TSTP Solution File: SEU239+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU239+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 Apr 30 20:41:39 EDT 2024
% Result : Theorem 7.61s 1.32s
% Output : CNFRefutation 7.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU239+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 20:05:47 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.33 % Drodi V3.6.0
% 7.61/1.32 % Refutation found
% 7.61/1.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.61/1.32 % SZS output start CNFRefutation for theBenchmark
% 7.61/1.32 fof(f1,axiom,(
% 7.61/1.32 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f2,axiom,(
% 7.61/1.32 (! [A,B] :( proper_subset(A,B)=> ~ proper_subset(B,A) ) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f7,axiom,(
% 7.61/1.32 (! [A] :( ( epsilon_transitive(A)& epsilon_connected(A) )=> ordinal(A) ) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f10,axiom,(
% 7.61/1.32 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f12,axiom,(
% 7.61/1.32 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)| ordinal_subset(B,A) ) ) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f13,axiom,(
% 7.61/1.32 (! [A,B] :( relation(B)=> ( B = identity_relation(A)<=> (! [C,D] :( in(ordered_pair(C,D),B)<=> ( in(C,A)& C = D ) ) )) ) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f15,axiom,(
% 7.61/1.32 (! [A] :( relation(A)=> (! [B,C] :( relation(C)=> ( C = relation_dom_restriction(A,B)<=> (! [D,E] :( in(ordered_pair(D,E),C)<=> ( in(D,B)& in(ordered_pair(D,E),A) ) ) )) ) )) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f17,axiom,(
% 7.61/1.32 (! [A,B] :( relation(B)=> (! [C] :( relation(C)=> ( C = relation_rng_restriction(A,B)<=> (! [D,E] :( in(ordered_pair(D,E),C)<=> ( in(E,A)& in(ordered_pair(D,E),B) ) ) )) ) )) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f18,axiom,(
% 7.61/1.32 (! [A] :( ( relation(A)& function(A) )=> (! [B,C] :( C = relation_inverse_image(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,relation_dom(A))& in(apply(A,D),B) ) ) )) )) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f19,axiom,(
% 7.61/1.32 (! [A] :( relation(A)=> (! [B,C] :( C = relation_image(A,B)<=> (! [D] :( in(D,C)<=> (? [E] :( in(ordered_pair(E,D),A)& in(E,B) ) )) )) )) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f20,axiom,(
% 7.61/1.32 (! [A] :( relation(A)=> (! [B,C] :( C = relation_inverse_image(A,B)<=> (! [D] :( in(D,C)<=> (? [E] :( in(ordered_pair(D,E),A)& in(E,B) ) )) )) )) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f21,axiom,(
% 7.61/1.32 (! [A,B,C,D] :( D = unordered_triple(A,B,C)<=> (! [E] :( in(E,D)<=> ~ ( E != A& E != B& E != C ) ) )) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f22,axiom,(
% 7.61/1.32 (! [A] : succ(A) = set_union2(A,singleton(A)) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f23,axiom,(
% 7.61/1.32 (! [A] :( relation(A)<=> (! [B] :~ ( in(B,A)& (! [C,D] : B != ordered_pair(C,D) )) )) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f24,axiom,(
% 7.61/1.32 (! [A] :( relation(A)=> (! [B] :( is_reflexive_in(A,B)<=> (! [C] :( in(C,B)=> in(ordered_pair(C,C),A) ) )) )) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f25,axiom,(
% 7.61/1.32 (! [A,B] :( ( A != empty_set=> ( B = set_meet(A)<=> (! [C] :( in(C,B)<=> (! [D] :( in(D,A)=> in(C,D) ) )) )) )& ( A = empty_set=> ( B = set_meet(A)<=> B = empty_set ) ) ) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f26,axiom,(
% 7.61/1.32 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f27,axiom,(
% 7.61/1.32 (! [A] :( A = empty_set<=> (! [B] : ~ in(B,A) )) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f28,axiom,(
% 7.61/1.32 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f29,axiom,(
% 7.61/1.32 (! [A] :( epsilon_transitive(A)<=> (! [B] :( in(B,A)=> subset(B,A) ) )) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f35,axiom,(
% 7.61/1.32 (! [A] :( epsilon_connected(A)<=> (! [B,C] :~ ( in(B,A)& in(C,A)& ~ in(B,C)& B != C& ~ in(C,B) ) )) )),
% 7.61/1.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.32 fof(f50,axiom,(
% 7.61/1.32 (! [A] :( relation(A)=> relation_field(A) = set_union2(relation_dom(A),relation_rng(A)) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f56,axiom,(
% 7.61/1.33 (! [A,B] :( proper_subset(A,B)<=> ( subset(A,B)& A != B ) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f58,axiom,(
% 7.61/1.33 (! [A] :( relation(A)=> ( reflexive(A)<=> is_reflexive_in(A,relation_field(A)) ) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f78,axiom,(
% 7.61/1.33 (! [A] :( relation(A)=> relation(relation_inverse(A)) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f83,axiom,(
% 7.61/1.33 (! [A] : relation(identity_relation(A)) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f86,axiom,(
% 7.61/1.33 (! [A,B] :( relation(A)=> relation(relation_dom_restriction(A,B)) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f94,axiom,(
% 7.61/1.33 ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f97,axiom,(
% 7.61/1.33 (! [A] : ~ empty(succ(A)) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f101,axiom,(
% 7.61/1.33 (! [A,B] : ~ empty(ordered_pair(A,B)) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f103,axiom,(
% 7.61/1.33 ( 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) ) ),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f106,axiom,(
% 7.61/1.33 (! [A,B] :( ~ empty(A)=> ~ empty(set_union2(A,B)) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f108,axiom,(
% 7.61/1.33 (! [A] :( ordinal(A)=> ( ~ empty(succ(A))& epsilon_transitive(succ(A))& epsilon_connected(succ(A))& ordinal(succ(A)) ) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f113,axiom,(
% 7.61/1.33 (! [A] :( ordinal(A)=> ( epsilon_transitive(union(A))& epsilon_connected(union(A))& ordinal(union(A)) ) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f121,axiom,(
% 7.61/1.33 (! [A,B] : set_union2(A,A) = A )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f127,conjecture,(
% 7.61/1.33 (! [A] :( relation(A)=> ( reflexive(A)<=> (! [B] :( in(B,relation_field(A))=> in(ordered_pair(B,B),A) ) )) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f128,negated_conjecture,(
% 7.61/1.33 ~((! [A] :( relation(A)=> ( reflexive(A)<=> (! [B] :( in(B,relation_field(A))=> in(ordered_pair(B,B),A) ) )) ) ))),
% 7.61/1.33 inference(negated_conjecture,[status(cth)],[f127])).
% 7.61/1.33 fof(f129,lemma,(
% 7.61/1.33 (! [A] : singleton(A) != empty_set )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f142,axiom,(
% 7.61/1.33 (? [A] :( relation(A)& function(A) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f143,axiom,(
% 7.61/1.33 (? [A] :( epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f148,axiom,(
% 7.61/1.33 (? [A] :( relation(A)& function(A)& one_to_one(A)& empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f149,axiom,(
% 7.61/1.33 (? [A] :( ~ empty(A)& relation(A) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f152,axiom,(
% 7.61/1.33 (? [A] :( relation(A)& function(A)& one_to_one(A) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f153,axiom,(
% 7.61/1.33 (? [A] :( ~ empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f154,axiom,(
% 7.61/1.33 (? [A] :( relation(A)& relation_empty_yielding(A) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f155,axiom,(
% 7.61/1.33 (? [A] :( relation(A)& relation_empty_yielding(A)& function(A) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f168,lemma,(
% 7.61/1.33 (! [A,B] :( relation(B)=> subset(relation_rng_restriction(A,B),B) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f173,lemma,(
% 7.61/1.33 (! [A,B] :( subset(A,B)=> set_union2(A,B) = B ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f190,axiom,(
% 7.61/1.33 (! [A] : set_union2(A,empty_set) = A )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f193,lemma,(
% 7.61/1.33 powerset(empty_set) = singleton(empty_set) ),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f200,lemma,(
% 7.61/1.33 (! [A,B] :( ordinal(B)=> ( in(A,B)=> ordinal(A) ) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f208,lemma,(
% 7.61/1.33 (! [A] : subset(empty_set,A) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f209,lemma,(
% 7.61/1.33 (! [A,B,C] :( relation(C)=> ( in(ordered_pair(A,B),C)=> ( in(A,relation_field(C))& in(B,relation_field(C)) ) ) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f210,lemma,(
% 7.61/1.33 (! [A] :( (! [B] :( in(B,A)=> ( ordinal(B)& subset(B,A) ) ))=> ordinal(A) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.33 fof(f225,lemma,(
% 7.61/1.33 (! [A,B,C] :~ ( in(A,B)& in(B,C)& in(C,A) ) )),
% 7.61/1.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.34 fof(f228,lemma,(
% 7.61/1.34 (! [A] :( subset(A,empty_set)=> A = empty_set ) )),
% 7.61/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.34 fof(f253,lemma,(
% 7.61/1.34 ( relation_dom(empty_set) = empty_set& relation_rng(empty_set) = empty_set ) ),
% 7.61/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.34 fof(f265,lemma,(
% 7.61/1.34 (! [A] :( relation_dom(identity_relation(A)) = A& relation_rng(identity_relation(A)) = A ) )),
% 7.61/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.34 fof(f269,axiom,(
% 7.61/1.34 (! [A,B] :~ ( in(A,B)& (! [C] :~ ( in(C,B)& (! [D] :~ ( in(D,B)& in(D,C) ) )) )) )),
% 7.61/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.34 fof(f273,lemma,(
% 7.61/1.34 (! [A,B] :( relation(B)=> subset(relation_dom_restriction(B,A),B) ) )),
% 7.61/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.34 fof(f282,lemma,(
% 7.61/1.34 (! [A] : union(powerset(A)) = A )),
% 7.61/1.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.61/1.34 fof(f285,plain,(
% 7.61/1.34 ![A,B]: (~in(A,B)|~in(B,A))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 7.61/1.34 fof(f286,plain,(
% 7.61/1.34 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f285])).
% 7.61/1.34 fof(f287,plain,(
% 7.61/1.34 ![A,B]: (~proper_subset(A,B)|~proper_subset(B,A))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 7.61/1.34 fof(f288,plain,(
% 7.61/1.34 ![X0,X1]: (~proper_subset(X0,X1)|~proper_subset(X1,X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f287])).
% 7.61/1.34 fof(f300,plain,(
% 7.61/1.34 ![A]: ((~epsilon_transitive(A)|~epsilon_connected(A))|ordinal(A))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 7.61/1.34 fof(f301,plain,(
% 7.61/1.34 ![X0]: (~epsilon_transitive(X0)|~epsilon_connected(X0)|ordinal(X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f300])).
% 7.61/1.34 fof(f307,plain,(
% 7.61/1.34 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f10])).
% 7.61/1.34 fof(f309,plain,(
% 7.61/1.34 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)|ordinal_subset(B,A)))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 7.61/1.34 fof(f310,plain,(
% 7.61/1.34 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|ordinal_subset(X1,X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f309])).
% 7.61/1.34 fof(f311,plain,(
% 7.61/1.34 ![A,B]: (~relation(B)|(B=identity_relation(A)<=>(![C,D]: (in(ordered_pair(C,D),B)<=>(in(C,A)&C=D)))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 7.61/1.34 fof(f312,plain,(
% 7.61/1.34 ![A,B]: (~relation(B)|((~B=identity_relation(A)|(![C,D]: ((~in(ordered_pair(C,D),B)|(in(C,A)&C=D))&(in(ordered_pair(C,D),B)|(~in(C,A)|~C=D)))))&(B=identity_relation(A)|(?[C,D]: ((~in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))&(in(ordered_pair(C,D),B)|(in(C,A)&C=D)))))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f311])).
% 7.61/1.34 fof(f313,plain,(
% 7.61/1.34 ![B]: (~relation(B)|((![A]: (~B=identity_relation(A)|((![C,D]: (~in(ordered_pair(C,D),B)|(in(C,A)&C=D)))&(![C,D]: (in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))))))&(![A]: (B=identity_relation(A)|(?[C,D]: ((~in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))&(in(ordered_pair(C,D),B)|(in(C,A)&C=D))))))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f312])).
% 7.61/1.34 fof(f314,plain,(
% 7.61/1.34 ![B]: (~relation(B)|((![A]: (~B=identity_relation(A)|((![C,D]: (~in(ordered_pair(C,D),B)|(in(C,A)&C=D)))&(![C,D]: (in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))))))&(![A]: (B=identity_relation(A)|((~in(ordered_pair(sk0_0(A,B),sk0_1(A,B)),B)|(~in(sk0_0(A,B),A)|~sk0_0(A,B)=sk0_1(A,B)))&(in(ordered_pair(sk0_0(A,B),sk0_1(A,B)),B)|(in(sk0_0(A,B),A)&sk0_0(A,B)=sk0_1(A,B))))))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f313])).
% 7.61/1.34 fof(f317,plain,(
% 7.61/1.34 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|in(ordered_pair(X2,X3),X0)|~in(X2,X1)|~X2=X3)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f314])).
% 7.61/1.34 fof(f319,plain,(
% 7.61/1.34 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|in(ordered_pair(sk0_0(X1,X0),sk0_1(X1,X0)),X0)|in(sk0_0(X1,X0),X1))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f314])).
% 7.61/1.34 fof(f320,plain,(
% 7.61/1.34 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|in(ordered_pair(sk0_0(X1,X0),sk0_1(X1,X0)),X0)|sk0_0(X1,X0)=sk0_1(X1,X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f314])).
% 7.61/1.34 fof(f326,plain,(
% 7.61/1.34 ![A]: (~relation(A)|(![B,C]: (~relation(C)|(C=relation_dom_restriction(A,B)<=>(![D,E]: (in(ordered_pair(D,E),C)<=>(in(D,B)&in(ordered_pair(D,E),A))))))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 7.61/1.34 fof(f327,plain,(
% 7.61/1.34 ![A]: (~relation(A)|(![B,C]: (~relation(C)|((~C=relation_dom_restriction(A,B)|(![D,E]: ((~in(ordered_pair(D,E),C)|(in(D,B)&in(ordered_pair(D,E),A)))&(in(ordered_pair(D,E),C)|(~in(D,B)|~in(ordered_pair(D,E),A))))))&(C=relation_dom_restriction(A,B)|(?[D,E]: ((~in(ordered_pair(D,E),C)|(~in(D,B)|~in(ordered_pair(D,E),A)))&(in(ordered_pair(D,E),C)|(in(D,B)&in(ordered_pair(D,E),A))))))))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f326])).
% 7.61/1.34 fof(f328,plain,(
% 7.61/1.34 ![A]: (~relation(A)|(![C]: (~relation(C)|((![B]: (~C=relation_dom_restriction(A,B)|((![D,E]: (~in(ordered_pair(D,E),C)|(in(D,B)&in(ordered_pair(D,E),A))))&(![D,E]: (in(ordered_pair(D,E),C)|(~in(D,B)|~in(ordered_pair(D,E),A)))))))&(![B]: (C=relation_dom_restriction(A,B)|(?[D,E]: ((~in(ordered_pair(D,E),C)|(~in(D,B)|~in(ordered_pair(D,E),A)))&(in(ordered_pair(D,E),C)|(in(D,B)&in(ordered_pair(D,E),A)))))))))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f327])).
% 7.61/1.34 fof(f329,plain,(
% 7.61/1.34 ![A]: (~relation(A)|(![C]: (~relation(C)|((![B]: (~C=relation_dom_restriction(A,B)|((![D,E]: (~in(ordered_pair(D,E),C)|(in(D,B)&in(ordered_pair(D,E),A))))&(![D,E]: (in(ordered_pair(D,E),C)|(~in(D,B)|~in(ordered_pair(D,E),A)))))))&(![B]: (C=relation_dom_restriction(A,B)|((~in(ordered_pair(sk0_2(B,C,A),sk0_3(B,C,A)),C)|(~in(sk0_2(B,C,A),B)|~in(ordered_pair(sk0_2(B,C,A),sk0_3(B,C,A)),A)))&(in(ordered_pair(sk0_2(B,C,A),sk0_3(B,C,A)),C)|(in(sk0_2(B,C,A),B)&in(ordered_pair(sk0_2(B,C,A),sk0_3(B,C,A)),A))))))))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f328])).
% 7.61/1.34 fof(f334,plain,(
% 7.61/1.34 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,X1,X0),sk0_3(X2,X1,X0)),X1)|in(sk0_2(X2,X1,X0),X2))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f329])).
% 7.61/1.34 fof(f335,plain,(
% 7.61/1.34 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,X1,X0),sk0_3(X2,X1,X0)),X1)|in(ordered_pair(sk0_2(X2,X1,X0),sk0_3(X2,X1,X0)),X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f329])).
% 7.61/1.34 fof(f346,plain,(
% 7.61/1.34 ![A,B]: (~relation(B)|(![C]: (~relation(C)|(C=relation_rng_restriction(A,B)<=>(![D,E]: (in(ordered_pair(D,E),C)<=>(in(E,A)&in(ordered_pair(D,E),B))))))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 7.61/1.34 fof(f347,plain,(
% 7.61/1.34 ![A,B]: (~relation(B)|(![C]: (~relation(C)|((~C=relation_rng_restriction(A,B)|(![D,E]: ((~in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B)))&(in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B))))))&(C=relation_rng_restriction(A,B)|(?[D,E]: ((~in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B)))&(in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B))))))))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f346])).
% 7.61/1.34 fof(f348,plain,(
% 7.61/1.34 ![B]: (~relation(B)|(![C]: (~relation(C)|((![A]: (~C=relation_rng_restriction(A,B)|((![D,E]: (~in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B))))&(![D,E]: (in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B)))))))&(![A]: (C=relation_rng_restriction(A,B)|(?[D,E]: ((~in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B)))&(in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B)))))))))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f347])).
% 7.61/1.34 fof(f349,plain,(
% 7.61/1.34 ![B]: (~relation(B)|(![C]: (~relation(C)|((![A]: (~C=relation_rng_restriction(A,B)|((![D,E]: (~in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B))))&(![D,E]: (in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B)))))))&(![A]: (C=relation_rng_restriction(A,B)|((~in(ordered_pair(sk0_7(A,C,B),sk0_8(A,C,B)),C)|(~in(sk0_8(A,C,B),A)|~in(ordered_pair(sk0_7(A,C,B),sk0_8(A,C,B)),B)))&(in(ordered_pair(sk0_7(A,C,B),sk0_8(A,C,B)),C)|(in(sk0_8(A,C,B),A)&in(ordered_pair(sk0_7(A,C,B),sk0_8(A,C,B)),B))))))))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f348])).
% 7.61/1.34 fof(f354,plain,(
% 7.61/1.34 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(X2,X0)|in(ordered_pair(sk0_7(X2,X1,X0),sk0_8(X2,X1,X0)),X1)|in(sk0_8(X2,X1,X0),X2))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f349])).
% 7.61/1.34 fof(f356,plain,(
% 7.61/1.34 ![A]: ((~relation(A)|~function(A))|(![B,C]: (C=relation_inverse_image(A,B)<=>(![D]: (in(D,C)<=>(in(D,relation_dom(A))&in(apply(A,D),B)))))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 7.61/1.34 fof(f357,plain,(
% 7.61/1.34 ![A]: ((~relation(A)|~function(A))|(![B,C]: ((~C=relation_inverse_image(A,B)|(![D]: ((~in(D,C)|(in(D,relation_dom(A))&in(apply(A,D),B)))&(in(D,C)|(~in(D,relation_dom(A))|~in(apply(A,D),B))))))&(C=relation_inverse_image(A,B)|(?[D]: ((~in(D,C)|(~in(D,relation_dom(A))|~in(apply(A,D),B)))&(in(D,C)|(in(D,relation_dom(A))&in(apply(A,D),B)))))))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f356])).
% 7.61/1.34 fof(f358,plain,(
% 7.61/1.34 ![A]: ((~relation(A)|~function(A))|((![B,C]: (~C=relation_inverse_image(A,B)|((![D]: (~in(D,C)|(in(D,relation_dom(A))&in(apply(A,D),B))))&(![D]: (in(D,C)|(~in(D,relation_dom(A))|~in(apply(A,D),B)))))))&(![B,C]: (C=relation_inverse_image(A,B)|(?[D]: ((~in(D,C)|(~in(D,relation_dom(A))|~in(apply(A,D),B)))&(in(D,C)|(in(D,relation_dom(A))&in(apply(A,D),B)))))))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f357])).
% 7.61/1.34 fof(f359,plain,(
% 7.61/1.34 ![A]: ((~relation(A)|~function(A))|((![B,C]: (~C=relation_inverse_image(A,B)|((![D]: (~in(D,C)|(in(D,relation_dom(A))&in(apply(A,D),B))))&(![D]: (in(D,C)|(~in(D,relation_dom(A))|~in(apply(A,D),B)))))))&(![B,C]: (C=relation_inverse_image(A,B)|((~in(sk0_9(C,B,A),C)|(~in(sk0_9(C,B,A),relation_dom(A))|~in(apply(A,sk0_9(C,B,A)),B)))&(in(sk0_9(C,B,A),C)|(in(sk0_9(C,B,A),relation_dom(A))&in(apply(A,sk0_9(C,B,A)),B))))))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f358])).
% 7.61/1.34 fof(f360,plain,(
% 7.61/1.34 ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~X1=relation_inverse_image(X0,X2)|~in(X3,X1)|in(X3,relation_dom(X0)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f359])).
% 7.61/1.34 fof(f361,plain,(
% 7.61/1.34 ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~X1=relation_inverse_image(X0,X2)|~in(X3,X1)|in(apply(X0,X3),X2))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f359])).
% 7.61/1.34 fof(f362,plain,(
% 7.61/1.34 ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~X1=relation_inverse_image(X0,X2)|in(X3,X1)|~in(X3,relation_dom(X0))|~in(apply(X0,X3),X2))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f359])).
% 7.61/1.34 fof(f363,plain,(
% 7.61/1.34 ![X0,X1,X2]: (~relation(X0)|~function(X0)|X1=relation_inverse_image(X0,X2)|~in(sk0_9(X1,X2,X0),X1)|~in(sk0_9(X1,X2,X0),relation_dom(X0))|~in(apply(X0,sk0_9(X1,X2,X0)),X2))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f359])).
% 7.61/1.34 fof(f364,plain,(
% 7.61/1.34 ![X0,X1,X2]: (~relation(X0)|~function(X0)|X1=relation_inverse_image(X0,X2)|in(sk0_9(X1,X2,X0),X1)|in(sk0_9(X1,X2,X0),relation_dom(X0)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f359])).
% 7.61/1.34 fof(f365,plain,(
% 7.61/1.34 ![X0,X1,X2]: (~relation(X0)|~function(X0)|X1=relation_inverse_image(X0,X2)|in(sk0_9(X1,X2,X0),X1)|in(apply(X0,sk0_9(X1,X2,X0)),X2))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f359])).
% 7.61/1.34 fof(f366,plain,(
% 7.61/1.34 ![A]: (~relation(A)|(![B,C]: (C=relation_image(A,B)<=>(![D]: (in(D,C)<=>(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 7.61/1.34 fof(f367,plain,(
% 7.61/1.34 ![A]: (~relation(A)|(![B,C]: ((~C=relation_image(A,B)|(![D]: ((~in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))&(in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B)))))))&(C=relation_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f366])).
% 7.61/1.34 fof(f368,plain,(
% 7.61/1.34 ![A]: (~relation(A)|((![B,C]: (~C=relation_image(A,B)|((![D]: (~in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B)))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))))))&(![B,C]: (C=relation_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f367])).
% 7.61/1.34 fof(f369,plain,(
% 7.61/1.34 ![A]: (~relation(A)|((![B,C]: (~C=relation_image(A,B)|((![D]: (~in(D,C)|(in(ordered_pair(sk0_10(D,C,B,A),D),A)&in(sk0_10(D,C,B,A),B))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))))))&(![B,C]: (C=relation_image(A,B)|((~in(sk0_11(C,B,A),C)|(![E]: (~in(ordered_pair(E,sk0_11(C,B,A)),A)|~in(E,B))))&(in(sk0_11(C,B,A),C)|(in(ordered_pair(sk0_12(C,B,A),sk0_11(C,B,A)),A)&in(sk0_12(C,B,A),B))))))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f368])).
% 7.61/1.34 fof(f372,plain,(
% 7.61/1.34 ![X0,X1,X2,X3,X4]: (~relation(X0)|~X1=relation_image(X0,X2)|in(X3,X1)|~in(ordered_pair(X4,X3),X0)|~in(X4,X2))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f369])).
% 7.61/1.34 fof(f373,plain,(
% 7.61/1.34 ![X0,X1,X2,X3]: (~relation(X0)|X1=relation_image(X0,X2)|~in(sk0_11(X1,X2,X0),X1)|~in(ordered_pair(X3,sk0_11(X1,X2,X0)),X0)|~in(X3,X2))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f369])).
% 7.61/1.34 fof(f374,plain,(
% 7.61/1.34 ![X0,X1,X2]: (~relation(X0)|X1=relation_image(X0,X2)|in(sk0_11(X1,X2,X0),X1)|in(ordered_pair(sk0_12(X1,X2,X0),sk0_11(X1,X2,X0)),X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f369])).
% 7.61/1.34 fof(f375,plain,(
% 7.61/1.34 ![X0,X1,X2]: (~relation(X0)|X1=relation_image(X0,X2)|in(sk0_11(X1,X2,X0),X1)|in(sk0_12(X1,X2,X0),X2))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f369])).
% 7.61/1.34 fof(f376,plain,(
% 7.61/1.34 ![A]: (~relation(A)|(![B,C]: (C=relation_inverse_image(A,B)<=>(![D]: (in(D,C)<=>(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 7.61/1.34 fof(f377,plain,(
% 7.61/1.34 ![A]: (~relation(A)|(![B,C]: ((~C=relation_inverse_image(A,B)|(![D]: ((~in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))&(in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B)))))))&(C=relation_inverse_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))))))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f376])).
% 7.61/1.34 fof(f378,plain,(
% 7.61/1.34 ![A]: (~relation(A)|((![B,C]: (~C=relation_inverse_image(A,B)|((![D]: (~in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B)))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))))))&(![B,C]: (C=relation_inverse_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))))))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f377])).
% 7.61/1.34 fof(f379,plain,(
% 7.61/1.34 ![A]: (~relation(A)|((![B,C]: (~C=relation_inverse_image(A,B)|((![D]: (~in(D,C)|(in(ordered_pair(D,sk0_13(D,C,B,A)),A)&in(sk0_13(D,C,B,A),B))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))))))&(![B,C]: (C=relation_inverse_image(A,B)|((~in(sk0_14(C,B,A),C)|(![E]: (~in(ordered_pair(sk0_14(C,B,A),E),A)|~in(E,B))))&(in(sk0_14(C,B,A),C)|(in(ordered_pair(sk0_14(C,B,A),sk0_15(C,B,A)),A)&in(sk0_15(C,B,A),B))))))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f378])).
% 7.61/1.34 fof(f380,plain,(
% 7.61/1.34 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_inverse_image(X0,X2)|~in(X3,X1)|in(ordered_pair(X3,sk0_13(X3,X1,X2,X0)),X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f379])).
% 7.61/1.34 fof(f381,plain,(
% 7.61/1.34 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_inverse_image(X0,X2)|~in(X3,X1)|in(sk0_13(X3,X1,X2,X0),X2))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f379])).
% 7.61/1.34 fof(f383,plain,(
% 7.61/1.34 ![X0,X1,X2,X3]: (~relation(X0)|X1=relation_inverse_image(X0,X2)|~in(sk0_14(X1,X2,X0),X1)|~in(ordered_pair(sk0_14(X1,X2,X0),X3),X0)|~in(X3,X2))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f379])).
