TSTP Solution File: SEU192+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU192+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 : Wed May 31 12:36:12 EDT 2023
% Result : Theorem 76.51s 10.13s
% Output : CNFRefutation 77.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU192+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n010.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:02:52 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 76.51/10.13 % Refutation found
% 76.51/10.13 % SZS status Theorem for theBenchmark: Theorem is valid
% 76.51/10.13 % SZS output start CNFRefutation for theBenchmark
% 76.51/10.13 fof(f1,axiom,(
% 76.51/10.13 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f3,axiom,(
% 76.51/10.13 (! [A] :( empty(A)=> relation(A) ) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f4,axiom,(
% 76.51/10.13 (! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f5,axiom,(
% 76.51/10.13 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f6,axiom,(
% 76.51/10.13 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f7,axiom,(
% 76.51/10.13 (! [A,B] :( relation(B)=> ( B = identity_relation(A)<=> (! [C,D] :( in(ordered_pair(C,D),B)<=> ( in(C,A)& C = D ) ) )) ) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f8,axiom,(
% 76.51/10.13 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f9,axiom,(
% 76.51/10.13 (! [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) ) ) )) ) )) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f10,axiom,(
% 76.51/10.13 (! [A] :( relation(A)<=> (! [B] :~ ( in(B,A)& (! [C,D] : B != ordered_pair(C,D) )) )) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f11,axiom,(
% 76.51/10.13 (! [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 ) ) ) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f12,axiom,(
% 76.51/10.13 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f13,axiom,(
% 76.51/10.13 (! [A] :( A = empty_set<=> (! [B] : ~ in(B,A) )) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f14,axiom,(
% 76.51/10.13 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f15,axiom,(
% 76.51/10.13 (! [A,B] :( ( ~ empty(A)=> ( element(B,A)<=> in(B,A) ) )& ( empty(A)=> ( element(B,A)<=> empty(B) ) ) ) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f16,axiom,(
% 76.51/10.13 (! [A,B,C] :( C = unordered_pair(A,B)<=> (! [D] :( in(D,C)<=> ( D = A| D = B ) ) )) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f17,axiom,(
% 76.51/10.13 (! [A,B,C] :( C = set_union2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)| in(D,B) ) ) )) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f19,axiom,(
% 76.51/10.13 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f20,axiom,(
% 76.51/10.13 (! [A,B,C] :( C = set_intersection2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& in(D,B) ) ) )) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f21,axiom,(
% 76.51/10.13 (! [A] :( relation(A)=> (! [B] :( B = relation_dom(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(C,D),A) )) )) )) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f23,axiom,(
% 76.51/10.13 (! [A,B] :( B = union(A)<=> (! [C] :( in(C,B)<=> (? [D] :( in(C,D)& in(D,A) ) )) )) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f24,axiom,(
% 76.51/10.13 (! [A,B,C] :( C = set_difference(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& ~ in(D,B) ) ) )) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f30,axiom,(
% 76.51/10.13 (! [A,B] :( disjoint(A,B)<=> set_intersection2(A,B) = empty_set ) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f33,axiom,(
% 76.51/10.13 (! [A,B] :( proper_subset(A,B)<=> ( subset(A,B)& A != B ) ) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f53,axiom,(
% 76.51/10.13 (! [A] : relation(identity_relation(A)) )),
% 76.51/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 76.51/10.13 fof(f56,axiom,(
% 76.51/10.13 (! [A,B] :( relation(A)=> relation(relation_dom_restriction(A,B)) ) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f59,axiom,(
% 77.22/10.14 (! [A] :(? [B] : element(B,A) ))),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f61,axiom,(
% 77.22/10.14 (! [A] : ~ empty(powerset(A)) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f62,axiom,(
% 77.22/10.14 empty(empty_set) ),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f65,axiom,(
% 77.22/10.14 (! [A] : ~ empty(singleton(A)) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f69,axiom,(
% 77.22/10.14 ( empty(empty_set)& relation(empty_set) ) ),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f71,axiom,(
% 77.22/10.14 (! [A] :( ( ~ empty(A)& relation(A) )=> ~ empty(relation_dom(A)) ) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f73,axiom,(
% 77.22/10.14 (! [A] :( empty(A)=> ( empty(relation_dom(A))& relation(relation_dom(A)) ) ) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f82,lemma,(
% 77.22/10.14 (! [A] : singleton(A) != empty_set )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f86,lemma,(
% 77.22/10.14 (! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f87,lemma,(
% 77.22/10.14 (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f98,axiom,(
% 77.22/10.14 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f110,lemma,(
% 77.22/10.14 (! [A] :(? [B] :( in(A,B)& (! [C,D] :( ( in(C,B)& subset(D,C) )=> in(D,B) ))& (! [C] :( in(C,B)=> in(powerset(C),B) ))& (! [C] :~ ( subset(C,B)& ~ are_equipotent(C,B)& ~ in(C,B) ) )) ))),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f111,lemma,(
% 77.22/10.14 (! [A,B] : subset(set_intersection2(A,B),A) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f113,axiom,(
% 77.22/10.14 (! [A] : set_union2(A,empty_set) = A )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f116,lemma,(
% 77.22/10.14 powerset(empty_set) = singleton(empty_set) ),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f119,lemma,(
% 77.22/10.14 (! [A] :( relation(A)=> (! [B] :( relation(B)=> ( subset(A,B)=> ( subset(relation_dom(A),relation_dom(B))& subset(relation_rng(A),relation_rng(B)) ) ) ) )) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f122,axiom,(
% 77.22/10.14 (! [A] : set_intersection2(A,empty_set) = empty_set )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f125,lemma,(
% 77.22/10.14 (! [A] : subset(empty_set,A) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f152,axiom,(
% 77.22/10.14 (! [A] : set_difference(empty_set,A) = empty_set )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f159,lemma,(
% 77.22/10.14 ( relation_dom(empty_set) = empty_set& relation_rng(empty_set) = empty_set ) ),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f160,lemma,(
% 77.22/10.14 (! [A,B] :~ ( subset(A,B)& proper_subset(B,A) ) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f162,lemma,(
% 77.22/10.14 (! [A] :( relation(A)=> ( ( relation_dom(A) = empty_set| relation_rng(A) = empty_set )=> A = empty_set ) ) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f166,axiom,(
% 77.22/10.14 (! [A] :( empty(A)=> A = empty_set ) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f168,lemma,(
% 77.22/10.14 (! [A] :( relation_dom(identity_relation(A)) = A& relation_rng(identity_relation(A)) = A ) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f170,axiom,(
% 77.22/10.14 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f171,lemma,(
% 77.22/10.14 (! [A,B] : subset(A,set_union2(A,B)) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f172,lemma,(
% 77.22/10.14 (! [A,B] :( disjoint(A,B)<=> set_difference(A,B) = A ) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f173,conjecture,(
% 77.22/10.14 (! [A,B,C] :( relation(C)=> ( in(A,relation_dom(relation_dom_restriction(C,B)))<=> ( in(A,B)& in(A,relation_dom(C)) ) ) ) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f174,negated_conjecture,(
% 77.22/10.14 ~((! [A,B,C] :( relation(C)=> ( in(A,relation_dom(relation_dom_restriction(C,B)))<=> ( in(A,B)& in(A,relation_dom(C)) ) ) ) ))),
% 77.22/10.14 inference(negated_conjecture,[status(cth)],[f173])).
% 77.22/10.14 fof(f175,axiom,(
% 77.22/10.14 (! [A,B] :~ ( empty(A)& A != B& empty(B) ) )),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f180,axiom,(
% 77.22/10.14 (! [A] :(? [B] :( in(A,B)& (! [C,D] :( ( in(C,B)& subset(D,C) )=> in(D,B) ))& (! [C] :~ ( in(C,B)& (! [D] :~ ( in(D,B)& (! [E] :( subset(E,C)=> in(E,D) ) )) )))& (! [C] :~ ( subset(C,B)& ~ are_equipotent(C,B)& ~ in(C,B) ) )) ))),
% 77.22/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 77.22/10.14 fof(f182,plain,(
% 77.22/10.14 ![A,B]: (~in(A,B)|~in(B,A))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 77.22/10.14 fof(f183,plain,(
% 77.22/10.14 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f182])).
% 77.22/10.14 fof(f186,plain,(
% 77.22/10.14 ![A]: (~empty(A)|relation(A))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 77.22/10.14 fof(f187,plain,(
% 77.22/10.14 ![X0]: (~empty(X0)|relation(X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f186])).
% 77.22/10.14 fof(f188,plain,(
% 77.22/10.14 ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f4])).
% 77.22/10.14 fof(f189,plain,(
% 77.22/10.14 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f5])).
% 77.22/10.14 fof(f190,plain,(
% 77.22/10.14 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f6])).
% 77.22/10.14 fof(f191,plain,(
% 77.22/10.14 ![A,B]: (~relation(B)|(B=identity_relation(A)<=>(![C,D]: (in(ordered_pair(C,D),B)<=>(in(C,A)&C=D)))))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 77.22/10.14 fof(f192,plain,(
% 77.22/10.14 ![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)))))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f191])).
% 77.22/10.14 fof(f193,plain,(
% 77.22/10.14 ![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))))))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f192])).
% 77.22/10.14 fof(f194,plain,(
% 77.22/10.14 ![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))))))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f193])).
% 77.22/10.14 fof(f195,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|~in(ordered_pair(X2,X3),X0)|in(X2,X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f194])).
% 77.22/10.14 fof(f196,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|~in(ordered_pair(X2,X3),X0)|X2=X3)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f194])).
% 77.22/10.14 fof(f197,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|in(ordered_pair(X2,X3),X0)|~in(X2,X1)|~X2=X3)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f194])).
% 77.22/10.14 fof(f198,plain,(
% 77.22/10.14 ![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)|~sk0_0(X1,X0)=sk0_1(X1,X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f194])).
% 77.22/10.14 fof(f199,plain,(
% 77.22/10.14 ![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))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f194])).
% 77.22/10.14 fof(f200,plain,(
% 77.22/10.14 ![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))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f194])).
% 77.22/10.14 fof(f201,plain,(
% 77.22/10.14 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f8])).
% 77.22/10.14 fof(f202,plain,(
% 77.22/10.14 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f201])).
% 77.22/10.14 fof(f203,plain,(
% 77.22/10.14 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f202])).
% 77.22/10.14 fof(f205,plain,(
% 77.22/10.14 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f202])).
% 77.22/10.14 fof(f206,plain,(
% 77.22/10.14 ![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))))))))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 77.22/10.14 fof(f207,plain,(
% 77.22/10.14 ![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))))))))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f206])).
% 77.22/10.14 fof(f208,plain,(
% 77.22/10.14 ![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)))))))))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f207])).
% 77.22/10.14 fof(f209,plain,(
% 77.22/10.14 ![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))))))))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f208])).
% 77.22/10.14 fof(f210,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|~X1=relation_dom_restriction(X0,X2)|~in(ordered_pair(X3,X4),X1)|in(X3,X2))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f209])).
% 77.22/10.14 fof(f211,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|~X1=relation_dom_restriction(X0,X2)|~in(ordered_pair(X3,X4),X1)|in(ordered_pair(X3,X4),X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f209])).
% 77.22/10.14 fof(f212,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|~X1=relation_dom_restriction(X0,X2)|in(ordered_pair(X3,X4),X1)|~in(X3,X2)|~in(ordered_pair(X3,X4),X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f209])).
% 77.22/10.14 fof(f213,plain,(
% 77.22/10.14 ![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)|~in(ordered_pair(sk0_2(X2,X1,X0),sk0_3(X2,X1,X0)),X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f209])).
% 77.22/10.14 fof(f214,plain,(
% 77.22/10.14 ![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))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f209])).
% 77.22/10.14 fof(f215,plain,(
% 77.22/10.14 ![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))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f209])).
% 77.22/10.14 fof(f216,plain,(
% 77.22/10.14 ![A]: (relation(A)<=>(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D)))))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 77.22/10.14 fof(f217,plain,(
% 77.22/10.14 ![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))))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f216])).
% 77.22/10.14 fof(f218,plain,(
% 77.22/10.14 (![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))))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f217])).
% 77.22/10.14 fof(f219,plain,(
% 77.22/10.14 (![A]: (~relation(A)|(![B]: (~in(B,A)|B=ordered_pair(sk0_4(B,A),sk0_5(B,A))))))&(![A]: (relation(A)|(in(sk0_6(A),A)&(![C,D]: ~sk0_6(A)=ordered_pair(C,D)))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f218])).
% 77.22/10.14 fof(f221,plain,(
% 77.22/10.14 ![X0]: (relation(X0)|in(sk0_6(X0),X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f219])).
% 77.22/10.14 fof(f222,plain,(
% 77.22/10.14 ![X0,X1,X2]: (relation(X0)|~sk0_6(X0)=ordered_pair(X1,X2))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f219])).
% 77.22/10.14 fof(f223,plain,(
% 77.22/10.14 ![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)))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 77.22/10.14 fof(f224,plain,(
% 77.22/10.14 ![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))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f223])).
% 77.22/10.14 fof(f225,plain,(
% 77.22/10.14 (![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)))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f224])).
% 77.22/10.14 fof(f226,plain,(
% 77.22/10.14 (![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_7(C,B,A),A)&~in(C,sk0_7(C,B,A))))))))&(![B]: (B=set_meet(A)|((~in(sk0_8(B,A),B)|(in(sk0_9(B,A),A)&~in(sk0_8(B,A),sk0_9(B,A))))&(in(sk0_8(B,A),B)|(![D]: (~in(D,A)|in(sk0_8(B,A),D))))))))))&(![A]: (~A=empty_set|((![B]: (~B=set_meet(A)|B=empty_set))&(![B]: (B=set_meet(A)|~B=empty_set)))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f225])).
% 77.22/10.14 fof(f227,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (X0=empty_set|~X1=set_meet(X0)|~in(X2,X1)|~in(X3,X0)|in(X2,X3))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f226])).
% 77.22/10.14 fof(f235,plain,(
% 77.22/10.14 ![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)))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f12])).
% 77.22/10.14 fof(f236,plain,(
% 77.22/10.14 (![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)))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f235])).
% 77.22/10.14 fof(f237,plain,(
% 77.22/10.14 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sk0_10(B,A),B)|~sk0_10(B,A)=A)&(in(sk0_10(B,A),B)|sk0_10(B,A)=A))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f236])).
% 77.22/10.14 fof(f238,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f237])).
% 77.22/10.14 fof(f239,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f237])).
% 77.22/10.14 fof(f242,plain,(
% 77.22/10.14 ![A]: ((~A=empty_set|(![B]: ~in(B,A)))&(A=empty_set|(?[B]: in(B,A))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f13])).
% 77.22/10.14 fof(f243,plain,(
% 77.22/10.14 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|(?[B]: in(B,A))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f242])).
% 77.22/10.14 fof(f244,plain,(
% 77.22/10.14 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|in(sk0_11(A),A)))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f243])).
% 77.22/10.14 fof(f245,plain,(
% 77.22/10.14 ![X0,X1]: (~X0=empty_set|~in(X1,X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f244])).
% 77.22/10.14 fof(f246,plain,(
% 77.22/10.14 ![X0]: (X0=empty_set|in(sk0_11(X0),X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f244])).
% 77.22/10.14 fof(f247,plain,(
% 77.22/10.14 ![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))))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f14])).
% 77.22/10.14 fof(f248,plain,(
% 77.22/10.14 (![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))))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f247])).
% 77.22/10.14 fof(f249,plain,(
% 77.22/10.14 (![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_12(B,A),B)|~subset(sk0_12(B,A),A))&(in(sk0_12(B,A),B)|subset(sk0_12(B,A),A)))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f248])).
% 77.22/10.14 fof(f250,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~X0=powerset(X1)|~in(X2,X0)|subset(X2,X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f249])).
% 77.22/10.14 fof(f251,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~X0=powerset(X1)|in(X2,X0)|~subset(X2,X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f249])).
% 77.22/10.14 fof(f254,plain,(
% 77.22/10.14 ![A,B]: ((empty(A)|(element(B,A)<=>in(B,A)))&(~empty(A)|(element(B,A)<=>empty(B))))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 77.22/10.14 fof(f255,plain,(
% 77.22/10.14 ![A,B]: ((empty(A)|((~element(B,A)|in(B,A))&(element(B,A)|~in(B,A))))&(~empty(A)|((~element(B,A)|empty(B))&(element(B,A)|~empty(B)))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f254])).
% 77.22/10.14 fof(f256,plain,(
% 77.22/10.14 (![A]: (empty(A)|((![B]: (~element(B,A)|in(B,A)))&(![B]: (element(B,A)|~in(B,A))))))&(![A]: (~empty(A)|((![B]: (~element(B,A)|empty(B)))&(![B]: (element(B,A)|~empty(B))))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f255])).
% 77.22/10.14 fof(f257,plain,(
% 77.22/10.14 ![X0,X1]: (empty(X0)|~element(X1,X0)|in(X1,X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f256])).
% 77.22/10.14 fof(f259,plain,(
% 77.22/10.14 ![X0,X1]: (~empty(X0)|~element(X1,X0)|empty(X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f256])).
% 77.22/10.14 fof(f260,plain,(
% 77.22/10.14 ![X0,X1]: (~empty(X0)|element(X1,X0)|~empty(X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f256])).
% 77.22/10.14 fof(f261,plain,(
% 77.22/10.14 ![A,B,C]: ((~C=unordered_pair(A,B)|(![D]: ((~in(D,C)|(D=A|D=B))&(in(D,C)|(~D=A&~D=B)))))&(C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f16])).
% 77.22/10.14 fof(f262,plain,(
% 77.22/10.14 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f261])).
% 77.22/10.14 fof(f263,plain,(
% 77.22/10.14 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|((~in(sk0_13(C,B,A),C)|(~sk0_13(C,B,A)=A&~sk0_13(C,B,A)=B))&(in(sk0_13(C,B,A),C)|(sk0_13(C,B,A)=A|sk0_13(C,B,A)=B)))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f262])).
% 77.22/10.14 fof(f264,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|~in(X3,X0)|X3=X1|X3=X2)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f263])).
% 77.22/10.14 fof(f265,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X1)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f263])).
% 77.22/10.14 fof(f266,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X2)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f263])).
% 77.22/10.14 fof(f270,plain,(
% 77.22/10.14 ![A,B,C]: ((~C=set_union2(A,B)|(![D]: ((~in(D,C)|(in(D,A)|in(D,B)))&(in(D,C)|(~in(D,A)&~in(D,B))))))&(C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f17])).
% 77.22/10.14 fof(f271,plain,(
% 77.22/10.14 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f270])).
% 77.22/10.14 fof(f272,plain,(
% 77.22/10.14 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|((~in(sk0_14(C,B,A),C)|(~in(sk0_14(C,B,A),A)&~in(sk0_14(C,B,A),B)))&(in(sk0_14(C,B,A),C)|(in(sk0_14(C,B,A),A)|in(sk0_14(C,B,A),B))))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f271])).
% 77.22/10.14 fof(f273,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~X0=set_union2(X1,X2)|~in(X3,X0)|in(X3,X1)|in(X3,X2))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f272])).
% 77.22/10.14 fof(f288,plain,(
% 77.22/10.14 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 77.22/10.14 fof(f289,plain,(
% 77.22/10.14 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f288])).
% 77.22/10.14 fof(f290,plain,(
% 77.22/10.14 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f289])).
% 77.22/10.14 fof(f291,plain,(
% 77.22/10.14 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sk0_20(B,A),A)&~in(sk0_20(B,A),B))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f290])).
% 77.22/10.14 fof(f292,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f291])).
% 77.22/10.14 fof(f293,plain,(
% 77.22/10.14 ![X0,X1]: (subset(X0,X1)|in(sk0_20(X1,X0),X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f291])).
% 77.22/10.14 fof(f295,plain,(
% 77.22/10.14 ![A,B,C]: ((~C=set_intersection2(A,B)|(![D]: ((~in(D,C)|(in(D,A)&in(D,B)))&(in(D,C)|(~in(D,A)|~in(D,B))))))&(C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f20])).
% 77.22/10.14 fof(f296,plain,(
% 77.22/10.14 (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f295])).
% 77.22/10.14 fof(f297,plain,(
% 77.22/10.14 (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|((~in(sk0_21(C,B,A),C)|(~in(sk0_21(C,B,A),A)|~in(sk0_21(C,B,A),B)))&(in(sk0_21(C,B,A),C)|(in(sk0_21(C,B,A),A)&in(sk0_21(C,B,A),B))))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f296])).
% 77.22/10.14 fof(f298,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|~in(X3,X0)|in(X3,X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f297])).
% 77.22/10.14 fof(f299,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|~in(X3,X0)|in(X3,X2))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f297])).
% 77.22/10.14 fof(f302,plain,(
% 77.22/10.14 ![X0,X1,X2]: (X0=set_intersection2(X1,X2)|in(sk0_21(X0,X2,X1),X0)|in(sk0_21(X0,X2,X1),X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f297])).
% 77.22/10.14 fof(f304,plain,(
% 77.22/10.14 ![A]: (~relation(A)|(![B]: (B=relation_dom(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(C,D),A)))))))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 77.22/10.14 fof(f305,plain,(
% 77.22/10.14 ![A]: (~relation(A)|(![B]: ((~B=relation_dom(A)|(![C]: ((~in(C,B)|(?[D]: in(ordered_pair(C,D),A)))&(in(C,B)|(![D]: ~in(ordered_pair(C,D),A))))))&(B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f304])).
% 77.22/10.14 fof(f306,plain,(
% 77.22/10.14 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(C,D),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f305])).
% 77.22/10.14 fof(f307,plain,(
% 77.22/10.14 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|in(ordered_pair(C,sk0_22(C,B,A)),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|((~in(sk0_23(B,A),B)|(![D]: ~in(ordered_pair(sk0_23(B,A),D),A)))&(in(sk0_23(B,A),B)|in(ordered_pair(sk0_23(B,A),sk0_24(B,A)),A)))))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f306])).
% 77.22/10.14 fof(f308,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(X0)|~X1=relation_dom(X0)|~in(X2,X1)|in(ordered_pair(X2,sk0_22(X2,X1,X0)),X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f307])).
% 77.22/10.14 fof(f309,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_dom(X0)|in(X2,X1)|~in(ordered_pair(X2,X3),X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f307])).
% 77.22/10.14 fof(f310,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(X0)|X1=relation_dom(X0)|~in(sk0_23(X1,X0),X1)|~in(ordered_pair(sk0_23(X1,X0),X2),X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f307])).
% 77.22/10.14 fof(f311,plain,(
% 77.22/10.14 ![X0,X1]: (~relation(X0)|X1=relation_dom(X0)|in(sk0_23(X1,X0),X1)|in(ordered_pair(sk0_23(X1,X0),sk0_24(X1,X0)),X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f307])).
% 77.22/10.14 fof(f313,plain,(
% 77.22/10.14 ![A,B]: ((~B=union(A)|(![C]: ((~in(C,B)|(?[D]: (in(C,D)&in(D,A))))&(in(C,B)|(![D]: (~in(C,D)|~in(D,A)))))))&(B=union(A)|(?[C]: ((~in(C,B)|(![D]: (~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]: (in(C,D)&in(D,A))))))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f23])).
% 77.22/10.14 fof(f314,plain,(
% 77.22/10.14 (![A,B]: (~B=union(A)|((![C]: (~in(C,B)|(?[D]: (in(C,D)&in(D,A)))))&(![C]: (in(C,B)|(![D]: (~in(C,D)|~in(D,A))))))))&(![A,B]: (B=union(A)|(?[C]: ((~in(C,B)|(![D]: (~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]: (in(C,D)&in(D,A))))))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f313])).
% 77.22/10.14 fof(f315,plain,(
% 77.22/10.14 (![A,B]: (~B=union(A)|((![C]: (~in(C,B)|(in(C,sk0_25(C,B,A))&in(sk0_25(C,B,A),A))))&(![C]: (in(C,B)|(![D]: (~in(C,D)|~in(D,A))))))))&(![A,B]: (B=union(A)|((~in(sk0_26(B,A),B)|(![D]: (~in(sk0_26(B,A),D)|~in(D,A))))&(in(sk0_26(B,A),B)|(in(sk0_26(B,A),sk0_27(B,A))&in(sk0_27(B,A),A))))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f314])).
% 77.22/10.14 fof(f317,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~X0=union(X1)|~in(X2,X0)|in(sk0_25(X2,X0,X1),X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f315])).
% 77.22/10.14 fof(f322,plain,(
% 77.22/10.14 ![A,B,C]: ((~C=set_difference(A,B)|(![D]: ((~in(D,C)|(in(D,A)&~in(D,B)))&(in(D,C)|(~in(D,A)|in(D,B))))))&(C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f24])).
% 77.22/10.14 fof(f323,plain,(
% 77.22/10.14 (![A,B,C]: (~C=set_difference(A,B)|((![D]: (~in(D,C)|(in(D,A)&~in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|in(D,B)))))))&(![A,B,C]: (C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f322])).
