ['final']).
% 282.28/198.92 cnf(i_0_5552, lemma, (in(X1,X2)|~in(X1,esk454_1(X2))), inference(split_conjunct,[status(thm)],[i_0_2564]), ['final']).
% 282.28/198.92 cnf(i_0_5553, plain, (upper_relstr_subset(esk182_1(X1),X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2492]), ['final']).
% 282.28/198.92 cnf(i_0_5554, plain, (filtered_subset(esk182_1(X1),X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~transitive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2492]), ['final']).
% 282.28/198.92 cnf(i_0_5555, lemma, (ex_inf_of_relstr_set(X1,the_carrier(X1))|empty_carrier(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2577]), ['final']).
% 282.28/198.92 cnf(i_0_5556, lemma, (X1=X2|unordered_pair(X1,X1)!=unordered_pair(X2,X3)), inference(rw,[status(thm)],[i_0_2578, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5557, lemma, (X2=X3|unordered_pair(X1,X1)!=unordered_pair(X2,X3)), inference(rw,[status(thm)],[i_0_2579, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5558, plain, (epsilon_connected(X1)|~in(esk91_1(X1),esk90_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2439]), ['final']).
% 282.28/198.92 cnf(i_0_5559, plain, (epsilon_connected(X1)|~in(esk90_1(X1),esk91_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2439]), ['final']).
% 282.28/198.92 cnf(i_0_5560, plain, (element(esk202_1(X1),powerset(the_carrier(X1)))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2580]), ['final']).
% 282.28/198.92 cnf(i_0_5561, plain, (element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2581]), ['final']).
% 282.28/198.92 cnf(i_0_5562, plain, (element(empty_carrier_subset(X1),powerset(the_carrier(X1)))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2582]), ['final']).
% 282.28/198.92 cnf(i_0_5563, plain, (X1=empty_set|~subset(X1,X2)|~finite(X1)|set_meet(X1)!=empty_set|~centered(X2)), inference(split_conjunct,[status(thm)],[i_0_2583]), ['final']).
% 282.28/198.92 cnf(i_0_5564, lemma, (in(X1,X2)|X1=X2|in(X2,X1)|~ordinal(X1)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_2584]), ['final']).
% 282.28/198.92 cnf(i_0_5565, plain, (in(esk133_1(X1),relation_dom(X1))|one_to_one(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2268]), ['final']).
% 282.28/198.92 cnf(i_0_5566, plain, (in(esk132_1(X1),relation_dom(X1))|one_to_one(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2268]), ['final']).
% 282.28/198.92 cnf(i_0_5567, plain, (v2_binop_1(the_L_meet(X1),the_carrier(X1))|empty_carrier(X1)|~meet_associative(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2253]), ['final']).
% 282.28/198.92 cnf(i_0_5568, plain, (v2_binop_1(the_L_join(X1),the_carrier(X1))|empty_carrier(X1)|~join_associative(X1)|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2255]), ['final']).
% 282.28/198.92 cnf(i_0_5569, plain, (v1_binop_1(the_L_meet(X1),the_carrier(X1))|empty_carrier(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2254]), ['final']).
% 282.28/198.92 cnf(i_0_5570, plain, (v1_binop_1(the_L_join(X1),the_carrier(X1))|empty_carrier(X1)|~join_commutative(X1)|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2256]), ['final']).
% 282.28/198.92 cnf(i_0_5571, plain, (element(esk20_1(X1),the_carrier(X1))|empty_carrier(X1)|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2008]), ['final']).
% 282.28/198.92 cnf(i_0_5572, plain, (subset(X1,X3)|~in(X1,X2)|X2!=powerset(X3)), inference(split_conjunct,[status(thm)],[i_0_2271]), ['final']).
% 282.28/198.92 cnf(i_0_5573, plain, (in(X1,X3)|~subset(X1,X2)|X3!=powerset(X2)), inference(split_conjunct,[status(thm)],[i_0_2271]), ['final']).
% 282.28/198.92 cnf(i_0_5574, lemma, (~subset(X1,X2)|~proper_subset(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2585]), ['final']).
% 282.28/198.92 cnf(i_0_5575, plain, (~proper_subset(X1,X2)|~proper_subset(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2586]), ['final']).
% 282.28/198.92 cnf(i_0_5576, plain, (~in(X1,X2)|~in(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2587]), ['final']).
% 282.28/198.92 cnf(i_0_5577, lemma, (relation_dom(esk475_1(X1))=X1|in(esk474_1(X1),X1)|esk472_1(X1)!=esk473_1(X1)), inference(split_conjunct,[status(thm)],[i_0_1077]), ['final']).
% 282.28/198.92 cnf(i_0_5578, plain, (with_suprema_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~antisymmetric_relstr(X1)|~upper_bounded_relstr(X1)|~join_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2588]), ['final']).
% 282.28/198.92 cnf(i_0_5579, plain, (relation_empty_yielding(relation_dom_restriction(X1,X2))|~relation(X1)|~relation_empty_yielding(X1)), inference(split_conjunct,[status(thm)],[i_0_2589]), ['final']).
% 282.28/198.92 cnf(i_0_5580, lemma, (well_ordering(relation_restriction(X1,X2))|~relation(X1)|~well_ordering(X1)), inference(split_conjunct,[status(thm)],[i_0_2590]), ['final']).
% 282.28/198.92 cnf(i_0_5581, lemma, (well_founded_relation(relation_restriction(X1,X2))|~relation(X1)|~well_founded_relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2591]), ['final']).
% 282.28/198.92 cnf(i_0_5582, lemma, (connected(relation_restriction(X1,X2))|~relation(X1)|~connected(X1)), inference(split_conjunct,[status(thm)],[i_0_2592]), ['final']).
% 282.28/198.92 cnf(i_0_5583, lemma, (antisymmetric(relation_restriction(X1,X2))|~relation(X1)|~antisymmetric(X1)), inference(split_conjunct,[status(thm)],[i_0_2593]), ['final']).
% 282.28/198.92 cnf(i_0_5584, lemma, (reflexive(relation_restriction(X1,X2))|~relation(X1)|~reflexive(X1)), inference(split_conjunct,[status(thm)],[i_0_2594]), ['final']).
% 282.28/198.92 cnf(i_0_5585, lemma, (transitive(relation_restriction(X1,X2))|~relation(X1)|~transitive(X1)), inference(split_conjunct,[status(thm)],[i_0_2595]), ['final']).
% 282.28/198.92 cnf(i_0_5586, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2596]), ['final']).
% 282.28/198.92 cnf(i_0_5587, plain, (relation(relation_composition(X1,X2))|~empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2597]), ['final']).
% 282.28/198.92 cnf(i_0_5588, plain, (relation(relation_composition(X1,X2))|~empty(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2598]), ['final']).
% 282.28/198.92 cnf(i_0_5589, plain, (relation(set_difference(X1,X2))|~relation(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2599]), ['final']).
% 282.28/198.92 cnf(i_0_5590, plain, (relation(relation_rng_restriction(X1,X2))|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_2600]), ['final']).
% 282.28/198.92 cnf(i_0_5591, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1)|~relation_empty_yielding(X1)), inference(split_conjunct,[status(thm)],[i_0_2589]), ['final']).
% 282.28/198.92 cnf(i_0_5592, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2601]), ['final']).
% 282.28/198.92 cnf(i_0_5593, plain, (relation(set_union2(X1,X2))|~relation(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2602]), ['final']).
% 282.28/198.92 cnf(i_0_5594, plain, (function(relation_rng_restriction(X1,X2))|~relation(X2)|~function(X2)), inference(split_conjunct,[status(thm)],[i_0_2600]), ['final']).
% 282.28/198.92 cnf(i_0_5595, plain, (function(relation_dom_restriction(X1,X2))|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2601]), ['final']).
% 282.28/198.92 cnf(i_0_5596, plain, (finite(set_union2(X1,X2))|~finite(X1)|~finite(X2)), inference(split_conjunct,[status(thm)],[i_0_2603]), ['final']).
% 282.28/198.92 cnf(i_0_5597, plain, (finite(cartesian_product2(X1,X2))|~finite(X1)|~finite(X2)), inference(split_conjunct,[status(thm)],[i_0_2604]), ['final']).
% 282.28/198.92 cnf(i_0_5598, plain, (empty(relation_composition(X1,X2))|~empty(X1)|~relation(X2)), inference(split_conjunct,[status(thm)],[i_0_2597]), ['final']).
% 282.28/198.92 cnf(i_0_5599, plain, (empty(relation_composition(X1,X2))|~empty(X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2598]), ['final']).
% 282.28/198.92 cnf(i_0_5600, plain, (ordinal(esk546_0)|subset(X1,esk545_1(X1))|epred1_0|~in(X1,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5601, plain, (is_well_founded_in(X1,X2)|~well_orders(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2257]), ['final']).
% 282.28/198.92 cnf(i_0_5602, plain, (is_reflexive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2257]), ['final']).
% 282.28/198.92 cnf(i_0_5603, plain, (is_transitive_in(X1,X2)|~well_orders(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2257]), ['final']).
% 282.28/198.92 cnf(i_0_5604, plain, (is_connected_in(X1,X2)|~well_orders(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2257]), ['final']).
% 282.28/198.92 cnf(i_0_5605, plain, (is_antisymmetric_in(X1,X2)|~well_orders(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2257]), ['final']).
% 282.28/198.92 cnf(i_0_5606, plain, (subset(X2,X1)|~epsilon_transitive(X1)|~in(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2605]), ['final']).
% 282.28/198.92 cnf(i_0_5607, plain, (is_well_founded_in(X1,X2)|esk96_2(X1,X2)!=empty_set|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2003]), ['final']).
% 282.28/198.92 cnf(i_0_5608, lemma, (relation(esk475_1(X1))|in(esk474_1(X1),X1)|esk472_1(X1)!=esk473_1(X1)), inference(split_conjunct,[status(thm)],[i_0_1077]), ['final']).
% 282.28/198.92 cnf(i_0_5609, lemma, (function(esk475_1(X1))|in(esk474_1(X1),X1)|esk472_1(X1)!=esk473_1(X1)), inference(split_conjunct,[status(thm)],[i_0_1077]), ['final']).
% 282.28/198.92 cnf(i_0_5610, lemma, (closed_subsets(esk500_1(X1),X1)|compact_top_space(X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2201]), ['final']).
% 282.28/198.92 cnf(i_0_5611, lemma, (well_ordering(X1)|~well_orders(X1,relation_field(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2606]), ['final']).
% 282.28/198.92 cnf(i_0_5612, lemma, (well_founded_relation(X1)|~is_well_founded_in(X1,relation_field(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2607]), ['final']).
% 282.28/198.92 cnf(i_0_5613, plain, (connected(X1)|~is_connected_in(X1,relation_field(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2608]), ['final']).
% 282.28/198.92 cnf(i_0_5614, plain, (antisymmetric(X1)|~is_antisymmetric_in(X1,relation_field(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2609]), ['final']).
% 282.28/198.92 cnf(i_0_5615, plain, (reflexive(X1)|~is_reflexive_in(X1,relation_field(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2610]), ['final']).
% 282.28/198.92 cnf(i_0_5616, plain, (transitive(X1)|~is_transitive_in(X1,relation_field(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2611]), ['final']).
% 282.28/198.92 cnf(i_0_5617, plain, (finite(X2)|~finite(X1)|~element(X2,powerset(X1))), inference(split_conjunct,[status(thm)],[i_0_2612]), ['final']).
% 282.28/198.92 cnf(i_0_5618, plain, (v5_membered(X1)|~element(X1,powerset(X2))|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2613]), ['final']).
% 282.28/198.92 cnf(i_0_5619, plain, (v4_membered(X1)|~element(X1,powerset(X2))|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2613]), ['final']).
% 282.28/198.92 cnf(i_0_5620, plain, (v4_membered(X1)|~element(X1,powerset(X2))|~v4_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2614]), ['final']).
% 282.28/198.92 cnf(i_0_5621, plain, (v3_membered(X1)|~element(X1,powerset(X2))|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2613]), ['final']).
% 282.28/198.92 cnf(i_0_5622, plain, (v3_membered(X1)|~element(X1,powerset(X2))|~v4_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2614]), ['final']).
% 282.28/198.92 cnf(i_0_5623, plain, (v3_membered(X1)|~element(X1,powerset(X2))|~v3_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2615]), ['final']).
% 282.28/198.92 cnf(i_0_5624, plain, (v2_membered(X1)|~element(X1,powerset(X2))|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2613]), ['final']).
% 282.28/198.92 cnf(i_0_5625, plain, (v2_membered(X1)|~element(X1,powerset(X2))|~v4_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2614]), ['final']).
% 282.28/198.92 cnf(i_0_5626, plain, (v2_membered(X1)|~element(X1,powerset(X2))|~v3_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2615]), ['final']).
% 282.28/198.92 cnf(i_0_5627, plain, (v2_membered(X1)|~element(X1,powerset(X2))|~v2_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2616]), ['final']).
% 282.28/198.92 cnf(i_0_5628, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2613]), ['final']).
% 282.28/198.92 cnf(i_0_5629, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v4_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2614]), ['final']).
% 282.28/198.92 cnf(i_0_5630, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v3_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2615]), ['final']).
% 282.28/198.92 cnf(i_0_5631, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v2_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2616]), ['final']).
% 282.28/198.92 cnf(i_0_5632, plain, (v1_membered(X2)|~v1_membered(X1)|~element(X2,powerset(X1))), inference(split_conjunct,[status(thm)],[i_0_2617]), ['final']).
% 282.28/198.92 cnf(i_0_5633, lemma, (apply(identity_relation(X2),X1)=X1|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2618]), ['final']).
% 282.28/198.92 cnf(i_0_5634, plain, (ordinal_subset(X1,X2)|ordinal_subset(X2,X1)|~ordinal(X1)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_2619]), ['final']).
% 282.28/198.92 cnf(i_0_5635, lemma, (subset(X1,union(X2))|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2620]), ['final']).
% 282.28/198.92 cnf(i_0_5636, lemma, (subset(X1,union(X2))|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2621]), ['final']).
% 282.28/198.92 cnf(i_0_5637, plain, (element(X1,powerset(X2))|~subset(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2576]), ['final']).
% 282.28/198.92 cnf(i_0_5638, plain, (ordinal(esk546_0)|in(esk545_1(X1),esk544_0)|epred1_0|~in(X1,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5639, plain, (element(esk118_1(X1),the_carrier(X1))|directed_relstr(X1)|empty_carrier(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2111]), ['final']).
% 282.28/198.92 cnf(i_0_5640, plain, (element(esk117_1(X1),the_carrier(X1))|directed_relstr(X1)|empty_carrier(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2111]), ['final']).
% 282.28/198.92 cnf(i_0_5641, plain, (element(esk136_1(X1),the_carrier(X1))|meet_absorbing(X1)|empty_carrier(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1981]), ['final']).
% 282.28/198.92 cnf(i_0_5642, plain, (element(esk135_1(X1),the_carrier(X1))|meet_absorbing(X1)|empty_carrier(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1981]), ['final']).
% 282.28/198.92 cnf(i_0_5643, plain, (empty_carrier(X1)|~empty_carrier(poset_of_lattice(X1))|~lattice(X1)|~upper_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2622]), ['final']).
% 282.28/198.92 cnf(i_0_5644, plain, (empty_carrier(X1)|~empty_carrier(poset_of_lattice(X1))|~lattice(X1)|~lower_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2623]), ['final']).
% 282.28/198.92 cnf(i_0_5645, plain, (empty_carrier(X1)|~empty_carrier(poset_of_lattice(X1))|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2624]), ['final']).
% 282.28/198.92 cnf(i_0_5646, plain, (empty_carrier(X1)|~empty(esk182_1(X1))|~reflexive_relstr(X1)|~transitive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2492]), ['final']).
% 282.28/198.92 cnf(i_0_5647, lemma, (bottom_of_semilattstr(X1)=join_of_latt_set(X1,empty_set)|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2625]), ['final']).
% 282.28/198.92 cnf(i_0_5648, plain, (subset(X1,esk549_1(X1))|epred1_0|~in(X1,esk548_0)|esk544_0!=empty_set), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5649, plain, (subset(X1,esk545_1(X1))|epred1_0|esk548_0!=empty_set|~in(X1,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5650, lemma, (subset(X1,unordered_pair(X2,X2))|X1!=empty_set), inference(rw,[status(thm)],[i_0_2626, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5651, lemma, (subset(X1,unordered_pair(X2,X2))|X1!=empty_set), inference(rw,[status(thm)],[i_0_2627, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5652, plain, (X1=union(X2)|proper_element(X1,X2)|~element(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2545]), ['final']).
% 282.28/198.92 cnf(i_0_5653, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X2,X2)), inference(rw,[status(thm)],[i_0_2628, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5654, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X2,X4)), inference(split_conjunct,[status(thm)],[i_0_2029]), ['final']).
% 282.28/198.92 cnf(i_0_5655, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X4,X2)), inference(split_conjunct,[status(thm)],[i_0_2029]), ['final']).
% 282.28/198.92 cnf(i_0_5656, plain, (~proper_element(esk218_1(X1),powerset(X1))), inference(split_conjunct,[status(thm)],[i_0_2629]), ['final']).
% 282.28/198.92 cnf(i_0_5657, lemma, (finite(relation_rng(X1))|~relation(X1)|~function(X1)|~finite(relation_dom(X1))), inference(split_conjunct,[status(thm)],[i_0_2630]), ['final']).
% 282.28/198.92 cnf(i_0_5658, plain, (X1=rel_str_of(the_carrier(X1),the_InternalRel(X1))|~rel_str(X1)|~strict_rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2631]), ['final']).
% 282.28/198.92 cnf(i_0_5659, plain, (element(X1,X2)|empty(X2)|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2632]), ['final']).
% 282.28/198.92 cnf(i_0_5660, plain, (empty(X2)|in(X1,X2)|~element(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2633]), ['final']).
% 282.28/198.92 cnf(i_0_5661, plain, (in(X1,X2)|empty(X2)|~element(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2632]), ['final']).
% 282.28/198.92 cnf(i_0_5662, lemma, (relation_dom_restriction(X1,X2)=relation_composition(identity_relation(X2),X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2634]), ['final']).
% 282.28/198.92 cnf(i_0_5663, plain, (in(esk549_1(X1),esk548_0)|epred1_0|~in(X1,esk548_0)|esk544_0!=empty_set), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5664, plain, (in(esk545_1(X1),esk544_0)|epred1_0|esk548_0!=empty_set|~in(X1,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5665, lemma, (esk257_1(X1)=unordered_pair(esk255_1(X1),esk255_1(X1))|relation(esk258_1(X1))), inference(rw,[status(thm)],[i_0_2635, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5666, lemma, (esk257_1(X1)=unordered_pair(esk255_1(X1),esk255_1(X1))|function(esk258_1(X1))), inference(rw,[status(thm)],[i_0_2636, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5667, lemma, (esk256_1(X1)=unordered_pair(esk255_1(X1),esk255_1(X1))|relation(esk258_1(X1))), inference(rw,[status(thm)],[i_0_2637, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5668, lemma, (esk256_1(X1)=unordered_pair(esk255_1(X1),esk255_1(X1))|function(esk258_1(X1))), inference(rw,[status(thm)],[i_0_2638, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5669, plain, (set_difference(X1,set_difference(X1,X1))=X1), inference(rw,[status(thm)],[i_0_2639, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5670, plain, (is_transitive_in(the_InternalRel(X1),the_carrier(X1))|~transitive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2548]), ['final']).
% 282.28/198.92 cnf(i_0_5671, plain, (is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2547]), ['final']).
% 282.28/198.92 cnf(i_0_5672, plain, (element(esk108_1(X1),the_carrier(X1))|~lower_bounded_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2246]), ['final']).
% 282.28/198.92 cnf(i_0_5673, plain, (in(the_carrier(X1),the_topology(X1))|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1910]), ['final']).
% 282.28/198.92 cnf(i_0_5674, plain, (in(empty_set,omega)|epred1_0|esk549_1(X1)!=X1|~in(X1,esk548_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5675, lemma, (ordinal(esk269_1(X1))|~ordinal(X2)|~in(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2445]), ['final']).
% 282.28/198.92 cnf(i_0_5676, plain, (empty(X1)|~trivial_carrier(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2640, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5677, plain, (empty(X1)|~v1_yellow_3(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2641, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5678, plain, (empty(X1)|~empty_carrier(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2642, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5679, lemma, (subset(set_difference(X1,X2),X1)), inference(split_conjunct,[status(thm)],[i_0_2643]), ['final']).
% 282.28/198.92 cnf(i_0_5680, lemma, (subset(X1,set_union2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2644]), ['final']).
% 282.28/198.92 cnf(i_0_5681, plain, (ordinal(X1)|ordinal(esk406_0)|~in(X1,esk407_1(X2))), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5682, plain, (ordinal(X1)|ordinal(esk405_0)|~in(X1,esk407_1(X2))), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5683, plain, (closed_subset(esk244_1(X1),X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2534]), ['final']).
% 282.28/198.92 cnf(i_0_5684, plain, (filtered_subset(esk220_1(X1),X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2535]), ['final']).
% 282.28/198.92 cnf(i_0_5685, plain, (directed_subset(esk220_1(X1),X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2535]), ['final']).
% 282.28/198.92 cnf(i_0_5686, plain, (X1=X2|proper_subset(X1,X2)|~subset(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2645]), ['final']).
% 282.28/198.92 cnf(i_0_5687, plain, (antisymmetric(the_InternalRel(X1))|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2340]), ['final']).
% 282.28/198.92 cnf(i_0_5688, plain, (reflexive(the_InternalRel(X1))|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2340]), ['final']).
% 282.28/198.92 cnf(i_0_5689, plain, (transitive(the_InternalRel(X1))|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2340]), ['final']).
% 282.28/198.92 cnf(i_0_5690, plain, (relation(the_InternalRel(X1))|~reflexive_relstr(X1)|~transitive_relstr(X1)|~antisymmetric_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2340]), ['final']).
% 282.28/198.92 cnf(i_0_5691, lemma, (ex_sup_of_relstr_set(X1,empty_set)|empty_carrier(X1)|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2577]), ['final']).
% 282.28/198.92 cnf(i_0_5692, plain, (element(esk222_1(X1),powerset(powerset(X1)))), inference(split_conjunct,[status(thm)],[i_0_2646]), ['final']).
% 282.28/198.92 cnf(i_0_5693, plain, (element(powerset(X1),powerset(powerset(X1)))), inference(rw,[status(thm)],[i_0_2647, c_0_2648]), ['final']).
% 282.28/198.92 cnf(i_0_5694, plain, (subset(esk78_1(X1),relation_field(X1))|well_founded_relation(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2245]), ['final']).
% 282.28/198.92 cnf(i_0_5695, lemma, (in(esk179_1(X1),relation_field(X1))|connected(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_974]), ['final']).
% 282.28/198.92 cnf(i_0_5696, lemma, (in(esk178_1(X1),relation_field(X1))|connected(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_974]), ['final']).
% 282.28/198.92 cnf(i_0_5697, lemma, (in(esk171_1(X1),relation_field(X1))|reflexive(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_975]), ['final']).
% 282.28/198.92 cnf(i_0_5698, plain, (element(esk82_1(X1),the_carrier(X1))|transitive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1970]), ['final']).
% 282.28/198.92 cnf(i_0_5699, plain, (element(esk81_1(X1),the_carrier(X1))|transitive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1970]), ['final']).
% 282.28/198.92 cnf(i_0_5700, plain, (element(esk80_1(X1),the_carrier(X1))|transitive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1970]), ['final']).
% 282.28/198.92 cnf(i_0_5701, plain, (empty_carrier(X1)|element(bottom_of_semilattstr(X1),the_carrier(X1))|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2649]), ['final']).
% 282.28/198.92 cnf(i_0_5702, plain, (in(relation_dom(esk38_1(X1)),omega)|~finite(X1)), inference(split_conjunct,[status(thm)],[i_0_2536]), ['final']).
% 282.28/198.92 cnf(i_0_5703, lemma, (disjoint(X1,X2)|set_difference(X1,X2)!=X1), inference(split_conjunct,[status(thm)],[i_0_2650]), ['final']).
% 282.28/198.92 cnf(i_0_5704, plain, (ordinal(X1)|~in(X1,esk407_1(X2))|esk405_0!=esk406_0), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5705, lemma, (set_difference(X1,X2)=X1|~disjoint(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2650]), ['final']).
% 282.28/198.92 cnf(i_0_5706, lemma, (set_union2(X1,X2)=X2|~subset(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2651]), ['final']).
% 282.28/198.92 cnf(i_0_5707, plain, (boolean_lattstr(X1)|empty_carrier(X1)|~distributive_lattstr(X1)|~bounded_lattstr(X1)|~complemented_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2652]), ['final']).
% 282.28/198.92 cnf(i_0_5708, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~antisymmetric_relstr(X1)|~join_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2653]), ['final']).
% 282.28/198.92 cnf(i_0_5709, plain, (ordinal(X1)|esk404_0=esk406_0|~in(X1,esk407_1(X2))), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5710, plain, (ordinal(X1)|esk404_0=esk405_0|~in(X1,esk407_1(X2))), inference(split_conjunct,[status(thm)],[i_0_2464]), ['final']).
% 282.28/198.92 cnf(i_0_5711, plain, (relation_field(X1)=set_union2(relation_dom(X1),relation_rng(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2654]), ['final']).
% 282.28/198.92 cnf(i_0_5712, plain, (relation(relation_restriction(X1,X2))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2655]), ['final']).
% 282.28/198.92 cnf(i_0_5713, plain, (relation(relation_rng_restriction(X2,X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2656]), ['final']).
% 282.28/198.92 cnf(i_0_5714, plain, (relation(relation_dom_restriction(X1,X2))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2657]), ['final']).
% 282.28/198.92 cnf(i_0_5715, plain, (finite(set_difference(X1,X2))|~finite(X1)), inference(split_conjunct,[status(thm)],[i_0_2658]), ['final']).
% 282.28/198.92 cnf(i_0_5716, plain, (v5_membered(set_difference(X1,X2))|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2659]), ['final']).
% 282.28/198.92 cnf(i_0_5717, plain, (v4_membered(set_difference(X1,X2))|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2659]), ['final']).
% 282.28/198.92 cnf(i_0_5718, plain, (v4_membered(set_difference(X1,X2))|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2660]), ['final']).
% 282.28/198.92 cnf(i_0_5719, plain, (v3_membered(set_difference(X1,X2))|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2659]), ['final']).
% 282.28/198.92 cnf(i_0_5720, plain, (v3_membered(set_difference(X1,X2))|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2660]), ['final']).
% 282.28/198.92 cnf(i_0_5721, plain, (v3_membered(set_difference(X1,X2))|~v3_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2661]), ['final']).
% 282.28/198.92 cnf(i_0_5722, plain, (v2_membered(set_difference(X1,X2))|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2659]), ['final']).
% 282.28/198.92 cnf(i_0_5723, plain, (v2_membered(set_difference(X1,X2))|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2660]), ['final']).
% 282.28/198.92 cnf(i_0_5724, plain, (v2_membered(set_difference(X1,X2))|~v3_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2661]), ['final']).
% 282.28/198.92 cnf(i_0_5725, plain, (v2_membered(set_difference(X1,X2))|~v2_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2662]), ['final']).
% 282.28/198.92 cnf(i_0_5726, plain, (v1_membered(set_difference(X1,X2))|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2659]), ['final']).
% 282.28/198.92 cnf(i_0_5727, plain, (v1_membered(set_difference(X1,X2))|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2660]), ['final']).
% 282.28/198.92 cnf(i_0_5728, plain, (v1_membered(set_difference(X1,X2))|~v3_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2661]), ['final']).
% 282.28/198.92 cnf(i_0_5729, plain, (v1_membered(set_difference(X1,X2))|~v2_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2662]), ['final']).
% 282.28/198.92 cnf(i_0_5730, plain, (v1_membered(set_difference(X1,X2))|~v1_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2663]), ['final']).
% 282.28/198.92 cnf(i_0_5731, plain, (set_difference(X1,set_difference(X1,empty_set))=empty_set), inference(rw,[status(thm)],[i_0_2664, c_0_1814]), ['final']).
% 282.28/198.92 cnf(i_0_5732, plain, (are_equipotent(X1,X2)|~equipotent(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2665]), ['final']).
% 282.28/198.92 cnf(i_0_5733, plain, (equipotent(X1,X2)|~are_equipotent(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2665]), ['final']).
% 282.28/198.92 cnf(i_0_5734, plain, (equipotent(X2,X1)|~equipotent(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2666]), ['final']).
% 282.28/198.92 cnf(i_0_5735, plain, (disjoint(X2,X1)|~disjoint(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2667]), ['final']).
% 282.28/198.92 cnf(i_0_5736, plain, (subset(X1,X2)|~proper_subset(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2645]), ['final']).
% 282.28/198.92 cnf(i_0_5737, plain, (element(X1,X2)|~in(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2668]), ['final']).
% 282.28/198.92 cnf(i_0_5738, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set), inference(split_conjunct,[status(thm)],[i_0_2669]), ['final']).
% 282.28/198.92 cnf(i_0_5739, lemma, (subset(X1,X2)|set_difference(X1,X2)!=empty_set), inference(split_conjunct,[status(thm)],[i_0_2670]), ['final']).
% 282.28/198.92 cnf(i_0_5740, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2669]), ['final']).
% 282.28/198.92 cnf(i_0_5741, lemma, (set_difference(X1,X2)=empty_set|~subset(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2670]), ['final']).
% 282.28/198.92 cnf(i_0_5742, plain, (epsilon_transitive(X1)|~subset(esk72_1(X1),X1)), inference(split_conjunct,[status(thm)],[i_0_2605]), ['final']).
% 282.28/198.92 cnf(i_0_5743, lemma, (ordinal(X1)|~in(X1,esk454_1(X2))), inference(split_conjunct,[status(thm)],[i_0_2564]), ['final']).
% 282.28/198.92 cnf(i_0_5744, plain, (bounded_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2624]), ['final']).
% 282.28/198.92 cnf(i_0_5745, plain, (lower_bounded_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2623]), ['final']).
% 282.28/198.92 cnf(i_0_5746, plain, (lower_bounded_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2624]), ['final']).
% 282.28/198.92 cnf(i_0_5747, plain, (upper_bounded_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2622]), ['final']).
% 282.28/198.92 cnf(i_0_5748, plain, (upper_bounded_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2624]), ['final']).
% 282.28/198.92 cnf(i_0_5749, plain, (with_infima_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2622]), ['final']).
% 282.28/198.92 cnf(i_0_5750, plain, (with_infima_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2623]), ['final']).
% 282.28/198.92 cnf(i_0_5751, plain, (with_infima_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2624]), ['final']).
% 282.28/198.92 cnf(i_0_5752, plain, (with_suprema_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2622]), ['final']).
% 282.28/198.92 cnf(i_0_5753, plain, (with_suprema_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2623]), ['final']).
% 282.28/198.92 cnf(i_0_5754, plain, (with_suprema_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2624]), ['final']).
% 282.28/198.92 cnf(i_0_5755, plain, (antisymmetric_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2622]), ['final']).
% 282.28/198.92 cnf(i_0_5756, plain, (antisymmetric_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2623]), ['final']).
% 282.28/198.92 cnf(i_0_5757, plain, (antisymmetric_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2624]), ['final']).
% 282.28/198.92 cnf(i_0_5758, plain, (transitive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2622]), ['final']).
% 282.28/198.92 cnf(i_0_5759, plain, (transitive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2623]), ['final']).
% 282.28/198.92 cnf(i_0_5760, plain, (transitive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2624]), ['final']).
% 282.28/198.92 cnf(i_0_5761, plain, (complete_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2624]), ['final']).
% 282.28/198.92 cnf(i_0_5762, plain, (reflexive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2622]), ['final']).
% 282.28/198.92 cnf(i_0_5763, plain, (reflexive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2623]), ['final']).
% 282.28/198.92 cnf(i_0_5764, plain, (reflexive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2624]), ['final']).
% 282.28/198.92 cnf(i_0_5765, plain, (strict_rel_str(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~upper_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2622]), ['final']).
% 282.28/198.92 cnf(i_0_5766, plain, (strict_rel_str(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~lower_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2623]), ['final']).
% 282.28/198.92 cnf(i_0_5767, plain, (strict_rel_str(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2624]), ['final']).
% 282.28/198.92 cnf(i_0_5768, lemma, (relation_dom(esk516_1(X1))=X1|in(esk515_1(X1),X1)|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2345]), ['final']).
% 282.28/198.92 cnf(i_0_5769, plain, (incl_POSet(X1)=rel_str_of(X1,the_InternalRel(incl_POSet(X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2671, c_0_933]), c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_5770, lemma, (relation_rng(X1)=relation_dom(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2672]), ['final']).
% 282.28/198.92 cnf(i_0_5771, lemma, (relation_dom(X1)=relation_rng(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2672]), ['final']).
% 282.28/198.92 cnf(i_0_5772, plain, (~empty_carrier(X1)|~reflexive_relstr(X1)|~with_suprema_relstr(X1)|~up_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2673]), ['final']).
% 282.28/198.92 cnf(i_0_5773, plain, (~v1_yellow_3(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2674, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5774, plain, (~v1_yellow_3(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2675, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5775, plain, (~empty_carrier(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2676, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5776, plain, (~empty_carrier(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2677, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5777, plain, (~empty_carrier(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2678, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5778, plain, (~empty_carrier(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2679, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5779, plain, (~empty_carrier(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2680, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5780, plain, (~empty_carrier(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2681, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5781, lemma, (relation(esk516_1(X1))|in(esk515_1(X1),X1)|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2345]), ['final']).
% 282.28/198.92 cnf(i_0_5782, lemma, (function(esk516_1(X1))|in(esk515_1(X1),X1)|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2345]), ['final']).
% 282.28/198.92 cnf(i_0_5783, plain, (empty_carrier(X1)|~empty(esk244_1(X1))|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2534]), ['final']).
% 282.28/198.92 cnf(i_0_5784, plain, (empty_carrier(X1)|~empty_carrier(poset_of_lattice(X1))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2682]), ['final']).
% 282.28/198.92 cnf(i_0_5785, plain, (empty_carrier(X1)|~empty_carrier(poset_of_lattice(X1))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2683]), ['final']).
% 282.28/198.92 cnf(i_0_5786, plain, (empty_carrier(X1)|~empty(esk220_1(X1))|~reflexive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2535]), ['final']).
% 282.28/198.92 cnf(i_0_5787, plain, (relation_restriction_as_relation_of(X1,X2)=relation_restriction(X1,X2)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2684]), ['final']).
% 282.28/198.92 cnf(i_0_5788, plain, (closed_subset(esk242_1(X1),X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2553]), ['final']).
% 282.28/198.92 cnf(i_0_5789, plain, (closed_subset(esk219_1(X1),X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2554]), ['final']).
% 282.28/198.92 cnf(i_0_5790, plain, (closed_subset(cast_as_carrier_subset(X1),X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2685]), ['final']).
% 282.28/198.92 cnf(i_0_5791, plain, (open_subset(esk219_1(X1),X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2554]), ['final']).
% 282.28/198.92 cnf(i_0_5792, plain, (open_subset(esk201_1(X1),X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2555]), ['final']).
% 282.28/198.92 cnf(i_0_5793, lemma, (well_orders(X1,relation_field(X1))|~well_ordering(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2606]), ['final']).
% 282.28/198.92 cnf(i_0_5794, lemma, (is_well_founded_in(X1,relation_field(X1))|~well_founded_relation(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2607]), ['final']).
% 282.28/198.92 cnf(i_0_5795, plain, (is_reflexive_in(X1,relation_field(X1))|~reflexive(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2610]), ['final']).