% 7.61/1.34 fof(f384,plain,(
% 7.61/1.34 ![X0,X1,X2]: (~relation(X0)|X1=relation_inverse_image(X0,X2)|in(sk0_14(X1,X2,X0),X1)|in(ordered_pair(sk0_14(X1,X2,X0),sk0_15(X1,X2,X0)),X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f379])).
% 7.61/1.34 fof(f385,plain,(
% 7.61/1.34 ![X0,X1,X2]: (~relation(X0)|X1=relation_inverse_image(X0,X2)|in(sk0_14(X1,X2,X0),X1)|in(sk0_15(X1,X2,X0),X2))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f379])).
% 7.61/1.34 fof(f386,plain,(
% 7.61/1.34 ![A,B,C,D]: (D=unordered_triple(A,B,C)<=>(![E]: (in(E,D)<=>((E=A|E=B)|E=C))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 7.61/1.34 fof(f387,plain,(
% 7.61/1.34 ![A,B,C,E]: (pd0_1(E,C,B,A)<=>((E=A|E=B)|E=C))),
% 7.61/1.34 introduced(predicate_definition,[f386])).
% 7.61/1.34 fof(f388,plain,(
% 7.61/1.34 ![A,B,C,D]: (D=unordered_triple(A,B,C)<=>(![E]: (in(E,D)<=>pd0_1(E,C,B,A))))),
% 7.61/1.34 inference(formula_renaming,[status(thm)],[f386,f387])).
% 7.61/1.34 fof(f389,plain,(
% 7.61/1.34 ![A,B,C,D]: ((~D=unordered_triple(A,B,C)|(![E]: ((~in(E,D)|pd0_1(E,C,B,A))&(in(E,D)|~pd0_1(E,C,B,A)))))&(D=unordered_triple(A,B,C)|(?[E]: ((~in(E,D)|~pd0_1(E,C,B,A))&(in(E,D)|pd0_1(E,C,B,A))))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f388])).
% 7.61/1.34 fof(f390,plain,(
% 7.61/1.34 (![A,B,C,D]: (~D=unordered_triple(A,B,C)|((![E]: (~in(E,D)|pd0_1(E,C,B,A)))&(![E]: (in(E,D)|~pd0_1(E,C,B,A))))))&(![A,B,C,D]: (D=unordered_triple(A,B,C)|(?[E]: ((~in(E,D)|~pd0_1(E,C,B,A))&(in(E,D)|pd0_1(E,C,B,A))))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f389])).
% 7.61/1.34 fof(f391,plain,(
% 7.61/1.34 (![A,B,C,D]: (~D=unordered_triple(A,B,C)|((![E]: (~in(E,D)|pd0_1(E,C,B,A)))&(![E]: (in(E,D)|~pd0_1(E,C,B,A))))))&(![A,B,C,D]: (D=unordered_triple(A,B,C)|((~in(sk0_16(D,C,B,A),D)|~pd0_1(sk0_16(D,C,B,A),C,B,A))&(in(sk0_16(D,C,B,A),D)|pd0_1(sk0_16(D,C,B,A),C,B,A)))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f390])).
% 7.61/1.34 fof(f393,plain,(
% 7.61/1.34 ![X0,X1,X2,X3,X4]: (~X0=unordered_triple(X1,X2,X3)|in(X4,X0)|~pd0_1(X4,X3,X2,X1))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f391])).
% 7.61/1.34 fof(f396,plain,(
% 7.61/1.34 ![X0]: (succ(X0)=set_union2(X0,singleton(X0)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f22])).
% 7.61/1.34 fof(f397,plain,(
% 7.61/1.34 ![A]: (relation(A)<=>(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D)))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 7.61/1.34 fof(f398,plain,(
% 7.61/1.34 ![A]: ((~relation(A)|(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D)))))&(relation(A)|(?[B]: (in(B,A)&(![C,D]: ~B=ordered_pair(C,D))))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f397])).
% 7.61/1.34 fof(f399,plain,(
% 7.61/1.34 (![A]: (~relation(A)|(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D))))))&(![A]: (relation(A)|(?[B]: (in(B,A)&(![C,D]: ~B=ordered_pair(C,D))))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f398])).
% 7.61/1.34 fof(f400,plain,(
% 7.61/1.34 (![A]: (~relation(A)|(![B]: (~in(B,A)|B=ordered_pair(sk0_17(B,A),sk0_18(B,A))))))&(![A]: (relation(A)|(in(sk0_19(A),A)&(![C,D]: ~sk0_19(A)=ordered_pair(C,D)))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f399])).
% 7.61/1.34 fof(f401,plain,(
% 7.61/1.34 ![X0,X1]: (~relation(X0)|~in(X1,X0)|X1=ordered_pair(sk0_17(X1,X0),sk0_18(X1,X0)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f400])).
% 7.61/1.34 fof(f402,plain,(
% 7.61/1.34 ![X0]: (relation(X0)|in(sk0_19(X0),X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f400])).
% 7.61/1.34 fof(f404,plain,(
% 7.61/1.34 ![A]: (~relation(A)|(![B]: (is_reflexive_in(A,B)<=>(![C]: (~in(C,B)|in(ordered_pair(C,C),A))))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 7.61/1.34 fof(f405,plain,(
% 7.61/1.34 ![A]: (~relation(A)|(![B]: ((~is_reflexive_in(A,B)|(![C]: (~in(C,B)|in(ordered_pair(C,C),A))))&(is_reflexive_in(A,B)|(?[C]: (in(C,B)&~in(ordered_pair(C,C),A)))))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f404])).
% 7.61/1.34 fof(f406,plain,(
% 7.61/1.34 ![A]: (~relation(A)|((![B]: (~is_reflexive_in(A,B)|(![C]: (~in(C,B)|in(ordered_pair(C,C),A)))))&(![B]: (is_reflexive_in(A,B)|(?[C]: (in(C,B)&~in(ordered_pair(C,C),A)))))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f405])).
% 7.61/1.34 fof(f407,plain,(
% 7.61/1.34 ![A]: (~relation(A)|((![B]: (~is_reflexive_in(A,B)|(![C]: (~in(C,B)|in(ordered_pair(C,C),A)))))&(![B]: (is_reflexive_in(A,B)|(in(sk0_20(B,A),B)&~in(ordered_pair(sk0_20(B,A),sk0_20(B,A)),A))))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f406])).
% 7.61/1.34 fof(f408,plain,(
% 7.61/1.34 ![X0,X1,X2]: (~relation(X0)|~is_reflexive_in(X0,X1)|~in(X2,X1)|in(ordered_pair(X2,X2),X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f407])).
% 7.61/1.34 fof(f409,plain,(
% 7.61/1.34 ![X0,X1]: (~relation(X0)|is_reflexive_in(X0,X1)|in(sk0_20(X1,X0),X1))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f407])).
% 7.61/1.34 fof(f410,plain,(
% 7.61/1.34 ![X0,X1]: (~relation(X0)|is_reflexive_in(X0,X1)|~in(ordered_pair(sk0_20(X1,X0),sk0_20(X1,X0)),X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f407])).
% 7.61/1.34 fof(f411,plain,(
% 7.61/1.34 ![A,B]: ((A=empty_set|(B=set_meet(A)<=>(![C]: (in(C,B)<=>(![D]: (~in(D,A)|in(C,D)))))))&(~A=empty_set|(B=set_meet(A)<=>B=empty_set)))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 7.61/1.34 fof(f412,plain,(
% 7.61/1.34 ![A,B]: ((A=empty_set|((~B=set_meet(A)|(![C]: ((~in(C,B)|(![D]: (~in(D,A)|in(C,D))))&(in(C,B)|(?[D]: (in(D,A)&~in(C,D)))))))&(B=set_meet(A)|(?[C]: ((~in(C,B)|(?[D]: (in(D,A)&~in(C,D))))&(in(C,B)|(![D]: (~in(D,A)|in(C,D)))))))))&(~A=empty_set|((~B=set_meet(A)|B=empty_set)&(B=set_meet(A)|~B=empty_set))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f411])).
% 7.61/1.34 fof(f413,plain,(
% 7.61/1.34 (![A]: (A=empty_set|((![B]: (~B=set_meet(A)|((![C]: (~in(C,B)|(![D]: (~in(D,A)|in(C,D)))))&(![C]: (in(C,B)|(?[D]: (in(D,A)&~in(C,D))))))))&(![B]: (B=set_meet(A)|(?[C]: ((~in(C,B)|(?[D]: (in(D,A)&~in(C,D))))&(in(C,B)|(![D]: (~in(D,A)|in(C,D)))))))))))&(![A]: (~A=empty_set|((![B]: (~B=set_meet(A)|B=empty_set))&(![B]: (B=set_meet(A)|~B=empty_set)))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f412])).
% 7.61/1.34 fof(f414,plain,(
% 7.61/1.34 (![A]: (A=empty_set|((![B]: (~B=set_meet(A)|((![C]: (~in(C,B)|(![D]: (~in(D,A)|in(C,D)))))&(![C]: (in(C,B)|(in(sk0_21(C,B,A),A)&~in(C,sk0_21(C,B,A))))))))&(![B]: (B=set_meet(A)|((~in(sk0_22(B,A),B)|(in(sk0_23(B,A),A)&~in(sk0_22(B,A),sk0_23(B,A))))&(in(sk0_22(B,A),B)|(![D]: (~in(D,A)|in(sk0_22(B,A),D))))))))))&(![A]: (~A=empty_set|((![B]: (~B=set_meet(A)|B=empty_set))&(![B]: (B=set_meet(A)|~B=empty_set)))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f413])).
% 7.61/1.34 fof(f416,plain,(
% 7.61/1.34 ![X0,X1,X2]: (X0=empty_set|~X1=set_meet(X0)|in(X2,X1)|in(sk0_21(X2,X1,X0),X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f414])).
% 7.61/1.34 fof(f420,plain,(
% 7.61/1.34 ![X0,X1,X2]: (X0=empty_set|X1=set_meet(X0)|in(sk0_22(X1,X0),X1)|~in(X2,X0)|in(sk0_22(X1,X0),X2))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f414])).
% 7.61/1.34 fof(f423,plain,(
% 7.61/1.34 ![A,B]: ((~B=singleton(A)|(![C]: ((~in(C,B)|C=A)&(in(C,B)|~C=A))))&(B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f26])).
% 7.61/1.34 fof(f424,plain,(
% 7.61/1.34 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f423])).
% 7.61/1.34 fof(f425,plain,(
% 7.61/1.34 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sk0_24(B,A),B)|~sk0_24(B,A)=A)&(in(sk0_24(B,A),B)|sk0_24(B,A)=A))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f424])).
% 7.61/1.34 fof(f426,plain,(
% 7.61/1.34 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f425])).
% 7.61/1.34 fof(f427,plain,(
% 7.61/1.34 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f425])).
% 7.61/1.34 fof(f430,plain,(
% 7.61/1.34 ![A]: ((~A=empty_set|(![B]: ~in(B,A)))&(A=empty_set|(?[B]: in(B,A))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f27])).
% 7.61/1.34 fof(f431,plain,(
% 7.61/1.34 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|(?[B]: in(B,A))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f430])).
% 7.61/1.34 fof(f432,plain,(
% 7.61/1.34 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|in(sk0_25(A),A)))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f431])).
% 7.61/1.34 fof(f433,plain,(
% 7.61/1.34 ![X0,X1]: (~X0=empty_set|~in(X1,X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f432])).
% 7.61/1.34 fof(f434,plain,(
% 7.61/1.34 ![X0]: (X0=empty_set|in(sk0_25(X0),X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f432])).
% 7.61/1.34 fof(f435,plain,(
% 7.61/1.34 ![A,B]: ((~B=powerset(A)|(![C]: ((~in(C,B)|subset(C,A))&(in(C,B)|~subset(C,A)))))&(B=powerset(A)|(?[C]: ((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f28])).
% 7.61/1.34 fof(f436,plain,(
% 7.61/1.34 (![A,B]: (~B=powerset(A)|((![C]: (~in(C,B)|subset(C,A)))&(![C]: (in(C,B)|~subset(C,A))))))&(![A,B]: (B=powerset(A)|(?[C]: ((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f435])).
% 7.61/1.34 fof(f437,plain,(
% 7.61/1.34 (![A,B]: (~B=powerset(A)|((![C]: (~in(C,B)|subset(C,A)))&(![C]: (in(C,B)|~subset(C,A))))))&(![A,B]: (B=powerset(A)|((~in(sk0_26(B,A),B)|~subset(sk0_26(B,A),A))&(in(sk0_26(B,A),B)|subset(sk0_26(B,A),A)))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f436])).
% 7.61/1.34 fof(f438,plain,(
% 7.61/1.34 ![X0,X1,X2]: (~X0=powerset(X1)|~in(X2,X0)|subset(X2,X1))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f437])).
% 7.61/1.34 fof(f442,plain,(
% 7.61/1.34 ![A]: (epsilon_transitive(A)<=>(![B]: (~in(B,A)|subset(B,A))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 7.61/1.34 fof(f443,plain,(
% 7.61/1.34 ![A]: ((~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A))))&(epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f442])).
% 7.61/1.34 fof(f444,plain,(
% 7.61/1.34 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f443])).
% 7.61/1.34 fof(f445,plain,(
% 7.61/1.34 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(in(sk0_27(A),A)&~subset(sk0_27(A),A))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f444])).
% 7.61/1.34 fof(f447,plain,(
% 7.61/1.34 ![X0]: (epsilon_transitive(X0)|in(sk0_27(X0),X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f445])).
% 7.61/1.34 fof(f491,plain,(
% 7.61/1.34 ![A]: (epsilon_connected(A)<=>(![B,C]: ((((~in(B,A)|~in(C,A))|in(B,C))|B=C)|in(C,B))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 7.61/1.34 fof(f492,plain,(
% 7.61/1.34 ![A]: ((~epsilon_connected(A)|(![B,C]: ((((~in(B,A)|~in(C,A))|in(B,C))|B=C)|in(C,B))))&(epsilon_connected(A)|(?[B,C]: ((((in(B,A)&in(C,A))&~in(B,C))&~B=C)&~in(C,B)))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f491])).
% 7.61/1.34 fof(f493,plain,(
% 7.61/1.34 (![A]: (~epsilon_connected(A)|(![B,C]: ((((~in(B,A)|~in(C,A))|in(B,C))|B=C)|in(C,B)))))&(![A]: (epsilon_connected(A)|(?[B,C]: ((((in(B,A)&in(C,A))&~in(B,C))&~B=C)&~in(C,B)))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f492])).
% 7.61/1.34 fof(f494,plain,(
% 7.61/1.34 (![A]: (~epsilon_connected(A)|(![B,C]: ((((~in(B,A)|~in(C,A))|in(B,C))|B=C)|in(C,B)))))&(![A]: (epsilon_connected(A)|((((in(sk0_37(A),A)&in(sk0_38(A),A))&~in(sk0_37(A),sk0_38(A)))&~sk0_37(A)=sk0_38(A))&~in(sk0_38(A),sk0_37(A)))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f493])).
% 7.61/1.34 fof(f496,plain,(
% 7.61/1.34 ![X0]: (epsilon_connected(X0)|in(sk0_37(X0),X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f494])).
% 7.61/1.34 fof(f497,plain,(
% 7.61/1.34 ![X0]: (epsilon_connected(X0)|in(sk0_38(X0),X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f494])).
% 7.61/1.34 fof(f587,plain,(
% 7.61/1.34 ![A]: (~relation(A)|relation_field(A)=set_union2(relation_dom(A),relation_rng(A)))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 7.61/1.34 fof(f588,plain,(
% 7.61/1.34 ![X0]: (~relation(X0)|relation_field(X0)=set_union2(relation_dom(X0),relation_rng(X0)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f587])).
% 7.61/1.34 fof(f627,plain,(
% 7.61/1.34 ![A,B]: ((~proper_subset(A,B)|(subset(A,B)&~A=B))&(proper_subset(A,B)|(~subset(A,B)|A=B)))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f56])).
% 7.61/1.34 fof(f628,plain,(
% 7.61/1.34 (![A,B]: (~proper_subset(A,B)|(subset(A,B)&~A=B)))&(![A,B]: (proper_subset(A,B)|(~subset(A,B)|A=B)))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f627])).
% 7.61/1.34 fof(f631,plain,(
% 7.61/1.34 ![X0,X1]: (proper_subset(X0,X1)|~subset(X0,X1)|X0=X1)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f628])).
% 7.61/1.34 fof(f634,plain,(
% 7.61/1.34 ![A]: (~relation(A)|(reflexive(A)<=>is_reflexive_in(A,relation_field(A))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 7.61/1.34 fof(f635,plain,(
% 7.61/1.34 ![A]: (~relation(A)|((~reflexive(A)|is_reflexive_in(A,relation_field(A)))&(reflexive(A)|~is_reflexive_in(A,relation_field(A)))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f634])).
% 7.61/1.34 fof(f636,plain,(
% 7.61/1.34 ![X0]: (~relation(X0)|~reflexive(X0)|is_reflexive_in(X0,relation_field(X0)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f635])).
% 7.61/1.34 fof(f637,plain,(
% 7.61/1.34 ![X0]: (~relation(X0)|reflexive(X0)|~is_reflexive_in(X0,relation_field(X0)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f635])).
% 7.61/1.34 fof(f644,plain,(
% 7.61/1.34 ![A]: (~relation(A)|relation(relation_inverse(A)))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f78])).
% 7.61/1.34 fof(f645,plain,(
% 7.61/1.34 ![X0]: (~relation(X0)|relation(relation_inverse(X0)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f644])).
% 7.61/1.34 fof(f650,plain,(
% 7.61/1.34 ![X0]: (relation(identity_relation(X0)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f83])).
% 7.61/1.34 fof(f655,plain,(
% 7.61/1.34 ![A,B]: (~relation(A)|relation(relation_dom_restriction(A,B)))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f86])).
% 7.61/1.34 fof(f656,plain,(
% 7.61/1.34 ![A]: (~relation(A)|(![B]: relation(relation_dom_restriction(A,B))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f655])).
% 7.61/1.34 fof(f657,plain,(
% 7.61/1.34 ![X0,X1]: (~relation(X0)|relation(relation_dom_restriction(X0,X1)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f656])).
% 7.61/1.34 fof(f671,plain,(
% 7.61/1.34 empty(empty_set)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f94])).
% 7.61/1.34 fof(f672,plain,(
% 7.61/1.34 relation(empty_set)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f94])).
% 7.61/1.34 fof(f681,plain,(
% 7.61/1.34 ![X0]: (~empty(succ(X0)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f97])).
% 7.61/1.34 fof(f686,plain,(
% 7.61/1.34 ![X0,X1]: (~empty(ordered_pair(X0,X1)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f101])).
% 7.61/1.34 fof(f692,plain,(
% 7.61/1.34 function(empty_set)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f103])).
% 7.61/1.34 fof(f695,plain,(
% 7.61/1.34 epsilon_transitive(empty_set)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f103])).
% 7.61/1.34 fof(f696,plain,(
% 7.61/1.34 epsilon_connected(empty_set)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f103])).
% 7.61/1.34 fof(f697,plain,(
% 7.61/1.34 ordinal(empty_set)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f103])).
% 7.61/1.34 fof(f701,plain,(
% 7.61/1.34 ![A,B]: (empty(A)|~empty(set_union2(A,B)))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f106])).
% 7.61/1.34 fof(f702,plain,(
% 7.61/1.34 ![A]: (empty(A)|(![B]: ~empty(set_union2(A,B))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f701])).
% 7.61/1.34 fof(f703,plain,(
% 7.61/1.34 ![X0,X1]: (empty(X0)|~empty(set_union2(X0,X1)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f702])).
% 7.61/1.34 fof(f707,plain,(
% 7.61/1.34 ![A]: (~ordinal(A)|(((~empty(succ(A))&epsilon_transitive(succ(A)))&epsilon_connected(succ(A)))&ordinal(succ(A))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f108])).
% 7.61/1.34 fof(f711,plain,(
% 7.61/1.34 ![X0]: (~ordinal(X0)|ordinal(succ(X0)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f707])).
% 7.61/1.34 fof(f722,plain,(
% 7.61/1.34 ![A]: (~ordinal(A)|((epsilon_transitive(union(A))&epsilon_connected(union(A)))&ordinal(union(A))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f113])).
% 7.61/1.34 fof(f724,plain,(
% 7.61/1.34 ![X0]: (~ordinal(X0)|epsilon_connected(union(X0)))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f722])).
% 7.61/1.34 fof(f743,plain,(
% 7.61/1.34 ![A]: set_union2(A,A)=A),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f121])).
% 7.61/1.34 fof(f744,plain,(
% 7.61/1.34 ![X0]: (set_union2(X0,X0)=X0)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f743])).
% 7.61/1.34 fof(f755,plain,(
% 7.61/1.34 (?[A]: (relation(A)&(reflexive(A)<~>(![B]: (~in(B,relation_field(A))|in(ordered_pair(B,B),A))))))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f128])).
% 7.61/1.34 fof(f756,plain,(
% 7.61/1.34 ?[A]: (relation(A)&((reflexive(A)|(![B]: (~in(B,relation_field(A))|in(ordered_pair(B,B),A))))&(~reflexive(A)|(?[B]: (in(B,relation_field(A))&~in(ordered_pair(B,B),A))))))),
% 7.61/1.34 inference(NNF_transformation,[status(esa)],[f755])).
% 7.61/1.34 fof(f757,plain,(
% 7.61/1.34 (relation(sk0_66)&((reflexive(sk0_66)|(![B]: (~in(B,relation_field(sk0_66))|in(ordered_pair(B,B),sk0_66))))&(~reflexive(sk0_66)|(in(sk0_67,relation_field(sk0_66))&~in(ordered_pair(sk0_67,sk0_67),sk0_66)))))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f756])).
% 7.61/1.34 fof(f758,plain,(
% 7.61/1.34 relation(sk0_66)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f757])).
% 7.61/1.34 fof(f759,plain,(
% 7.61/1.34 ![X0]: (reflexive(sk0_66)|~in(X0,relation_field(sk0_66))|in(ordered_pair(X0,X0),sk0_66))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f757])).
% 7.61/1.34 fof(f760,plain,(
% 7.61/1.34 ~reflexive(sk0_66)|in(sk0_67,relation_field(sk0_66))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f757])).
% 7.61/1.34 fof(f761,plain,(
% 7.61/1.34 ~reflexive(sk0_66)|~in(ordered_pair(sk0_67,sk0_67),sk0_66)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f757])).
% 7.61/1.34 fof(f762,plain,(
% 7.61/1.34 ![X0]: (~singleton(X0)=empty_set)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f129])).
% 7.61/1.34 fof(f804,plain,(
% 7.61/1.34 (relation(sk0_69)&function(sk0_69))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f142])).
% 7.61/1.34 fof(f805,plain,(
% 7.61/1.34 relation(sk0_69)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f804])).
% 7.61/1.34 fof(f806,plain,(
% 7.61/1.34 function(sk0_69)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f804])).
% 7.61/1.34 fof(f807,plain,(
% 7.61/1.34 ((epsilon_transitive(sk0_70)&epsilon_connected(sk0_70))&ordinal(sk0_70))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f143])).
% 7.61/1.34 fof(f808,plain,(
% 7.61/1.34 epsilon_transitive(sk0_70)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f807])).
% 7.61/1.34 fof(f809,plain,(
% 7.61/1.34 epsilon_connected(sk0_70)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f807])).
% 7.61/1.34 fof(f824,plain,(
% 7.61/1.34 ((((((relation(sk0_75)&function(sk0_75))&one_to_one(sk0_75))&empty(sk0_75))&epsilon_transitive(sk0_75))&epsilon_connected(sk0_75))&ordinal(sk0_75))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f148])).
% 7.61/1.34 fof(f829,plain,(
% 7.61/1.34 epsilon_transitive(sk0_75)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f824])).
% 7.61/1.34 fof(f830,plain,(
% 7.61/1.34 epsilon_connected(sk0_75)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f824])).
% 7.61/1.34 fof(f832,plain,(
% 7.61/1.34 (~empty(sk0_76)&relation(sk0_76))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f149])).
% 7.61/1.34 fof(f834,plain,(
% 7.61/1.34 relation(sk0_76)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f832])).
% 7.61/1.34 fof(f840,plain,(
% 7.61/1.34 ((relation(sk0_79)&function(sk0_79))&one_to_one(sk0_79))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f152])).
% 7.61/1.34 fof(f841,plain,(
% 7.61/1.34 relation(sk0_79)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f840])).
% 7.61/1.34 fof(f842,plain,(
% 7.61/1.34 function(sk0_79)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f840])).
% 7.61/1.34 fof(f844,plain,(
% 7.61/1.34 (((~empty(sk0_80)&epsilon_transitive(sk0_80))&epsilon_connected(sk0_80))&ordinal(sk0_80))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f153])).
% 7.61/1.34 fof(f845,plain,(
% 7.61/1.34 ~empty(sk0_80)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f844])).
% 7.61/1.34 fof(f846,plain,(
% 7.61/1.34 epsilon_transitive(sk0_80)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f844])).
% 7.61/1.34 fof(f847,plain,(
% 7.61/1.34 epsilon_connected(sk0_80)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f844])).
% 7.61/1.34 fof(f848,plain,(
% 7.61/1.34 ordinal(sk0_80)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f844])).
% 7.61/1.34 fof(f849,plain,(
% 7.61/1.34 (relation(sk0_81)&relation_empty_yielding(sk0_81))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f154])).
% 7.61/1.34 fof(f850,plain,(
% 7.61/1.34 relation(sk0_81)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f849])).
% 7.61/1.34 fof(f852,plain,(
% 7.61/1.34 ((relation(sk0_82)&relation_empty_yielding(sk0_82))&function(sk0_82))),
% 7.61/1.34 inference(skolemization,[status(esa)],[f155])).
% 7.61/1.34 fof(f853,plain,(
% 7.61/1.34 relation(sk0_82)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f852])).
% 7.61/1.34 fof(f855,plain,(
% 7.61/1.34 function(sk0_82)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f852])).
% 7.61/1.34 fof(f891,plain,(
% 7.61/1.34 ![A,B]: (~relation(B)|subset(relation_rng_restriction(A,B),B))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f168])).
% 7.61/1.34 fof(f892,plain,(
% 7.61/1.34 ![B]: (~relation(B)|(![A]: subset(relation_rng_restriction(A,B),B)))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f891])).
% 7.61/1.34 fof(f893,plain,(
% 7.61/1.34 ![X0,X1]: (~relation(X0)|subset(relation_rng_restriction(X1,X0),X0))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f892])).
% 7.61/1.34 fof(f906,plain,(
% 7.61/1.34 ![A,B]: (~subset(A,B)|set_union2(A,B)=B)),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f173])).
% 7.61/1.34 fof(f907,plain,(
% 7.61/1.34 ![X0,X1]: (~subset(X0,X1)|set_union2(X0,X1)=X1)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f906])).
% 7.61/1.34 fof(f965,plain,(
% 7.61/1.34 ![X0]: (set_union2(X0,empty_set)=X0)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f190])).
% 7.61/1.34 fof(f971,plain,(
% 7.61/1.34 powerset(empty_set)=singleton(empty_set)),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f193])).
% 7.61/1.34 fof(f992,plain,(
% 7.61/1.34 ![A,B]: (~ordinal(B)|(~in(A,B)|ordinal(A)))),
% 7.61/1.34 inference(pre_NNF_transformation,[status(esa)],[f200])).
% 7.61/1.34 fof(f993,plain,(
% 7.61/1.34 ![B]: (~ordinal(B)|(![A]: (~in(A,B)|ordinal(A))))),
% 7.61/1.34 inference(miniscoping,[status(esa)],[f992])).
% 7.61/1.34 fof(f994,plain,(
% 7.61/1.34 ![X0,X1]: (~ordinal(X0)|~in(X1,X0)|ordinal(X1))),
% 7.61/1.34 inference(cnf_transformation,[status(esa)],[f993])).