% 77.22/10.14 fof(f324,plain,(
% 77.22/10.14 (![A,B,C]: (~C=set_difference(A,B)|((![D]: (~in(D,C)|(in(D,A)&~in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|in(D,B)))))))&(![A,B,C]: (C=set_difference(A,B)|((~in(sk0_28(C,B,A),C)|(~in(sk0_28(C,B,A),A)|in(sk0_28(C,B,A),B)))&(in(sk0_28(C,B,A),C)|(in(sk0_28(C,B,A),A)&~in(sk0_28(C,B,A),B))))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f323])).
% 77.22/10.14 fof(f325,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|in(X3,X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f324])).
% 77.22/10.14 fof(f326,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|~in(X3,X2))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f324])).
% 77.22/10.14 fof(f352,plain,(
% 77.22/10.14 ![A,B]: ((~disjoint(A,B)|set_intersection2(A,B)=empty_set)&(disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f30])).
% 77.22/10.14 fof(f353,plain,(
% 77.22/10.14 (![A,B]: (~disjoint(A,B)|set_intersection2(A,B)=empty_set))&(![A,B]: (disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f352])).
% 77.22/10.14 fof(f355,plain,(
% 77.22/10.14 ![X0,X1]: (disjoint(X0,X1)|~set_intersection2(X0,X1)=empty_set)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f353])).
% 77.22/10.14 fof(f374,plain,(
% 77.22/10.14 ![A,B]: ((~proper_subset(A,B)|(subset(A,B)&~A=B))&(proper_subset(A,B)|(~subset(A,B)|A=B)))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f33])).
% 77.22/10.14 fof(f375,plain,(
% 77.22/10.14 (![A,B]: (~proper_subset(A,B)|(subset(A,B)&~A=B)))&(![A,B]: (proper_subset(A,B)|(~subset(A,B)|A=B)))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f374])).
% 77.22/10.14 fof(f376,plain,(
% 77.22/10.14 ![X0,X1]: (~proper_subset(X0,X1)|subset(X0,X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f375])).
% 77.22/10.14 fof(f378,plain,(
% 77.22/10.14 ![X0,X1]: (proper_subset(X0,X1)|~subset(X0,X1)|X0=X1)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f375])).
% 77.22/10.14 fof(f388,plain,(
% 77.22/10.14 ![X0]: (relation(identity_relation(X0)))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f53])).
% 77.22/10.14 fof(f393,plain,(
% 77.22/10.14 ![A,B]: (~relation(A)|relation(relation_dom_restriction(A,B)))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 77.22/10.14 fof(f394,plain,(
% 77.22/10.14 ![A]: (~relation(A)|(![B]: relation(relation_dom_restriction(A,B))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f393])).
% 77.22/10.14 fof(f395,plain,(
% 77.22/10.14 ![X0,X1]: (~relation(X0)|relation(relation_dom_restriction(X0,X1)))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f394])).
% 77.22/10.14 fof(f398,plain,(
% 77.22/10.14 ![A]: element(sk0_39(A),A)),
% 77.22/10.14 inference(skolemization,[status(esa)],[f59])).
% 77.22/10.14 fof(f399,plain,(
% 77.22/10.14 ![X0]: (element(sk0_39(X0),X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f398])).
% 77.22/10.14 fof(f403,plain,(
% 77.22/10.14 ![X0]: (~empty(powerset(X0)))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f61])).
% 77.22/10.14 fof(f404,plain,(
% 77.22/10.14 empty(empty_set)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f62])).
% 77.22/10.14 fof(f408,plain,(
% 77.22/10.14 ![X0]: (~empty(singleton(X0)))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f65])).
% 77.22/10.14 fof(f417,plain,(
% 77.22/10.14 relation(empty_set)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f69])).
% 77.22/10.14 fof(f420,plain,(
% 77.22/10.14 ![A]: ((empty(A)|~relation(A))|~empty(relation_dom(A)))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f71])).
% 77.22/10.14 fof(f421,plain,(
% 77.22/10.14 ![X0]: (empty(X0)|~relation(X0)|~empty(relation_dom(X0)))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f420])).
% 77.22/10.14 fof(f424,plain,(
% 77.22/10.14 ![A]: (~empty(A)|(empty(relation_dom(A))&relation(relation_dom(A))))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f73])).
% 77.22/10.14 fof(f425,plain,(
% 77.22/10.14 ![X0]: (~empty(X0)|empty(relation_dom(X0)))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f424])).
% 77.22/10.14 fof(f426,plain,(
% 77.22/10.14 ![X0]: (~empty(X0)|relation(relation_dom(X0)))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f424])).
% 77.22/10.14 fof(f445,plain,(
% 77.22/10.14 ![X0]: (~singleton(X0)=empty_set)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f82])).
% 77.22/10.14 fof(f452,plain,(
% 77.22/10.14 ![A,B]: ((~subset(singleton(A),B)|in(A,B))&(subset(singleton(A),B)|~in(A,B)))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f86])).
% 77.22/10.14 fof(f453,plain,(
% 77.22/10.14 (![A,B]: (~subset(singleton(A),B)|in(A,B)))&(![A,B]: (subset(singleton(A),B)|~in(A,B)))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f452])).
% 77.22/10.14 fof(f454,plain,(
% 77.22/10.14 ![X0,X1]: (~subset(singleton(X0),X1)|in(X0,X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f453])).
% 77.22/10.14 fof(f455,plain,(
% 77.22/10.14 ![X0,X1]: (subset(singleton(X0),X1)|~in(X0,X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f453])).
% 77.22/10.14 fof(f456,plain,(
% 77.22/10.14 ![A,B]: ((~set_difference(A,B)=empty_set|subset(A,B))&(set_difference(A,B)=empty_set|~subset(A,B)))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f87])).
% 77.22/10.14 fof(f457,plain,(
% 77.22/10.14 (![A,B]: (~set_difference(A,B)=empty_set|subset(A,B)))&(![A,B]: (set_difference(A,B)=empty_set|~subset(A,B)))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f456])).
% 77.22/10.14 fof(f458,plain,(
% 77.22/10.14 ![X0,X1]: (~set_difference(X0,X1)=empty_set|subset(X0,X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f457])).
% 77.22/10.14 fof(f493,plain,(
% 77.22/10.14 ![A]: (element(sk0_45(A),powerset(A))&empty(sk0_45(A)))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f98])).
% 77.22/10.14 fof(f494,plain,(
% 77.22/10.14 ![X0]: (element(sk0_45(X0),powerset(X0)))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f493])).
% 77.22/10.14 fof(f495,plain,(
% 77.22/10.14 ![X0]: (empty(sk0_45(X0)))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f493])).
% 77.22/10.14 fof(f524,plain,(
% 77.22/10.14 ![A]: (?[B]: (((in(A,B)&(![C,D]: ((~in(C,B)|~subset(D,C))|in(D,B))))&(![C]: (~in(C,B)|in(powerset(C),B))))&(![C]: ((~subset(C,B)|are_equipotent(C,B))|in(C,B)))))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f110])).
% 77.22/10.14 fof(f525,plain,(
% 77.22/10.14 ![A]: ?[B]: (((in(A,B)&(![D]: ((![C]: (~in(C,B)|~subset(D,C)))|in(D,B))))&(![C]: (~in(C,B)|in(powerset(C),B))))&(![C]: ((~subset(C,B)|are_equipotent(C,B))|in(C,B))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f524])).
% 77.22/10.14 fof(f526,plain,(
% 77.22/10.14 ![A]: (((in(A,sk0_47(A))&(![D]: ((![C]: (~in(C,sk0_47(A))|~subset(D,C)))|in(D,sk0_47(A)))))&(![C]: (~in(C,sk0_47(A))|in(powerset(C),sk0_47(A)))))&(![C]: ((~subset(C,sk0_47(A))|are_equipotent(C,sk0_47(A)))|in(C,sk0_47(A)))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f525])).
% 77.22/10.14 fof(f527,plain,(
% 77.22/10.14 ![X0]: (in(X0,sk0_47(X0)))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f526])).
% 77.22/10.14 fof(f531,plain,(
% 77.22/10.14 ![X0,X1]: (subset(set_intersection2(X0,X1),X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f111])).
% 77.22/10.14 fof(f534,plain,(
% 77.22/10.14 ![X0]: (set_union2(X0,empty_set)=X0)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f113])).
% 77.22/10.14 fof(f540,plain,(
% 77.22/10.14 powerset(empty_set)=singleton(empty_set)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f116])).
% 77.22/10.14 fof(f547,plain,(
% 77.22/10.14 ![A]: (~relation(A)|(![B]: (~relation(B)|(~subset(A,B)|(subset(relation_dom(A),relation_dom(B))&subset(relation_rng(A),relation_rng(B)))))))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f119])).
% 77.22/10.14 fof(f548,plain,(
% 77.22/10.14 ![X0,X1]: (~relation(X0)|~relation(X1)|~subset(X0,X1)|subset(relation_dom(X0),relation_dom(X1)))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f547])).
% 77.22/10.14 fof(f555,plain,(
% 77.22/10.14 ![X0]: (set_intersection2(X0,empty_set)=empty_set)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f122])).
% 77.22/10.14 fof(f563,plain,(
% 77.22/10.14 ![X0]: (subset(empty_set,X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f125])).
% 77.22/10.14 fof(f634,plain,(
% 77.22/10.14 ![X0]: (set_difference(empty_set,X0)=empty_set)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f152])).
% 77.22/10.14 fof(f654,plain,(
% 77.22/10.14 relation_dom(empty_set)=empty_set),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f159])).
% 77.22/10.14 fof(f655,plain,(
% 77.22/10.14 relation_rng(empty_set)=empty_set),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f159])).
% 77.22/10.14 fof(f656,plain,(
% 77.22/10.14 ![A,B]: (~subset(A,B)|~proper_subset(B,A))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f160])).
% 77.22/10.14 fof(f657,plain,(
% 77.22/10.14 ![X0,X1]: (~subset(X0,X1)|~proper_subset(X1,X0))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f656])).
% 77.22/10.14 fof(f661,plain,(
% 77.22/10.14 ![A]: (~relation(A)|((~relation_dom(A)=empty_set&~relation_rng(A)=empty_set)|A=empty_set))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f162])).
% 77.22/10.14 fof(f662,plain,(
% 77.22/10.14 ![X0]: (~relation(X0)|~relation_dom(X0)=empty_set|X0=empty_set)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f661])).
% 77.22/10.14 fof(f673,plain,(
% 77.22/10.14 ![A]: (~empty(A)|A=empty_set)),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f166])).
% 77.22/10.14 fof(f674,plain,(
% 77.22/10.14 ![X0]: (~empty(X0)|X0=empty_set)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f673])).
% 77.22/10.14 fof(f677,plain,(
% 77.22/10.14 (![A]: relation_dom(identity_relation(A))=A)&(![A]: relation_rng(identity_relation(A))=A)),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f168])).
% 77.22/10.14 fof(f678,plain,(
% 77.22/10.14 ![X0]: (relation_dom(identity_relation(X0))=X0)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f677])).
% 77.22/10.14 fof(f679,plain,(
% 77.22/10.14 ![X0]: (relation_rng(identity_relation(X0))=X0)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f677])).
% 77.22/10.14 fof(f686,plain,(
% 77.22/10.14 ![A,B]: (~in(A,B)|~empty(B))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f170])).
% 77.22/10.14 fof(f687,plain,(
% 77.22/10.14 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f686])).
% 77.22/10.14 fof(f688,plain,(
% 77.22/10.14 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f687])).
% 77.22/10.14 fof(f689,plain,(
% 77.22/10.14 ![X0,X1]: (subset(X0,set_union2(X0,X1)))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f171])).
% 77.22/10.14 fof(f690,plain,(
% 77.22/10.14 ![A,B]: ((~disjoint(A,B)|set_difference(A,B)=A)&(disjoint(A,B)|~set_difference(A,B)=A))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f172])).
% 77.22/10.14 fof(f691,plain,(
% 77.22/10.14 (![A,B]: (~disjoint(A,B)|set_difference(A,B)=A))&(![A,B]: (disjoint(A,B)|~set_difference(A,B)=A))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f690])).
% 77.22/10.14 fof(f693,plain,(
% 77.22/10.14 ![X0,X1]: (disjoint(X0,X1)|~set_difference(X0,X1)=X0)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f691])).
% 77.22/10.14 fof(f694,plain,(
% 77.22/10.14 (?[A,B,C]: (relation(C)&(in(A,relation_dom(relation_dom_restriction(C,B)))<~>(in(A,B)&in(A,relation_dom(C))))))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f174])).
% 77.22/10.14 fof(f695,plain,(
% 77.22/10.14 ?[A,B,C]: (relation(C)&((in(A,relation_dom(relation_dom_restriction(C,B)))|(in(A,B)&in(A,relation_dom(C))))&(~in(A,relation_dom(relation_dom_restriction(C,B)))|(~in(A,B)|~in(A,relation_dom(C))))))),
% 77.22/10.14 inference(NNF_transformation,[status(esa)],[f694])).
% 77.22/10.14 fof(f696,plain,(
% 77.22/10.14 ?[C]: (relation(C)&(?[A,B]: ((in(A,relation_dom(relation_dom_restriction(C,B)))|(in(A,B)&in(A,relation_dom(C))))&(~in(A,relation_dom(relation_dom_restriction(C,B)))|(~in(A,B)|~in(A,relation_dom(C)))))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f695])).
% 77.22/10.14 fof(f697,plain,(
% 77.22/10.14 (relation(sk0_53)&((in(sk0_54,relation_dom(relation_dom_restriction(sk0_53,sk0_55)))|(in(sk0_54,sk0_55)&in(sk0_54,relation_dom(sk0_53))))&(~in(sk0_54,relation_dom(relation_dom_restriction(sk0_53,sk0_55)))|(~in(sk0_54,sk0_55)|~in(sk0_54,relation_dom(sk0_53))))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f696])).
% 77.22/10.14 fof(f698,plain,(
% 77.22/10.14 relation(sk0_53)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f697])).
% 77.22/10.14 fof(f699,plain,(
% 77.22/10.14 in(sk0_54,relation_dom(relation_dom_restriction(sk0_53,sk0_55)))|in(sk0_54,sk0_55)),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f697])).
% 77.22/10.14 fof(f700,plain,(
% 77.22/10.14 in(sk0_54,relation_dom(relation_dom_restriction(sk0_53,sk0_55)))|in(sk0_54,relation_dom(sk0_53))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f697])).
% 77.22/10.14 fof(f701,plain,(
% 77.22/10.14 ~in(sk0_54,relation_dom(relation_dom_restriction(sk0_53,sk0_55)))|~in(sk0_54,sk0_55)|~in(sk0_54,relation_dom(sk0_53))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f697])).
% 77.22/10.14 fof(f702,plain,(
% 77.22/10.14 ![A,B]: ((~empty(A)|A=B)|~empty(B))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f175])).
% 77.22/10.14 fof(f703,plain,(
% 77.22/10.14 ![B]: ((![A]: (~empty(A)|A=B))|~empty(B))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f702])).
% 77.22/10.14 fof(f704,plain,(
% 77.22/10.14 ![X0,X1]: (~empty(X0)|X0=X1|~empty(X1))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f703])).
% 77.22/10.14 fof(f713,plain,(
% 77.22/10.14 ![A]: (?[B]: (((in(A,B)&(![C,D]: ((~in(C,B)|~subset(D,C))|in(D,B))))&(![C]: (~in(C,B)|(?[D]: (in(D,B)&(![E]: (~subset(E,C)|in(E,D))))))))&(![C]: ((~subset(C,B)|are_equipotent(C,B))|in(C,B)))))),
% 77.22/10.14 inference(pre_NNF_transformation,[status(esa)],[f180])).
% 77.22/10.14 fof(f714,plain,(
% 77.22/10.14 ![A]: ?[B]: (((in(A,B)&(![D]: ((![C]: (~in(C,B)|~subset(D,C)))|in(D,B))))&(![C]: (~in(C,B)|(?[D]: (in(D,B)&(![E]: (~subset(E,C)|in(E,D))))))))&(![C]: ((~subset(C,B)|are_equipotent(C,B))|in(C,B))))),
% 77.22/10.14 inference(miniscoping,[status(esa)],[f713])).
% 77.22/10.14 fof(f715,plain,(
% 77.22/10.14 ![A]: (((in(A,sk0_56(A))&(![D]: ((![C]: (~in(C,sk0_56(A))|~subset(D,C)))|in(D,sk0_56(A)))))&(![C]: (~in(C,sk0_56(A))|(in(sk0_57(C,A),sk0_56(A))&(![E]: (~subset(E,C)|in(E,sk0_57(C,A))))))))&(![C]: ((~subset(C,sk0_56(A))|are_equipotent(C,sk0_56(A)))|in(C,sk0_56(A)))))),
% 77.22/10.14 inference(skolemization,[status(esa)],[f714])).
% 77.22/10.14 fof(f716,plain,(
% 77.22/10.14 ![X0]: (in(X0,sk0_56(X0)))),
% 77.22/10.14 inference(cnf_transformation,[status(esa)],[f715])).
% 77.22/10.14 fof(f730,plain,(
% 77.22/10.14 spl0_0 <=> in(sk0_54,relation_dom(relation_dom_restriction(sk0_53,sk0_55)))),
% 77.22/10.14 introduced(split_symbol_definition)).
% 77.22/10.14 fof(f731,plain,(
% 77.22/10.14 in(sk0_54,relation_dom(relation_dom_restriction(sk0_53,sk0_55)))|~spl0_0),
% 77.22/10.14 inference(component_clause,[status(thm)],[f730])).
% 77.22/10.14 fof(f732,plain,(
% 77.22/10.14 ~in(sk0_54,relation_dom(relation_dom_restriction(sk0_53,sk0_55)))|spl0_0),
% 77.22/10.14 inference(component_clause,[status(thm)],[f730])).
% 77.22/10.14 fof(f733,plain,(
% 77.22/10.14 spl0_1 <=> in(sk0_54,sk0_55)),
% 77.22/10.14 introduced(split_symbol_definition)).
% 77.22/10.14 fof(f736,plain,(
% 77.22/10.14 spl0_0|spl0_1),
% 77.22/10.14 inference(split_clause,[status(thm)],[f699,f730,f733])).
% 77.22/10.14 fof(f737,plain,(
% 77.22/10.14 spl0_2 <=> in(sk0_54,relation_dom(sk0_53))),
% 77.22/10.14 introduced(split_symbol_definition)).
% 77.22/10.14 fof(f738,plain,(
% 77.22/10.14 in(sk0_54,relation_dom(sk0_53))|~spl0_2),
% 77.22/10.14 inference(component_clause,[status(thm)],[f737])).
% 77.22/10.14 fof(f739,plain,(
% 77.22/10.14 ~in(sk0_54,relation_dom(sk0_53))|spl0_2),
% 77.22/10.14 inference(component_clause,[status(thm)],[f737])).
% 77.22/10.14 fof(f740,plain,(
% 77.22/10.14 spl0_0|spl0_2),
% 77.22/10.14 inference(split_clause,[status(thm)],[f700,f730,f737])).
% 77.22/10.14 fof(f741,plain,(
% 77.22/10.14 ~spl0_0|~spl0_1|~spl0_2),
% 77.22/10.14 inference(split_clause,[status(thm)],[f701,f730,f733,f737])).
% 77.22/10.14 fof(f742,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),identity_relation(X0))|in(X1,X0))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f195])).
% 77.22/10.14 fof(f743,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),identity_relation(X0))|X1=X2)),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f196])).
% 77.22/10.14 fof(f744,plain,(
% 77.22/10.14 ![X0,X1]: (~relation(identity_relation(X0))|in(ordered_pair(X1,X1),identity_relation(X0))|~in(X1,X0))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f197])).
% 77.22/10.14 fof(f745,plain,(
% 77.22/10.14 ![X0]: (subset(X0,X0))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f203])).
% 77.22/10.14 fof(f747,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(X0)|~relation(relation_dom_restriction(X0,X1))|~in(ordered_pair(X2,X3),relation_dom_restriction(X0,X1))|in(X2,X1))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f210])).
% 77.22/10.14 fof(f748,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(X0)|~relation(relation_dom_restriction(X0,X1))|~in(ordered_pair(X2,X3),relation_dom_restriction(X0,X1))|in(ordered_pair(X2,X3),X0))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f211])).
% 77.22/10.14 fof(f749,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(X0)|~relation(relation_dom_restriction(X0,X1))|in(ordered_pair(X2,X3),relation_dom_restriction(X0,X1))|~in(X2,X1)|~in(ordered_pair(X2,X3),X0))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f212])).
% 77.22/10.14 fof(f750,plain,(
% 77.22/10.14 ![X0,X1,X2]: (X0=empty_set|~in(X1,set_meet(X0))|~in(X2,X0)|in(X1,X2))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f227])).
% 77.22/10.14 fof(f755,plain,(
% 77.22/10.14 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f238])).
% 77.22/10.14 fof(f756,plain,(
% 77.22/10.14 ![X0]: (in(X0,singleton(X0)))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f239])).
% 77.22/10.14 fof(f757,plain,(
% 77.22/10.14 ![X0]: (~in(X0,empty_set))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f245])).
% 77.22/10.14 fof(f758,plain,(
% 77.22/10.14 ![X0,X1]: (~in(X0,powerset(X1))|subset(X0,X1))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f250])).
% 77.22/10.14 fof(f759,plain,(
% 77.22/10.14 ![X0,X1]: (in(X0,powerset(X1))|~subset(X0,X1))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f251])).
% 77.22/10.14 fof(f760,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~in(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f264])).
% 77.22/10.14 fof(f761,plain,(
% 77.22/10.14 ![X0,X1]: (in(X0,unordered_pair(X0,X1)))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f265])).
% 77.22/10.14 fof(f762,plain,(
% 77.22/10.14 ![X0,X1]: (in(X0,unordered_pair(X1,X0)))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f266])).
% 77.22/10.14 fof(f763,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~in(X0,set_union2(X1,X2))|in(X0,X1)|in(X0,X2))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f273])).
% 77.22/10.14 fof(f768,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|in(X0,X1))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f298])).
% 77.22/10.14 fof(f769,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|in(X0,X2))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f299])).
% 77.22/10.14 fof(f771,plain,(
% 77.22/10.14 ![X0,X1]: (~relation(X0)|~in(X1,relation_dom(X0))|in(ordered_pair(X1,sk0_22(X1,relation_dom(X0),X0)),X0))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f308])).
% 77.22/10.14 fof(f772,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_dom(X0))|~in(ordered_pair(X1,X2),X0))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f309])).
% 77.22/10.14 fof(f774,plain,(
% 77.22/10.14 ![X0,X1]: (~in(X0,union(X1))|in(sk0_25(X0,union(X1),X1),X1))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f317])).
% 77.22/10.14 fof(f776,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|in(X0,X1))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f325])).
% 77.22/10.14 fof(f777,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|~in(X0,X2))),
% 77.22/10.14 inference(destructive_equality_resolution,[status(esa)],[f326])).
% 77.22/10.14 fof(f794,plain,(
% 77.22/10.14 spl0_3 <=> empty(empty_set)),
% 77.22/10.14 introduced(split_symbol_definition)).
% 77.22/10.14 fof(f796,plain,(
% 77.22/10.14 ~empty(empty_set)|spl0_3),
% 77.22/10.14 inference(component_clause,[status(thm)],[f794])).
% 77.22/10.14 fof(f799,plain,(
% 77.22/10.14 spl0_4 <=> relation(empty_set)),
% 77.22/10.14 introduced(split_symbol_definition)).
% 77.22/10.14 fof(f802,plain,(
% 77.22/10.14 ~empty(empty_set)|relation(empty_set)),
% 77.22/10.14 inference(paramodulation,[status(thm)],[f654,f426])).
% 77.22/10.14 fof(f803,plain,(
% 77.22/10.14 ~spl0_3|spl0_4),
% 77.22/10.14 inference(split_clause,[status(thm)],[f802,f794,f799])).
% 77.22/10.14 fof(f804,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(X0)|~in(ordered_pair(X1,X2),relation_dom_restriction(X0,X3))|in(X1,X3))),
% 77.22/10.14 inference(backward_subsumption_resolution,[status(thm)],[f747,f395])).
% 77.22/10.14 fof(f807,plain,(
% 77.22/10.14 spl0_5 <=> empty_set=empty_set),
% 77.22/10.14 introduced(split_symbol_definition)).
% 77.22/10.14 fof(f810,plain,(
% 77.22/10.14 ~relation(empty_set)|empty_set=empty_set),
% 77.22/10.14 inference(resolution,[status(thm)],[f662,f654])).
% 77.22/10.14 fof(f811,plain,(
% 77.22/10.14 ~spl0_4|spl0_5),
% 77.22/10.14 inference(split_clause,[status(thm)],[f810,f799,f807])).
% 77.22/10.14 fof(f814,plain,(
% 77.22/10.14 spl0_6 <=> ~relation(X0)|~subset(empty_set,X0)|subset(empty_set,relation_dom(X0))),
% 77.22/10.14 introduced(split_symbol_definition)).
% 77.22/10.14 fof(f817,plain,(
% 77.22/10.14 ![X0]: (~relation(empty_set)|~relation(X0)|~subset(empty_set,X0)|subset(empty_set,relation_dom(X0)))),
% 77.22/10.14 inference(paramodulation,[status(thm)],[f654,f548])).
% 77.22/10.14 fof(f818,plain,(
% 77.22/10.14 ~spl0_4|spl0_6),
% 77.22/10.14 inference(split_clause,[status(thm)],[f817,f799,f814])).