% 282.28/198.92 cnf(i_0_5796, plain, (is_transitive_in(X1,relation_field(X1))|~transitive(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2611]), ['final']).
% 282.28/198.92 cnf(i_0_5797, plain, (is_connected_in(X1,relation_field(X1))|~connected(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2608]), ['final']).
% 282.28/198.92 cnf(i_0_5798, plain, (is_antisymmetric_in(X1,relation_field(X1))|~antisymmetric(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2609]), ['final']).
% 282.28/198.92 cnf(i_0_5799, plain, (well_founded_relation(X2)|~well_founded_relation(X1)|~epred3_2(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2686]), ['final']).
% 282.28/198.92 cnf(i_0_5800, plain, (connected(X2)|~connected(X1)|~epred3_2(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2686]), ['final']).
% 282.28/198.92 cnf(i_0_5801, plain, (antisymmetric(X2)|~antisymmetric(X1)|~epred3_2(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2686]), ['final']).
% 282.28/198.92 cnf(i_0_5802, plain, (reflexive(X2)|~reflexive(X1)|~epred3_2(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2686]), ['final']).
% 282.28/198.92 cnf(i_0_5803, plain, (transitive(X2)|~transitive(X1)|~epred3_2(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2686]), ['final']).
% 282.28/198.92 cnf(i_0_5804, lemma, (finite(X1)|~subset(X1,X2)|~finite(X2)), inference(split_conjunct,[status(thm)],[i_0_2687]), ['final']).
% 282.28/198.92 cnf(i_0_5805, plain, (epsilon_connected(X1)|~element(X1,X2)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_2688]), ['final']).
% 282.28/198.92 cnf(i_0_5806, plain, (epsilon_transitive(X1)|~element(X1,X2)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_2688]), ['final']).
% 282.28/198.92 cnf(i_0_5807, plain, (ordinal(X1)|~element(X1,X2)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_2688]), ['final']).
% 282.28/198.92 cnf(i_0_5808, lemma, (ordinal(X2)|~ordinal(X1)|~in(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2689]), ['final']).
% 282.28/198.92 cnf(i_0_5809, plain, (empty(X1)|~element(X1,X2)|~empty(X2)), inference(split_conjunct,[status(thm)],[i_0_2632]), ['final']).
% 282.28/198.92 cnf(i_0_5810, plain, (natural(X1)|~element(X1,X2)|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2690]), ['final']).
% 282.28/198.92 cnf(i_0_5811, plain, (v1_int_1(X1)|~element(X1,X2)|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2690]), ['final']).
% 282.28/198.92 cnf(i_0_5812, plain, (v1_int_1(X1)|~element(X1,X2)|~v4_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2691]), ['final']).
% 282.28/198.92 cnf(i_0_5813, plain, (v1_rat_1(X1)|~element(X1,X2)|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2690]), ['final']).
% 282.28/198.92 cnf(i_0_5814, plain, (v1_rat_1(X1)|~element(X1,X2)|~v4_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2691]), ['final']).
% 282.28/198.92 cnf(i_0_5815, plain, (v1_rat_1(X1)|~element(X1,X2)|~v3_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2692]), ['final']).
% 282.28/198.92 cnf(i_0_5816, plain, (v1_xreal_0(X1)|~element(X1,X2)|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2690]), ['final']).
% 282.28/198.92 cnf(i_0_5817, plain, (v1_xreal_0(X1)|~element(X1,X2)|~v4_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2691]), ['final']).
% 282.28/198.92 cnf(i_0_5818, plain, (v1_xreal_0(X1)|~element(X1,X2)|~v3_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2692]), ['final']).
% 282.28/198.92 cnf(i_0_5819, plain, (v1_xreal_0(X1)|~element(X1,X2)|~v2_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2693]), ['final']).
% 282.28/198.92 cnf(i_0_5820, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v5_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2690]), ['final']).
% 282.28/198.92 cnf(i_0_5821, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v4_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2691]), ['final']).
% 282.28/198.92 cnf(i_0_5822, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v3_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2692]), ['final']).
% 282.28/198.92 cnf(i_0_5823, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v2_membered(X2)), inference(split_conjunct,[status(thm)],[i_0_2693]), ['final']).
% 282.28/198.92 cnf(i_0_5824, plain, (v1_xcmplx_0(X2)|~v1_membered(X1)|~element(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2694]), ['final']).
% 282.28/198.92 cnf(i_0_5825, plain, (rel_str(X2)|~one_sorted_str(X1)|~net_str(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2695]), ['final']).
% 282.28/198.92 cnf(i_0_5826, plain, (rel_str(X2)|~rel_str(X1)|~subrelstr(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2696]), ['final']).
% 282.28/198.92 cnf(i_0_5827, lemma, (centered(esk500_1(X1))|compact_top_space(X1)|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2201]), ['final']).
% 282.28/198.92 cnf(i_0_5828, plain, (element(bottom_of_relstr(X1),the_carrier(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2697]), ['final']).
% 282.28/198.92 cnf(i_0_5829, plain, (upper_bounded_relstr(X1)|~reflexive_relstr(X1)|~with_suprema_relstr(X1)|~up_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2673]), ['final']).
% 282.28/198.92 cnf(i_0_5830, plain, (ordinal(esk546_0)|epred1_0|esk545_1(X1)!=X1|~in(X1,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5831, lemma, (in(esk527_1(X1),X1)|being_limit_ordinal(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1012]), ['final']).
% 282.28/198.92 cnf(i_0_5832, plain, (open_subsets(esk89_1(X1),X1)|compact_top_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2128]), ['final']).
% 282.28/198.92 cnf(i_0_5833, plain, (is_a_cover_of_carrier(X1,esk89_1(X1))|compact_top_space(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2128]), ['final']).
% 282.28/198.92 cnf(i_0_5834, lemma, (one_to_one(function_inverse(X1))|~relation(X1)|~function(X1)|~one_to_one(X1)), inference(split_conjunct,[status(thm)],[i_0_2698]), ['final']).
% 282.28/198.92 cnf(i_0_5835, plain, (relation(relation_inverse(X1))|~relation(X1)|~function(X1)|~one_to_one(X1)), inference(split_conjunct,[status(thm)],[i_0_2699]), ['final']).
% 282.28/198.92 cnf(i_0_5836, plain, (function(relation_inverse(X1))|~relation(X1)|~function(X1)|~one_to_one(X1)), inference(split_conjunct,[status(thm)],[i_0_2699]), ['final']).
% 282.28/198.92 cnf(i_0_5837, plain, (one_to_one(X1)|esk132_1(X1)!=esk133_1(X1)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2268]), ['final']).
% 282.28/198.92 cnf(i_0_5838, lemma, (relation_image(X1,relation_dom(X1))=relation_rng(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2700]), ['final']).
% 282.28/198.92 cnf(i_0_5839, lemma, (relation(esk258_1(X1))|in(esk255_1(X1),X1)), inference(split_conjunct,[status(thm)],[i_0_1002]), ['final']).
% 282.28/198.92 cnf(i_0_5840, lemma, (relation(esk258_1(X1))|in(esk255_1(X1),X1)), inference(split_conjunct,[status(thm)],[i_0_1002]), ['final']).
% 282.28/198.92 cnf(i_0_5841, lemma, (function(esk258_1(X1))|in(esk255_1(X1),X1)), inference(split_conjunct,[status(thm)],[i_0_1002]), ['final']).
% 282.28/198.92 cnf(i_0_5842, lemma, (function(esk258_1(X1))|in(esk255_1(X1),X1)), inference(split_conjunct,[status(thm)],[i_0_1002]), ['final']).
% 282.28/198.92 cnf(i_0_5843, plain, (element(esk233_1(X1),powerset(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2701]), ['final']).
% 282.28/198.92 cnf(i_0_5844, plain, (element(esk225_1(X1),powerset(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2702]), ['final']).
% 282.28/198.92 cnf(i_0_5845, plain, (element(esk200_1(X1),powerset(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2703]), ['final']).
% 282.28/198.92 cnf(i_0_5846, plain, (the_carrier(X1)=powerset(X2)|X1!=boole_lattice(X2)|~strict_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_1770]), ['final']).
% 282.28/198.92 cnf(i_0_5847, plain, (modular_lattstr(X1)|empty_carrier(X1)|~lattice(X1)|~distributive_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2704]), ['final']).
% 282.28/198.92 cnf(i_0_5848, plain, (v2_waybel_3(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~v3_waybel_3(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2705]), ['final']).
% 282.28/198.92 cnf(i_0_5849, plain, (v2_waybel_3(X1)|empty_carrier(X1)|~trivial_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2706]), ['final']).
% 282.28/198.92 cnf(i_0_5850, plain, (connected_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~trivial_carrier(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2707]), ['final']).
% 282.28/198.92 cnf(i_0_5851, plain, (bounded_lattstr(X1)|empty_carrier(X1)|~lower_bounded_semilattstr(X1)|~upper_bounded_semilattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2708]), ['final']).
% 282.28/198.92 cnf(i_0_5852, plain, (bounded_lattstr(X1)|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2709]), ['final']).
% 282.28/198.92 cnf(i_0_5853, plain, (upper_bounded_semilattstr(X1)|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2709]), ['final']).
% 282.28/198.92 cnf(i_0_5854, lemma, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2625]), ['final']).
% 282.28/198.92 cnf(i_0_5855, plain, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2709]), ['final']).
% 282.28/198.92 cnf(i_0_5856, plain, (join_absorbing(X1)|empty_carrier(X1)|~lattice(X1)|~distributive_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2704]), ['final']).
% 282.28/198.92 cnf(i_0_5857, plain, (join_absorbing(X1)|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2709]), ['final']).
% 282.28/198.92 cnf(i_0_5858, plain, (meet_absorbing(X1)|empty_carrier(X1)|~lattice(X1)|~distributive_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2704]), ['final']).
% 282.28/198.92 cnf(i_0_5859, plain, (meet_absorbing(X1)|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2709]), ['final']).
% 282.28/198.92 cnf(i_0_5860, plain, (meet_associative(X1)|empty_carrier(X1)|~lattice(X1)|~distributive_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2704]), ['final']).
% 282.28/198.92 cnf(i_0_5861, plain, (meet_associative(X1)|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2709]), ['final']).
% 282.28/198.92 cnf(i_0_5862, plain, (meet_commutative(X1)|empty_carrier(X1)|~lattice(X1)|~distributive_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2704]), ['final']).
% 282.28/198.92 cnf(i_0_5863, plain, (meet_commutative(X1)|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2709]), ['final']).
% 282.28/198.92 cnf(i_0_5864, plain, (join_associative(X1)|empty_carrier(X1)|~lattice(X1)|~distributive_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2704]), ['final']).
% 282.28/198.92 cnf(i_0_5865, plain, (join_associative(X1)|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2709]), ['final']).
% 282.28/198.92 cnf(i_0_5866, plain, (join_commutative(X1)|empty_carrier(X1)|~lattice(X1)|~distributive_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2704]), ['final']).
% 282.28/198.92 cnf(i_0_5867, plain, (join_commutative(X1)|empty_carrier(X1)|~lattice(X1)|~complete_latt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2709]), ['final']).
% 282.28/198.92 cnf(i_0_5868, plain, (lower_bounded_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~join_complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2710]), ['final']).
% 282.28/198.92 cnf(i_0_5869, plain, (antisymmetric_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~trivial_carrier(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2711]), ['final']).
% 282.28/198.92 cnf(i_0_5870, plain, (transitive_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~trivial_carrier(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2711]), ['final']).
% 282.28/198.92 cnf(i_0_5871, plain, (join_complete_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2712]), ['final']).
% 282.28/198.92 cnf(i_0_5872, plain, (up_complete_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~v3_waybel_3(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2705]), ['final']).
% 282.28/198.92 cnf(i_0_5873, plain, (up_complete_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2712]), ['final']).
% 282.28/198.92 cnf(i_0_5874, plain, (complete_relstr(X1)|empty_carrier(X1)|~reflexive_relstr(X1)|~trivial_carrier(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2711]), ['final']).
% 282.28/198.92 cnf(i_0_5875, plain, (epred1_0|esk548_0!=empty_set|esk545_1(X1)!=X1|~in(X1,esk544_0)), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5876, plain, (epred1_0|esk549_1(X1)!=X1|~in(X1,esk548_0)|esk544_0!=empty_set), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5877, plain, (relation_field(X1)=X2|X1!=the_InternalRel(incl_POSet(X2))|~relation(X1)), inference(rw,[status(thm)],[i_0_2713, c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_5878, plain, (relation(esk215_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2443]), ['final']).
% 282.28/198.92 cnf(i_0_5879, plain, (relation(esk191_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2442]), ['final']).
% 282.28/198.92 cnf(i_0_5880, plain, (function(esk215_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2443]), ['final']).
% 282.28/198.92 cnf(i_0_5881, plain, (function(esk191_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2442]), ['final']).
% 282.28/198.92 cnf(i_0_5882, plain, (finite(unordered_pair(X1,X1))), inference(rw,[status(thm)],[i_0_2714, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_5883, plain, (finite(unordered_pair(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2571]), ['final']).
% 282.28/198.92 cnf(i_0_5884, lemma, (well_ordering(the_InternalRel(incl_POSet(X1)))|~ordinal(X1)), inference(rw,[status(thm)],[i_0_2715, c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_5885, lemma, (well_founded_relation(the_InternalRel(incl_POSet(X1)))|~ordinal(X1)), inference(rw,[status(thm)],[i_0_2716, c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_5886, lemma, (connected(the_InternalRel(incl_POSet(X1)))|~ordinal(X1)), inference(rw,[status(thm)],[i_0_2717, c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_5887, plain, (~in(X1,X2)|~empty(X2)), inference(split_conjunct,[status(thm)],[i_0_2718]), ['final']).
% 282.28/198.92 cnf(i_0_5888, plain, (function_inverse(X1)=relation_inverse(X1)|~relation(X1)|~function(X1)|~one_to_one(X1)), inference(split_conjunct,[status(thm)],[i_0_2719]), ['final']).
% 282.28/198.92 cnf(i_0_5889, plain, (antisymmetric(k2_lattice3(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2369]), ['final']).
% 282.28/198.92 cnf(i_0_5890, plain, (reflexive(k2_lattice3(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2369]), ['final']).
% 282.28/198.92 cnf(i_0_5891, plain, (transitive(k2_lattice3(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2369]), ['final']).
% 282.28/198.92 cnf(i_0_5892, plain, (empty_carrier(X1)|relation(relation_of_lattice(X1))|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2720]), ['final']).
% 282.28/198.92 cnf(i_0_5893, plain, (relation(the_L_meet(X1))|empty_carrier(X1)|~meet_associative(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2253]), ['final']).
% 282.28/198.92 cnf(i_0_5894, plain, (relation(the_L_meet(X1))|empty_carrier(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2254]), ['final']).
% 282.28/198.92 cnf(i_0_5895, plain, (relation(the_L_join(X1))|empty_carrier(X1)|~join_associative(X1)|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2255]), ['final']).
% 282.28/198.92 cnf(i_0_5896, plain, (relation(the_L_join(X1))|empty_carrier(X1)|~join_commutative(X1)|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2256]), ['final']).
% 282.28/198.92 cnf(i_0_5897, plain, (function(the_L_meet(X1))|empty_carrier(X1)|~meet_associative(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2253]), ['final']).
% 282.28/198.92 cnf(i_0_5898, plain, (function(the_L_meet(X1))|empty_carrier(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2254]), ['final']).
% 282.28/198.92 cnf(i_0_5899, plain, (function(the_L_join(X1))|empty_carrier(X1)|~join_associative(X1)|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2255]), ['final']).
% 282.28/198.92 cnf(i_0_5900, plain, (function(the_L_join(X1))|empty_carrier(X1)|~join_commutative(X1)|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2256]), ['final']).
% 282.28/198.92 cnf(i_0_5901, plain, (finite(esk220_1(X1))|empty_carrier(X1)|~reflexive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2535]), ['final']).
% 282.28/198.92 cnf(i_0_5902, plain, (with_infima_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2683]), ['final']).
% 282.28/198.92 cnf(i_0_5903, plain, (with_suprema_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2683]), ['final']).
% 282.28/198.92 cnf(i_0_5904, plain, (antisymmetric_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2682]), ['final']).
% 282.28/198.92 cnf(i_0_5905, plain, (antisymmetric_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2683]), ['final']).
% 282.28/198.92 cnf(i_0_5906, plain, (antisymmetric_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2721]), ['final']).
% 282.28/198.92 cnf(i_0_5907, plain, (transitive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2682]), ['final']).
% 282.28/198.92 cnf(i_0_5908, plain, (transitive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2683]), ['final']).
% 282.28/198.92 cnf(i_0_5909, plain, (transitive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2721]), ['final']).
% 282.28/198.92 cnf(i_0_5910, plain, (reflexive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2682]), ['final']).
% 282.28/198.92 cnf(i_0_5911, plain, (reflexive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2683]), ['final']).
% 282.28/198.92 cnf(i_0_5912, plain, (reflexive_relstr(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2721]), ['final']).
% 282.28/198.92 cnf(i_0_5913, plain, (strict_rel_str(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2682]), ['final']).
% 282.28/198.92 cnf(i_0_5914, plain, (strict_rel_str(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2683]), ['final']).
% 282.28/198.92 cnf(i_0_5915, plain, (strict_rel_str(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2721]), ['final']).
% 282.28/198.92 cnf(i_0_5916, plain, (rel_str(poset_of_lattice(X1))|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2721]), ['final']).
% 282.28/198.92 cnf(i_0_5917, plain, (ordinal(esk546_0)|element(esk544_0,powerset(powerset(empty_set)))|epred1_0), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5918, plain, (ordinal_subset(X1,X1)|~ordinal(X1)|~ordinal(X2)), inference(split_conjunct,[status(thm)],[i_0_2722]), ['final']).
% 282.28/198.92 cnf(i_0_5919, plain, (element(X1,X2)|~empty(X1)|~empty(X2)), inference(split_conjunct,[status(thm)],[i_0_2632]), ['final']).
% 282.28/198.92 cnf(i_0_5920, plain, (v1_yellow_3(X1)|~empty(the_InternalRel(X1))|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2723]), ['final']).
% 282.28/198.92 cnf(i_0_5921, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1))), inference(split_conjunct,[status(thm)],[i_0_2724]), ['final']).
% 282.28/198.92 cnf(i_0_5922, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1))), inference(split_conjunct,[status(thm)],[i_0_2725]), ['final']).
% 282.28/198.92 cnf(i_0_5923, plain, (empty_carrier(X1)|~empty(esk239_1(X1))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2563]), ['final']).
% 282.28/198.92 cnf(i_0_5924, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(cast_as_carrier_subset(X1))), inference(split_conjunct,[status(thm)],[i_0_2726]), ['final']).
% 282.28/198.92 cnf(i_0_5925, plain, (empty_carrier(X1)|~one_sorted_str(X1)|~empty(the_carrier(X1))), inference(split_conjunct,[status(thm)],[i_0_2727]), ['final']).
% 282.28/198.92 cnf(i_0_5926, plain, (empty_carrier(X1)|~empty(the_carrier(X1))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2728]), ['final']).
% 282.28/198.92 cnf(i_0_5927, plain, (set_union2(X1,X2)=set_union2(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2729]), ['final']).
% 282.28/198.92 cnf(i_0_5928, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2730]), ['final']).
% 282.28/198.92 cnf(i_0_5929, lemma, (relation_dom(X1)=X2|X1!=identity_relation(X2)|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2314]), ['final']).
% 282.28/198.92 cnf(i_0_5930, plain, (subrelstr(esk162_1(X1),X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2731]), ['final']).
% 282.28/198.92 cnf(i_0_5931, plain, (filtered_subset(esk202_1(X1),X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2580]), ['final']).
% 282.28/198.92 cnf(i_0_5932, plain, (directed_subset(esk202_1(X1),X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2580]), ['final']).
% 282.28/198.92 cnf(i_0_5933, plain, (strict_net_str(esk235_1(X1),X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2732]), ['final']).
% 282.28/198.92 cnf(i_0_5934, plain, (net_str(esk235_1(X1),X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2732]), ['final']).
% 282.28/198.92 cnf(i_0_5935, plain, (net_str(esk156_1(X1),X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2733]), ['final']).
% 282.28/198.92 cnf(i_0_5936, plain, (empty(X1)|complemented_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2734, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5937, plain, (empty(X1)|bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2735, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5938, plain, (empty(X1)|lower_bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2736, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5939, plain, (empty(X1)|heyting_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2737, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5940, plain, (empty(X1)|distributive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2738, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5941, plain, (empty(X1)|upper_bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2739, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5942, plain, (empty(X1)|with_infima_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2740, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5943, plain, (empty(X1)|with_suprema_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2741, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5944, plain, (empty(X1)|antisymmetric_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2742, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5945, plain, (empty(X1)|transitive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2743, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5946, plain, (empty(X1)|boolean_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2744, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5947, plain, (empty(X1)|join_complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2745, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5948, plain, (empty(X1)|up_complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2746, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5949, plain, (empty(X1)|complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2747, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5950, plain, (empty(X1)|reflexive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2748, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5951, plain, (empty(X1)|strict_rel_str(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2749, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5952, plain, (empty_carrier(X1)|relation_of_lattice(X1)=a_1_0_filter_1(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2750]), ['final']).
% 282.28/198.92 cnf(i_0_5953, plain, (empty_carrier(X1)|k2_lattice3(X1)=relation_of_lattice(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2751]), ['final']).
% 282.28/198.92 cnf(i_0_5954, plain, (element(esk544_0,powerset(powerset(empty_set)))|epred1_0|esk548_0!=empty_set), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_5955, plain, (subset(esk69_1(X1),X1)|X1=empty_set|centered(X1)), inference(split_conjunct,[status(thm)],[i_0_2583]), ['final']).
% 282.28/198.92 cnf(i_0_5956, plain, (element(esk218_1(X1),powerset(X1))), inference(split_conjunct,[status(thm)],[i_0_2629]), ['final']).
% 282.28/198.92 cnf(i_0_5957, plain, (element(esk217_1(X1),powerset(X1))), inference(split_conjunct,[status(thm)],[i_0_2752]), ['final']).
% 282.28/198.92 cnf(i_0_5958, plain, (element(esk209_1(X1),powerset(X1))), inference(split_conjunct,[status(thm)],[i_0_2753]), ['final']).
% 282.28/198.92 cnf(i_0_5959, lemma, (the_carrier(incl_POSet(powerset(X1)))=powerset(X1)), inference(rw,[status(thm)],[i_0_2754, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5960, plain, (X1!=X2|~proper_subset(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2645]), ['final']).
% 282.28/198.92 cnf(i_0_5961, plain, (one_to_one(X1)|~relation(X1)|~empty(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2755]), ['final']).
% 282.28/198.92 cnf(i_0_5962, plain, (reflexive(X1)|~relation(X1)|~symmetric(X1)|~transitive(X1)), inference(split_conjunct,[status(thm)],[i_0_2756]), ['final']).
% 282.28/198.92 cnf(i_0_5963, plain, (bounded_relstr(X1)|~rel_str(X1)|~lower_bounded_relstr(X1)|~upper_bounded_relstr(X1)), inference(split_conjunct,[status(thm)],[i_0_2757]), ['final']).
% 282.28/198.92 cnf(i_0_5964, plain, (empty_carrier(X1)|~v1_yellow_3(X1)|~reflexive_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2758]), ['final']).
% 282.28/198.92 cnf(i_0_5965, plain, (X1!=empty_set|~in(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2759]), ['final']).
% 282.28/198.92 cnf(i_0_5966, plain, (in(esk51_1(X1),X1)|relation(X1)), inference(split_conjunct,[status(thm)],[i_0_995]), ['final']).
% 282.28/198.92 cnf(i_0_5967, plain, (in(esk91_1(X1),X1)|epsilon_connected(X1)), inference(split_conjunct,[status(thm)],[i_0_2439]), ['final']).
% 282.28/198.92 cnf(i_0_5968, plain, (in(esk90_1(X1),X1)|epsilon_connected(X1)), inference(split_conjunct,[status(thm)],[i_0_2439]), ['final']).
% 282.28/198.92 cnf(i_0_5969, plain, (in(esk72_1(X1),X1)|epsilon_transitive(X1)), inference(split_conjunct,[status(thm)],[i_0_2605]), ['final']).
% 282.28/198.92 cnf(i_0_5970, lemma, (in(esk522_1(X1),X1)|ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2546]), ['final']).
% 282.28/198.92 cnf(i_0_5971, negated_conjecture, (upper_relstr_subset(esk519_0,incl_POSet(powerset(esk518_0)))), inference(rw,[status(thm)],[i_0_2760, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5972, negated_conjecture, (filtered_subset(esk519_0,incl_POSet(powerset(esk518_0)))), inference(rw,[status(thm)],[i_0_2761, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_5973, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2762]), ['final']).
% 282.28/198.92 cnf(i_0_5974, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1)), inference(split_conjunct,[status(thm)],[i_0_2762]), ['final']).
% 282.28/198.92 cnf(i_0_5975, plain, (empty(the_carrier(X1))|~empty_carrier(X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2728]), ['final']).
% 282.28/198.92 cnf(i_0_5976, lemma, (connected(X1)|esk178_1(X1)!=esk179_1(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_974]), ['final']).
% 282.28/198.92 cnf(i_0_5977, lemma, (antisymmetric(X1)|esk176_1(X1)!=esk177_1(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_966]), ['final']).
% 282.28/198.92 cnf(i_0_5978, plain, (epsilon_connected(X1)|~element(X1,omega)), inference(split_conjunct,[status(thm)],[i_0_2763]), ['final']).
% 282.28/198.92 cnf(i_0_5979, plain, (epsilon_transitive(X1)|~element(X1,omega)), inference(split_conjunct,[status(thm)],[i_0_2763]), ['final']).
% 282.28/198.92 cnf(i_0_5980, plain, (ordinal(X1)|~element(X1,omega)), inference(split_conjunct,[status(thm)],[i_0_2763]), ['final']).
% 282.28/198.92 cnf(i_0_5981, plain, (natural(X1)|~element(X1,omega)), inference(split_conjunct,[status(thm)],[i_0_2763]), ['final']).
% 282.28/198.92 cnf(i_0_5982, plain, (~empty(esk232_1(X1))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2475]), ['final']).
% 282.28/198.92 cnf(i_0_5983, plain, (bottom_of_relstr(X1)=join_on_relstr(X1,empty_set)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2764]), ['final']).
% 282.28/198.92 cnf(i_0_5984, lemma, (relation(esk258_1(X1))|esk256_1(X1)!=esk257_1(X1)), inference(split_conjunct,[status(thm)],[i_0_1002]), ['final']).
% 282.28/198.92 cnf(i_0_5985, lemma, (function(esk258_1(X1))|esk256_1(X1)!=esk257_1(X1)), inference(split_conjunct,[status(thm)],[i_0_1002]), ['final']).
% 282.28/198.92 cnf(i_0_5986, plain, (complemented_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2765]), ['final']).
% 282.28/198.92 cnf(i_0_5987, plain, (complemented_lattstr(X1)|empty_carrier(X1)|~boolean_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2766]), ['final']).
% 282.28/198.92 cnf(i_0_5988, plain, (distributive_lattstr(X1)|empty_carrier(X1)|~boolean_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2766]), ['final']).
% 282.28/198.92 cnf(i_0_5989, plain, (bounded_lattstr(X1)|empty_carrier(X1)|~boolean_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2766]), ['final']).
% 282.28/198.92 cnf(i_0_5990, plain, (upper_bounded_semilattstr(X1)|empty_carrier(X1)|~boolean_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2766]), ['final']).
% 282.28/198.92 cnf(i_0_5991, plain, (upper_bounded_semilattstr(X1)|empty_carrier(X1)|~bounded_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2767]), ['final']).
% 282.28/198.92 cnf(i_0_5992, plain, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|~boolean_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2766]), ['final']).
% 282.28/198.92 cnf(i_0_5993, plain, (lower_bounded_semilattstr(X1)|empty_carrier(X1)|~bounded_lattstr(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2767]), ['final']).
% 282.28/198.92 cnf(i_0_5994, plain, (join_absorbing(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2768]), ['final']).
% 282.28/198.92 cnf(i_0_5995, plain, (meet_absorbing(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2768]), ['final']).
% 282.28/198.92 cnf(i_0_5996, plain, (meet_associative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2768]), ['final']).
% 282.28/198.92 cnf(i_0_5997, plain, (meet_commutative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2768]), ['final']).
% 282.28/198.92 cnf(i_0_5998, plain, (join_associative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2768]), ['final']).
% 282.28/198.92 cnf(i_0_5999, plain, (join_commutative(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2768]), ['final']).
% 282.28/198.92 cnf(i_0_6000, plain, (bounded_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2765]), ['final']).
% 282.28/198.92 cnf(i_0_6001, plain, (bounded_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2769]), ['final']).
% 282.28/198.92 cnf(i_0_6002, plain, (lower_bounded_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2765]), ['final']).
% 282.28/198.92 cnf(i_0_6003, plain, (heyting_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2770]), ['final']).
% 282.28/198.92 cnf(i_0_6004, plain, (distributive_relstr(X1)|empty_carrier(X1)|~heyting_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2771]), ['final']).
% 282.28/198.92 cnf(i_0_6005, plain, (distributive_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2765]), ['final']).
% 282.28/198.92 cnf(i_0_6006, plain, (distributive_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2770]), ['final']).
% 282.28/198.92 cnf(i_0_6007, plain, (upper_bounded_relstr(X1)|empty_carrier(X1)|~heyting_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2772]), ['final']).
% 282.28/198.92 cnf(i_0_6008, plain, (upper_bounded_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2765]), ['final']).
% 282.28/198.92 cnf(i_0_6009, plain, (upper_bounded_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2770]), ['final']).
% 282.28/198.92 cnf(i_0_6010, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~heyting_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2773]), ['final']).
% 282.28/198.92 cnf(i_0_6011, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2765]), ['final']).
% 282.28/198.92 cnf(i_0_6012, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2770]), ['final']).
% 282.28/198.92 cnf(i_0_6013, plain, (with_infima_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2774]), ['final']).
% 282.28/198.92 cnf(i_0_6014, plain, (with_suprema_relstr(X1)|empty_carrier(X1)|~heyting_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2773]), ['final']).
% 282.28/198.92 cnf(i_0_6015, plain, (with_suprema_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2765]), ['final']).
% 282.28/198.92 cnf(i_0_6016, plain, (with_suprema_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2770]), ['final']).
% 282.28/198.92 cnf(i_0_6017, plain, (with_suprema_relstr(X1)|empty_carrier(X1)|~complete_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2774]), ['final']).
% 282.28/198.92 cnf(i_0_6018, plain, (antisymmetric_relstr(X1)|empty_carrier(X1)|~heyting_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2773]), ['final']).
% 282.28/198.92 cnf(i_0_6019, plain, (antisymmetric_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2765]), ['final']).
% 282.28/198.92 cnf(i_0_6020, plain, (antisymmetric_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2770]), ['final']).
% 282.28/198.92 cnf(i_0_6021, plain, (transitive_relstr(X1)|empty_carrier(X1)|~heyting_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2773]), ['final']).
% 282.28/198.92 cnf(i_0_6022, plain, (transitive_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2765]), ['final']).
% 282.28/198.92 cnf(i_0_6023, plain, (transitive_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2770]), ['final']).
% 282.28/198.92 cnf(i_0_6024, plain, (reflexive_relstr(X1)|empty_carrier(X1)|~heyting_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2773]), ['final']).
% 282.28/198.92 cnf(i_0_6025, plain, (reflexive_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2765]), ['final']).
% 282.28/198.92 cnf(i_0_6026, plain, (reflexive_relstr(X1)|empty_carrier(X1)|~boolean_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2770]), ['final']).
% 282.28/198.92 cnf(i_0_6027, plain, (directed_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2775, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6028, lemma, (antisymmetric(the_InternalRel(incl_POSet(X1)))), inference(rw,[status(thm)],[i_0_2776, c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_6029, plain, (antisymmetric(the_InternalRel(incl_POSet(X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2777, c_0_933]), c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_6030, plain, (complemented_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2778, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6031, plain, (complemented_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2779, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6032, lemma, (reflexive(the_InternalRel(incl_POSet(X1)))), inference(rw,[status(thm)],[i_0_2780, c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_6033, plain, (reflexive(the_InternalRel(incl_POSet(X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2781, c_0_933]), c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_6034, lemma, (transitive(the_InternalRel(incl_POSet(X1)))), inference(rw,[status(thm)],[i_0_2782, c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_6035, plain, (transitive(the_InternalRel(incl_POSet(X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_2783, c_0_933]), c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_6036, plain, (relation(the_InternalRel(incl_POSet(X1)))), inference(rw,[status(thm)],[i_0_2784, c_0_1670]), ['final']).
% 282.28/198.92 cnf(i_0_6037, plain, (bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2785, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6038, plain, (bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2786, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6039, plain, (bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2787, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6040, plain, (bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2788, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6041, plain, (bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2789, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6042, plain, (lower_bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2790, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6043, plain, (lower_bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2791, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6044, plain, (lower_bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2792, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6045, plain, (lower_bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2793, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6046, plain, (lower_bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2794, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6047, plain, (heyting_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2795, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6048, plain, (distributive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2796, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6049, plain, (distributive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2797, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6050, plain, (distributive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2798, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6051, plain, (upper_bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2799, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6052, plain, (upper_bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2800, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6053, plain, (upper_bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2801, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6054, plain, (upper_bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2802, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6055, plain, (upper_bounded_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2803, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6056, plain, (with_infima_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2804, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6057, plain, (with_infima_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2805, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6058, plain, (with_infima_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2806, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6059, plain, (with_infima_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2807, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6060, plain, (with_infima_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2808, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6061, plain, (with_suprema_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2809, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6062, plain, (with_suprema_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2810, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6063, plain, (with_suprema_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2811, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6064, plain, (with_suprema_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2812, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6065, plain, (with_suprema_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2813, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6066, plain, (antisymmetric_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2814, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6067, plain, (antisymmetric_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2815, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6068, plain, (antisymmetric_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2816, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6069, plain, (antisymmetric_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2817, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6070, plain, (antisymmetric_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2818, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6071, plain, (antisymmetric_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2819, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6072, plain, (transitive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2820, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6073, plain, (transitive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2821, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6074, plain, (transitive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2822, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6075, plain, (transitive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2823, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6076, plain, (transitive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2824, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6077, plain, (transitive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2825, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6078, plain, (boolean_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2826, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6079, plain, (join_complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2827, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6080, plain, (join_complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2828, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6081, plain, (join_complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2829, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6082, plain, (join_complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2830, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6083, plain, (up_complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2831, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6084, plain, (up_complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2832, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6085, plain, (up_complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2833, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6086, plain, (up_complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2834, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6087, plain, (complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2835, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6088, plain, (complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2836, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6089, plain, (complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2837, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6090, plain, (complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2838, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6091, plain, (complete_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2839, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6092, plain, (reflexive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2840, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6093, plain, (reflexive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2841, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6094, plain, (reflexive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2842, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6095, plain, (reflexive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2843, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6096, plain, (reflexive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2844, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6097, plain, (reflexive_relstr(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2845, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6098, plain, (strict_rel_str(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2846, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6099, plain, (strict_rel_str(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2847, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6100, plain, (strict_rel_str(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2848, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6101, plain, (strict_rel_str(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2849, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6102, plain, (strict_rel_str(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2850, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6103, plain, (strict_rel_str(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2851, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6104, plain, (strict_rel_str(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2852, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6105, plain, (rel_str(incl_POSet(powerset(X1)))), inference(rw,[status(thm)],[i_0_2853, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6106, lemma, (bottom_of_relstr(incl_POSet(powerset(X1)))=empty_set), inference(rw,[status(thm)],[i_0_2854, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6107, plain, (~proper_subset(X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2855]), ['final']).