% 7.61/1.34 fof(f1013,plain,(
% 7.86/1.34 ![X0]: (subset(empty_set,X0))),
% 7.86/1.34 inference(cnf_transformation,[status(esa)],[f208])).
% 7.86/1.34 fof(f1014,plain,(
% 7.86/1.34 ![A,B,C]: (~relation(C)|(~in(ordered_pair(A,B),C)|(in(A,relation_field(C))&in(B,relation_field(C)))))),
% 7.86/1.34 inference(pre_NNF_transformation,[status(esa)],[f209])).
% 7.86/1.34 fof(f1015,plain,(
% 7.86/1.34 ![C]: (~relation(C)|(![A,B]: (~in(ordered_pair(A,B),C)|(in(A,relation_field(C))&in(B,relation_field(C))))))),
% 7.86/1.34 inference(miniscoping,[status(esa)],[f1014])).
% 7.86/1.34 fof(f1016,plain,(
% 7.86/1.34 ![X0,X1,X2]: (~relation(X0)|~in(ordered_pair(X1,X2),X0)|in(X1,relation_field(X0)))),
% 7.86/1.34 inference(cnf_transformation,[status(esa)],[f1015])).
% 7.86/1.34 fof(f1017,plain,(
% 7.86/1.34 ![X0,X1,X2]: (~relation(X0)|~in(ordered_pair(X1,X2),X0)|in(X2,relation_field(X0)))),
% 7.86/1.34 inference(cnf_transformation,[status(esa)],[f1015])).
% 7.86/1.34 fof(f1018,plain,(
% 7.86/1.34 ![A]: ((?[B]: (in(B,A)&(~ordinal(B)|~subset(B,A))))|ordinal(A))),
% 7.86/1.34 inference(pre_NNF_transformation,[status(esa)],[f210])).
% 7.86/1.34 fof(f1019,plain,(
% 7.86/1.34 ![A]: ((in(sk0_87(A),A)&(~ordinal(sk0_87(A))|~subset(sk0_87(A),A)))|ordinal(A))),
% 7.86/1.34 inference(skolemization,[status(esa)],[f1018])).
% 7.86/1.34 fof(f1020,plain,(
% 7.86/1.34 ![X0]: (in(sk0_87(X0),X0)|ordinal(X0))),
% 7.86/1.34 inference(cnf_transformation,[status(esa)],[f1019])).
% 7.86/1.34 fof(f1072,plain,(
% 7.86/1.34 ![A,B,C]: ((~in(A,B)|~in(B,C))|~in(C,A))),
% 7.86/1.34 inference(pre_NNF_transformation,[status(esa)],[f225])).
% 7.86/1.34 fof(f1073,plain,(
% 7.86/1.34 ![A,C]: ((![B]: (~in(A,B)|~in(B,C)))|~in(C,A))),
% 7.86/1.34 inference(miniscoping,[status(esa)],[f1072])).
% 7.86/1.34 fof(f1074,plain,(
% 7.86/1.34 ![X0,X1,X2]: (~in(X0,X1)|~in(X1,X2)|~in(X2,X0))),
% 7.86/1.34 inference(cnf_transformation,[status(esa)],[f1073])).
% 7.86/1.34 fof(f1085,plain,(
% 7.86/1.34 ![A]: (~subset(A,empty_set)|A=empty_set)),
% 7.86/1.34 inference(pre_NNF_transformation,[status(esa)],[f228])).
% 7.86/1.34 fof(f1086,plain,(
% 7.86/1.34 ![X0]: (~subset(X0,empty_set)|X0=empty_set)),
% 7.86/1.34 inference(cnf_transformation,[status(esa)],[f1085])).
% 7.86/1.34 fof(f1163,plain,(
% 7.86/1.34 relation_dom(empty_set)=empty_set),
% 7.86/1.34 inference(cnf_transformation,[status(esa)],[f253])).
% 7.86/1.34 fof(f1164,plain,(
% 7.86/1.34 relation_rng(empty_set)=empty_set),
% 7.86/1.34 inference(cnf_transformation,[status(esa)],[f253])).
% 7.86/1.34 fof(f1199,plain,(
% 7.86/1.34 (![A]: relation_dom(identity_relation(A))=A)&(![A]: relation_rng(identity_relation(A))=A)),
% 7.86/1.34 inference(miniscoping,[status(esa)],[f265])).
% 7.86/1.34 fof(f1200,plain,(
% 7.86/1.34 ![X0]: (relation_dom(identity_relation(X0))=X0)),
% 7.86/1.34 inference(cnf_transformation,[status(esa)],[f1199])).
% 7.86/1.34 fof(f1201,plain,(
% 7.86/1.34 ![X0]: (relation_rng(identity_relation(X0))=X0)),
% 7.86/1.34 inference(cnf_transformation,[status(esa)],[f1199])).
% 7.86/1.34 fof(f1214,plain,(
% 7.86/1.34 ![A,B]: (~in(A,B)|(?[C]: (in(C,B)&(![D]: (~in(D,B)|~in(D,C))))))),
% 7.86/1.34 inference(pre_NNF_transformation,[status(esa)],[f269])).
% 7.86/1.34 fof(f1215,plain,(
% 7.86/1.34 ![B]: ((![A]: ~in(A,B))|(?[C]: (in(C,B)&(![D]: (~in(D,B)|~in(D,C))))))),
% 7.86/1.34 inference(miniscoping,[status(esa)],[f1214])).
% 7.86/1.34 fof(f1216,plain,(
% 7.86/1.34 ![B]: ((![A]: ~in(A,B))|(in(sk0_101(B),B)&(![D]: (~in(D,B)|~in(D,sk0_101(B))))))),
% 7.86/1.34 inference(skolemization,[status(esa)],[f1215])).
% 7.86/1.34 fof(f1217,plain,(
% 7.86/1.34 ![X0,X1]: (~in(X0,X1)|in(sk0_101(X1),X1))),
% 7.86/1.34 inference(cnf_transformation,[status(esa)],[f1216])).
% 7.86/1.34 fof(f1230,plain,(
% 7.86/1.34 ![A,B]: (~relation(B)|subset(relation_dom_restriction(B,A),B))),
% 7.86/1.34 inference(pre_NNF_transformation,[status(esa)],[f273])).
% 7.86/1.34 fof(f1231,plain,(
% 7.86/1.34 ![B]: (~relation(B)|(![A]: subset(relation_dom_restriction(B,A),B)))),
% 7.86/1.34 inference(miniscoping,[status(esa)],[f1230])).
% 7.86/1.34 fof(f1232,plain,(
% 7.86/1.34 ![X0,X1]: (~relation(X0)|subset(relation_dom_restriction(X0,X1),X0))),
% 7.86/1.34 inference(cnf_transformation,[status(esa)],[f1231])).
% 7.86/1.34 fof(f1258,plain,(
% 7.86/1.34 ![X0]: (union(powerset(X0))=X0)),
% 7.86/1.34 inference(cnf_transformation,[status(esa)],[f282])).
% 7.86/1.34 fof(f1276,plain,(
% 7.86/1.34 ![A,B,C,E]: ((~pd0_1(E,C,B,A)|((E=A|E=B)|E=C))&(pd0_1(E,C,B,A)|((~E=A&~E=B)&~E=C)))),
% 7.86/1.34 inference(NNF_transformation,[status(esa)],[f387])).
% 7.86/1.34 fof(f1277,plain,(
% 7.86/1.34 (![A,B,C,E]: (~pd0_1(E,C,B,A)|((E=A|E=B)|E=C)))&(![A,B,C,E]: (pd0_1(E,C,B,A)|((~E=A&~E=B)&~E=C)))),
% 7.86/1.34 inference(miniscoping,[status(esa)],[f1276])).
% 7.86/1.34 fof(f1279,plain,(
% 7.86/1.34 ![X0,X1,X2,X3]: (pd0_1(X0,X1,X2,X3)|~X0=X3)),
% 7.86/1.34 inference(cnf_transformation,[status(esa)],[f1277])).
% 7.86/1.34 fof(f1295,plain,(
% 7.86/1.34 spl0_0 <=> reflexive(sk0_66)),
% 7.86/1.34 introduced(split_symbol_definition)).
% 7.86/1.34 fof(f1296,plain,(
% 7.86/1.34 reflexive(sk0_66)|~spl0_0),
% 7.86/1.34 inference(component_clause,[status(thm)],[f1295])).
% 7.86/1.34 fof(f1298,plain,(
% 7.86/1.34 spl0_1 <=> ~in(X0,relation_field(sk0_66))|in(ordered_pair(X0,X0),sk0_66)),
% 7.86/1.34 introduced(split_symbol_definition)).
% 7.86/1.34 fof(f1299,plain,(
% 7.86/1.34 ![X0]: (~in(X0,relation_field(sk0_66))|in(ordered_pair(X0,X0),sk0_66)|~spl0_1)),
% 7.86/1.34 inference(component_clause,[status(thm)],[f1298])).
% 7.86/1.34 fof(f1301,plain,(
% 7.86/1.34 spl0_0|spl0_1),
% 7.86/1.34 inference(split_clause,[status(thm)],[f759,f1295,f1298])).
% 7.86/1.34 fof(f1302,plain,(
% 7.86/1.34 spl0_2 <=> in(sk0_67,relation_field(sk0_66))),
% 7.86/1.34 introduced(split_symbol_definition)).
% 7.86/1.34 fof(f1303,plain,(
% 7.86/1.34 in(sk0_67,relation_field(sk0_66))|~spl0_2),
% 7.86/1.34 inference(component_clause,[status(thm)],[f1302])).
% 7.86/1.34 fof(f1305,plain,(
% 7.86/1.34 ~spl0_0|spl0_2),
% 7.86/1.34 inference(split_clause,[status(thm)],[f760,f1295,f1302])).
% 7.86/1.34 fof(f1306,plain,(
% 7.86/1.34 spl0_3 <=> in(ordered_pair(sk0_67,sk0_67),sk0_66)),
% 7.86/1.34 introduced(split_symbol_definition)).
% 7.86/1.34 fof(f1308,plain,(
% 7.86/1.34 ~in(ordered_pair(sk0_67,sk0_67),sk0_66)|spl0_3),
% 7.86/1.34 inference(component_clause,[status(thm)],[f1306])).
% 7.86/1.34 fof(f1309,plain,(
% 7.86/1.34 ~spl0_0|~spl0_3),
% 7.86/1.34 inference(split_clause,[status(thm)],[f761,f1295,f1306])).
% 7.86/1.34 fof(f1319,plain,(
% 7.86/1.34 ![X0,X1]: (~relation(identity_relation(X0))|in(ordered_pair(X1,X1),identity_relation(X0))|~in(X1,X0))),
% 7.86/1.34 inference(destructive_equality_resolution,[status(esa)],[f317])).
% 7.86/1.34 fof(f1330,plain,(
% 7.86/1.34 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~in(X1,relation_inverse_image(X0,X2))|in(X1,relation_dom(X0)))),
% 7.86/1.34 inference(destructive_equality_resolution,[status(esa)],[f360])).
% 7.86/1.34 fof(f1331,plain,(
% 7.86/1.34 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~in(X1,relation_inverse_image(X0,X2))|in(apply(X0,X1),X2))),
% 7.86/1.34 inference(destructive_equality_resolution,[status(esa)],[f361])).
% 7.86/1.34 fof(f1332,plain,(
% 7.86/1.34 ![X0,X1,X2]: (~relation(X0)|~function(X0)|in(X1,relation_inverse_image(X0,X2))|~in(X1,relation_dom(X0))|~in(apply(X0,X1),X2))),
% 7.86/1.34 inference(destructive_equality_resolution,[status(esa)],[f362])).
% 7.86/1.34 fof(f1335,plain,(
% 7.86/1.34 ![X0,X1,X2,X3]: (~relation(X0)|in(X1,relation_image(X0,X2))|~in(ordered_pair(X3,X1),X0)|~in(X3,X2))),
% 7.86/1.34 inference(destructive_equality_resolution,[status(esa)],[f372])).
% 7.86/1.34 fof(f1336,plain,(
% 7.86/1.34 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_inverse_image(X0,X2))|in(ordered_pair(X1,sk0_13(X1,relation_inverse_image(X0,X2),X2,X0)),X0))),
% 7.86/1.34 inference(destructive_equality_resolution,[status(esa)],[f380])).
% 7.86/1.34 fof(f1337,plain,(
% 7.86/1.34 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_inverse_image(X0,X2))|in(sk0_13(X1,relation_inverse_image(X0,X2),X2,X0),X2))),
% 7.86/1.34 inference(destructive_equality_resolution,[status(esa)],[f381])).
% 7.86/1.34 fof(f1340,plain,(
% 7.86/1.34 ![X0,X1,X2,X3]: (in(X0,unordered_triple(X1,X2,X3))|~pd0_1(X0,X3,X2,X1))),
% 7.86/1.34 inference(destructive_equality_resolution,[status(esa)],[f393])).
% 7.86/1.34 fof(f1342,plain,(
% 7.86/1.34 ![X0,X1]: (X0=empty_set|in(X1,set_meet(X0))|in(sk0_21(X1,set_meet(X0),X0),X0))),
% 7.86/1.34 inference(destructive_equality_resolution,[status(esa)],[f416])).
% 7.86/1.34 fof(f1346,plain,(
% 7.86/1.34 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 7.86/1.34 inference(destructive_equality_resolution,[status(esa)],[f426])).
% 7.86/1.34 fof(f1347,plain,(
% 7.86/1.34 ![X0]: (in(X0,singleton(X0)))),
% 7.86/1.34 inference(destructive_equality_resolution,[status(esa)],[f427])).
% 7.86/1.34 fof(f1348,plain,(
% 7.86/1.34 ![X0]: (~in(X0,empty_set))),
% 7.86/1.34 inference(destructive_equality_resolution,[status(esa)],[f433])).
% 7.86/1.34 fof(f1349,plain,(
% 7.86/1.34 ![X0,X1]: (~in(X0,powerset(X1))|subset(X0,X1))),
% 7.86/1.34 inference(destructive_equality_resolution,[status(esa)],[f438])).
% 7.86/1.34 fof(f1403,plain,(
% 7.86/1.34 ![X0,X1,X2]: (pd0_1(X0,X1,X2,X0))),
% 7.86/1.34 inference(destructive_equality_resolution,[status(esa)],[f1279])).
% 7.86/1.34 fof(f1410,plain,(
% 7.86/1.34 relation_field(sk0_66)=set_union2(relation_dom(sk0_66),relation_rng(sk0_66))),
% 7.86/1.34 inference(resolution,[status(thm)],[f588,f758])).
% 7.86/1.34 fof(f1411,plain,(
% 7.86/1.34 relation_field(empty_set)=set_union2(relation_dom(empty_set),relation_rng(empty_set))),
% 7.86/1.34 inference(resolution,[status(thm)],[f672,f588])).
% 7.86/1.34 fof(f1425,plain,(
% 7.86/1.34 spl0_6 <=> epsilon_transitive(sk0_75)),
% 7.86/1.34 introduced(split_symbol_definition)).
% 7.86/1.34 fof(f1427,plain,(
% 7.86/1.34 ~epsilon_transitive(sk0_75)|spl0_6),
% 7.86/1.34 inference(component_clause,[status(thm)],[f1425])).
% 7.86/1.34 fof(f1428,plain,(
% 7.86/1.34 spl0_7 <=> ordinal(sk0_75)),
% 7.86/1.34 introduced(split_symbol_definition)).
% 7.86/1.34 fof(f1431,plain,(
% 7.86/1.34 ~epsilon_transitive(sk0_75)|ordinal(sk0_75)),
% 7.86/1.34 inference(resolution,[status(thm)],[f301,f830])).
% 7.86/1.34 fof(f1432,plain,(
% 7.86/1.34 ~spl0_6|spl0_7),
% 7.86/1.34 inference(split_clause,[status(thm)],[f1431,f1425,f1428])).
% 7.86/1.34 fof(f1433,plain,(
% 7.86/1.34 spl0_8 <=> epsilon_transitive(sk0_70)),
% 7.86/1.34 introduced(split_symbol_definition)).
% 7.86/1.34 fof(f1435,plain,(
% 7.86/1.34 ~epsilon_transitive(sk0_70)|spl0_8),
% 7.86/1.34 inference(component_clause,[status(thm)],[f1433])).
% 7.86/1.34 fof(f1436,plain,(
% 7.86/1.34 spl0_9 <=> ordinal(sk0_70)),
% 7.86/1.34 introduced(split_symbol_definition)).
% 7.86/1.34 fof(f1439,plain,(
% 7.86/1.34 ~epsilon_transitive(sk0_70)|ordinal(sk0_70)),
% 7.86/1.34 inference(resolution,[status(thm)],[f301,f809])).
% 7.86/1.34 fof(f1440,plain,(
% 7.86/1.34 ~spl0_8|spl0_9),
% 7.86/1.34 inference(split_clause,[status(thm)],[f1439,f1433,f1436])).
% 7.86/1.34 fof(f1441,plain,(
% 7.86/1.34 spl0_10 <=> epsilon_transitive(empty_set)),
% 7.86/1.34 introduced(split_symbol_definition)).
% 7.86/1.34 fof(f1443,plain,(
% 7.86/1.34 ~epsilon_transitive(empty_set)|spl0_10),
% 7.86/1.34 inference(component_clause,[status(thm)],[f1441])).
% 7.86/1.34 fof(f1444,plain,(
% 7.86/1.34 spl0_11 <=> ordinal(empty_set)),
% 7.86/1.34 introduced(split_symbol_definition)).
% 7.86/1.34 fof(f1447,plain,(
% 7.86/1.34 ~epsilon_transitive(empty_set)|ordinal(empty_set)),
% 7.86/1.34 inference(resolution,[status(thm)],[f301,f696])).
% 7.86/1.34 fof(f1448,plain,(
% 7.86/1.34 ~spl0_10|spl0_11),
% 7.86/1.34 inference(split_clause,[status(thm)],[f1447,f1441,f1444])).
% 7.86/1.34 fof(f1449,plain,(
% 7.86/1.34 $false|spl0_10),
% 7.86/1.34 inference(forward_subsumption_resolution,[status(thm)],[f1443,f695])).
% 7.86/1.34 fof(f1450,plain,(
% 7.86/1.34 spl0_10),
% 7.86/1.34 inference(contradiction_clause,[status(thm)],[f1449])).
% 7.86/1.34 fof(f1451,plain,(
% 7.86/1.34 $false|spl0_8),
% 7.86/1.34 inference(forward_subsumption_resolution,[status(thm)],[f1435,f808])).
% 7.86/1.34 fof(f1452,plain,(
% 7.86/1.34 spl0_8),
% 7.86/1.34 inference(contradiction_clause,[status(thm)],[f1451])).
% 7.86/1.34 fof(f1453,plain,(
% 7.86/1.34 $false|spl0_6),
% 7.86/1.34 inference(forward_subsumption_resolution,[status(thm)],[f1427,f829])).
% 7.86/1.34 fof(f1454,plain,(
% 7.86/1.34 spl0_6),
% 7.86/1.34 inference(contradiction_clause,[status(thm)],[f1453])).
% 7.86/1.34 fof(f1455,plain,(
% 7.86/1.34 spl0_12 <=> epsilon_transitive(sk0_80)),
% 7.86/1.34 introduced(split_symbol_definition)).
% 7.86/1.34 fof(f1457,plain,(
% 7.86/1.34 ~epsilon_transitive(sk0_80)|spl0_12),
% 7.86/1.34 inference(component_clause,[status(thm)],[f1455])).
% 7.86/1.34 fof(f1458,plain,(
% 7.86/1.34 spl0_13 <=> ordinal(sk0_80)),
% 7.86/1.34 introduced(split_symbol_definition)).
% 7.86/1.34 fof(f1461,plain,(
% 7.86/1.34 ~epsilon_transitive(sk0_80)|ordinal(sk0_80)),
% 7.86/1.34 inference(resolution,[status(thm)],[f847,f301])).
% 7.86/1.34 fof(f1462,plain,(
% 7.86/1.34 ~spl0_12|spl0_13),
% 7.86/1.34 inference(split_clause,[status(thm)],[f1461,f1455,f1458])).
% 7.86/1.34 fof(f1463,plain,(
% 7.86/1.34 $false|spl0_12),
% 7.86/1.34 inference(forward_subsumption_resolution,[status(thm)],[f1457,f846])).
% 7.86/1.34 fof(f1464,plain,(
% 7.86/1.34 spl0_12),
% 7.86/1.34 inference(contradiction_clause,[status(thm)],[f1463])).
% 7.86/1.34 fof(f1469,plain,(
% 7.86/1.34 ![X0]: (relation_field(identity_relation(X0))=set_union2(relation_dom(identity_relation(X0)),relation_rng(identity_relation(X0))))),
% 7.86/1.34 inference(resolution,[status(thm)],[f650,f588])).
% 7.86/1.34 fof(f1473,plain,(
% 7.86/1.34 ![X0,X1]: (~in(singleton(X0),X1)|~in(X1,X0))),
% 7.86/1.34 inference(resolution,[status(thm)],[f1347,f1074])).
% 7.86/1.34 fof(f1476,plain,(
% 7.86/1.34 spl0_14 <=> relation(sk0_66)),
% 7.86/1.34 introduced(split_symbol_definition)).
% 7.86/1.34 fof(f1478,plain,(
% 7.86/1.34 ~relation(sk0_66)|spl0_14),
% 7.86/1.34 inference(component_clause,[status(thm)],[f1476])).
% 7.86/1.34 fof(f1479,plain,(
% 7.86/1.34 spl0_15 <=> is_reflexive_in(sk0_66,relation_field(sk0_66))),
% 7.86/1.34 introduced(split_symbol_definition)).
% 7.86/1.34 fof(f1480,plain,(
% 7.86/1.34 is_reflexive_in(sk0_66,relation_field(sk0_66))|~spl0_15),
% 7.86/1.34 inference(component_clause,[status(thm)],[f1479])).
% 7.86/1.34 fof(f1482,plain,(
% 7.86/1.34 ~relation(sk0_66)|is_reflexive_in(sk0_66,relation_field(sk0_66))|~spl0_0),
% 7.86/1.34 inference(resolution,[status(thm)],[f1296,f636])).
% 7.86/1.34 fof(f1483,plain,(
% 7.86/1.34 ~spl0_14|spl0_15|~spl0_0),
% 7.86/1.34 inference(split_clause,[status(thm)],[f1482,f1476,f1479,f1295])).
% 7.86/1.34 fof(f1484,plain,(
% 7.86/1.34 $false|spl0_14),
% 7.86/1.34 inference(forward_subsumption_resolution,[status(thm)],[f1478,f758])).
% 7.86/1.34 fof(f1485,plain,(
% 7.86/1.34 spl0_14),
% 7.86/1.34 inference(contradiction_clause,[status(thm)],[f1484])).
% 7.86/1.34 fof(f1519,plain,(
% 7.86/1.34 ![X0]: (set_union2(empty_set,X0)=X0)),
% 7.86/1.34 inference(paramodulation,[status(thm)],[f307,f965])).
% 7.86/1.34 fof(f1524,plain,(
% 7.86/1.34 relation_field(empty_set)=set_union2(empty_set,relation_rng(empty_set))),
% 7.86/1.34 inference(backward_demodulation,[status(thm)],[f1163,f1411])).
% 7.86/1.35 fof(f1525,plain,(
% 7.86/1.35 relation_field(empty_set)=set_union2(empty_set,empty_set)),
% 7.86/1.35 inference(backward_demodulation,[status(thm)],[f1164,f1524])).
% 7.86/1.35 fof(f1526,plain,(
% 7.86/1.35 relation_field(empty_set)=empty_set),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f965,f1525])).
% 7.86/1.35 fof(f1527,plain,(
% 7.86/1.35 spl0_16 <=> relation(empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f1529,plain,(
% 7.86/1.35 ~relation(empty_set)|spl0_16),
% 7.86/1.35 inference(component_clause,[status(thm)],[f1527])).
% 7.86/1.35 fof(f1580,plain,(
% 7.86/1.35 ![X0,X1]: (in(ordered_pair(X0,X0),identity_relation(X1))|~in(X0,X1))),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f1319,f650])).
% 7.86/1.35 fof(f1592,plain,(
% 7.86/1.35 ![X0]: (relation_field(identity_relation(X0))=set_union2(X0,relation_rng(identity_relation(X0))))),
% 7.86/1.35 inference(backward_demodulation,[status(thm)],[f1200,f1469])).
% 7.86/1.35 fof(f1625,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|in(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),sk0_66)|in(sk0_0(X0,sk0_66),X0))),
% 7.86/1.35 inference(resolution,[status(thm)],[f319,f758])).
% 7.86/1.35 fof(f1636,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|in(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),sk0_66)|sk0_0(X0,sk0_66)=sk0_1(X0,sk0_66))),
% 7.86/1.35 inference(resolution,[status(thm)],[f320,f758])).
% 7.86/1.35 fof(f1639,plain,(
% 7.86/1.35 spl0_19 <=> sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|in(sk0_1(X0,sk0_66),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f1640,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|in(sk0_1(X0,sk0_66),relation_field(sk0_66))|~spl0_19)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f1639])).
% 7.86/1.35 fof(f1642,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|~relation(sk0_66)|in(sk0_1(X0,sk0_66),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1625,f1017])).
% 7.86/1.35 fof(f1643,plain,(
% 7.86/1.35 spl0_19|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f1642,f1639,f1476])).
% 7.86/1.35 fof(f1644,plain,(
% 7.86/1.35 spl0_20 <=> sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|in(sk0_0(X0,sk0_66),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f1645,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|in(sk0_0(X0,sk0_66),relation_field(sk0_66))|~spl0_20)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f1644])).
% 7.86/1.35 fof(f1647,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|~relation(sk0_66)|in(sk0_0(X0,sk0_66),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1625,f1016])).
% 7.86/1.35 fof(f1648,plain,(
% 7.86/1.35 spl0_20|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f1647,f1644,f1476])).
% 7.86/1.35 fof(f1649,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|in(ordered_pair(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66))),identity_relation(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1625,f1580])).
% 7.86/1.35 fof(f1650,plain,(
% 7.86/1.35 ![X0,X1]: (sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|~in(sk0_66,X1)|~in(X1,ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66))))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1625,f1074])).
% 7.86/1.35 fof(f1652,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|~in(sk0_66,ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66))))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1625,f286])).
% 7.86/1.35 fof(f1664,plain,(
% 7.86/1.35 spl0_24 <=> sk0_66=identity_relation(empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f1665,plain,(
% 7.86/1.35 sk0_66=identity_relation(empty_set)|~spl0_24),
% 7.86/1.35 inference(component_clause,[status(thm)],[f1664])).
% 7.86/1.35 fof(f1666,plain,(
% 7.86/1.35 ~sk0_66=identity_relation(empty_set)|spl0_24),
% 7.86/1.35 inference(component_clause,[status(thm)],[f1664])).
% 7.86/1.35 fof(f1667,plain,(
% 7.86/1.35 spl0_25 <=> in(sk0_1(empty_set,sk0_66),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f1670,plain,(
% 7.86/1.35 sk0_66=identity_relation(empty_set)|in(sk0_1(empty_set,sk0_66),relation_field(sk0_66))|~spl0_19),
% 7.86/1.35 inference(resolution,[status(thm)],[f1640,f1348])).
% 7.86/1.35 fof(f1671,plain,(
% 7.86/1.35 spl0_24|spl0_25|~spl0_19),
% 7.86/1.35 inference(split_clause,[status(thm)],[f1670,f1664,f1667,f1639])).
% 7.86/1.35 fof(f1677,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|in(ordered_pair(sk0_1(X0,sk0_66),sk0_1(X0,sk0_66)),identity_relation(relation_field(sk0_66)))|~spl0_19)),
% 7.86/1.35 inference(resolution,[status(thm)],[f1640,f1580])).