% 77.22/10.14 fof(f819,plain,(
% 77.22/10.14 spl0_7 <=> ~relation(X0)|~subset(X0,empty_set)|subset(relation_dom(X0),empty_set)),
% 77.22/10.14 introduced(split_symbol_definition)).
% 77.22/10.14 fof(f820,plain,(
% 77.22/10.14 ![X0]: (~relation(X0)|~subset(X0,empty_set)|subset(relation_dom(X0),empty_set)|~spl0_7)),
% 77.22/10.14 inference(component_clause,[status(thm)],[f819])).
% 77.22/10.14 fof(f822,plain,(
% 77.22/10.14 ![X0]: (~relation(X0)|~relation(empty_set)|~subset(X0,empty_set)|subset(relation_dom(X0),empty_set))),
% 77.22/10.14 inference(paramodulation,[status(thm)],[f654,f548])).
% 77.22/10.14 fof(f823,plain,(
% 77.22/10.14 spl0_7|~spl0_4),
% 77.22/10.14 inference(split_clause,[status(thm)],[f822,f819,f799])).
% 77.22/10.14 fof(f824,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(X0)|~in(ordered_pair(X1,X2),relation_dom_restriction(X0,X3))|in(ordered_pair(X1,X2),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f748,f395])).
% 77.22/10.14 fof(f825,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(X0)|in(ordered_pair(X1,X2),relation_dom_restriction(X0,X3))|~in(X1,X3)|~in(ordered_pair(X1,X2),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f749,f395])).
% 77.22/10.14 fof(f826,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(X0)|~in(X1,X2)|~in(ordered_pair(X1,X3),X0)|~relation(relation_dom_restriction(X0,X2))|in(X1,relation_dom(relation_dom_restriction(X0,X2))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f825,f772])).
% 77.22/10.14 fof(f827,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(X0)|~in(X1,X2)|~in(ordered_pair(X1,X3),X0)|in(X1,relation_dom(relation_dom_restriction(X0,X2))))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f826,f395])).
% 77.22/10.14 fof(f828,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(X0)|~in(X1,X2)|~in(ordered_pair(X1,X3),X0)|~in(relation_dom_restriction(X0,X2),ordered_pair(X1,X3)))),
% 77.22/10.14 inference(resolution,[status(thm)],[f825,f183])).
% 77.22/10.14 fof(f829,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (~relation(X0)|~in(ordered_pair(X1,X2),X3)|~in(ordered_pair(ordered_pair(X1,X2),X4),X0)|~relation(relation_dom(relation_dom_restriction(X0,X3)))|in(X1,relation_dom(relation_dom(relation_dom_restriction(X0,X3)))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f827,f772])).
% 77.22/10.14 fof(f830,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(X0)|~in(X1,X2)|~in(ordered_pair(X1,X3),X0)|~in(relation_dom(relation_dom_restriction(X0,X2)),X1))),
% 77.22/10.14 inference(resolution,[status(thm)],[f827,f183])).
% 77.22/10.14 fof(f831,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~relation(relation_dom_restriction(X0,X1))|~in(ordered_pair(X2,X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X4)))|in(X2,relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X4))))|~relation(X0)|~in(ordered_pair(X2,X3),X1)|~in(ordered_pair(ordered_pair(X2,X3),X5),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f829,f825])).
% 77.22/10.14 fof(f832,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~in(ordered_pair(X0,X1),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X3,X4),X2)))|in(X0,relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X3,X4),X2))))|~relation(X3)|~in(ordered_pair(X0,X1),X4)|~in(ordered_pair(ordered_pair(X0,X1),X5),X3))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f831,f395])).
% 77.22/10.14 fof(f833,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(X2,X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X4)))|in(X2,relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X4))))|~relation(X0)|~in(ordered_pair(ordered_pair(X2,X3),X5),X1)|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X5),X6),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f829,f827])).
% 77.22/10.14 fof(f835,plain,(
% 77.22/10.14 $false|spl0_3),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f796,f404])).
% 77.22/10.14 fof(f836,plain,(
% 77.22/10.14 spl0_3),
% 77.22/10.14 inference(contradiction_clause,[status(thm)],[f835])).
% 77.22/10.14 fof(f837,plain,(
% 77.22/10.14 spl0_8 <=> subset(empty_set,empty_set)),
% 77.22/10.14 introduced(split_symbol_definition)).
% 77.22/10.14 fof(f844,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~relation(X0)|~in(relation_dom(relation_dom_restriction(X1,X2)),X3)|~in(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X4),X0)|~relation(X1)|~in(relation_dom(relation_dom_restriction(X0,X3)),X2)|~in(ordered_pair(relation_dom(relation_dom_restriction(X0,X3)),X5),X1))),
% 77.22/10.14 inference(resolution,[status(thm)],[f830,f827])).
% 77.22/10.14 fof(f845,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6]: (~relation(relation_dom_restriction(X0,X1))|~in(relation_dom(relation_dom_restriction(X2,X3)),X4)|~relation(X2)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X4)),X3)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X4)),X5),X2)|~relation(X0)|~in(relation_dom(relation_dom_restriction(X2,X3)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(X2,X3)),X6),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f844,f825])).
% 77.22/10.14 fof(f846,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6]: (~in(relation_dom(relation_dom_restriction(X0,X1)),X2)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X3,X4),X2)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X3,X4),X2)),X5),X0)|~relation(X3)|~in(relation_dom(relation_dom_restriction(X0,X1)),X4)|~in(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X6),X3))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f845,f395])).
% 77.22/10.14 fof(f847,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(relation_dom(relation_dom_restriction(X2,X3)),X4)|~relation(X2)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X4)),X3)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X4)),X5),X2)|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(X2,X3)),X6),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X2,X3)),X6),X7),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f844,f827])).
% 77.22/10.14 fof(f848,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~in(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)))|~relation(X4)|~in(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X5)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X6),X4)|~relation(X0)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3))),X7),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f832,f830])).
% 77.22/10.14 fof(f849,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))|~relation(X5)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X6)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X7),X5)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))))|~in(relation_dom(relation_dom_restriction(X0,X1)),X8)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X8)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X8)),X9),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f832,f844])).
% 77.22/10.14 fof(f850,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))|~relation(X5)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X6)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X7),X5)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))))|~in(ordered_pair(X0,X1),X8)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X8)))|in(X0,relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X8)))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f832,f829])).
% 77.22/10.14 fof(f851,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6]: (~in(ordered_pair(ordered_pair(X0,X1),X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)))|~relation(X4)|~in(ordered_pair(ordered_pair(X0,X1),X2),X5)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X6),X4)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3))))|in(X0,relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3))))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f832,f772])).
% 77.22/10.14 fof(f852,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~in(ordered_pair(X0,X1),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X3,X4),X2)))|~relation(X3)|~in(ordered_pair(X0,X1),X4)|~in(ordered_pair(ordered_pair(X0,X1),X5),X3)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X3,X4),X2))),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f832,f183])).
% 77.22/10.14 fof(f853,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))|~relation(X5)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X6)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X7),X5)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X8),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X8),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X8),X9),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f852,f832])).
% 77.22/10.14 fof(f855,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)|~relation(relation_dom_restriction(X0,X1))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X2)|~relation(X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X6),X4)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f846,f825])).
% 77.22/10.14 fof(f856,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X2)|~relation(X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X6),X4)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f855,f395])).
% 77.22/10.14 fof(f857,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3)),X4)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X3)|~relation(X5)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3)),X6)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3)),X7),X5)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X8),X9),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~relation(X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X8),X9),X1)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X8),X9),X10),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f846,f832])).
% 77.22/10.14 fof(f858,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3)|~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X2)|~relation(X4)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X6),X4)|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X8),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f846,f827])).
% 77.22/10.14 fof(f859,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X2,X3),X4))),X5),X6)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6)))|~relation(X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X2,X3),X4))),X5),X7),X1)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X2,X3),X4))),X5),X7),X8),X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X2,X3),X4)))|~relation(X2)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9),X3)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9),X10),X2))),
% 77.22/10.14 inference(resolution,[status(thm)],[f833,f852])).
% 77.22/10.14 fof(f860,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(relation_dom(relation_dom_restriction(X2,X3)),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5)))|~relation(X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X2,X3)),X4),X6),X1)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X2,X3)),X4),X6),X7),X0)|~relation(X2)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))),X3)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))),X8),X2))),
% 77.22/10.14 inference(resolution,[status(thm)],[f833,f830])).
% 77.22/10.14 fof(f861,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X2,X3),X4)),X5),X6),X7)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X7)))|~relation(X0)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X2,X3),X4)),X5),X6),X8),X1)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X2,X3),X4)),X5),X6),X8),X9),X0)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X7))),X10)),X4)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X7))))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X2,X3),X4)),X10)|~relation(X2)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X7))),X10)),X3)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X7))),X10)),X11),X2))),
% 77.22/10.14 inference(resolution,[status(thm)],[f833,f846])).
% 77.22/10.14 fof(f862,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X2,X3)),X4),X5),X6)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6)))|~relation(X0)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X2,X3)),X4),X5),X7),X1)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X2,X3)),X4),X5),X7),X8),X0)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))))|~in(relation_dom(relation_dom_restriction(X2,X3)),X9)|~relation(X2)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9)),X3)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9)),X10),X2))),
% 77.22/10.14 inference(resolution,[status(thm)],[f833,f844])).
% 77.22/10.14 fof(f863,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X5),X6)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6)))|~relation(X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X5),X7),X1)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X5),X7),X8),X0)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))))|~in(ordered_pair(X2,X3),X9)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9)))|in(X2,relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9)))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f833,f829])).
% 77.22/10.14 fof(f864,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(ordered_pair(X2,X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5)))|~relation(X0)|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X1)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X7),X0)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))))|in(X2,relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f833,f772])).
% 77.22/10.14 fof(f865,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(X2,X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X4)))|~relation(X0)|~in(ordered_pair(ordered_pair(X2,X3),X5),X1)|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X5),X6),X0)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X4))),X2))),
% 77.22/10.14 inference(resolution,[status(thm)],[f833,f183])).
% 77.22/10.14 fof(f871,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))|~relation(X5)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X6)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X7),X5)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))))|~relation(X0)|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))),X8),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f851,f830])).
% 77.22/10.14 fof(f874,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))|~relation(X6)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X7)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X8),X6)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))))|~in(ordered_pair(X0,X1),X9)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))),X9)))|in(X0,relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))),X9)))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f851,f829])).
% 77.22/10.14 fof(f875,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))|~relation(X5)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X6)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X7),X5)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))))|in(X0,relation_dom(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f851,f772])).
% 77.22/10.14 fof(f876,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6]: (~in(ordered_pair(ordered_pair(X0,X1),X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)))|~relation(X4)|~in(ordered_pair(ordered_pair(X0,X1),X2),X5)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X6),X4)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3))))|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)))),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f851,f183])).
% 77.22/10.14 fof(f886,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X2,X3)),X4)),X5)|~relation(relation_dom(relation_dom_restriction(X2,X3)))|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5)),X4)|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X2,X3)),X4)),X6),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X2,X3)),X4)),X6),X7),X0)|~relation(X2)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5)),X8),X3)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5)),X8),X9),X2))),
% 77.22/10.14 inference(resolution,[status(thm)],[f847,f827])).
% 77.22/10.14 fof(f887,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))|~relation(X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X6)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X7),X5)|~relation(relation_dom_restriction(X0,X1))|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X2)|~relation(X0)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X8),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f848,f825])).
% 77.22/10.14 fof(f888,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))|~relation(X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X6)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X7),X5)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X2)|~relation(X0)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X8),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f887,f395])).
% 77.22/10.14 fof(f892,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))|~relation(X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3),X6)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3),X7),X5)|~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X2)|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X8),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X8),X9),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f848,f827])).
% 77.22/10.14 fof(f899,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X3)|~relation(X5)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X6)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X7),X5)|~relation(relation_dom_restriction(X0,X1))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X2)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X8),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f856,f825])).
% 77.22/10.14 fof(f900,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X3)|~relation(X5)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X6)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X7),X5)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X2)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X8),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f899,f395])).
% 77.22/10.14 fof(f904,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)),X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X3)|~relation(X5)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)),X6)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)),X7),X5)|~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X2)|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X8),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X8),X9),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f856,f827])).
% 77.22/10.14 fof(f905,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~in(ordered_pair(ordered_pair(X3,X4),X5),X6)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X6)))|~relation(relation_dom_restriction(X0,X1))|~in(ordered_pair(ordered_pair(ordered_pair(X3,X4),X5),X7),X2)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X6))))|in(X3,relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X6)))))|~relation(X0)|~in(ordered_pair(ordered_pair(ordered_pair(X3,X4),X5),X7),X1)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X3,X4),X5),X7),X8),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f864,f825])).
% 77.22/10.14 fof(f906,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~in(ordered_pair(ordered_pair(X3,X4),X5),X6)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X6)))|~in(ordered_pair(ordered_pair(ordered_pair(X3,X4),X5),X7),X2)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X6))))|in(X3,relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X6)))))|~relation(X0)|~in(ordered_pair(ordered_pair(ordered_pair(X3,X4),X5),X7),X1)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X3,X4),X5),X7),X8),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f905,f395])).
% 77.22/10.14 fof(f910,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)))|~in(ordered_pair(ordered_pair(X3,X4),X5),X6)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X6)))|~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(ordered_pair(ordered_pair(X3,X4),X5),X7),X2)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X6))))|in(X3,relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X6)))))|~relation(X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X3,X4),X5),X7),X8),X1)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X3,X4),X5),X7),X8),X9),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f864,f827])).
% 77.22/10.14 fof(f911,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)))|~relation(relation_dom_restriction(X5,X6))|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X7)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)))))|in(X0,relation_dom(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4))))))|~relation(X5)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X6)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X8),X5))),
% 77.22/10.14 inference(resolution,[status(thm)],[f875,f825])).
% 77.22/10.14 fof(f912,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)))|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X7)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)))))|in(X0,relation_dom(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4))))))|~relation(X5)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X6)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X8),X5))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f911,f395])).
% 77.22/10.14 fof(f917,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X3)|~relation(X5)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)),X6)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)),X7),X5)|~relation(relation_dom_restriction(X0,X1))|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X8),X2)|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X8),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X8),X9),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f858,f825])).
% 77.22/10.14 fof(f918,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X3)|~relation(X5)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)),X6)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)),X7),X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X8),X2)|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X8),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)),X8),X9),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f917,f395])).
% 77.22/10.14 fof(f923,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)),X3)|~relation(relation_dom_restriction(X5,X6))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X7)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)),X2)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)),X8),X0)|~relation(X5)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X6)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X9),X5))),
% 77.22/10.14 inference(resolution,[status(thm)],[f900,f825])).
% 77.22/10.14 fof(f924,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)),X3)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X7)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)),X2)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)),X8),X0)|~relation(X5)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X6)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X9),X5))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f923,f395])).
% 77.22/10.14 fof(f929,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X2,X3),X4)),X5),X6)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6)))|~relation(X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X2,X3),X4)),X5),X7),X1)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X2,X3),X4)),X5),X7),X8),X0)|~relation(relation_dom_restriction(X2,X3))|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X4)|~relation(X2)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X3)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9),X2))),
% 77.22/10.14 inference(resolution,[status(thm)],[f860,f825])).
% 77.22/10.14 fof(f930,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X2,X3),X4)),X5),X6)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6)))|~relation(X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X2,X3),X4)),X5),X7),X1)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X2,X3),X4)),X5),X7),X8),X0)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X4)|~relation(X2)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X3)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9),X2))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f929,f395])).
% 77.22/10.14 fof(f935,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)))|~relation(relation_dom_restriction(X5,X6))|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X7)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4))),X2)|~relation(X0)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4))),X8),X0)|~relation(X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X6)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X9),X5))),
% 77.22/10.14 inference(resolution,[status(thm)],[f888,f825])).
% 77.22/10.14 fof(f936,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)))|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X7)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4))),X2)|~relation(X0)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4))),X8),X0)|~relation(X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X6)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X9),X5))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f935,f395])).
% 77.22/10.14 fof(f941,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))|~relation(X6)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4),X7)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4),X8),X6)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5))))|~relation(relation_dom_restriction(X0,X1))|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))),X2)|~relation(X0)|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))),X9),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f871,f825])).
% 77.22/10.14 fof(f942,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))|~relation(X6)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4),X7)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4),X8),X6)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5))))|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))),X2)|~relation(X0)|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))),X9),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f941,f395])).
% 77.22/10.14 fof(f966,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))|~relation(X5)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X6)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X7),X5)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))))|~in(ordered_pair(X0,X1),X8)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X8)))|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))),X8))),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f850,f183])).
% 77.22/10.14 fof(f992,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~in(ordered_pair(ordered_pair(X3,X4),X5),X6)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X6)))|~in(ordered_pair(ordered_pair(ordered_pair(X3,X4),X5),X7),X2)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X6))))|~relation(X0)|~in(ordered_pair(ordered_pair(ordered_pair(X3,X4),X5),X7),X1)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X3,X4),X5),X7),X8),X0)|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X6)))),X3))),
% 77.22/10.14 inference(resolution,[status(thm)],[f906,f183])).
% 77.22/10.14 fof(f1022,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X5),X6)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6)))|~relation(X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X5),X7),X1)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X5),X7),X8),X0)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))))|~in(ordered_pair(X2,X3),X9)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9)))|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9))),X2))),
% 77.22/10.14 inference(resolution,[status(thm)],[f863,f183])).
% 77.22/10.14 fof(f1082,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)))|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X7)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4)))))|~relation(X5)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X6)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X8),X5)|~in(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X5,X6),X7),X4))))),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f912,f183])).
% 77.22/10.14 fof(f1203,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))|~relation(X6)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X7)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X8),X6)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))))|~in(ordered_pair(X0,X1),X9)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))),X9)))|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X6,X7),X5)))),X9))),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f874,f183])).
% 77.22/10.14 fof(f1275,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))))),X3),X4),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~relation(X0)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))))),X3),X4),X1)|~in(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))))),X3),X4),X5),X0)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f756,f876])).
% 77.22/10.14 fof(f1279,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)))),X3),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)))|~relation(X0)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)))),X3),X4),X1)|~in(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)))),X3),X4),X5),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f756,f865])).
% 77.22/10.14 fof(f1280,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))),X3),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~relation(X0)|~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))),X3),X1)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))),X3),X4),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f756,f852])).
% 77.22/10.14 fof(f1281,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(X0)|~in(singleton(relation_dom(relation_dom_restriction(X0,X1))),X1)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(X0,X1))),X2),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f756,f830])).
% 77.22/10.14 fof(f1294,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6]: (~in(relation_dom(relation_dom_restriction(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)),X4),X5)),X2)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X5)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)),X4),X5)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)),X4),X5)),X6),X0)|~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X4))),
% 77.22/10.14 inference(resolution,[status(thm)],[f756,f856])).
% 77.22/10.14 fof(f1295,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~in(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)),X4)),X2)|~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X4)|~relation(X0)|~in(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)),X4)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)),X4)),X5),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f756,f846])).
% 77.22/10.14 fof(f1296,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2)))|~in(relation_dom(relation_dom_restriction(X0,X1)),X3)|~relation(X0)|~in(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3)),X4),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f756,f844])).
% 77.22/10.14 fof(f1308,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(singleton(ordered_pair(ordered_pair(X0,X1),X2)))|~in(ordered_pair(X0,X1),X3)|~relation(relation_dom(relation_dom_restriction(singleton(ordered_pair(ordered_pair(X0,X1),X2)),X3)))|in(X0,relation_dom(relation_dom(relation_dom_restriction(singleton(ordered_pair(ordered_pair(X0,X1),X2)),X3)))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f756,f829])).
% 77.22/10.14 fof(f1309,plain,(
% 77.22/10.14 ![X0,X1]: (~relation(singleton(ordered_pair(X0,X1)))|in(X0,relation_dom(singleton(ordered_pair(X0,X1)))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f756,f772])).
% 77.22/10.14 fof(f1313,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~in(ordered_pair(X0,X1),identity_relation(X2))|in(X0,X2))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f742,f388])).
% 77.22/10.14 fof(f1332,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2)))|~relation(X0)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2))),X1)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2))),X3),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1309,f830])).
% 77.22/10.14 fof(f1347,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~relation(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3))))|~in(relation_dom(relation_dom_restriction(X0,X1)),X4)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3))),X4)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3))),X4)),X5),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1309,f844])).
% 77.22/10.14 fof(f1360,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(singleton(ordered_pair(ordered_pair(X0,X1),X2)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(X0,X1),X2))))|in(X0,relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(X0,X1),X2))))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1309,f772])).
% 77.22/10.14 fof(f1361,plain,(
% 77.22/10.14 ![X0,X1]: (~relation(singleton(ordered_pair(X0,X1)))|~in(relation_dom(singleton(ordered_pair(X0,X1))),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1309,f183])).
% 77.22/10.14 fof(f1369,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6]: (~relation(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))),X3)))|~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))),X3))),X4),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)))|~relation(X0)|~in(ordered_pair(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))),X3))),X4),X5),X1)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))),X3))),X4),X5),X6),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1361,f833])).
% 77.22/10.14 fof(f1370,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~relation(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3)))|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3))),X4),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~relation(X0)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3))),X4),X1)|~in(ordered_pair(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3))),X4),X5),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1361,f832])).
% 77.22/10.14 fof(f1372,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(relation_dom_restriction(X0,X1))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X2)|~relation(X0)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X1)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1281,f825])).
% 77.22/10.14 fof(f1373,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X2)|~relation(X0)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X1)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f1372,f395])).
% 77.22/10.14 fof(f1381,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))),X3))),X3)|~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))),X3))),X4),X5),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)))|~relation(X0)|~in(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))),X3))),X4),X5),X6),X1)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))),X3))),X4),X5),X6),X7),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1281,f833])).
% 77.22/10.14 fof(f1382,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6]: (~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3))),X3)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3))),X4),X5),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~relation(X0)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3))),X4),X5),X1)|~in(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3))),X4),X5),X6),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1281,f832])).
% 77.22/10.14 fof(f1383,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))),X2)|~relation(X0)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))),X3),X1)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))),X3),X4),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1281,f827])).
% 77.22/10.14 fof(f1392,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (~relation(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3))))|~relation(X0)|~in(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)))),X1)|~in(ordered_pair(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)))),X4),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1360,f830])).
% 77.22/10.14 fof(f1407,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5,X6]: (~relation(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4))))|~relation(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4)))))|~in(relation_dom(relation_dom_restriction(X0,X1)),X5)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4)))),X5)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4)))),X5)),X6),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1360,f844])).
% 77.22/10.14 fof(f1420,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(singleton(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3))))|~relation(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3)))))|in(X0,relation_dom(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3)))))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1360,f772])).
% 77.22/10.14 fof(f1432,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3))),X3)|~relation(relation_dom_restriction(X0,X1))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3))),X2)|~relation(X0)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3))),X1)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3))),X4),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1373,f825])).
% 77.22/10.14 fof(f1433,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3))),X3)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3))),X2)|~relation(X0)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3))),X1)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3))),X4),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f1432,f395])).
% 77.22/10.14 fof(f1443,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2),X3))),X3)|~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2),X3))),X2)|~relation(X0)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2),X3))),X4),X1)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2),X3))),X4),X5),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1373,f827])).
% 77.22/10.14 fof(f1444,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)))|~relation(relation_dom_restriction(X0,X1))|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3))),X2)|~relation(X0)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3))),X1)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3))),X4),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1332,f825])).
% 77.22/10.14 fof(f1445,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)))|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3))),X2)|~relation(X0)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3))),X1)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3))),X4),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f1444,f395])).
% 77.22/10.14 fof(f1455,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3)))|~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3))),X2)|~relation(X0)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3))),X4),X1)|~in(ordered_pair(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3))),X4),X5),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1332,f827])).
% 77.22/10.14 fof(f1464,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~relation(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)))|~in(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X4)|~relation(relation_dom(relation_dom_restriction(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)),X4)))|~relation(X0)|~in(relation_dom(relation_dom(relation_dom_restriction(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)),X4))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)),X4))),X5),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1308,f830])).
% 77.22/10.14 fof(f1516,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3))),X3)|~relation(relation_dom_restriction(X0,X1))|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3))),X4),X2)|~relation(X0)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3))),X4),X1)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3))),X4),X5),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1383,f825])).
% 77.22/10.14 fof(f1517,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3))),X3)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3))),X4),X2)|~relation(X0)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3))),X4),X1)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3))),X4),X5),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f1516,f395])).
% 77.22/10.14 fof(f1536,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~relation(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4))))|~relation(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4)))))|~relation(X0)|~in(relation_dom(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4))))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4))))),X5),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1420,f830])).
% 77.22/10.14 fof(f1614,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~relation(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4))))|~relation(relation_dom_restriction(X0,X1))|~in(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4)))),X2)|~relation(X0)|~in(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4)))),X1)|~in(ordered_pair(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4)))),X5),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1392,f825])).
% 77.22/10.14 fof(f1615,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~relation(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4))))|~in(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4)))),X2)|~relation(X0)|~in(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4)))),X1)|~in(ordered_pair(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4)))),X5),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f1614,f395])).