% 282.28/198.92 cnf(i_0_6108, lemma, (unordered_pair(X1,X1)!=empty_set), inference(rw,[status(thm)],[i_0_2856, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_6109, lemma, (ordinal(esk528_1(X1))|being_limit_ordinal(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1115]), ['final']).
% 282.28/198.92 cnf(i_0_6110, lemma, (ordinal(esk527_1(X1))|being_limit_ordinal(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_1012]), ['final']).
% 282.28/198.92 cnf(i_0_6111, plain, (relation(the_InternalRel(X1))|v1_yellow_3(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2723]), ['final']).
% 282.28/198.92 cnf(i_0_6112, plain, (in(esk64_1(X1),X1)|X1=empty_set), inference(split_conjunct,[status(thm)],[i_0_2759]), ['final']).
% 282.28/198.92 cnf(i_0_6113, lemma, (X1=empty_set|~subset(X1,empty_set)), inference(split_conjunct,[status(thm)],[i_0_2857]), ['final']).
% 282.28/198.92 cnf(i_0_6114, lemma, (relation_rng(X1)=relation_dom(relation_inverse(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2858]), ['final']).
% 282.28/198.92 cnf(i_0_6115, lemma, (relation_dom(X1)=relation_rng(relation_inverse(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2858]), ['final']).
% 282.28/198.92 cnf(i_0_6116, plain, (identity_on_carrier(X1)=identity_relation(the_carrier(X1))|~one_sorted_str(X1)), inference(rw,[status(thm)],[i_0_2859, c_0_2519]), ['final']).
% 282.28/198.92 cnf(i_0_6117, plain, (~rel_str(X1)|~with_infima_relstr(X1)|~empty_carrier(X1)), inference(split_conjunct,[status(thm)],[i_0_2860]), ['final']).
% 282.28/198.92 cnf(i_0_6118, plain, (~rel_str(X1)|~with_suprema_relstr(X1)|~empty_carrier(X1)), inference(split_conjunct,[status(thm)],[i_0_2861]), ['final']).
% 282.28/198.92 cnf(i_0_6119, plain, (empty(X1)|~empty(esk233_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2701]), ['final']).
% 282.28/198.92 cnf(i_0_6120, plain, (empty(X1)|~empty(esk225_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2702]), ['final']).
% 282.28/198.92 cnf(i_0_6121, plain, (empty(X1)|~empty(esk200_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2703]), ['final']).
% 282.28/198.92 cnf(i_0_6122, plain, (empty(X1)|~empty_carrier(incl_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_2862]), ['final']).
% 282.28/198.92 cnf(i_0_6123, lemma, (relation_dom(esk516_1(X1))=X1|esk515_1(X1)=empty_set|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2345]), ['final']).
% 282.28/198.92 cnf(i_0_6124, plain, (poset_of_lattice(boole_lattice(X1))=incl_POSet(powerset(X1))), inference(rw,[status(thm)],[i_0_2863, c_0_2001]), ['final']).
% 282.28/198.92 cnf(i_0_6125, lemma, (well_orders(esk514_1(X1),X1)), inference(split_conjunct,[status(thm)],[i_0_2864]), ['final']).
% 282.28/198.92 cnf(i_0_6126, plain, (element(esk161_1(X1),X1)), inference(split_conjunct,[status(thm)],[i_0_2865]), ['final']).
% 282.28/198.92 cnf(i_0_6127, plain, (element(X1,powerset(X1))), inference(rw,[status(thm)],[i_0_2866, c_0_2208]), ['final']).
% 282.28/198.92 cnf(i_0_6128, plain, (in(X1,esk542_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2361]), ['final']).
% 282.28/198.92 cnf(i_0_6129, lemma, (in(X1,esk499_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2465]), ['final']).
% 282.28/198.92 cnf(i_0_6130, lemma, (relation(esk516_1(X1))|esk515_1(X1)=empty_set|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2345]), ['final']).
% 282.28/198.92 cnf(i_0_6131, lemma, (function(esk516_1(X1))|esk515_1(X1)=empty_set|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2345]), ['final']).
% 282.28/198.92 cnf(i_0_6132, plain, (well_founded_relation(X1)|~well_ordering(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2573]), ['final']).
% 282.28/198.92 cnf(i_0_6133, plain, (connected(X1)|~well_ordering(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2573]), ['final']).
% 282.28/198.92 cnf(i_0_6134, plain, (antisymmetric(X1)|~well_ordering(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2573]), ['final']).
% 282.28/198.92 cnf(i_0_6135, plain, (v1_yellow_3(X1)|~rel_str(X1)|~empty_carrier(X1)), inference(split_conjunct,[status(thm)],[i_0_2867]), ['final']).
% 282.28/198.92 cnf(i_0_6136, plain, (v1_yellow_3(X1)|~rel_str(X1)|~empty_carrier(X1)), inference(split_conjunct,[status(thm)],[i_0_2868]), ['final']).
% 282.28/198.92 cnf(i_0_6137, plain, (reflexive(X1)|~well_ordering(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2573]), ['final']).
% 282.28/198.92 cnf(i_0_6138, plain, (transitive(X1)|~well_ordering(X1)|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2573]), ['final']).
% 282.28/198.92 cnf(i_0_6139, plain, (preboolean(X1)|~cup_closed(X1)|~diff_closed(X1)), inference(split_conjunct,[status(thm)],[i_0_2869]), ['final']).
% 282.28/198.92 cnf(i_0_6140, plain, (epsilon_connected(X1)|~empty(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2870]), ['final']).
% 282.28/198.92 cnf(i_0_6141, plain, (epsilon_transitive(X1)|~empty(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2870]), ['final']).
% 282.28/198.92 cnf(i_0_6142, plain, (ordinal(X1)|~epsilon_transitive(X1)|~epsilon_connected(X1)), inference(split_conjunct,[status(thm)],[i_0_2871]), ['final']).
% 282.28/198.92 cnf(i_0_6143, plain, (ordinal(X1)|~epsilon_transitive(X1)|~epsilon_connected(X1)), inference(split_conjunct,[status(thm)],[i_0_2872]), ['final']).
% 282.28/198.92 cnf(i_0_6144, plain, (natural(X1)|~empty(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2870]), ['final']).
% 282.28/198.92 cnf(i_0_6145, plain, (lower_bounded_relstr(X1)|~bounded_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2873]), ['final']).
% 282.28/198.92 cnf(i_0_6146, plain, (upper_bounded_relstr(X1)|~bounded_relstr(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2873]), ['final']).
% 282.28/198.92 cnf(i_0_6147, plain, (well_founded_relation(X1)|esk78_1(X1)!=empty_set|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2245]), ['final']).
% 282.28/198.92 cnf(i_0_6148, lemma, (relation_rng(X1)=empty_set|relation_dom(X1)!=empty_set|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2874]), ['final']).
% 282.28/198.92 cnf(i_0_6149, lemma, (relation_dom(X1)=empty_set|relation_rng(X1)!=empty_set|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2874]), ['final']).
% 282.28/198.92 cnf(i_0_6150, plain, (relation_inverse(relation_inverse(X1))=X1|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2875]), ['final']).
% 282.28/198.92 cnf(i_0_6151, plain, (relation_rng(esk38_1(X1))=X1|~finite(X1)), inference(split_conjunct,[status(thm)],[i_0_2536]), ['final']).
% 282.28/198.92 cnf(i_0_6152, plain, (subset(X1,X2)|X1!=X2), inference(split_conjunct,[status(thm)],[i_0_2572]), ['final']).
% 282.28/198.92 cnf(i_0_6153, plain, (subset(X1,X2)|X2!=X1), inference(split_conjunct,[status(thm)],[i_0_2572]), ['final']).
% 282.28/198.92 cnf(i_0_6154, plain, (relation(esk38_1(X1))|~finite(X1)), inference(split_conjunct,[status(thm)],[i_0_2536]), ['final']).
% 282.28/198.92 cnf(i_0_6155, plain, (relation(relation_inverse(X1))|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2876]), ['final']).
% 282.28/198.92 cnf(i_0_6156, plain, (relation(relation_inverse(X1))|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2877]), ['final']).
% 282.28/198.92 cnf(i_0_6157, plain, (relation(relation_rng(X1))|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2878]), ['final']).
% 282.28/198.92 cnf(i_0_6158, plain, (relation(relation_dom(X1))|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2879]), ['final']).
% 282.28/198.92 cnf(i_0_6159, plain, (function(esk38_1(X1))|~finite(X1)), inference(split_conjunct,[status(thm)],[i_0_2536]), ['final']).
% 282.28/198.92 cnf(i_0_6160, plain, (function(identity_on_carrier(X1))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2447]), ['final']).
% 282.28/198.92 cnf(i_0_6161, plain, (function(the_L_meet(X1))|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2292]), ['final']).
% 282.28/198.92 cnf(i_0_6162, plain, (function(the_L_join(X1))|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2293]), ['final']).
% 282.28/198.92 cnf(i_0_6163, plain, (finite(esk232_1(X1))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2475]), ['final']).
% 282.28/198.92 cnf(i_0_6164, plain, (epsilon_connected(union(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2880]), ['final']).
% 282.28/198.92 cnf(i_0_6165, plain, (epsilon_transitive(union(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2880]), ['final']).
% 282.28/198.92 cnf(i_0_6166, plain, (ordinal(union(X1))|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2880]), ['final']).
% 282.28/198.92 cnf(i_0_6167, plain, (empty(relation_inverse(X1))|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2877]), ['final']).
% 282.28/198.92 cnf(i_0_6168, plain, (empty(empty_carrier_subset(X1))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2881]), ['final']).
% 282.28/198.92 cnf(i_0_6169, plain, (empty(relation_rng(X1))|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2878]), ['final']).
% 282.28/198.92 cnf(i_0_6170, plain, (empty(relation_dom(X1))|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2879]), ['final']).
% 282.28/198.92 cnf(i_0_6171, plain, (v5_membered(empty_carrier_subset(X1))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2881]), ['final']).
% 282.28/198.92 cnf(i_0_6172, plain, (v4_membered(empty_carrier_subset(X1))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2881]), ['final']).
% 282.28/198.92 cnf(i_0_6173, plain, (v3_membered(empty_carrier_subset(X1))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2881]), ['final']).
% 282.28/198.92 cnf(i_0_6174, plain, (v2_membered(empty_carrier_subset(X1))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2881]), ['final']).
% 282.28/198.92 cnf(i_0_6175, plain, (v1_membered(empty_carrier_subset(X1))|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2881]), ['final']).
% 282.28/198.92 cnf(i_0_6176, plain, (function(X1)|esk40_1(X1)!=esk41_1(X1)), inference(split_conjunct,[status(thm)],[i_0_968]), ['final']).
% 282.28/198.92 cnf(i_0_6177, plain, (epsilon_connected(X1)|esk90_1(X1)!=esk91_1(X1)), inference(split_conjunct,[status(thm)],[i_0_2439]), ['final']).
% 282.28/198.92 cnf(i_0_6178, plain, (~empty(esk222_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2646]), ['final']).
% 282.28/198.92 cnf(i_0_6179, plain, (~empty(powerset(X1))), inference(split_conjunct,[status(thm)],[i_0_2882]), ['final']).
% 282.28/198.92 cnf(i_0_6180, plain, (~empty(powerset(X1))), inference(split_conjunct,[status(thm)],[i_0_2883]), ['final']).
% 282.28/198.92 cnf(i_0_6181, plain, (~empty_carrier(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6182, plain, (~empty_carrier(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2885]), ['final']).
% 282.28/198.92 cnf(i_0_6183, plain, (~empty_carrier(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2886]), ['final']).
% 282.28/198.92 cnf(i_0_6184, plain, (~empty_carrier(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6185, plain, (finite(esk69_1(X1))|X1=empty_set|centered(X1)), inference(split_conjunct,[status(thm)],[i_0_2583]), ['final']).
% 282.28/198.92 cnf(i_0_6186, plain, (set_meet(esk69_1(X1))=empty_set|X1=empty_set|centered(X1)), inference(split_conjunct,[status(thm)],[i_0_2583]), ['final']).
% 282.28/198.92 cnf(i_0_6187, plain, (X1=X2|~empty(X1)|~empty(X2)), inference(split_conjunct,[status(thm)],[i_0_2888]), ['final']).
% 282.28/198.92 cnf(i_0_6188, lemma, (X1=empty_set|relation_rng(X1)!=empty_set|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2889]), ['final']).
% 282.28/198.92 cnf(i_0_6189, lemma, (X1=empty_set|relation_dom(X1)!=empty_set|~relation(X1)), inference(split_conjunct,[status(thm)],[i_0_2889]), ['final']).
% 282.28/198.92 cnf(i_0_6190, lemma, (cast_as_carrier_subset(X1)=the_carrier(X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2890]), ['final']).
% 282.28/198.92 cnf(i_0_6191, plain, (cast_as_carrier_subset(X1)=the_carrier(X1)|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2891]), ['final']).
% 282.28/198.92 cnf(i_0_6192, plain, (in(empty_set,X1)|X1!=omega), inference(split_conjunct,[status(thm)],[i_0_2481]), ['final']).
% 282.28/198.92 cnf(i_0_6193, plain, (ordinal(esk546_0)|in(empty_set,omega)|epred1_0), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_6194, plain, (finite(esk233_1(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2701]), ['final']).
% 282.28/198.92 cnf(i_0_6195, plain, (finite(esk225_1(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2702]), ['final']).
% 282.28/198.92 cnf(i_0_6196, plain, (antisymmetric_relstr(incl_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2862]), ['final']).
% 282.28/198.92 cnf(i_0_6197, plain, (transitive_relstr(incl_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2862]), ['final']).
% 282.28/198.92 cnf(i_0_6198, plain, (reflexive_relstr(incl_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2862]), ['final']).
% 282.28/198.92 cnf(i_0_6199, plain, (strict_rel_str(incl_POSet(X1))|empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2862]), ['final']).
% 282.28/198.92 cnf(i_0_6200, plain, (set_union2(X1,X1)=X1), inference(split_conjunct,[status(thm)],[i_0_2892]), ['final']).
% 282.28/198.92 cnf(i_0_6201, plain, (equipotent(X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2893]), ['final']).
% 282.28/198.92 cnf(i_0_6202, plain, (subset(X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2894]), ['final']).
% 282.28/198.92 cnf(i_0_6203, lemma, (unordered_pair(empty_set,empty_set)=powerset(empty_set)), inference(rw,[status(thm)],[i_0_2895, c_0_882]), ['final']).
% 282.28/198.92 cnf(i_0_6204, plain, (set_difference(X1,empty_set)=X1), inference(split_conjunct,[status(thm)],[i_0_2896]), ['final']).
% 282.28/198.92 cnf(i_0_6205, plain, (set_union2(X1,empty_set)=X1), inference(split_conjunct,[status(thm)],[i_0_2897]), ['final']).
% 282.28/198.92 cnf(i_0_6206, plain, (in(empty_set,omega)|epred1_0|esk548_0!=empty_set), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_6207, plain, (X1=empty_set|centered(X1)|esk69_1(X1)!=empty_set), inference(split_conjunct,[status(thm)],[i_0_2583]), ['final']).
% 282.28/198.92 cnf(i_0_6208, plain, (being_limit_ordinal(X1)|X1!=union(X1)), inference(split_conjunct,[status(thm)],[i_0_2898]), ['final']).
% 282.28/198.92 cnf(i_0_6209, lemma, (subset(empty_set,X1)), inference(split_conjunct,[status(thm)],[i_0_2899]), ['final']).
% 282.28/198.92 cnf(i_0_6210, plain, (set_difference(empty_set,X1)=empty_set), inference(split_conjunct,[status(thm)],[i_0_2900]), ['final']).
% 282.28/198.92 cnf(i_0_6211, plain, (X1=union(X1)|~being_limit_ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2898]), ['final']).
% 282.28/198.92 cnf(i_0_6212, plain, (X1=empty_set|X1!=set_meet(X2)|X2!=empty_set), inference(split_conjunct,[status(thm)],[i_0_2151]), ['final']).
% 282.28/198.92 cnf(i_0_6213, plain, (meet_semilatt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2901]), ['final']).
% 282.28/198.92 cnf(i_0_6214, plain, (join_semilatt_str(X1)|~latt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2901]), ['final']).
% 282.28/198.92 cnf(i_0_6215, plain, (relation(X1)|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2902]), ['final']).
% 282.28/198.92 cnf(i_0_6216, plain, (function(X1)|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2903]), ['final']).
% 282.28/198.92 cnf(i_0_6217, plain, (diff_closed(X1)|~preboolean(X1)), inference(split_conjunct,[status(thm)],[i_0_2904]), ['final']).
% 282.28/198.92 cnf(i_0_6218, plain, (cup_closed(X1)|~preboolean(X1)), inference(split_conjunct,[status(thm)],[i_0_2904]), ['final']).
% 282.28/198.92 cnf(i_0_6219, plain, (finite(X1)|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2905]), ['final']).
% 282.28/198.92 cnf(i_0_6220, plain, (epsilon_connected(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2871]), ['final']).
% 282.28/198.92 cnf(i_0_6221, plain, (epsilon_connected(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2906]), ['final']).
% 282.28/198.92 cnf(i_0_6222, plain, (epsilon_connected(X1)|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2907]), ['final']).
% 282.28/198.92 cnf(i_0_6223, plain, (epsilon_transitive(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2871]), ['final']).
% 282.28/198.92 cnf(i_0_6224, plain, (epsilon_transitive(X1)|~ordinal(X1)), inference(split_conjunct,[status(thm)],[i_0_2906]), ['final']).
% 282.28/198.92 cnf(i_0_6225, plain, (epsilon_transitive(X1)|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2907]), ['final']).
% 282.28/198.92 cnf(i_0_6226, plain, (ordinal(X1)|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2907]), ['final']).
% 282.28/198.92 cnf(i_0_6227, plain, (v5_membered(X1)|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2908]), ['final']).
% 282.28/198.92 cnf(i_0_6228, plain, (v4_membered(X1)|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2908]), ['final']).
% 282.28/198.92 cnf(i_0_6229, plain, (v4_membered(X1)|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2909]), ['final']).
% 282.28/198.92 cnf(i_0_6230, plain, (v3_membered(X1)|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2908]), ['final']).
% 282.28/198.92 cnf(i_0_6231, plain, (v3_membered(X1)|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2910]), ['final']).
% 282.28/198.92 cnf(i_0_6232, plain, (v2_membered(X1)|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2908]), ['final']).
% 282.28/198.92 cnf(i_0_6233, plain, (v2_membered(X1)|~v3_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2911]), ['final']).
% 282.28/198.92 cnf(i_0_6234, plain, (v1_membered(X1)|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2908]), ['final']).
% 282.28/198.92 cnf(i_0_6235, plain, (v1_membered(X1)|~v2_membered(X1)), inference(split_conjunct,[status(thm)],[i_0_2912]), ['final']).
% 282.28/198.92 cnf(i_0_6236, plain, (one_sorted_str(X1)|~top_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2913]), ['final']).
% 282.28/198.92 cnf(i_0_6237, plain, (one_sorted_str(X1)|~meet_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2914]), ['final']).
% 282.28/198.92 cnf(i_0_6238, plain, (one_sorted_str(X1)|~join_semilatt_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2915]), ['final']).
% 282.28/198.92 cnf(i_0_6239, plain, (one_sorted_str(X1)|~rel_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2916]), ['final']).
% 282.28/198.92 cnf(i_0_6240, plain, (empty_carrier_subset(X1)=empty_set|~one_sorted_str(X1)), inference(split_conjunct,[status(thm)],[i_0_2917]), ['final']).
% 282.28/198.92 cnf(i_0_6241, negated_conjecture, (in(esk520_0,esk519_0)), inference(split_conjunct,[status(thm)],[i_0_1123]), ['final']).
% 282.28/198.92 cnf(i_0_6242, lemma, (union(powerset(X1))=X1), inference(split_conjunct,[status(thm)],[i_0_2918]), ['final']).
% 282.28/198.92 cnf(i_0_6243, lemma, (relation_rng(identity_relation(X1))=X1), inference(split_conjunct,[status(thm)],[i_0_2919]), ['final']).
% 282.28/198.92 cnf(i_0_6244, lemma, (relation_dom(esk493_1(X1))=X1), inference(split_conjunct,[status(thm)],[i_0_1153]), ['final']).
% 282.28/198.92 cnf(i_0_6245, lemma, (relation_dom(identity_relation(X1))=X1), inference(split_conjunct,[status(thm)],[i_0_2919]), ['final']).
% 282.28/198.92 cnf(i_0_6246, lemma, (the_carrier(incl_POSet(X1))=X1), inference(split_conjunct,[status(thm)],[i_0_848]), ['final']).
% 282.28/198.92 cnf(i_0_6247, plain, (antisymmetric(esk229_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2521]), ['final']).
% 282.28/198.92 cnf(i_0_6248, plain, (antisymmetric(identity_relation(X1))), inference(split_conjunct,[status(thm)],[i_0_2920]), ['final']).
% 282.28/198.92 cnf(i_0_6249, plain, (modular_lattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6250, plain, (modular_lattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6251, plain, (complemented_lattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6252, plain, (complemented_lattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6253, plain, (distributive_lattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6254, plain, (distributive_lattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6255, plain, (boolean_lattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6256, plain, (boolean_lattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6257, plain, (one_to_one(esk211_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2520]), ['final']).
% 282.28/198.92 cnf(i_0_6258, plain, (one_to_one(esk209_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2753]), ['final']).
% 282.28/198.92 cnf(i_0_6259, plain, (reflexive(esk229_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2521]), ['final']).
% 282.28/198.92 cnf(i_0_6260, plain, (reflexive(identity_relation(X1))), inference(split_conjunct,[status(thm)],[i_0_2920]), ['final']).
% 282.28/198.92 cnf(i_0_6261, plain, (transitive(esk229_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2521]), ['final']).
% 282.28/198.92 cnf(i_0_6262, plain, (transitive(identity_relation(X1))), inference(split_conjunct,[status(thm)],[i_0_2920]), ['final']).
% 282.28/198.92 cnf(i_0_6263, plain, (symmetric(esk229_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2521]), ['final']).
% 282.28/198.92 cnf(i_0_6264, plain, (symmetric(identity_relation(X1))), inference(split_conjunct,[status(thm)],[i_0_2920]), ['final']).
% 282.28/198.92 cnf(i_0_6265, lemma, (relation(esk514_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2864]), ['final']).
% 282.28/198.92 cnf(i_0_6266, lemma, (relation(esk493_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1153]), ['final']).
% 282.28/198.92 cnf(i_0_6267, plain, (relation(esk229_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2521]), ['final']).
% 282.28/198.92 cnf(i_0_6268, plain, (relation(esk211_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2520]), ['final']).
% 282.28/198.92 cnf(i_0_6269, plain, (relation(esk209_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2753]), ['final']).
% 282.28/198.92 cnf(i_0_6270, plain, (relation(identity_relation(X1))), inference(split_conjunct,[status(thm)],[i_0_2920]), ['final']).
% 282.28/198.92 cnf(i_0_6271, plain, (relation(identity_relation(X1))), inference(split_conjunct,[status(thm)],[i_0_2921]), ['final']).
% 282.28/198.92 cnf(i_0_6272, plain, (relation(identity_relation(X1))), inference(split_conjunct,[status(thm)],[i_0_2922]), ['final']).
% 282.28/198.92 cnf(i_0_6273, plain, (bounded_lattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6274, plain, (bounded_lattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6275, plain, (upper_bounded_semilattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6276, plain, (upper_bounded_semilattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6277, lemma, (lower_bounded_semilattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2923]), ['final']).
% 282.28/198.92 cnf(i_0_6278, plain, (lower_bounded_semilattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6279, plain, (lower_bounded_semilattstr(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6280, plain, (join_absorbing(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6281, plain, (join_absorbing(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2885]), ['final']).
% 282.28/198.92 cnf(i_0_6282, plain, (join_absorbing(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6283, plain, (meet_absorbing(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6284, plain, (meet_absorbing(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2885]), ['final']).
% 282.28/198.92 cnf(i_0_6285, plain, (meet_absorbing(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6286, plain, (meet_associative(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6287, plain, (meet_associative(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2885]), ['final']).
% 282.28/198.92 cnf(i_0_6288, plain, (meet_associative(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6289, plain, (meet_commutative(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6290, plain, (meet_commutative(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2885]), ['final']).
% 282.28/198.92 cnf(i_0_6291, plain, (meet_commutative(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6292, plain, (join_associative(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6293, plain, (join_associative(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2885]), ['final']).
% 282.28/198.92 cnf(i_0_6294, plain, (join_associative(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6295, plain, (join_commutative(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6296, plain, (join_commutative(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2885]), ['final']).
% 282.28/198.92 cnf(i_0_6297, plain, (join_commutative(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6298, plain, (complete_latt_str(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6299, plain, (lattice(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6300, plain, (lattice(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2885]), ['final']).
% 282.28/198.92 cnf(i_0_6301, plain, (lattice(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6302, lemma, (function(esk493_1(X1))), inference(split_conjunct,[status(thm)],[i_0_1153]), ['final']).
% 282.28/198.92 cnf(i_0_6303, plain, (function(esk211_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2520]), ['final']).
% 282.28/198.92 cnf(i_0_6304, plain, (function(esk209_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2753]), ['final']).
% 282.28/198.92 cnf(i_0_6305, plain, (function(identity_relation(X1))), inference(split_conjunct,[status(thm)],[i_0_2920]), ['final']).
% 282.28/198.92 cnf(i_0_6306, plain, (function(identity_relation(X1))), inference(split_conjunct,[status(thm)],[i_0_2921]), ['final']).
% 282.28/198.92 cnf(i_0_6307, plain, (diff_closed(powerset(X1))), inference(split_conjunct,[status(thm)],[i_0_2883]), ['final']).
% 282.28/198.92 cnf(i_0_6308, plain, (cup_closed(powerset(X1))), inference(split_conjunct,[status(thm)],[i_0_2883]), ['final']).
% 282.28/198.92 cnf(i_0_6309, plain, (preboolean(powerset(X1))), inference(split_conjunct,[status(thm)],[i_0_2883]), ['final']).
% 282.28/198.92 cnf(i_0_6310, plain, (finite(esk222_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2646]), ['final']).
% 282.28/198.92 cnf(i_0_6311, plain, (finite(esk209_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2753]), ['final']).
% 282.28/198.92 cnf(i_0_6312, plain, (epsilon_connected(esk209_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2753]), ['final']).
% 282.28/198.92 cnf(i_0_6313, plain, (epsilon_transitive(esk209_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2753]), ['final']).
% 282.28/198.92 cnf(i_0_6314, plain, (ordinal(esk209_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2753]), ['final']).
% 282.28/198.92 cnf(i_0_6315, plain, (empty(esk217_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2752]), ['final']).
% 282.28/198.92 cnf(i_0_6316, plain, (empty(esk209_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2753]), ['final']).
% 282.28/198.92 cnf(i_0_6317, plain, (natural(esk209_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2753]), ['final']).
% 282.28/198.92 cnf(i_0_6318, plain, (antisymmetric_relstr(incl_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_2924]), ['final']).
% 282.28/198.92 cnf(i_0_6319, plain, (transitive_relstr(incl_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_2924]), ['final']).
% 282.28/198.92 cnf(i_0_6320, plain, (reflexive_relstr(incl_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_2924]), ['final']).
% 282.28/198.92 cnf(i_0_6321, plain, (strict_latt_str(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2884]), ['final']).
% 282.28/198.92 cnf(i_0_6322, plain, (strict_latt_str(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2885]), ['final']).
% 282.28/198.92 cnf(i_0_6323, plain, (strict_latt_str(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2886]), ['final']).
% 282.28/198.92 cnf(i_0_6324, plain, (strict_latt_str(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2887]), ['final']).
% 282.28/198.92 cnf(i_0_6325, plain, (strict_latt_str(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2925]), ['final']).
% 282.28/198.92 cnf(i_0_6326, plain, (latt_str(boole_lattice(X1))), inference(split_conjunct,[status(thm)],[i_0_2925]), ['final']).
% 282.28/198.92 cnf(i_0_6327, plain, (strict_rel_str(incl_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_2924]), ['final']).
% 282.28/198.92 cnf(i_0_6328, plain, (strict_rel_str(incl_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_2926]), ['final']).
% 282.28/198.92 cnf(i_0_6329, plain, (rel_str(incl_POSet(X1))), inference(split_conjunct,[status(thm)],[i_0_2926]), ['final']).
% 282.28/198.92 cnf(i_0_6330, lemma, (bottom_of_semilattstr(boole_lattice(X1))=empty_set), inference(split_conjunct,[status(thm)],[i_0_2923]), ['final']).
% 282.28/198.92 cnf(i_0_6331, plain, (X1=set_meet(X2)|X1!=empty_set|X2!=empty_set), inference(split_conjunct,[status(thm)],[i_0_2151]), ['final']).
% 282.28/198.92 cnf(i_0_6332, plain, (X1!=empty_set|~centered(X1)), inference(split_conjunct,[status(thm)],[i_0_2583]), ['final']).
% 282.28/198.92 cnf(i_0_6333, plain, (X1=empty_set|~empty(X1)), inference(split_conjunct,[status(thm)],[i_0_2927]), ['final']).
% 282.28/198.92 cnf(i_0_6334, plain, (being_limit_ordinal(X1)|X1!=omega), inference(split_conjunct,[status(thm)],[i_0_2481]), ['final']).
% 282.28/198.92 cnf(i_0_6335, plain, (ordinal(X1)|X1!=omega), inference(split_conjunct,[status(thm)],[i_0_2481]), ['final']).
% 282.28/198.92 cnf(i_0_6336, plain, (ordinal(esk546_0)|epred1_0|esk544_0!=empty_set), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_6337, plain, (~trivial_carrier(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6338, plain, (~v1_yellow_3(esk208_0)), inference(split_conjunct,[status(thm)],[i_0_2929]), ['final']).
% 282.28/198.92 cnf(i_0_6339, plain, (~v1_yellow_3(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6340, negated_conjecture, (~empty(esk519_0)), inference(split_conjunct,[status(thm)],[i_0_1123]), ['final']).
% 282.28/198.92 cnf(i_0_6341, negated_conjecture, (~empty(esk518_0)), inference(split_conjunct,[status(thm)],[i_0_1123]), ['final']).
% 282.28/198.92 cnf(i_0_6342, plain, (~empty(esk228_0)), inference(split_conjunct,[status(thm)],[i_0_2930]), ['final']).
% 282.28/198.92 cnf(i_0_6343, plain, (~empty(esk223_0)), inference(split_conjunct,[status(thm)],[i_0_2931]), ['final']).
% 282.28/198.92 cnf(i_0_6344, plain, (~empty(esk216_0)), inference(split_conjunct,[status(thm)],[i_0_2932]), ['final']).
% 282.28/198.92 cnf(i_0_6345, plain, (~empty(esk193_0)), inference(split_conjunct,[status(thm)],[i_0_2933]), ['final']).
% 282.28/198.92 cnf(i_0_6346, plain, (~empty(esk189_0)), inference(split_conjunct,[status(thm)],[i_0_2934]), ['final']).
% 282.28/198.92 cnf(i_0_6347, plain, (~empty(esk188_0)), inference(split_conjunct,[status(thm)],[i_0_2935]), ['final']).
% 282.28/198.92 cnf(i_0_6348, plain, (~empty(omega)), inference(split_conjunct,[status(thm)],[i_0_2936]), ['final']).
% 282.28/198.92 cnf(i_0_6349, plain, (~empty_carrier(esk246_0)), inference(split_conjunct,[status(thm)],[i_0_2937]), ['final']).
% 282.28/198.92 cnf(i_0_6350, plain, (~empty_carrier(esk241_0)), inference(split_conjunct,[status(thm)],[i_0_2938]), ['final']).
% 282.28/198.92 cnf(i_0_6351, plain, (~empty_carrier(esk240_0)), inference(split_conjunct,[status(thm)],[i_0_2939]), ['final']).
% 282.28/198.92 cnf(i_0_6352, plain, (~empty_carrier(esk238_0)), inference(split_conjunct,[status(thm)],[i_0_2940]), ['final']).
% 282.28/198.92 cnf(i_0_6353, plain, (~empty_carrier(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6354, plain, (~empty_carrier(esk231_0)), inference(split_conjunct,[status(thm)],[i_0_2942]), ['final']).
% 282.28/198.92 cnf(i_0_6355, plain, (~empty_carrier(esk224_0)), inference(split_conjunct,[status(thm)],[i_0_2943]), ['final']).
% 282.28/198.92 cnf(i_0_6356, plain, (~empty_carrier(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6357, plain, (~empty_carrier(esk213_0)), inference(split_conjunct,[status(thm)],[i_0_2945]), ['final']).
% 282.28/198.92 cnf(i_0_6358, plain, (~empty_carrier(esk212_0)), inference(split_conjunct,[status(thm)],[i_0_2946]), ['final']).
% 282.28/198.92 cnf(i_0_6359, plain, (~empty_carrier(esk208_0)), inference(split_conjunct,[status(thm)],[i_0_2929]), ['final']).
% 282.28/198.92 cnf(i_0_6360, plain, (~empty_carrier(esk207_0)), inference(split_conjunct,[status(thm)],[i_0_2947]), ['final']).
% 282.28/198.92 cnf(i_0_6361, plain, (~empty_carrier(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6362, plain, (~empty_carrier(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6363, plain, (~empty_carrier(esk203_0)), inference(split_conjunct,[status(thm)],[i_0_2949]), ['final']).
% 282.28/198.92 cnf(i_0_6364, plain, (~empty_carrier(esk192_0)), inference(split_conjunct,[status(thm)],[i_0_2950]), ['final']).
% 282.28/198.92 cnf(i_0_6365, plain, (~empty_carrier(esk187_0)), inference(split_conjunct,[status(thm)],[i_0_2951]), ['final']).
% 282.28/198.92 cnf(i_0_6366, plain, (~empty_carrier(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6367, plain, (~empty_carrier(esk185_0)), inference(split_conjunct,[status(thm)],[i_0_2953]), ['final']).
% 282.28/198.92 cnf(i_0_6368, plain, (~empty_carrier(esk184_0)), inference(split_conjunct,[status(thm)],[i_0_2954]), ['final']).
% 282.28/198.92 cnf(i_0_6369, plain, (~empty_carrier(esk183_0)), inference(split_conjunct,[status(thm)],[i_0_2955]), ['final']).
% 282.28/198.92 cnf(i_0_6370, plain, (~empty_carrier(esk181_0)), inference(split_conjunct,[status(thm)],[i_0_2956]), ['final']).
% 282.28/198.92 cnf(i_0_6371, plain, (epred1_0|esk548_0!=empty_set|esk544_0!=empty_set), inference(split_conjunct,[status(thm)],[i_0_985]), ['final']).
% 282.28/198.92 cnf(i_0_6372, plain, (relation_empty_yielding(esk234_0)), inference(split_conjunct,[status(thm)],[i_0_2957]), ['final']).
% 282.28/198.92 cnf(i_0_6373, plain, (relation_empty_yielding(esk230_0)), inference(split_conjunct,[status(thm)],[i_0_2958]), ['final']).
% 282.28/198.92 cnf(i_0_6374, plain, (relation_empty_yielding(esk198_0)), inference(split_conjunct,[status(thm)],[i_0_2959]), ['final']).