% 7.86/1.35 fof(f1681,plain,(
% 7.86/1.35 $false|spl0_16),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f1529,f672])).
% 7.86/1.35 fof(f1682,plain,(
% 7.86/1.35 spl0_16),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f1681])).
% 7.86/1.35 fof(f1683,plain,(
% 7.86/1.35 relation_rng(sk0_66)=empty_set|~spl0_24),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f1665,f1201])).
% 7.86/1.35 fof(f1684,plain,(
% 7.86/1.35 relation_dom(sk0_66)=empty_set|~spl0_24),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f1665,f1200])).
% 7.86/1.35 fof(f1690,plain,(
% 7.86/1.35 relation_field(sk0_66)=set_union2(relation_dom(sk0_66),empty_set)|~spl0_24),
% 7.86/1.35 inference(backward_demodulation,[status(thm)],[f1683,f1410])).
% 7.86/1.35 fof(f1691,plain,(
% 7.86/1.35 relation_field(sk0_66)=relation_dom(sk0_66)|~spl0_24),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f965,f1690])).
% 7.86/1.35 fof(f1695,plain,(
% 7.86/1.35 relation_field(sk0_66)=empty_set|~spl0_24),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f1684,f1691])).
% 7.86/1.35 fof(f1697,plain,(
% 7.86/1.35 spl0_26 <=> is_reflexive_in(sk0_66,empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f1699,plain,(
% 7.86/1.35 ~is_reflexive_in(sk0_66,empty_set)|spl0_26),
% 7.86/1.35 inference(component_clause,[status(thm)],[f1697])).
% 7.86/1.35 fof(f1700,plain,(
% 7.86/1.35 ~relation(sk0_66)|reflexive(sk0_66)|~is_reflexive_in(sk0_66,empty_set)|~spl0_24),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f1695,f637])).
% 7.86/1.35 fof(f1701,plain,(
% 7.86/1.35 ~spl0_14|spl0_0|~spl0_26|~spl0_24),
% 7.86/1.35 inference(split_clause,[status(thm)],[f1700,f1476,f1295,f1697,f1664])).
% 7.86/1.35 fof(f1714,plain,(
% 7.86/1.35 spl0_28 <=> in(sk0_0(empty_set,sk0_66),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f1715,plain,(
% 7.86/1.35 in(sk0_0(empty_set,sk0_66),relation_field(sk0_66))|~spl0_28),
% 7.86/1.35 inference(component_clause,[status(thm)],[f1714])).
% 7.86/1.35 fof(f1717,plain,(
% 7.86/1.35 sk0_66=identity_relation(empty_set)|in(sk0_0(empty_set,sk0_66),relation_field(sk0_66))|~spl0_20),
% 7.86/1.35 inference(resolution,[status(thm)],[f1645,f1348])).
% 7.86/1.35 fof(f1718,plain,(
% 7.86/1.35 spl0_24|spl0_28|~spl0_20),
% 7.86/1.35 inference(split_clause,[status(thm)],[f1717,f1664,f1714,f1644])).
% 7.86/1.35 fof(f1758,plain,(
% 7.86/1.35 in(sk0_67,empty_set)|~spl0_24|~spl0_2),
% 7.86/1.35 inference(backward_demodulation,[status(thm)],[f1695,f1303])).
% 7.86/1.35 fof(f1759,plain,(
% 7.86/1.35 $false|~spl0_24|~spl0_2),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f1758,f1348])).
% 7.86/1.35 fof(f1760,plain,(
% 7.86/1.35 ~spl0_24|~spl0_2),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f1759])).
% 7.86/1.35 fof(f1798,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|in(ordered_pair(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66))),identity_relation(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1625,f1580])).
% 7.86/1.35 fof(f1802,plain,(
% 7.86/1.35 spl0_34 <=> sk0_66=identity_relation(X0)|sk0_0(X0,sk0_66)=sk0_1(X0,sk0_66)|in(sk0_1(X0,sk0_66),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f1805,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|sk0_0(X0,sk0_66)=sk0_1(X0,sk0_66)|~relation(sk0_66)|in(sk0_1(X0,sk0_66),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1636,f1017])).
% 7.86/1.35 fof(f1806,plain,(
% 7.86/1.35 spl0_34|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f1805,f1802,f1476])).
% 7.86/1.35 fof(f1807,plain,(
% 7.86/1.35 spl0_35 <=> sk0_66=identity_relation(X0)|sk0_0(X0,sk0_66)=sk0_1(X0,sk0_66)|in(sk0_0(X0,sk0_66),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f1810,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|sk0_0(X0,sk0_66)=sk0_1(X0,sk0_66)|~relation(sk0_66)|in(sk0_0(X0,sk0_66),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1636,f1016])).
% 7.86/1.35 fof(f1811,plain,(
% 7.86/1.35 spl0_35|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f1810,f1807,f1476])).
% 7.86/1.35 fof(f1812,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|sk0_0(X0,sk0_66)=sk0_1(X0,sk0_66)|in(ordered_pair(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66))),identity_relation(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1636,f1580])).
% 7.86/1.35 fof(f1819,plain,(
% 7.86/1.35 spl0_36 <=> sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|in(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),relation_field(identity_relation(sk0_66)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f1822,plain,(
% 7.86/1.35 spl0_37 <=> relation(identity_relation(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f1824,plain,(
% 7.86/1.35 ~relation(identity_relation(sk0_66))|spl0_37),
% 7.86/1.35 inference(component_clause,[status(thm)],[f1822])).
% 7.86/1.35 fof(f1825,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|~relation(identity_relation(sk0_66))|in(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),relation_field(identity_relation(sk0_66))))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1649,f1017])).
% 7.86/1.35 fof(f1826,plain,(
% 7.86/1.35 spl0_36|~spl0_37),
% 7.86/1.35 inference(split_clause,[status(thm)],[f1825,f1819,f1822])).
% 7.86/1.35 fof(f1833,plain,(
% 7.86/1.35 $false|spl0_37),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f1824,f650])).
% 7.86/1.35 fof(f1834,plain,(
% 7.86/1.35 spl0_37),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f1833])).
% 7.86/1.35 fof(f1847,plain,(
% 7.86/1.35 ![X0]: (relation_field(identity_relation(X0))=set_union2(X0,X0))),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f1201,f1592])).
% 7.86/1.35 fof(f1848,plain,(
% 7.86/1.35 ![X0]: (relation_field(identity_relation(X0))=X0)),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f744,f1847])).
% 7.86/1.35 fof(f2054,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(X0)|sk0_66=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_66,X0),sk0_3(X1,sk0_66,X0)),sk0_66)|in(sk0_2(X1,sk0_66,X0),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f334,f758])).
% 7.86/1.35 fof(f2067,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(X0)|sk0_66=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,sk0_66,X0),sk0_3(X1,sk0_66,X0)),sk0_66)|in(ordered_pair(sk0_2(X1,sk0_66,X0),sk0_3(X1,sk0_66,X0)),X0))),
% 7.86/1.35 inference(resolution,[status(thm)],[f335,f758])).
% 7.86/1.35 fof(f2208,plain,(
% 7.86/1.35 ![X0]: (~ordinal(powerset(X0))|epsilon_connected(X0))),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f1258,f724])).
% 7.86/1.35 fof(f2266,plain,(
% 7.86/1.35 spl0_58 <=> relation(sk0_82)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2268,plain,(
% 7.86/1.35 ~relation(sk0_82)|spl0_58),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2266])).
% 7.86/1.35 fof(f2274,plain,(
% 7.86/1.35 spl0_60 <=> relation(relation_dom_restriction(sk0_82,empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2276,plain,(
% 7.86/1.35 ~relation(relation_dom_restriction(sk0_82,empty_set))|spl0_60),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2274])).
% 7.86/1.35 fof(f2287,plain,(
% 7.86/1.35 $false|spl0_58),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f2268,f853])).
% 7.86/1.35 fof(f2288,plain,(
% 7.86/1.35 spl0_58),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f2287])).
% 7.86/1.35 fof(f2294,plain,(
% 7.86/1.35 spl0_63 <=> relation(sk0_81)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2296,plain,(
% 7.86/1.35 ~relation(sk0_81)|spl0_63),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2294])).
% 7.86/1.35 fof(f2302,plain,(
% 7.86/1.35 spl0_65 <=> relation(relation_dom_restriction(sk0_81,empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2304,plain,(
% 7.86/1.35 ~relation(relation_dom_restriction(sk0_81,empty_set))|spl0_65),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2302])).
% 7.86/1.35 fof(f2312,plain,(
% 7.86/1.35 $false|spl0_63),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f2296,f850])).
% 7.86/1.35 fof(f2313,plain,(
% 7.86/1.35 spl0_63),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f2312])).
% 7.86/1.35 fof(f2319,plain,(
% 7.86/1.35 spl0_67 <=> relation(sk0_79)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2321,plain,(
% 7.86/1.35 ~relation(sk0_79)|spl0_67),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2319])).
% 7.86/1.35 fof(f2327,plain,(
% 7.86/1.35 spl0_69 <=> relation(relation_dom_restriction(sk0_79,empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2329,plain,(
% 7.86/1.35 ~relation(relation_dom_restriction(sk0_79,empty_set))|spl0_69),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2327])).
% 7.86/1.35 fof(f2337,plain,(
% 7.86/1.35 $false|spl0_67),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f2321,f841])).
% 7.86/1.35 fof(f2338,plain,(
% 7.86/1.35 spl0_67),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f2337])).
% 7.86/1.35 fof(f2344,plain,(
% 7.86/1.35 spl0_71 <=> relation(sk0_76)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2346,plain,(
% 7.86/1.35 ~relation(sk0_76)|spl0_71),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2344])).
% 7.86/1.35 fof(f2352,plain,(
% 7.86/1.35 spl0_73 <=> relation(relation_dom_restriction(sk0_76,empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2354,plain,(
% 7.86/1.35 ~relation(relation_dom_restriction(sk0_76,empty_set))|spl0_73),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2352])).
% 7.86/1.35 fof(f2362,plain,(
% 7.86/1.35 $false|spl0_71),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f2346,f834])).
% 7.86/1.35 fof(f2363,plain,(
% 7.86/1.35 spl0_71),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f2362])).
% 7.86/1.35 fof(f2369,plain,(
% 7.86/1.35 spl0_75 <=> relation(sk0_69)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2371,plain,(
% 7.86/1.35 ~relation(sk0_69)|spl0_75),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2369])).
% 7.86/1.35 fof(f2377,plain,(
% 7.86/1.35 spl0_77 <=> relation(relation_dom_restriction(sk0_69,empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2379,plain,(
% 7.86/1.35 ~relation(relation_dom_restriction(sk0_69,empty_set))|spl0_77),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2377])).
% 7.86/1.35 fof(f2387,plain,(
% 7.86/1.35 $false|spl0_75),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f2371,f805])).
% 7.86/1.35 fof(f2388,plain,(
% 7.86/1.35 spl0_75),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f2387])).
% 7.86/1.35 fof(f2399,plain,(
% 7.86/1.35 spl0_80 <=> relation(relation_dom_restriction(sk0_66,empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2401,plain,(
% 7.86/1.35 ~relation(relation_dom_restriction(sk0_66,empty_set))|spl0_80),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2399])).
% 7.86/1.35 fof(f2438,plain,(
% 7.86/1.35 spl0_84 <=> relation(relation_inverse(sk0_82))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2440,plain,(
% 7.86/1.35 ~relation(relation_inverse(sk0_82))|spl0_84),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2438])).
% 7.86/1.35 fof(f2456,plain,(
% 7.86/1.35 ~relation(sk0_82)|spl0_84),
% 7.86/1.35 inference(resolution,[status(thm)],[f2440,f645])).
% 7.86/1.35 fof(f2457,plain,(
% 7.86/1.35 ~spl0_58|spl0_84),
% 7.86/1.35 inference(split_clause,[status(thm)],[f2456,f2266,f2438])).
% 7.86/1.35 fof(f2466,plain,(
% 7.86/1.35 spl0_88 <=> relation(identity_relation(relation_field(sk0_66)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2468,plain,(
% 7.86/1.35 ~relation(identity_relation(relation_field(sk0_66)))|spl0_88),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2466])).
% 7.86/1.35 fof(f2480,plain,(
% 7.86/1.35 $false|spl0_88),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f2468,f650])).
% 7.86/1.35 fof(f2481,plain,(
% 7.86/1.35 spl0_88),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f2480])).
% 7.86/1.35 fof(f2508,plain,(
% 7.86/1.35 spl0_94 <=> ~relation(X0)|sk0_66=relation_dom_restriction(X0,X1)|in(sk0_2(X1,sk0_66,X0),X1)|in(sk0_3(X1,sk0_66,X0),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2511,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(X0)|sk0_66=relation_dom_restriction(X0,X1)|in(sk0_2(X1,sk0_66,X0),X1)|~relation(sk0_66)|in(sk0_3(X1,sk0_66,X0),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f2054,f1017])).
% 7.86/1.35 fof(f2512,plain,(
% 7.86/1.35 spl0_94|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f2511,f2508,f1476])).
% 7.86/1.35 fof(f2513,plain,(
% 7.86/1.35 spl0_95 <=> ~relation(X0)|sk0_66=relation_dom_restriction(X0,X1)|in(sk0_2(X1,sk0_66,X0),X1)|in(sk0_2(X1,sk0_66,X0),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2516,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(X0)|sk0_66=relation_dom_restriction(X0,X1)|in(sk0_2(X1,sk0_66,X0),X1)|~relation(sk0_66)|in(sk0_2(X1,sk0_66,X0),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f2054,f1016])).
% 7.86/1.35 fof(f2517,plain,(
% 7.86/1.35 spl0_95|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f2516,f2513,f1476])).
% 7.86/1.35 fof(f2604,plain,(
% 7.86/1.35 spl0_108 <=> ordinal(singleton(empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2605,plain,(
% 7.86/1.35 ordinal(singleton(empty_set))|~spl0_108),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2604])).
% 7.86/1.35 fof(f2606,plain,(
% 7.86/1.35 ~ordinal(singleton(empty_set))|spl0_108),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2604])).
% 7.86/1.35 fof(f2610,plain,(
% 7.86/1.35 spl0_109 <=> epsilon_connected(empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2613,plain,(
% 7.86/1.35 ~ordinal(singleton(empty_set))|epsilon_connected(empty_set)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f971,f2208])).
% 7.86/1.35 fof(f2614,plain,(
% 7.86/1.35 ~spl0_108|spl0_109),
% 7.86/1.35 inference(split_clause,[status(thm)],[f2613,f2604,f2610])).
% 7.86/1.35 fof(f2625,plain,(
% 7.86/1.35 ~relation(sk0_66)|reflexive(sk0_66)|~spl0_15),
% 7.86/1.35 inference(resolution,[status(thm)],[f1480,f637])).
% 7.86/1.35 fof(f2626,plain,(
% 7.86/1.35 ~spl0_14|spl0_0|~spl0_15),
% 7.86/1.35 inference(split_clause,[status(thm)],[f2625,f1476,f1295,f1479])).
% 7.86/1.35 fof(f2633,plain,(
% 7.86/1.35 ![X0]: (~in(relation_field(sk0_66),X0)|~in(X0,sk0_0(empty_set,sk0_66))|~spl0_28)),
% 7.86/1.35 inference(resolution,[status(thm)],[f1715,f1074])).
% 7.86/1.35 fof(f2636,plain,(
% 7.86/1.35 spl0_110 <=> sk0_66=identity_relation(sk0_0(empty_set,sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2637,plain,(
% 7.86/1.35 sk0_66=identity_relation(sk0_0(empty_set,sk0_66))|~spl0_110),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2636])).
% 7.86/1.35 fof(f2736,plain,(
% 7.86/1.35 ![X0]: (sk0_66=relation_dom_restriction(empty_set,X0)|in(ordered_pair(sk0_2(X0,sk0_66,empty_set),sk0_3(X0,sk0_66,empty_set)),sk0_66)|in(ordered_pair(sk0_2(X0,sk0_66,empty_set),sk0_3(X0,sk0_66,empty_set)),empty_set))),
% 7.86/1.35 inference(resolution,[status(thm)],[f2067,f672])).
% 7.86/1.35 fof(f2737,plain,(
% 7.86/1.35 ![X0]: (sk0_66=relation_dom_restriction(empty_set,X0)|in(ordered_pair(sk0_2(X0,sk0_66,empty_set),sk0_3(X0,sk0_66,empty_set)),sk0_66))),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f2736,f1348])).
% 7.86/1.35 fof(f2738,plain,(
% 7.86/1.35 ![X0]: (sk0_66=relation_dom_restriction(sk0_66,X0)|in(ordered_pair(sk0_2(X0,sk0_66,sk0_66),sk0_3(X0,sk0_66,sk0_66)),sk0_66)|in(ordered_pair(sk0_2(X0,sk0_66,sk0_66),sk0_3(X0,sk0_66,sk0_66)),sk0_66))),
% 7.86/1.35 inference(resolution,[status(thm)],[f2067,f758])).
% 7.86/1.35 fof(f2739,plain,(
% 7.86/1.35 ![X0]: (sk0_66=relation_dom_restriction(sk0_66,X0)|in(ordered_pair(sk0_2(X0,sk0_66,sk0_66),sk0_3(X0,sk0_66,sk0_66)),sk0_66))),
% 7.86/1.35 inference(duplicate_literals_removal,[status(esa)],[f2738])).
% 7.86/1.35 fof(f2783,plain,(
% 7.86/1.35 succ(empty_set)=singleton(empty_set)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f1519,f396])).
% 7.86/1.35 fof(f2789,plain,(
% 7.86/1.35 ~ordinal(succ(empty_set))|spl0_108),
% 7.86/1.35 inference(backward_demodulation,[status(thm)],[f2783,f2606])).
% 7.86/1.35 fof(f2791,plain,(
% 7.86/1.35 powerset(empty_set)=succ(empty_set)),
% 7.86/1.35 inference(backward_demodulation,[status(thm)],[f2783,f971])).
% 7.86/1.35 fof(f2803,plain,(
% 7.86/1.35 ~succ(empty_set)=empty_set),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2783,f762])).
% 7.86/1.35 fof(f2807,plain,(
% 7.86/1.35 spl0_122 <=> ordinal(succ(empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2809,plain,(
% 7.86/1.35 ~ordinal(succ(empty_set))|spl0_122),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2807])).
% 7.86/1.35 fof(f2827,plain,(
% 7.86/1.35 spl0_123 <=> relation(sk0_0(empty_set,sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2830,plain,(
% 7.86/1.35 spl0_124 <=> in(relation_field(sk0_66),sk0_19(sk0_0(empty_set,sk0_66)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2833,plain,(
% 7.86/1.35 relation(sk0_0(empty_set,sk0_66))|~in(relation_field(sk0_66),sk0_19(sk0_0(empty_set,sk0_66)))|~spl0_28),
% 7.86/1.35 inference(resolution,[status(thm)],[f402,f2633])).
% 7.86/1.35 fof(f2834,plain,(
% 7.86/1.35 spl0_123|~spl0_124|~spl0_28),
% 7.86/1.35 inference(split_clause,[status(thm)],[f2833,f2827,f2830,f1714])).
% 7.86/1.35 fof(f2858,plain,(
% 7.86/1.35 spl0_129 <=> sk0_0(empty_set,sk0_66)=empty_set),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2859,plain,(
% 7.86/1.35 sk0_0(empty_set,sk0_66)=empty_set|~spl0_129),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2858])).
% 7.86/1.35 fof(f2861,plain,(
% 7.86/1.35 spl0_130 <=> in(relation_field(sk0_66),sk0_25(sk0_0(empty_set,sk0_66)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2864,plain,(
% 7.86/1.35 sk0_0(empty_set,sk0_66)=empty_set|~in(relation_field(sk0_66),sk0_25(sk0_0(empty_set,sk0_66)))|~spl0_28),
% 7.86/1.35 inference(resolution,[status(thm)],[f434,f2633])).
% 7.86/1.35 fof(f2865,plain,(
% 7.86/1.35 spl0_129|~spl0_130|~spl0_28),
% 7.86/1.35 inference(split_clause,[status(thm)],[f2864,f2858,f2861,f1714])).
% 7.86/1.35 fof(f2882,plain,(
% 7.86/1.35 ![X0]: (singleton(X0)=empty_set|sk0_25(singleton(X0))=X0)),
% 7.86/1.35 inference(resolution,[status(thm)],[f434,f1346])).
% 7.86/1.35 fof(f2883,plain,(
% 7.86/1.35 ![X0]: (sk0_25(singleton(X0))=X0)),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f2882,f762])).
% 7.86/1.35 fof(f2885,plain,(
% 7.86/1.35 ![X0,X1]: (X0=empty_set|~in(X0,X1)|~in(X1,sk0_25(X0)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f434,f1074])).
% 7.86/1.35 fof(f2887,plain,(
% 7.86/1.35 ![X0]: (X0=empty_set|~in(X0,sk0_25(X0)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f434,f286])).
% 7.86/1.35 fof(f2888,plain,(
% 7.86/1.35 sk0_25(succ(empty_set))=empty_set),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2783,f2883])).
% 7.86/1.35 fof(f2890,plain,(
% 7.86/1.35 spl0_135 <=> succ(empty_set)=empty_set),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2891,plain,(
% 7.86/1.35 succ(empty_set)=empty_set|~spl0_135),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2890])).
% 7.86/1.35 fof(f2893,plain,(
% 7.86/1.35 spl0_136 <=> in(empty_set,succ(empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2896,plain,(
% 7.86/1.35 succ(empty_set)=empty_set|in(empty_set,succ(empty_set))),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2888,f434])).
% 7.86/1.35 fof(f2897,plain,(
% 7.86/1.35 spl0_135|spl0_136),
% 7.86/1.35 inference(split_clause,[status(thm)],[f2896,f2890,f2893])).
% 7.86/1.35 fof(f2898,plain,(
% 7.86/1.35 $false|~spl0_135),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f2891,f2803])).
% 7.86/1.35 fof(f2899,plain,(
% 7.86/1.35 ~spl0_135),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f2898])).
% 7.86/1.35 fof(f2912,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(X0)|sk0_66=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_7(X1,sk0_66,X0),sk0_8(X1,sk0_66,X0)),sk0_66)|in(sk0_8(X1,sk0_66,X0),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f354,f758])).
% 7.86/1.35 fof(f2954,plain,(
% 7.86/1.35 spl0_146 <=> ordered_pair(sk0_67,sk0_67)=empty_set),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2955,plain,(
% 7.86/1.35 ordered_pair(sk0_67,sk0_67)=empty_set|~spl0_146),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2954])).
% 7.86/1.35 fof(f2984,plain,(
% 7.86/1.35 spl0_153 <=> relation(identity_relation(identity_relation(relation_field(sk0_66))))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f2986,plain,(
% 7.86/1.35 ~relation(identity_relation(identity_relation(relation_field(sk0_66))))|spl0_153),
% 7.86/1.35 inference(component_clause,[status(thm)],[f2984])).
% 7.86/1.35 fof(f2998,plain,(
% 7.86/1.35 $false|spl0_153),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f2986,f650])).
% 7.86/1.35 fof(f2999,plain,(
% 7.86/1.35 spl0_153),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f2998])).
% 7.86/1.35 fof(f3000,plain,(
% 7.86/1.35 ~ordinal(empty_set)|spl0_108),
% 7.86/1.35 inference(resolution,[status(thm)],[f2789,f711])).
% 7.86/1.35 fof(f3001,plain,(
% 7.86/1.35 $false|spl0_108),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f3000,f697])).
% 7.86/1.35 fof(f3002,plain,(
% 7.86/1.35 spl0_108),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f3001])).
% 7.86/1.35 fof(f3003,plain,(
% 7.86/1.35 ordinal(succ(empty_set))|~spl0_108),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f2783,f2605])).
% 7.86/1.35 fof(f3004,plain,(
% 7.86/1.35 ![X0]: (~ordinal(X0)|ordinal_subset(X0,succ(empty_set))|ordinal_subset(succ(empty_set),X0)|~spl0_108)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3003,f310])).
% 7.86/1.35 fof(f3006,plain,(
% 7.86/1.35 spl0_155 <=> ordinal_subset(succ(empty_set),succ(empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3009,plain,(
% 7.86/1.35 ordinal_subset(succ(empty_set),succ(empty_set))|ordinal_subset(succ(empty_set),succ(empty_set))|~spl0_108),
% 7.86/1.35 inference(resolution,[status(thm)],[f3004,f3003])).
% 7.86/1.35 fof(f3010,plain,(
% 7.86/1.35 spl0_155|~spl0_108),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3009,f3006,f2604])).
% 7.86/1.35 fof(f3088,plain,(
% 7.86/1.35 spl0_166 <=> sk0_66=relation_dom_restriction(empty_set,X0)|in(sk0_3(X0,sk0_66,empty_set),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3091,plain,(
% 7.86/1.35 ![X0]: (sk0_66=relation_dom_restriction(empty_set,X0)|~relation(sk0_66)|in(sk0_3(X0,sk0_66,empty_set),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f2737,f1017])).
% 7.86/1.35 fof(f3092,plain,(
% 7.86/1.35 spl0_166|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3091,f3088,f1476])).
% 7.86/1.35 fof(f3093,plain,(
% 7.86/1.35 spl0_167 <=> sk0_66=relation_dom_restriction(empty_set,X0)|in(sk0_2(X0,sk0_66,empty_set),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3096,plain,(
% 7.86/1.35 ![X0]: (sk0_66=relation_dom_restriction(empty_set,X0)|~relation(sk0_66)|in(sk0_2(X0,sk0_66,empty_set),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f2737,f1016])).
% 7.86/1.35 fof(f3097,plain,(
% 7.86/1.35 spl0_167|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3096,f3093,f1476])).
% 7.86/1.35 fof(f3102,plain,(
% 7.86/1.35 spl0_168 <=> sk0_66=relation_dom_restriction(sk0_66,X0)|in(sk0_3(X0,sk0_66,sk0_66),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3105,plain,(
% 7.86/1.35 ![X0]: (sk0_66=relation_dom_restriction(sk0_66,X0)|~relation(sk0_66)|in(sk0_3(X0,sk0_66,sk0_66),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f2739,f1017])).
% 7.86/1.35 fof(f3106,plain,(
% 7.86/1.35 spl0_168|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3105,f3102,f1476])).
% 7.86/1.35 fof(f3107,plain,(
% 7.86/1.35 spl0_169 <=> sk0_66=relation_dom_restriction(sk0_66,X0)|in(sk0_2(X0,sk0_66,sk0_66),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3110,plain,(
% 7.86/1.35 ![X0]: (sk0_66=relation_dom_restriction(sk0_66,X0)|~relation(sk0_66)|in(sk0_2(X0,sk0_66,sk0_66),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f2739,f1016])).
% 7.86/1.35 fof(f3111,plain,(
% 7.86/1.35 spl0_169|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3110,f3107,f1476])).
% 7.86/1.35 fof(f3117,plain,(
% 7.86/1.35 spl0_170 <=> ~relation(X0)|sk0_66=relation_rng_restriction(X1,X0)|in(sk0_8(X1,sk0_66,X0),X1)|in(sk0_8(X1,sk0_66,X0),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3120,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(X0)|sk0_66=relation_rng_restriction(X1,X0)|in(sk0_8(X1,sk0_66,X0),X1)|~relation(sk0_66)|in(sk0_8(X1,sk0_66,X0),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f2912,f1017])).
% 7.86/1.35 fof(f3121,plain,(
% 7.86/1.35 spl0_170|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3120,f3117,f1476])).
% 7.86/1.35 fof(f3122,plain,(
% 7.86/1.35 spl0_171 <=> ~relation(X0)|sk0_66=relation_rng_restriction(X1,X0)|in(sk0_8(X1,sk0_66,X0),X1)|in(sk0_7(X1,sk0_66,X0),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3125,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(X0)|sk0_66=relation_rng_restriction(X1,X0)|in(sk0_8(X1,sk0_66,X0),X1)|~relation(sk0_66)|in(sk0_7(X1,sk0_66,X0),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f2912,f1016])).