% 77.22/10.14 fof(f1626,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)))),X4),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)))|~relation(relation_dom_restriction(X0,X1))|~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)))),X4),X2)|~relation(X0)|~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)))),X4),X1)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)))),X4),X5),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1280,f825])).
% 77.22/10.14 fof(f1627,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)))),X4),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)))|~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)))),X4),X2)|~relation(X0)|~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)))),X4),X1)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)))),X4),X5),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f1626,f395])).
% 77.22/10.14 fof(f1638,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3),X4))),X4)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3),X4))),X3)|~relation(relation_dom_restriction(X0,X1))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3),X4))),X2)|~relation(X0)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3),X4))),X1)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3),X4))),X5),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1433,f825])).
% 77.22/10.14 fof(f1639,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3),X4))),X4)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3),X4))),X3)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3),X4))),X2)|~relation(X0)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3),X4))),X1)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3),X4))),X5),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f1638,f395])).
% 77.22/10.14 fof(f1650,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4)))|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4))),X3)|~relation(relation_dom_restriction(X0,X1))|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4))),X2)|~relation(X0)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4))),X1)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4))),X5),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f1445,f825])).
% 77.22/10.14 fof(f1651,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4,X5]: (~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4)))|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4))),X3)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4))),X2)|~relation(X0)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4))),X1)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4))),X5),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f1650,f395])).
% 77.22/10.14 fof(f2080,plain,(
% 77.22/10.14 ![X0,X1]: (~relation(sk0_47(ordered_pair(X0,X1)))|in(X0,relation_dom(sk0_47(ordered_pair(X0,X1)))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f527,f772])).
% 77.22/10.14 fof(f2081,plain,(
% 77.22/10.14 ![X0]: (~in(sk0_47(X0),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f527,f183])).
% 77.22/10.14 fof(f2086,plain,(
% 77.22/10.14 ![X0]: (sk0_45(X0)=empty_set)),
% 77.22/10.14 inference(resolution,[status(thm)],[f674,f495])).
% 77.22/10.14 fof(f2094,plain,(
% 77.22/10.14 spl0_9 <=> relation(identity_relation(empty_set))),
% 77.22/10.14 introduced(split_symbol_definition)).
% 77.22/10.14 fof(f2096,plain,(
% 77.22/10.14 ~relation(identity_relation(empty_set))|spl0_9),
% 77.22/10.14 inference(component_clause,[status(thm)],[f2094])).
% 77.22/10.14 fof(f2097,plain,(
% 77.22/10.14 spl0_10 <=> identity_relation(empty_set)=empty_set),
% 77.22/10.14 introduced(split_symbol_definition)).
% 77.22/10.14 fof(f2098,plain,(
% 77.22/10.14 identity_relation(empty_set)=empty_set|~spl0_10),
% 77.22/10.14 inference(component_clause,[status(thm)],[f2097])).
% 77.22/10.14 fof(f2102,plain,(
% 77.22/10.14 ![X0]: (~relation(identity_relation(X0))|~subset(identity_relation(X0),empty_set)|subset(X0,empty_set)|~spl0_7)),
% 77.22/10.14 inference(paramodulation,[status(thm)],[f678,f820])).
% 77.22/10.14 fof(f2103,plain,(
% 77.22/10.14 ![X0]: (~subset(identity_relation(X0),empty_set)|subset(X0,empty_set)|~spl0_7)),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f2102,f388])).
% 77.22/10.14 fof(f2104,plain,(
% 77.22/10.14 ![X0,X1]: (~relation(X0)|~relation(identity_relation(X1))|~subset(X0,identity_relation(X1))|subset(relation_dom(X0),X1))),
% 77.22/10.14 inference(paramodulation,[status(thm)],[f678,f548])).
% 77.22/10.14 fof(f2105,plain,(
% 77.22/10.14 ![X0,X1]: (~relation(X0)|~subset(X0,identity_relation(X1))|subset(relation_dom(X0),X1))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f2104,f388])).
% 77.22/10.14 fof(f2106,plain,(
% 77.22/10.14 ![X0,X1]: (~relation(identity_relation(X0))|~relation(X1)|~subset(identity_relation(X0),X1)|subset(X0,relation_dom(X1)))),
% 77.22/10.14 inference(paramodulation,[status(thm)],[f678,f548])).
% 77.22/10.14 fof(f2107,plain,(
% 77.22/10.14 ![X0,X1]: (~relation(X0)|~subset(identity_relation(X1),X0)|subset(X1,relation_dom(X0)))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f2106,f388])).
% 77.22/10.14 fof(f2111,plain,(
% 77.22/10.14 ![X0]: (empty(identity_relation(X0))|~relation(identity_relation(X0))|~empty(X0))),
% 77.22/10.14 inference(paramodulation,[status(thm)],[f678,f421])).
% 77.22/10.14 fof(f2112,plain,(
% 77.22/10.14 ![X0]: (empty(identity_relation(X0))|~empty(X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f2111,f388])).
% 77.22/10.14 fof(f2113,plain,(
% 77.22/10.14 ![X0]: (~empty(identity_relation(X0))|relation(X0))),
% 77.22/10.14 inference(paramodulation,[status(thm)],[f678,f426])).
% 77.22/10.14 fof(f2115,plain,(
% 77.22/10.14 $false|spl0_9),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f2096,f388])).
% 77.22/10.14 fof(f2116,plain,(
% 77.22/10.14 spl0_9),
% 77.22/10.14 inference(contradiction_clause,[status(thm)],[f2115])).
% 77.22/10.14 fof(f2125,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(X0)|~in(sk0_56(relation_dom(relation_dom_restriction(X0,X1))),X1)|~in(ordered_pair(sk0_56(relation_dom(relation_dom_restriction(X0,X1))),X2),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f716,f830])).
% 77.22/10.14 fof(f2153,plain,(
% 77.22/10.14 ![X0,X1]: (~relation(sk0_56(ordered_pair(X0,X1)))|in(X0,relation_dom(sk0_56(ordered_pair(X0,X1)))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f716,f772])).
% 77.22/10.14 fof(f2164,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(X0)|~in(sk0_47(relation_dom(relation_dom_restriction(X0,X1))),X1)|~in(ordered_pair(sk0_47(relation_dom(relation_dom_restriction(X0,X1))),X2),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f2081,f827])).
% 77.22/10.14 fof(f2169,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~in(ordered_pair(X0,X1),identity_relation(X2))|X0=X1)),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f743,f388])).
% 77.22/10.14 fof(f2170,plain,(
% 77.22/10.14 ![X0,X1]: (in(ordered_pair(X0,X0),identity_relation(X1))|~in(X0,X1))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f744,f388])).
% 77.22/10.14 fof(f2231,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (~in(relation_dom(relation_dom_restriction(X0,X1)),X2)|~relation(identity_relation(X2))|~in(relation_dom(relation_dom_restriction(X0,X1)),X3)|~relation(X0)|~in(relation_dom(relation_dom_restriction(identity_relation(X2),X3)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(identity_relation(X2),X3)),X4),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f2170,f844])).
% 77.22/10.14 fof(f2232,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (~in(relation_dom(relation_dom_restriction(X0,X1)),X2)|~in(relation_dom(relation_dom_restriction(X0,X1)),X3)|~relation(X0)|~in(relation_dom(relation_dom_restriction(identity_relation(X2),X3)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(identity_relation(X2),X3)),X4),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f2231,f388])).
% 77.22/10.14 fof(f2283,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(relation_dom_restriction(X0,X1))|relation_dom_restriction(X0,X1)=identity_relation(X2)|~in(sk0_0(X2,relation_dom_restriction(X0,X1)),X2)|~sk0_0(X2,relation_dom_restriction(X0,X1))=sk0_1(X2,relation_dom_restriction(X0,X1))|~relation(X0)|~in(sk0_0(X2,relation_dom_restriction(X0,X1)),X1)|~in(ordered_pair(sk0_0(X2,relation_dom_restriction(X0,X1)),sk0_1(X2,relation_dom_restriction(X0,X1))),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f198,f825])).
% 77.22/10.14 fof(f2284,plain,(
% 77.22/10.14 ![X0,X1,X2]: (relation_dom_restriction(X0,X1)=identity_relation(X2)|~in(sk0_0(X2,relation_dom_restriction(X0,X1)),X2)|~sk0_0(X2,relation_dom_restriction(X0,X1))=sk0_1(X2,relation_dom_restriction(X0,X1))|~relation(X0)|~in(sk0_0(X2,relation_dom_restriction(X0,X1)),X1)|~in(ordered_pair(sk0_0(X2,relation_dom_restriction(X0,X1)),sk0_1(X2,relation_dom_restriction(X0,X1))),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f2283,f395])).
% 77.22/10.14 fof(f2294,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|relation_dom(relation_dom_restriction(X0,X1))=identity_relation(X2)|~in(sk0_0(X2,relation_dom(relation_dom_restriction(X0,X1))),X2)|~sk0_0(X2,relation_dom(relation_dom_restriction(X0,X1)))=sk0_1(X2,relation_dom(relation_dom_restriction(X0,X1)))|~relation(X0)|~in(ordered_pair(sk0_0(X2,relation_dom(relation_dom_restriction(X0,X1))),sk0_1(X2,relation_dom(relation_dom_restriction(X0,X1)))),X1)|~in(ordered_pair(ordered_pair(sk0_0(X2,relation_dom(relation_dom_restriction(X0,X1))),sk0_1(X2,relation_dom(relation_dom_restriction(X0,X1)))),X3),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f198,f827])).
% 77.22/10.14 fof(f2325,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(sk0_47(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2)))|~relation(X0)|~in(relation_dom(sk0_47(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2))),X1)|~in(ordered_pair(relation_dom(sk0_47(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2))),X3),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f2080,f830])).
% 77.22/10.14 fof(f2353,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(sk0_47(ordered_pair(ordered_pair(X0,X1),X2)))|~relation(relation_dom(sk0_47(ordered_pair(ordered_pair(X0,X1),X2))))|in(X0,relation_dom(relation_dom(sk0_47(ordered_pair(ordered_pair(X0,X1),X2))))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f2080,f772])).
% 77.22/10.14 fof(f2369,plain,(
% 77.22/10.14 ![X0,X1]: (~relation(identity_relation(X0))|~subset(identity_relation(X0),identity_relation(X1))|subset(X0,X1))),
% 77.22/10.14 inference(paramodulation,[status(thm)],[f678,f2105])).
% 77.22/10.14 fof(f2370,plain,(
% 77.22/10.14 ![X0,X1]: (~subset(identity_relation(X0),identity_relation(X1))|subset(X0,X1))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f2369,f388])).
% 77.22/10.14 fof(f2371,plain,(
% 77.22/10.14 spl0_11 <=> ~subset(empty_set,identity_relation(X0))|subset(empty_set,X0)),
% 77.22/10.14 introduced(split_symbol_definition)).
% 77.22/10.14 fof(f2374,plain,(
% 77.22/10.14 ![X0]: (~relation(empty_set)|~subset(empty_set,identity_relation(X0))|subset(empty_set,X0))),
% 77.22/10.14 inference(paramodulation,[status(thm)],[f654,f2105])).
% 77.22/10.14 fof(f2375,plain,(
% 77.22/10.14 ~spl0_4|spl0_11),
% 77.22/10.14 inference(split_clause,[status(thm)],[f2374,f799,f2371])).
% 77.22/10.14 fof(f2417,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(sk0_56(ordered_pair(ordered_pair(X0,X1),X2)))|~relation(relation_dom(sk0_56(ordered_pair(ordered_pair(X0,X1),X2))))|in(X0,relation_dom(relation_dom(sk0_56(ordered_pair(ordered_pair(X0,X1),X2))))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f2153,f772])).
% 77.22/10.14 fof(f2419,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (relation_dom_restriction(relation_dom_restriction(X0,X1),X2)=identity_relation(X3)|~in(sk0_0(X3,relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)|~sk0_0(X3,relation_dom_restriction(relation_dom_restriction(X0,X1),X2))=sk0_1(X3,relation_dom_restriction(relation_dom_restriction(X0,X1),X2))|~relation(relation_dom_restriction(X0,X1))|~in(sk0_0(X3,relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X2)|~relation(X0)|~in(sk0_0(X3,relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X1)|~in(ordered_pair(sk0_0(X3,relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),sk0_1(X3,relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f2284,f825])).
% 77.22/10.14 fof(f2420,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (relation_dom_restriction(relation_dom_restriction(X0,X1),X2)=identity_relation(X3)|~in(sk0_0(X3,relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)|~sk0_0(X3,relation_dom_restriction(relation_dom_restriction(X0,X1),X2))=sk0_1(X3,relation_dom_restriction(relation_dom_restriction(X0,X1),X2))|~in(sk0_0(X3,relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X2)|~relation(X0)|~in(sk0_0(X3,relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X1)|~in(ordered_pair(sk0_0(X3,relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),sk0_1(X3,relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f2419,f395])).
% 77.22/10.14 fof(f2430,plain,(
% 77.22/10.14 ![X0,X1,X2,X3,X4]: (relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)=identity_relation(X3)|~in(sk0_0(X3,relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3)|~sk0_0(X3,relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))=sk0_1(X3,relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))|~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(sk0_0(X3,relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X2)|~relation(X0)|~in(ordered_pair(sk0_0(X3,relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),sk0_1(X3,relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))),X1)|~in(ordered_pair(ordered_pair(sk0_0(X3,relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),sk0_1(X3,relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2))),X4),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f2284,f827])).
% 77.22/10.14 fof(f2433,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(relation_dom_restriction(X0,X1))|~in(sk0_47(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X2)|~relation(X0)|~in(sk0_47(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X1)|~in(ordered_pair(sk0_47(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f2164,f825])).
% 77.22/10.14 fof(f2434,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~in(sk0_47(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X2)|~relation(X0)|~in(sk0_47(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X1)|~in(ordered_pair(sk0_47(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f2433,f395])).
% 77.22/10.14 fof(f2491,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~relation(relation_dom_restriction(X0,X1))|~in(sk0_56(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X2)|~relation(X0)|~in(sk0_56(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X1)|~in(ordered_pair(sk0_56(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f2125,f825])).
% 77.22/10.14 fof(f2492,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~in(sk0_56(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X2)|~relation(X0)|~in(sk0_56(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X1)|~in(ordered_pair(sk0_56(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f2491,f395])).
% 77.22/10.14 fof(f2729,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~in(relation_dom(relation_dom_restriction(identity_relation(X0),X1)),X2)|~in(relation_dom(relation_dom_restriction(identity_relation(X0),X1)),X3)|~relation(identity_relation(X0))|~in(relation_dom(relation_dom_restriction(identity_relation(X2),X3)),X1)|~in(relation_dom(relation_dom_restriction(identity_relation(X2),X3)),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f2232,f2170])).
% 77.22/10.14 fof(f2730,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~in(relation_dom(relation_dom_restriction(identity_relation(X0),X1)),X2)|~in(relation_dom(relation_dom_restriction(identity_relation(X0),X1)),X3)|~in(relation_dom(relation_dom_restriction(identity_relation(X2),X3)),X1)|~in(relation_dom(relation_dom_restriction(identity_relation(X2),X3)),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f2729,f388])).
% 77.22/10.14 fof(f2849,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~in(relation_dom(relation_dom_restriction(identity_relation(relation_dom(relation_dom_restriction(X0,X1))),relation_dom(relation_dom_restriction(X0,X1)))),relation_dom(relation_dom_restriction(X0,X1)))|~relation(X0)|~in(relation_dom(relation_dom_restriction(identity_relation(relation_dom(relation_dom_restriction(X0,X1))),relation_dom(relation_dom_restriction(X0,X1)))),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(identity_relation(relation_dom(relation_dom_restriction(X0,X1))),relation_dom(relation_dom_restriction(X0,X1)))),X2),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f2730,f827])).
% 77.22/10.14 fof(f2850,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(X0)|~in(relation_dom(relation_dom_restriction(identity_relation(relation_dom(relation_dom_restriction(X0,X1))),relation_dom(relation_dom_restriction(X0,X1)))),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(identity_relation(relation_dom(relation_dom_restriction(X0,X1))),relation_dom(relation_dom_restriction(X0,X1)))),X2),X0))),
% 77.22/10.14 inference(forward_subsumption_resolution,[status(thm)],[f2849,f827])).
% 77.22/10.14 fof(f3277,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(unordered_pair(ordered_pair(X0,X1),X2))|in(X0,relation_dom(unordered_pair(ordered_pair(X0,X1),X2))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f761,f772])).
% 77.22/10.14 fof(f3278,plain,(
% 77.22/10.14 ![X0,X1]: (~in(unordered_pair(X0,X1),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f761,f183])).
% 77.22/10.14 fof(f3324,plain,(
% 77.22/10.14 ![X0,X1,X2]: (~relation(unordered_pair(X0,ordered_pair(X1,X2)))|in(X1,relation_dom(unordered_pair(X0,ordered_pair(X1,X2)))))),
% 77.22/10.14 inference(resolution,[status(thm)],[f762,f772])).
% 77.22/10.14 fof(f3325,plain,(
% 77.22/10.14 ![X0,X1]: (~in(unordered_pair(X0,X1),X1))),
% 77.22/10.14 inference(resolution,[status(thm)],[f762,f183])).
% 77.22/10.14 fof(f3343,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~empty(relation_dom_restriction(X0,X1))|~relation(X0)|~in(X2,X1)|~in(ordered_pair(X2,X3),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f688,f825])).
% 77.22/10.14 fof(f3373,plain,(
% 77.22/10.14 ![X0,X1,X2,X3]: (~empty(relation_dom(relation_dom_restriction(X0,X1)))|~relation(X0)|~in(X2,X1)|~in(ordered_pair(X2,X3),X0))),
% 77.22/10.14 inference(resolution,[status(thm)],[f688,f827])).
% 77.22/10.15 fof(f3377,plain,(
% 77.22/10.15 ![X0,X1]: (subset(X0,set_union2(X1,X0)))),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f189,f689])).
% 77.22/10.15 fof(f3384,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(relation_dom_restriction(X0,X1))|relation_dom_restriction(X0,X1)=identity_relation(X2)|in(sk0_0(X2,relation_dom_restriction(X0,X1)),X2)|~relation(X0)|in(ordered_pair(sk0_0(X2,relation_dom_restriction(X0,X1)),sk0_1(X2,relation_dom_restriction(X0,X1))),X0))),
% 77.22/10.15 inference(resolution,[status(thm)],[f199,f824])).
% 77.22/10.15 fof(f3385,plain,(
% 77.22/10.15 ![X0,X1,X2]: (relation_dom_restriction(X0,X1)=identity_relation(X2)|in(sk0_0(X2,relation_dom_restriction(X0,X1)),X2)|~relation(X0)|in(ordered_pair(sk0_0(X2,relation_dom_restriction(X0,X1)),sk0_1(X2,relation_dom_restriction(X0,X1))),X0))),
% 77.22/10.15 inference(forward_subsumption_resolution,[status(thm)],[f3384,f395])).
% 77.22/10.15 fof(f3386,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(relation_dom_restriction(X0,X1))|relation_dom_restriction(X0,X1)=identity_relation(X2)|in(sk0_0(X2,relation_dom_restriction(X0,X1)),X2)|~relation(X0)|in(sk0_0(X2,relation_dom_restriction(X0,X1)),X1))),
% 77.22/10.15 inference(resolution,[status(thm)],[f199,f804])).
% 77.22/10.15 fof(f3387,plain,(
% 77.22/10.15 ![X0,X1,X2]: (relation_dom_restriction(X0,X1)=identity_relation(X2)|in(sk0_0(X2,relation_dom_restriction(X0,X1)),X2)|~relation(X0)|in(sk0_0(X2,relation_dom_restriction(X0,X1)),X1))),
% 77.22/10.15 inference(forward_subsumption_resolution,[status(thm)],[f3386,f395])).
% 77.22/10.15 fof(f3388,plain,(
% 77.22/10.15 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|in(sk0_0(X1,X0),X1)|~relation(X0)|in(sk0_0(X1,X0),relation_dom(X0)))),
% 77.22/10.15 inference(resolution,[status(thm)],[f199,f772])).
% 77.22/10.15 fof(f3389,plain,(
% 77.22/10.15 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|in(sk0_0(X1,X0),X1)|in(sk0_0(X1,X0),relation_dom(X0)))),
% 77.22/10.15 inference(duplicate_literals_removal,[status(esa)],[f3388])).
% 77.22/10.15 fof(f3390,plain,(
% 77.22/10.15 spl0_12 <=> empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3391,plain,(
% 77.22/10.15 ![X0]: (empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0)|~spl0_12)),
% 77.22/10.15 inference(component_clause,[status(thm)],[f3390])).
% 77.22/10.15 fof(f3393,plain,(
% 77.22/10.15 ![X0]: (~relation(empty_set)|empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0))),
% 77.22/10.15 inference(resolution,[status(thm)],[f199,f757])).
% 77.22/10.15 fof(f3394,plain,(
% 77.22/10.15 ~spl0_4|spl0_12),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3393,f799,f3390])).
% 77.22/10.15 fof(f3397,plain,(
% 77.22/10.15 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|in(sk0_0(X1,X0),X1)|~in(X0,ordered_pair(sk0_0(X1,X0),sk0_1(X1,X0))))),
% 77.22/10.15 inference(resolution,[status(thm)],[f199,f183])).
% 77.22/10.15 fof(f3403,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(relation_dom_restriction(X0,X1))|relation_dom_restriction(X0,X1)=identity_relation(X2)|sk0_0(X2,relation_dom_restriction(X0,X1))=sk0_1(X2,relation_dom_restriction(X0,X1))|~relation(X0)|in(ordered_pair(sk0_0(X2,relation_dom_restriction(X0,X1)),sk0_1(X2,relation_dom_restriction(X0,X1))),X0))),
% 77.22/10.15 inference(resolution,[status(thm)],[f200,f824])).
% 77.22/10.15 fof(f3404,plain,(
% 77.22/10.15 ![X0,X1,X2]: (relation_dom_restriction(X0,X1)=identity_relation(X2)|sk0_0(X2,relation_dom_restriction(X0,X1))=sk0_1(X2,relation_dom_restriction(X0,X1))|~relation(X0)|in(ordered_pair(sk0_0(X2,relation_dom_restriction(X0,X1)),sk0_1(X2,relation_dom_restriction(X0,X1))),X0))),
% 77.22/10.15 inference(forward_subsumption_resolution,[status(thm)],[f3403,f395])).
% 77.22/10.15 fof(f3405,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(relation_dom_restriction(X0,X1))|relation_dom_restriction(X0,X1)=identity_relation(X2)|sk0_0(X2,relation_dom_restriction(X0,X1))=sk0_1(X2,relation_dom_restriction(X0,X1))|~relation(X0)|in(sk0_0(X2,relation_dom_restriction(X0,X1)),X1))),
% 77.22/10.15 inference(resolution,[status(thm)],[f200,f804])).
% 77.22/10.15 fof(f3406,plain,(
% 77.22/10.15 ![X0,X1,X2]: (relation_dom_restriction(X0,X1)=identity_relation(X2)|sk0_0(X2,relation_dom_restriction(X0,X1))=sk0_1(X2,relation_dom_restriction(X0,X1))|~relation(X0)|in(sk0_0(X2,relation_dom_restriction(X0,X1)),X1))),
% 77.22/10.15 inference(forward_subsumption_resolution,[status(thm)],[f3405,f395])).
% 77.22/10.15 fof(f3407,plain,(
% 77.22/10.15 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|sk0_0(X1,X0)=sk0_1(X1,X0)|~relation(X0)|in(sk0_0(X1,X0),relation_dom(X0)))),
% 77.22/10.15 inference(resolution,[status(thm)],[f200,f772])).
% 77.22/10.15 fof(f3408,plain,(
% 77.22/10.15 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|sk0_0(X1,X0)=sk0_1(X1,X0)|in(sk0_0(X1,X0),relation_dom(X0)))),
% 77.22/10.15 inference(duplicate_literals_removal,[status(esa)],[f3407])).
% 77.22/10.15 fof(f3409,plain,(
% 77.22/10.15 spl0_13 <=> empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3410,plain,(
% 77.22/10.15 ![X0]: (empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|~spl0_13)),
% 77.22/10.15 inference(component_clause,[status(thm)],[f3409])).
% 77.22/10.15 fof(f3412,plain,(
% 77.22/10.15 ![X0]: (~relation(empty_set)|empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set))),
% 77.22/10.15 inference(resolution,[status(thm)],[f200,f757])).
% 77.22/10.15 fof(f3413,plain,(
% 77.22/10.15 ~spl0_4|spl0_13),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3412,f799,f3409])).
% 77.22/10.15 fof(f3416,plain,(
% 77.22/10.15 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|sk0_0(X1,X0)=sk0_1(X1,X0)|~in(X0,ordered_pair(sk0_0(X1,X0),sk0_1(X1,X0))))),
% 77.22/10.15 inference(resolution,[status(thm)],[f200,f183])).
% 77.22/10.15 fof(f3420,plain,(
% 77.22/10.15 ![X0]: (empty_set=relation_dom(X0)|~subset(empty_set,relation_dom(X0))|~relation(X0)|~subset(X0,empty_set)|~spl0_7)),
% 77.22/10.15 inference(resolution,[status(thm)],[f205,f820])).