% 282.28/198.92 cnf(i_0_6375, plain, (relation_empty_yielding(empty_set)), inference(split_conjunct,[status(thm)],[fc2_ordinal1]), ['final']).
% 282.28/198.92 cnf(i_0_6376, plain, (relation_empty_yielding(empty_set)), inference(split_conjunct,[status(thm)],[fc12_relat_1]), ['final']).
% 282.28/198.92 cnf(i_0_6377, plain, (being_limit_ordinal(esk196_0)), inference(split_conjunct,[status(thm)],[i_0_2960]), ['final']).
% 282.28/198.92 cnf(i_0_6378, plain, (top_str(esk154_0)), inference(split_conjunct,[status(thm)],[i_0_2961]), ['final']).
% 282.28/198.92 cnf(i_0_6379, plain, (directed_relstr(esk238_0)), inference(split_conjunct,[status(thm)],[i_0_2940]), ['final']).
% 282.28/198.92 cnf(i_0_6380, plain, (meet_semilatt_str(esk152_0)), inference(split_conjunct,[status(thm)],[i_0_2962]), ['final']).
% 282.28/198.92 cnf(i_0_6381, plain, (join_semilatt_str(esk157_0)), inference(split_conjunct,[status(thm)],[i_0_2963]), ['final']).
% 282.28/198.92 cnf(i_0_6382, plain, (complemented_relstr(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6383, plain, (complemented_relstr(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6384, plain, (modular_lattstr(esk181_0)), inference(split_conjunct,[status(thm)],[i_0_2956]), ['final']).
% 282.28/198.92 cnf(i_0_6385, plain, (complemented_lattstr(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6386, plain, (complemented_lattstr(esk184_0)), inference(split_conjunct,[status(thm)],[i_0_2954]), ['final']).
% 282.28/198.92 cnf(i_0_6387, plain, (distributive_lattstr(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6388, plain, (distributive_lattstr(esk181_0)), inference(split_conjunct,[status(thm)],[i_0_2956]), ['final']).
% 282.28/198.92 cnf(i_0_6389, plain, (boolean_lattstr(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6390, plain, (v3_waybel_3(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6391, plain, (v3_waybel_3(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6392, plain, (v2_waybel_3(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6393, plain, (v2_waybel_3(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6394, plain, (trivial_carrier(esk207_0)), inference(split_conjunct,[status(thm)],[i_0_2947]), ['final']).
% 282.28/198.92 cnf(i_0_6395, plain, (one_to_one(esk226_0)), inference(split_conjunct,[status(thm)],[i_0_2964]), ['final']).
% 282.28/198.92 cnf(i_0_6396, plain, (one_to_one(esk214_0)), inference(split_conjunct,[status(thm)],[i_0_2965]), ['final']).
% 282.28/198.92 cnf(i_0_6397, plain, (one_to_one(esk197_0)), inference(split_conjunct,[status(thm)],[i_0_2966]), ['final']).
% 282.28/198.92 cnf(i_0_6398, plain, (one_to_one(empty_set)), inference(split_conjunct,[status(thm)],[fc2_ordinal1]), ['final']).
% 282.28/198.92 cnf(i_0_6399, plain, (connected_relstr(esk203_0)), inference(split_conjunct,[status(thm)],[i_0_2949]), ['final']).
% 282.28/198.92 cnf(i_0_6400, plain, (connected_relstr(esk185_0)), inference(split_conjunct,[status(thm)],[i_0_2953]), ['final']).
% 282.28/198.92 cnf(i_0_6401, plain, (relation(esk234_0)), inference(split_conjunct,[status(thm)],[i_0_2957]), ['final']).
% 282.28/198.92 cnf(i_0_6402, plain, (relation(esk230_0)), inference(split_conjunct,[status(thm)],[i_0_2958]), ['final']).
% 282.28/198.92 cnf(i_0_6403, plain, (relation(esk226_0)), inference(split_conjunct,[status(thm)],[i_0_2964]), ['final']).
% 282.28/198.92 cnf(i_0_6404, plain, (relation(esk216_0)), inference(split_conjunct,[status(thm)],[i_0_2932]), ['final']).
% 282.28/198.92 cnf(i_0_6405, plain, (relation(esk214_0)), inference(split_conjunct,[status(thm)],[i_0_2965]), ['final']).
% 282.28/198.92 cnf(i_0_6406, plain, (relation(esk210_0)), inference(split_conjunct,[status(thm)],[i_0_2967]), ['final']).
% 282.28/198.92 cnf(i_0_6407, plain, (relation(esk199_0)), inference(split_conjunct,[status(thm)],[i_0_2968]), ['final']).
% 282.28/198.92 cnf(i_0_6408, plain, (relation(esk198_0)), inference(split_conjunct,[status(thm)],[i_0_2959]), ['final']).
% 282.28/198.92 cnf(i_0_6409, plain, (relation(esk197_0)), inference(split_conjunct,[status(thm)],[i_0_2966]), ['final']).
% 282.28/198.92 cnf(i_0_6410, plain, (relation(esk190_0)), inference(split_conjunct,[status(thm)],[i_0_2969]), ['final']).
% 282.28/198.92 cnf(i_0_6411, plain, (relation(empty_set)), inference(split_conjunct,[status(thm)],[fc4_relat_1]), ['final']).
% 282.28/198.92 cnf(i_0_6412, plain, (relation(empty_set)), inference(split_conjunct,[status(thm)],[fc2_ordinal1]), ['final']).
% 282.28/198.92 cnf(i_0_6413, plain, (relation(empty_set)), inference(split_conjunct,[status(thm)],[fc12_relat_1]), ['final']).
% 282.28/198.92 cnf(i_0_6414, plain, (bounded_lattstr(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6415, plain, (bounded_lattstr(esk184_0)), inference(split_conjunct,[status(thm)],[i_0_2954]), ['final']).
% 282.28/198.92 cnf(i_0_6416, plain, (bounded_lattstr(esk183_0)), inference(split_conjunct,[status(thm)],[i_0_2955]), ['final']).
% 282.28/198.92 cnf(i_0_6417, plain, (upper_bounded_semilattstr(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6418, plain, (upper_bounded_semilattstr(esk184_0)), inference(split_conjunct,[status(thm)],[i_0_2954]), ['final']).
% 282.28/198.92 cnf(i_0_6419, plain, (upper_bounded_semilattstr(esk183_0)), inference(split_conjunct,[status(thm)],[i_0_2955]), ['final']).
% 282.28/198.92 cnf(i_0_6420, plain, (upper_bounded_semilattstr(esk181_0)), inference(split_conjunct,[status(thm)],[i_0_2956]), ['final']).
% 282.28/198.92 cnf(i_0_6421, plain, (lower_bounded_semilattstr(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6422, plain, (lower_bounded_semilattstr(esk184_0)), inference(split_conjunct,[status(thm)],[i_0_2954]), ['final']).
% 282.28/198.92 cnf(i_0_6423, plain, (lower_bounded_semilattstr(esk183_0)), inference(split_conjunct,[status(thm)],[i_0_2955]), ['final']).
% 282.28/198.92 cnf(i_0_6424, plain, (lower_bounded_semilattstr(esk181_0)), inference(split_conjunct,[status(thm)],[i_0_2956]), ['final']).
% 282.28/198.92 cnf(i_0_6425, plain, (join_absorbing(esk246_0)), inference(split_conjunct,[status(thm)],[i_0_2937]), ['final']).
% 282.28/198.92 cnf(i_0_6426, plain, (join_absorbing(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6427, plain, (join_absorbing(esk184_0)), inference(split_conjunct,[status(thm)],[i_0_2954]), ['final']).
% 282.28/198.92 cnf(i_0_6428, plain, (join_absorbing(esk183_0)), inference(split_conjunct,[status(thm)],[i_0_2955]), ['final']).
% 282.28/198.92 cnf(i_0_6429, plain, (join_absorbing(esk181_0)), inference(split_conjunct,[status(thm)],[i_0_2956]), ['final']).
% 282.28/198.92 cnf(i_0_6430, plain, (meet_absorbing(esk246_0)), inference(split_conjunct,[status(thm)],[i_0_2937]), ['final']).
% 282.28/198.92 cnf(i_0_6431, plain, (meet_absorbing(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6432, plain, (meet_absorbing(esk184_0)), inference(split_conjunct,[status(thm)],[i_0_2954]), ['final']).
% 282.28/198.92 cnf(i_0_6433, plain, (meet_absorbing(esk183_0)), inference(split_conjunct,[status(thm)],[i_0_2955]), ['final']).
% 282.28/198.92 cnf(i_0_6434, plain, (meet_absorbing(esk181_0)), inference(split_conjunct,[status(thm)],[i_0_2956]), ['final']).
% 282.28/198.92 cnf(i_0_6435, plain, (meet_associative(esk246_0)), inference(split_conjunct,[status(thm)],[i_0_2937]), ['final']).
% 282.28/198.92 cnf(i_0_6436, plain, (meet_associative(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6437, plain, (meet_associative(esk184_0)), inference(split_conjunct,[status(thm)],[i_0_2954]), ['final']).
% 282.28/198.92 cnf(i_0_6438, plain, (meet_associative(esk183_0)), inference(split_conjunct,[status(thm)],[i_0_2955]), ['final']).
% 282.28/198.92 cnf(i_0_6439, plain, (meet_associative(esk181_0)), inference(split_conjunct,[status(thm)],[i_0_2956]), ['final']).
% 282.28/198.92 cnf(i_0_6440, plain, (meet_commutative(esk246_0)), inference(split_conjunct,[status(thm)],[i_0_2937]), ['final']).
% 282.28/198.92 cnf(i_0_6441, plain, (meet_commutative(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6442, plain, (meet_commutative(esk184_0)), inference(split_conjunct,[status(thm)],[i_0_2954]), ['final']).
% 282.28/198.92 cnf(i_0_6443, plain, (meet_commutative(esk183_0)), inference(split_conjunct,[status(thm)],[i_0_2955]), ['final']).
% 282.28/198.92 cnf(i_0_6444, plain, (meet_commutative(esk181_0)), inference(split_conjunct,[status(thm)],[i_0_2956]), ['final']).
% 282.28/198.92 cnf(i_0_6445, plain, (join_associative(esk246_0)), inference(split_conjunct,[status(thm)],[i_0_2937]), ['final']).
% 282.28/198.92 cnf(i_0_6446, plain, (join_associative(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6447, plain, (join_associative(esk184_0)), inference(split_conjunct,[status(thm)],[i_0_2954]), ['final']).
% 282.28/198.92 cnf(i_0_6448, plain, (join_associative(esk183_0)), inference(split_conjunct,[status(thm)],[i_0_2955]), ['final']).
% 282.28/198.92 cnf(i_0_6449, plain, (join_associative(esk181_0)), inference(split_conjunct,[status(thm)],[i_0_2956]), ['final']).
% 282.28/198.92 cnf(i_0_6450, plain, (join_commutative(esk246_0)), inference(split_conjunct,[status(thm)],[i_0_2937]), ['final']).
% 282.28/198.92 cnf(i_0_6451, plain, (join_commutative(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6452, plain, (join_commutative(esk184_0)), inference(split_conjunct,[status(thm)],[i_0_2954]), ['final']).
% 282.28/198.92 cnf(i_0_6453, plain, (join_commutative(esk183_0)), inference(split_conjunct,[status(thm)],[i_0_2955]), ['final']).
% 282.28/198.92 cnf(i_0_6454, plain, (join_commutative(esk181_0)), inference(split_conjunct,[status(thm)],[i_0_2956]), ['final']).
% 282.28/198.92 cnf(i_0_6455, plain, (lattice(esk246_0)), inference(split_conjunct,[status(thm)],[i_0_2937]), ['final']).
% 282.28/198.92 cnf(i_0_6456, plain, (lattice(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6457, plain, (lattice(esk184_0)), inference(split_conjunct,[status(thm)],[i_0_2954]), ['final']).
% 282.28/198.92 cnf(i_0_6458, plain, (lattice(esk183_0)), inference(split_conjunct,[status(thm)],[i_0_2955]), ['final']).
% 282.28/198.92 cnf(i_0_6459, plain, (lattice(esk181_0)), inference(split_conjunct,[status(thm)],[i_0_2956]), ['final']).
% 282.28/198.92 cnf(i_0_6460, plain, (function(esk234_0)), inference(split_conjunct,[status(thm)],[i_0_2957]), ['final']).
% 282.28/198.92 cnf(i_0_6461, plain, (function(esk226_0)), inference(split_conjunct,[status(thm)],[i_0_2964]), ['final']).
% 282.28/198.92 cnf(i_0_6462, plain, (function(esk214_0)), inference(split_conjunct,[status(thm)],[i_0_2965]), ['final']).
% 282.28/198.92 cnf(i_0_6463, plain, (function(esk210_0)), inference(split_conjunct,[status(thm)],[i_0_2967]), ['final']).
% 282.28/198.92 cnf(i_0_6464, plain, (function(esk198_0)), inference(split_conjunct,[status(thm)],[i_0_2959]), ['final']).
% 282.28/198.92 cnf(i_0_6465, plain, (function(esk197_0)), inference(split_conjunct,[status(thm)],[i_0_2966]), ['final']).
% 282.28/198.92 cnf(i_0_6466, plain, (function(esk190_0)), inference(split_conjunct,[status(thm)],[i_0_2969]), ['final']).
% 282.28/198.92 cnf(i_0_6467, plain, (function(empty_set)), inference(split_conjunct,[status(thm)],[fc2_ordinal1]), ['final']).
% 282.28/198.92 cnf(i_0_6468, plain, (finite(esk189_0)), inference(split_conjunct,[status(thm)],[i_0_2934]), ['final']).
% 282.28/198.92 cnf(i_0_6469, plain, (epsilon_connected(esk228_0)), inference(split_conjunct,[status(thm)],[i_0_2930]), ['final']).
% 282.28/198.92 cnf(i_0_6470, plain, (epsilon_connected(esk214_0)), inference(split_conjunct,[status(thm)],[i_0_2965]), ['final']).
% 282.28/198.92 cnf(i_0_6471, plain, (epsilon_connected(esk196_0)), inference(split_conjunct,[status(thm)],[i_0_2960]), ['final']).
% 282.28/198.92 cnf(i_0_6472, plain, (epsilon_connected(esk195_0)), inference(split_conjunct,[status(thm)],[i_0_2970]), ['final']).
% 282.28/198.92 cnf(i_0_6473, plain, (epsilon_connected(esk188_0)), inference(split_conjunct,[status(thm)],[i_0_2935]), ['final']).
% 282.28/198.92 cnf(i_0_6474, plain, (epsilon_connected(empty_set)), inference(split_conjunct,[status(thm)],[fc2_ordinal1]), ['final']).
% 282.28/198.92 cnf(i_0_6475, plain, (epsilon_connected(omega)), inference(split_conjunct,[status(thm)],[i_0_2936]), ['final']).
% 282.28/198.92 cnf(i_0_6476, plain, (epsilon_transitive(esk228_0)), inference(split_conjunct,[status(thm)],[i_0_2930]), ['final']).
% 282.28/198.92 cnf(i_0_6477, plain, (epsilon_transitive(esk214_0)), inference(split_conjunct,[status(thm)],[i_0_2965]), ['final']).
% 282.28/198.92 cnf(i_0_6478, plain, (epsilon_transitive(esk196_0)), inference(split_conjunct,[status(thm)],[i_0_2960]), ['final']).
% 282.28/198.92 cnf(i_0_6479, plain, (epsilon_transitive(esk195_0)), inference(split_conjunct,[status(thm)],[i_0_2970]), ['final']).
% 282.28/198.92 cnf(i_0_6480, plain, (epsilon_transitive(esk188_0)), inference(split_conjunct,[status(thm)],[i_0_2935]), ['final']).
% 282.28/198.92 cnf(i_0_6481, plain, (epsilon_transitive(empty_set)), inference(split_conjunct,[status(thm)],[fc2_ordinal1]), ['final']).
% 282.28/198.92 cnf(i_0_6482, plain, (epsilon_transitive(omega)), inference(split_conjunct,[status(thm)],[i_0_2936]), ['final']).
% 282.28/198.92 cnf(i_0_6483, plain, (ordinal(esk228_0)), inference(split_conjunct,[status(thm)],[i_0_2930]), ['final']).
% 282.28/198.92 cnf(i_0_6484, plain, (ordinal(esk214_0)), inference(split_conjunct,[status(thm)],[i_0_2965]), ['final']).
% 282.28/198.92 cnf(i_0_6485, plain, (ordinal(esk196_0)), inference(split_conjunct,[status(thm)],[i_0_2960]), ['final']).
% 282.28/198.92 cnf(i_0_6486, plain, (ordinal(esk195_0)), inference(split_conjunct,[status(thm)],[i_0_2970]), ['final']).
% 282.28/198.92 cnf(i_0_6487, plain, (ordinal(esk188_0)), inference(split_conjunct,[status(thm)],[i_0_2935]), ['final']).
% 282.28/198.92 cnf(i_0_6488, plain, (ordinal(empty_set)), inference(split_conjunct,[status(thm)],[fc2_ordinal1]), ['final']).
% 282.28/198.92 cnf(i_0_6489, plain, (ordinal(omega)), inference(split_conjunct,[status(thm)],[i_0_2936]), ['final']).
% 282.28/198.92 cnf(i_0_6490, negated_conjecture, (empty(esk520_0)), inference(split_conjunct,[status(thm)],[i_0_1123]), ['final']).
% 282.28/198.92 cnf(i_0_6491, plain, (empty(esk214_0)), inference(split_conjunct,[status(thm)],[i_0_2965]), ['final']).
% 282.28/198.92 cnf(i_0_6492, plain, (empty(esk210_0)), inference(split_conjunct,[status(thm)],[i_0_2967]), ['final']).
% 282.28/198.92 cnf(i_0_6493, plain, (empty(esk206_0)), inference(split_conjunct,[status(thm)],[i_0_2971]), ['final']).
% 282.28/198.92 cnf(i_0_6494, plain, (empty(esk199_0)), inference(split_conjunct,[status(thm)],[i_0_2968]), ['final']).
% 282.28/198.92 cnf(i_0_6495, plain, (empty(esk197_0)), inference(split_conjunct,[status(thm)],[i_0_2966]), ['final']).
% 282.28/198.92 cnf(i_0_6496, plain, (empty(empty_set)), inference(split_conjunct,[status(thm)],[fc6_membered]), ['final']).
% 282.28/198.92 cnf(i_0_6497, plain, (empty(empty_set)), inference(split_conjunct,[status(thm)],[fc4_relat_1]), ['final']).
% 282.28/198.92 cnf(i_0_6498, plain, (empty(empty_set)), inference(split_conjunct,[status(thm)],[fc2_ordinal1]), ['final']).
% 282.28/198.92 cnf(i_0_6499, plain, (empty(empty_set)), inference(split_conjunct,[status(thm)],[fc1_xboole_0]), ['final']).
% 282.28/198.92 cnf(i_0_6500, plain, (empty(empty_set)), inference(split_conjunct,[status(thm)],[fc12_relat_1]), ['final']).
% 282.28/198.92 cnf(i_0_6501, plain, (natural(esk188_0)), inference(split_conjunct,[status(thm)],[i_0_2935]), ['final']).
% 282.28/198.92 cnf(i_0_6502, plain, (v5_membered(esk193_0)), inference(split_conjunct,[status(thm)],[i_0_2933]), ['final']).
% 282.28/198.92 cnf(i_0_6503, plain, (v5_membered(empty_set)), inference(split_conjunct,[status(thm)],[fc6_membered]), ['final']).
% 282.28/198.92 cnf(i_0_6504, plain, (v4_membered(esk193_0)), inference(split_conjunct,[status(thm)],[i_0_2933]), ['final']).
% 282.28/198.92 cnf(i_0_6505, plain, (v4_membered(empty_set)), inference(split_conjunct,[status(thm)],[fc6_membered]), ['final']).
% 282.28/198.92 cnf(i_0_6506, plain, (bounded_relstr(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6507, plain, (bounded_relstr(esk224_0)), inference(split_conjunct,[status(thm)],[i_0_2943]), ['final']).
% 282.28/198.92 cnf(i_0_6508, plain, (bounded_relstr(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6509, plain, (bounded_relstr(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6510, plain, (bounded_relstr(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6511, plain, (bounded_relstr(esk203_0)), inference(split_conjunct,[status(thm)],[i_0_2949]), ['final']).
% 282.28/198.92 cnf(i_0_6512, plain, (bounded_relstr(esk187_0)), inference(split_conjunct,[status(thm)],[i_0_2951]), ['final']).
% 282.28/198.92 cnf(i_0_6513, plain, (v3_membered(esk193_0)), inference(split_conjunct,[status(thm)],[i_0_2933]), ['final']).
% 282.28/198.92 cnf(i_0_6514, plain, (v3_membered(empty_set)), inference(split_conjunct,[status(thm)],[fc6_membered]), ['final']).
% 282.28/198.92 cnf(i_0_6515, plain, (lower_bounded_relstr(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6516, plain, (lower_bounded_relstr(esk224_0)), inference(split_conjunct,[status(thm)],[i_0_2943]), ['final']).
% 282.28/198.92 cnf(i_0_6517, plain, (lower_bounded_relstr(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6518, plain, (lower_bounded_relstr(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6519, plain, (lower_bounded_relstr(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6520, plain, (lower_bounded_relstr(esk203_0)), inference(split_conjunct,[status(thm)],[i_0_2949]), ['final']).
% 282.28/198.92 cnf(i_0_6521, plain, (lower_bounded_relstr(esk187_0)), inference(split_conjunct,[status(thm)],[i_0_2951]), ['final']).
% 282.28/198.92 cnf(i_0_6522, plain, (v2_membered(esk193_0)), inference(split_conjunct,[status(thm)],[i_0_2933]), ['final']).
% 282.28/198.92 cnf(i_0_6523, plain, (v2_membered(empty_set)), inference(split_conjunct,[status(thm)],[fc6_membered]), ['final']).
% 282.28/198.92 cnf(i_0_6524, plain, (heyting_relstr(esk240_0)), inference(split_conjunct,[status(thm)],[i_0_2939]), ['final']).
% 282.28/198.92 cnf(i_0_6525, plain, (heyting_relstr(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6526, plain, (heyting_relstr(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6527, plain, (distributive_relstr(esk240_0)), inference(split_conjunct,[status(thm)],[i_0_2939]), ['final']).
% 282.28/198.92 cnf(i_0_6528, plain, (distributive_relstr(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6529, plain, (distributive_relstr(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6530, plain, (distributive_relstr(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6531, plain, (upper_bounded_relstr(esk240_0)), inference(split_conjunct,[status(thm)],[i_0_2939]), ['final']).
% 282.28/198.92 cnf(i_0_6532, plain, (upper_bounded_relstr(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6533, plain, (upper_bounded_relstr(esk224_0)), inference(split_conjunct,[status(thm)],[i_0_2943]), ['final']).
% 282.28/198.92 cnf(i_0_6534, plain, (upper_bounded_relstr(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6535, plain, (upper_bounded_relstr(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6536, plain, (upper_bounded_relstr(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6537, plain, (upper_bounded_relstr(esk203_0)), inference(split_conjunct,[status(thm)],[i_0_2949]), ['final']).
% 282.28/198.92 cnf(i_0_6538, plain, (upper_bounded_relstr(esk187_0)), inference(split_conjunct,[status(thm)],[i_0_2951]), ['final']).
% 282.28/198.92 cnf(i_0_6539, plain, (with_infima_relstr(esk240_0)), inference(split_conjunct,[status(thm)],[i_0_2939]), ['final']).
% 282.28/198.92 cnf(i_0_6540, plain, (with_infima_relstr(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6541, plain, (with_infima_relstr(esk224_0)), inference(split_conjunct,[status(thm)],[i_0_2943]), ['final']).
% 282.28/198.92 cnf(i_0_6542, plain, (with_infima_relstr(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6543, plain, (with_infima_relstr(esk212_0)), inference(split_conjunct,[status(thm)],[i_0_2946]), ['final']).
% 282.28/198.92 cnf(i_0_6544, plain, (with_infima_relstr(esk207_0)), inference(split_conjunct,[status(thm)],[i_0_2947]), ['final']).
% 282.28/198.92 cnf(i_0_6545, plain, (with_infima_relstr(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6546, plain, (with_infima_relstr(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6547, plain, (with_infima_relstr(esk203_0)), inference(split_conjunct,[status(thm)],[i_0_2949]), ['final']).
% 282.28/198.92 cnf(i_0_6548, plain, (with_infima_relstr(esk187_0)), inference(split_conjunct,[status(thm)],[i_0_2951]), ['final']).
% 282.28/198.92 cnf(i_0_6549, plain, (with_suprema_relstr(esk240_0)), inference(split_conjunct,[status(thm)],[i_0_2939]), ['final']).
% 282.28/198.92 cnf(i_0_6550, plain, (with_suprema_relstr(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6551, plain, (with_suprema_relstr(esk224_0)), inference(split_conjunct,[status(thm)],[i_0_2943]), ['final']).
% 282.28/198.92 cnf(i_0_6552, plain, (with_suprema_relstr(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6553, plain, (with_suprema_relstr(esk212_0)), inference(split_conjunct,[status(thm)],[i_0_2946]), ['final']).
% 282.28/198.92 cnf(i_0_6554, plain, (with_suprema_relstr(esk207_0)), inference(split_conjunct,[status(thm)],[i_0_2947]), ['final']).
% 282.28/198.92 cnf(i_0_6555, plain, (with_suprema_relstr(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6556, plain, (with_suprema_relstr(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6557, plain, (with_suprema_relstr(esk203_0)), inference(split_conjunct,[status(thm)],[i_0_2949]), ['final']).
% 282.28/198.92 cnf(i_0_6558, plain, (with_suprema_relstr(esk187_0)), inference(split_conjunct,[status(thm)],[i_0_2951]), ['final']).
% 282.28/198.92 cnf(i_0_6559, plain, (antisymmetric_relstr(esk240_0)), inference(split_conjunct,[status(thm)],[i_0_2939]), ['final']).
% 282.28/198.92 cnf(i_0_6560, plain, (antisymmetric_relstr(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6561, plain, (antisymmetric_relstr(esk224_0)), inference(split_conjunct,[status(thm)],[i_0_2943]), ['final']).
% 282.28/198.92 cnf(i_0_6562, plain, (antisymmetric_relstr(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6563, plain, (antisymmetric_relstr(esk213_0)), inference(split_conjunct,[status(thm)],[i_0_2945]), ['final']).
% 282.28/198.92 cnf(i_0_6564, plain, (antisymmetric_relstr(esk212_0)), inference(split_conjunct,[status(thm)],[i_0_2946]), ['final']).
% 282.28/198.92 cnf(i_0_6565, plain, (antisymmetric_relstr(esk208_0)), inference(split_conjunct,[status(thm)],[i_0_2929]), ['final']).
% 282.28/198.92 cnf(i_0_6566, plain, (antisymmetric_relstr(esk207_0)), inference(split_conjunct,[status(thm)],[i_0_2947]), ['final']).
% 282.28/198.92 cnf(i_0_6567, plain, (antisymmetric_relstr(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6568, plain, (antisymmetric_relstr(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6569, plain, (antisymmetric_relstr(esk203_0)), inference(split_conjunct,[status(thm)],[i_0_2949]), ['final']).
% 282.28/198.92 cnf(i_0_6570, plain, (antisymmetric_relstr(esk192_0)), inference(split_conjunct,[status(thm)],[i_0_2950]), ['final']).
% 282.28/198.92 cnf(i_0_6571, plain, (antisymmetric_relstr(esk187_0)), inference(split_conjunct,[status(thm)],[i_0_2951]), ['final']).
% 282.28/198.92 cnf(i_0_6572, plain, (antisymmetric_relstr(esk185_0)), inference(split_conjunct,[status(thm)],[i_0_2953]), ['final']).
% 282.28/198.92 cnf(i_0_6573, plain, (transitive_relstr(esk240_0)), inference(split_conjunct,[status(thm)],[i_0_2939]), ['final']).
% 282.28/198.92 cnf(i_0_6574, plain, (transitive_relstr(esk238_0)), inference(split_conjunct,[status(thm)],[i_0_2940]), ['final']).
% 282.28/198.92 cnf(i_0_6575, plain, (transitive_relstr(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6576, plain, (transitive_relstr(esk224_0)), inference(split_conjunct,[status(thm)],[i_0_2943]), ['final']).
% 282.28/198.92 cnf(i_0_6577, plain, (transitive_relstr(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6578, plain, (transitive_relstr(esk213_0)), inference(split_conjunct,[status(thm)],[i_0_2945]), ['final']).
% 282.28/198.92 cnf(i_0_6579, plain, (transitive_relstr(esk212_0)), inference(split_conjunct,[status(thm)],[i_0_2946]), ['final']).
% 282.28/198.92 cnf(i_0_6580, plain, (transitive_relstr(esk208_0)), inference(split_conjunct,[status(thm)],[i_0_2929]), ['final']).
% 282.28/198.92 cnf(i_0_6581, plain, (transitive_relstr(esk207_0)), inference(split_conjunct,[status(thm)],[i_0_2947]), ['final']).
% 282.28/198.92 cnf(i_0_6582, plain, (transitive_relstr(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6583, plain, (transitive_relstr(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6584, plain, (transitive_relstr(esk203_0)), inference(split_conjunct,[status(thm)],[i_0_2949]), ['final']).
% 282.28/198.92 cnf(i_0_6585, plain, (transitive_relstr(esk192_0)), inference(split_conjunct,[status(thm)],[i_0_2950]), ['final']).
% 282.28/198.92 cnf(i_0_6586, plain, (transitive_relstr(esk187_0)), inference(split_conjunct,[status(thm)],[i_0_2951]), ['final']).
% 282.28/198.92 cnf(i_0_6587, plain, (transitive_relstr(esk185_0)), inference(split_conjunct,[status(thm)],[i_0_2953]), ['final']).
% 282.28/198.92 cnf(i_0_6588, plain, (boolean_relstr(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6589, plain, (boolean_relstr(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6590, plain, (join_complete_relstr(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6591, plain, (join_complete_relstr(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6592, plain, (join_complete_relstr(esk203_0)), inference(split_conjunct,[status(thm)],[i_0_2949]), ['final']).
% 282.28/198.92 cnf(i_0_6593, plain, (join_complete_relstr(esk187_0)), inference(split_conjunct,[status(thm)],[i_0_2951]), ['final']).
% 282.28/198.92 cnf(i_0_6594, plain, (up_complete_relstr(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6595, plain, (up_complete_relstr(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6596, plain, (up_complete_relstr(esk203_0)), inference(split_conjunct,[status(thm)],[i_0_2949]), ['final']).
% 282.28/198.92 cnf(i_0_6597, plain, (up_complete_relstr(esk187_0)), inference(split_conjunct,[status(thm)],[i_0_2951]), ['final']).
% 282.28/198.92 cnf(i_0_6598, plain, (complete_relstr(esk224_0)), inference(split_conjunct,[status(thm)],[i_0_2943]), ['final']).
% 282.28/198.92 cnf(i_0_6599, plain, (complete_relstr(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6600, plain, (complete_relstr(esk212_0)), inference(split_conjunct,[status(thm)],[i_0_2946]), ['final']).
% 282.28/198.92 cnf(i_0_6601, plain, (complete_relstr(esk207_0)), inference(split_conjunct,[status(thm)],[i_0_2947]), ['final']).
% 282.28/198.92 cnf(i_0_6602, plain, (complete_relstr(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6603, plain, (complete_relstr(esk203_0)), inference(split_conjunct,[status(thm)],[i_0_2949]), ['final']).
% 282.28/198.92 cnf(i_0_6604, plain, (complete_relstr(esk192_0)), inference(split_conjunct,[status(thm)],[i_0_2950]), ['final']).
% 282.28/198.92 cnf(i_0_6605, plain, (complete_relstr(esk187_0)), inference(split_conjunct,[status(thm)],[i_0_2951]), ['final']).
% 282.28/198.92 cnf(i_0_6606, plain, (reflexive_relstr(esk240_0)), inference(split_conjunct,[status(thm)],[i_0_2939]), ['final']).
% 282.28/198.92 cnf(i_0_6607, plain, (reflexive_relstr(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6608, plain, (reflexive_relstr(esk224_0)), inference(split_conjunct,[status(thm)],[i_0_2943]), ['final']).
% 282.28/198.92 cnf(i_0_6609, plain, (reflexive_relstr(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6610, plain, (reflexive_relstr(esk213_0)), inference(split_conjunct,[status(thm)],[i_0_2945]), ['final']).
% 282.28/198.92 cnf(i_0_6611, plain, (reflexive_relstr(esk212_0)), inference(split_conjunct,[status(thm)],[i_0_2946]), ['final']).
% 282.28/198.92 cnf(i_0_6612, plain, (reflexive_relstr(esk208_0)), inference(split_conjunct,[status(thm)],[i_0_2929]), ['final']).
% 282.28/198.92 cnf(i_0_6613, plain, (reflexive_relstr(esk207_0)), inference(split_conjunct,[status(thm)],[i_0_2947]), ['final']).
% 282.28/198.92 cnf(i_0_6614, plain, (reflexive_relstr(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6615, plain, (reflexive_relstr(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6616, plain, (reflexive_relstr(esk203_0)), inference(split_conjunct,[status(thm)],[i_0_2949]), ['final']).
% 282.28/198.92 cnf(i_0_6617, plain, (reflexive_relstr(esk192_0)), inference(split_conjunct,[status(thm)],[i_0_2950]), ['final']).
% 282.28/198.92 cnf(i_0_6618, plain, (reflexive_relstr(esk187_0)), inference(split_conjunct,[status(thm)],[i_0_2951]), ['final']).
% 282.28/198.92 cnf(i_0_6619, plain, (reflexive_relstr(esk185_0)), inference(split_conjunct,[status(thm)],[i_0_2953]), ['final']).
% 282.28/198.92 cnf(i_0_6620, plain, (v1_membered(esk193_0)), inference(split_conjunct,[status(thm)],[i_0_2933]), ['final']).
% 282.28/198.92 cnf(i_0_6621, plain, (v1_membered(empty_set)), inference(split_conjunct,[status(thm)],[fc6_membered]), ['final']).
% 282.28/198.92 cnf(i_0_6622, plain, (one_sorted_str(esk231_0)), inference(split_conjunct,[status(thm)],[i_0_2942]), ['final']).
% 282.28/198.92 cnf(i_0_6623, plain, (one_sorted_str(esk155_0)), inference(split_conjunct,[status(thm)],[i_0_2972]), ['final']).
% 282.28/198.92 cnf(i_0_6624, plain, (strict_latt_str(esk246_0)), inference(split_conjunct,[status(thm)],[i_0_2937]), ['final']).
% 282.28/198.92 cnf(i_0_6625, plain, (strict_latt_str(esk241_0)), inference(split_conjunct,[status(thm)],[i_0_2938]), ['final']).
% 282.28/198.92 cnf(i_0_6626, plain, (strict_latt_str(esk227_0)), inference(split_conjunct,[status(thm)],[i_0_2973]), ['final']).
% 282.28/198.92 cnf(i_0_6627, plain, (strict_latt_str(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6628, plain, (strict_latt_str(esk184_0)), inference(split_conjunct,[status(thm)],[i_0_2954]), ['final']).
% 282.28/198.92 cnf(i_0_6629, plain, (strict_latt_str(esk183_0)), inference(split_conjunct,[status(thm)],[i_0_2955]), ['final']).
% 282.28/198.92 cnf(i_0_6630, plain, (strict_latt_str(esk181_0)), inference(split_conjunct,[status(thm)],[i_0_2956]), ['final']).