% 7.86/1.35 fof(f3126,plain,(
% 7.86/1.35 spl0_171|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3125,f3122,f1476])).
% 7.86/1.35 fof(f3131,plain,(
% 7.86/1.35 spl0_172 <=> in(succ(empty_set),empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3134,plain,(
% 7.86/1.35 succ(empty_set)=empty_set|~in(succ(empty_set),empty_set)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2888,f2887])).
% 7.86/1.35 fof(f3135,plain,(
% 7.86/1.35 spl0_135|~spl0_172),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3134,f2890,f3131])).
% 7.86/1.35 fof(f3189,plain,(
% 7.86/1.35 spl0_177 <=> epsilon_transitive(sk0_0(empty_set,sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3192,plain,(
% 7.86/1.35 spl0_178 <=> in(relation_field(sk0_66),sk0_27(sk0_0(empty_set,sk0_66)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3195,plain,(
% 7.86/1.35 epsilon_transitive(sk0_0(empty_set,sk0_66))|~in(relation_field(sk0_66),sk0_27(sk0_0(empty_set,sk0_66)))|~spl0_28),
% 7.86/1.35 inference(resolution,[status(thm)],[f447,f2633])).
% 7.86/1.35 fof(f3196,plain,(
% 7.86/1.35 spl0_177|~spl0_178|~spl0_28),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3195,f3189,f3192,f1714])).
% 7.86/1.35 fof(f3236,plain,(
% 7.86/1.35 spl0_187 <=> epsilon_connected(sk0_0(empty_set,sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3239,plain,(
% 7.86/1.35 spl0_188 <=> in(relation_field(sk0_66),sk0_37(sk0_0(empty_set,sk0_66)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3242,plain,(
% 7.86/1.35 epsilon_connected(sk0_0(empty_set,sk0_66))|~in(relation_field(sk0_66),sk0_37(sk0_0(empty_set,sk0_66)))|~spl0_28),
% 7.86/1.35 inference(resolution,[status(thm)],[f496,f2633])).
% 7.86/1.35 fof(f3243,plain,(
% 7.86/1.35 spl0_187|~spl0_188|~spl0_28),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3242,f3236,f3239,f1714])).
% 7.86/1.35 fof(f3277,plain,(
% 7.86/1.35 spl0_195 <=> in(relation_field(sk0_66),sk0_38(sk0_0(empty_set,sk0_66)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3280,plain,(
% 7.86/1.35 epsilon_connected(sk0_0(empty_set,sk0_66))|~in(relation_field(sk0_66),sk0_38(sk0_0(empty_set,sk0_66)))|~spl0_28),
% 7.86/1.35 inference(resolution,[status(thm)],[f497,f2633])).
% 7.86/1.35 fof(f3281,plain,(
% 7.86/1.35 spl0_187|~spl0_195|~spl0_28),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3280,f3236,f3277,f1714])).
% 7.86/1.35 fof(f3325,plain,(
% 7.86/1.35 spl0_198 <=> empty(empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3328,plain,(
% 7.86/1.35 spl0_199 <=> ~empty(X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3329,plain,(
% 7.86/1.35 ![X0]: (~empty(X0)|~spl0_199)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f3328])).
% 7.86/1.35 fof(f3331,plain,(
% 7.86/1.35 ![X0]: (empty(empty_set)|~empty(X0))),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f1519,f703])).
% 7.86/1.35 fof(f3332,plain,(
% 7.86/1.35 spl0_198|spl0_199),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3331,f3325,f3328])).
% 7.86/1.35 fof(f3448,plain,(
% 7.86/1.35 spl0_221 <=> relation(relation_inverse(sk0_81))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3450,plain,(
% 7.86/1.35 ~relation(relation_inverse(sk0_81))|spl0_221),
% 7.86/1.35 inference(component_clause,[status(thm)],[f3448])).
% 7.86/1.35 fof(f3453,plain,(
% 7.86/1.35 spl0_222 <=> relation(relation_inverse(sk0_79))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3455,plain,(
% 7.86/1.35 ~relation(relation_inverse(sk0_79))|spl0_222),
% 7.86/1.35 inference(component_clause,[status(thm)],[f3453])).
% 7.86/1.35 fof(f3458,plain,(
% 7.86/1.35 spl0_223 <=> relation(relation_inverse(sk0_76))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3460,plain,(
% 7.86/1.35 ~relation(relation_inverse(sk0_76))|spl0_223),
% 7.86/1.35 inference(component_clause,[status(thm)],[f3458])).
% 7.86/1.35 fof(f3481,plain,(
% 7.86/1.35 spl0_224 <=> ~in(X0,relation_inverse_image(sk0_82,X1))|in(X0,relation_dom(sk0_82))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3484,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_82)|~in(X0,relation_inverse_image(sk0_82,X1))|in(X0,relation_dom(sk0_82)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1330,f855])).
% 7.86/1.35 fof(f3485,plain,(
% 7.86/1.35 ~spl0_58|spl0_224),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3484,f2266,f3481])).
% 7.86/1.35 fof(f3486,plain,(
% 7.86/1.35 spl0_225 <=> ~in(X0,relation_inverse_image(sk0_79,X1))|in(X0,relation_dom(sk0_79))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3489,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_79)|~in(X0,relation_inverse_image(sk0_79,X1))|in(X0,relation_dom(sk0_79)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1330,f842])).
% 7.86/1.35 fof(f3490,plain,(
% 7.86/1.35 ~spl0_67|spl0_225),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3489,f2319,f3486])).
% 7.86/1.35 fof(f3491,plain,(
% 7.86/1.35 spl0_226 <=> ~in(X0,relation_inverse_image(sk0_69,X1))|in(X0,relation_dom(sk0_69))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3494,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_69)|~in(X0,relation_inverse_image(sk0_69,X1))|in(X0,relation_dom(sk0_69)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1330,f806])).
% 7.86/1.35 fof(f3495,plain,(
% 7.86/1.35 ~spl0_75|spl0_226),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3494,f2369,f3491])).
% 7.86/1.35 fof(f3496,plain,(
% 7.86/1.35 spl0_227 <=> ~in(X0,relation_inverse_image(empty_set,X1))|in(X0,relation_dom(empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3497,plain,(
% 7.86/1.35 ![X0,X1]: (~in(X0,relation_inverse_image(empty_set,X1))|in(X0,relation_dom(empty_set))|~spl0_227)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f3496])).
% 7.86/1.35 fof(f3499,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(empty_set)|~in(X0,relation_inverse_image(empty_set,X1))|in(X0,relation_dom(empty_set)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1330,f692])).
% 7.86/1.35 fof(f3500,plain,(
% 7.86/1.35 ~spl0_16|spl0_227),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3499,f1527,f3496])).
% 7.86/1.35 fof(f3503,plain,(
% 7.86/1.35 ![X0,X1]: (~in(X0,relation_inverse_image(empty_set,X1))|in(X0,empty_set)|~spl0_227)),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f1163,f3497])).
% 7.86/1.35 fof(f3504,plain,(
% 7.86/1.35 ![X0,X1]: (~in(X0,relation_inverse_image(empty_set,X1))|~spl0_227)),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f3503,f1348])).
% 7.86/1.35 fof(f3507,plain,(
% 7.86/1.35 spl0_228 <=> ~in(X0,relation_inverse_image(sk0_82,X1))|in(apply(sk0_82,X0),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3510,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_82)|~in(X0,relation_inverse_image(sk0_82,X1))|in(apply(sk0_82,X0),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1331,f855])).
% 7.86/1.35 fof(f3511,plain,(
% 7.86/1.35 ~spl0_58|spl0_228),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3510,f2266,f3507])).
% 7.86/1.35 fof(f3512,plain,(
% 7.86/1.35 spl0_229 <=> ~in(X0,relation_inverse_image(sk0_79,X1))|in(apply(sk0_79,X0),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3515,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_79)|~in(X0,relation_inverse_image(sk0_79,X1))|in(apply(sk0_79,X0),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1331,f842])).
% 7.86/1.35 fof(f3516,plain,(
% 7.86/1.35 ~spl0_67|spl0_229),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3515,f2319,f3512])).
% 7.86/1.35 fof(f3517,plain,(
% 7.86/1.35 spl0_230 <=> ~in(X0,relation_inverse_image(sk0_69,X1))|in(apply(sk0_69,X0),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3520,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_69)|~in(X0,relation_inverse_image(sk0_69,X1))|in(apply(sk0_69,X0),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1331,f806])).
% 7.86/1.35 fof(f3521,plain,(
% 7.86/1.35 ~spl0_75|spl0_230),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3520,f2369,f3517])).
% 7.86/1.35 fof(f3522,plain,(
% 7.86/1.35 spl0_231 <=> ~in(X0,relation_inverse_image(empty_set,X1))|in(apply(empty_set,X0),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3525,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(empty_set)|~in(X0,relation_inverse_image(empty_set,X1))|in(apply(empty_set,X0),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1331,f692])).
% 7.86/1.35 fof(f3526,plain,(
% 7.86/1.35 ~spl0_16|spl0_231),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3525,f1527,f3522])).
% 7.86/1.35 fof(f3559,plain,(
% 7.86/1.35 ~relation(sk0_81)|spl0_221),
% 7.86/1.35 inference(resolution,[status(thm)],[f3450,f645])).
% 7.86/1.35 fof(f3560,plain,(
% 7.86/1.35 ~spl0_63|spl0_221),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3559,f2294,f3448])).
% 7.86/1.35 fof(f3562,plain,(
% 7.86/1.35 ~relation(sk0_79)|spl0_222),
% 7.86/1.35 inference(resolution,[status(thm)],[f3455,f645])).
% 7.86/1.35 fof(f3563,plain,(
% 7.86/1.35 ~spl0_67|spl0_222),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3562,f2319,f3453])).
% 7.86/1.35 fof(f3565,plain,(
% 7.86/1.35 ~relation(sk0_76)|spl0_223),
% 7.86/1.35 inference(resolution,[status(thm)],[f3460,f645])).
% 7.86/1.35 fof(f3566,plain,(
% 7.86/1.35 ~spl0_71|spl0_223),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3565,f2344,f3458])).
% 7.86/1.35 fof(f3622,plain,(
% 7.86/1.35 ![X0]: (relation_inverse_image(empty_set,X0)=empty_set|~spl0_227)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3504,f434])).
% 7.86/1.35 fof(f3652,plain,(
% 7.86/1.35 spl0_232 <=> relation(relation_inverse(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3654,plain,(
% 7.86/1.35 ~relation(relation_inverse(sk0_66))|spl0_232),
% 7.86/1.35 inference(component_clause,[status(thm)],[f3652])).
% 7.86/1.35 fof(f3727,plain,(
% 7.86/1.35 spl0_240 <=> ~in(succ(empty_set),X0)|~in(X0,empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3730,plain,(
% 7.86/1.35 ![X0]: (succ(empty_set)=empty_set|~in(succ(empty_set),X0)|~in(X0,empty_set))),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2888,f2885])).
% 7.86/1.35 fof(f3731,plain,(
% 7.86/1.35 spl0_135|spl0_240),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3730,f2890,f3727])).
% 7.86/1.35 fof(f3733,plain,(
% 7.86/1.35 spl0_241 <=> relation(relation_inverse(sk0_69))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3735,plain,(
% 7.86/1.35 ~relation(relation_inverse(sk0_69))|spl0_241),
% 7.86/1.35 inference(component_clause,[status(thm)],[f3733])).
% 7.86/1.35 fof(f3898,plain,(
% 7.86/1.35 spl0_246 <=> ordinal(sk0_0(empty_set,sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3901,plain,(
% 7.86/1.35 spl0_247 <=> in(relation_field(sk0_66),sk0_87(sk0_0(empty_set,sk0_66)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3904,plain,(
% 7.86/1.35 ordinal(sk0_0(empty_set,sk0_66))|~in(relation_field(sk0_66),sk0_87(sk0_0(empty_set,sk0_66)))|~spl0_28),
% 7.86/1.35 inference(resolution,[status(thm)],[f1020,f2633])).
% 7.86/1.35 fof(f3905,plain,(
% 7.86/1.35 spl0_246|~spl0_247|~spl0_28),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3904,f3898,f3901,f1714])).
% 7.86/1.35 fof(f3932,plain,(
% 7.86/1.35 spl0_252 <=> in(X0,relation_inverse_image(sk0_82,X1))|~in(X0,relation_dom(sk0_82))|~in(apply(sk0_82,X0),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3935,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_82)|in(X0,relation_inverse_image(sk0_82,X1))|~in(X0,relation_dom(sk0_82))|~in(apply(sk0_82,X0),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1332,f855])).
% 7.86/1.35 fof(f3936,plain,(
% 7.86/1.35 ~spl0_58|spl0_252),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3935,f2266,f3932])).
% 7.86/1.35 fof(f3937,plain,(
% 7.86/1.35 spl0_253 <=> in(X0,relation_inverse_image(sk0_79,X1))|~in(X0,relation_dom(sk0_79))|~in(apply(sk0_79,X0),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3940,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_79)|in(X0,relation_inverse_image(sk0_79,X1))|~in(X0,relation_dom(sk0_79))|~in(apply(sk0_79,X0),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1332,f842])).
% 7.86/1.35 fof(f3941,plain,(
% 7.86/1.35 ~spl0_67|spl0_253),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3940,f2319,f3937])).
% 7.86/1.35 fof(f3942,plain,(
% 7.86/1.35 spl0_254 <=> in(X0,relation_inverse_image(sk0_69,X1))|~in(X0,relation_dom(sk0_69))|~in(apply(sk0_69,X0),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3945,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_69)|in(X0,relation_inverse_image(sk0_69,X1))|~in(X0,relation_dom(sk0_69))|~in(apply(sk0_69,X0),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1332,f806])).
% 7.86/1.35 fof(f3946,plain,(
% 7.86/1.35 ~spl0_75|spl0_254),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3945,f2369,f3942])).
% 7.86/1.35 fof(f3947,plain,(
% 7.86/1.35 spl0_255 <=> in(X0,relation_inverse_image(empty_set,X1))|~in(X0,relation_dom(empty_set))|~in(apply(empty_set,X0),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3950,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(empty_set)|in(X0,relation_inverse_image(empty_set,X1))|~in(X0,relation_dom(empty_set))|~in(apply(empty_set,X0),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1332,f692])).
% 7.86/1.35 fof(f3951,plain,(
% 7.86/1.35 ~spl0_16|spl0_255),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3950,f1527,f3947])).
% 7.86/1.35 fof(f3958,plain,(
% 7.86/1.35 spl0_256 <=> X0=relation_inverse_image(sk0_82,X1)|in(sk0_9(X0,X1,sk0_82),X0)|in(sk0_9(X0,X1,sk0_82),relation_dom(sk0_82))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3959,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_82,X1)|in(sk0_9(X0,X1,sk0_82),X0)|in(sk0_9(X0,X1,sk0_82),relation_dom(sk0_82))|~spl0_256)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f3958])).
% 7.86/1.35 fof(f3961,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_82)|X0=relation_inverse_image(sk0_82,X1)|in(sk0_9(X0,X1,sk0_82),X0)|in(sk0_9(X0,X1,sk0_82),relation_dom(sk0_82)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f364,f855])).
% 7.86/1.35 fof(f3962,plain,(
% 7.86/1.35 ~spl0_58|spl0_256),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3961,f2266,f3958])).
% 7.86/1.35 fof(f3963,plain,(
% 7.86/1.35 spl0_257 <=> X0=relation_inverse_image(sk0_79,X1)|in(sk0_9(X0,X1,sk0_79),X0)|in(sk0_9(X0,X1,sk0_79),relation_dom(sk0_79))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3964,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_79,X1)|in(sk0_9(X0,X1,sk0_79),X0)|in(sk0_9(X0,X1,sk0_79),relation_dom(sk0_79))|~spl0_257)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f3963])).
% 7.86/1.35 fof(f3966,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_79)|X0=relation_inverse_image(sk0_79,X1)|in(sk0_9(X0,X1,sk0_79),X0)|in(sk0_9(X0,X1,sk0_79),relation_dom(sk0_79)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f364,f842])).
% 7.86/1.35 fof(f3967,plain,(
% 7.86/1.35 ~spl0_67|spl0_257),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3966,f2319,f3963])).
% 7.86/1.35 fof(f3968,plain,(
% 7.86/1.35 spl0_258 <=> X0=relation_inverse_image(sk0_69,X1)|in(sk0_9(X0,X1,sk0_69),X0)|in(sk0_9(X0,X1,sk0_69),relation_dom(sk0_69))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3969,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_69,X1)|in(sk0_9(X0,X1,sk0_69),X0)|in(sk0_9(X0,X1,sk0_69),relation_dom(sk0_69))|~spl0_258)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f3968])).
% 7.86/1.35 fof(f3971,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_69)|X0=relation_inverse_image(sk0_69,X1)|in(sk0_9(X0,X1,sk0_69),X0)|in(sk0_9(X0,X1,sk0_69),relation_dom(sk0_69)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f364,f806])).
% 7.86/1.35 fof(f3972,plain,(
% 7.86/1.35 ~spl0_75|spl0_258),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3971,f2369,f3968])).
% 7.86/1.35 fof(f3973,plain,(
% 7.86/1.35 spl0_259 <=> X0=relation_inverse_image(empty_set,X1)|in(sk0_9(X0,X1,empty_set),X0)|in(sk0_9(X0,X1,empty_set),relation_dom(empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f3974,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(empty_set,X1)|in(sk0_9(X0,X1,empty_set),X0)|in(sk0_9(X0,X1,empty_set),relation_dom(empty_set))|~spl0_259)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f3973])).
% 7.86/1.35 fof(f3976,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(empty_set)|X0=relation_inverse_image(empty_set,X1)|in(sk0_9(X0,X1,empty_set),X0)|in(sk0_9(X0,X1,empty_set),relation_dom(empty_set)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f364,f692])).
% 7.86/1.35 fof(f3977,plain,(
% 7.86/1.35 ~spl0_16|spl0_259),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3976,f1527,f3973])).
% 7.86/1.35 fof(f3980,plain,(
% 7.86/1.35 ![X0,X1]: (X0=empty_set|in(sk0_9(X0,X1,empty_set),X0)|in(sk0_9(X0,X1,empty_set),relation_dom(empty_set))|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f3622,f3974])).
% 7.86/1.35 fof(f3981,plain,(
% 7.86/1.35 ![X0,X1]: (X0=empty_set|in(sk0_9(X0,X1,empty_set),X0)|in(sk0_9(X0,X1,empty_set),empty_set)|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f1163,f3980])).
% 7.86/1.35 fof(f3982,plain,(
% 7.86/1.35 ![X0,X1]: (X0=empty_set|in(sk0_9(X0,X1,empty_set),X0)|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f3981,f1348])).
% 7.86/1.35 fof(f3983,plain,(
% 7.86/1.35 ~relation(sk0_66)|spl0_232),
% 7.86/1.35 inference(resolution,[status(thm)],[f3654,f645])).
% 7.86/1.35 fof(f3984,plain,(
% 7.86/1.35 ~spl0_14|spl0_232),
% 7.86/1.35 inference(split_clause,[status(thm)],[f3983,f1476,f3652])).
% 7.86/1.35 fof(f4005,plain,(
% 7.86/1.35 spl0_260 <=> sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|in(sk0_1(X0,sk0_66),relation_field(identity_relation(relation_field(sk0_66))))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4008,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|~relation(identity_relation(relation_field(sk0_66)))|in(sk0_1(X0,sk0_66),relation_field(identity_relation(relation_field(sk0_66))))|~spl0_19)),
% 7.86/1.35 inference(resolution,[status(thm)],[f1677,f1017])).
% 7.86/1.35 fof(f4009,plain,(
% 7.86/1.35 spl0_260|~spl0_88|~spl0_19),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4008,f4005,f2466,f1639])).
% 7.86/1.35 fof(f4016,plain,(
% 7.86/1.35 ~relation(sk0_69)|spl0_241),
% 7.86/1.35 inference(resolution,[status(thm)],[f3735,f645])).
% 7.86/1.35 fof(f4017,plain,(
% 7.86/1.35 ~spl0_75|spl0_241),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4016,f2369,f3733])).
% 7.86/1.35 fof(f4037,plain,(
% 7.86/1.35 spl0_261 <=> X0=empty_set|X0=relation_inverse_image(empty_set,X1)|~in(sk0_9(X0,X1,empty_set),relation_dom(empty_set))|~in(apply(empty_set,sk0_9(X0,X1,empty_set)),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4040,plain,(
% 7.86/1.35 spl0_262 <=> function(empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4042,plain,(
% 7.86/1.35 ~function(empty_set)|spl0_262),
% 7.86/1.35 inference(component_clause,[status(thm)],[f4040])).
% 7.86/1.35 fof(f4043,plain,(
% 7.86/1.35 ![X0,X1]: (X0=empty_set|~relation(empty_set)|~function(empty_set)|X0=relation_inverse_image(empty_set,X1)|~in(sk0_9(X0,X1,empty_set),relation_dom(empty_set))|~in(apply(empty_set,sk0_9(X0,X1,empty_set)),X1)|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3982,f363])).
% 7.86/1.35 fof(f4044,plain,(
% 7.86/1.35 spl0_261|~spl0_16|~spl0_262|~spl0_227|~spl0_259),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4043,f4037,f1527,f4040,f3496,f3973])).
% 7.86/1.35 fof(f4048,plain,(
% 7.86/1.35 ![X0,X1]: (sk0_25(X0)=empty_set|X0=empty_set|~in(X0,sk0_9(sk0_25(X0),X1,empty_set))|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3982,f2885])).
% 7.86/1.35 fof(f4061,plain,(
% 7.86/1.35 spl0_265 <=> ~in(relation_field(sk0_66),sk0_9(sk0_0(empty_set,sk0_66),X0,empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4064,plain,(
% 7.86/1.35 ![X0]: (sk0_0(empty_set,sk0_66)=empty_set|~in(relation_field(sk0_66),sk0_9(sk0_0(empty_set,sk0_66),X0,empty_set))|~spl0_227|~spl0_259|~spl0_28)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3982,f2633])).
% 7.86/1.35 fof(f4065,plain,(
% 7.86/1.35 spl0_129|spl0_265|~spl0_227|~spl0_259|~spl0_28),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4064,f2858,f4061,f3496,f3973,f1714])).
% 7.86/1.35 fof(f4076,plain,(
% 7.86/1.35 ![X0,X1]: (singleton(X0)=empty_set|sk0_9(singleton(X0),X1,empty_set)=X0|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3982,f1346])).
% 7.86/1.35 fof(f4077,plain,(
% 7.86/1.35 ![X0,X1]: (sk0_9(singleton(X0),X1,empty_set)=X0|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f4076,f762])).
% 7.86/1.35 fof(f4082,plain,(
% 7.86/1.35 $false|spl0_262),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f4042,f692])).
% 7.86/1.35 fof(f4083,plain,(
% 7.86/1.35 spl0_262),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f4082])).
% 7.86/1.35 fof(f4130,plain,(
% 7.86/1.35 in(empty_set,relation_field(sk0_66))|~spl0_129|~spl0_28),
% 7.86/1.35 inference(backward_demodulation,[status(thm)],[f2859,f1715])).
% 7.86/1.35 fof(f4132,plain,(
% 7.86/1.35 spl0_268 <=> in(empty_set,empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4133,plain,(
% 7.86/1.35 in(empty_set,empty_set)|~spl0_268),
% 7.86/1.35 inference(component_clause,[status(thm)],[f4132])).
% 7.86/1.35 fof(f4147,plain,(
% 7.86/1.35 spl0_271 <=> in(sk0_0(empty_set,sk0_66),empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4148,plain,(
% 7.86/1.35 in(sk0_0(empty_set,sk0_66),empty_set)|~spl0_271),
% 7.86/1.35 inference(component_clause,[status(thm)],[f4147])).
% 7.86/1.35 fof(f4150,plain,(
% 7.86/1.35 spl0_272 <=> ~in(sk0_66,X0)|~in(X0,ordered_pair(empty_set,sk0_1(empty_set,sk0_66)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4153,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(empty_set)|in(sk0_0(empty_set,sk0_66),empty_set)|~in(sk0_66,X0)|~in(X0,ordered_pair(empty_set,sk0_1(empty_set,sk0_66)))|~spl0_129)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2859,f1650])).
% 7.86/1.35 fof(f4154,plain,(
% 7.86/1.35 spl0_24|spl0_271|spl0_272|~spl0_129),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4153,f1664,f4147,f4150,f2858])).
% 7.86/1.35 fof(f4155,plain,(
% 7.86/1.35 spl0_273 <=> in(ordered_pair(empty_set,sk0_1(empty_set,sk0_66)),sk0_66)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4156,plain,(
% 7.86/1.35 in(ordered_pair(empty_set,sk0_1(empty_set,sk0_66)),sk0_66)|~spl0_273),
% 7.86/1.35 inference(component_clause,[status(thm)],[f4155])).
% 7.86/1.35 fof(f4163,plain,(
% 7.86/1.35 spl0_275 <=> in(sk0_66,ordered_pair(empty_set,sk0_1(empty_set,sk0_66)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4168,plain,(
% 7.86/1.35 spl0_276 <=> in(empty_set,relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4175,plain,(
% 7.86/1.35 sk0_66=identity_relation(empty_set)|in(sk0_0(empty_set,sk0_66),empty_set)|in(empty_set,relation_field(sk0_66))|~spl0_20|~spl0_129),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2859,f1645])).
% 7.86/1.35 fof(f4176,plain,(
% 7.86/1.35 spl0_24|spl0_271|spl0_276|~spl0_20|~spl0_129),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4175,f1664,f4147,f4168,f1644,f2858])).
% 7.86/1.35 fof(f4179,plain,(
% 7.86/1.35 sk0_66=identity_relation(empty_set)|in(ordered_pair(empty_set,sk0_1(empty_set,sk0_66)),sk0_66)|in(sk0_0(empty_set,sk0_66),empty_set)|~spl0_129),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2859,f1625])).
% 7.86/1.35 fof(f4180,plain,(
% 7.86/1.35 spl0_24|spl0_273|spl0_271|~spl0_129),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4179,f1664,f4155,f4147,f2858])).
% 7.86/1.35 fof(f4181,plain,(
% 7.86/1.35 sk0_66=identity_relation(empty_set)|in(sk0_0(empty_set,sk0_66),empty_set)|~in(sk0_66,ordered_pair(empty_set,sk0_1(empty_set,sk0_66)))|~spl0_129),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2859,f1652])).
% 7.86/1.35 fof(f4182,plain,(
% 7.86/1.35 spl0_24|spl0_271|~spl0_275|~spl0_129),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4181,f1664,f4147,f4163,f2858])).
% 7.86/1.35 fof(f4183,plain,(
% 7.86/1.35 in(empty_set,empty_set)|~spl0_129|~spl0_271),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f2859,f4148])).
% 7.86/1.35 fof(f4184,plain,(
% 7.86/1.35 $false|~spl0_129|~spl0_271),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f4183,f1348])).
% 7.86/1.35 fof(f4185,plain,(
% 7.86/1.35 ~spl0_129|~spl0_271),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f4184])).
% 7.86/1.35 fof(f4210,plain,(
% 7.86/1.35 spl0_280 <=> empty_set=empty_set),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4298,plain,(
% 7.86/1.35 spl0_292 <=> in(ordered_pair(sk0_0(empty_set,sk0_66),sk0_1(empty_set,sk0_66)),sk0_66)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4300,plain,(
% 7.86/1.35 ~in(ordered_pair(sk0_0(empty_set,sk0_66),sk0_1(empty_set,sk0_66)),sk0_66)|spl0_292),
% 7.86/1.35 inference(component_clause,[status(thm)],[f4298])).