% 77.22/10.15 fof(f3421,plain,(
% 77.22/10.15 ![X0]: (empty_set=relation_dom(X0)|~relation(X0)|~subset(X0,empty_set)|~spl0_7)),
% 77.22/10.15 inference(forward_subsumption_resolution,[status(thm)],[f3420,f563])).
% 77.22/10.15 fof(f3422,plain,(
% 77.22/10.15 ![X0,X1]: (relation_dom(X0)=relation_dom(X1)|~subset(relation_dom(X0),relation_dom(X1))|~relation(X1)|~relation(X0)|~subset(X1,X0))),
% 77.22/10.15 inference(resolution,[status(thm)],[f205,f548])).
% 77.22/10.15 fof(f3423,plain,(
% 77.22/10.15 ![X0,X1]: (X0=relation_dom(X1)|~subset(X0,relation_dom(X1))|~relation(X1)|~subset(X1,identity_relation(X0)))),
% 77.22/10.15 inference(resolution,[status(thm)],[f205,f2105])).
% 77.22/10.15 fof(f3428,plain,(
% 77.22/10.15 ![X0]: (empty_set=relation_dom(set_intersection2(empty_set,X0))|~relation(set_intersection2(empty_set,X0))|~spl0_7)),
% 77.22/10.15 inference(resolution,[status(thm)],[f3421,f531])).
% 77.22/10.15 fof(f3429,plain,(
% 77.22/10.15 spl0_14 <=> empty_set=relation_dom(empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3432,plain,(
% 77.22/10.15 empty_set=relation_dom(empty_set)|~relation(empty_set)|~spl0_7),
% 77.22/10.15 inference(resolution,[status(thm)],[f3421,f563])).
% 77.22/10.15 fof(f3433,plain,(
% 77.22/10.15 spl0_14|~spl0_4|~spl0_7),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3432,f3429,f799,f819])).
% 77.22/10.15 fof(f3439,plain,(
% 77.22/10.15 ![X0]: (~relation(set_intersection2(empty_set,X0))|~relation(set_intersection2(empty_set,X0))|set_intersection2(empty_set,X0)=empty_set|~spl0_7)),
% 77.22/10.15 inference(resolution,[status(thm)],[f3428,f662])).
% 77.22/10.15 fof(f3440,plain,(
% 77.22/10.15 ![X0]: (~relation(set_intersection2(empty_set,X0))|set_intersection2(empty_set,X0)=empty_set|~spl0_7)),
% 77.22/10.15 inference(duplicate_literals_removal,[status(esa)],[f3439])).
% 77.22/10.15 fof(f3453,plain,(
% 77.22/10.15 spl0_16 <=> set_intersection2(empty_set,empty_set)=empty_set),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3456,plain,(
% 77.22/10.15 ~relation(empty_set)|set_intersection2(empty_set,empty_set)=empty_set|~spl0_7),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f555,f3440])).
% 77.22/10.15 fof(f3457,plain,(
% 77.22/10.15 ~spl0_4|spl0_16|~spl0_7),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3456,f799,f3453,f819])).
% 77.22/10.15 fof(f3458,plain,(
% 77.22/10.15 ![X0]: (~relation(set_intersection2(X0,empty_set))|set_intersection2(empty_set,X0)=empty_set|~spl0_7)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f190,f3440])).
% 77.22/10.15 fof(f3459,plain,(
% 77.22/10.15 ![X0]: (~relation(empty_set)|set_intersection2(empty_set,X0)=empty_set|~spl0_7)),
% 77.22/10.15 inference(forward_demodulation,[status(thm)],[f555,f3458])).
% 77.22/10.15 fof(f3460,plain,(
% 77.22/10.15 ![X0]: (set_intersection2(empty_set,X0)=empty_set|~spl0_7)),
% 77.22/10.15 inference(forward_subsumption_resolution,[status(thm)],[f3459,f417])).
% 77.22/10.15 fof(f3471,plain,(
% 77.22/10.15 spl0_17 <=> relation(relation_dom(empty_set))),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3481,plain,(
% 77.22/10.15 spl0_19 <=> empty_set=relation_dom(set_intersection2(empty_set,X0))),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3484,plain,(
% 77.22/10.15 ![X0]: (empty_set=relation_dom(set_intersection2(empty_set,X0))|~relation(empty_set)|~spl0_7)),
% 77.22/10.15 inference(backward_demodulation,[status(thm)],[f3460,f3428])).
% 77.22/10.15 fof(f3485,plain,(
% 77.22/10.15 spl0_19|~spl0_4|~spl0_7),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3484,f3481,f799,f819])).
% 77.22/10.15 fof(f3496,plain,(
% 77.22/10.15 ![X0]: (empty_set=identity_relation(X0)|~in(X0,sk0_0(X0,empty_set))|~spl0_12)),
% 77.22/10.15 inference(resolution,[status(thm)],[f3391,f183])).
% 77.22/10.15 fof(f3497,plain,(
% 77.22/10.15 spl0_20 <=> empty_set=identity_relation(X0)|in(ordered_pair(sk0_0(X0,empty_set),sk0_0(X0,empty_set)),empty_set)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|empty_set=identity_relation(X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3500,plain,(
% 77.22/10.15 ![X0]: (~relation(empty_set)|empty_set=identity_relation(X0)|in(ordered_pair(sk0_0(X0,empty_set),sk0_0(X0,empty_set)),empty_set)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|empty_set=identity_relation(X0)|~spl0_13)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3410,f200])).
% 77.22/10.15 fof(f3501,plain,(
% 77.22/10.15 ~spl0_4|spl0_20|~spl0_13),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3500,f799,f3497,f3409])).
% 77.22/10.15 fof(f3502,plain,(
% 77.22/10.15 spl0_21 <=> empty_set=identity_relation(X0)|in(ordered_pair(sk0_0(X0,empty_set),sk0_0(X0,empty_set)),empty_set)|in(sk0_0(X0,empty_set),X0)|empty_set=identity_relation(X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3505,plain,(
% 77.22/10.15 ![X0]: (~relation(empty_set)|empty_set=identity_relation(X0)|in(ordered_pair(sk0_0(X0,empty_set),sk0_0(X0,empty_set)),empty_set)|in(sk0_0(X0,empty_set),X0)|empty_set=identity_relation(X0)|~spl0_13)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3410,f199])).
% 77.22/10.15 fof(f3506,plain,(
% 77.22/10.15 ~spl0_4|spl0_21|~spl0_13),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3505,f799,f3502,f3409])).
% 77.22/10.15 fof(f3507,plain,(
% 77.22/10.15 spl0_22 <=> empty_set=identity_relation(X0)|~in(ordered_pair(sk0_0(X0,empty_set),sk0_0(X0,empty_set)),empty_set)|~in(sk0_0(X0,empty_set),X0)|~sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|empty_set=identity_relation(X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3510,plain,(
% 77.22/10.15 ![X0]: (~relation(empty_set)|empty_set=identity_relation(X0)|~in(ordered_pair(sk0_0(X0,empty_set),sk0_0(X0,empty_set)),empty_set)|~in(sk0_0(X0,empty_set),X0)|~sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|empty_set=identity_relation(X0)|~spl0_13)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3410,f198])).
% 77.22/10.15 fof(f3511,plain,(
% 77.22/10.15 ~spl0_4|spl0_22|~spl0_13),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3510,f799,f3507,f3409])).
% 77.22/10.15 fof(f3523,plain,(
% 77.22/10.15 ![X0,X1,X2,X3]: (~relation(X0)|~in(unordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X1)|~in(ordered_pair(unordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X0))),
% 77.22/10.15 inference(resolution,[status(thm)],[f3278,f827])).
% 77.22/10.15 fof(f3537,plain,(
% 77.22/10.15 ![X0,X1,X2,X3]: (~relation(X0)|~in(unordered_pair(X1,relation_dom(relation_dom_restriction(X0,X2))),X2)|~in(ordered_pair(unordered_pair(X1,relation_dom(relation_dom_restriction(X0,X2))),X3),X0))),
% 77.22/10.15 inference(resolution,[status(thm)],[f3325,f827])).
% 77.22/10.15 fof(f3589,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(unordered_pair(ordered_pair(X0,X1),X2))|in(X0,relation_dom(unordered_pair(X2,ordered_pair(X0,X1)))))),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f188,f3277])).
% 77.22/10.15 fof(f3639,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(unordered_pair(X0,ordered_pair(X1,X2)))|in(X1,relation_dom(unordered_pair(ordered_pair(X1,X2),X0))))),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f188,f3324])).
% 77.22/10.15 fof(f3666,plain,(
% 77.22/10.15 ![X0,X1]: (X0=relation_dom(identity_relation(X1))|~subset(X0,X1)|~relation(identity_relation(X1))|~subset(identity_relation(X1),identity_relation(X0)))),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f678,f3423])).
% 77.22/10.15 fof(f3667,plain,(
% 77.22/10.15 ![X0,X1]: (X0=X1|~subset(X0,X1)|~relation(identity_relation(X1))|~subset(identity_relation(X1),identity_relation(X0)))),
% 77.22/10.15 inference(forward_demodulation,[status(thm)],[f678,f3666])).
% 77.22/10.15 fof(f3668,plain,(
% 77.22/10.15 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(identity_relation(X1),identity_relation(X0)))),
% 77.22/10.15 inference(forward_subsumption_resolution,[status(thm)],[f3667,f388])).
% 77.22/10.15 fof(f3669,plain,(
% 77.22/10.15 spl0_23 <=> X0=relation_dom(empty_set)|~subset(X0,empty_set)|~subset(empty_set,identity_relation(X0))),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3670,plain,(
% 77.22/10.15 ![X0]: (X0=relation_dom(empty_set)|~subset(X0,empty_set)|~subset(empty_set,identity_relation(X0))|~spl0_23)),
% 77.22/10.15 inference(component_clause,[status(thm)],[f3669])).
% 77.22/10.15 fof(f3672,plain,(
% 77.22/10.15 ![X0]: (X0=relation_dom(empty_set)|~subset(X0,empty_set)|~relation(empty_set)|~subset(empty_set,identity_relation(X0)))),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f654,f3423])).
% 77.22/10.15 fof(f3673,plain,(
% 77.22/10.15 spl0_23|~spl0_4),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3672,f3669,f799])).
% 77.22/10.15 fof(f3674,plain,(
% 77.22/10.15 ![X0]: (X0=empty_set|~subset(X0,empty_set)|~subset(empty_set,identity_relation(X0))|~spl0_23)),
% 77.22/10.15 inference(forward_demodulation,[status(thm)],[f654,f3670])).
% 77.22/10.15 fof(f3675,plain,(
% 77.22/10.15 ![X0]: (X0=empty_set|~subset(X0,empty_set)|~spl0_23)),
% 77.22/10.15 inference(forward_subsumption_resolution,[status(thm)],[f3674,f563])).
% 77.22/10.15 fof(f3703,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~empty(relation_dom_restriction(identity_relation(X0),X1))|~relation(identity_relation(X0))|~in(X2,X1)|~in(X2,X0))),
% 77.22/10.15 inference(resolution,[status(thm)],[f3343,f2170])).
% 77.22/10.15 fof(f3704,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~empty(relation_dom_restriction(identity_relation(X0),X1))|~in(X2,X1)|~in(X2,X0))),
% 77.22/10.15 inference(forward_subsumption_resolution,[status(thm)],[f3703,f388])).
% 77.22/10.15 fof(f3762,plain,(
% 77.22/10.15 spl0_24 <=> relation_dom_restriction(empty_set,X0)=identity_relation(X1)|in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X1)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3763,plain,(
% 77.22/10.15 ![X0,X1]: (relation_dom_restriction(empty_set,X0)=identity_relation(X1)|in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X1)|~spl0_24)),
% 77.22/10.15 inference(component_clause,[status(thm)],[f3762])).
% 77.22/10.15 fof(f3765,plain,(
% 77.22/10.15 ![X0,X1]: (relation_dom_restriction(empty_set,X0)=identity_relation(X1)|in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X1)|~relation(empty_set))),
% 77.22/10.15 inference(resolution,[status(thm)],[f3385,f757])).
% 77.22/10.15 fof(f3766,plain,(
% 77.22/10.15 spl0_24|~spl0_4),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3765,f3762,f799])).
% 77.22/10.15 fof(f3767,plain,(
% 77.22/10.15 ![X0,X1,X2]: (relation_dom_restriction(X0,X1)=identity_relation(X2)|in(sk0_0(X2,relation_dom_restriction(X0,X1)),X2)|~relation(X0)|~empty(X0))),
% 77.22/10.15 inference(resolution,[status(thm)],[f3385,f688])).
% 77.22/10.15 fof(f3768,plain,(
% 77.22/10.15 ![X0,X1,X2]: (relation_dom_restriction(X0,X1)=identity_relation(X2)|in(sk0_0(X2,relation_dom_restriction(X0,X1)),X2)|~empty(X0))),
% 77.22/10.15 inference(forward_subsumption_resolution,[status(thm)],[f3767,f187])).
% 77.22/10.15 fof(f3770,plain,(
% 77.22/10.15 ![X0]: (relation_dom_restriction(empty_set,X0)=identity_relation(empty_set)|~spl0_24)),
% 77.22/10.15 inference(resolution,[status(thm)],[f3763,f757])).
% 77.22/10.15 fof(f3771,plain,(
% 77.22/10.15 ![X0]: (relation_dom_restriction(empty_set,X0)=empty_set|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(forward_demodulation,[status(thm)],[f2098,f3770])).
% 77.22/10.15 fof(f3775,plain,(
% 77.22/10.15 spl0_25 <=> relation_dom_restriction(empty_set,X0)=identity_relation(X1)|in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X1)|in(ordered_pair(sk0_0(X1,relation_dom_restriction(empty_set,X0)),sk0_1(X1,empty_set)),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3778,plain,(
% 77.22/10.15 ![X0,X1]: (relation_dom_restriction(empty_set,X0)=identity_relation(X1)|in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X1)|~relation(empty_set)|in(ordered_pair(sk0_0(X1,relation_dom_restriction(empty_set,X0)),sk0_1(X1,empty_set)),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f3385])).
% 77.22/10.15 fof(f3779,plain,(
% 77.22/10.15 spl0_25|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3778,f3775,f799,f2097,f3762])).
% 77.22/10.15 fof(f3780,plain,(
% 77.22/10.15 spl0_26 <=> relation_dom_restriction(empty_set,X0)=identity_relation(X1)|in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X1)|in(ordered_pair(sk0_0(X1,empty_set),sk0_1(X1,relation_dom_restriction(empty_set,X0))),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3783,plain,(
% 77.22/10.15 ![X0,X1]: (relation_dom_restriction(empty_set,X0)=identity_relation(X1)|in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X1)|~relation(empty_set)|in(ordered_pair(sk0_0(X1,empty_set),sk0_1(X1,relation_dom_restriction(empty_set,X0))),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f3385])).
% 77.22/10.15 fof(f3784,plain,(
% 77.22/10.15 spl0_26|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3783,f3780,f799,f2097,f3762])).
% 77.22/10.15 fof(f3785,plain,(
% 77.22/10.15 spl0_27 <=> ~relation(sk0_47(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))|~in(relation_dom(sk0_47(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X0)|~in(ordered_pair(relation_dom(sk0_47(ordered_pair(relation_dom(empty_set),X1))),X2),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3788,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(sk0_47(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))|~relation(empty_set)|~in(relation_dom(sk0_47(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X0)|~in(ordered_pair(relation_dom(sk0_47(ordered_pair(relation_dom(empty_set),X1))),X2),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2325])).
% 77.22/10.15 fof(f3789,plain,(
% 77.22/10.15 spl0_27|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3788,f3785,f799,f2097,f3762])).
% 77.22/10.15 fof(f3790,plain,(
% 77.22/10.15 spl0_28 <=> ~in(relation_dom(relation_dom_restriction(identity_relation(relation_dom(relation_dom_restriction(empty_set,X0))),relation_dom(relation_dom_restriction(empty_set,X0)))),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(identity_relation(relation_dom(relation_dom_restriction(empty_set,X0))),relation_dom(empty_set))),X1),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3793,plain,(
% 77.22/10.15 ![X0,X1]: (~relation(empty_set)|~in(relation_dom(relation_dom_restriction(identity_relation(relation_dom(relation_dom_restriction(empty_set,X0))),relation_dom(relation_dom_restriction(empty_set,X0)))),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(identity_relation(relation_dom(relation_dom_restriction(empty_set,X0))),relation_dom(empty_set))),X1),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2850])).
% 77.22/10.15 fof(f3794,plain,(
% 77.22/10.15 ~spl0_4|spl0_28|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3793,f799,f3790,f2097,f3762])).
% 77.22/10.15 fof(f3795,plain,(
% 77.22/10.15 spl0_29 <=> ~in(relation_dom(relation_dom_restriction(identity_relation(relation_dom(relation_dom_restriction(empty_set,X0))),relation_dom(relation_dom_restriction(empty_set,X0)))),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(identity_relation(relation_dom(empty_set)),relation_dom(relation_dom_restriction(empty_set,X0)))),X1),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3798,plain,(
% 77.22/10.15 ![X0,X1]: (~relation(empty_set)|~in(relation_dom(relation_dom_restriction(identity_relation(relation_dom(relation_dom_restriction(empty_set,X0))),relation_dom(relation_dom_restriction(empty_set,X0)))),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(identity_relation(relation_dom(empty_set)),relation_dom(relation_dom_restriction(empty_set,X0)))),X1),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2850])).
% 77.22/10.15 fof(f3799,plain,(
% 77.22/10.15 ~spl0_4|spl0_29|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3798,f799,f3795,f2097,f3762])).
% 77.22/10.15 fof(f3800,plain,(
% 77.22/10.15 spl0_30 <=> ~in(sk0_56(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X1)|~in(sk0_56(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X0)|~in(ordered_pair(sk0_56(relation_dom(relation_dom_restriction(empty_set,X1))),X2),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3803,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~in(sk0_56(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X1)|~relation(empty_set)|~in(sk0_56(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X0)|~in(ordered_pair(sk0_56(relation_dom(relation_dom_restriction(empty_set,X1))),X2),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2492])).
% 77.22/10.15 fof(f3804,plain,(
% 77.22/10.15 spl0_30|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3803,f3800,f799,f2097,f3762])).
% 77.22/10.15 fof(f3805,plain,(
% 77.22/10.15 spl0_31 <=> ~in(sk0_47(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X1)|~in(sk0_47(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X0)|~in(ordered_pair(sk0_47(relation_dom(relation_dom_restriction(empty_set,X1))),X2),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3808,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~in(sk0_47(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X1)|~relation(empty_set)|~in(sk0_47(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X0)|~in(ordered_pair(sk0_47(relation_dom(relation_dom_restriction(empty_set,X1))),X2),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2434])).
% 77.22/10.15 fof(f3809,plain,(
% 77.22/10.15 spl0_31|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3808,f3805,f799,f2097,f3762])).
% 77.22/10.15 fof(f3810,plain,(
% 77.22/10.15 spl0_32 <=> relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)=identity_relation(X2)|~in(sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X2)|~sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))=sk0_1(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X1)|~in(ordered_pair(sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),sk0_1(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X0)|~in(ordered_pair(ordered_pair(sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),sk0_1(X2,relation_dom_restriction(relation_dom(empty_set),X1))),X3),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3813,plain,(
% 77.22/10.15 ![X0,X1,X2,X3]: (relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)=identity_relation(X2)|~in(sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X2)|~sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))=sk0_1(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X1)|~relation(empty_set)|~in(ordered_pair(sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),sk0_1(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X0)|~in(ordered_pair(ordered_pair(sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),sk0_1(X2,relation_dom_restriction(relation_dom(empty_set),X1))),X3),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2430])).
% 77.22/10.15 fof(f3814,plain,(
% 77.22/10.15 spl0_32|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3813,f3810,f799,f2097,f3762])).
% 77.22/10.15 fof(f3815,plain,(
% 77.22/10.15 spl0_33 <=> relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)=identity_relation(X2)|~in(sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X2)|~sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))=sk0_1(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X1)|~in(ordered_pair(sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),sk0_1(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X0)|~in(ordered_pair(ordered_pair(sk0_0(X2,relation_dom_restriction(relation_dom(empty_set),X1)),sk0_1(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X3),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3818,plain,(
% 77.22/10.15 ![X0,X1,X2,X3]: (relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)=identity_relation(X2)|~in(sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X2)|~sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))=sk0_1(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X1)|~relation(empty_set)|~in(ordered_pair(sk0_0(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),sk0_1(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X0)|~in(ordered_pair(ordered_pair(sk0_0(X2,relation_dom_restriction(relation_dom(empty_set),X1)),sk0_1(X2,relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X3),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2430])).
% 77.22/10.15 fof(f3819,plain,(
% 77.22/10.15 spl0_33|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3818,f3815,f799,f2097,f3762])).
% 77.22/10.15 fof(f3820,plain,(
% 77.22/10.15 spl0_34 <=> relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)=identity_relation(X2)|~in(sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)|~sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))=sk0_1(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))|~in(sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X1)|~in(sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X0)|~in(ordered_pair(sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),sk0_1(X2,relation_dom_restriction(empty_set,X1))),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3823,plain,(
% 77.22/10.15 ![X0,X1,X2]: (relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)=identity_relation(X2)|~in(sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)|~sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))=sk0_1(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))|~in(sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X1)|~relation(empty_set)|~in(sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X0)|~in(ordered_pair(sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),sk0_1(X2,relation_dom_restriction(empty_set,X1))),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2420])).
% 77.22/10.15 fof(f3824,plain,(
% 77.22/10.15 spl0_34|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3823,f3820,f799,f2097,f3762])).
% 77.22/10.15 fof(f3825,plain,(
% 77.22/10.15 spl0_35 <=> relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)=identity_relation(X2)|~in(sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)|~sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))=sk0_1(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))|~in(sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X1)|~in(sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X0)|~in(ordered_pair(sk0_0(X2,relation_dom_restriction(empty_set,X1)),sk0_1(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3828,plain,(
% 77.22/10.15 ![X0,X1,X2]: (relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)=identity_relation(X2)|~in(sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)|~sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))=sk0_1(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))|~in(sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X1)|~relation(empty_set)|~in(sk0_0(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X0)|~in(ordered_pair(sk0_0(X2,relation_dom_restriction(empty_set,X1)),sk0_1(X2,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2420])).
% 77.22/10.15 fof(f3829,plain,(
% 77.22/10.15 spl0_35|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3828,f3825,f799,f2097,f3762])).
% 77.22/10.15 fof(f3830,plain,(
% 77.22/10.15 spl0_36 <=> ~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|relation_dom(relation_dom_restriction(empty_set,X0))=identity_relation(X1)|~in(sk0_0(X1,relation_dom(relation_dom_restriction(empty_set,X0))),X1)|~sk0_0(X1,relation_dom(relation_dom_restriction(empty_set,X0)))=sk0_1(X1,relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(sk0_0(X1,relation_dom(relation_dom_restriction(empty_set,X0))),sk0_1(X1,relation_dom(relation_dom_restriction(empty_set,X0)))),X0)|~in(ordered_pair(ordered_pair(sk0_0(X1,relation_dom(relation_dom_restriction(empty_set,X0))),sk0_1(X1,relation_dom(empty_set))),X2),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3833,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|relation_dom(relation_dom_restriction(empty_set,X0))=identity_relation(X1)|~in(sk0_0(X1,relation_dom(relation_dom_restriction(empty_set,X0))),X1)|~sk0_0(X1,relation_dom(relation_dom_restriction(empty_set,X0)))=sk0_1(X1,relation_dom(relation_dom_restriction(empty_set,X0)))|~relation(empty_set)|~in(ordered_pair(sk0_0(X1,relation_dom(relation_dom_restriction(empty_set,X0))),sk0_1(X1,relation_dom(relation_dom_restriction(empty_set,X0)))),X0)|~in(ordered_pair(ordered_pair(sk0_0(X1,relation_dom(relation_dom_restriction(empty_set,X0))),sk0_1(X1,relation_dom(empty_set))),X2),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2294])).
% 77.22/10.15 fof(f3834,plain,(
% 77.22/10.15 spl0_36|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3833,f3830,f799,f2097,f3762])).
% 77.22/10.15 fof(f3835,plain,(
% 77.22/10.15 spl0_37 <=> ~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|relation_dom(relation_dom_restriction(empty_set,X0))=identity_relation(X1)|~in(sk0_0(X1,relation_dom(relation_dom_restriction(empty_set,X0))),X1)|~sk0_0(X1,relation_dom(relation_dom_restriction(empty_set,X0)))=sk0_1(X1,relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(sk0_0(X1,relation_dom(relation_dom_restriction(empty_set,X0))),sk0_1(X1,relation_dom(relation_dom_restriction(empty_set,X0)))),X0)|~in(ordered_pair(ordered_pair(sk0_0(X1,relation_dom(empty_set)),sk0_1(X1,relation_dom(relation_dom_restriction(empty_set,X0)))),X2),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3838,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|relation_dom(relation_dom_restriction(empty_set,X0))=identity_relation(X1)|~in(sk0_0(X1,relation_dom(relation_dom_restriction(empty_set,X0))),X1)|~sk0_0(X1,relation_dom(relation_dom_restriction(empty_set,X0)))=sk0_1(X1,relation_dom(relation_dom_restriction(empty_set,X0)))|~relation(empty_set)|~in(ordered_pair(sk0_0(X1,relation_dom(relation_dom_restriction(empty_set,X0))),sk0_1(X1,relation_dom(relation_dom_restriction(empty_set,X0)))),X0)|~in(ordered_pair(ordered_pair(sk0_0(X1,relation_dom(empty_set)),sk0_1(X1,relation_dom(relation_dom_restriction(empty_set,X0)))),X2),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2294])).