% 282.28/198.92 cnf(i_0_6631, plain, (latt_str(esk246_0)), inference(split_conjunct,[status(thm)],[i_0_2937]), ['final']).
% 282.28/198.92 cnf(i_0_6632, plain, (latt_str(esk241_0)), inference(split_conjunct,[status(thm)],[i_0_2938]), ['final']).
% 282.28/198.92 cnf(i_0_6633, plain, (latt_str(esk227_0)), inference(split_conjunct,[status(thm)],[i_0_2973]), ['final']).
% 282.28/198.92 cnf(i_0_6634, plain, (latt_str(esk186_0)), inference(split_conjunct,[status(thm)],[i_0_2952]), ['final']).
% 282.28/198.92 cnf(i_0_6635, plain, (latt_str(esk184_0)), inference(split_conjunct,[status(thm)],[i_0_2954]), ['final']).
% 282.28/198.92 cnf(i_0_6636, plain, (latt_str(esk183_0)), inference(split_conjunct,[status(thm)],[i_0_2955]), ['final']).
% 282.28/198.92 cnf(i_0_6637, plain, (latt_str(esk181_0)), inference(split_conjunct,[status(thm)],[i_0_2956]), ['final']).
% 282.28/198.92 cnf(i_0_6638, plain, (latt_str(esk158_0)), inference(split_conjunct,[status(thm)],[i_0_2974]), ['final']).
% 282.28/198.92 cnf(i_0_6639, plain, (strict_rel_str(esk240_0)), inference(split_conjunct,[status(thm)],[i_0_2939]), ['final']).
% 282.28/198.92 cnf(i_0_6640, plain, (strict_rel_str(esk238_0)), inference(split_conjunct,[status(thm)],[i_0_2940]), ['final']).
% 282.28/198.92 cnf(i_0_6641, plain, (strict_rel_str(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6642, plain, (strict_rel_str(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6643, plain, (strict_rel_str(esk213_0)), inference(split_conjunct,[status(thm)],[i_0_2945]), ['final']).
% 282.28/198.92 cnf(i_0_6644, plain, (strict_rel_str(esk212_0)), inference(split_conjunct,[status(thm)],[i_0_2946]), ['final']).
% 282.28/198.92 cnf(i_0_6645, plain, (strict_rel_str(esk208_0)), inference(split_conjunct,[status(thm)],[i_0_2929]), ['final']).
% 282.28/198.92 cnf(i_0_6646, plain, (strict_rel_str(esk207_0)), inference(split_conjunct,[status(thm)],[i_0_2947]), ['final']).
% 282.28/198.92 cnf(i_0_6647, plain, (strict_rel_str(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6648, plain, (strict_rel_str(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6649, plain, (strict_rel_str(esk194_0)), inference(split_conjunct,[status(thm)],[i_0_2975]), ['final']).
% 282.28/198.92 cnf(i_0_6650, plain, (strict_rel_str(esk192_0)), inference(split_conjunct,[status(thm)],[i_0_2950]), ['final']).
% 282.28/198.92 cnf(i_0_6651, plain, (strict_rel_str(esk187_0)), inference(split_conjunct,[status(thm)],[i_0_2951]), ['final']).
% 282.28/198.92 cnf(i_0_6652, plain, (rel_str(esk240_0)), inference(split_conjunct,[status(thm)],[i_0_2939]), ['final']).
% 282.28/198.92 cnf(i_0_6653, plain, (rel_str(esk238_0)), inference(split_conjunct,[status(thm)],[i_0_2940]), ['final']).
% 282.28/198.92 cnf(i_0_6654, plain, (rel_str(esk236_0)), inference(split_conjunct,[status(thm)],[i_0_2941]), ['final']).
% 282.28/198.92 cnf(i_0_6655, plain, (rel_str(esk224_0)), inference(split_conjunct,[status(thm)],[i_0_2943]), ['final']).
% 282.28/198.92 cnf(i_0_6656, plain, (rel_str(esk221_0)), inference(split_conjunct,[status(thm)],[i_0_2944]), ['final']).
% 282.28/198.92 cnf(i_0_6657, plain, (rel_str(esk213_0)), inference(split_conjunct,[status(thm)],[i_0_2945]), ['final']).
% 282.28/198.92 cnf(i_0_6658, plain, (rel_str(esk212_0)), inference(split_conjunct,[status(thm)],[i_0_2946]), ['final']).
% 282.28/198.92 cnf(i_0_6659, plain, (rel_str(esk208_0)), inference(split_conjunct,[status(thm)],[i_0_2929]), ['final']).
% 282.28/198.92 cnf(i_0_6660, plain, (rel_str(esk207_0)), inference(split_conjunct,[status(thm)],[i_0_2947]), ['final']).
% 282.28/198.92 cnf(i_0_6661, plain, (rel_str(esk205_0)), inference(split_conjunct,[status(thm)],[i_0_2928]), ['final']).
% 282.28/198.92 cnf(i_0_6662, plain, (rel_str(esk204_0)), inference(split_conjunct,[status(thm)],[i_0_2948]), ['final']).
% 282.28/198.92 cnf(i_0_6663, plain, (rel_str(esk203_0)), inference(split_conjunct,[status(thm)],[i_0_2949]), ['final']).
% 282.28/198.92 cnf(i_0_6664, plain, (rel_str(esk194_0)), inference(split_conjunct,[status(thm)],[i_0_2975]), ['final']).
% 282.28/198.92 cnf(i_0_6665, plain, (rel_str(esk192_0)), inference(split_conjunct,[status(thm)],[i_0_2950]), ['final']).
% 282.28/198.92 cnf(i_0_6666, plain, (rel_str(esk187_0)), inference(split_conjunct,[status(thm)],[i_0_2951]), ['final']).
% 282.28/198.92 cnf(i_0_6667, plain, (rel_str(esk185_0)), inference(split_conjunct,[status(thm)],[i_0_2953]), ['final']).
% 282.28/198.92 cnf(i_0_6668, plain, (rel_str(esk153_0)), inference(split_conjunct,[status(thm)],[i_0_2976]), ['final']).
% 282.28/198.92 cnf(i_0_6669, lemma, (relation_rng(empty_set)=empty_set), inference(split_conjunct,[status(thm)],[t60_relat_1]), ['final']).
% 282.28/198.92 cnf(i_0_6670, lemma, (relation_dom(empty_set)=empty_set), inference(split_conjunct,[status(thm)],[t60_relat_1]), ['final']).
% 282.28/198.92 cnf(i_0_6671, axiom, (X1=X1)).
% 282.28/198.92 cnf(i_0_6672, axiom, (X1=X2|X2!=X1)).
% 282.28/198.92 cnf(i_0_6673, axiom, (X1=X2|X1!=X3|X3!=X2)).
% 282.28/198.92 cnf(i_0_6674, axiom, (X1!=X2|esk287_2(X1,X3)=esk287_2(X2,X3))).
% 282.28/198.92 cnf(i_0_6675, axiom, (X1!=X2|esk287_2(X3,X1)=esk287_2(X3,X2))).
% 282.28/198.92 cnf(i_0_6676, axiom, (X1!=X2|relation_dom_restriction(X1,X3)=relation_dom_restriction(X2,X3))).
% 282.28/198.92 cnf(i_0_6677, axiom, (X1!=X2|relation_dom_restriction(X3,X1)=relation_dom_restriction(X3,X2))).
% 282.28/198.92 cnf(i_0_6678, axiom, (X1!=X2|esk464_2(X1,X3)=esk464_2(X2,X3))).
% 282.28/198.92 cnf(i_0_6679, axiom, (X1!=X2|esk464_2(X3,X1)=esk464_2(X3,X2))).
% 282.28/198.92 cnf(i_0_6680, axiom, (X1!=X2|esk467_2(X1,X3)=esk467_2(X2,X3))).
% 282.28/198.92 cnf(i_0_6681, axiom, (X1!=X2|esk467_2(X3,X1)=esk467_2(X3,X2))).
% 282.28/198.92 cnf(i_0_6682, axiom, (X1!=X2|esk466_2(X1,X3)=esk466_2(X2,X3))).
% 282.28/198.92 cnf(i_0_6683, axiom, (X1!=X2|esk466_2(X3,X1)=esk466_2(X3,X2))).
% 282.28/198.92 cnf(i_0_6684, axiom, (X1!=X2|esk470_3(X1,X3,X4)=esk470_3(X2,X3,X4))).
% 282.28/198.92 cnf(i_0_6685, axiom, (X1!=X2|esk470_3(X3,X1,X4)=esk470_3(X3,X2,X4))).
% 282.28/198.92 cnf(i_0_6686, axiom, (X1!=X2|esk470_3(X3,X4,X1)=esk470_3(X3,X4,X2))).
% 282.28/198.92 cnf(i_0_6687, axiom, (X1!=X2|esk288_2(X1,X3)=esk288_2(X2,X3))).
% 282.28/198.92 cnf(i_0_6688, axiom, (X1!=X2|esk288_2(X3,X1)=esk288_2(X3,X2))).
% 282.28/198.92 cnf(i_0_6689, axiom, (X1!=X2|esk463_2(X1,X3)=esk463_2(X2,X3))).
% 282.28/198.92 cnf(i_0_6690, axiom, (X1!=X2|esk463_2(X3,X1)=esk463_2(X3,X2))).
% 282.28/198.92 cnf(i_0_6691, axiom, (X1!=X2|esk465_2(X1,X3)=esk465_2(X2,X3))).
% 282.28/198.92 cnf(i_0_6692, axiom, (X1!=X2|esk465_2(X3,X1)=esk465_2(X3,X2))).
% 282.28/198.92 cnf(i_0_6693, axiom, (X1!=X2|esk296_4(X1,X3,X4,X5)=esk296_4(X2,X3,X4,X5))).
% 282.28/198.92 cnf(i_0_6694, axiom, (X1!=X2|esk296_4(X3,X1,X4,X5)=esk296_4(X3,X2,X4,X5))).
% 282.28/198.92 cnf(i_0_6695, axiom, (X1!=X2|esk296_4(X3,X4,X1,X5)=esk296_4(X3,X4,X2,X5))).
% 282.28/198.92 cnf(i_0_6696, axiom, (X1!=X2|esk296_4(X3,X4,X5,X1)=esk296_4(X3,X4,X5,X2))).
% 282.28/198.92 cnf(i_0_6697, axiom, (X1!=X2|esk401_4(X1,X3,X4,X5)=esk401_4(X2,X3,X4,X5))).
% 282.28/198.92 cnf(i_0_6698, axiom, (X1!=X2|esk401_4(X3,X1,X4,X5)=esk401_4(X3,X2,X4,X5))).
% 282.28/198.92 cnf(i_0_6699, axiom, (X1!=X2|esk401_4(X3,X4,X1,X5)=esk401_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6700, axiom, (X1!=X2|esk401_4(X3,X4,X5,X1)=esk401_4(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6701, axiom, (X1!=X2|esk462_2(X1,X3)=esk462_2(X2,X3))).
% 282.28/198.93 cnf(i_0_6702, axiom, (X1!=X2|esk462_2(X3,X1)=esk462_2(X3,X2))).
% 282.28/198.93 cnf(i_0_6703, axiom, (X1!=X2|esk390_4(X1,X3,X4,X5)=esk390_4(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6704, axiom, (X1!=X2|esk390_4(X3,X1,X4,X5)=esk390_4(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6705, axiom, (X1!=X2|esk390_4(X3,X4,X1,X5)=esk390_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6706, axiom, (X1!=X2|esk390_4(X3,X4,X5,X1)=esk390_4(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6707, axiom, (X1!=X2|esk391_4(X1,X3,X4,X5)=esk391_4(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6708, axiom, (X1!=X2|esk391_4(X3,X1,X4,X5)=esk391_4(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6709, axiom, (X1!=X2|esk391_4(X3,X4,X1,X5)=esk391_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6710, axiom, (X1!=X2|esk391_4(X3,X4,X5,X1)=esk391_4(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6711, axiom, (X1!=X2|esk372_4(X1,X3,X4,X5)=esk372_4(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6712, axiom, (X1!=X2|esk372_4(X3,X1,X4,X5)=esk372_4(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6713, axiom, (X1!=X2|esk372_4(X3,X4,X1,X5)=esk372_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6714, axiom, (X1!=X2|esk372_4(X3,X4,X5,X1)=esk372_4(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6715, axiom, (X1!=X2|esk373_4(X1,X3,X4,X5)=esk373_4(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6716, axiom, (X1!=X2|esk373_4(X3,X1,X4,X5)=esk373_4(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6717, axiom, (X1!=X2|esk373_4(X3,X4,X1,X5)=esk373_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6718, axiom, (X1!=X2|esk373_4(X3,X4,X5,X1)=esk373_4(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6719, axiom, (X1!=X2|esk448_4(X1,X3,X4,X5)=esk448_4(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6720, axiom, (X1!=X2|esk448_4(X3,X1,X4,X5)=esk448_4(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6721, axiom, (X1!=X2|esk448_4(X3,X4,X1,X5)=esk448_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6722, axiom, (X1!=X2|esk448_4(X3,X4,X5,X1)=esk448_4(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6723, axiom, (X1!=X2|esk286_2(X1,X3)=esk286_2(X2,X3))).
% 282.28/198.93 cnf(i_0_6724, axiom, (X1!=X2|esk286_2(X3,X1)=esk286_2(X3,X2))).
% 282.28/198.93 cnf(i_0_6725, axiom, (X1!=X2|esk449_4(X1,X3,X4,X5)=esk449_4(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6726, axiom, (X1!=X2|esk449_4(X3,X1,X4,X5)=esk449_4(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6727, axiom, (X1!=X2|esk449_4(X3,X4,X1,X5)=esk449_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6728, axiom, (X1!=X2|esk449_4(X3,X4,X5,X1)=esk449_4(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6729, axiom, (X1!=X2|esk444_4(X1,X3,X4,X5)=esk444_4(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6730, axiom, (X1!=X2|esk444_4(X3,X1,X4,X5)=esk444_4(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6731, axiom, (X1!=X2|esk444_4(X3,X4,X1,X5)=esk444_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6732, axiom, (X1!=X2|esk444_4(X3,X4,X5,X1)=esk444_4(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6733, axiom, (X1!=X2|esk445_4(X1,X3,X4,X5)=esk445_4(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6734, axiom, (X1!=X2|esk445_4(X3,X1,X4,X5)=esk445_4(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6735, axiom, (X1!=X2|esk445_4(X3,X4,X1,X5)=esk445_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6736, axiom, (X1!=X2|esk445_4(X3,X4,X5,X1)=esk445_4(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6737, axiom, (X1!=X2|esk423_4(X1,X3,X4,X5)=esk423_4(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6738, axiom, (X1!=X2|esk423_4(X3,X1,X4,X5)=esk423_4(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6739, axiom, (X1!=X2|esk423_4(X3,X4,X1,X5)=esk423_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6740, axiom, (X1!=X2|esk423_4(X3,X4,X5,X1)=esk423_4(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6741, axiom, (X1!=X2|esk123_5(X1,X3,X4,X5,X6)=esk123_5(X2,X3,X4,X5,X6))).
% 282.28/198.93 cnf(i_0_6742, axiom, (X1!=X2|esk123_5(X3,X1,X4,X5,X6)=esk123_5(X3,X2,X4,X5,X6))).
% 282.28/198.93 cnf(i_0_6743, axiom, (X1!=X2|esk123_5(X3,X4,X1,X5,X6)=esk123_5(X3,X4,X2,X5,X6))).
% 282.28/198.93 cnf(i_0_6744, axiom, (X1!=X2|esk123_5(X3,X4,X5,X1,X6)=esk123_5(X3,X4,X5,X2,X6))).
% 282.28/198.93 cnf(i_0_6745, axiom, (X1!=X2|esk123_5(X3,X4,X5,X6,X1)=esk123_5(X3,X4,X5,X6,X2))).
% 282.28/198.93 cnf(i_0_6746, axiom, (X1!=X2|netstr_restr_to_element(X1,X3,X4)=netstr_restr_to_element(X2,X3,X4))).
% 282.28/198.93 cnf(i_0_6747, axiom, (X1!=X2|netstr_restr_to_element(X3,X1,X4)=netstr_restr_to_element(X3,X2,X4))).
% 282.28/198.93 cnf(i_0_6748, axiom, (X1!=X2|netstr_restr_to_element(X3,X4,X1)=netstr_restr_to_element(X3,X4,X2))).
% 282.28/198.93 cnf(i_0_6749, axiom, (X1!=X2|fiber(X1,X3)=fiber(X2,X3))).
% 282.28/198.93 cnf(i_0_6750, axiom, (X1!=X2|fiber(X3,X1)=fiber(X3,X2))).
% 282.28/198.93 cnf(i_0_6751, axiom, (X1!=X2|esk285_2(X1,X3)=esk285_2(X2,X3))).
% 282.28/198.93 cnf(i_0_6752, axiom, (X1!=X2|esk285_2(X3,X1)=esk285_2(X3,X2))).
% 282.28/198.93 cnf(i_0_6753, axiom, (X1!=X2|esk61_3(X1,X3,X4)=esk61_3(X2,X3,X4))).
% 282.28/198.93 cnf(i_0_6754, axiom, (X1!=X2|esk61_3(X3,X1,X4)=esk61_3(X3,X2,X4))).
% 282.28/198.93 cnf(i_0_6755, axiom, (X1!=X2|esk61_3(X3,X4,X1)=esk61_3(X3,X4,X2))).
% 282.28/198.93 cnf(i_0_6756, axiom, (X1!=X2|relation_inverse_image(X1,X3)=relation_inverse_image(X2,X3))).
% 282.28/198.93 cnf(i_0_6757, axiom, (X1!=X2|relation_inverse_image(X3,X1)=relation_inverse_image(X3,X2))).
% 282.28/198.93 cnf(i_0_6758, axiom, (X1!=X2|relation_dom_as_subset(X1,X3,X4)=relation_dom_as_subset(X2,X3,X4))).
% 282.28/198.93 cnf(i_0_6759, axiom, (X1!=X2|relation_dom_as_subset(X3,X1,X4)=relation_dom_as_subset(X3,X2,X4))).
% 282.28/198.93 cnf(i_0_6760, axiom, (X1!=X2|relation_dom_as_subset(X3,X4,X1)=relation_dom_as_subset(X3,X4,X2))).
% 282.28/198.93 cnf(i_0_6761, axiom, (X1!=X2|set_union2(X1,X3)=set_union2(X2,X3))).
% 282.28/198.93 cnf(i_0_6762, axiom, (X1!=X2|set_union2(X3,X1)=set_union2(X3,X2))).
% 282.28/198.93 cnf(i_0_6763, axiom, (X1!=X2|esk553_4(X1,X3,X4,X5)=esk553_4(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6764, axiom, (X1!=X2|esk553_4(X3,X1,X4,X5)=esk553_4(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6765, axiom, (X1!=X2|esk553_4(X3,X4,X1,X5)=esk553_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6766, axiom, (X1!=X2|esk553_4(X3,X4,X5,X1)=esk553_4(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6767, axiom, (X1!=X2|esk552_3(X1,X3,X4)=esk552_3(X2,X3,X4))).
% 282.28/198.93 cnf(i_0_6768, axiom, (X1!=X2|esk552_3(X3,X1,X4)=esk552_3(X3,X2,X4))).
% 282.28/198.93 cnf(i_0_6769, axiom, (X1!=X2|esk552_3(X3,X4,X1)=esk552_3(X3,X4,X2))).
% 282.28/198.93 cnf(i_0_6770, axiom, (X1!=X2|esk551_4(X1,X3,X4,X5)=esk551_4(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6771, axiom, (X1!=X2|esk551_4(X3,X1,X4,X5)=esk551_4(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6772, axiom, (X1!=X2|esk551_4(X3,X4,X1,X5)=esk551_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6773, axiom, (X1!=X2|esk551_4(X3,X4,X5,X1)=esk551_4(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6774, axiom, (X1!=X2|esk550_3(X1,X3,X4)=esk550_3(X2,X3,X4))).
% 282.28/198.93 cnf(i_0_6775, axiom, (X1!=X2|esk550_3(X3,X1,X4)=esk550_3(X3,X2,X4))).
% 282.28/198.93 cnf(i_0_6776, axiom, (X1!=X2|esk550_3(X3,X4,X1)=esk550_3(X3,X4,X2))).
% 282.28/198.93 cnf(i_0_6777, axiom, (X1!=X2|esk124_4(X1,X3,X4,X5)=esk124_4(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6778, axiom, (X1!=X2|esk124_4(X3,X1,X4,X5)=esk124_4(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6779, axiom, (X1!=X2|esk124_4(X3,X4,X1,X5)=esk124_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6780, axiom, (X1!=X2|esk124_4(X3,X4,X5,X1)=esk124_4(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6781, axiom, (X1!=X2|the_InternalRel(X1)=the_InternalRel(X2))).
% 282.28/198.93 cnf(i_0_6782, axiom, (X1!=X2|relation_restriction_as_relation_of(X1,X3)=relation_restriction_as_relation_of(X2,X3))).
% 282.28/198.93 cnf(i_0_6783, axiom, (X1!=X2|relation_restriction_as_relation_of(X3,X1)=relation_restriction_as_relation_of(X3,X2))).
% 282.28/198.93 cnf(i_0_6784, axiom, (X1!=X2|partfun_dom_restriction(X1,X3,X4,X5)=partfun_dom_restriction(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6785, axiom, (X1!=X2|partfun_dom_restriction(X3,X1,X4,X5)=partfun_dom_restriction(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6786, axiom, (X1!=X2|partfun_dom_restriction(X3,X4,X1,X5)=partfun_dom_restriction(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6787, axiom, (X1!=X2|partfun_dom_restriction(X3,X4,X5,X1)=partfun_dom_restriction(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6788, axiom, (X1!=X2|apply_netmap(X1,X3,X4)=apply_netmap(X2,X3,X4))).
% 282.28/198.93 cnf(i_0_6789, axiom, (X1!=X2|apply_netmap(X3,X1,X4)=apply_netmap(X3,X2,X4))).
% 282.28/198.93 cnf(i_0_6790, axiom, (X1!=X2|apply_netmap(X3,X4,X1)=apply_netmap(X3,X4,X2))).
% 282.28/198.93 cnf(i_0_6791, axiom, (X1!=X2|relation_inverse(X1)=relation_inverse(X2))).
% 282.28/198.93 cnf(i_0_6792, axiom, (X1!=X2|esk125_4(X1,X3,X4,X5)=esk125_4(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6793, axiom, (X1!=X2|esk125_4(X3,X1,X4,X5)=esk125_4(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6794, axiom, (X1!=X2|esk125_4(X3,X4,X1,X5)=esk125_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6795, axiom, (X1!=X2|esk125_4(X3,X4,X5,X1)=esk125_4(X3,X4,X5,X2))).
% 282.28/198.93 cnf(i_0_6796, axiom, (X1!=X2|esk253_4(X1,X3,X4,X5)=esk253_4(X2,X3,X4,X5))).
% 282.28/198.93 cnf(i_0_6797, axiom, (X1!=X2|esk253_4(X3,X1,X4,X5)=esk253_4(X3,X2,X4,X5))).
% 282.28/198.93 cnf(i_0_6798, axiom, (X1!=X2|esk253_4(X3,X4,X1,X5)=esk253_4(X3,X4,X2,X5))).
% 282.28/198.93 cnf(i_0_6799, axiom, (X1!=X2|esk253_4(X3,X4,X5,X1)=esk253_4(X3,X4,X5,X2))).
% 282.28/198.94 cnf(i_0_6800, axiom, (X1!=X2|esk309_4(X1,X3,X4,X5)=esk309_4(X2,X3,X4,X5))).
% 282.28/198.94 cnf(i_0_6801, axiom, (X1!=X2|esk309_4(X3,X1,X4,X5)=esk309_4(X3,X2,X4,X5))).
% 282.28/198.94 cnf(i_0_6802, axiom, (X1!=X2|esk309_4(X3,X4,X1,X5)=esk309_4(X3,X4,X2,X5))).
% 282.28/198.94 cnf(i_0_6803, axiom, (X1!=X2|esk309_4(X3,X4,X5,X1)=esk309_4(X3,X4,X5,X2))).
% 282.28/198.94 cnf(i_0_6804, axiom, (X1!=X2|esk305_3(X1,X3,X4)=esk305_3(X2,X3,X4))).
% 282.28/198.94 cnf(i_0_6805, axiom, (X1!=X2|esk305_3(X3,X1,X4)=esk305_3(X3,X2,X4))).
% 282.28/198.94 cnf(i_0_6806, axiom, (X1!=X2|esk305_3(X3,X4,X1)=esk305_3(X3,X4,X2))).
% 282.28/198.94 cnf(i_0_6807, axiom, (X1!=X2|esk303_3(X1,X3,X4)=esk303_3(X2,X3,X4))).
% 282.28/198.94 cnf(i_0_6808, axiom, (X1!=X2|esk303_3(X3,X1,X4)=esk303_3(X3,X2,X4))).
% 282.28/198.94 cnf(i_0_6809, axiom, (X1!=X2|esk303_3(X3,X4,X1)=esk303_3(X3,X4,X2))).
% 282.28/198.94 cnf(i_0_6810, axiom, (X1!=X2|relation_composition(X1,X3)=relation_composition(X2,X3))).
% 282.28/198.94 cnf(i_0_6811, axiom, (X1!=X2|relation_composition(X3,X1)=relation_composition(X3,X2))).
% 282.28/198.94 cnf(i_0_6812, axiom, (X1!=X2|esk301_3(X1,X3,X4)=esk301_3(X2,X3,X4))).
% 282.28/198.94 cnf(i_0_6813, axiom, (X1!=X2|esk301_3(X3,X1,X4)=esk301_3(X3,X2,X4))).
% 282.28/198.94 cnf(i_0_6814, axiom, (X1!=X2|esk301_3(X3,X4,X1)=esk301_3(X3,X4,X2))).
% 282.28/198.94 cnf(i_0_6815, axiom, (X1!=X2|esk302_3(X1,X3,X4)=esk302_3(X2,X3,X4))).
% 282.28/198.94 cnf(i_0_6816, axiom, (X1!=X2|esk302_3(X3,X1,X4)=esk302_3(X3,X2,X4))).
% 282.28/198.94 cnf(i_0_6817, axiom, (X1!=X2|esk302_3(X3,X4,X1)=esk302_3(X3,X4,X2))).
% 282.28/198.94 cnf(i_0_6818, axiom, (X1!=X2|esk300_3(X1,X3,X4)=esk300_3(X2,X3,X4))).
% 282.28/198.94 cnf(i_0_6819, axiom, (X1!=X2|esk300_3(X3,X1,X4)=esk300_3(X3,X2,X4))).
% 282.28/198.94 cnf(i_0_6820, axiom, (X1!=X2|esk300_3(X3,X4,X1)=esk300_3(X3,X4,X2))).
% 282.28/198.94 cnf(i_0_6821, axiom, (X1!=X2|esk428_4(X1,X3,X4,X5)=esk428_4(X2,X3,X4,X5))).
% 282.28/198.94 cnf(i_0_6822, axiom, (X1!=X2|esk428_4(X3,X1,X4,X5)=esk428_4(X3,X2,X4,X5))).
% 282.28/198.94 cnf(i_0_6823, axiom, (X1!=X2|esk428_4(X3,X4,X1,X5)=esk428_4(X3,X4,X2,X5))).
% 282.28/198.94 cnf(i_0_6824, axiom, (X1!=X2|esk428_4(X3,X4,X5,X1)=esk428_4(X3,X4,X5,X2))).
% 282.28/198.94 cnf(i_0_6825, axiom, (X1!=X2|esk37_4(X1,X3,X4,X5)=esk37_4(X2,X3,X4,X5))).
% 282.28/198.94 cnf(i_0_6826, axiom, (X1!=X2|esk37_4(X3,X1,X4,X5)=esk37_4(X3,X2,X4,X5))).
% 282.28/198.94 cnf(i_0_6827, axiom, (X1!=X2|esk37_4(X3,X4,X1,X5)=esk37_4(X3,X4,X2,X5))).
% 282.28/198.94 cnf(i_0_6828, axiom, (X1!=X2|esk37_4(X3,X4,X5,X1)=esk37_4(X3,X4,X5,X2))).
% 282.28/198.94 cnf(i_0_6829, axiom, (X1!=X2|unordered_triple(X1,X3,X4)=unordered_triple(X2,X3,X4))).
% 282.28/198.94 cnf(i_0_6830, axiom, (X1!=X2|unordered_triple(X3,X1,X4)=unordered_triple(X3,X2,X4))).
% 282.28/198.94 cnf(i_0_6831, axiom, (X1!=X2|unordered_triple(X3,X4,X1)=unordered_triple(X3,X4,X2))).
% 282.28/198.94 cnf(i_0_6832, axiom, (X1!=X2|apply(X1,X3)=apply(X2,X3))).
% 282.28/198.94 cnf(i_0_6833, axiom, (X1!=X2|apply(X3,X1)=apply(X3,X2))).
% 282.28/198.94 cnf(i_0_6834, axiom, (X1!=X2|esk261_2(X1,X3)=esk261_2(X2,X3))).
% 282.28/198.94 cnf(i_0_6835, axiom, (X1!=X2|esk261_2(X3,X1)=esk261_2(X3,X2))).
% 282.28/198.94 cnf(i_0_6836, axiom, (X1!=X2|esk259_2(X1,X3)=esk259_2(X2,X3))).
% 282.28/198.94 cnf(i_0_6837, axiom, (X1!=X2|esk259_2(X3,X1)=esk259_2(X3,X2))).
% 282.28/198.94 cnf(i_0_6838, axiom, (X1!=X2|esk263_4(X1,X3,X4,X5)=esk263_4(X2,X3,X4,X5))).
% 282.28/198.94 cnf(i_0_6839, axiom, (X1!=X2|esk263_4(X3,X1,X4,X5)=esk263_4(X3,X2,X4,X5))).
% 282.28/198.94 cnf(i_0_6840, axiom, (X1!=X2|esk263_4(X3,X4,X1,X5)=esk263_4(X3,X4,X2,X5))).
% 282.28/198.94 cnf(i_0_6841, axiom, (X1!=X2|esk263_4(X3,X4,X5,X1)=esk263_4(X3,X4,X5,X2))).
% 282.28/198.94 cnf(i_0_6842, axiom, (X1!=X2|esk260_2(X1,X3)=esk260_2(X2,X3))).
% 282.28/198.94 cnf(i_0_6843, axiom, (X1!=X2|esk260_2(X3,X1)=esk260_2(X3,X2))).
% 282.28/198.94 cnf(i_0_6844, axiom, (X1!=X2|esk295_4(X1,X3,X4,X5)=esk295_4(X2,X3,X4,X5))).
% 282.28/198.94 cnf(i_0_6845, axiom, (X1!=X2|esk295_4(X3,X1,X4,X5)=esk295_4(X3,X2,X4,X5))).
% 282.28/198.94 cnf(i_0_6846, axiom, (X1!=X2|esk295_4(X3,X4,X1,X5)=esk295_4(X3,X4,X2,X5))).
% 282.28/198.94 cnf(i_0_6847, axiom, (X1!=X2|esk295_4(X3,X4,X5,X1)=esk295_4(X3,X4,X5,X2))).
% 282.28/198.94 cnf(i_0_6848, axiom, (X1!=X2|esk266_2(X1,X3)=esk266_2(X2,X3))).
% 282.28/198.94 cnf(i_0_6849, axiom, (X1!=X2|esk266_2(X3,X1)=esk266_2(X3,X2))).
% 282.28/198.94 cnf(i_0_6850, axiom, (X1!=X2|esk264_2(X1,X3)=esk264_2(X2,X3))).
% 282.28/198.94 cnf(i_0_6851, axiom, (X1!=X2|esk264_2(X3,X1)=esk264_2(X3,X2))).
% 282.28/198.94 cnf(i_0_6852, axiom, (X1!=X2|esk268_4(X1,X3,X4,X5)=esk268_4(X2,X3,X4,X5))).
% 282.28/198.94 cnf(i_0_6853, axiom, (X1!=X2|esk268_4(X3,X1,X4,X5)=esk268_4(X3,X2,X4,X5))).
% 282.28/198.94 cnf(i_0_6854, axiom, (X1!=X2|esk268_4(X3,X4,X1,X5)=esk268_4(X3,X4,X2,X5))).
% 282.28/198.94 cnf(i_0_6855, axiom, (X1!=X2|esk268_4(X3,X4,X5,X1)=esk268_4(X3,X4,X5,X2))).
% 282.28/198.94 cnf(i_0_6856, axiom, (X1!=X2|esk265_2(X1,X3)=esk265_2(X2,X3))).
% 282.28/198.94 cnf(i_0_6857, axiom, (X1!=X2|esk265_2(X3,X1)=esk265_2(X3,X2))).
% 282.28/198.94 cnf(i_0_6858, axiom, (X1!=X2|esk371_4(X1,X3,X4,X5)=esk371_4(X2,X3,X4,X5))).
% 282.28/198.94 cnf(i_0_6859, axiom, (X1!=X2|esk371_4(X3,X1,X4,X5)=esk371_4(X3,X2,X4,X5))).
% 282.28/198.94 cnf(i_0_6860, axiom, (X1!=X2|esk371_4(X3,X4,X1,X5)=esk371_4(X3,X4,X2,X5))).
% 282.28/198.94 cnf(i_0_6861, axiom, (X1!=X2|esk371_4(X3,X4,X5,X1)=esk371_4(X3,X4,X5,X2))).
% 282.28/198.94 cnf(i_0_6862, axiom, (X1!=X2|esk359_2(X1,X3)=esk359_2(X2,X3))).
% 282.28/198.94 cnf(i_0_6863, axiom, (X1!=X2|esk359_2(X3,X1)=esk359_2(X3,X2))).
% 282.28/198.94 cnf(i_0_6864, axiom, (X1!=X2|esk362_4(X1,X3,X4,X5)=esk362_4(X2,X3,X4,X5))).
% 282.28/198.94 cnf(i_0_6865, axiom, (X1!=X2|esk362_4(X3,X1,X4,X5)=esk362_4(X3,X2,X4,X5))).
% 282.28/198.94 cnf(i_0_6866, axiom, (X1!=X2|esk362_4(X3,X4,X1,X5)=esk362_4(X3,X4,X2,X5))).
% 282.28/198.94 cnf(i_0_6867, axiom, (X1!=X2|esk362_4(X3,X4,X5,X1)=esk362_4(X3,X4,X5,X2))).
% 282.28/198.94 cnf(i_0_6868, axiom, (X1!=X2|esk357_2(X1,X3)=esk357_2(X2,X3))).
% 282.28/198.94 cnf(i_0_6869, axiom, (X1!=X2|esk357_2(X3,X1)=esk357_2(X3,X2))).
% 282.28/198.94 cnf(i_0_6870, axiom, (X1!=X2|esk358_2(X1,X3)=esk358_2(X2,X3))).
% 282.28/198.94 cnf(i_0_6871, axiom, (X1!=X2|esk358_2(X3,X1)=esk358_2(X3,X2))).
% 282.28/198.94 cnf(i_0_6872, axiom, (X1!=X2|esk85_3(X1,X3,X4)=esk85_3(X2,X3,X4))).
% 282.28/198.94 cnf(i_0_6873, axiom, (X1!=X2|esk85_3(X3,X1,X4)=esk85_3(X3,X2,X4))).
% 282.28/198.94 cnf(i_0_6874, axiom, (X1!=X2|esk85_3(X3,X4,X1)=esk85_3(X3,X4,X2))).
% 282.28/198.94 cnf(i_0_6875, axiom, (X1!=X2|unordered_pair(X1,X3)=unordered_pair(X2,X3))).