% 7.86/1.35 fof(f4303,plain,(
% 7.86/1.35 ~in(ordered_pair(empty_set,sk0_1(empty_set,sk0_66)),sk0_66)|~spl0_129|spl0_292),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f2859,f4300])).
% 7.86/1.35 fof(f4341,plain,(
% 7.86/1.35 spl0_293 <=> sk0_66=identity_relation(X0)|sk0_0(X0,sk0_66)=sk0_1(X0,sk0_66)|in(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),relation_field(identity_relation(sk0_66)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4344,plain,(
% 7.86/1.35 ![X0]: (sk0_66=identity_relation(X0)|sk0_0(X0,sk0_66)=sk0_1(X0,sk0_66)|~relation(identity_relation(sk0_66))|in(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),relation_field(identity_relation(sk0_66))))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1812,f1017])).
% 7.86/1.35 fof(f4345,plain,(
% 7.86/1.35 spl0_293|~spl0_37),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4344,f4341,f1822])).
% 7.86/1.35 fof(f4352,plain,(
% 7.86/1.35 spl0_294 <=> in(ordered_pair(ordered_pair(empty_set,sk0_1(empty_set,sk0_66)),ordered_pair(sk0_0(empty_set,sk0_66),sk0_1(empty_set,sk0_66))),identity_relation(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4357,plain,(
% 7.86/1.35 spl0_295 <=> in(ordered_pair(ordered_pair(sk0_0(empty_set,sk0_66),sk0_1(empty_set,sk0_66)),ordered_pair(empty_set,sk0_1(empty_set,sk0_66))),identity_relation(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4463,plain,(
% 7.86/1.35 spl0_296 <=> X0=relation_inverse_image(sk0_82,X1)|in(sk0_9(X0,X1,sk0_82),X0)|in(apply(sk0_82,sk0_9(X0,X1,sk0_82)),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4464,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_82,X1)|in(sk0_9(X0,X1,sk0_82),X0)|in(apply(sk0_82,sk0_9(X0,X1,sk0_82)),X1)|~spl0_296)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f4463])).
% 7.86/1.35 fof(f4466,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_82)|X0=relation_inverse_image(sk0_82,X1)|in(sk0_9(X0,X1,sk0_82),X0)|in(apply(sk0_82,sk0_9(X0,X1,sk0_82)),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f365,f855])).
% 7.86/1.35 fof(f4467,plain,(
% 7.86/1.35 ~spl0_58|spl0_296),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4466,f2266,f4463])).
% 7.86/1.35 fof(f4468,plain,(
% 7.86/1.35 spl0_297 <=> X0=relation_inverse_image(sk0_79,X1)|in(sk0_9(X0,X1,sk0_79),X0)|in(apply(sk0_79,sk0_9(X0,X1,sk0_79)),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4469,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_79,X1)|in(sk0_9(X0,X1,sk0_79),X0)|in(apply(sk0_79,sk0_9(X0,X1,sk0_79)),X1)|~spl0_297)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f4468])).
% 7.86/1.35 fof(f4471,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_79)|X0=relation_inverse_image(sk0_79,X1)|in(sk0_9(X0,X1,sk0_79),X0)|in(apply(sk0_79,sk0_9(X0,X1,sk0_79)),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f365,f842])).
% 7.86/1.35 fof(f4472,plain,(
% 7.86/1.35 ~spl0_67|spl0_297),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4471,f2319,f4468])).
% 7.86/1.35 fof(f4473,plain,(
% 7.86/1.35 spl0_298 <=> X0=relation_inverse_image(sk0_69,X1)|in(sk0_9(X0,X1,sk0_69),X0)|in(apply(sk0_69,sk0_9(X0,X1,sk0_69)),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4474,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_69,X1)|in(sk0_9(X0,X1,sk0_69),X0)|in(apply(sk0_69,sk0_9(X0,X1,sk0_69)),X1)|~spl0_298)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f4473])).
% 7.86/1.35 fof(f4476,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_69)|X0=relation_inverse_image(sk0_69,X1)|in(sk0_9(X0,X1,sk0_69),X0)|in(apply(sk0_69,sk0_9(X0,X1,sk0_69)),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f365,f806])).
% 7.86/1.35 fof(f4477,plain,(
% 7.86/1.35 ~spl0_75|spl0_298),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4476,f2369,f4473])).
% 7.86/1.35 fof(f4478,plain,(
% 7.86/1.35 spl0_299 <=> X0=relation_inverse_image(empty_set,X1)|in(sk0_9(X0,X1,empty_set),X0)|in(apply(empty_set,sk0_9(X0,X1,empty_set)),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4481,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(empty_set)|X0=relation_inverse_image(empty_set,X1)|in(sk0_9(X0,X1,empty_set),X0)|in(apply(empty_set,sk0_9(X0,X1,empty_set)),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f365,f692])).
% 7.86/1.35 fof(f4482,plain,(
% 7.86/1.35 ~spl0_16|spl0_299),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4481,f1527,f4478])).
% 7.86/1.35 fof(f4543,plain,(
% 7.86/1.35 ~empty(empty_set)|~spl0_146),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2955,f686])).
% 7.86/1.35 fof(f4544,plain,(
% 7.86/1.35 $false|~spl0_146),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f4543,f671])).
% 7.86/1.35 fof(f4545,plain,(
% 7.86/1.35 ~spl0_146),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f4544])).
% 7.86/1.35 fof(f4622,plain,(
% 7.86/1.35 ![X0]: (sk0_9(succ(empty_set),X0,empty_set)=empty_set|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2783,f4077])).
% 7.86/1.35 fof(f4624,plain,(
% 7.86/1.35 spl0_313 <=> singleton(X0)=relation_inverse_image(empty_set,X1)|~in(X0,singleton(X0))|~in(sk0_9(singleton(X0),X1,empty_set),relation_dom(empty_set))|~in(apply(empty_set,sk0_9(singleton(X0),X1,empty_set)),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4627,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(empty_set)|~function(empty_set)|singleton(X0)=relation_inverse_image(empty_set,X1)|~in(X0,singleton(X0))|~in(sk0_9(singleton(X0),X1,empty_set),relation_dom(empty_set))|~in(apply(empty_set,sk0_9(singleton(X0),X1,empty_set)),X1)|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f4077,f363])).
% 7.86/1.35 fof(f4628,plain,(
% 7.86/1.35 ~spl0_16|~spl0_262|spl0_313|~spl0_227|~spl0_259),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4627,f1527,f4040,f4624,f3496,f3973])).
% 7.86/1.35 fof(f4794,plain,(
% 7.86/1.35 ![X0,X1]: (subset(sk0_9(powerset(X0),X1,empty_set),X0)|powerset(X0)=empty_set|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(resolution,[status(thm)],[f1349,f3982])).
% 7.86/1.35 fof(f4914,plain,(
% 7.86/1.35 spl0_314 <=> in(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),relation_image(identity_relation(sk0_66),X1))|~in(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),X1)|sk0_66=identity_relation(X0)|sk0_0(X0,sk0_66)=sk0_1(X0,sk0_66)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4917,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(identity_relation(sk0_66))|in(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),relation_image(identity_relation(sk0_66),X1))|~in(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),X1)|sk0_66=identity_relation(X0)|sk0_0(X0,sk0_66)=sk0_1(X0,sk0_66))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1335,f1812])).
% 7.86/1.35 fof(f4918,plain,(
% 7.86/1.35 ~spl0_37|spl0_314),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4917,f1822,f4914])).
% 7.86/1.35 fof(f4919,plain,(
% 7.86/1.35 spl0_315 <=> in(sk0_1(X0,sk0_66),relation_image(identity_relation(relation_field(sk0_66)),X1))|~in(sk0_1(X0,sk0_66),X1)|sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4922,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(identity_relation(relation_field(sk0_66)))|in(sk0_1(X0,sk0_66),relation_image(identity_relation(relation_field(sk0_66)),X1))|~in(sk0_1(X0,sk0_66),X1)|sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|~spl0_19)),
% 7.86/1.35 inference(resolution,[status(thm)],[f1335,f1677])).
% 7.86/1.35 fof(f4923,plain,(
% 7.86/1.35 ~spl0_88|spl0_315|~spl0_19),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4922,f2466,f4919,f1639])).
% 7.86/1.35 fof(f4924,plain,(
% 7.86/1.35 spl0_316 <=> in(sk0_8(X0,sk0_66,X1),relation_image(sk0_66,X2))|~in(sk0_7(X0,sk0_66,X1),X2)|~relation(X1)|sk0_66=relation_rng_restriction(X0,X1)|in(sk0_8(X0,sk0_66,X1),X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4927,plain,(
% 7.86/1.35 ![X0,X1,X2]: (~relation(sk0_66)|in(sk0_8(X0,sk0_66,X1),relation_image(sk0_66,X2))|~in(sk0_7(X0,sk0_66,X1),X2)|~relation(X1)|sk0_66=relation_rng_restriction(X0,X1)|in(sk0_8(X0,sk0_66,X1),X0))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1335,f2912])).
% 7.86/1.35 fof(f4928,plain,(
% 7.86/1.35 ~spl0_14|spl0_316),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4927,f1476,f4924])).
% 7.86/1.35 fof(f4929,plain,(
% 7.86/1.35 spl0_317 <=> in(sk0_3(X0,sk0_66,sk0_66),relation_image(sk0_66,X1))|~in(sk0_2(X0,sk0_66,sk0_66),X1)|sk0_66=relation_dom_restriction(sk0_66,X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4932,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_66)|in(sk0_3(X0,sk0_66,sk0_66),relation_image(sk0_66,X1))|~in(sk0_2(X0,sk0_66,sk0_66),X1)|sk0_66=relation_dom_restriction(sk0_66,X0))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1335,f2739])).
% 7.86/1.35 fof(f4933,plain,(
% 7.86/1.35 ~spl0_14|spl0_317),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4932,f1476,f4929])).
% 7.86/1.35 fof(f4934,plain,(
% 7.86/1.35 spl0_318 <=> in(sk0_3(X0,sk0_66,empty_set),relation_image(sk0_66,X1))|~in(sk0_2(X0,sk0_66,empty_set),X1)|sk0_66=relation_dom_restriction(empty_set,X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4937,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_66)|in(sk0_3(X0,sk0_66,empty_set),relation_image(sk0_66,X1))|~in(sk0_2(X0,sk0_66,empty_set),X1)|sk0_66=relation_dom_restriction(empty_set,X0))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1335,f2737])).
% 7.86/1.35 fof(f4938,plain,(
% 7.86/1.35 ~spl0_14|spl0_318),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4937,f1476,f4934])).
% 7.86/1.35 fof(f4939,plain,(
% 7.86/1.35 spl0_319 <=> in(sk0_3(X0,sk0_66,X1),relation_image(sk0_66,X2))|~in(sk0_2(X0,sk0_66,X1),X2)|~relation(X1)|sk0_66=relation_dom_restriction(X1,X0)|in(sk0_2(X0,sk0_66,X1),X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4942,plain,(
% 7.86/1.35 ![X0,X1,X2]: (~relation(sk0_66)|in(sk0_3(X0,sk0_66,X1),relation_image(sk0_66,X2))|~in(sk0_2(X0,sk0_66,X1),X2)|~relation(X1)|sk0_66=relation_dom_restriction(X1,X0)|in(sk0_2(X0,sk0_66,X1),X0))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1335,f2054])).
% 7.86/1.35 fof(f4943,plain,(
% 7.86/1.35 ~spl0_14|spl0_319),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4942,f1476,f4939])).
% 7.86/1.35 fof(f4946,plain,(
% 7.86/1.35 spl0_320 <=> in(sk0_1(X0,sk0_66),relation_image(sk0_66,X1))|~in(sk0_0(X0,sk0_66),X1)|sk0_66=identity_relation(X0)|sk0_0(X0,sk0_66)=sk0_1(X0,sk0_66)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4949,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_66)|in(sk0_1(X0,sk0_66),relation_image(sk0_66,X1))|~in(sk0_0(X0,sk0_66),X1)|sk0_66=identity_relation(X0)|sk0_0(X0,sk0_66)=sk0_1(X0,sk0_66))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1335,f1636])).
% 7.86/1.35 fof(f4950,plain,(
% 7.86/1.35 ~spl0_14|spl0_320),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4949,f1476,f4946])).
% 7.86/1.35 fof(f4951,plain,(
% 7.86/1.35 spl0_321 <=> in(sk0_1(X0,sk0_66),relation_image(sk0_66,X1))|~in(sk0_0(X0,sk0_66),X1)|sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f4954,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(sk0_66)|in(sk0_1(X0,sk0_66),relation_image(sk0_66,X1))|~in(sk0_0(X0,sk0_66),X1)|sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1335,f1625])).
% 7.86/1.35 fof(f4955,plain,(
% 7.86/1.35 ~spl0_14|spl0_321),
% 7.86/1.35 inference(split_clause,[status(thm)],[f4954,f1476,f4951])).
% 7.86/1.35 fof(f4981,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_image(sk0_66,X1)|in(sk0_11(X0,X1,sk0_66),X0)|in(ordered_pair(sk0_12(X0,X1,sk0_66),sk0_11(X0,X1,sk0_66)),sk0_66))),
% 7.86/1.35 inference(resolution,[status(thm)],[f374,f758])).
% 7.86/1.35 fof(f5069,plain,(
% 7.86/1.35 spl0_332 <=> succ(empty_set)=relation_inverse_image(empty_set,X0)|~in(sk0_9(succ(empty_set),X0,empty_set),relation_dom(empty_set))|~in(apply(empty_set,sk0_9(succ(empty_set),X0,empty_set)),X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5072,plain,(
% 7.86/1.35 ![X0]: (~relation(empty_set)|~function(empty_set)|succ(empty_set)=relation_inverse_image(empty_set,X0)|~in(empty_set,succ(empty_set))|~in(sk0_9(succ(empty_set),X0,empty_set),relation_dom(empty_set))|~in(apply(empty_set,sk0_9(succ(empty_set),X0,empty_set)),X0)|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f4622,f363])).
% 7.86/1.35 fof(f5073,plain,(
% 7.86/1.35 ~spl0_16|~spl0_262|spl0_332|~spl0_136|~spl0_227|~spl0_259),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5072,f1527,f4040,f5069,f2893,f3496,f3973])).
% 7.86/1.35 fof(f5080,plain,(
% 7.86/1.35 spl0_333 <=> in(sk0_1(empty_set,sk0_66),relation_image(sk0_66,X0))|~in(empty_set,X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5083,plain,(
% 7.86/1.35 ![X0]: (~relation(sk0_66)|in(sk0_1(empty_set,sk0_66),relation_image(sk0_66,X0))|~in(empty_set,X0)|~spl0_273)),
% 7.86/1.35 inference(resolution,[status(thm)],[f4156,f1335])).
% 7.86/1.35 fof(f5084,plain,(
% 7.86/1.35 ~spl0_14|spl0_333|~spl0_273),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5083,f1476,f5080,f4155])).
% 7.86/1.35 fof(f5087,plain,(
% 7.86/1.35 ~relation(sk0_66)|in(empty_set,relation_field(sk0_66))|~spl0_273),
% 7.86/1.35 inference(resolution,[status(thm)],[f4156,f1016])).
% 7.86/1.35 fof(f5088,plain,(
% 7.86/1.35 ~spl0_14|spl0_276|~spl0_273),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5087,f1476,f4168,f4155])).
% 7.86/1.35 fof(f5094,plain,(
% 7.86/1.35 $false|~spl0_273|~spl0_129|spl0_292),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f4303,f4156])).
% 7.86/1.35 fof(f5095,plain,(
% 7.86/1.35 ~spl0_273|~spl0_129|spl0_292),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f5094])).
% 7.86/1.35 fof(f5130,plain,(
% 7.86/1.35 spl0_334 <=> X0=relation_image(sk0_66,X1)|in(sk0_11(X0,X1,sk0_66),X0)|in(sk0_11(X0,X1,sk0_66),relation_image(sk0_66,X2))|~in(sk0_12(X0,X1,sk0_66),X2)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5133,plain,(
% 7.86/1.35 ![X0,X1,X2]: (X0=relation_image(sk0_66,X1)|in(sk0_11(X0,X1,sk0_66),X0)|~relation(sk0_66)|in(sk0_11(X0,X1,sk0_66),relation_image(sk0_66,X2))|~in(sk0_12(X0,X1,sk0_66),X2))),
% 7.86/1.35 inference(resolution,[status(thm)],[f4981,f1335])).
% 7.86/1.35 fof(f5134,plain,(
% 7.86/1.35 spl0_334|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5133,f5130,f1476])).
% 7.86/1.35 fof(f5135,plain,(
% 7.86/1.35 spl0_335 <=> X0=relation_image(sk0_66,X1)|in(sk0_11(X0,X1,sk0_66),X0)|in(sk0_11(X0,X1,sk0_66),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5138,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_image(sk0_66,X1)|in(sk0_11(X0,X1,sk0_66),X0)|~relation(sk0_66)|in(sk0_11(X0,X1,sk0_66),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f4981,f1017])).
% 7.86/1.35 fof(f5139,plain,(
% 7.86/1.35 spl0_335|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5138,f5135,f1476])).
% 7.86/1.35 fof(f5140,plain,(
% 7.86/1.35 spl0_336 <=> X0=relation_image(sk0_66,X1)|in(sk0_11(X0,X1,sk0_66),X0)|in(sk0_12(X0,X1,sk0_66),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5143,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_image(sk0_66,X1)|in(sk0_11(X0,X1,sk0_66),X0)|~relation(sk0_66)|in(sk0_12(X0,X1,sk0_66),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f4981,f1016])).
% 7.86/1.35 fof(f5144,plain,(
% 7.86/1.35 spl0_336|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5143,f5140,f1476])).
% 7.86/1.35 fof(f5403,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_image(sk0_66,X1)|in(sk0_11(X0,X1,sk0_66),X0)|in(sk0_12(X0,X1,sk0_66),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f375,f758])).
% 7.86/1.35 fof(f5415,plain,(
% 7.86/1.35 spl0_339 <=> ~in(X0,empty_set)|in(ordered_pair(X0,sk0_13(X0,relation_inverse_image(empty_set,X1),X1,empty_set)),empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5418,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(empty_set)|~in(X0,empty_set)|in(ordered_pair(X0,sk0_13(X0,relation_inverse_image(empty_set,X1),X1,empty_set)),empty_set)|~spl0_227)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f3622,f1336])).
% 7.86/1.35 fof(f5419,plain,(
% 7.86/1.35 ~spl0_16|spl0_339|~spl0_227),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5418,f1527,f5415,f3496])).
% 7.86/1.35 fof(f5430,plain,(
% 7.86/1.35 spl0_340 <=> ~in(X0,empty_set)|in(sk0_13(X0,relation_inverse_image(empty_set,X1),X1,empty_set),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5433,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(empty_set)|~in(X0,empty_set)|in(sk0_13(X0,relation_inverse_image(empty_set,X1),X1,empty_set),X1)|~spl0_227)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f3622,f1337])).
% 7.86/1.35 fof(f5434,plain,(
% 7.86/1.35 ~spl0_16|spl0_340|~spl0_227),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5433,f1527,f5430,f3496])).
% 7.86/1.35 fof(f5507,plain,(
% 7.86/1.35 ![X0,X1]: (sk0_25(singleton(X0))=empty_set|singleton(X0)=empty_set|~in(singleton(X0),sk0_9(X0,X1,empty_set))|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2883,f4048])).
% 7.86/1.35 fof(f5508,plain,(
% 7.86/1.35 ![X0,X1]: (X0=empty_set|singleton(X0)=empty_set|~in(singleton(X0),sk0_9(X0,X1,empty_set))|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f2883,f5507])).
% 7.86/1.35 fof(f5509,plain,(
% 7.86/1.35 ![X0,X1]: (X0=empty_set|~in(singleton(X0),sk0_9(X0,X1,empty_set))|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f5508,f762])).
% 7.86/1.35 fof(f5512,plain,(
% 7.86/1.35 spl0_345 <=> in(singleton(succ(empty_set)),empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5515,plain,(
% 7.86/1.35 succ(empty_set)=empty_set|~in(singleton(succ(empty_set)),empty_set)|~spl0_227|~spl0_259),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f4622,f5509])).
% 7.86/1.35 fof(f5516,plain,(
% 7.86/1.35 spl0_135|~spl0_345|~spl0_227|~spl0_259),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5515,f2890,f5512,f3496,f3973])).
% 7.86/1.35 fof(f5518,plain,(
% 7.86/1.35 spl0_346 <=> powerset(empty_set)=empty_set),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5519,plain,(
% 7.86/1.35 powerset(empty_set)=empty_set|~spl0_346),
% 7.86/1.35 inference(component_clause,[status(thm)],[f5518])).
% 7.86/1.35 fof(f5521,plain,(
% 7.86/1.35 spl0_347 <=> sk0_9(powerset(empty_set),X0,empty_set)=empty_set),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5524,plain,(
% 7.86/1.35 ![X0]: (powerset(empty_set)=empty_set|sk0_9(powerset(empty_set),X0,empty_set)=empty_set|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(resolution,[status(thm)],[f4794,f1086])).
% 7.86/1.35 fof(f5525,plain,(
% 7.86/1.35 spl0_346|spl0_347|~spl0_227|~spl0_259),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5524,f5518,f5521,f3496,f3973])).
% 7.86/1.35 fof(f5529,plain,(
% 7.86/1.35 ![X0,X1]: (powerset(X0)=empty_set|set_union2(sk0_9(powerset(X0),X1,empty_set),X0)=X0|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(resolution,[status(thm)],[f4794,f907])).
% 7.86/1.35 fof(f5530,plain,(
% 7.86/1.35 ![X0,X1]: (powerset(X0)=empty_set|set_union2(X0,sk0_9(powerset(X0),X1,empty_set))=X0|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f307,f5529])).
% 7.86/1.35 fof(f5532,plain,(
% 7.86/1.35 spl0_348 <=> subset(sk0_9(succ(empty_set),X0,empty_set),empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5535,plain,(
% 7.86/1.35 ![X0]: (subset(sk0_9(succ(empty_set),X0,empty_set),empty_set)|powerset(empty_set)=empty_set|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2791,f4794])).
% 7.86/1.35 fof(f5536,plain,(
% 7.86/1.35 spl0_348|spl0_346|~spl0_227|~spl0_259),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5535,f5532,f5518,f3496,f3973])).
% 7.86/1.35 fof(f5537,plain,(
% 7.86/1.35 succ(empty_set)=empty_set|~spl0_346),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f2791,f5519])).
% 7.86/1.35 fof(f5538,plain,(
% 7.86/1.35 $false|~spl0_346),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f5537,f2803])).
% 7.86/1.35 fof(f5539,plain,(
% 7.86/1.35 ~spl0_346),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f5538])).
% 7.86/1.35 fof(f5553,plain,(
% 7.86/1.35 spl0_349 <=> relation_dom(sk0_82)=relation_inverse_image(sk0_82,X0)|relation_dom(sk0_82)=relation_inverse_image(sk0_82,X0)|~in(sk0_9(relation_dom(sk0_82),X0,sk0_82),relation_dom(sk0_82))|~in(apply(sk0_82,sk0_9(relation_dom(sk0_82),X0,sk0_82)),X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5556,plain,(
% 7.86/1.35 spl0_350 <=> function(sk0_82)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5558,plain,(
% 7.86/1.35 ~function(sk0_82)|spl0_350),
% 7.86/1.35 inference(component_clause,[status(thm)],[f5556])).
% 7.86/1.35 fof(f5559,plain,(
% 7.86/1.35 ![X0]: (relation_dom(sk0_82)=relation_inverse_image(sk0_82,X0)|~relation(sk0_82)|~function(sk0_82)|relation_dom(sk0_82)=relation_inverse_image(sk0_82,X0)|~in(sk0_9(relation_dom(sk0_82),X0,sk0_82),relation_dom(sk0_82))|~in(apply(sk0_82,sk0_9(relation_dom(sk0_82),X0,sk0_82)),X0)|~spl0_256)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3959,f363])).
% 7.86/1.35 fof(f5560,plain,(
% 7.86/1.35 spl0_349|~spl0_58|~spl0_350|~spl0_256),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5559,f5553,f2266,f5556,f3958])).
% 7.86/1.35 fof(f5561,plain,(
% 7.86/1.35 spl0_351 <=> X0=relation_inverse_image(sk0_82,X1)|in(sk0_9(X0,X1,sk0_82),relation_dom(sk0_82))|X0=relation_inverse_image(sk0_82,X1)|~in(sk0_9(X0,X1,sk0_82),relation_dom(sk0_82))|~in(apply(sk0_82,sk0_9(X0,X1,sk0_82)),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5564,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_82,X1)|in(sk0_9(X0,X1,sk0_82),relation_dom(sk0_82))|~relation(sk0_82)|~function(sk0_82)|X0=relation_inverse_image(sk0_82,X1)|~in(sk0_9(X0,X1,sk0_82),relation_dom(sk0_82))|~in(apply(sk0_82,sk0_9(X0,X1,sk0_82)),X1)|~spl0_256)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3959,f363])).
% 7.86/1.35 fof(f5565,plain,(
% 7.86/1.35 spl0_351|~spl0_58|~spl0_350|~spl0_256),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5564,f5561,f2266,f5556,f3958])).
% 7.86/1.35 fof(f5597,plain,(
% 7.86/1.35 spl0_352 <=> relation_dom(sk0_82)=relation_inverse_image(sk0_82,X0)|in(sk0_9(relation_dom(sk0_82),X0,sk0_82),relation_dom(sk0_82))|relation_dom(sk0_82)=relation_inverse_image(sk0_82,X0)|~in(sk0_9(relation_dom(sk0_82),X0,sk0_82),relation_dom(sk0_82))|~in(apply(sk0_82,sk0_9(relation_dom(sk0_82),X0,sk0_82)),X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5600,plain,(
% 7.86/1.35 ![X0]: (relation_dom(sk0_82)=relation_inverse_image(sk0_82,X0)|in(sk0_9(relation_dom(sk0_82),X0,sk0_82),relation_dom(sk0_82))|~relation(sk0_82)|~function(sk0_82)|relation_dom(sk0_82)=relation_inverse_image(sk0_82,X0)|~in(sk0_9(relation_dom(sk0_82),X0,sk0_82),relation_dom(sk0_82))|~in(apply(sk0_82,sk0_9(relation_dom(sk0_82),X0,sk0_82)),X0)|~spl0_256)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3959,f363])).
% 7.86/1.35 fof(f5601,plain,(
% 7.86/1.35 spl0_352|~spl0_58|~spl0_350|~spl0_256),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5600,f5597,f2266,f5556,f3958])).
% 7.86/1.35 fof(f5606,plain,(
% 7.86/1.35 $false|spl0_350),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f5558,f855])).
% 7.86/1.35 fof(f5607,plain,(
% 7.86/1.35 spl0_350),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f5606])).
% 7.86/1.35 fof(f5609,plain,(
% 7.86/1.35 spl0_353 <=> relation_dom(sk0_79)=relation_inverse_image(sk0_79,X0)|relation_dom(sk0_79)=relation_inverse_image(sk0_79,X0)|~in(sk0_9(relation_dom(sk0_79),X0,sk0_79),relation_dom(sk0_79))|~in(apply(sk0_79,sk0_9(relation_dom(sk0_79),X0,sk0_79)),X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5612,plain,(
% 7.86/1.35 spl0_354 <=> function(sk0_79)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5614,plain,(
% 7.86/1.35 ~function(sk0_79)|spl0_354),
% 7.86/1.35 inference(component_clause,[status(thm)],[f5612])).