% 77.22/10.15 fof(f3839,plain,(
% 77.22/10.15 spl0_37|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3838,f3835,f799,f2097,f3762])).
% 77.22/10.15 fof(f3840,plain,(
% 77.22/10.15 spl0_38 <=> ~in(sk0_56(relation_dom(relation_dom_restriction(empty_set,X0))),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3841,plain,(
% 77.22/10.15 ![X0]: (~in(sk0_56(relation_dom(relation_dom_restriction(empty_set,X0))),X0)|~spl0_38)),
% 77.22/10.15 inference(component_clause,[status(thm)],[f3840])).
% 77.22/10.15 fof(f3843,plain,(
% 77.22/10.15 spl0_39 <=> ~in(ordered_pair(sk0_56(relation_dom(empty_set)),X1),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3846,plain,(
% 77.22/10.15 ![X0,X1]: (~relation(empty_set)|~in(sk0_56(relation_dom(relation_dom_restriction(empty_set,X0))),X0)|~in(ordered_pair(sk0_56(relation_dom(empty_set)),X1),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2125])).
% 77.22/10.15 fof(f3847,plain,(
% 77.22/10.15 ~spl0_4|spl0_38|spl0_39|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3846,f799,f3840,f3843,f2097,f3762])).
% 77.22/10.15 fof(f3848,plain,(
% 77.22/10.15 spl0_40 <=> ~in(sk0_47(relation_dom(relation_dom_restriction(empty_set,X0))),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3849,plain,(
% 77.22/10.15 ![X0]: (~in(sk0_47(relation_dom(relation_dom_restriction(empty_set,X0))),X0)|~spl0_40)),
% 77.22/10.15 inference(component_clause,[status(thm)],[f3848])).
% 77.22/10.15 fof(f3851,plain,(
% 77.22/10.15 spl0_41 <=> ~in(ordered_pair(sk0_47(relation_dom(empty_set)),X1),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3854,plain,(
% 77.22/10.15 ![X0,X1]: (~relation(empty_set)|~in(sk0_47(relation_dom(relation_dom_restriction(empty_set,X0))),X0)|~in(ordered_pair(sk0_47(relation_dom(empty_set)),X1),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2164])).
% 77.22/10.15 fof(f3855,plain,(
% 77.22/10.15 ~spl0_4|spl0_40|spl0_41|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3854,f799,f3848,f3851,f2097,f3762])).
% 77.22/10.15 fof(f3856,plain,(
% 77.22/10.15 spl0_42 <=> relation_dom_restriction(empty_set,X0)=identity_relation(X1)|~in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X1)|~sk0_0(X1,relation_dom_restriction(empty_set,X0))=sk0_1(X1,relation_dom_restriction(empty_set,X0))|~in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X0)|~in(ordered_pair(sk0_0(X1,relation_dom_restriction(empty_set,X0)),sk0_1(X1,empty_set)),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3859,plain,(
% 77.22/10.15 ![X0,X1]: (relation_dom_restriction(empty_set,X0)=identity_relation(X1)|~in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X1)|~sk0_0(X1,relation_dom_restriction(empty_set,X0))=sk0_1(X1,relation_dom_restriction(empty_set,X0))|~relation(empty_set)|~in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X0)|~in(ordered_pair(sk0_0(X1,relation_dom_restriction(empty_set,X0)),sk0_1(X1,empty_set)),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2284])).
% 77.22/10.15 fof(f3860,plain,(
% 77.22/10.15 spl0_42|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3859,f3856,f799,f2097,f3762])).
% 77.22/10.15 fof(f3861,plain,(
% 77.22/10.15 spl0_43 <=> relation_dom_restriction(empty_set,X0)=identity_relation(X1)|~in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X1)|~sk0_0(X1,relation_dom_restriction(empty_set,X0))=sk0_1(X1,relation_dom_restriction(empty_set,X0))|~in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X0)|~in(ordered_pair(sk0_0(X1,empty_set),sk0_1(X1,relation_dom_restriction(empty_set,X0))),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3864,plain,(
% 77.22/10.15 ![X0,X1]: (relation_dom_restriction(empty_set,X0)=identity_relation(X1)|~in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X1)|~sk0_0(X1,relation_dom_restriction(empty_set,X0))=sk0_1(X1,relation_dom_restriction(empty_set,X0))|~relation(empty_set)|~in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X0)|~in(ordered_pair(sk0_0(X1,empty_set),sk0_1(X1,relation_dom_restriction(empty_set,X0))),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f2284])).
% 77.22/10.15 fof(f3865,plain,(
% 77.22/10.15 spl0_43|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3864,f3861,f799,f2097,f3762])).
% 77.22/10.15 fof(f3866,plain,(
% 77.22/10.15 spl0_44 <=> ~relation(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3))))|~relation(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3)))))|~in(relation_dom(relation_dom_restriction(empty_set,X0)),X4)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3)))),X4)),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(empty_set),X1),X2),X3)))),X4)),X5),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3869,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5]: (~relation(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3))))|~relation(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3)))))|~in(relation_dom(relation_dom_restriction(empty_set,X0)),X4)|~relation(empty_set)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3)))),X4)),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(empty_set),X1),X2),X3)))),X4)),X5),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1407])).
% 77.22/10.15 fof(f3870,plain,(
% 77.22/10.15 spl0_44|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3869,f3866,f799,f2097,f3762])).
% 77.22/10.15 fof(f3871,plain,(
% 77.22/10.15 spl0_45 <=> ~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2))),X2)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2))),X3),X4),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2))),X3),X4),X0)|~in(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(empty_set,X1))),X2))),X3),X4),X5),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3874,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5]: (~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2))),X2)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2))),X3),X4),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2))),X3),X4),X0)|~in(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(empty_set,X1))),X2))),X3),X4),X5),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1382])).
% 77.22/10.15 fof(f3875,plain,(
% 77.22/10.15 spl0_45|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3874,f3871,f799,f2097,f3762])).
% 77.22/10.15 fof(f3876,plain,(
% 77.22/10.15 spl0_46 <=> ~relation(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3))))|~relation(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3)))))|~in(relation_dom(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3))))),X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(empty_set),X1),X2),X3))))),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3879,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~relation(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3))))|~relation(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3)))))|~relation(empty_set)|~in(relation_dom(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2),X3))))),X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(ordered_pair(relation_dom(empty_set),X1),X2),X3))))),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1536])).
% 77.22/10.15 fof(f3880,plain,(
% 77.22/10.15 spl0_46|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3879,f3876,f799,f2097,f3762])).
% 77.22/10.15 fof(f3881,plain,(
% 77.22/10.15 spl0_47 <=> ~in(relation_dom(relation_dom_restriction(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)),X3),X4)),X1)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)),X3),X4)),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X1)),X2)),X3),X4)),X5),empty_set)|~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X3)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3884,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5]: (~in(relation_dom(relation_dom_restriction(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)),X3),X4)),X1)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X4)|~relation(empty_set)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)),X3),X4)),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X1)),X2)),X3),X4)),X5),empty_set)|~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X3)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1294])).
% 77.22/10.15 fof(f3885,plain,(
% 77.22/10.15 spl0_47|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3884,f3881,f799,f2097,f3762])).
% 77.22/10.15 fof(f3886,plain,(
% 77.22/10.15 spl0_48 <=> ~relation(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X3)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X3))))|~in(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X3)))),X1)|~in(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X3)))),X0)|~in(ordered_pair(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X1)),X2),X3)))),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3889,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~relation(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X3)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X3))))|~in(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X3)))),X1)|~relation(empty_set)|~in(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X3)))),X0)|~in(ordered_pair(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X1)),X2),X3)))),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1615])).
% 77.22/10.15 fof(f3890,plain,(
% 77.22/10.15 spl0_48|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3889,f3886,f799,f2097,f3762])).
% 77.22/10.15 fof(f3891,plain,(
% 77.22/10.15 spl0_49 <=> ~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)),X3)))|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)),X3))),X2)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)),X3))),X1)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)),X3))),X0)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X1),X2)),X3))),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3894,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)),X3)))|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)),X3))),X2)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)),X3))),X1)|~relation(empty_set)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)),X3))),X0)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X1),X2)),X3))),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1651])).
% 77.22/10.15 fof(f3895,plain,(
% 77.22/10.15 spl0_49|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3894,f3891,f799,f2097,f3762])).
% 77.22/10.15 fof(f3896,plain,(
% 77.22/10.15 spl0_50 <=> ~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)))),X3),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)))|~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)))),X3),X1)|~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)))),X3),X0)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X1),X2)))),X3),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3899,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)))),X3),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)))|~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)))),X3),X1)|~relation(empty_set)|~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)))),X3),X0)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X1),X2)))),X3),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1627])).
% 77.22/10.15 fof(f3900,plain,(
% 77.22/10.15 spl0_50|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3899,f3896,f799,f2097,f3762])).
% 77.22/10.15 fof(f3901,plain,(
% 77.22/10.15 spl0_51 <=> ~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2),X3))),X3)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2),X3))),X2)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2),X3))),X1)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2),X3))),X0)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X1),X2),X3))),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3904,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2),X3))),X3)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2),X3))),X2)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2),X3))),X1)|~relation(empty_set)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2),X3))),X0)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X1),X2),X3))),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1639])).
% 77.22/10.15 fof(f3905,plain,(
% 77.22/10.15 spl0_51|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3904,f3901,f799,f2097,f3762])).
% 77.22/10.15 fof(f3906,plain,(
% 77.22/10.15 spl0_52 <=> ~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X2))),X2)|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X2))),X3),X4),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))|~in(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X2))),X3),X4),X5),X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X1))),X2))),X3),X4),X5),X6),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3909,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6]: (~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X2))),X2)|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X2))),X3),X4),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X2))),X3),X4),X5),X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X1))),X2))),X3),X4),X5),X6),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1381])).
% 77.22/10.15 fof(f3910,plain,(
% 77.22/10.15 spl0_52|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3909,f3906,f799,f2097,f3762])).
% 77.22/10.15 fof(f3911,plain,(
% 77.22/10.15 spl0_53 <=> ~relation(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)))|~in(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X3)|~relation(relation_dom(relation_dom_restriction(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)),X3)))|~in(relation_dom(relation_dom(relation_dom_restriction(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)),X3))),X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(singleton(ordered_pair(ordered_pair(relation_dom(empty_set),X1),X2)),X3))),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3914,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~relation(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)))|~in(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X3)|~relation(relation_dom(relation_dom_restriction(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)),X3)))|~relation(empty_set)|~in(relation_dom(relation_dom(relation_dom_restriction(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)),X3))),X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(singleton(ordered_pair(ordered_pair(relation_dom(empty_set),X1),X2)),X3))),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1464])).
% 77.22/10.15 fof(f3915,plain,(
% 77.22/10.15 spl0_53|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3914,f3911,f799,f2097,f3762])).
% 77.22/10.15 fof(f3916,plain,(
% 77.22/10.15 spl0_54 <=> ~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2))),X2)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2))),X3),X1)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2))),X3),X0)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X1)),X2))),X3),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3919,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2))),X2)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2))),X3),X1)|~relation(empty_set)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2))),X3),X0)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X1)),X2))),X3),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1517])).
% 77.22/10.15 fof(f3920,plain,(
% 77.22/10.15 spl0_54|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3919,f3916,f799,f2097,f3762])).
% 77.22/10.15 fof(f3921,plain,(
% 77.22/10.15 spl0_55 <=> ~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))))),X2),X3),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))))),X2),X3),X0)|~in(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom(relation_dom_restriction(empty_set,X1))))),X2),X3),X4),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))))),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3924,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))))),X2),X3),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))))),X2),X3),X0)|~in(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom(relation_dom_restriction(empty_set,X1))))),X2),X3),X4),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))))|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1275])).
% 77.22/10.15 fof(f3925,plain,(
% 77.22/10.15 spl0_55|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3924,f3921,f799,f2097,f3762])).
% 77.22/10.15 fof(f3926,plain,(
% 77.22/10.15 spl0_56 <=> ~relation(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2)))|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2))),X3),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2))),X3),X0)|~in(ordered_pair(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(empty_set,X1))),X2))),X3),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3929,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~relation(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2)))|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2))),X3),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~relation(empty_set)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2))),X3),X0)|~in(ordered_pair(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(empty_set,X1))),X2))),X3),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1370])).
% 77.22/10.15 fof(f3930,plain,(
% 77.22/10.15 spl0_56|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3929,f3926,f799,f2097,f3762])).
% 77.22/10.15 fof(f3931,plain,(
% 77.22/10.15 spl0_57 <=> ~relation(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X2)))|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X2))),X3),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))|~in(ordered_pair(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X2))),X3),X4),X0)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X1))),X2))),X3),X4),X5),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3934,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5]: (~relation(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X2)))|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X2))),X3),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X2))),X3),X4),X0)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X1))),X2))),X3),X4),X5),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1369])).
% 77.22/10.15 fof(f3935,plain,(
% 77.22/10.15 spl0_57|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3934,f3931,f799,f2097,f3762])).
% 77.22/10.15 fof(f3936,plain,(
% 77.22/10.15 spl0_58 <=> ~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X2)))|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X2))),X1)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X2))),X3),X0)|~in(ordered_pair(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(empty_set),X1)),X2))),X3),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3939,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X2)))|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X2))),X1)|~relation(empty_set)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X2))),X3),X0)|~in(ordered_pair(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(empty_set),X1)),X2))),X3),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1455])).
% 77.22/10.15 fof(f3940,plain,(
% 77.22/10.15 spl0_58|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3939,f3936,f799,f2097,f3762])).
% 77.22/10.15 fof(f3941,plain,(
% 77.22/10.15 spl0_59 <=> ~in(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)),X3)),X1)|~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X3)|~in(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)),X3)),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X1)),X2)),X3)),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3944,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~in(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)),X3)),X1)|~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X3)|~relation(empty_set)|~in(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)),X3)),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X1)),X2)),X3)),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1295])).
% 77.22/10.15 fof(f3945,plain,(
% 77.22/10.15 spl0_59|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3944,f3941,f799,f2097,f3762])).
% 77.22/10.15 fof(f3946,plain,(
% 77.22/10.15 spl0_60 <=> ~relation(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2))))|~in(relation_dom(relation_dom_restriction(empty_set,X0)),X3)|~in(relation_dom(relation_dom_restriction(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2))),X3)),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(empty_set),X1),X2))),X3)),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3949,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~relation(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2))))|~in(relation_dom(relation_dom_restriction(empty_set,X0)),X3)|~relation(empty_set)|~in(relation_dom(relation_dom_restriction(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2))),X3)),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(empty_set),X1),X2))),X3)),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1347])).
% 77.22/10.15 fof(f3950,plain,(
% 77.22/10.15 spl0_60|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3949,f3946,f799,f2097,f3762])).
% 77.22/10.15 fof(f3951,plain,(
% 77.22/10.15 spl0_61 <=> ~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2))),X2)|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2))),X1)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2))),X3),X0)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(empty_set),X1),X2))),X3),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3954,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2))),X2)|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2))),X1)|~relation(empty_set)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2))),X3),X0)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(empty_set),X1),X2))),X3),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1443])).
% 77.22/10.15 fof(f3955,plain,(
% 77.22/10.15 spl0_61|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3954,f3951,f799,f2097,f3762])).
% 77.22/10.15 fof(f3956,plain,(
% 77.22/10.15 spl0_62 <=> ~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))),X2),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))),X2),X3),X0)|~in(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X1)))),X2),X3),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3959,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))),X2),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))),X2),X3),X0)|~in(ordered_pair(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X1)))),X2),X3),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1279])).
% 77.22/10.15 fof(f3960,plain,(
% 77.22/10.15 spl0_62|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3959,f3956,f799,f2097,f3762])).
% 77.22/10.15 fof(f3961,plain,(
% 77.22/10.15 spl0_63 <=> ~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)))|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2))),X1)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2))),X0)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X1)),X2))),X3),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3964,plain,(
% 77.22/10.15 ![X0,X1,X2,X3]: (~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)))|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2))),X1)|~relation(empty_set)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2))),X0)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X1)),X2))),X3),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1445])).
% 77.22/10.15 fof(f3965,plain,(
% 77.22/10.15 spl0_63|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3964,f3961,f799,f2097,f3762])).
% 77.22/10.15 fof(f3966,plain,(
% 77.22/10.15 spl0_64 <=> ~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2))),X2)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2))),X1)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2))),X0)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X1),X2))),X3),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3969,plain,(
% 77.22/10.15 ![X0,X1,X2,X3]: (~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2))),X2)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2))),X1)|~relation(empty_set)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2))),X0)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X1),X2))),X3),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1433])).
% 77.22/10.15 fof(f3970,plain,(
% 77.22/10.15 spl0_64|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3969,f3966,f799,f2097,f3762])).
% 77.22/10.15 fof(f3971,plain,(
% 77.22/10.15 spl0_65 <=> ~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))),X2),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))),X2),X0)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(empty_set,X1)))),X2),X3),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3974,plain,(
% 77.22/10.15 ![X0,X1,X2,X3]: (~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))),X2),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~relation(empty_set)|~in(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))),X2),X0)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom(relation_dom_restriction(empty_set,X1)))),X2),X3),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1280])).
% 77.22/10.15 fof(f3975,plain,(
% 77.22/10.15 spl0_65|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3974,f3971,f799,f2097,f3762])).
% 77.22/10.15 fof(f3976,plain,(
% 77.22/10.15 spl0_66 <=> ~relation(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2))))|~in(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)))),X0)|~in(ordered_pair(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(empty_set),X1),X2)))),X3),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3979,plain,(
% 77.22/10.15 ![X0,X1,X2,X3]: (~relation(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2))))|~relation(empty_set)|~in(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)))),X0)|~in(ordered_pair(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(empty_set),X1),X2)))),X3),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1392])).
% 77.22/10.15 fof(f3980,plain,(
% 77.22/10.15 spl0_66|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3979,f3976,f799,f2097,f3762])).
% 77.22/10.15 fof(f3981,plain,(
% 77.22/10.15 spl0_67 <=> ~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X1)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X2),X0)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(empty_set),X1))),X2),X3),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3984,plain,(
% 77.22/10.15 ![X0,X1,X2,X3]: (~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X1)|~relation(empty_set)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X2),X0)|~in(ordered_pair(ordered_pair(singleton(relation_dom(relation_dom_restriction(relation_dom(empty_set),X1))),X2),X3),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1383])).
% 77.22/10.15 fof(f3985,plain,(
% 77.22/10.15 spl0_67|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3984,f3981,f799,f2097,f3762])).
% 77.22/10.15 fof(f3986,plain,(
% 77.22/10.15 spl0_68 <=> ~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))|~in(relation_dom(relation_dom_restriction(empty_set,X0)),X2)|~in(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X2)),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(empty_set),X1)),X2)),X3),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3989,plain,(
% 77.22/10.15 ![X0,X1,X2,X3]: (~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))|~in(relation_dom(relation_dom_restriction(empty_set,X0)),X2)|~relation(empty_set)|~in(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X2)),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(singleton(ordered_pair(relation_dom(empty_set),X1)),X2)),X3),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1296])).
% 77.22/10.15 fof(f3990,plain,(
% 77.22/10.15 spl0_68|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3989,f3986,f799,f2097,f3762])).
% 77.22/10.15 fof(f3991,plain,(
% 77.22/10.15 spl0_69 <=> ~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X0)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(empty_set),X1))),X2),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3994,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))|~relation(empty_set)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X0)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(empty_set),X1))),X2),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1332])).
% 77.22/10.15 fof(f3995,plain,(
% 77.22/10.15 spl0_69|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3994,f3991,f799,f2097,f3762])).
% 77.22/10.15 fof(f3996,plain,(
% 77.22/10.15 spl0_70 <=> ~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X1)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X0)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(empty_set,X1))),X2),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f3999,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X1)|~relation(empty_set)|~in(singleton(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X0)|~in(ordered_pair(singleton(relation_dom(relation_dom_restriction(empty_set,X1))),X2),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1373])).
% 77.22/10.15 fof(f4000,plain,(
% 77.22/10.15 spl0_70|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f3999,f3996,f799,f2097,f3762])).
% 77.22/10.15 fof(f4001,plain,(
% 77.22/10.15 spl0_71 <=> ~in(singleton(relation_dom(relation_dom_restriction(empty_set,X0))),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4002,plain,(
% 77.22/10.15 ![X0]: (~in(singleton(relation_dom(relation_dom_restriction(empty_set,X0))),X0)|~spl0_71)),
% 77.22/10.15 inference(component_clause,[status(thm)],[f4001])).
% 77.22/10.15 fof(f4004,plain,(
% 77.22/10.15 spl0_72 <=> ~in(ordered_pair(singleton(relation_dom(empty_set)),X1),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4007,plain,(
% 77.22/10.15 ![X0,X1]: (~relation(empty_set)|~in(singleton(relation_dom(relation_dom_restriction(empty_set,X0))),X0)|~in(ordered_pair(singleton(relation_dom(empty_set)),X1),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1281])).
% 77.22/10.15 fof(f4008,plain,(
% 77.22/10.15 ~spl0_4|spl0_71|spl0_72|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4007,f799,f4001,f4004,f2097,f3762])).
% 77.22/10.15 fof(f4009,plain,(
% 77.22/10.15 spl0_73 <=> ~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3)),X4),X5),X6)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6)))|~relation(X0)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3)),X4),X5),X7),X1)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X3)),X4),X5),X7),X8),X0)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9)),X3)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3)),X9)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9)),X2)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9)),X10),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4012,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3)),X4),X5),X6)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6)))|~relation(X0)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3)),X4),X5),X7),X1)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X3)),X4),X5),X7),X8),X0)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9)),X3)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3)),X9)|~relation(empty_set)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9)),X2)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X6))),X9)),X10),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f861])).
% 77.22/10.15 fof(f4013,plain,(
% 77.22/10.15 spl0_73|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4012,f4009,f799,f2097,f3762])).
% 77.22/10.15 fof(f4014,plain,(
% 77.22/10.15 spl0_74 <=> ~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3))),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5)))|~relation(X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3))),X4),X6),X1)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(empty_set,X3))),X4),X6),X7),X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))),X8),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3)))|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))),X8),X2)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))),X8),X9),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4017,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3))),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5)))|~relation(X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3))),X4),X6),X1)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(empty_set,X3))),X4),X6),X7),X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))),X8),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3)))|~relation(empty_set)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))),X8),X2)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))),X8),X9),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f859])).
% 77.22/10.15 fof(f4018,plain,(
% 77.22/10.15 spl0_74|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4017,f4014,f799,f2097,f3762])).
% 77.22/10.15 fof(f4019,plain,(
% 77.22/10.15 spl0_75 <=> ~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5)))|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X6)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X7),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5)))))|~in(ordered_pair(X0,X1),X8)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5)))),X8)))|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom(relation_dom_restriction(empty_set,X5)))),X8))),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4022,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X6)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X7),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5)))))|~in(ordered_pair(X0,X1),X8)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5)))),X8)))|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom(relation_dom_restriction(empty_set,X5)))),X8))),X0)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1203])).
% 77.22/10.15 fof(f4023,plain,(
% 77.22/10.15 spl0_75|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4022,f4019,f799,f2097,f3762])).
% 77.22/10.15 fof(f4024,plain,(
% 77.22/10.15 spl0_76 <=> ~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))|~in(ordered_pair(ordered_pair(X2,X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X5)))|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X1)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X5))))|in(X2,relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom(empty_set),X1)),X5)))))|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X7),X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X7),X8),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4027,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)))|~in(ordered_pair(ordered_pair(X2,X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X5)))|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X1)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1)),X5))))|in(X2,relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom(empty_set),X1)),X5)))))|~relation(empty_set)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X7),X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X7),X8),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f910])).
% 77.22/10.15 fof(f4028,plain,(
% 77.22/10.15 spl0_76|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4027,f4024,f799,f2097,f3762])).
% 77.22/10.15 fof(f4029,plain,(
% 77.22/10.15 spl0_77 <=> ~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5)))|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X6)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X7),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5)))))|~in(ordered_pair(X0,X1),X8)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5)))),X8)))|in(X0,relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom(relation_dom_restriction(empty_set,X5)))),X8))))),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4032,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X6)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4),X7),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5)))))|~in(ordered_pair(X0,X1),X8)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X5)))),X8)))|in(X0,relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom(relation_dom_restriction(empty_set,X5)))),X8))))|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f874])).
% 77.22/10.15 fof(f4033,plain,(
% 77.22/10.15 spl0_77|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4032,f4029,f799,f2097,f3762])).