% 282.28/198.94 cnf(i_0_6876, axiom, (X1!=X2|unordered_pair(X3,X1)=unordered_pair(X3,X2))).
% 282.28/198.94 cnf(i_0_6877, axiom, (X1!=X2|esk389_4(X1,X3,X4,X5)=esk389_4(X2,X3,X4,X5))).
% 282.28/198.94 cnf(i_0_6878, axiom, (X1!=X2|esk389_4(X3,X1,X4,X5)=esk389_4(X3,X2,X4,X5))).
% 282.28/198.94 cnf(i_0_6879, axiom, (X1!=X2|esk389_4(X3,X4,X1,X5)=esk389_4(X3,X4,X2,X5))).
% 282.28/198.94 cnf(i_0_6880, axiom, (X1!=X2|esk389_4(X3,X4,X5,X1)=esk389_4(X3,X4,X5,X2))).
% 282.28/198.94 cnf(i_0_6881, axiom, (X1!=X2|esk322_1(X1)=esk322_1(X2))).
% 282.28/198.94 cnf(i_0_6882, axiom, (X1!=X2|esk318_1(X1)=esk318_1(X2))).
% 282.28/198.94 cnf(i_0_6883, axiom, (X1!=X2|esk326_3(X1,X3,X4)=esk326_3(X2,X3,X4))).
% 282.28/198.94 cnf(i_0_6884, axiom, (X1!=X2|esk326_3(X3,X1,X4)=esk326_3(X3,X2,X4))).
% 282.28/198.94 cnf(i_0_6885, axiom, (X1!=X2|esk326_3(X3,X4,X1)=esk326_3(X3,X4,X2))).
% 282.28/198.94 cnf(i_0_6886, axiom, (X1!=X2|esk320_1(X1)=esk320_1(X2))).
% 282.28/198.94 cnf(i_0_6887, axiom, (X1!=X2|esk317_1(X1)=esk317_1(X2))).
% 282.28/198.94 cnf(i_0_6888, axiom, (X1!=X2|esk308_4(X1,X3,X4,X5)=esk308_4(X2,X3,X4,X5))).
% 282.28/198.94 cnf(i_0_6889, axiom, (X1!=X2|esk308_4(X3,X1,X4,X5)=esk308_4(X3,X2,X4,X5))).
% 282.28/198.94 cnf(i_0_6890, axiom, (X1!=X2|esk308_4(X3,X4,X1,X5)=esk308_4(X3,X4,X2,X5))).
% 282.28/198.94 cnf(i_0_6891, axiom, (X1!=X2|esk308_4(X3,X4,X5,X1)=esk308_4(X3,X4,X5,X2))).
% 282.28/198.94 cnf(i_0_6892, axiom, (X1!=X2|net_str_of(X1,X3,X4,X5)=net_str_of(X2,X3,X4,X5))).
% 282.28/198.94 cnf(i_0_6893, axiom, (X1!=X2|net_str_of(X3,X1,X4,X5)=net_str_of(X3,X2,X4,X5))).
% 282.28/198.94 cnf(i_0_6894, axiom, (X1!=X2|net_str_of(X3,X4,X1,X5)=net_str_of(X3,X4,X2,X5))).
% 282.28/198.94 cnf(i_0_6895, axiom, (X1!=X2|net_str_of(X3,X4,X5,X1)=net_str_of(X3,X4,X5,X2))).
% 282.28/198.94 cnf(i_0_6896, axiom, (X1!=X2|esk377_2(X1,X3)=esk377_2(X2,X3))).
% 282.28/198.94 cnf(i_0_6897, axiom, (X1!=X2|esk377_2(X3,X1)=esk377_2(X3,X2))).
% 282.28/198.94 cnf(i_0_6898, axiom, (X1!=X2|esk380_4(X1,X3,X4,X5)=esk380_4(X2,X3,X4,X5))).
% 282.28/198.94 cnf(i_0_6899, axiom, (X1!=X2|esk380_4(X3,X1,X4,X5)=esk380_4(X3,X2,X4,X5))).
% 282.28/198.94 cnf(i_0_6900, axiom, (X1!=X2|esk380_4(X3,X4,X1,X5)=esk380_4(X3,X4,X2,X5))).
% 282.28/198.94 cnf(i_0_6901, axiom, (X1!=X2|esk380_4(X3,X4,X5,X1)=esk380_4(X3,X4,X5,X2))).
% 282.28/198.94 cnf(i_0_6902, axiom, (X1!=X2|esk375_2(X1,X3)=esk375_2(X2,X3))).
% 282.28/198.94 cnf(i_0_6903, axiom, (X1!=X2|esk375_2(X3,X1)=esk375_2(X3,X2))).
% 282.28/198.94 cnf(i_0_6904, axiom, (X1!=X2|esk376_2(X1,X3)=esk376_2(X2,X3))).
% 282.28/198.95 cnf(i_0_6905, axiom, (X1!=X2|esk376_2(X3,X1)=esk376_2(X3,X2))).
% 282.28/198.95 cnf(i_0_6906, axiom, (X1!=X2|esk329_1(X1)=esk329_1(X2))).
% 282.28/198.95 cnf(i_0_6907, axiom, (X1!=X2|esk328_1(X1)=esk328_1(X2))).
% 282.28/198.95 cnf(i_0_6908, axiom, (X1!=X2|esk335_4(X1,X3,X4,X5)=esk335_4(X2,X3,X4,X5))).
% 282.28/198.95 cnf(i_0_6909, axiom, (X1!=X2|esk335_4(X3,X1,X4,X5)=esk335_4(X3,X2,X4,X5))).
% 282.28/198.95 cnf(i_0_6910, axiom, (X1!=X2|esk335_4(X3,X4,X1,X5)=esk335_4(X3,X4,X2,X5))).
% 282.28/198.95 cnf(i_0_6911, axiom, (X1!=X2|esk335_4(X3,X4,X5,X1)=esk335_4(X3,X4,X5,X2))).
% 282.28/198.95 cnf(i_0_6912, axiom, (X1!=X2|esk334_3(X1,X3,X4)=esk334_3(X2,X3,X4))).
% 282.28/198.95 cnf(i_0_6913, axiom, (X1!=X2|esk334_3(X3,X1,X4)=esk334_3(X3,X2,X4))).
% 282.28/198.95 cnf(i_0_6914, axiom, (X1!=X2|esk334_3(X3,X4,X1)=esk334_3(X3,X4,X2))).
% 282.28/198.95 cnf(i_0_6915, axiom, (X1!=X2|lim_points_of_net(X1,X3)=lim_points_of_net(X2,X3))).
% 282.28/198.95 cnf(i_0_6916, axiom, (X1!=X2|lim_points_of_net(X3,X1)=lim_points_of_net(X3,X2))).
% 282.28/198.95 cnf(i_0_6917, axiom, (X1!=X2|esk413_4(X1,X3,X4,X5)=esk413_4(X2,X3,X4,X5))).
% 282.28/198.95 cnf(i_0_6918, axiom, (X1!=X2|esk413_4(X3,X1,X4,X5)=esk413_4(X3,X2,X4,X5))).
% 282.28/198.95 cnf(i_0_6919, axiom, (X1!=X2|esk413_4(X3,X4,X1,X5)=esk413_4(X3,X4,X2,X5))).
% 282.28/198.95 cnf(i_0_6920, axiom, (X1!=X2|esk413_4(X3,X4,X5,X1)=esk413_4(X3,X4,X5,X2))).
% 282.28/198.95 cnf(i_0_6921, axiom, (X1!=X2|esk411_3(X1,X3,X4)=esk411_3(X2,X3,X4))).
% 282.28/198.95 cnf(i_0_6922, axiom, (X1!=X2|esk411_3(X3,X1,X4)=esk411_3(X3,X2,X4))).
% 282.28/198.95 cnf(i_0_6923, axiom, (X1!=X2|esk411_3(X3,X4,X1)=esk411_3(X3,X4,X2))).
% 282.28/198.95 cnf(i_0_6924, axiom, (X1!=X2|esk410_3(X1,X3,X4)=esk410_3(X2,X3,X4))).
% 282.28/198.95 cnf(i_0_6925, axiom, (X1!=X2|esk410_3(X3,X1,X4)=esk410_3(X3,X2,X4))).
% 282.28/198.95 cnf(i_0_6926, axiom, (X1!=X2|esk410_3(X3,X4,X1)=esk410_3(X3,X4,X2))).
% 282.28/198.95 cnf(i_0_6927, axiom, (X1!=X2|incl_POSet(X1)=incl_POSet(X2))).
% 282.28/198.95 cnf(i_0_6928, axiom, (X1!=X2|identity_relation(X1)=identity_relation(X2))).
% 282.28/198.95 cnf(i_0_6929, axiom, (X1!=X2|esk2_2(X1,X3)=esk2_2(X2,X3))).
% 282.28/198.95 cnf(i_0_6930, axiom, (X1!=X2|esk2_2(X3,X1)=esk2_2(X3,X2))).
% 282.28/198.95 cnf(i_0_6931, axiom, (X1!=X2|esk1_2(X1,X3)=esk1_2(X2,X3))).
% 282.28/198.95 cnf(i_0_6932, axiom, (X1!=X2|esk1_2(X3,X1)=esk1_2(X3,X2))).
% 282.28/198.95 cnf(i_0_6933, axiom, (X1!=X2|esk316_1(X1)=esk316_1(X2))).
% 282.28/198.95 cnf(i_0_6934, axiom, (X1!=X2|esk437_4(X1,X3,X4,X5)=esk437_4(X2,X3,X4,X5))).
% 282.28/198.95 cnf(i_0_6935, axiom, (X1!=X2|esk437_4(X3,X1,X4,X5)=esk437_4(X3,X2,X4,X5))).
% 282.28/198.95 cnf(i_0_6936, axiom, (X1!=X2|esk437_4(X3,X4,X1,X5)=esk437_4(X3,X4,X2,X5))).
% 282.28/198.95 cnf(i_0_6937, axiom, (X1!=X2|esk437_4(X3,X4,X5,X1)=esk437_4(X3,X4,X5,X2))).
% 282.28/198.95 cnf(i_0_6938, axiom, (X1!=X2|esk436_3(X1,X3,X4)=esk436_3(X2,X3,X4))).
% 282.28/198.95 cnf(i_0_6939, axiom, (X1!=X2|esk436_3(X3,X1,X4)=esk436_3(X3,X2,X4))).
% 282.28/198.95 cnf(i_0_6940, axiom, (X1!=X2|esk436_3(X3,X4,X1)=esk436_3(X3,X4,X2))).
% 282.28/198.95 cnf(i_0_6941, axiom, (X1!=X2|esk432_3(X1,X3,X4)=esk432_3(X2,X3,X4))).
% 282.28/198.95 cnf(i_0_6942, axiom, (X1!=X2|esk432_3(X3,X1,X4)=esk432_3(X3,X2,X4))).
% 282.28/198.95 cnf(i_0_6943, axiom, (X1!=X2|esk432_3(X3,X4,X1)=esk432_3(X3,X4,X2))).
% 282.28/198.95 cnf(i_0_6944, axiom, (X1!=X2|ordered_pair_as_product_element(X1,X3,X4,X5)=ordered_pair_as_product_element(X2,X3,X4,X5))).
% 282.28/198.95 cnf(i_0_6945, axiom, (X1!=X2|ordered_pair_as_product_element(X3,X1,X4,X5)=ordered_pair_as_product_element(X3,X2,X4,X5))).
% 282.28/198.95 cnf(i_0_6946, axiom, (X1!=X2|ordered_pair_as_product_element(X3,X4,X1,X5)=ordered_pair_as_product_element(X3,X4,X2,X5))).
% 282.28/198.95 cnf(i_0_6947, axiom, (X1!=X2|ordered_pair_as_product_element(X3,X4,X5,X1)=ordered_pair_as_product_element(X3,X4,X5,X2))).
% 282.28/198.95 cnf(i_0_6948, axiom, (X1!=X2|relation_of_lattice(X1)=relation_of_lattice(X2))).
% 282.28/198.95 cnf(i_0_6949, axiom, (X1!=X2|esk283_3(X1,X3,X4)=esk283_3(X2,X3,X4))).
% 282.28/198.95 cnf(i_0_6950, axiom, (X1!=X2|esk283_3(X3,X1,X4)=esk283_3(X3,X2,X4))).
% 282.28/198.95 cnf(i_0_6951, axiom, (X1!=X2|esk283_3(X3,X4,X1)=esk283_3(X3,X4,X2))).
% 282.28/198.95 cnf(i_0_6952, axiom, (X1!=X2|esk120_2(X1,X3)=esk120_2(X2,X3))).
% 282.28/198.95 cnf(i_0_6953, axiom, (X1!=X2|esk120_2(X3,X1)=esk120_2(X3,X2))).
% 282.28/198.95 cnf(i_0_6954, axiom, (X1!=X2|esk119_2(X1,X3)=esk119_2(X2,X3))).
% 282.28/198.95 cnf(i_0_6955, axiom, (X1!=X2|esk119_2(X3,X1)=esk119_2(X3,X2))).
% 282.28/198.95 cnf(i_0_6956, axiom, (X1!=X2|esk409_3(X1,X3,X4)=esk409_3(X2,X3,X4))).
% 282.28/198.95 cnf(i_0_6957, axiom, (X1!=X2|esk409_3(X3,X1,X4)=esk409_3(X3,X2,X4))).
% 282.28/198.95 cnf(i_0_6958, axiom, (X1!=X2|esk409_3(X3,X4,X1)=esk409_3(X3,X4,X2))).
% 282.28/198.95 cnf(i_0_6959, axiom, (X1!=X2|set_difference(X1,X3)=set_difference(X2,X3))).
% 282.28/198.95 cnf(i_0_6960, axiom, (X1!=X2|set_difference(X3,X1)=set_difference(X3,X2))).
% 282.28/198.95 cnf(i_0_6961, axiom, (X1!=X2|esk351_2(X1,X3)=esk351_2(X2,X3))).
% 282.28/198.95 cnf(i_0_6962, axiom, (X1!=X2|esk351_2(X3,X1)=esk351_2(X3,X2))).
% 282.28/198.95 cnf(i_0_6963, axiom, (X1!=X2|esk368_2(X1,X3)=esk368_2(X2,X3))).
% 282.28/198.95 cnf(i_0_6964, axiom, (X1!=X2|esk368_2(X3,X1)=esk368_2(X3,X2))).
% 282.28/198.95 cnf(i_0_6965, axiom, (X1!=X2|esk350_2(X1,X3)=esk350_2(X2,X3))).
% 282.28/198.95 cnf(i_0_6966, axiom, (X1!=X2|esk350_2(X3,X1)=esk350_2(X3,X2))).
% 282.28/198.95 cnf(i_0_6967, axiom, (X1!=X2|esk355_3(X1,X3,X4)=esk355_3(X2,X3,X4))).
% 282.28/198.95 cnf(i_0_6968, axiom, (X1!=X2|esk355_3(X3,X1,X4)=esk355_3(X3,X2,X4))).
% 282.28/198.95 cnf(i_0_6969, axiom, (X1!=X2|esk355_3(X3,X4,X1)=esk355_3(X3,X4,X2))).
% 282.28/198.95 cnf(i_0_6970, axiom, (X1!=X2|esk170_4(X1,X3,X4,X5)=esk170_4(X2,X3,X4,X5))).
% 282.28/198.95 cnf(i_0_6971, axiom, (X1!=X2|esk170_4(X3,X1,X4,X5)=esk170_4(X3,X2,X4,X5))).
% 282.28/198.95 cnf(i_0_6972, axiom, (X1!=X2|esk170_4(X3,X4,X1,X5)=esk170_4(X3,X4,X2,X5))).
% 282.28/198.95 cnf(i_0_6973, axiom, (X1!=X2|esk170_4(X3,X4,X5,X1)=esk170_4(X3,X4,X5,X2))).
% 282.28/198.95 cnf(i_0_6974, axiom, (X1!=X2|a_3_0_waybel_9(X1,X3,X4)=a_3_0_waybel_9(X2,X3,X4))).
% 282.28/198.95 cnf(i_0_6975, axiom, (X1!=X2|a_3_0_waybel_9(X3,X1,X4)=a_3_0_waybel_9(X3,X2,X4))).
% 282.28/198.95 cnf(i_0_6976, axiom, (X1!=X2|a_3_0_waybel_9(X3,X4,X1)=a_3_0_waybel_9(X3,X4,X2))).
% 282.28/198.95 cnf(i_0_6977, axiom, (X1!=X2|esk349_2(X1,X3)=esk349_2(X2,X3))).
% 282.28/198.95 cnf(i_0_6978, axiom, (X1!=X2|esk349_2(X3,X1)=esk349_2(X3,X2))).
% 282.28/198.95 cnf(i_0_6979, axiom, (X1!=X2|apply_on_structs(X1,X3,X4,X5)=apply_on_structs(X2,X3,X4,X5))).
% 282.28/198.95 cnf(i_0_6980, axiom, (X1!=X2|apply_on_structs(X3,X1,X4,X5)=apply_on_structs(X3,X2,X4,X5))).
% 282.28/198.95 cnf(i_0_6981, axiom, (X1!=X2|apply_on_structs(X3,X4,X1,X5)=apply_on_structs(X3,X4,X2,X5))).
% 282.28/198.95 cnf(i_0_6982, axiom, (X1!=X2|apply_on_structs(X3,X4,X5,X1)=apply_on_structs(X3,X4,X5,X2))).
% 282.28/198.95 cnf(i_0_6983, axiom, (X1!=X2|esk369_2(X1,X3)=esk369_2(X2,X3))).
% 282.28/198.95 cnf(i_0_6984, axiom, (X1!=X2|esk369_2(X3,X1)=esk369_2(X3,X2))).
% 282.28/198.95 cnf(i_0_6985, axiom, (X1!=X2|function_invverse_img_as_carrier_subset(X1,X3,X4,X5)=function_invverse_img_as_carrier_subset(X2,X3,X4,X5))).
% 282.28/198.95 cnf(i_0_6986, axiom, (X1!=X2|function_invverse_img_as_carrier_subset(X3,X1,X4,X5)=function_invverse_img_as_carrier_subset(X3,X2,X4,X5))).
% 282.28/198.95 cnf(i_0_6987, axiom, (X1!=X2|function_invverse_img_as_carrier_subset(X3,X4,X1,X5)=function_invverse_img_as_carrier_subset(X3,X4,X2,X5))).
% 282.28/198.95 cnf(i_0_6988, axiom, (X1!=X2|function_invverse_img_as_carrier_subset(X3,X4,X5,X1)=function_invverse_img_as_carrier_subset(X3,X4,X5,X2))).
% 282.28/198.95 cnf(i_0_6989, axiom, (X1!=X2|apply_on_set_and_struct2(X1,X3,X4,X5)=apply_on_set_and_struct2(X2,X3,X4,X5))).
% 282.28/198.95 cnf(i_0_6990, axiom, (X1!=X2|apply_on_set_and_struct2(X3,X1,X4,X5)=apply_on_set_and_struct2(X3,X2,X4,X5))).
% 282.28/198.95 cnf(i_0_6991, axiom, (X1!=X2|apply_on_set_and_struct2(X3,X4,X1,X5)=apply_on_set_and_struct2(X3,X4,X2,X5))).
% 282.28/198.95 cnf(i_0_6992, axiom, (X1!=X2|apply_on_set_and_struct2(X3,X4,X5,X1)=apply_on_set_and_struct2(X3,X4,X5,X2))).
% 282.28/198.95 cnf(i_0_6993, axiom, (X1!=X2|boole_lattice(X1)=boole_lattice(X2))).
% 282.28/198.95 cnf(i_0_6994, axiom, (X1!=X2|subset_union2(X1,X3,X4)=subset_union2(X2,X3,X4))).
% 282.28/198.95 cnf(i_0_6995, axiom, (X1!=X2|subset_union2(X3,X1,X4)=subset_union2(X3,X2,X4))).
% 282.28/198.95 cnf(i_0_6996, axiom, (X1!=X2|subset_union2(X3,X4,X1)=subset_union2(X3,X4,X2))).
% 282.28/198.95 cnf(i_0_6997, axiom, (X1!=X2|subset_intersection2(X1,X3,X4)=subset_intersection2(X2,X3,X4))).
% 282.28/198.95 cnf(i_0_6998, axiom, (X1!=X2|subset_intersection2(X3,X1,X4)=subset_intersection2(X3,X2,X4))).
% 282.28/198.95 cnf(i_0_6999, axiom, (X1!=X2|subset_intersection2(X3,X4,X1)=subset_intersection2(X3,X4,X2))).
% 282.28/198.95 cnf(i_0_7000, axiom, (X1!=X2|esk365_2(X1,X3)=esk365_2(X2,X3))).
% 282.28/198.95 cnf(i_0_7001, axiom, (X1!=X2|esk365_2(X3,X1)=esk365_2(X3,X2))).
% 282.28/198.95 cnf(i_0_7002, axiom, (X1!=X2|esk282_3(X1,X3,X4)=esk282_3(X2,X3,X4))).
% 282.28/198.95 cnf(i_0_7003, axiom, (X1!=X2|esk282_3(X3,X1,X4)=esk282_3(X3,X2,X4))).
% 282.28/198.95 cnf(i_0_7004, axiom, (X1!=X2|esk282_3(X3,X4,X1)=esk282_3(X3,X4,X2))).
% 282.28/198.95 cnf(i_0_7005, axiom, (X1!=X2|apply_as_element(X1,X3,X4,X5)=apply_as_element(X2,X3,X4,X5))).
% 282.28/198.95 cnf(i_0_7006, axiom, (X1!=X2|apply_as_element(X3,X1,X4,X5)=apply_as_element(X3,X2,X4,X5))).
% 282.28/198.95 cnf(i_0_7007, axiom, (X1!=X2|apply_as_element(X3,X4,X1,X5)=apply_as_element(X3,X4,X2,X5))).
% 282.28/198.95 cnf(i_0_7008, axiom, (X1!=X2|apply_as_element(X3,X4,X5,X1)=apply_as_element(X3,X4,X5,X2))).
% 282.28/198.95 cnf(i_0_7009, axiom, (X1!=X2|topstr_closure(X1,X3)=topstr_closure(X2,X3))).
% 282.28/198.96 cnf(i_0_7010, axiom, (X1!=X2|topstr_closure(X3,X1)=topstr_closure(X3,X2))).
% 282.28/198.96 cnf(i_0_7011, axiom, (X1!=X2|latt_str_of(X1,X3,X4)=latt_str_of(X2,X3,X4))).
% 282.28/198.96 cnf(i_0_7012, axiom, (X1!=X2|latt_str_of(X3,X1,X4)=latt_str_of(X3,X2,X4))).
% 282.28/198.96 cnf(i_0_7013, axiom, (X1!=X2|latt_str_of(X3,X4,X1)=latt_str_of(X3,X4,X2))).
% 282.28/198.96 cnf(i_0_7014, axiom, (X1!=X2|preimage_subnetstr(X1,X3,X4)=preimage_subnetstr(X2,X3,X4))).
% 282.28/198.96 cnf(i_0_7015, axiom, (X1!=X2|preimage_subnetstr(X3,X1,X4)=preimage_subnetstr(X3,X2,X4))).
% 282.28/198.96 cnf(i_0_7016, axiom, (X1!=X2|preimage_subnetstr(X3,X4,X1)=preimage_subnetstr(X3,X4,X2))).
% 282.28/198.96 cnf(i_0_7017, axiom, (X1!=X2|esk131_3(X1,X3,X4)=esk131_3(X2,X3,X4))).
% 282.28/198.96 cnf(i_0_7018, axiom, (X1!=X2|esk131_3(X3,X1,X4)=esk131_3(X3,X2,X4))).
% 282.28/198.96 cnf(i_0_7019, axiom, (X1!=X2|esk131_3(X3,X4,X1)=esk131_3(X3,X4,X2))).
% 282.28/198.96 cnf(i_0_7020, axiom, (X1!=X2|esk148_3(X1,X3,X4)=esk148_3(X2,X3,X4))).
% 282.28/198.96 cnf(i_0_7021, axiom, (X1!=X2|esk148_3(X3,X1,X4)=esk148_3(X3,X2,X4))).
% 282.28/198.96 cnf(i_0_7022, axiom, (X1!=X2|esk148_3(X3,X4,X1)=esk148_3(X3,X4,X2))).
% 282.28/198.96 cnf(i_0_7023, axiom, (X1!=X2|k10_filter_1(X1,X3,X4,X5)=k10_filter_1(X2,X3,X4,X5))).
% 282.28/198.96 cnf(i_0_7024, axiom, (X1!=X2|k10_filter_1(X3,X1,X4,X5)=k10_filter_1(X3,X2,X4,X5))).
% 282.28/198.96 cnf(i_0_7025, axiom, (X1!=X2|k10_filter_1(X3,X4,X1,X5)=k10_filter_1(X3,X4,X2,X5))).
% 282.28/198.96 cnf(i_0_7026, axiom, (X1!=X2|k10_filter_1(X3,X4,X5,X1)=k10_filter_1(X3,X4,X5,X2))).
% 282.28/198.96 cnf(i_0_7027, axiom, (X1!=X2|esk333_3(X1,X3,X4)=esk333_3(X2,X3,X4))).
% 282.28/198.96 cnf(i_0_7028, axiom, (X1!=X2|esk333_3(X3,X1,X4)=esk333_3(X3,X2,X4))).
% 282.28/198.96 cnf(i_0_7029, axiom, (X1!=X2|esk333_3(X3,X4,X1)=esk333_3(X3,X4,X2))).
% 282.28/198.96 cnf(i_0_7030, axiom, (X1!=X2|esk332_2(X1,X3)=esk332_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7031, axiom, (X1!=X2|esk332_2(X3,X1)=esk332_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7032, axiom, (X1!=X2|relation_dom_restr_as_relation_of(X1,X3,X4,X5)=relation_dom_restr_as_relation_of(X2,X3,X4,X5))).
% 282.28/198.96 cnf(i_0_7033, axiom, (X1!=X2|relation_dom_restr_as_relation_of(X3,X1,X4,X5)=relation_dom_restr_as_relation_of(X3,X2,X4,X5))).
% 282.28/198.96 cnf(i_0_7034, axiom, (X1!=X2|relation_dom_restr_as_relation_of(X3,X4,X1,X5)=relation_dom_restr_as_relation_of(X3,X4,X2,X5))).
% 282.28/198.96 cnf(i_0_7035, axiom, (X1!=X2|relation_dom_restr_as_relation_of(X3,X4,X5,X1)=relation_dom_restr_as_relation_of(X3,X4,X5,X2))).
% 282.28/198.96 cnf(i_0_7036, axiom, (X1!=X2|subset_complement(X1,X3)=subset_complement(X2,X3))).
% 282.28/198.96 cnf(i_0_7037, axiom, (X1!=X2|subset_complement(X3,X1)=subset_complement(X3,X2))).
% 282.28/198.96 cnf(i_0_7038, axiom, (X1!=X2|esk478_2(X1,X3)=esk478_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7039, axiom, (X1!=X2|esk478_2(X3,X1)=esk478_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7040, axiom, (X1!=X2|esk480_3(X1,X3,X4)=esk480_3(X2,X3,X4))).
% 282.28/198.96 cnf(i_0_7041, axiom, (X1!=X2|esk480_3(X3,X1,X4)=esk480_3(X3,X2,X4))).
% 282.28/198.96 cnf(i_0_7042, axiom, (X1!=X2|esk480_3(X3,X4,X1)=esk480_3(X3,X4,X2))).
% 282.28/198.96 cnf(i_0_7043, axiom, (X1!=X2|esk476_2(X1,X3)=esk476_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7044, axiom, (X1!=X2|esk476_2(X3,X1)=esk476_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7045, axiom, (X1!=X2|esk477_2(X1,X3)=esk477_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7046, axiom, (X1!=X2|esk477_2(X3,X1)=esk477_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7047, axiom, (X1!=X2|a_1_0_filter_1(X1)=a_1_0_filter_1(X2))).
% 282.28/198.96 cnf(i_0_7048, axiom, (X1!=X2|the_carrier(X1)=the_carrier(X2))).
% 282.28/198.96 cnf(i_0_7049, axiom, (X1!=X2|esk435_3(X1,X3,X4)=esk435_3(X2,X3,X4))).
% 282.28/198.96 cnf(i_0_7050, axiom, (X1!=X2|esk435_3(X3,X1,X4)=esk435_3(X3,X2,X4))).
% 282.28/198.96 cnf(i_0_7051, axiom, (X1!=X2|esk435_3(X3,X4,X1)=esk435_3(X3,X4,X2))).
% 282.28/198.96 cnf(i_0_7052, axiom, (X1!=X2|esk434_2(X1,X3)=esk434_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7053, axiom, (X1!=X2|esk434_2(X3,X1)=esk434_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7054, axiom, (X1!=X2|esk102_2(X1,X3)=esk102_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7055, axiom, (X1!=X2|esk102_2(X3,X1)=esk102_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7056, axiom, (X1!=X2|esk101_2(X1,X3)=esk101_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7057, axiom, (X1!=X2|esk101_2(X3,X1)=esk101_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7058, axiom, (X1!=X2|esk484_2(X1,X3)=esk484_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7059, axiom, (X1!=X2|esk484_2(X3,X1)=esk484_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7060, axiom, (X1!=X2|esk374_6(X1,X3,X4,X5,X6,X7)=esk374_6(X2,X3,X4,X5,X6,X7))).
% 282.28/198.96 cnf(i_0_7061, axiom, (X1!=X2|esk374_6(X3,X1,X4,X5,X6,X7)=esk374_6(X3,X2,X4,X5,X6,X7))).
% 282.28/198.96 cnf(i_0_7062, axiom, (X1!=X2|esk374_6(X3,X4,X1,X5,X6,X7)=esk374_6(X3,X4,X2,X5,X6,X7))).
% 282.28/198.96 cnf(i_0_7063, axiom, (X1!=X2|esk374_6(X3,X4,X5,X1,X6,X7)=esk374_6(X3,X4,X5,X2,X6,X7))).
% 282.28/198.96 cnf(i_0_7064, axiom, (X1!=X2|esk374_6(X3,X4,X5,X6,X1,X7)=esk374_6(X3,X4,X5,X6,X2,X7))).
% 282.28/198.96 cnf(i_0_7065, axiom, (X1!=X2|esk374_6(X3,X4,X5,X6,X7,X1)=esk374_6(X3,X4,X5,X6,X7,X2))).
% 282.28/198.96 cnf(i_0_7066, axiom, (X1!=X2|esk486_3(X1,X3,X4)=esk486_3(X2,X3,X4))).
% 282.28/198.96 cnf(i_0_7067, axiom, (X1!=X2|esk486_3(X3,X1,X4)=esk486_3(X3,X2,X4))).
% 282.28/198.96 cnf(i_0_7068, axiom, (X1!=X2|esk486_3(X3,X4,X1)=esk486_3(X3,X4,X2))).
% 282.28/198.96 cnf(i_0_7069, axiom, (X1!=X2|esk482_2(X1,X3)=esk482_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7070, axiom, (X1!=X2|esk482_2(X3,X1)=esk482_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7071, axiom, (X1!=X2|esk483_2(X1,X3)=esk483_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7072, axiom, (X1!=X2|esk483_2(X3,X1)=esk483_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7073, axiom, (X1!=X2|esk479_2(X1,X3)=esk479_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7074, axiom, (X1!=X2|esk479_2(X3,X1)=esk479_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7075, axiom, (X1!=X2|esk379_3(X1,X3,X4)=esk379_3(X2,X3,X4))).
% 282.28/198.96 cnf(i_0_7076, axiom, (X1!=X2|esk379_3(X3,X1,X4)=esk379_3(X3,X2,X4))).
% 282.28/198.96 cnf(i_0_7077, axiom, (X1!=X2|esk379_3(X3,X4,X1)=esk379_3(X3,X4,X2))).
% 282.28/198.96 cnf(i_0_7078, axiom, (X1!=X2|complements_of_subsets(X1,X3)=complements_of_subsets(X2,X3))).
% 282.28/198.96 cnf(i_0_7079, axiom, (X1!=X2|complements_of_subsets(X3,X1)=complements_of_subsets(X3,X2))).
% 282.28/198.96 cnf(i_0_7080, axiom, (X1!=X2|esk361_3(X1,X3,X4)=esk361_3(X2,X3,X4))).
% 282.28/198.96 cnf(i_0_7081, axiom, (X1!=X2|esk361_3(X3,X1,X4)=esk361_3(X3,X2,X4))).
% 282.28/198.96 cnf(i_0_7082, axiom, (X1!=X2|esk361_3(X3,X4,X1)=esk361_3(X3,X4,X2))).
% 282.28/198.96 cnf(i_0_7083, axiom, (X1!=X2|union_of_subsets(X1,X3)=union_of_subsets(X2,X3))).
% 282.28/198.96 cnf(i_0_7084, axiom, (X1!=X2|union_of_subsets(X3,X1)=union_of_subsets(X3,X2))).
% 282.28/198.96 cnf(i_0_7085, axiom, (X1!=X2|esk145_2(X1,X3)=esk145_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7086, axiom, (X1!=X2|esk145_2(X3,X1)=esk145_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7087, axiom, (X1!=X2|meet_on_relstr(X1,X3)=meet_on_relstr(X2,X3))).
% 282.28/198.96 cnf(i_0_7088, axiom, (X1!=X2|meet_on_relstr(X3,X1)=meet_on_relstr(X3,X2))).
% 282.28/198.96 cnf(i_0_7089, axiom, (X1!=X2|powerset(X1)=powerset(X2))).
% 282.28/198.96 cnf(i_0_7090, axiom, (X1!=X2|esk128_2(X1,X3)=esk128_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7091, axiom, (X1!=X2|esk128_2(X3,X1)=esk128_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7092, axiom, (X1!=X2|join_on_relstr(X1,X3)=join_on_relstr(X2,X3))).
% 282.28/198.96 cnf(i_0_7093, axiom, (X1!=X2|join_on_relstr(X3,X1)=join_on_relstr(X3,X2))).
% 282.28/198.96 cnf(i_0_7094, axiom, (X1!=X2|meet_of_latt_set(X1,X3)=meet_of_latt_set(X2,X3))).
% 282.28/198.96 cnf(i_0_7095, axiom, (X1!=X2|meet_of_latt_set(X3,X1)=meet_of_latt_set(X3,X2))).
% 282.28/198.96 cnf(i_0_7096, axiom, (X1!=X2|join_of_latt_set(X1,X3)=join_of_latt_set(X2,X3))).
% 282.28/198.96 cnf(i_0_7097, axiom, (X1!=X2|join_of_latt_set(X3,X1)=join_of_latt_set(X3,X2))).
% 282.28/198.96 cnf(i_0_7098, axiom, (X1!=X2|esk485_2(X1,X3)=esk485_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7099, axiom, (X1!=X2|esk485_2(X3,X1)=esk485_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7100, axiom, (X1!=X2|esk348_3(X1,X3,X4)=esk348_3(X2,X3,X4))).
% 282.28/198.96 cnf(i_0_7101, axiom, (X1!=X2|esk348_3(X3,X1,X4)=esk348_3(X3,X2,X4))).
% 282.28/198.96 cnf(i_0_7102, axiom, (X1!=X2|esk348_3(X3,X4,X1)=esk348_3(X3,X4,X2))).
% 282.28/198.96 cnf(i_0_7103, axiom, (X1!=X2|esk366_2(X1,X3)=esk366_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7104, axiom, (X1!=X2|esk366_2(X3,X1)=esk366_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7105, axiom, (X1!=X2|cast_as_carrier_subset(X1)=cast_as_carrier_subset(X2))).