% 7.86/1.35 fof(f5615,plain,(
% 7.86/1.35 ![X0]: (relation_dom(sk0_79)=relation_inverse_image(sk0_79,X0)|~relation(sk0_79)|~function(sk0_79)|relation_dom(sk0_79)=relation_inverse_image(sk0_79,X0)|~in(sk0_9(relation_dom(sk0_79),X0,sk0_79),relation_dom(sk0_79))|~in(apply(sk0_79,sk0_9(relation_dom(sk0_79),X0,sk0_79)),X0)|~spl0_257)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3964,f363])).
% 7.86/1.35 fof(f5616,plain,(
% 7.86/1.35 spl0_353|~spl0_67|~spl0_354|~spl0_257),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5615,f5609,f2319,f5612,f3963])).
% 7.86/1.35 fof(f5617,plain,(
% 7.86/1.35 spl0_355 <=> X0=relation_inverse_image(sk0_79,X1)|in(sk0_9(X0,X1,sk0_79),relation_dom(sk0_79))|X0=relation_inverse_image(sk0_79,X1)|~in(sk0_9(X0,X1,sk0_79),relation_dom(sk0_79))|~in(apply(sk0_79,sk0_9(X0,X1,sk0_79)),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5620,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_79,X1)|in(sk0_9(X0,X1,sk0_79),relation_dom(sk0_79))|~relation(sk0_79)|~function(sk0_79)|X0=relation_inverse_image(sk0_79,X1)|~in(sk0_9(X0,X1,sk0_79),relation_dom(sk0_79))|~in(apply(sk0_79,sk0_9(X0,X1,sk0_79)),X1)|~spl0_257)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3964,f363])).
% 7.86/1.35 fof(f5621,plain,(
% 7.86/1.35 spl0_355|~spl0_67|~spl0_354|~spl0_257),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5620,f5617,f2319,f5612,f3963])).
% 7.86/1.35 fof(f5653,plain,(
% 7.86/1.35 spl0_356 <=> relation_dom(sk0_79)=relation_inverse_image(sk0_79,X0)|in(sk0_9(relation_dom(sk0_79),X0,sk0_79),relation_dom(sk0_79))|relation_dom(sk0_79)=relation_inverse_image(sk0_79,X0)|~in(sk0_9(relation_dom(sk0_79),X0,sk0_79),relation_dom(sk0_79))|~in(apply(sk0_79,sk0_9(relation_dom(sk0_79),X0,sk0_79)),X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5656,plain,(
% 7.86/1.35 ![X0]: (relation_dom(sk0_79)=relation_inverse_image(sk0_79,X0)|in(sk0_9(relation_dom(sk0_79),X0,sk0_79),relation_dom(sk0_79))|~relation(sk0_79)|~function(sk0_79)|relation_dom(sk0_79)=relation_inverse_image(sk0_79,X0)|~in(sk0_9(relation_dom(sk0_79),X0,sk0_79),relation_dom(sk0_79))|~in(apply(sk0_79,sk0_9(relation_dom(sk0_79),X0,sk0_79)),X0)|~spl0_257)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3964,f363])).
% 7.86/1.35 fof(f5657,plain,(
% 7.86/1.35 spl0_356|~spl0_67|~spl0_354|~spl0_257),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5656,f5653,f2319,f5612,f3963])).
% 7.86/1.35 fof(f5662,plain,(
% 7.86/1.35 $false|spl0_354),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f5614,f842])).
% 7.86/1.35 fof(f5663,plain,(
% 7.86/1.35 spl0_354),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f5662])).
% 7.86/1.35 fof(f5665,plain,(
% 7.86/1.35 spl0_357 <=> relation_dom(sk0_69)=relation_inverse_image(sk0_69,X0)|relation_dom(sk0_69)=relation_inverse_image(sk0_69,X0)|~in(sk0_9(relation_dom(sk0_69),X0,sk0_69),relation_dom(sk0_69))|~in(apply(sk0_69,sk0_9(relation_dom(sk0_69),X0,sk0_69)),X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5668,plain,(
% 7.86/1.35 spl0_358 <=> function(sk0_69)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5670,plain,(
% 7.86/1.35 ~function(sk0_69)|spl0_358),
% 7.86/1.35 inference(component_clause,[status(thm)],[f5668])).
% 7.86/1.35 fof(f5671,plain,(
% 7.86/1.35 ![X0]: (relation_dom(sk0_69)=relation_inverse_image(sk0_69,X0)|~relation(sk0_69)|~function(sk0_69)|relation_dom(sk0_69)=relation_inverse_image(sk0_69,X0)|~in(sk0_9(relation_dom(sk0_69),X0,sk0_69),relation_dom(sk0_69))|~in(apply(sk0_69,sk0_9(relation_dom(sk0_69),X0,sk0_69)),X0)|~spl0_258)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3969,f363])).
% 7.86/1.35 fof(f5672,plain,(
% 7.86/1.35 spl0_357|~spl0_75|~spl0_358|~spl0_258),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5671,f5665,f2369,f5668,f3968])).
% 7.86/1.35 fof(f5673,plain,(
% 7.86/1.35 spl0_359 <=> X0=relation_inverse_image(sk0_69,X1)|in(sk0_9(X0,X1,sk0_69),relation_dom(sk0_69))|X0=relation_inverse_image(sk0_69,X1)|~in(sk0_9(X0,X1,sk0_69),relation_dom(sk0_69))|~in(apply(sk0_69,sk0_9(X0,X1,sk0_69)),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5676,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_69,X1)|in(sk0_9(X0,X1,sk0_69),relation_dom(sk0_69))|~relation(sk0_69)|~function(sk0_69)|X0=relation_inverse_image(sk0_69,X1)|~in(sk0_9(X0,X1,sk0_69),relation_dom(sk0_69))|~in(apply(sk0_69,sk0_9(X0,X1,sk0_69)),X1)|~spl0_258)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3969,f363])).
% 7.86/1.35 fof(f5677,plain,(
% 7.86/1.35 spl0_359|~spl0_75|~spl0_358|~spl0_258),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5676,f5673,f2369,f5668,f3968])).
% 7.86/1.35 fof(f5709,plain,(
% 7.86/1.35 spl0_360 <=> relation_dom(sk0_69)=relation_inverse_image(sk0_69,X0)|in(sk0_9(relation_dom(sk0_69),X0,sk0_69),relation_dom(sk0_69))|relation_dom(sk0_69)=relation_inverse_image(sk0_69,X0)|~in(sk0_9(relation_dom(sk0_69),X0,sk0_69),relation_dom(sk0_69))|~in(apply(sk0_69,sk0_9(relation_dom(sk0_69),X0,sk0_69)),X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5712,plain,(
% 7.86/1.35 ![X0]: (relation_dom(sk0_69)=relation_inverse_image(sk0_69,X0)|in(sk0_9(relation_dom(sk0_69),X0,sk0_69),relation_dom(sk0_69))|~relation(sk0_69)|~function(sk0_69)|relation_dom(sk0_69)=relation_inverse_image(sk0_69,X0)|~in(sk0_9(relation_dom(sk0_69),X0,sk0_69),relation_dom(sk0_69))|~in(apply(sk0_69,sk0_9(relation_dom(sk0_69),X0,sk0_69)),X0)|~spl0_258)),
% 7.86/1.35 inference(resolution,[status(thm)],[f3969,f363])).
% 7.86/1.35 fof(f5713,plain,(
% 7.86/1.35 spl0_360|~spl0_75|~spl0_358|~spl0_258),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5712,f5709,f2369,f5668,f3968])).
% 7.86/1.35 fof(f5718,plain,(
% 7.86/1.35 $false|spl0_358),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f5670,f806])).
% 7.86/1.35 fof(f5719,plain,(
% 7.86/1.35 spl0_358),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f5718])).
% 7.86/1.35 fof(f5726,plain,(
% 7.86/1.35 spl0_361 <=> X0=relation_image(sk0_66,X1)|in(sk0_12(X0,X1,sk0_66),X1)|X0=relation_image(sk0_66,X1)|~in(ordered_pair(X2,sk0_11(X0,X1,sk0_66)),sk0_66)|~in(X2,X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5729,plain,(
% 7.86/1.35 ![X0,X1,X2]: (X0=relation_image(sk0_66,X1)|in(sk0_12(X0,X1,sk0_66),X1)|~relation(sk0_66)|X0=relation_image(sk0_66,X1)|~in(ordered_pair(X2,sk0_11(X0,X1,sk0_66)),sk0_66)|~in(X2,X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f5403,f373])).
% 7.86/1.35 fof(f5730,plain,(
% 7.86/1.35 spl0_361|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5729,f5726,f1476])).
% 7.86/1.35 fof(f5809,plain,(
% 7.86/1.35 spl0_362 <=> sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|in(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),relation_image(identity_relation(sk0_66),X1))|~in(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5812,plain,(
% 7.86/1.35 ![X0,X1]: (sk0_66=identity_relation(X0)|in(sk0_0(X0,sk0_66),X0)|~relation(identity_relation(sk0_66))|in(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),relation_image(identity_relation(sk0_66),X1))|~in(ordered_pair(sk0_0(X0,sk0_66),sk0_1(X0,sk0_66)),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1798,f1335])).
% 7.86/1.35 fof(f5813,plain,(
% 7.86/1.35 spl0_362|~spl0_37),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5812,f5809,f1822])).
% 7.86/1.35 fof(f5824,plain,(
% 7.86/1.35 sk0_66=identity_relation(empty_set)|in(sk0_0(empty_set,sk0_66),empty_set)|in(ordered_pair(ordered_pair(empty_set,sk0_1(empty_set,sk0_66)),ordered_pair(sk0_0(empty_set,sk0_66),sk0_1(empty_set,sk0_66))),identity_relation(sk0_66))|~spl0_129),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2859,f1798])).
% 7.86/1.35 fof(f5825,plain,(
% 7.86/1.35 spl0_24|spl0_271|spl0_294|~spl0_129),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5824,f1664,f4147,f4352,f2858])).
% 7.86/1.35 fof(f5830,plain,(
% 7.86/1.35 sk0_66=identity_relation(empty_set)|in(sk0_0(empty_set,sk0_66),empty_set)|in(ordered_pair(ordered_pair(sk0_0(empty_set,sk0_66),sk0_1(empty_set,sk0_66)),ordered_pair(empty_set,sk0_1(empty_set,sk0_66))),identity_relation(sk0_66))|~spl0_129),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2859,f1798])).
% 7.86/1.35 fof(f5831,plain,(
% 7.86/1.35 spl0_24|spl0_271|spl0_295|~spl0_129),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5830,f1664,f4147,f4357,f2858])).
% 7.86/1.35 fof(f5895,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(empty_set,X1)|in(sk0_14(X0,X1,empty_set),X0)|in(ordered_pair(sk0_14(X0,X1,empty_set),sk0_15(X0,X1,empty_set)),empty_set))),
% 7.86/1.35 inference(resolution,[status(thm)],[f384,f672])).
% 7.86/1.35 fof(f5896,plain,(
% 7.86/1.35 ![X0,X1]: (X0=empty_set|in(sk0_14(X0,X1,empty_set),X0)|in(ordered_pair(sk0_14(X0,X1,empty_set),sk0_15(X0,X1,empty_set)),empty_set)|~spl0_227)),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f3622,f5895])).
% 7.86/1.35 fof(f5897,plain,(
% 7.86/1.35 ![X0,X1]: (X0=empty_set|in(sk0_14(X0,X1,empty_set),X0)|~spl0_227)),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f5896,f1348])).
% 7.86/1.35 fof(f5898,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_66,X1)|in(sk0_14(X0,X1,sk0_66),X0)|in(ordered_pair(sk0_14(X0,X1,sk0_66),sk0_15(X0,X1,sk0_66)),sk0_66))),
% 7.86/1.35 inference(resolution,[status(thm)],[f384,f758])).
% 7.86/1.35 fof(f5927,plain,(
% 7.86/1.35 spl0_363 <=> X0=empty_set|X0=relation_inverse_image(empty_set,X1)|~in(ordered_pair(sk0_14(X0,X1,empty_set),X2),empty_set)|~in(X2,X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5930,plain,(
% 7.86/1.35 ![X0,X1,X2]: (X0=empty_set|~relation(empty_set)|X0=relation_inverse_image(empty_set,X1)|~in(ordered_pair(sk0_14(X0,X1,empty_set),X2),empty_set)|~in(X2,X1)|~spl0_227)),
% 7.86/1.35 inference(resolution,[status(thm)],[f5897,f383])).
% 7.86/1.35 fof(f5931,plain,(
% 7.86/1.35 spl0_363|~spl0_16|~spl0_227),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5930,f5927,f1527,f3496])).
% 7.86/1.35 fof(f5938,plain,(
% 7.86/1.35 ![X0,X1]: (powerset(X0)=empty_set|subset(sk0_14(powerset(X0),X1,empty_set),X0)|~spl0_227)),
% 7.86/1.35 inference(resolution,[status(thm)],[f5897,f1349])).
% 7.86/1.35 fof(f5956,plain,(
% 7.86/1.35 ![X0,X1]: (singleton(X0)=empty_set|sk0_14(singleton(X0),X1,empty_set)=X0|~spl0_227)),
% 7.86/1.35 inference(resolution,[status(thm)],[f5897,f1346])).
% 7.86/1.35 fof(f5957,plain,(
% 7.86/1.35 ![X0,X1]: (sk0_14(singleton(X0),X1,empty_set)=X0|~spl0_227)),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f5956,f762])).
% 7.86/1.35 fof(f5964,plain,(
% 7.86/1.35 ![X0]: (sk0_14(succ(empty_set),X0,empty_set)=empty_set|~spl0_227)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2783,f5957])).
% 7.86/1.35 fof(f5966,plain,(
% 7.86/1.35 spl0_365 <=> singleton(X0)=relation_inverse_image(empty_set,X1)|~in(X0,singleton(X0))|~in(ordered_pair(sk0_14(singleton(X0),X1,empty_set),X2),empty_set)|~in(X2,X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5969,plain,(
% 7.86/1.35 ![X0,X1,X2]: (~relation(empty_set)|singleton(X0)=relation_inverse_image(empty_set,X1)|~in(X0,singleton(X0))|~in(ordered_pair(sk0_14(singleton(X0),X1,empty_set),X2),empty_set)|~in(X2,X1)|~spl0_227)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f5957,f383])).
% 7.86/1.35 fof(f5970,plain,(
% 7.86/1.35 ~spl0_16|spl0_365|~spl0_227),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5969,f1527,f5966,f3496])).
% 7.86/1.35 fof(f5975,plain,(
% 7.86/1.35 spl0_366 <=> succ(empty_set)=relation_inverse_image(empty_set,X0)|~in(ordered_pair(sk0_14(succ(empty_set),X0,empty_set),X1),empty_set)|~in(X1,X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5978,plain,(
% 7.86/1.35 ![X0,X1]: (~relation(empty_set)|succ(empty_set)=relation_inverse_image(empty_set,X0)|~in(empty_set,succ(empty_set))|~in(ordered_pair(sk0_14(succ(empty_set),X0,empty_set),X1),empty_set)|~in(X1,X0)|~spl0_227)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f5964,f383])).
% 7.86/1.35 fof(f5979,plain,(
% 7.86/1.35 ~spl0_16|spl0_366|~spl0_136|~spl0_227),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5978,f1527,f5975,f2893,f3496])).
% 7.86/1.35 fof(f5985,plain,(
% 7.86/1.35 spl0_367 <=> sk0_14(powerset(empty_set),X0,empty_set)=empty_set),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5988,plain,(
% 7.86/1.35 ![X0]: (powerset(empty_set)=empty_set|sk0_14(powerset(empty_set),X0,empty_set)=empty_set|~spl0_227)),
% 7.86/1.35 inference(resolution,[status(thm)],[f5938,f1086])).
% 7.86/1.35 fof(f5989,plain,(
% 7.86/1.35 spl0_346|spl0_367|~spl0_227),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5988,f5518,f5985,f3496])).
% 7.86/1.35 fof(f5993,plain,(
% 7.86/1.35 ![X0,X1]: (powerset(X0)=empty_set|set_union2(sk0_14(powerset(X0),X1,empty_set),X0)=X0|~spl0_227)),
% 7.86/1.35 inference(resolution,[status(thm)],[f5938,f907])).
% 7.86/1.35 fof(f5994,plain,(
% 7.86/1.35 ![X0,X1]: (powerset(X0)=empty_set|set_union2(X0,sk0_14(powerset(X0),X1,empty_set))=X0|~spl0_227)),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f307,f5993])).
% 7.86/1.35 fof(f5996,plain,(
% 7.86/1.35 spl0_368 <=> subset(sk0_14(succ(empty_set),X0,empty_set),empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f5999,plain,(
% 7.86/1.35 ![X0]: (powerset(empty_set)=empty_set|subset(sk0_14(succ(empty_set),X0,empty_set),empty_set)|~spl0_227)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2791,f5938])).
% 7.86/1.35 fof(f6000,plain,(
% 7.86/1.35 spl0_346|spl0_368|~spl0_227),
% 7.86/1.35 inference(split_clause,[status(thm)],[f5999,f5518,f5996,f3496])).
% 7.86/1.35 fof(f6023,plain,(
% 7.86/1.35 spl0_369 <=> set_union2(empty_set,sk0_9(succ(empty_set),X0,empty_set))=empty_set),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f6026,plain,(
% 7.86/1.35 ![X0]: (powerset(empty_set)=empty_set|set_union2(empty_set,sk0_9(succ(empty_set),X0,empty_set))=empty_set|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2791,f5530])).
% 7.86/1.35 fof(f6027,plain,(
% 7.86/1.35 spl0_346|spl0_369|~spl0_227|~spl0_259),
% 7.86/1.35 inference(split_clause,[status(thm)],[f6026,f5518,f6023,f3496,f3973])).
% 7.86/1.35 fof(f6052,plain,(
% 7.86/1.35 spl0_370 <=> set_union2(empty_set,sk0_14(succ(empty_set),X0,empty_set))=empty_set),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f6055,plain,(
% 7.86/1.35 ![X0]: (powerset(empty_set)=empty_set|set_union2(empty_set,sk0_14(succ(empty_set),X0,empty_set))=empty_set|~spl0_227)),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f2791,f5994])).
% 7.86/1.35 fof(f6056,plain,(
% 7.86/1.35 spl0_346|spl0_370|~spl0_227),
% 7.86/1.35 inference(split_clause,[status(thm)],[f6055,f5518,f6052,f3496])).
% 7.86/1.35 fof(f6070,plain,(
% 7.86/1.35 spl0_371 <=> X0=relation_inverse_image(sk0_82,X1)|in(apply(sk0_82,sk0_9(X0,X1,sk0_82)),X1)|X0=relation_inverse_image(sk0_82,X1)|~in(sk0_9(X0,X1,sk0_82),relation_dom(sk0_82))|~in(apply(sk0_82,sk0_9(X0,X1,sk0_82)),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f6073,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_82,X1)|in(apply(sk0_82,sk0_9(X0,X1,sk0_82)),X1)|~relation(sk0_82)|~function(sk0_82)|X0=relation_inverse_image(sk0_82,X1)|~in(sk0_9(X0,X1,sk0_82),relation_dom(sk0_82))|~in(apply(sk0_82,sk0_9(X0,X1,sk0_82)),X1)|~spl0_296)),
% 7.86/1.35 inference(resolution,[status(thm)],[f4464,f363])).
% 7.86/1.35 fof(f6074,plain,(
% 7.86/1.35 spl0_371|~spl0_58|~spl0_350|~spl0_296),
% 7.86/1.35 inference(split_clause,[status(thm)],[f6073,f6070,f2266,f5556,f4463])).
% 7.86/1.35 fof(f6131,plain,(
% 7.86/1.35 spl0_372 <=> X0=relation_inverse_image(sk0_79,X1)|in(apply(sk0_79,sk0_9(X0,X1,sk0_79)),X1)|X0=relation_inverse_image(sk0_79,X1)|~in(sk0_9(X0,X1,sk0_79),relation_dom(sk0_79))|~in(apply(sk0_79,sk0_9(X0,X1,sk0_79)),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f6134,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_79,X1)|in(apply(sk0_79,sk0_9(X0,X1,sk0_79)),X1)|~relation(sk0_79)|~function(sk0_79)|X0=relation_inverse_image(sk0_79,X1)|~in(sk0_9(X0,X1,sk0_79),relation_dom(sk0_79))|~in(apply(sk0_79,sk0_9(X0,X1,sk0_79)),X1)|~spl0_297)),
% 7.86/1.35 inference(resolution,[status(thm)],[f4469,f363])).
% 7.86/1.35 fof(f6135,plain,(
% 7.86/1.35 spl0_372|~spl0_67|~spl0_354|~spl0_297),
% 7.86/1.35 inference(split_clause,[status(thm)],[f6134,f6131,f2319,f5612,f4468])).
% 7.86/1.35 fof(f6192,plain,(
% 7.86/1.35 spl0_373 <=> X0=relation_inverse_image(sk0_69,X1)|in(apply(sk0_69,sk0_9(X0,X1,sk0_69)),X1)|X0=relation_inverse_image(sk0_69,X1)|~in(sk0_9(X0,X1,sk0_69),relation_dom(sk0_69))|~in(apply(sk0_69,sk0_9(X0,X1,sk0_69)),X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f6195,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_69,X1)|in(apply(sk0_69,sk0_9(X0,X1,sk0_69)),X1)|~relation(sk0_69)|~function(sk0_69)|X0=relation_inverse_image(sk0_69,X1)|~in(sk0_9(X0,X1,sk0_69),relation_dom(sk0_69))|~in(apply(sk0_69,sk0_9(X0,X1,sk0_69)),X1)|~spl0_298)),
% 7.86/1.35 inference(resolution,[status(thm)],[f4474,f363])).
% 7.86/1.35 fof(f6196,plain,(
% 7.86/1.35 spl0_373|~spl0_75|~spl0_358|~spl0_298),
% 7.86/1.35 inference(split_clause,[status(thm)],[f6195,f6192,f2369,f5668,f4473])).
% 7.86/1.35 fof(f6290,plain,(
% 7.86/1.35 spl0_374 <=> X0=relation_inverse_image(sk0_66,X1)|in(sk0_14(X0,X1,sk0_66),X0)|in(sk0_15(X0,X1,sk0_66),relation_image(sk0_66,X2))|~in(sk0_14(X0,X1,sk0_66),X2)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f6293,plain,(
% 7.86/1.35 ![X0,X1,X2]: (X0=relation_inverse_image(sk0_66,X1)|in(sk0_14(X0,X1,sk0_66),X0)|~relation(sk0_66)|in(sk0_15(X0,X1,sk0_66),relation_image(sk0_66,X2))|~in(sk0_14(X0,X1,sk0_66),X2))),
% 7.86/1.35 inference(resolution,[status(thm)],[f5898,f1335])).
% 7.86/1.35 fof(f6294,plain,(
% 7.86/1.35 spl0_374|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f6293,f6290,f1476])).
% 7.86/1.35 fof(f6295,plain,(
% 7.86/1.35 spl0_375 <=> X0=relation_inverse_image(sk0_66,X1)|in(sk0_14(X0,X1,sk0_66),X0)|in(sk0_15(X0,X1,sk0_66),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f6298,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_66,X1)|in(sk0_14(X0,X1,sk0_66),X0)|~relation(sk0_66)|in(sk0_15(X0,X1,sk0_66),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f5898,f1017])).
% 7.86/1.35 fof(f6299,plain,(
% 7.86/1.35 spl0_375|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f6298,f6295,f1476])).
% 7.86/1.35 fof(f6300,plain,(
% 7.86/1.35 spl0_376 <=> X0=relation_inverse_image(sk0_66,X1)|in(sk0_14(X0,X1,sk0_66),X0)|in(sk0_14(X0,X1,sk0_66),relation_field(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f6303,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_66,X1)|in(sk0_14(X0,X1,sk0_66),X0)|~relation(sk0_66)|in(sk0_14(X0,X1,sk0_66),relation_field(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f5898,f1016])).
% 7.86/1.35 fof(f6304,plain,(
% 7.86/1.35 spl0_376|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f6303,f6300,f1476])).
% 7.86/1.35 fof(f6403,plain,(
% 7.86/1.35 ![X0]: (proper_subset(empty_set,X0)|empty_set=X0)),
% 7.86/1.35 inference(resolution,[status(thm)],[f631,f1013])).
% 7.86/1.35 fof(f6409,plain,(
% 7.86/1.35 ![X0]: (empty_set=X0|~proper_subset(X0,empty_set))),
% 7.86/1.35 inference(resolution,[status(thm)],[f6403,f288])).
% 7.86/1.35 fof(f6410,plain,(
% 7.86/1.35 empty_set=empty_set|empty_set=empty_set),
% 7.86/1.35 inference(resolution,[status(thm)],[f6409,f6403])).
% 7.86/1.35 fof(f6411,plain,(
% 7.86/1.35 spl0_280),
% 7.86/1.35 inference(split_clause,[status(thm)],[f6410,f4210])).
% 7.86/1.35 fof(f6546,plain,(
% 7.86/1.35 ![X0,X1]: (X0=relation_inverse_image(sk0_66,X1)|in(sk0_14(X0,X1,sk0_66),X0)|in(sk0_15(X0,X1,sk0_66),X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f385,f758])).
% 7.86/1.35 fof(f6572,plain,(
% 7.86/1.35 ![X0,X1,X2]: (in(X0,unordered_triple(X0,X1,X2)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1340,f1403])).
% 7.86/1.35 fof(f6840,plain,(
% 7.86/1.35 spl0_409 <=> relation(identity_relation(relation_dom(sk0_66)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f6842,plain,(
% 7.86/1.35 ~relation(identity_relation(relation_dom(sk0_66)))|spl0_409),
% 7.86/1.35 inference(component_clause,[status(thm)],[f6840])).
% 7.86/1.35 fof(f6859,plain,(
% 7.86/1.35 $false|spl0_409),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f6842,f650])).
% 7.86/1.35 fof(f6860,plain,(
% 7.86/1.35 spl0_409),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f6859])).
% 7.86/1.35 fof(f6861,plain,(
% 7.86/1.35 $false|~spl0_108|spl0_122),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f2809,f3003])).
% 7.86/1.35 fof(f6862,plain,(
% 7.86/1.35 ~spl0_108|spl0_122),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f6861])).
% 7.86/1.35 fof(f6894,plain,(
% 7.86/1.35 spl0_412 <=> X0=relation_inverse_image(sk0_66,X1)|in(sk0_15(X0,X1,sk0_66),X1)|X0=relation_inverse_image(sk0_66,X1)|~in(ordered_pair(sk0_14(X0,X1,sk0_66),X2),sk0_66)|~in(X2,X1)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f6897,plain,(
% 7.86/1.35 ![X0,X1,X2]: (X0=relation_inverse_image(sk0_66,X1)|in(sk0_15(X0,X1,sk0_66),X1)|~relation(sk0_66)|X0=relation_inverse_image(sk0_66,X1)|~in(ordered_pair(sk0_14(X0,X1,sk0_66),X2),sk0_66)|~in(X2,X1))),
% 7.86/1.35 inference(resolution,[status(thm)],[f6546,f383])).
% 7.86/1.35 fof(f6898,plain,(
% 7.86/1.35 spl0_412|~spl0_14),
% 7.86/1.35 inference(split_clause,[status(thm)],[f6897,f6894,f1476])).
% 7.86/1.35 fof(f7062,plain,(
% 7.86/1.35 ![X0,X1,X2]: (~in(unordered_triple(singleton(X0),X1,X2),X0))),
% 7.86/1.35 inference(resolution,[status(thm)],[f6572,f1473])).
% 7.86/1.35 fof(f7228,plain,(
% 7.86/1.35 ![X0]: (~in(X0,sk0_66)|X0=ordered_pair(sk0_17(X0,sk0_66),sk0_18(X0,sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f401,f758])).