% 77.22/10.15 fof(f4034,plain,(
% 77.22/10.15 spl0_78 <=> ~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))|~relation(X5)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X3),X6)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X1)),X2),X3),X7),X5)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))))|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))),X1)|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))),X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))),X8),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4037,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))|~relation(X5)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X3),X6)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X1)),X2),X3),X7),X5)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4))))|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))),X1)|~relation(empty_set)|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))),X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X5,X6),X4)))),X8),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f942])).
% 77.22/10.15 fof(f4038,plain,(
% 77.22/10.15 spl0_78|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4037,f4034,f799,f2097,f3762])).
% 77.22/10.15 fof(f4039,plain,(
% 77.22/10.15 spl0_79 <=> ~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(ordered_pair(ordered_pair(X1,X2),X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5)))|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X1,X2),X3),X4),X6),X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X1,X2),X3),X4),X6),X7),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5))))|~in(ordered_pair(X1,X2),X8)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5))),X8)))|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X5))),X8))),X1)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4042,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(ordered_pair(ordered_pair(X1,X2),X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X1,X2),X3),X4),X6),X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X1,X2),X3),X4),X6),X7),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5))))|~in(ordered_pair(X1,X2),X8)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5))),X8)))|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X5))),X8))),X1)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1022])).
% 77.22/10.15 fof(f4043,plain,(
% 77.22/10.15 spl0_79|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4042,f4039,f799,f2097,f3762])).
% 77.22/10.15 fof(f4044,plain,(
% 77.22/10.15 spl0_80 <=> ~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)))|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X6)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4))),X2)|~relation(X0)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X4))),X7),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X5)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X8),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4047,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)))|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X6)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4))),X2)|~relation(X0)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X4))),X7),X0)|~relation(empty_set)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X5)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3),X8),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f936])).
% 77.22/10.15 fof(f4048,plain,(
% 77.22/10.15 spl0_80|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4047,f4044,f799,f2097,f3762])).
% 77.22/10.15 fof(f4049,plain,(
% 77.22/10.15 spl0_81 <=> ~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3)),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5)))|~relation(X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3)),X4),X6),X1)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X3)),X4),X6),X7),X0)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))),X3)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))),X2)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))),X8),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4052,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3)),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5)))|~relation(X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X2),X3)),X4),X6),X1)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X3)),X4),X6),X7),X0)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))),X3)|~relation(empty_set)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))),X2)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X5))),X8),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f930])).
% 77.22/10.15 fof(f4053,plain,(
% 77.22/10.15 spl0_81|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4052,f4049,f799,f2097,f3762])).
% 77.22/10.15 fof(f4054,plain,(
% 77.22/10.15 spl0_82 <=> ~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)),X3)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X6)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)),X2)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X4)),X7),X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X8),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4057,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)),X3)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X6)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)),X2)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X4)),X7),X0)|~relation(empty_set)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)),X8),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f924])).
% 77.22/10.15 fof(f4058,plain,(
% 77.22/10.15 spl0_82|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4057,f4054,f799,f2097,f3762])).
% 77.22/10.15 fof(f4059,plain,(
% 77.22/10.15 spl0_83 <=> ~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X2)|~relation(X4)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)),X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X1)),X2)),X6),X4)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X8),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4062,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X2)|~relation(X4)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)),X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X1)),X2)),X6),X4)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X1)|~relation(empty_set)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X8),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f918])).
% 77.22/10.15 fof(f4063,plain,(
% 77.22/10.15 spl0_83|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4062,f4059,f799,f2097,f3762])).
% 77.22/10.15 fof(f4064,plain,(
% 77.22/10.15 spl0_84 <=> ~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4)))|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3),X5)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3),X6),empty_set)|~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))),X2)|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))),X7),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(empty_set,X4))),X7),X8),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4067,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4)))|~relation(empty_set)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3),X5)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3),X6),empty_set)|~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))),X2)|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))),X7),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(empty_set,X4))),X7),X8),X0)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f892])).
% 77.22/10.15 fof(f4068,plain,(
% 77.22/10.15 spl0_84|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4067,f4064,f799,f2097,f3762])).
% 77.22/10.15 fof(f4069,plain,(
% 77.22/10.15 spl0_85 <=> ~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2)),X3)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X2)|~relation(X4)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2)),X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(empty_set,X1))),X2)),X6),X4)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X8),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X8),X0)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X8),X9),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4072,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2)),X3)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X2)|~relation(X4)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),X2)),X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(empty_set,X1))),X2)),X6),X4)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X8),X1)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X8),X0)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X8),X9),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f857])).
% 77.22/10.15 fof(f4073,plain,(
% 77.22/10.15 spl0_85|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4072,f4069,f799,f2097,f3762])).
% 77.22/10.15 fof(f4074,plain,(
% 77.22/10.15 spl0_86 <=> ~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)))|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X6)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)))))|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X5)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X7),empty_set)|~in(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X4))))),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4077,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)))|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X6)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)))))|~relation(empty_set)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X5)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X7),empty_set)|~in(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X4))))),X0)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f1082])).
% 77.22/10.15 fof(f4078,plain,(
% 77.22/10.15 spl0_86|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4077,f4074,f799,f2097,f3762])).
% 77.22/10.15 fof(f4079,plain,(
% 77.22/10.15 spl0_87 <=> ~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)))|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X6)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)))))|in(X0,relation_dom(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X4))))))|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X5)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X7),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4082,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)))|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X6)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X6),X4)))))|in(X0,relation_dom(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X6),X4))))))|~relation(empty_set)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X5)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X7),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f912])).
% 77.22/10.15 fof(f4083,plain,(
% 77.22/10.15 spl0_87|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4082,f4079,f799,f2097,f3762])).
% 77.22/10.15 fof(f4084,plain,(
% 77.22/10.15 spl0_88 <=> ~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)),X3)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X2)|~relation(X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)),X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(empty_set),X1),X2)),X6),X4)|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X8),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4087,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)),X3)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X2)|~relation(X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)),X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom(empty_set),X1),X2)),X6),X4)|~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X1)|~relation(empty_set)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),X8),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f904])).
% 77.22/10.15 fof(f4088,plain,(
% 77.22/10.15 spl0_88|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4087,f4084,f799,f2097,f3762])).
% 77.22/10.15 fof(f4089,plain,(
% 77.22/10.15 spl0_89 <=> ~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X2)),X3)),X4)|~relation(relation_dom(relation_dom_restriction(empty_set,X2)))|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X4)),X3)|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X2)),X3)),X5),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(empty_set),X3)),X5),X6),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X4)),X7),X2)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X4)),X7),X8),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4092,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X2)),X3)),X4)|~relation(relation_dom(relation_dom_restriction(empty_set,X2)))|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X4)),X3)|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X2)),X3)),X5),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(empty_set),X3)),X5),X6),X0)|~relation(empty_set)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X4)),X7),X2)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X4)),X7),X8),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f886])).
% 77.22/10.15 fof(f4093,plain,(
% 77.22/10.15 spl0_89|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4092,f4089,f799,f2097,f3762])).
% 77.22/10.15 fof(f4094,plain,(
% 77.22/10.15 spl0_90 <=> ~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~in(ordered_pair(ordered_pair(X2,X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X5)))|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X1)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X5))))|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X7),empty_set)|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X1)),X5)))),X2)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4097,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~in(ordered_pair(ordered_pair(X2,X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X5)))|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X1)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X5))))|~relation(empty_set)|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X7),empty_set)|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X1)),X5)))),X2)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f992])).
% 77.22/10.15 fof(f4098,plain,(
% 77.22/10.15 spl0_90|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4097,f4094,f799,f2097,f3762])).
% 77.22/10.15 fof(f4099,plain,(
% 77.22/10.15 spl0_91 <=> ~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4)))|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X5)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X6),empty_set)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))),X7),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))),X7),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(empty_set,X4))),X7),X8),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4102,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4)))|~relation(empty_set)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X5)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X3),X6),empty_set)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))),X7),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)))|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))),X7),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(empty_set,X4))),X7),X8),X0)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f853])).
% 77.22/10.15 fof(f4103,plain,(
% 77.22/10.15 spl0_91|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4102,f4099,f799,f2097,f3762])).
% 77.22/10.15 fof(f4104,plain,(
% 77.22/10.15 spl0_92 <=> ~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(ordered_pair(ordered_pair(X1,X2),X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5)))|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X1,X2),X3),X4),X6),X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X1,X2),X3),X4),X6),X7),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5))))|~in(ordered_pair(X1,X2),X8)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5))),X8)))|in(X1,relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X5))),X8))))),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4107,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(ordered_pair(ordered_pair(X1,X2),X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X1,X2),X3),X4),X6),X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X1,X2),X3),X4),X6),X7),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5))))|~in(ordered_pair(X1,X2),X8)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5))),X8)))|in(X1,relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X5))),X8))))|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f863])).
% 77.22/10.15 fof(f4108,plain,(
% 77.22/10.15 spl0_92|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4107,f4104,f799,f2097,f3762])).
% 77.22/10.15 fof(f4109,plain,(
% 77.22/10.15 spl0_93 <=> ~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5)))|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X3),X4),X6),X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X3),X4),X6),X7),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5))))|~in(relation_dom(relation_dom_restriction(X1,X2)),X8)|~relation(X1)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5))),X8)),X2)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X5))),X8)),X9),X1)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4112,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X3),X4),X6),X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X3),X4),X6),X7),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5))))|~in(relation_dom(relation_dom_restriction(X1,X2)),X8)|~relation(X1)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X5))),X8)),X2)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X5))),X8)),X9),X1)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f862])).
% 77.22/10.15 fof(f4113,plain,(
% 77.22/10.15 spl0_93|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4112,f4109,f799,f2097,f3762])).
% 77.22/10.15 fof(f4114,plain,(
% 77.22/10.15 spl0_94 <=> ~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~in(ordered_pair(ordered_pair(X2,X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X5)))|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X1)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X5))))|in(X2,relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X1)),X5)))))|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X7),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4117,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)))|~in(ordered_pair(ordered_pair(X2,X3),X4),X5)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X5)))|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X1)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X5))))|in(X2,relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X1)),X5)))))|~relation(empty_set)|~in(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X0)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X2,X3),X4),X6),X7),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f906])).
% 77.22/10.15 fof(f4118,plain,(
% 77.22/10.15 spl0_94|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4117,f4114,f799,f2097,f3762])).
% 77.22/10.15 fof(f4119,plain,(
% 77.22/10.15 spl0_95 <=> ~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4)))|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X5)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X6),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))))|~in(ordered_pair(X0,X1),X7)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))),X7)))|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(empty_set,X4))),X7))),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4122,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X5)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X6),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))))|~in(ordered_pair(X0,X1),X7)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))),X7)))|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(empty_set,X4))),X7))),X0)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f966])).
% 77.22/10.15 fof(f4123,plain,(
% 77.22/10.15 spl0_95|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4122,f4119,f799,f2097,f3762])).
% 77.22/10.15 fof(f4124,plain,(
% 77.22/10.15 spl0_96 <=> ~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4)))|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X5)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X6),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))))|~in(ordered_pair(X0,X1),X7)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))),X7)))|in(X0,relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(empty_set,X4))),X7))))),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4127,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X5)|~in(ordered_pair(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X3),X6),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))))|~in(ordered_pair(X0,X1),X7)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))),X7)))|in(X0,relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(empty_set,X4))),X7))))|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f850])).
% 77.22/10.15 fof(f4128,plain,(
% 77.22/10.15 spl0_96|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4127,f4124,f799,f2097,f3762])).
% 77.22/10.15 fof(f4129,plain,(
% 77.22/10.15 spl0_97 <=> ~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4)))|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X5)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X6),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))))|~relation(X0)|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4)))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom(relation_dom_restriction(empty_set,X4)))),X7),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4132,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X5)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X6),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))))|~relation(X0)|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4)))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom(relation_dom_restriction(empty_set,X4)))),X7),X0)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f871])).
% 77.22/10.15 fof(f4133,plain,(
% 77.22/10.15 spl0_97|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4132,f4129,f799,f2097,f3762])).
% 77.22/10.15 fof(f4134,plain,(
% 77.22/10.15 spl0_98 <=> ~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)))|~relation(X4)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X5)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X1)),X2),X6),X4)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3))),X1)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3))),X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3))),X7),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4137,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)))|~relation(X4)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2),X5)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X1)),X2),X6),X4)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3))),X1)|~relation(empty_set)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3))),X0)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3))),X7),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f888])).
% 77.22/10.15 fof(f4138,plain,(
% 77.22/10.15 spl0_98|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4137,f4134,f799,f2097,f3762])).
% 77.22/10.15 fof(f4139,plain,(
% 77.22/10.15 spl0_99 <=> ~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X4)))|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X3),X5),X0)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X3),X5),X6),empty_set)|~relation(X1)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X4))),X2)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X4))),X7),X1)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4142,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X4)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X3),X5),X0)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X3),X5),X6),empty_set)|~relation(X1)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X4))),X2)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X4))),X7),X1)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f860])).
% 77.22/10.15 fof(f4143,plain,(
% 77.22/10.15 spl0_99|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4142,f4139,f799,f2097,f3762])).
% 77.22/10.15 fof(f4144,plain,(
% 77.22/10.15 spl0_100 <=> ~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)),X3)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X2)|~relation(X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)),X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X1),X2)),X6),X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X1)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4147,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)),X3)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X2)|~relation(X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)),X5)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X1),X2)),X6),X4)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X1)|~relation(empty_set)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X4,X5),X3)),X7),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f900])).
% 77.22/10.15 fof(f4148,plain,(
% 77.22/10.15 spl0_100|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4147,f4144,f799,f2097,f3762])).
% 77.22/10.15 fof(f4149,plain,(
% 77.22/10.15 spl0_101 <=> ~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3)|~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3)),X2)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X4)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X5),empty_set)|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3)),X6),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X3)),X6),X7),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4152,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X3)|~relation(relation_dom(relation_dom_restriction(X0,X1)))|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3)),X2)|~relation(empty_set)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X4)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(X0,X1)),X2)),X5),empty_set)|~relation(X0)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3)),X6),X1)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X3)),X6),X7),X0)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f858])).
% 77.22/10.15 fof(f4153,plain,(
% 77.22/10.15 spl0_101|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4152,f4149,f799,f2097,f3762])).
% 77.22/10.15 fof(f4154,plain,(
% 77.22/10.15 spl0_102 <=> ~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3)),X2)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X4)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X5),empty_set)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X3)),X6),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4157,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6]: (~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X3)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3)),X2)|~relation(empty_set)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X4)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X5),empty_set)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X3)),X6),X0)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f856])).
% 77.22/10.15 fof(f4158,plain,(
% 77.22/10.15 spl0_102|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4157,f4154,f799,f2097,f3762])).
% 77.22/10.15 fof(f4159,plain,(
% 77.22/10.15 spl0_103 <=> ~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4)))|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X5)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X6),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))))|~in(relation_dom(relation_dom_restriction(X0,X1)),X7)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))),X7)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(empty_set,X4))),X7)),X8),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4162,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X4)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X5)|~in(ordered_pair(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3),X6),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))))|~in(relation_dom(relation_dom_restriction(X0,X1)),X7)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X5),X4))),X7)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(relation_dom(relation_dom_restriction(empty_set,X4))),X7)),X8),X0)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f849])).
% 77.22/10.15 fof(f4163,plain,(
% 77.22/10.15 spl0_103|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4162,f4159,f799,f2097,f3762])).
% 77.22/10.15 fof(f4164,plain,(
% 77.22/10.15 spl0_104 <=> ~in(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3)))|~in(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X4)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X5),empty_set)|~relation(X0)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(empty_set,X3))),X6),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4167,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6]: (~in(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3)))|~relation(empty_set)|~in(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X4)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X5),empty_set)|~relation(X0)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3))),X1)|~in(ordered_pair(relation_dom(relation_dom(relation_dom_restriction(empty_set,X3))),X6),X0)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f848])).
% 77.22/10.15 fof(f4168,plain,(
% 77.22/10.15 spl0_104|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4167,f4164,f799,f2097,f3762])).
% 77.22/10.15 fof(f4169,plain,(
% 77.22/10.15 spl0_105 <=> ~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(relation_dom(relation_dom_restriction(X1,X2)),X3)|~relation(X1)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X3)),X2)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(empty_set),X3)),X4),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X5),X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X5),X6),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4172,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5,X6]: (~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(relation_dom(relation_dom_restriction(X1,X2)),X3)|~relation(X1)|~in(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X3)),X2)|~in(ordered_pair(relation_dom(relation_dom_restriction(relation_dom(empty_set),X3)),X4),X1)|~relation(empty_set)|~in(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X5),X0)|~in(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X1,X2)),X5),X6),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f847])).
% 77.22/10.15 fof(f4173,plain,(
% 77.22/10.15 spl0_105|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4172,f4169,f799,f2097,f3762])).
% 77.22/10.15 fof(f4174,plain,(
% 77.22/10.15 spl0_106 <=> ~in(ordered_pair(ordered_pair(X0,X1),X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3)))|~in(ordered_pair(ordered_pair(X0,X1),X2),X4)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X5),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3))))|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(empty_set,X3)))),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4177,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5]: (~in(ordered_pair(ordered_pair(X0,X1),X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(X0,X1),X2),X4)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X5),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3))))|~in(relation_dom(relation_dom(relation_dom(relation_dom_restriction(empty_set,X3)))),X0)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f876])).
% 77.22/10.15 fof(f4178,plain,(
% 77.22/10.15 spl0_106|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4177,f4174,f799,f2097,f3762])).
% 77.22/10.15 fof(f4179,plain,(
% 77.22/10.15 spl0_107 <=> ~in(ordered_pair(ordered_pair(X0,X1),X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3)))|~in(ordered_pair(ordered_pair(X0,X1),X2),X4)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X5),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3))))|in(X0,relation_dom(relation_dom(relation_dom(relation_dom_restriction(empty_set,X3)))))),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4182,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5]: (~in(ordered_pair(ordered_pair(X0,X1),X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(X0,X1),X2),X4)|~in(ordered_pair(ordered_pair(ordered_pair(X0,X1),X2),X5),empty_set)|~relation(relation_dom(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X4),X3))))|in(X0,relation_dom(relation_dom(relation_dom(relation_dom_restriction(empty_set,X3)))))|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f851])).
% 77.22/10.15 fof(f4183,plain,(
% 77.22/10.15 spl0_107|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4182,f4179,f799,f2097,f3762])).
% 77.22/10.15 fof(f4184,plain,(
% 77.22/10.15 spl0_108 <=> ~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(X1,X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X3)))|~in(ordered_pair(ordered_pair(X1,X2),X4),X0)|~in(ordered_pair(ordered_pair(ordered_pair(X1,X2),X4),X5),empty_set)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X3))),X1)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4187,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5]: (~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(X1,X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X3)))|~relation(empty_set)|~in(ordered_pair(ordered_pair(X1,X2),X4),X0)|~in(ordered_pair(ordered_pair(ordered_pair(X1,X2),X4),X5),empty_set)|~in(relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X3))),X1)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f865])).
% 77.22/10.15 fof(f4188,plain,(
% 77.22/10.15 spl0_108|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4187,f4184,f799,f2097,f3762])).
% 77.22/10.15 fof(f4189,plain,(
% 77.22/10.15 spl0_109 <=> ~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(X1,X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X3)))|in(X1,relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X3))))|~in(ordered_pair(ordered_pair(X1,X2),X4),X0)|~in(ordered_pair(ordered_pair(ordered_pair(X1,X2),X4),X5),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4192,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5]: (~relation(relation_dom(relation_dom_restriction(empty_set,X0)))|~in(ordered_pair(X1,X2),X3)|~relation(relation_dom(relation_dom_restriction(relation_dom(relation_dom_restriction(empty_set,X0)),X3)))|in(X1,relation_dom(relation_dom(relation_dom_restriction(relation_dom(empty_set),X3))))|~relation(empty_set)|~in(ordered_pair(ordered_pair(X1,X2),X4),X0)|~in(ordered_pair(ordered_pair(ordered_pair(X1,X2),X4),X5),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f833])).
% 77.22/10.15 fof(f4193,plain,(
% 77.22/10.15 spl0_109|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4192,f4189,f799,f2097,f3762])).
% 77.22/10.15 fof(f4194,plain,(
% 77.22/10.15 spl0_110 <=> ~in(relation_dom(relation_dom_restriction(X0,X1)),X2)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X3),X2)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X2)),X4),X0)|~in(relation_dom(relation_dom_restriction(X0,X1)),X3)|~in(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X5),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4197,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4,X5]: (~in(relation_dom(relation_dom_restriction(X0,X1)),X2)|~relation(X0)|~in(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X3),X2)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X2)),X4),X0)|~relation(empty_set)|~in(relation_dom(relation_dom_restriction(X0,X1)),X3)|~in(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X5),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f846])).
% 77.22/10.15 fof(f4198,plain,(
% 77.22/10.15 spl0_110|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4197,f4194,f799,f2097,f3762])).
% 77.22/10.15 fof(f4199,plain,(
% 77.22/10.15 spl0_111 <=> ~in(ordered_pair(X0,X1),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X3),X2)))|~in(ordered_pair(X0,X1),X3)|~in(ordered_pair(ordered_pair(X0,X1),X4),empty_set)|~in(relation_dom(relation_dom(relation_dom_restriction(empty_set,X2))),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4202,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~in(ordered_pair(X0,X1),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X3),X2)))|~relation(empty_set)|~in(ordered_pair(X0,X1),X3)|~in(ordered_pair(ordered_pair(X0,X1),X4),empty_set)|~in(relation_dom(relation_dom(relation_dom_restriction(empty_set,X2))),X0)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f852])).
% 77.22/10.15 fof(f4203,plain,(
% 77.22/10.15 spl0_111|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4202,f4199,f799,f2097,f3762])).
% 77.22/10.15 fof(f4204,plain,(
% 77.22/10.15 spl0_112 <=> ~in(ordered_pair(X0,X1),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X3),X2)))|in(X0,relation_dom(relation_dom(relation_dom_restriction(empty_set,X2))))|~in(ordered_pair(X0,X1),X3)|~in(ordered_pair(ordered_pair(X0,X1),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4207,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~in(ordered_pair(X0,X1),X2)|~relation(relation_dom(relation_dom_restriction(relation_dom_restriction(empty_set,X3),X2)))|in(X0,relation_dom(relation_dom(relation_dom_restriction(empty_set,X2))))|~relation(empty_set)|~in(ordered_pair(X0,X1),X3)|~in(ordered_pair(ordered_pair(X0,X1),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f832])).
% 77.22/10.15 fof(f4208,plain,(
% 77.22/10.15 spl0_112|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4207,f4204,f799,f2097,f3762])).
% 77.22/10.15 fof(f4209,plain,(
% 77.22/10.15 spl0_113 <=> ~relation(X0)|~in(relation_dom(relation_dom_restriction(empty_set,X1)),X2)|~in(ordered_pair(relation_dom(empty_set),X3),X0)|~in(relation_dom(relation_dom_restriction(X0,X2)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(X0,X2)),X4),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4212,plain,(
% 77.22/10.15 ![X0,X1,X2,X3,X4]: (~relation(X0)|~in(relation_dom(relation_dom_restriction(empty_set,X1)),X2)|~in(ordered_pair(relation_dom(empty_set),X3),X0)|~relation(empty_set)|~in(relation_dom(relation_dom_restriction(X0,X2)),X1)|~in(ordered_pair(relation_dom(relation_dom_restriction(X0,X2)),X4),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f844])).
% 77.22/10.15 fof(f4213,plain,(
% 77.22/10.15 spl0_113|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4212,f4209,f799,f2097,f3762])).
% 77.22/10.15 fof(f4214,plain,(
% 77.22/10.15 spl0_114 <=> ~in(X0,X1)|~in(ordered_pair(X0,X2),empty_set)|~in(relation_dom(empty_set),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4217,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(empty_set)|~in(X0,X1)|~in(ordered_pair(X0,X2),empty_set)|~in(relation_dom(empty_set),X0)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f830])).
% 77.22/10.15 fof(f4218,plain,(
% 77.22/10.15 ~spl0_4|spl0_114|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4217,f799,f4214,f2097,f3762])).
% 77.22/10.15 fof(f4219,plain,(
% 77.22/10.15 spl0_115 <=> ~in(X0,X1)|~in(ordered_pair(X0,X2),empty_set)|~in(empty_set,ordered_pair(X0,X2))),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4222,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(empty_set)|~in(X0,X1)|~in(ordered_pair(X0,X2),empty_set)|~in(empty_set,ordered_pair(X0,X2))|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f828])).
% 77.22/10.15 fof(f4223,plain,(
% 77.22/10.15 ~spl0_4|spl0_115|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4222,f799,f4219,f2097,f3762])).
% 77.22/10.15 fof(f4224,plain,(
% 77.22/10.15 spl0_116 <=> ~in(X0,X1)|~in(ordered_pair(X0,X2),empty_set)|in(X0,relation_dom(empty_set))),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4227,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(empty_set)|~in(X0,X1)|~in(ordered_pair(X0,X2),empty_set)|in(X0,relation_dom(empty_set))|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f827])).
% 77.22/10.15 fof(f4228,plain,(
% 77.22/10.15 ~spl0_4|spl0_116|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4227,f799,f4224,f2097,f3762])).