% 282.28/198.96 cnf(i_0_7106, axiom, (X1!=X2|esk346_2(X1,X3)=esk346_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7107, axiom, (X1!=X2|esk346_2(X3,X1)=esk346_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7108, axiom, (X1!=X2|esk345_2(X1,X3)=esk345_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7109, axiom, (X1!=X2|esk345_2(X3,X1)=esk345_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7110, axiom, (X1!=X2|esk179_1(X1)=esk179_1(X2))).
% 282.28/198.96 cnf(i_0_7111, axiom, (X1!=X2|esk178_1(X1)=esk178_1(X2))).
% 282.28/198.96 cnf(i_0_7112, axiom, (X1!=X2|esk367_2(X1,X3)=esk367_2(X2,X3))).
% 282.28/198.96 cnf(i_0_7113, axiom, (X1!=X2|esk367_2(X3,X1)=esk367_2(X3,X2))).
% 282.28/198.96 cnf(i_0_7114, axiom, (X1!=X2|esk274_2(X1,X3)=esk274_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7115, axiom, (X1!=X2|esk274_2(X3,X1)=esk274_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7116, axiom, (X1!=X2|esk271_2(X1,X3)=esk271_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7117, axiom, (X1!=X2|esk271_2(X3,X1)=esk271_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7118, axiom, (X1!=X2|pair_second(X1)=pair_second(X2))).
% 282.28/198.97 cnf(i_0_7119, axiom, (X1!=X2|esk71_2(X1,X3)=esk71_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7120, axiom, (X1!=X2|esk71_2(X3,X1)=esk71_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7121, axiom, (X1!=X2|pair_first(X1)=pair_first(X2))).
% 282.28/198.97 cnf(i_0_7122, axiom, (X1!=X2|esk364_2(X1,X3)=esk364_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7123, axiom, (X1!=X2|esk364_2(X3,X1)=esk364_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7124, axiom, (X1!=X2|esk44_2(X1,X3)=esk44_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7125, axiom, (X1!=X2|esk44_2(X3,X1)=esk44_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7126, axiom, (X1!=X2|esk492_2(X1,X3)=esk492_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7127, axiom, (X1!=X2|esk492_2(X3,X1)=esk492_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7128, axiom, (X1!=X2|esk489_2(X1,X3)=esk489_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7129, axiom, (X1!=X2|esk489_2(X3,X1)=esk489_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7130, axiom, (X1!=X2|esk9_3(X1,X3,X4)=esk9_3(X2,X3,X4))).
% 282.28/198.97 cnf(i_0_7131, axiom, (X1!=X2|esk9_3(X3,X1,X4)=esk9_3(X3,X2,X4))).
% 282.28/198.97 cnf(i_0_7132, axiom, (X1!=X2|esk9_3(X3,X4,X1)=esk9_3(X3,X4,X2))).
% 282.28/198.97 cnf(i_0_7133, axiom, (X1!=X2|function_inverse(X1)=function_inverse(X2))).
% 282.28/198.97 cnf(i_0_7134, axiom, (X1!=X2|esk535_2(X1,X3)=esk535_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7135, axiom, (X1!=X2|esk535_2(X3,X1)=esk535_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7136, axiom, (X1!=X2|esk536_2(X1,X3)=esk536_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7137, axiom, (X1!=X2|esk536_2(X3,X1)=esk536_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7138, axiom, (X1!=X2|esk386_2(X1,X3)=esk386_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7139, axiom, (X1!=X2|esk386_2(X3,X1)=esk386_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7140, axiom, (X1!=X2|esk534_2(X1,X3)=esk534_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7141, axiom, (X1!=X2|esk534_2(X3,X1)=esk534_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7142, axiom, (X1!=X2|esk533_2(X1,X3)=esk533_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7143, axiom, (X1!=X2|esk533_2(X3,X1)=esk533_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7144, axiom, (X1!=X2|esk344_2(X1,X3)=esk344_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7145, axiom, (X1!=X2|esk344_2(X3,X1)=esk344_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7146, axiom, (X1!=X2|esk324_3(X1,X3,X4)=esk324_3(X2,X3,X4))).
% 282.28/198.97 cnf(i_0_7147, axiom, (X1!=X2|esk324_3(X3,X1,X4)=esk324_3(X3,X2,X4))).
% 282.28/198.97 cnf(i_0_7148, axiom, (X1!=X2|esk324_3(X3,X4,X1)=esk324_3(X3,X4,X2))).
% 282.28/198.97 cnf(i_0_7149, axiom, (X1!=X2|esk387_2(X1,X3)=esk387_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7150, axiom, (X1!=X2|esk387_2(X3,X1)=esk387_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7151, axiom, (X1!=X2|esk343_3(X1,X3,X4)=esk343_3(X2,X3,X4))).
% 282.28/198.97 cnf(i_0_7152, axiom, (X1!=X2|esk343_3(X3,X1,X4)=esk343_3(X3,X2,X4))).
% 282.28/198.97 cnf(i_0_7153, axiom, (X1!=X2|esk343_3(X3,X4,X1)=esk343_3(X3,X4,X2))).
% 282.28/198.97 cnf(i_0_7154, axiom, (X1!=X2|esk340_2(X1,X3)=esk340_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7155, axiom, (X1!=X2|esk340_2(X3,X1)=esk340_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7156, axiom, (X1!=X2|esk342_3(X1,X3,X4)=esk342_3(X2,X3,X4))).
% 282.28/198.97 cnf(i_0_7157, axiom, (X1!=X2|esk342_3(X3,X1,X4)=esk342_3(X3,X2,X4))).
% 282.28/198.97 cnf(i_0_7158, axiom, (X1!=X2|esk342_3(X3,X4,X1)=esk342_3(X3,X4,X2))).
% 282.28/198.97 cnf(i_0_7159, axiom, (X1!=X2|esk339_2(X1,X3)=esk339_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7160, axiom, (X1!=X2|esk339_2(X3,X1)=esk339_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7161, axiom, (X1!=X2|esk136_1(X1)=esk136_1(X2))).
% 282.28/198.97 cnf(i_0_7162, axiom, (X1!=X2|esk545_1(X1)=esk545_1(X2))).
% 282.28/198.97 cnf(i_0_7163, axiom, (X1!=X2|esk293_2(X1,X3)=esk293_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7164, axiom, (X1!=X2|esk293_2(X3,X1)=esk293_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7165, axiom, (X1!=X2|esk383_2(X1,X3)=esk383_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7166, axiom, (X1!=X2|esk383_2(X3,X1)=esk383_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7167, axiom, (X1!=X2|esk495_3(X1,X3,X4)=esk495_3(X2,X3,X4))).
% 282.28/198.97 cnf(i_0_7168, axiom, (X1!=X2|esk495_3(X3,X1,X4)=esk495_3(X3,X2,X4))).
% 282.28/198.97 cnf(i_0_7169, axiom, (X1!=X2|esk495_3(X3,X4,X1)=esk495_3(X3,X4,X2))).
% 282.28/198.97 cnf(i_0_7170, axiom, (X1!=X2|poset_of_lattice(X1)=poset_of_lattice(X2))).
% 282.28/198.97 cnf(i_0_7171, axiom, (X1!=X2|cast_to_el_of_LattPOSet(X1,X3)=cast_to_el_of_LattPOSet(X2,X3))).
% 282.28/198.97 cnf(i_0_7172, axiom, (X1!=X2|cast_to_el_of_LattPOSet(X3,X1)=cast_to_el_of_LattPOSet(X3,X2))).
% 282.28/198.97 cnf(i_0_7173, axiom, (X1!=X2|esk420_3(X1,X3,X4)=esk420_3(X2,X3,X4))).
% 282.28/198.97 cnf(i_0_7174, axiom, (X1!=X2|esk420_3(X3,X1,X4)=esk420_3(X3,X2,X4))).
% 282.28/198.97 cnf(i_0_7175, axiom, (X1!=X2|esk420_3(X3,X4,X1)=esk420_3(X3,X4,X2))).
% 282.28/198.97 cnf(i_0_7176, axiom, (X1!=X2|esk416_2(X1,X3)=esk416_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7177, axiom, (X1!=X2|esk416_2(X3,X1)=esk416_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7178, axiom, (X1!=X2|esk415_2(X1,X3)=esk415_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7179, axiom, (X1!=X2|esk415_2(X3,X1)=esk415_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7180, axiom, (X1!=X2|esk337_2(X1,X3)=esk337_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7181, axiom, (X1!=X2|esk337_2(X3,X1)=esk337_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7182, axiom, (X1!=X2|esk338_2(X1,X3)=esk338_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7183, axiom, (X1!=X2|esk338_2(X3,X1)=esk338_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7184, axiom, (X1!=X2|bottom_of_semilattstr(X1)=bottom_of_semilattstr(X2))).
% 282.28/198.97 cnf(i_0_7185, axiom, (X1!=X2|identity_on_carrier(X1)=identity_on_carrier(X2))).
% 282.28/198.97 cnf(i_0_7186, axiom, (X1!=X2|esk418_2(X1,X3)=esk418_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7187, axiom, (X1!=X2|esk418_2(X3,X1)=esk418_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7188, axiom, (X1!=X2|esk417_2(X1,X3)=esk417_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7189, axiom, (X1!=X2|esk417_2(X3,X1)=esk417_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7190, axiom, (X1!=X2|esk392_6(X1,X3,X4,X5,X6,X7)=esk392_6(X2,X3,X4,X5,X6,X7))).
% 282.28/198.97 cnf(i_0_7191, axiom, (X1!=X2|esk392_6(X3,X1,X4,X5,X6,X7)=esk392_6(X3,X2,X4,X5,X6,X7))).
% 282.28/198.97 cnf(i_0_7192, axiom, (X1!=X2|esk392_6(X3,X4,X1,X5,X6,X7)=esk392_6(X3,X4,X2,X5,X6,X7))).
% 282.28/198.97 cnf(i_0_7193, axiom, (X1!=X2|esk392_6(X3,X4,X5,X1,X6,X7)=esk392_6(X3,X4,X5,X2,X6,X7))).
% 282.28/198.97 cnf(i_0_7194, axiom, (X1!=X2|esk392_6(X3,X4,X5,X6,X1,X7)=esk392_6(X3,X4,X5,X6,X2,X7))).
% 282.28/198.97 cnf(i_0_7195, axiom, (X1!=X2|esk392_6(X3,X4,X5,X6,X7,X1)=esk392_6(X3,X4,X5,X6,X7,X2))).
% 282.28/198.97 cnf(i_0_7196, axiom, (X1!=X2|subset_difference(X1,X3,X4)=subset_difference(X2,X3,X4))).
% 282.28/198.97 cnf(i_0_7197, axiom, (X1!=X2|subset_difference(X3,X1,X4)=subset_difference(X3,X2,X4))).
% 282.28/198.97 cnf(i_0_7198, axiom, (X1!=X2|subset_difference(X3,X4,X1)=subset_difference(X3,X4,X2))).
% 282.28/198.97 cnf(i_0_7199, axiom, (X1!=X2|esk414_2(X1,X3)=esk414_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7200, axiom, (X1!=X2|esk414_2(X3,X1)=esk414_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7201, axiom, (X1!=X2|rel_str_of(X1,X3)=rel_str_of(X2,X3))).
% 282.28/198.97 cnf(i_0_7202, axiom, (X1!=X2|rel_str_of(X3,X1)=rel_str_of(X3,X2))).
% 282.28/198.97 cnf(i_0_7203, axiom, (X1!=X2|esk336_2(X1,X3)=esk336_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7204, axiom, (X1!=X2|esk336_2(X3,X1)=esk336_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7205, axiom, (X1!=X2|esk75_3(X1,X3,X4)=esk75_3(X2,X3,X4))).
% 282.28/198.97 cnf(i_0_7206, axiom, (X1!=X2|esk75_3(X3,X1,X4)=esk75_3(X3,X2,X4))).
% 282.28/198.97 cnf(i_0_7207, axiom, (X1!=X2|esk75_3(X3,X4,X1)=esk75_3(X3,X4,X2))).
% 282.28/198.97 cnf(i_0_7208, axiom, (X1!=X2|esk257_1(X1)=esk257_1(X2))).
% 282.28/198.97 cnf(i_0_7209, axiom, (X1!=X2|esk384_2(X1,X3)=esk384_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7210, axiom, (X1!=X2|esk384_2(X3,X1)=esk384_2(X3,X2))).
% 282.28/198.97 cnf(i_0_7211, axiom, (X1!=X2|esk256_1(X1)=esk256_1(X2))).
% 282.28/198.97 cnf(i_0_7212, axiom, (X1!=X2|esk439_3(X1,X3,X4)=esk439_3(X2,X3,X4))).
% 282.28/198.97 cnf(i_0_7213, axiom, (X1!=X2|esk439_3(X3,X1,X4)=esk439_3(X3,X2,X4))).
% 282.28/198.97 cnf(i_0_7214, axiom, (X1!=X2|esk439_3(X3,X4,X1)=esk439_3(X3,X4,X2))).
% 282.28/198.97 cnf(i_0_7215, axiom, (X1!=X2|cast_to_el_of_lattice(X1,X3)=cast_to_el_of_lattice(X2,X3))).
% 282.28/198.97 cnf(i_0_7216, axiom, (X1!=X2|cast_to_el_of_lattice(X3,X1)=cast_to_el_of_lattice(X3,X2))).
% 282.28/198.97 cnf(i_0_7217, axiom, (X1!=X2|esk177_1(X1)=esk177_1(X2))).
% 282.28/198.97 cnf(i_0_7218, axiom, (X1!=X2|esk385_2(X1,X3)=esk385_2(X2,X3))).
% 282.28/198.97 cnf(i_0_7219, axiom, (X1!=X2|esk385_2(X3,X1)=esk385_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7220, axiom, (X1!=X2|esk176_1(X1)=esk176_1(X2))).
% 282.28/198.98 cnf(i_0_7221, axiom, (X1!=X2|meet_commut(X1,X3,X4)=meet_commut(X2,X3,X4))).
% 282.28/198.98 cnf(i_0_7222, axiom, (X1!=X2|meet_commut(X3,X1,X4)=meet_commut(X3,X2,X4))).
% 282.28/198.98 cnf(i_0_7223, axiom, (X1!=X2|meet_commut(X3,X4,X1)=meet_commut(X3,X4,X2))).
% 282.28/198.98 cnf(i_0_7224, axiom, (X1!=X2|esk169_3(X1,X3,X4)=esk169_3(X2,X3,X4))).
% 282.28/198.98 cnf(i_0_7225, axiom, (X1!=X2|esk169_3(X3,X1,X4)=esk169_3(X3,X2,X4))).
% 282.28/198.98 cnf(i_0_7226, axiom, (X1!=X2|esk169_3(X3,X4,X1)=esk169_3(X3,X4,X2))).
% 282.28/198.98 cnf(i_0_7227, axiom, (X1!=X2|esk41_1(X1)=esk41_1(X2))).
% 282.28/198.98 cnf(i_0_7228, axiom, (X1!=X2|esk382_2(X1,X3)=esk382_2(X2,X3))).
% 282.28/198.98 cnf(i_0_7229, axiom, (X1!=X2|esk382_2(X3,X1)=esk382_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7230, axiom, (X1!=X2|esk40_1(X1)=esk40_1(X2))).
% 282.28/198.98 cnf(i_0_7231, axiom, (X1!=X2|esk168_3(X1,X3,X4)=esk168_3(X2,X3,X4))).
% 282.28/198.98 cnf(i_0_7232, axiom, (X1!=X2|esk168_3(X3,X1,X4)=esk168_3(X3,X2,X4))).
% 282.28/198.98 cnf(i_0_7233, axiom, (X1!=X2|esk168_3(X3,X4,X1)=esk168_3(X3,X4,X2))).
% 282.28/198.98 cnf(i_0_7234, axiom, (X1!=X2|esk421_3(X1,X3,X4)=esk421_3(X2,X3,X4))).
% 282.28/198.98 cnf(i_0_7235, axiom, (X1!=X2|esk421_3(X3,X1,X4)=esk421_3(X3,X2,X4))).
% 282.28/198.98 cnf(i_0_7236, axiom, (X1!=X2|esk421_3(X3,X4,X1)=esk421_3(X3,X4,X2))).
% 282.28/198.98 cnf(i_0_7237, axiom, (X1!=X2|esk363_2(X1,X3)=esk363_2(X2,X3))).
% 282.28/198.98 cnf(i_0_7238, axiom, (X1!=X2|esk363_2(X3,X1)=esk363_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7239, axiom, (X1!=X2|esk331_2(X1,X3)=esk331_2(X2,X3))).
% 282.28/198.98 cnf(i_0_7240, axiom, (X1!=X2|esk331_2(X3,X1)=esk331_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7241, axiom, (X1!=X2|interior(X1,X3)=interior(X2,X3))).
% 282.28/198.98 cnf(i_0_7242, axiom, (X1!=X2|interior(X3,X1)=interior(X3,X2))).
% 282.28/198.98 cnf(i_0_7243, axiom, (X1!=X2|bottom_of_relstr(X1)=bottom_of_relstr(X2))).
% 282.28/198.98 cnf(i_0_7244, axiom, (X1!=X2|esk273_1(X1)=esk273_1(X2))).
% 282.28/198.98 cnf(i_0_7245, axiom, (X1!=X2|esk491_1(X1)=esk491_1(X2))).
% 282.28/198.98 cnf(i_0_7246, axiom, (X1!=X2|meet_of_subsets(X1,X3)=meet_of_subsets(X2,X3))).
% 282.28/198.98 cnf(i_0_7247, axiom, (X1!=X2|meet_of_subsets(X3,X1)=meet_of_subsets(X3,X2))).
% 282.28/198.98 cnf(i_0_7248, axiom, (X1!=X2|unordered_pair_as_carrier_subset(X1,X3,X4)=unordered_pair_as_carrier_subset(X2,X3,X4))).
% 282.28/198.98 cnf(i_0_7249, axiom, (X1!=X2|unordered_pair_as_carrier_subset(X3,X1,X4)=unordered_pair_as_carrier_subset(X3,X2,X4))).
% 282.28/198.98 cnf(i_0_7250, axiom, (X1!=X2|unordered_pair_as_carrier_subset(X3,X4,X1)=unordered_pair_as_carrier_subset(X3,X4,X2))).
% 282.28/198.98 cnf(i_0_7251, axiom, (X1!=X2|set_meet(X1)=set_meet(X2))).
% 282.28/198.98 cnf(i_0_7252, axiom, (X1!=X2|join_commut(X1,X3,X4)=join_commut(X2,X3,X4))).
% 282.28/198.98 cnf(i_0_7253, axiom, (X1!=X2|join_commut(X3,X1,X4)=join_commut(X3,X2,X4))).
% 282.28/198.98 cnf(i_0_7254, axiom, (X1!=X2|join_commut(X3,X4,X1)=join_commut(X3,X4,X2))).
% 282.28/198.98 cnf(i_0_7255, axiom, (X1!=X2|esk457_3(X1,X3,X4)=esk457_3(X2,X3,X4))).
% 282.28/198.98 cnf(i_0_7256, axiom, (X1!=X2|esk457_3(X3,X1,X4)=esk457_3(X3,X2,X4))).
% 282.28/198.98 cnf(i_0_7257, axiom, (X1!=X2|esk457_3(X3,X4,X1)=esk457_3(X3,X4,X2))).
% 282.28/198.98 cnf(i_0_7258, axiom, (X1!=X2|esk96_2(X1,X3)=esk96_2(X2,X3))).
% 282.28/198.98 cnf(i_0_7259, axiom, (X1!=X2|esk96_2(X3,X1)=esk96_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7260, axiom, (X1!=X2|esk446_6(X1,X3,X4,X5,X6,X7)=esk446_6(X2,X3,X4,X5,X6,X7))).
% 282.28/198.98 cnf(i_0_7261, axiom, (X1!=X2|esk446_6(X3,X1,X4,X5,X6,X7)=esk446_6(X3,X2,X4,X5,X6,X7))).
% 282.28/198.98 cnf(i_0_7262, axiom, (X1!=X2|esk446_6(X3,X4,X1,X5,X6,X7)=esk446_6(X3,X4,X2,X5,X6,X7))).
% 282.28/198.98 cnf(i_0_7263, axiom, (X1!=X2|esk446_6(X3,X4,X5,X1,X6,X7)=esk446_6(X3,X4,X5,X2,X6,X7))).
% 282.28/198.98 cnf(i_0_7264, axiom, (X1!=X2|esk446_6(X3,X4,X5,X6,X1,X7)=esk446_6(X3,X4,X5,X6,X2,X7))).
% 282.28/198.98 cnf(i_0_7265, axiom, (X1!=X2|esk446_6(X3,X4,X5,X6,X7,X1)=esk446_6(X3,X4,X5,X6,X7,X2))).
% 282.28/198.98 cnf(i_0_7266, axiom, (X1!=X2|esk547_1(X1)=esk547_1(X2))).
% 282.28/198.98 cnf(i_0_7267, axiom, (X1!=X2|esk507_2(X1,X3)=esk507_2(X2,X3))).
% 282.28/198.98 cnf(i_0_7268, axiom, (X1!=X2|esk507_2(X3,X1)=esk507_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7269, axiom, (X1!=X2|esk110_2(X1,X3)=esk110_2(X2,X3))).
% 282.28/198.98 cnf(i_0_7270, axiom, (X1!=X2|esk110_2(X3,X1)=esk110_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7271, axiom, (X1!=X2|union(X1)=union(X2))).
% 282.28/198.98 cnf(i_0_7272, axiom, (X1!=X2|relation_restriction(X1,X3)=relation_restriction(X2,X3))).
% 282.28/198.98 cnf(i_0_7273, axiom, (X1!=X2|relation_restriction(X3,X1)=relation_restriction(X3,X2))).
% 282.28/198.98 cnf(i_0_7274, axiom, (X1!=X2|esk381_2(X1,X3)=esk381_2(X2,X3))).
% 282.28/198.98 cnf(i_0_7275, axiom, (X1!=X2|esk381_2(X3,X1)=esk381_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7276, axiom, (X1!=X2|esk473_1(X1)=esk473_1(X2))).
% 282.28/198.98 cnf(i_0_7277, axiom, (X1!=X2|esk472_1(X1)=esk472_1(X2))).
% 282.28/198.98 cnf(i_0_7278, axiom, (X1!=X2|cartesian_product2(X1,X3)=cartesian_product2(X2,X3))).
% 282.28/198.98 cnf(i_0_7279, axiom, (X1!=X2|cartesian_product2(X3,X1)=cartesian_product2(X3,X2))).
% 282.28/198.98 cnf(i_0_7280, axiom, (X1!=X2|esk313_1(X1)=esk313_1(X2))).
% 282.28/198.98 cnf(i_0_7281, axiom, (X1!=X2|esk312_1(X1)=esk312_1(X2))).
% 282.28/198.98 cnf(i_0_7282, axiom, (X1!=X2|esk78_1(X1)=esk78_1(X2))).
% 282.28/198.98 cnf(i_0_7283, axiom, (X1!=X2|esk20_1(X1)=esk20_1(X2))).
% 282.28/198.98 cnf(i_0_7284, axiom, (X1!=X2|esk450_6(X1,X3,X4,X5,X6,X7)=esk450_6(X2,X3,X4,X5,X6,X7))).
% 282.28/198.98 cnf(i_0_7285, axiom, (X1!=X2|esk450_6(X3,X1,X4,X5,X6,X7)=esk450_6(X3,X2,X4,X5,X6,X7))).
% 282.28/198.98 cnf(i_0_7286, axiom, (X1!=X2|esk450_6(X3,X4,X1,X5,X6,X7)=esk450_6(X3,X4,X2,X5,X6,X7))).
% 282.28/198.98 cnf(i_0_7287, axiom, (X1!=X2|esk450_6(X3,X4,X5,X1,X6,X7)=esk450_6(X3,X4,X5,X2,X6,X7))).
% 282.28/198.98 cnf(i_0_7288, axiom, (X1!=X2|esk450_6(X3,X4,X5,X6,X1,X7)=esk450_6(X3,X4,X5,X6,X2,X7))).
% 282.28/198.98 cnf(i_0_7289, axiom, (X1!=X2|esk450_6(X3,X4,X5,X6,X7,X1)=esk450_6(X3,X4,X5,X6,X7,X2))).
% 282.28/198.98 cnf(i_0_7290, axiom, (X1!=X2|esk51_1(X1)=esk51_1(X2))).
% 282.28/198.98 cnf(i_0_7291, axiom, (X1!=X2|esk524_2(X1,X3)=esk524_2(X2,X3))).
% 282.28/198.98 cnf(i_0_7292, axiom, (X1!=X2|esk524_2(X3,X1)=esk524_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7293, axiom, (X1!=X2|esk56_2(X1,X3)=esk56_2(X2,X3))).
% 282.28/198.98 cnf(i_0_7294, axiom, (X1!=X2|esk56_2(X3,X1)=esk56_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7295, axiom, (X1!=X2|esk395_3(X1,X3,X4)=esk395_3(X2,X3,X4))).
% 282.28/198.98 cnf(i_0_7296, axiom, (X1!=X2|esk395_3(X3,X1,X4)=esk395_3(X3,X2,X4))).
% 282.28/198.98 cnf(i_0_7297, axiom, (X1!=X2|esk395_3(X3,X4,X1)=esk395_3(X3,X4,X2))).
% 282.28/198.98 cnf(i_0_7298, axiom, (X1!=X2|esk515_1(X1)=esk515_1(X2))).
% 282.28/198.98 cnf(i_0_7299, axiom, (X1!=X2|k2_lattice3(X1)=k2_lattice3(X2))).
% 282.28/198.98 cnf(i_0_7300, axiom, (X1!=X2|esk394_3(X1,X3,X4)=esk394_3(X2,X3,X4))).
% 282.28/198.98 cnf(i_0_7301, axiom, (X1!=X2|esk394_3(X3,X1,X4)=esk394_3(X3,X2,X4))).
% 282.28/198.98 cnf(i_0_7302, axiom, (X1!=X2|esk394_3(X3,X4,X1)=esk394_3(X3,X4,X2))).
% 282.28/198.98 cnf(i_0_7303, axiom, (X1!=X2|esk549_1(X1)=esk549_1(X2))).
% 282.28/198.98 cnf(i_0_7304, axiom, (X1!=X2|esk408_2(X1,X3)=esk408_2(X2,X3))).
% 282.28/198.98 cnf(i_0_7305, axiom, (X1!=X2|esk408_2(X3,X1)=esk408_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7306, axiom, (X1!=X2|esk393_3(X1,X3,X4)=esk393_3(X2,X3,X4))).
% 282.28/198.98 cnf(i_0_7307, axiom, (X1!=X2|esk393_3(X3,X1,X4)=esk393_3(X3,X2,X4))).
% 282.28/198.98 cnf(i_0_7308, axiom, (X1!=X2|esk393_3(X3,X4,X1)=esk393_3(X3,X4,X2))).
% 282.28/198.98 cnf(i_0_7309, axiom, (X1!=X2|esk132_1(X1)=esk132_1(X2))).
% 282.28/198.98 cnf(i_0_7310, axiom, (X1!=X2|esk133_1(X1)=esk133_1(X2))).
% 282.28/198.98 cnf(i_0_7311, axiom, (X1!=X2|esk91_1(X1)=esk91_1(X2))).
% 282.28/198.98 cnf(i_0_7312, axiom, (X1!=X2|esk90_1(X1)=esk90_1(X2))).
% 282.28/198.98 cnf(i_0_7313, axiom, (X1!=X2|empty_carrier_subset(X1)=empty_carrier_subset(X2))).
% 282.28/198.98 cnf(i_0_7314, axiom, (X1!=X2|esk69_1(X1)=esk69_1(X2))).
% 282.28/198.98 cnf(i_0_7315, axiom, (X1!=X2|esk249_2(X1,X3)=esk249_2(X2,X3))).
% 282.28/198.98 cnf(i_0_7316, axiom, (X1!=X2|esk249_2(X3,X1)=esk249_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7317, axiom, (X1!=X2|esk251_2(X1,X3)=esk251_2(X2,X3))).
% 282.28/198.98 cnf(i_0_7318, axiom, (X1!=X2|esk251_2(X3,X1)=esk251_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7319, axiom, (X1!=X2|esk248_2(X1,X3)=esk248_2(X2,X3))).
% 282.28/198.98 cnf(i_0_7320, axiom, (X1!=X2|esk248_2(X3,X1)=esk248_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7321, axiom, (X1!=X2|esk250_2(X1,X3)=esk250_2(X2,X3))).
% 282.28/198.98 cnf(i_0_7322, axiom, (X1!=X2|esk250_2(X3,X1)=esk250_2(X3,X2))).
% 282.28/198.98 cnf(i_0_7323, axiom, (X1!=X2|esk278_2(X1,X3)=esk278_2(X2,X3))).
% 282.28/198.99 cnf(i_0_7324, axiom, (X1!=X2|esk278_2(X3,X1)=esk278_2(X3,X2))).
% 282.28/198.99 cnf(i_0_7325, axiom, (X1!=X2|esk280_2(X1,X3)=esk280_2(X2,X3))).
% 282.28/198.99 cnf(i_0_7326, axiom, (X1!=X2|esk280_2(X3,X1)=esk280_2(X3,X2))).
% 282.28/198.99 cnf(i_0_7327, axiom, (X1!=X2|esk277_2(X1,X3)=esk277_2(X2,X3))).
% 282.28/198.99 cnf(i_0_7328, axiom, (X1!=X2|esk277_2(X3,X1)=esk277_2(X3,X2))).
% 282.28/198.99 cnf(i_0_7329, axiom, (X1!=X2|esk279_2(X1,X3)=esk279_2(X2,X3))).
% 282.28/198.99 cnf(i_0_7330, axiom, (X1!=X2|esk279_2(X3,X1)=esk279_2(X3,X2))).
% 282.28/198.99 cnf(i_0_7331, axiom, (X1!=X2|esk247_2(X1,X3)=esk247_2(X2,X3))).
% 282.28/198.99 cnf(i_0_7332, axiom, (X1!=X2|esk247_2(X3,X1)=esk247_2(X3,X2))).
% 282.28/198.99 cnf(i_0_7333, axiom, (X1!=X2|esk276_2(X1,X3)=esk276_2(X2,X3))).
% 282.28/198.99 cnf(i_0_7334, axiom, (X1!=X2|esk276_2(X3,X1)=esk276_2(X3,X2))).
% 282.28/198.99 cnf(i_0_7335, axiom, (X1!=X2|apply_binary_as_element(X1,X3,X4,X5,X6,X7)=apply_binary_as_element(X2,X3,X4,X5,X6,X7))).
% 282.28/198.99 cnf(i_0_7336, axiom, (X1!=X2|apply_binary_as_element(X3,X1,X4,X5,X6,X7)=apply_binary_as_element(X3,X2,X4,X5,X6,X7))).
% 282.28/198.99 cnf(i_0_7337, axiom, (X1!=X2|apply_binary_as_element(X3,X4,X1,X5,X6,X7)=apply_binary_as_element(X3,X4,X2,X5,X6,X7))).
% 282.28/198.99 cnf(i_0_7338, axiom, (X1!=X2|apply_binary_as_element(X3,X4,X5,X1,X6,X7)=apply_binary_as_element(X3,X4,X5,X2,X6,X7))).
% 282.28/198.99 cnf(i_0_7339, axiom, (X1!=X2|apply_binary_as_element(X3,X4,X5,X6,X1,X7)=apply_binary_as_element(X3,X4,X5,X6,X2,X7))).
% 282.28/198.99 cnf(i_0_7340, axiom, (X1!=X2|apply_binary_as_element(X3,X4,X5,X6,X7,X1)=apply_binary_as_element(X3,X4,X5,X6,X7,X2))).
% 282.28/198.99 cnf(i_0_7341, axiom, (X1!=X2|apply_on_set_and_struct(X1,X3,X4,X5)=apply_on_set_and_struct(X2,X3,X4,X5))).
% 282.28/198.99 cnf(i_0_7342, axiom, (X1!=X2|apply_on_set_and_struct(X3,X1,X4,X5)=apply_on_set_and_struct(X3,X2,X4,X5))).
% 282.28/198.99 cnf(i_0_7343, axiom, (X1!=X2|apply_on_set_and_struct(X3,X4,X1,X5)=apply_on_set_and_struct(X3,X4,X2,X5))).
% 282.28/198.99 cnf(i_0_7344, axiom, (X1!=X2|apply_on_set_and_struct(X3,X4,X5,X1)=apply_on_set_and_struct(X3,X4,X5,X2))).
% 282.28/198.99 cnf(i_0_7345, axiom, (X1!=X2|the_mapping(X1,X3)=the_mapping(X2,X3))).
% 282.28/198.99 cnf(i_0_7346, axiom, (X1!=X2|the_mapping(X3,X1)=the_mapping(X3,X2))).
% 282.28/198.99 cnf(i_0_7347, axiom, (X1!=X2|function_of_composition(X1,X3,X4,X5,X6)=function_of_composition(X2,X3,X4,X5,X6))).
% 282.28/198.99 cnf(i_0_7348, axiom, (X1!=X2|function_of_composition(X3,X1,X4,X5,X6)=function_of_composition(X3,X2,X4,X5,X6))).
% 282.28/198.99 cnf(i_0_7349, axiom, (X1!=X2|function_of_composition(X3,X4,X1,X5,X6)=function_of_composition(X3,X4,X2,X5,X6))).
% 282.28/198.99 cnf(i_0_7350, axiom, (X1!=X2|function_of_composition(X3,X4,X5,X1,X6)=function_of_composition(X3,X4,X5,X2,X6))).
% 282.28/198.99 cnf(i_0_7351, axiom, (X1!=X2|function_of_composition(X3,X4,X5,X6,X1)=function_of_composition(X3,X4,X5,X6,X2))).
% 282.28/198.99 cnf(i_0_7352, axiom, (X1!=X2|relation_field(X1)=relation_field(X2))).
% 282.28/198.99 cnf(i_0_7353, axiom, (X1!=X2|relation_dom(X1)=relation_dom(X2))).
% 282.28/198.99 cnf(i_0_7354, axiom, (X1!=X2|esk290_2(X1,X3)=esk290_2(X2,X3))).
% 282.28/198.99 cnf(i_0_7355, axiom, (X1!=X2|esk290_2(X3,X1)=esk290_2(X3,X2))).
% 282.28/198.99 cnf(i_0_7356, axiom, (X1!=X2|relation_rng(X1)=relation_rng(X2))).
% 282.28/198.99 cnf(i_0_7357, axiom, (X1!=X2|esk298_4(X1,X3,X4,X5)=esk298_4(X2,X3,X4,X5))).
% 282.28/198.99 cnf(i_0_7358, axiom, (X1!=X2|esk298_4(X3,X1,X4,X5)=esk298_4(X3,X2,X4,X5))).
% 282.28/198.99 cnf(i_0_7359, axiom, (X1!=X2|esk298_4(X3,X4,X1,X5)=esk298_4(X3,X4,X2,X5))).
% 282.28/198.99 cnf(i_0_7360, axiom, (X1!=X2|esk298_4(X3,X4,X5,X1)=esk298_4(X3,X4,X5,X2))).
% 282.28/198.99 cnf(i_0_7361, axiom, (X1!=X2|esk425_4(X1,X3,X4,X5)=esk425_4(X2,X3,X4,X5))).
% 282.28/198.99 cnf(i_0_7362, axiom, (X1!=X2|esk425_4(X3,X1,X4,X5)=esk425_4(X3,X2,X4,X5))).
% 282.28/198.99 cnf(i_0_7363, axiom, (X1!=X2|esk425_4(X3,X4,X1,X5)=esk425_4(X3,X4,X2,X5))).