% 7.86/1.35 fof(f7403,plain,(
% 7.86/1.35 spl0_418 <=> sk0_14(sk0_66,X0,empty_set)=ordered_pair(sk0_17(sk0_14(sk0_66,X0,empty_set),sk0_66),sk0_18(sk0_14(sk0_66,X0,empty_set),sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f7406,plain,(
% 7.86/1.35 spl0_419 <=> sk0_66=empty_set),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f7407,plain,(
% 7.86/1.35 sk0_66=empty_set|~spl0_419),
% 7.86/1.35 inference(component_clause,[status(thm)],[f7406])).
% 7.86/1.35 fof(f7408,plain,(
% 7.86/1.35 ~sk0_66=empty_set|spl0_419),
% 7.86/1.35 inference(component_clause,[status(thm)],[f7406])).
% 7.86/1.35 fof(f7409,plain,(
% 7.86/1.35 ![X0]: (sk0_14(sk0_66,X0,empty_set)=ordered_pair(sk0_17(sk0_14(sk0_66,X0,empty_set),sk0_66),sk0_18(sk0_14(sk0_66,X0,empty_set),sk0_66))|sk0_66=empty_set|~spl0_227)),
% 7.86/1.35 inference(resolution,[status(thm)],[f7228,f5897])).
% 7.86/1.35 fof(f7410,plain,(
% 7.86/1.35 spl0_418|spl0_419|~spl0_227),
% 7.86/1.35 inference(split_clause,[status(thm)],[f7409,f7403,f7406,f3496])).
% 7.86/1.35 fof(f7419,plain,(
% 7.86/1.35 spl0_420 <=> sk0_9(sk0_66,X0,empty_set)=ordered_pair(sk0_17(sk0_9(sk0_66,X0,empty_set),sk0_66),sk0_18(sk0_9(sk0_66,X0,empty_set),sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f7422,plain,(
% 7.86/1.35 ![X0]: (sk0_9(sk0_66,X0,empty_set)=ordered_pair(sk0_17(sk0_9(sk0_66,X0,empty_set),sk0_66),sk0_18(sk0_9(sk0_66,X0,empty_set),sk0_66))|sk0_66=empty_set|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(resolution,[status(thm)],[f7228,f3982])).
% 7.86/1.35 fof(f7423,plain,(
% 7.86/1.35 spl0_420|spl0_419|~spl0_227|~spl0_259),
% 7.86/1.35 inference(split_clause,[status(thm)],[f7422,f7419,f7406,f3496,f3973])).
% 7.86/1.35 fof(f7453,plain,(
% 7.86/1.35 spl0_428 <=> sk0_25(sk0_66)=ordered_pair(sk0_17(sk0_25(sk0_66),sk0_66),sk0_18(sk0_25(sk0_66),sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f7456,plain,(
% 7.86/1.35 sk0_25(sk0_66)=ordered_pair(sk0_17(sk0_25(sk0_66),sk0_66),sk0_18(sk0_25(sk0_66),sk0_66))|sk0_66=empty_set),
% 7.86/1.35 inference(resolution,[status(thm)],[f7228,f434])).
% 7.86/1.35 fof(f7457,plain,(
% 7.86/1.35 spl0_428|spl0_419),
% 7.86/1.35 inference(split_clause,[status(thm)],[f7456,f7453,f7406])).
% 7.86/1.35 fof(f7573,plain,(
% 7.86/1.35 spl0_439 <=> relation_rng_restriction(X0,empty_set)=empty_set),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f7574,plain,(
% 7.86/1.35 ![X0]: (relation_rng_restriction(X0,empty_set)=empty_set|~spl0_439)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f7573])).
% 7.86/1.35 fof(f7576,plain,(
% 7.86/1.35 ![X0]: (~relation(empty_set)|relation_rng_restriction(X0,empty_set)=empty_set)),
% 7.86/1.35 inference(resolution,[status(thm)],[f893,f1086])).
% 7.86/1.35 fof(f7577,plain,(
% 7.86/1.35 ~spl0_16|spl0_439),
% 7.86/1.35 inference(split_clause,[status(thm)],[f7576,f1527,f7573])).
% 7.86/1.35 fof(f7589,plain,(
% 7.86/1.35 ![X0]: (~in(X0,sk0_80)|ordinal(X0))),
% 7.86/1.35 inference(resolution,[status(thm)],[f994,f848])).
% 7.86/1.35 fof(f7599,plain,(
% 7.86/1.35 spl0_440 <=> ordinal(sk0_14(sk0_80,X0,empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f7602,plain,(
% 7.86/1.35 spl0_441 <=> sk0_80=empty_set),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f7603,plain,(
% 7.86/1.35 sk0_80=empty_set|~spl0_441),
% 7.86/1.35 inference(component_clause,[status(thm)],[f7602])).
% 7.86/1.35 fof(f7605,plain,(
% 7.86/1.35 ![X0]: (ordinal(sk0_14(sk0_80,X0,empty_set))|sk0_80=empty_set|~spl0_227)),
% 7.86/1.35 inference(resolution,[status(thm)],[f7589,f5897])).
% 7.86/1.35 fof(f7606,plain,(
% 7.86/1.35 spl0_440|spl0_441|~spl0_227),
% 7.86/1.35 inference(split_clause,[status(thm)],[f7605,f7599,f7602,f3496])).
% 7.86/1.35 fof(f7615,plain,(
% 7.86/1.35 spl0_442 <=> ordinal(sk0_9(sk0_80,X0,empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f7618,plain,(
% 7.86/1.35 ![X0]: (ordinal(sk0_9(sk0_80,X0,empty_set))|sk0_80=empty_set|~spl0_227|~spl0_259)),
% 7.86/1.35 inference(resolution,[status(thm)],[f7589,f3982])).
% 7.86/1.35 fof(f7619,plain,(
% 7.86/1.35 spl0_442|spl0_441|~spl0_227|~spl0_259),
% 7.86/1.35 inference(split_clause,[status(thm)],[f7618,f7615,f7602,f3496,f3973])).
% 7.86/1.35 fof(f7643,plain,(
% 7.86/1.35 spl0_448 <=> ordinal(sk0_25(sk0_80))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f7646,plain,(
% 7.86/1.35 ordinal(sk0_25(sk0_80))|sk0_80=empty_set),
% 7.86/1.35 inference(resolution,[status(thm)],[f7589,f434])).
% 7.86/1.35 fof(f7647,plain,(
% 7.86/1.35 spl0_448|spl0_441),
% 7.86/1.35 inference(split_clause,[status(thm)],[f7646,f7643,f7602])).
% 7.86/1.35 fof(f7724,plain,(
% 7.86/1.35 ![X0]: (~relation(sk0_66)|~in(X0,relation_field(sk0_66))|in(ordered_pair(X0,X0),sk0_66)|~spl0_15)),
% 7.86/1.35 inference(resolution,[status(thm)],[f408,f1480])).
% 7.86/1.35 fof(f7725,plain,(
% 7.86/1.35 ~spl0_14|spl0_1|~spl0_15),
% 7.86/1.35 inference(split_clause,[status(thm)],[f7724,f1476,f1298,f1479])).
% 7.86/1.35 fof(f7727,plain,(
% 7.86/1.35 sk0_66=identity_relation(empty_set)|~spl0_129|~spl0_110),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f2859,f2637])).
% 7.86/1.35 fof(f7728,plain,(
% 7.86/1.35 $false|spl0_24|~spl0_129|~spl0_110),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f7727,f1666])).
% 7.86/1.35 fof(f7729,plain,(
% 7.86/1.35 spl0_24|~spl0_129|~spl0_110),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f7728])).
% 7.86/1.35 fof(f7747,plain,(
% 7.86/1.35 ![X0]: (is_reflexive_in(sk0_66,X0)|in(sk0_20(X0,sk0_66),X0))),
% 7.86/1.35 inference(resolution,[status(thm)],[f409,f758])).
% 7.86/1.35 fof(f7756,plain,(
% 7.86/1.35 in(empty_set,relation_field(empty_set))|~spl0_419|~spl0_129|~spl0_28),
% 7.86/1.35 inference(backward_demodulation,[status(thm)],[f7407,f4130])).
% 7.86/1.35 fof(f7757,plain,(
% 7.86/1.35 in(empty_set,empty_set)|~spl0_419|~spl0_129|~spl0_28),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f1526,f7756])).
% 7.86/1.35 fof(f7758,plain,(
% 7.86/1.35 $false|~spl0_419|~spl0_129|~spl0_28),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f7757,f1348])).
% 7.86/1.35 fof(f7759,plain,(
% 7.86/1.35 ~spl0_419|~spl0_129|~spl0_28),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f7758])).
% 7.86/1.35 fof(f7764,plain,(
% 7.86/1.35 spl0_463 <=> ~in(sk0_20(X0,sk0_66),relation_field(sk0_66))|is_reflexive_in(sk0_66,X0)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f7765,plain,(
% 7.86/1.35 ![X0]: (~in(sk0_20(X0,sk0_66),relation_field(sk0_66))|is_reflexive_in(sk0_66,X0)|~spl0_463)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f7764])).
% 7.86/1.35 fof(f7767,plain,(
% 7.86/1.35 ![X0]: (~in(sk0_20(X0,sk0_66),relation_field(sk0_66))|~relation(sk0_66)|is_reflexive_in(sk0_66,X0)|~spl0_1)),
% 7.86/1.35 inference(resolution,[status(thm)],[f1299,f410])).
% 7.86/1.35 fof(f7768,plain,(
% 7.86/1.35 spl0_463|~spl0_14|~spl0_1),
% 7.86/1.35 inference(split_clause,[status(thm)],[f7767,f7764,f1476,f1298])).
% 7.86/1.35 fof(f7879,plain,(
% 7.86/1.35 $false|~spl0_199),
% 7.86/1.35 inference(backward_subsumption_resolution,[status(thm)],[f671,f3329])).
% 7.86/1.35 fof(f7880,plain,(
% 7.86/1.35 ~spl0_199),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f7879])).
% 7.86/1.35 fof(f7990,plain,(
% 7.86/1.35 ~empty(empty_set)|~spl0_441),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f7603,f845])).
% 7.86/1.35 fof(f7991,plain,(
% 7.86/1.35 $false|~spl0_441),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f671,f7990])).
% 7.86/1.35 fof(f7992,plain,(
% 7.86/1.35 ~spl0_441),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f7991])).
% 7.86/1.35 fof(f8181,plain,(
% 7.86/1.35 is_reflexive_in(sk0_66,empty_set)),
% 7.86/1.35 inference(resolution,[status(thm)],[f7747,f1348])).
% 7.86/1.35 fof(f8182,plain,(
% 7.86/1.35 $false|spl0_26),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f8181,f1699])).
% 7.86/1.35 fof(f8183,plain,(
% 7.86/1.35 spl0_26),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f8182])).
% 7.86/1.35 fof(f8188,plain,(
% 7.86/1.35 spl0_480 <=> ~in(X0,empty_set)|in(ordered_pair(X0,X0),sk0_66)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f8191,plain,(
% 7.86/1.35 ![X0]: (~relation(sk0_66)|~in(X0,empty_set)|in(ordered_pair(X0,X0),sk0_66))),
% 7.86/1.35 inference(resolution,[status(thm)],[f8181,f408])).
% 7.86/1.35 fof(f8192,plain,(
% 7.86/1.35 ~spl0_14|spl0_480),
% 7.86/1.35 inference(split_clause,[status(thm)],[f8191,f1476,f8188])).
% 7.86/1.35 fof(f8700,plain,(
% 7.86/1.35 spl0_531 <=> relation(identity_relation(empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f8702,plain,(
% 7.86/1.35 ~relation(identity_relation(empty_set))|spl0_531),
% 7.86/1.35 inference(component_clause,[status(thm)],[f8700])).
% 7.86/1.35 fof(f8708,plain,(
% 7.86/1.35 $false|spl0_531),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f8702,f650])).
% 7.86/1.35 fof(f8709,plain,(
% 7.86/1.35 spl0_531),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f8708])).
% 7.86/1.35 fof(f8762,plain,(
% 7.86/1.35 spl0_538 <=> sk0_21(X0,set_meet(sk0_66),sk0_66)=ordered_pair(sk0_17(sk0_21(X0,set_meet(sk0_66),sk0_66),sk0_66),sk0_18(sk0_21(X0,set_meet(sk0_66),sk0_66),sk0_66))|in(X0,set_meet(sk0_66))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f8765,plain,(
% 7.86/1.35 ![X0]: (sk0_21(X0,set_meet(sk0_66),sk0_66)=ordered_pair(sk0_17(sk0_21(X0,set_meet(sk0_66),sk0_66),sk0_66),sk0_18(sk0_21(X0,set_meet(sk0_66),sk0_66),sk0_66))|sk0_66=empty_set|in(X0,set_meet(sk0_66)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f7228,f1342])).
% 7.86/1.35 fof(f8766,plain,(
% 7.86/1.35 spl0_538|spl0_419),
% 7.86/1.35 inference(split_clause,[status(thm)],[f8765,f8762,f7406])).
% 7.86/1.35 fof(f9095,plain,(
% 7.86/1.35 spl0_540 <=> subset(empty_set,empty_set)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f9098,plain,(
% 7.86/1.35 ~relation(empty_set)|subset(empty_set,empty_set)|~spl0_439),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f7574,f893])).
% 7.86/1.35 fof(f9099,plain,(
% 7.86/1.35 ~spl0_16|spl0_540|~spl0_439),
% 7.86/1.35 inference(split_clause,[status(thm)],[f9098,f1527,f9095,f7573])).
% 7.86/1.35 fof(f9279,plain,(
% 7.86/1.35 spl0_544 <=> identity_relation(sk0_66)=empty_set),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f9280,plain,(
% 7.86/1.35 identity_relation(sk0_66)=empty_set|~spl0_544),
% 7.86/1.35 inference(component_clause,[status(thm)],[f9279])).
% 7.86/1.35 fof(f9310,plain,(
% 7.86/1.35 spl0_545 <=> X0=relation_inverse_image(sk0_66,X1)|in(sk0_14(X0,X1,sk0_66),X0)|X2=set_meet(sk0_66)|in(sk0_22(X2,sk0_66),X2)|in(sk0_22(X2,sk0_66),ordered_pair(sk0_14(X0,X1,sk0_66),sk0_15(X0,X1,sk0_66)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f9313,plain,(
% 7.86/1.35 ![X0,X1,X2]: (X0=relation_inverse_image(sk0_66,X1)|in(sk0_14(X0,X1,sk0_66),X0)|sk0_66=empty_set|X2=set_meet(sk0_66)|in(sk0_22(X2,sk0_66),X2)|in(sk0_22(X2,sk0_66),ordered_pair(sk0_14(X0,X1,sk0_66),sk0_15(X0,X1,sk0_66))))),
% 7.86/1.35 inference(resolution,[status(thm)],[f5898,f420])).
% 7.86/1.35 fof(f9314,plain,(
% 7.86/1.35 spl0_545|spl0_419),
% 7.86/1.35 inference(split_clause,[status(thm)],[f9313,f9310,f7406])).
% 7.86/1.35 fof(f9477,plain,(
% 7.86/1.35 spl0_548 <=> ordinal(sk0_21(X0,set_meet(sk0_80),sk0_80))|in(X0,set_meet(sk0_80))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f9480,plain,(
% 7.86/1.35 ![X0]: (ordinal(sk0_21(X0,set_meet(sk0_80),sk0_80))|sk0_80=empty_set|in(X0,set_meet(sk0_80)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f7589,f1342])).
% 7.86/1.35 fof(f9481,plain,(
% 7.86/1.35 spl0_548|spl0_441),
% 7.86/1.35 inference(split_clause,[status(thm)],[f9480,f9477,f7602])).
% 7.86/1.35 fof(f9613,plain,(
% 7.86/1.35 relation_field(empty_set)=sk0_66|~spl0_544),
% 7.86/1.35 inference(paramodulation,[status(thm)],[f9280,f1848])).
% 7.86/1.35 fof(f9614,plain,(
% 7.86/1.35 empty_set=sk0_66|~spl0_544),
% 7.86/1.35 inference(forward_demodulation,[status(thm)],[f1526,f9613])).
% 7.86/1.35 fof(f9615,plain,(
% 7.86/1.35 $false|spl0_419|~spl0_544),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f9614,f7408])).
% 7.86/1.35 fof(f9616,plain,(
% 7.86/1.35 spl0_419|~spl0_544),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f9615])).
% 7.86/1.35 fof(f9730,plain,(
% 7.86/1.35 spl0_553 <=> X0=relation_image(sk0_66,X1)|in(sk0_11(X0,X1,sk0_66),X0)|X2=set_meet(sk0_66)|in(sk0_22(X2,sk0_66),X2)|in(sk0_22(X2,sk0_66),ordered_pair(sk0_12(X0,X1,sk0_66),sk0_11(X0,X1,sk0_66)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f9733,plain,(
% 7.86/1.35 ![X0,X1,X2]: (X0=relation_image(sk0_66,X1)|in(sk0_11(X0,X1,sk0_66),X0)|sk0_66=empty_set|X2=set_meet(sk0_66)|in(sk0_22(X2,sk0_66),X2)|in(sk0_22(X2,sk0_66),ordered_pair(sk0_12(X0,X1,sk0_66),sk0_11(X0,X1,sk0_66))))),
% 7.86/1.35 inference(resolution,[status(thm)],[f4981,f420])).
% 7.86/1.35 fof(f9734,plain,(
% 7.86/1.35 spl0_553|spl0_419),
% 7.86/1.35 inference(split_clause,[status(thm)],[f9733,f9730,f7406])).
% 7.86/1.35 fof(f9798,plain,(
% 7.86/1.35 spl0_554 <=> ~relation(X0)|sk0_66=relation_rng_restriction(X1,X0)|in(sk0_8(X1,sk0_66,X0),X1)|X2=set_meet(sk0_66)|in(sk0_22(X2,sk0_66),X2)|in(sk0_22(X2,sk0_66),ordered_pair(sk0_7(X1,sk0_66,X0),sk0_8(X1,sk0_66,X0)))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f9801,plain,(
% 7.86/1.35 ![X0,X1,X2]: (~relation(X0)|sk0_66=relation_rng_restriction(X1,X0)|in(sk0_8(X1,sk0_66,X0),X1)|sk0_66=empty_set|X2=set_meet(sk0_66)|in(sk0_22(X2,sk0_66),X2)|in(sk0_22(X2,sk0_66),ordered_pair(sk0_7(X1,sk0_66,X0),sk0_8(X1,sk0_66,X0))))),
% 7.86/1.35 inference(resolution,[status(thm)],[f2912,f420])).
% 7.86/1.35 fof(f9802,plain,(
% 7.86/1.35 spl0_554|spl0_419),
% 7.86/1.35 inference(split_clause,[status(thm)],[f9801,f9798,f7406])).
% 7.86/1.35 fof(f9862,plain,(
% 7.86/1.35 spl0_555 <=> ~in(X0,sk0_80)),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f9863,plain,(
% 7.86/1.35 ![X0]: (~in(X0,sk0_80)|~spl0_555)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f9862])).
% 7.86/1.35 fof(f9865,plain,(
% 7.86/1.35 spl0_556 <=> ordinal(sk0_101(sk0_80))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f9868,plain,(
% 7.86/1.35 ![X0]: (~in(X0,sk0_80)|ordinal(sk0_101(sk0_80)))),
% 7.86/1.35 inference(resolution,[status(thm)],[f1217,f7589])).
% 7.86/1.35 fof(f9869,plain,(
% 7.86/1.35 spl0_555|spl0_556),
% 7.86/1.35 inference(split_clause,[status(thm)],[f9868,f9862,f9865])).
% 7.86/1.35 fof(f9902,plain,(
% 7.86/1.35 spl0_559 <=> relation_dom_restriction(empty_set,X0)=empty_set),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f9905,plain,(
% 7.86/1.35 ![X0]: (~relation(empty_set)|relation_dom_restriction(empty_set,X0)=empty_set)),
% 7.86/1.35 inference(resolution,[status(thm)],[f1232,f1086])).
% 7.86/1.35 fof(f9906,plain,(
% 7.86/1.35 ~spl0_16|spl0_559),
% 7.86/1.35 inference(split_clause,[status(thm)],[f9905,f1527,f9902])).
% 7.86/1.35 fof(f9937,plain,(
% 7.86/1.35 spl0_560 <=> empty(succ(empty_set))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f9938,plain,(
% 7.86/1.35 empty(succ(empty_set))|~spl0_560),
% 7.86/1.35 inference(component_clause,[status(thm)],[f9937])).
% 7.86/1.35 fof(f9946,plain,(
% 7.86/1.35 $false|~spl0_560),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f9938,f681])).
% 7.86/1.35 fof(f9947,plain,(
% 7.86/1.35 ~spl0_560),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f9946])).
% 7.86/1.35 fof(f9948,plain,(
% 7.86/1.35 $false|~spl0_268),
% 7.86/1.35 inference(forward_subsumption_resolution,[status(thm)],[f4133,f1348])).
% 7.86/1.35 fof(f9949,plain,(
% 7.86/1.35 ~spl0_268),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f9948])).
% 7.86/1.35 fof(f10066,plain,(
% 7.86/1.35 ~relation(sk0_82)|spl0_60),
% 7.86/1.35 inference(resolution,[status(thm)],[f2276,f657])).
% 7.86/1.35 fof(f10067,plain,(
% 7.86/1.35 ~spl0_58|spl0_60),
% 7.86/1.35 inference(split_clause,[status(thm)],[f10066,f2266,f2274])).
% 7.86/1.35 fof(f10105,plain,(
% 7.86/1.35 spl0_562 <=> in(X0,set_meet(sk0_80))),
% 7.86/1.35 introduced(split_symbol_definition)).
% 7.86/1.35 fof(f10106,plain,(
% 7.86/1.35 ![X0]: (in(X0,set_meet(sk0_80))|~spl0_562)),
% 7.86/1.35 inference(component_clause,[status(thm)],[f10105])).
% 7.86/1.35 fof(f10125,plain,(
% 7.86/1.35 sk0_80=empty_set|~spl0_555),
% 7.86/1.35 inference(resolution,[status(thm)],[f9863,f434])).
% 7.86/1.35 fof(f10126,plain,(
% 7.86/1.35 spl0_441|~spl0_555),
% 7.86/1.35 inference(split_clause,[status(thm)],[f10125,f7602,f9862])).
% 7.86/1.35 fof(f10137,plain,(
% 7.86/1.35 $false|~spl0_562),
% 7.86/1.35 inference(resolution,[status(thm)],[f10106,f7062])).
% 7.86/1.35 fof(f10138,plain,(
% 7.86/1.35 ~spl0_562),
% 7.86/1.35 inference(contradiction_clause,[status(thm)],[f10137])).
% 7.86/1.35 fof(f10139,plain,(
% 7.86/1.35 ~relation(sk0_81)|spl0_65),
% 7.86/1.35 inference(resolution,[status(thm)],[f2304,f657])).
% 7.86/1.35 fof(f10140,plain,(
% 7.86/1.35 ~spl0_63|spl0_65),
% 7.86/1.35 inference(split_clause,[status(thm)],[f10139,f2294,f2302])).
% 7.86/1.35 fof(f10142,plain,(
% 7.86/1.35 ~relation(sk0_79)|spl0_69),
% 7.86/1.35 inference(resolution,[status(thm)],[f2329,f657])).
% 7.86/1.35 fof(f10143,plain,(
% 7.86/1.35 ~spl0_67|spl0_69),
% 7.86/1.35 inference(split_clause,[status(thm)],[f10142,f2319,f2327])).
% 7.86/1.35 fof(f10145,plain,(
% 7.86/1.35 ~relation(sk0_76)|spl0_73),
% 7.86/1.35 inference(resolution,[status(thm)],[f2354,f657])).
% 7.86/1.35 fof(f10146,plain,(
% 7.86/1.35 ~spl0_71|spl0_73),
% 7.86/1.35 inference(split_clause,[status(thm)],[f10145,f2344,f2352])).
% 7.86/1.35 fof(f10148,plain,(
% 7.86/1.35 ~relation(sk0_69)|spl0_77),
% 7.86/1.35 inference(resolution,[status(thm)],[f2379,f657])).
% 7.86/1.35 fof(f10149,plain,(
% 7.86/1.35 ~spl0_75|spl0_77),
% 7.86/1.35 inference(split_clause,[status(thm)],[f10148,f2369,f2377])).
% 7.86/1.35 fof(f10151,plain,(
% 7.86/1.35 ~relation(sk0_66)|spl0_80),
% 7.86/1.35 inference(resolution,[status(thm)],[f2401,f657])).
% 7.86/1.35 fof(f10152,plain,(
% 7.86/1.35 ~spl0_14|spl0_80),
% 7.86/1.35 inference(split_clause,[status(thm)],[f10151,f1476,f2399])).
% 7.86/1.35 fof(f10169,plain,(
% 7.86/1.35 is_reflexive_in(sk0_66,relation_field(sk0_66))|is_reflexive_in(sk0_66,relation_field(sk0_66))|~spl0_463),
% 7.86/1.35 inference(resolution,[status(thm)],[f7765,f7747])).
% 7.86/1.35 fof(f10170,plain,(
% 7.86/1.35 spl0_15|~spl0_463),
% 7.86/1.35 inference(split_clause,[status(thm)],[f10169,f1479,f7764])).
% 7.86/1.35 fof(f10172,plain,(
% 7.86/1.35 ~in(sk0_67,relation_field(sk0_66))|spl0_3|~spl0_1),
% 7.86/1.35 inference(resolution,[status(thm)],[f1308,f1299])).
% 7.86/1.35 fof(f10173,plain,(
% 7.86/1.35 ~spl0_2|spl0_3|~spl0_1),
% 7.86/1.36 inference(split_clause,[status(thm)],[f10172,f1302,f1306,f1298])).
% 7.86/1.36 fof(f10174,plain,(
% 7.86/1.36 $false),
% 7.86/1.36 inference(sat_refutation,[status(thm)],[f1301,f1305,f1309,f1432,f1440,f1448,f1450,f1452,f1454,f1462,f1464,f1483,f1485,f1643,f1648,f1671,f1682,f1701,f1718,f1760,f1806,f1811,f1826,f1834,f2288,f2313,f2338,f2363,f2388,f2457,f2481,f2512,f2517,f2614,f2626,f2834,f2865,f2897,f2899,f2999,f3002,f3010,f3092,f3097,f3106,f3111,f3121,f3126,f3135,f3196,f3243,f3281,f3332,f3485,f3490,f3495,f3500,f3511,f3516,f3521,f3526,f3560,f3563,f3566,f3731,f3905,f3936,f3941,f3946,f3951,f3962,f3967,f3972,f3977,f3984,f4009,f4017,f4044,f4065,f4083,f4154,f4176,f4180,f4182,f4185,f4345,f4467,f4472,f4477,f4482,f4545,f4628,f4918,f4923,f4928,f4933,f4938,f4943,f4950,f4955,f5073,f5084,f5088,f5095,f5134,f5139,f5144,f5419,f5434,f5516,f5525,f5536,f5539,f5560,f5565,f5601,f5607,f5616,f5621,f5657,f5663,f5672,f5677,f5713,f5719,f5730,f5813,f5825,f5831,f5931,f5970,f5979,f5989,f6000,f6027,f6056,f6074,f6135,f6196,f6294,f6299,f6304,f6411,f6860,f6862,f6898,f7410,f7423,f7457,f7577,f7606,f7619,f7647,f7725,f7729,f7759,f7768,f7880,f7992,f8183,f8192,f8709,f8766,f9099,f9314,f9481,f9616,f9734,f9802,f9869,f9906,f9947,f9949,f10067,f10126,f10138,f10140,f10143,f10146,f10149,f10152,f10170,f10173])).
% 7.86/1.36 % SZS output end CNFRefutation for theBenchmark.p
% 7.86/1.40 % Elapsed time: 1.074628 seconds
% 7.86/1.40 % CPU time: 8.010646 seconds
% 7.86/1.40 % Total memory used: 169.570 MB
% 7.86/1.40 % Net memory used: 166.019 MB
%------------------------------------------------------------------------------