% 282.28/198.99 cnf(i_0_7364, axiom, (X1!=X2|esk425_4(X3,X4,X5,X1)=esk425_4(X3,X4,X5,X2))).
% 282.28/198.99 cnf(i_0_7365, axiom, (X1!=X2|apply_binary(X1,X3,X4)=apply_binary(X2,X3,X4))).
% 282.28/198.99 cnf(i_0_7366, axiom, (X1!=X2|apply_binary(X3,X1,X4)=apply_binary(X3,X2,X4))).
% 282.28/198.99 cnf(i_0_7367, axiom, (X1!=X2|apply_binary(X3,X4,X1)=apply_binary(X3,X4,X2))).
% 282.28/198.99 cnf(i_0_7368, axiom, (X1!=X2|relation_rng_as_subset(X1,X3,X4)=relation_rng_as_subset(X2,X3,X4))).
% 282.28/198.99 cnf(i_0_7369, axiom, (X1!=X2|relation_rng_as_subset(X3,X1,X4)=relation_rng_as_subset(X3,X2,X4))).
% 282.28/198.99 cnf(i_0_7370, axiom, (X1!=X2|relation_rng_as_subset(X3,X4,X1)=relation_rng_as_subset(X3,X4,X2))).
% 282.28/198.99 cnf(i_0_7371, axiom, (X1!=X2|esk291_2(X1,X3)=esk291_2(X2,X3))).
% 282.28/198.99 cnf(i_0_7372, axiom, (X1!=X2|esk291_2(X3,X1)=esk291_2(X3,X2))).
% 282.28/198.99 cnf(i_0_7373, axiom, (X1!=X2|join(X1,X3,X4)=join(X2,X3,X4))).
% 282.28/198.99 cnf(i_0_7374, axiom, (X1!=X2|join(X3,X1,X4)=join(X3,X2,X4))).
% 282.28/198.99 cnf(i_0_7375, axiom, (X1!=X2|join(X3,X4,X1)=join(X3,X4,X2))).
% 282.28/198.99 cnf(i_0_7376, axiom, (X1!=X2|meet(X1,X3,X4)=meet(X2,X3,X4))).
% 282.28/198.99 cnf(i_0_7377, axiom, (X1!=X2|meet(X3,X1,X4)=meet(X3,X2,X4))).
% 282.28/198.99 cnf(i_0_7378, axiom, (X1!=X2|meet(X3,X4,X1)=meet(X3,X4,X2))).
% 282.28/198.99 cnf(i_0_7379, axiom, (X1!=X2|relation_image(X1,X3)=relation_image(X2,X3))).
% 282.28/198.99 cnf(i_0_7380, axiom, (X1!=X2|relation_image(X3,X1)=relation_image(X3,X2))).
% 282.28/198.99 cnf(i_0_7381, axiom, (X1!=X2|relation_rng_restriction(X1,X3)=relation_rng_restriction(X2,X3))).
% 282.28/198.99 cnf(i_0_7382, axiom, (X1!=X2|relation_rng_restriction(X3,X1)=relation_rng_restriction(X3,X2))).
% 282.28/198.99 cnf(i_0_7383, axiom, (X1!=X2|~empty(X1)|empty(X2))).
% 282.28/198.99 cnf(i_0_7384, axiom, (X1!=X2|~empty_carrier(X1)|empty_carrier(X2))).
% 282.28/198.99 cnf(i_0_7385, axiom, (X1!=X2|~equipotent(X1,X3)|equipotent(X2,X3))).
% 282.28/198.99 cnf(i_0_7386, axiom, (X1!=X2|~equipotent(X3,X1)|equipotent(X3,X2))).
% 282.28/198.99 cnf(i_0_7387, axiom, (X1!=X2|~connected_relstr(X1)|connected_relstr(X2))).
% 282.28/198.99 cnf(i_0_7388, axiom, (X1!=X2|~upper_bounded_relstr(X1)|upper_bounded_relstr(X2))).
% 282.28/198.99 cnf(i_0_7389, axiom, (X1!=X2|~with_suprema_relstr(X1)|with_suprema_relstr(X2))).
% 282.28/198.99 cnf(i_0_7390, axiom, (X1!=X2|~with_infima_relstr(X1)|with_infima_relstr(X2))).
% 282.28/198.99 cnf(i_0_7391, axiom, (X1!=X2|~bounded_relstr(X1)|bounded_relstr(X2))).
% 282.28/198.99 cnf(i_0_7392, axiom, (X1!=X2|~distributive_relstr(X1)|distributive_relstr(X2))).
% 282.28/198.99 cnf(i_0_7393, axiom, (X1!=X2|~complemented_relstr(X1)|complemented_relstr(X2))).
% 282.28/198.99 cnf(i_0_7394, axiom, (X1!=X2|~boolean_relstr(X1)|boolean_relstr(X2))).
% 282.28/198.99 cnf(i_0_7395, axiom, (X1!=X2|~are_equipotent(X1,X3)|are_equipotent(X2,X3))).
% 282.28/198.99 cnf(i_0_7396, axiom, (X1!=X2|~are_equipotent(X3,X1)|are_equipotent(X3,X2))).
% 282.28/198.99 cnf(i_0_7397, axiom, (X1!=X2|~related(X1,X3,X4)|related(X2,X3,X4))).
% 282.28/198.99 cnf(i_0_7398, axiom, (X1!=X2|~related(X3,X1,X4)|related(X3,X2,X4))).
% 282.28/198.99 cnf(i_0_7399, axiom, (X1!=X2|~related(X3,X4,X1)|related(X3,X4,X2))).
% 282.28/198.99 cnf(i_0_7400, axiom, (X1!=X2|~v1_yellow_3(X1)|v1_yellow_3(X2))).
% 282.28/198.99 cnf(i_0_7401, axiom, (X1!=X2|~v3_waybel_3(X1)|v3_waybel_3(X2))).
% 282.28/198.99 cnf(i_0_7402, axiom, (X1!=X2|~up_complete_relstr(X1)|up_complete_relstr(X2))).
% 282.28/198.99 cnf(i_0_7403, axiom, (X1!=X2|~v2_waybel_3(X1)|v2_waybel_3(X2))).
% 282.28/198.99 cnf(i_0_7404, axiom, (X1!=X2|~v2_waybel_2(X1)|v2_waybel_2(X2))).
% 282.28/198.99 cnf(i_0_7405, axiom, (X1!=X2|~v1_waybel_2(X1)|v1_waybel_2(X2))).
% 282.28/198.99 cnf(i_0_7406, axiom, (X1!=X2|~join_complete_relstr(X1)|join_complete_relstr(X2))).
% 282.28/198.99 cnf(i_0_7407, axiom, (X1!=X2|~complete_relstr(X1)|complete_relstr(X2))).
% 282.28/198.99 cnf(i_0_7408, axiom, (X1!=X2|~proper_subset(X1,X3)|proper_subset(X2,X3))).
% 282.28/198.99 cnf(i_0_7409, axiom, (X1!=X2|~proper_subset(X3,X1)|proper_subset(X3,X2))).
% 282.28/198.99 cnf(i_0_7410, axiom, (X1!=X2|~v2_binop_1(X1,X3)|v2_binop_1(X2,X3))).
% 282.28/198.99 cnf(i_0_7411, axiom, (X1!=X2|~v2_binop_1(X3,X1)|v2_binop_1(X3,X2))).
% 282.28/198.99 cnf(i_0_7412, axiom, (X1!=X2|~relation_of2_as_subset(X1,X3,X4)|relation_of2_as_subset(X2,X3,X4))).
% 282.28/198.99 cnf(i_0_7413, axiom, (X1!=X2|~relation_of2_as_subset(X3,X1,X4)|relation_of2_as_subset(X3,X2,X4))).
% 282.28/198.99 cnf(i_0_7414, axiom, (X1!=X2|~relation_of2_as_subset(X3,X4,X1)|relation_of2_as_subset(X3,X4,X2))).
% 282.28/198.99 cnf(i_0_7415, axiom, (X1!=X2|~v1_binop_1(X1,X3)|v1_binop_1(X2,X3))).
% 282.28/198.99 cnf(i_0_7416, axiom, (X1!=X2|~v1_binop_1(X3,X1)|v1_binop_1(X3,X2))).
% 282.28/198.99 cnf(i_0_7417, axiom, (X1!=X2|~relation_empty_yielding(X1)|relation_empty_yielding(X2))).
% 282.28/198.99 cnf(i_0_7418, axiom, (X1!=X2|~upper_bounded_semilattstr(X1)|upper_bounded_semilattstr(X2))).
% 282.28/198.99 cnf(i_0_7419, axiom, (X1!=X2|~boolean_lattstr(X1)|boolean_lattstr(X2))).
% 282.28/198.99 cnf(i_0_7420, axiom, (X1!=X2|~distributive_lattstr(X1)|distributive_lattstr(X2))).
% 282.28/198.99 cnf(i_0_7421, axiom, (X1!=X2|~bounded_lattstr(X1)|bounded_lattstr(X2))).
% 282.28/198.99 cnf(i_0_7422, axiom, (X1!=X2|~complemented_lattstr(X1)|complemented_lattstr(X2))).
% 282.28/198.99 cnf(i_0_7423, axiom, (X1!=X2|~v1_int_1(X1)|v1_int_1(X2))).
% 282.28/198.99 cnf(i_0_7424, axiom, (X1!=X2|~v1_rat_1(X1)|v1_rat_1(X2))).
% 282.28/198.99 cnf(i_0_7425, axiom, (X1!=X2|~v1_xreal_0(X1)|v1_xreal_0(X2))).
% 282.28/198.99 cnf(i_0_7426, axiom, (X1!=X2|~transitive_relstr(X1)|transitive_relstr(X2))).
% 282.28/198.99 cnf(i_0_7427, axiom, (X1!=X2|~v1_xcmplx_0(X1)|v1_xcmplx_0(X2))).
% 282.28/198.99 cnf(i_0_7428, axiom, (X1!=X2|~modular_lattstr(X1)|modular_lattstr(X2))).
% 282.28/199.00 cnf(i_0_7429, axiom, (X1!=X2|~heyting_relstr(X1)|heyting_relstr(X2))).
% 282.28/199.00 cnf(i_0_7430, axiom, (X1!=X2|~symmetric(X1)|symmetric(X2))).
% 282.28/199.00 cnf(i_0_7431, axiom, (X1!=X2|~preboolean(X1)|preboolean(X2))).
% 282.28/199.00 cnf(i_0_7432, axiom, (X1!=X2|~cup_closed(X1)|cup_closed(X2))).
% 282.28/199.00 cnf(i_0_7433, axiom, (X1!=X2|~diff_closed(X1)|diff_closed(X2))).
% 282.28/199.00 cnf(i_0_7434, axiom, (X1!=X2|~directed_relstr(X1)|directed_relstr(X2))).
% 282.28/199.00 cnf(i_0_7435, axiom, (X1!=X2|~net_str(X1,X3)|net_str(X2,X3))).
% 282.28/199.00 cnf(i_0_7436, axiom, (X1!=X2|~net_str(X3,X1)|net_str(X3,X2))).
% 282.28/199.00 cnf(i_0_7437, axiom, (X1!=X2|~relation_isomorphism(X1,X3,X4)|relation_isomorphism(X2,X3,X4))).
% 282.28/199.00 cnf(i_0_7438, axiom, (X1!=X2|~relation_isomorphism(X3,X1,X4)|relation_isomorphism(X3,X2,X4))).
% 282.28/199.00 cnf(i_0_7439, axiom, (X1!=X2|~relation_isomorphism(X3,X4,X1)|relation_isomorphism(X3,X4,X2))).
% 282.28/199.00 cnf(i_0_7440, axiom, (X1!=X2|~one_to_one(X1)|one_to_one(X2))).
% 282.28/199.00 cnf(i_0_7441, axiom, (X1!=X2|~join_semilatt_str(X1)|join_semilatt_str(X2))).
% 282.28/199.00 cnf(i_0_7442, axiom, (X1!=X2|~meet_semilatt_str(X1)|meet_semilatt_str(X2))).
% 282.28/199.00 cnf(i_0_7443, axiom, (X1!=X2|~in(X1,X3)|in(X2,X3))).
% 282.28/199.00 cnf(i_0_7444, axiom, (X1!=X2|~in(X3,X1)|in(X3,X2))).
% 282.28/199.00 cnf(i_0_7445, axiom, (X1!=X2|~strict_net_str(X1,X3)|strict_net_str(X2,X3))).
% 282.28/199.00 cnf(i_0_7446, axiom, (X1!=X2|~strict_net_str(X3,X1)|strict_net_str(X3,X2))).
% 282.28/199.00 cnf(i_0_7447, axiom, (X1!=X2|~relstr_set_smaller(X1,X3,X4)|relstr_set_smaller(X2,X3,X4))).
% 282.28/199.00 cnf(i_0_7448, axiom, (X1!=X2|~relstr_set_smaller(X3,X1,X4)|relstr_set_smaller(X3,X2,X4))).
% 282.28/199.00 cnf(i_0_7449, axiom, (X1!=X2|~relstr_set_smaller(X3,X4,X1)|relstr_set_smaller(X3,X4,X2))).
% 282.28/199.00 cnf(i_0_7450, axiom, (X1!=X2|~rel_str(X1)|rel_str(X2))).
% 282.28/199.00 cnf(i_0_7451, axiom, (X1!=X2|~finite(X1)|finite(X2))).
% 282.28/199.00 cnf(i_0_7452, axiom, (X1!=X2|~subset(X1,X3)|subset(X2,X3))).
% 282.28/199.00 cnf(i_0_7453, axiom, (X1!=X2|~subset(X3,X1)|subset(X3,X2))).
% 282.28/199.00 cnf(i_0_7454, axiom, (X1!=X2|~epred2_3(X1,X3,X4)|epred2_3(X2,X3,X4))).
% 282.28/199.00 cnf(i_0_7455, axiom, (X1!=X2|~epred2_3(X3,X1,X4)|epred2_3(X3,X2,X4))).
% 282.28/199.00 cnf(i_0_7456, axiom, (X1!=X2|~epred2_3(X3,X4,X1)|epred2_3(X3,X4,X2))).
% 282.28/199.00 cnf(i_0_7457, axiom, (X1!=X2|~is_eventually_in(X1,X3,X4)|is_eventually_in(X2,X3,X4))).
% 282.28/199.00 cnf(i_0_7458, axiom, (X1!=X2|~is_eventually_in(X3,X1,X4)|is_eventually_in(X3,X2,X4))).
% 282.28/199.00 cnf(i_0_7459, axiom, (X1!=X2|~is_eventually_in(X3,X4,X1)|is_eventually_in(X3,X4,X2))).
% 282.28/199.00 cnf(i_0_7460, axiom, (X1!=X2|~is_often_in(X1,X3,X4)|is_often_in(X2,X3,X4))).
% 282.28/199.00 cnf(i_0_7461, axiom, (X1!=X2|~is_often_in(X3,X1,X4)|is_often_in(X3,X2,X4))).
% 282.28/199.00 cnf(i_0_7462, axiom, (X1!=X2|~is_often_in(X3,X4,X1)|is_often_in(X3,X4,X2))).
% 282.28/199.00 cnf(i_0_7463, axiom, (X1!=X2|~ordinal(X1)|ordinal(X2))).
% 282.28/199.00 cnf(i_0_7464, axiom, (X1!=X2|~topological_space(X1)|topological_space(X2))).
% 282.28/199.00 cnf(i_0_7465, axiom, (X1!=X2|~relation(X1)|relation(X2))).
% 282.28/199.00 cnf(i_0_7466, axiom, (X1!=X2|~top_str(X1)|top_str(X2))).
% 282.28/199.00 cnf(i_0_7467, axiom, (X1!=X2|~below_refl(X1,X3,X4)|below_refl(X2,X3,X4))).
% 282.28/199.00 cnf(i_0_7468, axiom, (X1!=X2|~below_refl(X3,X1,X4)|below_refl(X3,X2,X4))).
% 282.28/199.00 cnf(i_0_7469, axiom, (X1!=X2|~below_refl(X3,X4,X1)|below_refl(X3,X4,X2))).
% 282.28/199.00 cnf(i_0_7470, axiom, (X1!=X2|~lattice(X1)|lattice(X2))).
% 282.28/199.00 cnf(i_0_7471, axiom, (X1!=X2|~latt_str(X1)|latt_str(X2))).
% 282.28/199.00 cnf(i_0_7472, axiom, (X1!=X2|~is_reflexive_in(X1,X3)|is_reflexive_in(X2,X3))).
% 282.28/199.00 cnf(i_0_7473, axiom, (X1!=X2|~is_reflexive_in(X3,X1)|is_reflexive_in(X3,X2))).
% 282.28/199.00 cnf(i_0_7474, axiom, (X1!=X2|~is_transitive_in(X1,X3)|is_transitive_in(X2,X3))).
% 282.28/199.00 cnf(i_0_7475, axiom, (X1!=X2|~is_transitive_in(X3,X1)|is_transitive_in(X3,X2))).
% 282.28/199.00 cnf(i_0_7476, axiom, (X1!=X2|~is_connected_in(X1,X3)|is_connected_in(X2,X3))).
% 282.28/199.00 cnf(i_0_7477, axiom, (X1!=X2|~is_connected_in(X3,X1)|is_connected_in(X3,X2))).
% 282.28/199.00 cnf(i_0_7478, axiom, (X1!=X2|~directed_subset(X1,X3)|directed_subset(X2,X3))).
% 282.28/199.00 cnf(i_0_7479, axiom, (X1!=X2|~directed_subset(X3,X1)|directed_subset(X3,X2))).
% 282.28/199.00 cnf(i_0_7480, axiom, (X1!=X2|~point_neighbourhood(X1,X3,X4)|point_neighbourhood(X2,X3,X4))).
% 282.28/199.00 cnf(i_0_7481, axiom, (X1!=X2|~point_neighbourhood(X3,X1,X4)|point_neighbourhood(X3,X2,X4))).
% 282.28/199.00 cnf(i_0_7482, axiom, (X1!=X2|~point_neighbourhood(X3,X4,X1)|point_neighbourhood(X3,X4,X2))).
% 282.28/199.00 cnf(i_0_7483, axiom, (X1!=X2|~strict_latt_str(X1)|strict_latt_str(X2))).
% 282.28/199.00 cnf(i_0_7484, axiom, (X1!=X2|~function(X1)|function(X2))).
% 282.28/199.00 cnf(i_0_7485, axiom, (X1!=X2|~open_subset(X1,X3)|open_subset(X2,X3))).
% 282.28/199.00 cnf(i_0_7486, axiom, (X1!=X2|~open_subset(X3,X1)|open_subset(X3,X2))).
% 282.28/199.00 cnf(i_0_7487, axiom, (X1!=X2|~disjoint(X1,X3)|disjoint(X2,X3))).
% 282.28/199.00 cnf(i_0_7488, axiom, (X1!=X2|~disjoint(X3,X1)|disjoint(X3,X2))).
% 282.28/199.00 cnf(i_0_7489, axiom, (X1!=X2|~full_subrelstr(X1,X3)|full_subrelstr(X2,X3))).
% 282.28/199.00 cnf(i_0_7490, axiom, (X1!=X2|~full_subrelstr(X3,X1)|full_subrelstr(X3,X2))).
% 282.28/199.00 cnf(i_0_7491, axiom, (X1!=X2|~subrelstr(X1,X3)|subrelstr(X2,X3))).
% 282.28/199.00 cnf(i_0_7492, axiom, (X1!=X2|~subrelstr(X3,X1)|subrelstr(X3,X2))).
% 282.28/199.00 cnf(i_0_7493, axiom, (X1!=X2|~subnetstr(X1,X3,X4)|subnetstr(X2,X3,X4))).
% 282.28/199.00 cnf(i_0_7494, axiom, (X1!=X2|~subnetstr(X3,X1,X4)|subnetstr(X3,X2,X4))).
% 282.28/199.00 cnf(i_0_7495, axiom, (X1!=X2|~subnetstr(X3,X4,X1)|subnetstr(X3,X4,X2))).
% 282.28/199.00 cnf(i_0_7496, axiom, (X1!=X2|~ex_sup_of_relstr_set(X1,X3)|ex_sup_of_relstr_set(X2,X3))).
% 282.28/199.00 cnf(i_0_7497, axiom, (X1!=X2|~ex_sup_of_relstr_set(X3,X1)|ex_sup_of_relstr_set(X3,X2))).
% 282.28/199.00 cnf(i_0_7498, axiom, (X1!=X2|~ex_inf_of_relstr_set(X1,X3)|ex_inf_of_relstr_set(X2,X3))).
% 282.28/199.00 cnf(i_0_7499, axiom, (X1!=X2|~ex_inf_of_relstr_set(X3,X1)|ex_inf_of_relstr_set(X3,X2))).
% 282.28/199.00 cnf(i_0_7500, axiom, (X1!=X2|~relstr_element_smaller(X1,X3,X4)|relstr_element_smaller(X2,X3,X4))).
% 282.28/199.00 cnf(i_0_7501, axiom, (X1!=X2|~relstr_element_smaller(X3,X1,X4)|relstr_element_smaller(X3,X2,X4))).
% 282.28/199.00 cnf(i_0_7502, axiom, (X1!=X2|~relstr_element_smaller(X3,X4,X1)|relstr_element_smaller(X3,X4,X2))).
% 282.28/199.00 cnf(i_0_7503, axiom, (X1!=X2|~transitive(X1)|transitive(X2))).
% 282.28/199.00 cnf(i_0_7504, axiom, (X1!=X2|~is_antisymmetric_in(X1,X3)|is_antisymmetric_in(X2,X3))).
% 282.28/199.00 cnf(i_0_7505, axiom, (X1!=X2|~is_antisymmetric_in(X3,X1)|is_antisymmetric_in(X3,X2))).
% 282.28/199.00 cnf(i_0_7506, axiom, (X1!=X2|~one_sorted_str(X1)|one_sorted_str(X2))).
% 282.28/199.00 cnf(i_0_7507, axiom, (X1!=X2|~full_subnetstr(X1,X3,X4)|full_subnetstr(X2,X3,X4))).
% 282.28/199.00 cnf(i_0_7508, axiom, (X1!=X2|~full_subnetstr(X3,X1,X4)|full_subnetstr(X3,X2,X4))).
% 282.28/199.00 cnf(i_0_7509, axiom, (X1!=X2|~full_subnetstr(X3,X4,X1)|full_subnetstr(X3,X4,X2))).
% 282.28/199.00 cnf(i_0_7510, axiom, (X1!=X2|~antisymmetric(X1)|antisymmetric(X2))).
% 282.28/199.00 cnf(i_0_7511, axiom, (X1!=X2|~latt_set_smaller(X1,X3,X4)|latt_set_smaller(X2,X3,X4))).
% 282.28/199.00 cnf(i_0_7512, axiom, (X1!=X2|~latt_set_smaller(X3,X1,X4)|latt_set_smaller(X3,X2,X4))).
% 282.28/199.00 cnf(i_0_7513, axiom, (X1!=X2|~latt_set_smaller(X3,X4,X1)|latt_set_smaller(X3,X4,X2))).
% 282.28/199.00 cnf(i_0_7514, axiom, (X1!=X2|~complete_latt_str(X1)|complete_latt_str(X2))).
% 282.28/199.00 cnf(i_0_7515, axiom, (X1!=X2|~latt_element_smaller(X1,X3,X4)|latt_element_smaller(X2,X3,X4))).
% 282.28/199.00 cnf(i_0_7516, axiom, (X1!=X2|~latt_element_smaller(X3,X1,X4)|latt_element_smaller(X3,X2,X4))).
% 282.28/199.00 cnf(i_0_7517, axiom, (X1!=X2|~latt_element_smaller(X3,X4,X1)|latt_element_smaller(X3,X4,X2))).
% 282.28/199.00 cnf(i_0_7518, axiom, (X1!=X2|~below(X1,X3,X4)|below(X2,X3,X4))).
% 282.28/199.00 cnf(i_0_7519, axiom, (X1!=X2|~below(X3,X1,X4)|below(X3,X2,X4))).
% 282.28/199.00 cnf(i_0_7520, axiom, (X1!=X2|~below(X3,X4,X1)|below(X3,X4,X2))).
% 282.28/199.00 cnf(i_0_7521, axiom, (X1!=X2|~antisymmetric_relstr(X1)|antisymmetric_relstr(X2))).
% 282.28/199.00 cnf(i_0_7522, axiom, (X1!=X2|~connected(X1)|connected(X2))).
% 282.28/199.00 cnf(i_0_7523, axiom, (X1!=X2|~reflexive(X1)|reflexive(X2))).
% 282.28/199.01 cnf(i_0_7524, axiom, (X1!=X2|~is_a_cluster_point_of_netstr(X1,X3,X4)|is_a_cluster_point_of_netstr(X2,X3,X4))).
% 282.28/199.01 cnf(i_0_7525, axiom, (X1!=X2|~is_a_cluster_point_of_netstr(X3,X1,X4)|is_a_cluster_point_of_netstr(X3,X2,X4))).
% 282.28/199.01 cnf(i_0_7526, axiom, (X1!=X2|~is_a_cluster_point_of_netstr(X3,X4,X1)|is_a_cluster_point_of_netstr(X3,X4,X2))).
% 282.28/199.01 cnf(i_0_7527, axiom, (X1!=X2|~element(X1,X3)|element(X2,X3))).
% 282.28/199.01 cnf(i_0_7528, axiom, (X1!=X2|~element(X3,X1)|element(X3,X2))).
% 282.28/199.01 cnf(i_0_7529, axiom, (X1!=X2|~onto(X1,X3,X4)|onto(X2,X3,X4))).
% 282.28/199.01 cnf(i_0_7530, axiom, (X1!=X2|~onto(X3,X1,X4)|onto(X3,X2,X4))).
% 282.28/199.01 cnf(i_0_7531, axiom, (X1!=X2|~onto(X3,X4,X1)|onto(X3,X4,X2))).
% 282.28/199.01 cnf(i_0_7532, axiom, (X1!=X2|~v1_partfun1(X1,X3,X4)|v1_partfun1(X2,X3,X4))).
% 282.28/199.01 cnf(i_0_7533, axiom, (X1!=X2|~v1_partfun1(X3,X1,X4)|v1_partfun1(X3,X2,X4))).
% 282.28/199.01 cnf(i_0_7534, axiom, (X1!=X2|~v1_partfun1(X3,X4,X1)|v1_partfun1(X3,X4,X2))).
% 282.28/199.01 cnf(i_0_7535, axiom, (X1!=X2|~bijective(X1,X3,X4)|bijective(X2,X3,X4))).
% 282.28/199.01 cnf(i_0_7536, axiom, (X1!=X2|~bijective(X3,X1,X4)|bijective(X3,X2,X4))).
% 282.28/199.01 cnf(i_0_7537, axiom, (X1!=X2|~bijective(X3,X4,X1)|bijective(X3,X4,X2))).
% 282.28/199.01 cnf(i_0_7538, axiom, (X1!=X2|~meet_absorbing(X1)|meet_absorbing(X2))).
% 282.28/199.01 cnf(i_0_7539, axiom, (X1!=X2|~closed_subset(X1,X3)|closed_subset(X2,X3))).
% 282.28/199.01 cnf(i_0_7540, axiom, (X1!=X2|~closed_subset(X3,X1)|closed_subset(X3,X2))).
% 282.28/199.01 cnf(i_0_7541, axiom, (X1!=X2|~related_reflexive(X1,X3,X4)|related_reflexive(X2,X3,X4))).
% 282.28/199.01 cnf(i_0_7542, axiom, (X1!=X2|~related_reflexive(X3,X1,X4)|related_reflexive(X3,X2,X4))).
% 282.28/199.01 cnf(i_0_7543, axiom, (X1!=X2|~related_reflexive(X3,X4,X1)|related_reflexive(X3,X4,X2))).
% 282.28/199.01 cnf(i_0_7544, axiom, (X1!=X2|~lower_bounded_semilattstr(X1)|lower_bounded_semilattstr(X2))).
% 282.28/199.01 cnf(i_0_7545, axiom, (X1!=X2|~is_well_founded_in(X1,X3)|is_well_founded_in(X2,X3))).
% 282.28/199.01 cnf(i_0_7546, axiom, (X1!=X2|~is_well_founded_in(X3,X1)|is_well_founded_in(X3,X2))).
% 282.28/199.01 cnf(i_0_7547, axiom, (X1!=X2|~upper_relstr_subset(X1,X3)|upper_relstr_subset(X2,X3))).
% 282.28/199.01 cnf(i_0_7548, axiom, (X1!=X2|~upper_relstr_subset(X3,X1)|upper_relstr_subset(X3,X2))).
% 282.28/199.01 cnf(i_0_7549, axiom, (X1!=X2|~quasi_total(X1,X3,X4)|quasi_total(X2,X3,X4))).
% 282.28/199.01 cnf(i_0_7550, axiom, (X1!=X2|~quasi_total(X3,X1,X4)|quasi_total(X3,X2,X4))).
% 282.28/199.01 cnf(i_0_7551, axiom, (X1!=X2|~quasi_total(X3,X4,X1)|quasi_total(X3,X4,X2))).
% 282.28/199.01 cnf(i_0_7552, axiom, (X1!=X2|~join_commutative(X1)|join_commutative(X2))).
% 282.28/199.01 cnf(i_0_7553, axiom, (X1!=X2|~being_limit_ordinal(X1)|being_limit_ordinal(X2))).
% 282.28/199.01 cnf(i_0_7554, axiom, (X1!=X2|~meet_commutative(X1)|meet_commutative(X2))).
% 282.28/199.01 cnf(i_0_7555, axiom, (X1!=X2|~trivial_carrier(X1)|trivial_carrier(X2))).
% 282.28/199.01 cnf(i_0_7556, axiom, (X1!=X2|~strict_rel_str(X1)|strict_rel_str(X2))).
% 282.28/199.01 cnf(i_0_7557, axiom, (X1!=X2|~join_absorbing(X1)|join_absorbing(X2))).
% 282.28/199.01 cnf(i_0_7558, axiom, (X1!=X2|~is_a_cover_of_carrier(X1,X3)|is_a_cover_of_carrier(X2,X3))).
% 282.28/199.01 cnf(i_0_7559, axiom, (X1!=X2|~is_a_cover_of_carrier(X3,X1)|is_a_cover_of_carrier(X3,X2))).
% 282.28/199.01 cnf(i_0_7560, axiom, (X1!=X2|~open_subsets(X1,X3)|open_subsets(X2,X3))).
% 282.28/199.01 cnf(i_0_7561, axiom, (X1!=X2|~open_subsets(X3,X1)|open_subsets(X3,X2))).
% 282.28/199.01 cnf(i_0_7562, axiom, (X1!=X2|~compact_top_space(X1)|compact_top_space(X2))).
% 282.28/199.01 cnf(i_0_7563, axiom, (X1!=X2|~proper_element(X1,X3)|proper_element(X2,X3))).
% 282.28/199.01 cnf(i_0_7564, axiom, (X1!=X2|~proper_element(X3,X1)|proper_element(X3,X2))).
% 282.28/199.01 cnf(i_0_7565, axiom, (X1!=X2|~relation_of2(X1,X3,X4)|relation_of2(X2,X3,X4))).
% 282.28/199.01 cnf(i_0_7566, axiom, (X1!=X2|~relation_of2(X3,X1,X4)|relation_of2(X3,X2,X4))).
% 282.28/199.01 cnf(i_0_7567, axiom, (X1!=X2|~relation_of2(X3,X4,X1)|relation_of2(X3,X4,X2))).
% 282.28/199.01 cnf(i_0_7568, axiom, (X1!=X2|~filtered_subset(X1,X3)|filtered_subset(X2,X3))).
% 282.28/199.01 cnf(i_0_7569, axiom, (X1!=X2|~filtered_subset(X3,X1)|filtered_subset(X3,X2))).
% 282.28/199.01 cnf(i_0_7570, axiom, (X1!=X2|~reflexive_relstr(X1)|reflexive_relstr(X2))).
% 282.28/199.01 cnf(i_0_7571, axiom, (X1!=X2|~lower_bounded_relstr(X1)|lower_bounded_relstr(X2))).
% 282.28/199.01 cnf(i_0_7572, axiom, (X1!=X2|~closed_subsets(X1,X3)|closed_subsets(X2,X3))).
% 282.28/199.01 cnf(i_0_7573, axiom, (X1!=X2|~closed_subsets(X3,X1)|closed_subsets(X3,X2))).
% 282.28/199.01 cnf(i_0_7574, axiom, (X1!=X2|~centered(X1)|centered(X2))).
% 282.28/199.01 cnf(i_0_7575, axiom, (X1!=X2|~ordinal_subset(X1,X3)|ordinal_subset(X2,X3))).
% 282.28/199.01 cnf(i_0_7576, axiom, (X1!=X2|~ordinal_subset(X3,X1)|ordinal_subset(X3,X2))).
% 282.28/199.01 cnf(i_0_7577, axiom, (X1!=X2|~natural(X1)|natural(X2))).
% 282.28/199.01 cnf(i_0_7578, axiom, (X1!=X2|~well_founded_relation(X1)|well_founded_relation(X2))).
% 282.28/199.01 cnf(i_0_7579, axiom, (X1!=X2|~meet_associative(X1)|meet_associative(X2))).
% 282.28/199.01 cnf(i_0_7580, axiom, (X1!=X2|~join_associative(X1)|join_associative(X2))).
% 282.28/199.01 cnf(i_0_7581, axiom, (X1!=X2|~subnet(X1,X3,X4)|subnet(X2,X3,X4))).
% 282.28/199.01 cnf(i_0_7582, axiom, (X1!=X2|~subnet(X3,X1,X4)|subnet(X3,X2,X4))).
% 282.28/199.01 cnf(i_0_7583, axiom, (X1!=X2|~subnet(X3,X4,X1)|subnet(X3,X4,X2))).
% 282.28/199.01 cnf(i_0_7584, axiom, (X1!=X2|~well_orders(X1,X3)|well_orders(X2,X3))).
% 282.28/199.01 cnf(i_0_7585, axiom, (X1!=X2|~well_orders(X3,X1)|well_orders(X3,X2))).
% 282.28/199.01 cnf(i_0_7586, axiom, (X1!=X2|~epred3_2(X1,X3)|epred3_2(X2,X3))).
% 282.28/199.01 cnf(i_0_7587, axiom, (X1!=X2|~epred3_2(X3,X1)|epred3_2(X3,X2))).
% 282.28/199.01 cnf(i_0_7588, axiom, (X1!=X2|~well_ordering(X1)|well_ordering(X2))).
% 282.28/199.01 cnf(i_0_7589, axiom, (X1!=X2|~epsilon_connected(X1)|epsilon_connected(X2))).
% 282.28/199.01 cnf(i_0_7590, axiom, (X1!=X2|~epsilon_transitive(X1)|epsilon_transitive(X2))).
% 282.28/199.01 cnf(i_0_7591, axiom, (X1!=X2|~v5_membered(X1)|v5_membered(X2))).
% 282.28/199.01 cnf(i_0_7592, axiom, (X1!=X2|~v4_membered(X1)|v4_membered(X2))).
% 282.28/199.01 cnf(i_0_7593, axiom, (X1!=X2|~v3_membered(X1)|v3_membered(X2))).
% 282.28/199.01 cnf(i_0_7594, axiom, (X1!=X2|~v2_membered(X1)|v2_membered(X2))).
% 282.28/199.01 cnf(i_0_7595, axiom, (X1!=X2|~v1_membered(X1)|v1_membered(X2))).
% 300.06/216.70 Terminated
%------------------------------------------------------------------------------