% 77.22/10.15 fof(f4229,plain,(
% 77.22/10.15 spl0_117 <=> in(ordered_pair(X0,X1),empty_set)|~in(X0,X2)|~in(ordered_pair(X0,X1),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4232,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(empty_set)|in(ordered_pair(X0,X1),empty_set)|~in(X0,X2)|~in(ordered_pair(X0,X1),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f825])).
% 77.22/10.15 fof(f4233,plain,(
% 77.22/10.15 ~spl0_4|spl0_117|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4232,f799,f4229,f2097,f3762])).
% 77.22/10.15 fof(f4234,plain,(
% 77.22/10.15 spl0_118 <=> ~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,X1),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4237,plain,(
% 77.22/10.15 ![X0,X1]: (~relation(empty_set)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,X1),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f824])).
% 77.22/10.15 fof(f4238,plain,(
% 77.22/10.15 ~spl0_4|spl0_118|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4237,f799,f4234,f2097,f3762])).
% 77.22/10.15 fof(f4239,plain,(
% 77.22/10.15 spl0_119 <=> ~in(ordered_pair(X0,X1),empty_set)|in(X0,X2)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f4242,plain,(
% 77.22/10.15 ![X0,X1,X2]: (~relation(empty_set)|~in(ordered_pair(X0,X1),empty_set)|in(X0,X2)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f804])).
% 77.22/10.15 fof(f4243,plain,(
% 77.22/10.15 ~spl0_4|spl0_119|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f4242,f799,f4239,f2097,f3762])).
% 77.22/10.15 fof(f5499,plain,(
% 77.22/10.15 ![X0]: (~in(sk0_56(relation_dom(empty_set)),X0)|~spl0_10|~spl0_24|~spl0_38)),
% 77.22/10.15 inference(forward_demodulation,[status(thm)],[f3771,f3841])).
% 77.22/10.15 fof(f5500,plain,(
% 77.22/10.15 ![X0]: (~in(sk0_56(empty_set),X0)|~spl0_10|~spl0_24|~spl0_38)),
% 77.22/10.15 inference(forward_demodulation,[status(thm)],[f654,f5499])).
% 77.22/10.15 fof(f5501,plain,(
% 77.22/10.15 ![X0]: (~in(sk0_47(relation_dom(empty_set)),X0)|~spl0_10|~spl0_24|~spl0_40)),
% 77.22/10.15 inference(forward_demodulation,[status(thm)],[f3771,f3849])).
% 77.22/10.15 fof(f5502,plain,(
% 77.22/10.15 ![X0]: (~in(sk0_47(empty_set),X0)|~spl0_10|~spl0_24|~spl0_40)),
% 77.22/10.15 inference(forward_demodulation,[status(thm)],[f654,f5501])).
% 77.22/10.15 fof(f5503,plain,(
% 77.22/10.15 ![X0]: (~in(singleton(relation_dom(empty_set)),X0)|~spl0_10|~spl0_24|~spl0_71)),
% 77.22/10.15 inference(forward_demodulation,[status(thm)],[f3771,f4002])).
% 77.22/10.15 fof(f5504,plain,(
% 77.22/10.15 ![X0]: (~in(singleton(empty_set),X0)|~spl0_10|~spl0_24|~spl0_71)),
% 77.22/10.15 inference(forward_demodulation,[status(thm)],[f654,f5503])).
% 77.22/10.15 fof(f5518,plain,(
% 77.22/10.15 ![X0,X1,X2]: (relation_dom_restriction(X0,X1)=identity_relation(X2)|~empty(X0)|~in(X2,sk0_0(X2,relation_dom_restriction(X0,X1))))),
% 77.22/10.15 inference(resolution,[status(thm)],[f3768,f183])).
% 77.22/10.15 fof(f5519,plain,(
% 77.22/10.15 spl0_120 <=> relation_dom_restriction(empty_set,X0)=identity_relation(X1)|in(sk0_0(X1,empty_set),X1)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f5522,plain,(
% 77.22/10.15 ![X0,X1]: (relation_dom_restriction(empty_set,X0)=identity_relation(X1)|in(sk0_0(X1,empty_set),X1)|~empty(empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f3768])).
% 77.22/10.15 fof(f5523,plain,(
% 77.22/10.15 spl0_120|~spl0_3|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f5522,f5519,f794,f2097,f3762])).
% 77.22/10.15 fof(f5524,plain,(
% 77.22/10.15 ![X0,X1]: (relation_dom_restriction(X0,X1)=identity_relation(empty_set)|~relation(X0)|in(sk0_0(empty_set,relation_dom_restriction(X0,X1)),X1))),
% 77.22/10.15 inference(resolution,[status(thm)],[f3387,f757])).
% 77.22/10.15 fof(f5525,plain,(
% 77.22/10.15 ![X0,X1]: (relation_dom_restriction(X0,X1)=empty_set|~relation(X0)|in(sk0_0(empty_set,relation_dom_restriction(X0,X1)),X1)|~spl0_10)),
% 77.22/10.15 inference(forward_demodulation,[status(thm)],[f2098,f5524])).
% 77.22/10.15 fof(f5528,plain,(
% 77.22/10.15 spl0_121 <=> relation_dom_restriction(empty_set,X0)=identity_relation(X1)|in(sk0_0(X1,empty_set),X1)|in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f5531,plain,(
% 77.22/10.15 ![X0,X1]: (relation_dom_restriction(empty_set,X0)=identity_relation(X1)|in(sk0_0(X1,empty_set),X1)|~relation(empty_set)|in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X0)|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f3387])).
% 77.22/10.15 fof(f5532,plain,(
% 77.22/10.15 spl0_121|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f5531,f5528,f799,f2097,f3762])).
% 77.22/10.15 fof(f5534,plain,(
% 77.22/10.15 spl0_122 <=> empty_set=identity_relation(X0)|~empty(X0)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f5539,plain,(
% 77.22/10.15 spl0_123 <=> relation_dom_restriction(empty_set,X0)=identity_relation(X1)|~in(X1,sk0_0(X1,empty_set))),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f5542,plain,(
% 77.22/10.15 ![X0,X1]: (relation_dom_restriction(empty_set,X0)=identity_relation(X1)|~empty(empty_set)|~in(X1,sk0_0(X1,empty_set))|~spl0_10|~spl0_24)),
% 77.22/10.15 inference(paramodulation,[status(thm)],[f3771,f5518])).
% 77.22/10.15 fof(f5543,plain,(
% 77.22/10.15 spl0_123|~spl0_3|~spl0_10|~spl0_24),
% 77.22/10.15 inference(split_clause,[status(thm)],[f5542,f5539,f794,f2097,f3762])).
% 77.22/10.15 fof(f5691,plain,(
% 77.22/10.15 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|in(sk0_0(X1,X0),X1)|~empty(relation_dom(X0)))),
% 77.22/10.15 inference(resolution,[status(thm)],[f3389,f688])).
% 77.22/10.15 fof(f5695,plain,(
% 77.22/10.15 spl0_124 <=> empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0)|in(sk0_0(X0,empty_set),empty_set)),
% 77.22/10.15 introduced(split_symbol_definition)).
% 77.22/10.15 fof(f5698,plain,(
% 77.22/10.15 ![X0]: (~relation(empty_set)|empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0)|in(sk0_0(X0,empty_set),empty_set))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f3389])).
% 77.22/10.16 fof(f5699,plain,(
% 77.22/10.16 ~spl0_4|spl0_124),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5698,f799,f5695])).
% 77.22/10.16 fof(f5700,plain,(
% 77.22/10.16 spl0_125 <=> empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0)|~in(empty_set,ordered_pair(sk0_0(X0,empty_set),sk0_0(X0,empty_set)))|empty_set=identity_relation(X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5703,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0)|~in(empty_set,ordered_pair(sk0_0(X0,empty_set),sk0_0(X0,empty_set)))|empty_set=identity_relation(X0)|~spl0_13)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3410,f3397])).
% 77.22/10.16 fof(f5704,plain,(
% 77.22/10.16 ~spl0_4|spl0_125|~spl0_13),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5703,f799,f5700,f3409])).
% 77.22/10.16 fof(f5724,plain,(
% 77.22/10.16 ![X0]: (sk0_0(singleton(X0),empty_set)=X0|empty_set=identity_relation(singleton(X0))|~spl0_12)),
% 77.22/10.16 inference(resolution,[status(thm)],[f755,f3391])).
% 77.22/10.16 fof(f5733,plain,(
% 77.22/10.16 ![X0,X1]: (~proper_subset(identity_relation(X0),X1)|~relation(X1)|subset(X0,relation_dom(X1)))),
% 77.22/10.16 inference(resolution,[status(thm)],[f376,f2107])).
% 77.22/10.16 fof(f5734,plain,(
% 77.22/10.16 ![X0,X1]: (~proper_subset(X0,relation_dom(X1))|X0=relation_dom(X1)|~relation(X1)|~subset(X1,identity_relation(X0)))),
% 77.22/10.16 inference(resolution,[status(thm)],[f376,f3423])).
% 77.22/10.16 fof(f5743,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|~relation(relation_dom_restriction(X1,X2))|relation_dom_restriction(X1,X2)=relation_dom_restriction(X0,X3)|~in(sk0_2(X3,relation_dom_restriction(X1,X2),X0),X3)|~in(ordered_pair(sk0_2(X3,relation_dom_restriction(X1,X2),X0),sk0_3(X3,relation_dom_restriction(X1,X2),X0)),X0)|~relation(X1)|~in(sk0_2(X3,relation_dom_restriction(X1,X2),X0),X2)|~in(ordered_pair(sk0_2(X3,relation_dom_restriction(X1,X2),X0),sk0_3(X3,relation_dom_restriction(X1,X2),X0)),X1))),
% 77.22/10.16 inference(resolution,[status(thm)],[f213,f825])).
% 77.22/10.16 fof(f5744,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|relation_dom_restriction(X1,X2)=relation_dom_restriction(X0,X3)|~in(sk0_2(X3,relation_dom_restriction(X1,X2),X0),X3)|~in(ordered_pair(sk0_2(X3,relation_dom_restriction(X1,X2),X0),sk0_3(X3,relation_dom_restriction(X1,X2),X0)),X0)|~relation(X1)|~in(sk0_2(X3,relation_dom_restriction(X1,X2),X0),X2)|~in(ordered_pair(sk0_2(X3,relation_dom_restriction(X1,X2),X0),sk0_3(X3,relation_dom_restriction(X1,X2),X0)),X1))),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f5743,f395])).
% 77.22/10.16 fof(f5760,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|~relation(relation_dom_restriction(X1,X2))|relation_dom_restriction(X1,X2)=relation_dom_restriction(X0,X3)|in(sk0_2(X3,relation_dom_restriction(X1,X2),X0),X3)|~relation(X1)|in(ordered_pair(sk0_2(X3,relation_dom_restriction(X1,X2),X0),sk0_3(X3,relation_dom_restriction(X1,X2),X0)),X1))),
% 77.22/10.16 inference(resolution,[status(thm)],[f214,f824])).
% 77.22/10.16 fof(f5761,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|relation_dom_restriction(X1,X2)=relation_dom_restriction(X0,X3)|in(sk0_2(X3,relation_dom_restriction(X1,X2),X0),X3)|~relation(X1)|in(ordered_pair(sk0_2(X3,relation_dom_restriction(X1,X2),X0),sk0_3(X3,relation_dom_restriction(X1,X2),X0)),X1))),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f5760,f395])).
% 77.22/10.16 fof(f5762,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|~relation(relation_dom_restriction(X1,X2))|relation_dom_restriction(X1,X2)=relation_dom_restriction(X0,X3)|in(sk0_2(X3,relation_dom_restriction(X1,X2),X0),X3)|~relation(X1)|in(sk0_2(X3,relation_dom_restriction(X1,X2),X0),X2))),
% 77.22/10.16 inference(resolution,[status(thm)],[f214,f804])).
% 77.22/10.16 fof(f5763,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|relation_dom_restriction(X1,X2)=relation_dom_restriction(X0,X3)|in(sk0_2(X3,relation_dom_restriction(X1,X2),X0),X3)|~relation(X1)|in(sk0_2(X3,relation_dom_restriction(X1,X2),X0),X2))),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f5762,f395])).
% 77.22/10.16 fof(f5766,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_dom_restriction(X0,X2)|in(sk0_2(X2,X1,X0),X2)|~relation(X1)|in(sk0_2(X2,X1,X0),relation_dom(X1)))),
% 77.22/10.16 inference(resolution,[status(thm)],[f214,f772])).
% 77.22/10.16 fof(f5767,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_dom_restriction(X0,X2)|in(sk0_2(X2,X1,X0),X2)|in(sk0_2(X2,X1,X0),relation_dom(X1)))),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f5766])).
% 77.22/10.16 fof(f5769,plain,(
% 77.22/10.16 spl0_126 <=> ~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|in(sk0_2(X1,empty_set,X0),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5770,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|in(sk0_2(X1,empty_set,X0),X1)|~spl0_126)),
% 77.22/10.16 inference(component_clause,[status(thm)],[f5769])).
% 77.22/10.16 fof(f5772,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|~relation(empty_set)|empty_set=relation_dom_restriction(X0,X1)|in(sk0_2(X1,empty_set,X0),X1))),
% 77.22/10.16 inference(resolution,[status(thm)],[f214,f757])).
% 77.22/10.16 fof(f5773,plain,(
% 77.22/10.16 spl0_126|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5772,f5769,f799])).
% 77.22/10.16 fof(f5776,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_dom_restriction(X0,X2)|in(sk0_2(X2,X1,X0),X2)|~in(X1,ordered_pair(sk0_2(X2,X1,X0),sk0_3(X2,X1,X0))))),
% 77.22/10.16 inference(resolution,[status(thm)],[f214,f183])).
% 77.22/10.16 fof(f5781,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|~relation(relation_dom_restriction(X1,X2))|relation_dom_restriction(X1,X2)=relation_dom_restriction(X0,X3)|in(ordered_pair(sk0_2(X3,relation_dom_restriction(X1,X2),X0),sk0_3(X3,relation_dom_restriction(X1,X2),X0)),X0)|~relation(X1)|in(ordered_pair(sk0_2(X3,relation_dom_restriction(X1,X2),X0),sk0_3(X3,relation_dom_restriction(X1,X2),X0)),X1))),
% 77.22/10.16 inference(resolution,[status(thm)],[f215,f824])).
% 77.22/10.16 fof(f5782,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|relation_dom_restriction(X1,X2)=relation_dom_restriction(X0,X3)|in(ordered_pair(sk0_2(X3,relation_dom_restriction(X1,X2),X0),sk0_3(X3,relation_dom_restriction(X1,X2),X0)),X0)|~relation(X1)|in(ordered_pair(sk0_2(X3,relation_dom_restriction(X1,X2),X0),sk0_3(X3,relation_dom_restriction(X1,X2),X0)),X1))),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f5781,f395])).
% 77.22/10.16 fof(f5783,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|~relation(relation_dom_restriction(X1,X2))|relation_dom_restriction(X1,X2)=relation_dom_restriction(X0,X3)|in(ordered_pair(sk0_2(X3,relation_dom_restriction(X1,X2),X0),sk0_3(X3,relation_dom_restriction(X1,X2),X0)),X0)|~relation(X1)|in(sk0_2(X3,relation_dom_restriction(X1,X2),X0),X2))),
% 77.22/10.16 inference(resolution,[status(thm)],[f215,f804])).
% 77.22/10.16 fof(f5784,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|relation_dom_restriction(X1,X2)=relation_dom_restriction(X0,X3)|in(ordered_pair(sk0_2(X3,relation_dom_restriction(X1,X2),X0),sk0_3(X3,relation_dom_restriction(X1,X2),X0)),X0)|~relation(X1)|in(sk0_2(X3,relation_dom_restriction(X1,X2),X0),X2))),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f5783,f395])).
% 77.22/10.16 fof(f5787,plain,(
% 77.22/10.16 ![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)),X0)|~relation(X1)|in(sk0_2(X2,X1,X0),relation_dom(X1)))),
% 77.22/10.16 inference(resolution,[status(thm)],[f215,f772])).
% 77.22/10.16 fof(f5788,plain,(
% 77.22/10.16 ![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)),X0)|in(sk0_2(X2,X1,X0),relation_dom(X1)))),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f5787])).
% 77.22/10.16 fof(f5790,plain,(
% 77.22/10.16 spl0_127 <=> ~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,empty_set,X0),sk0_3(X1,empty_set,X0)),X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5791,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,empty_set,X0),sk0_3(X1,empty_set,X0)),X0)|~spl0_127)),
% 77.22/10.16 inference(component_clause,[status(thm)],[f5790])).
% 77.22/10.16 fof(f5793,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|~relation(empty_set)|empty_set=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,empty_set,X0),sk0_3(X1,empty_set,X0)),X0))),
% 77.22/10.16 inference(resolution,[status(thm)],[f215,f757])).
% 77.22/10.16 fof(f5794,plain,(
% 77.22/10.16 spl0_127|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5793,f5790,f799])).
% 77.22/10.16 fof(f5797,plain,(
% 77.22/10.16 ![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)),X0)|~in(X1,ordered_pair(sk0_2(X2,X1,X0),sk0_3(X2,X1,X0))))),
% 77.22/10.16 inference(resolution,[status(thm)],[f215,f183])).
% 77.22/10.16 fof(f5798,plain,(
% 77.22/10.16 $false|~spl0_10|~spl0_24|~spl0_38),
% 77.22/10.16 inference(resolution,[status(thm)],[f5500,f762])).
% 77.22/10.16 fof(f5799,plain,(
% 77.22/10.16 ~spl0_10|~spl0_24|~spl0_38),
% 77.22/10.16 inference(contradiction_clause,[status(thm)],[f5798])).
% 77.22/10.16 fof(f5801,plain,(
% 77.22/10.16 $false|~spl0_10|~spl0_24|~spl0_40),
% 77.22/10.16 inference(resolution,[status(thm)],[f5502,f762])).
% 77.22/10.16 fof(f5802,plain,(
% 77.22/10.16 ~spl0_10|~spl0_24|~spl0_40),
% 77.22/10.16 inference(contradiction_clause,[status(thm)],[f5801])).
% 77.22/10.16 fof(f5804,plain,(
% 77.22/10.16 $false|~spl0_10|~spl0_24|~spl0_71),
% 77.22/10.16 inference(resolution,[status(thm)],[f5504,f762])).
% 77.22/10.16 fof(f5805,plain,(
% 77.22/10.16 ~spl0_10|~spl0_24|~spl0_71),
% 77.22/10.16 inference(contradiction_clause,[status(thm)],[f5804])).
% 77.22/10.16 fof(f5809,plain,(
% 77.22/10.16 ![X0,X1]: (relation_dom_restriction(X0,singleton(X1))=empty_set|~relation(X0)|sk0_0(empty_set,relation_dom_restriction(X0,singleton(X1)))=X1|~spl0_10)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5525,f755])).
% 77.22/10.16 fof(f5812,plain,(
% 77.22/10.16 ![X0,X1]: (relation_dom_restriction(X0,X1)=empty_set|~relation(X0)|~in(X1,sk0_0(empty_set,relation_dom_restriction(X0,X1)))|~spl0_10)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5525,f183])).
% 77.22/10.16 fof(f5813,plain,(
% 77.22/10.16 spl0_128 <=> relation_dom_restriction(empty_set,X0)=empty_set|in(sk0_0(empty_set,empty_set),X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5816,plain,(
% 77.22/10.16 ![X0]: (relation_dom_restriction(empty_set,X0)=empty_set|~relation(empty_set)|in(sk0_0(empty_set,empty_set),X0)|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5525])).
% 77.22/10.16 fof(f5817,plain,(
% 77.22/10.16 spl0_128|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5816,f5813,f799,f2097,f3762])).
% 77.22/10.16 fof(f5818,plain,(
% 77.22/10.16 spl0_129 <=> proper_subset(empty_set,empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5836,plain,(
% 77.22/10.16 spl0_131 <=> relation_dom_restriction(empty_set,X0)=empty_set|~in(X0,sk0_0(empty_set,empty_set))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5839,plain,(
% 77.22/10.16 ![X0]: (relation_dom_restriction(empty_set,X0)=empty_set|~relation(empty_set)|~in(X0,sk0_0(empty_set,empty_set))|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5812])).
% 77.22/10.16 fof(f5840,plain,(
% 77.22/10.16 spl0_131|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5839,f5836,f799,f2097,f3762])).
% 77.22/10.16 fof(f5841,plain,(
% 77.22/10.16 spl0_132 <=> relation_dom_restriction(empty_set,singleton(X0))=empty_set|sk0_0(empty_set,empty_set)=X0),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5844,plain,(
% 77.22/10.16 ![X0]: (relation_dom_restriction(empty_set,singleton(X0))=empty_set|~relation(empty_set)|sk0_0(empty_set,empty_set)=X0|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5809])).
% 77.22/10.16 fof(f5845,plain,(
% 77.22/10.16 spl0_132|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5844,f5841,f799,f2097,f3762])).
% 77.22/10.16 fof(f5846,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|empty_set=relation_dom_restriction(X0,singleton(X1))|sk0_2(singleton(X1),empty_set,X0)=X1|~spl0_126)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5770,f755])).
% 77.22/10.16 fof(f5852,plain,(
% 77.22/10.16 spl0_133 <=> empty_set=identity_relation(singleton(X0))|in(sk0_0(singleton(X0),empty_set),singleton(X0))|~in(empty_set,ordered_pair(X0,sk0_1(singleton(X0),empty_set)))|empty_set=identity_relation(singleton(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5855,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=identity_relation(singleton(X0))|in(sk0_0(singleton(X0),empty_set),singleton(X0))|~in(empty_set,ordered_pair(X0,sk0_1(singleton(X0),empty_set)))|empty_set=identity_relation(singleton(X0))|~spl0_12)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5724,f3397])).
% 77.22/10.16 fof(f5856,plain,(
% 77.22/10.16 ~spl0_4|spl0_133|~spl0_12),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5855,f799,f5852,f3390])).
% 77.22/10.16 fof(f5857,plain,(
% 77.22/10.16 spl0_134 <=> empty_set=identity_relation(singleton(X0))|in(sk0_0(singleton(X0),empty_set),singleton(X0))|in(X0,relation_dom(empty_set))|empty_set=identity_relation(singleton(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5860,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=identity_relation(singleton(X0))|in(sk0_0(singleton(X0),empty_set),singleton(X0))|in(X0,relation_dom(empty_set))|empty_set=identity_relation(singleton(X0))|~spl0_12)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5724,f3389])).
% 77.22/10.16 fof(f5861,plain,(
% 77.22/10.16 ~spl0_4|spl0_134|~spl0_12),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5860,f799,f5857,f3390])).
% 77.22/10.16 fof(f5862,plain,(
% 77.22/10.16 spl0_135 <=> empty_set=identity_relation(singleton(X0))|in(ordered_pair(X0,sk0_1(singleton(X0),empty_set)),empty_set)|sk0_0(singleton(X0),empty_set)=sk0_1(singleton(X0),empty_set)|empty_set=identity_relation(singleton(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5865,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=identity_relation(singleton(X0))|in(ordered_pair(X0,sk0_1(singleton(X0),empty_set)),empty_set)|sk0_0(singleton(X0),empty_set)=sk0_1(singleton(X0),empty_set)|empty_set=identity_relation(singleton(X0))|~spl0_12)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5724,f200])).
% 77.22/10.16 fof(f5866,plain,(
% 77.22/10.16 ~spl0_4|spl0_135|~spl0_12),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5865,f799,f5862,f3390])).
% 77.22/10.16 fof(f5867,plain,(
% 77.22/10.16 spl0_136 <=> empty_set=identity_relation(singleton(X0))|in(ordered_pair(X0,sk0_1(singleton(X0),empty_set)),empty_set)|in(sk0_0(singleton(X0),empty_set),singleton(X0))|empty_set=identity_relation(singleton(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5870,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=identity_relation(singleton(X0))|in(ordered_pair(X0,sk0_1(singleton(X0),empty_set)),empty_set)|in(sk0_0(singleton(X0),empty_set),singleton(X0))|empty_set=identity_relation(singleton(X0))|~spl0_12)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5724,f199])).
% 77.22/10.16 fof(f5871,plain,(
% 77.22/10.16 ~spl0_4|spl0_136|~spl0_12),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5870,f799,f5867,f3390])).
% 77.22/10.16 fof(f5872,plain,(
% 77.22/10.16 spl0_137 <=> empty_set=identity_relation(singleton(X0))|~in(ordered_pair(X0,sk0_1(singleton(X0),empty_set)),empty_set)|~in(sk0_0(singleton(X0),empty_set),singleton(X0))|~sk0_0(singleton(X0),empty_set)=sk0_1(singleton(X0),empty_set)|empty_set=identity_relation(singleton(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5875,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=identity_relation(singleton(X0))|~in(ordered_pair(X0,sk0_1(singleton(X0),empty_set)),empty_set)|~in(sk0_0(singleton(X0),empty_set),singleton(X0))|~sk0_0(singleton(X0),empty_set)=sk0_1(singleton(X0),empty_set)|empty_set=identity_relation(singleton(X0))|~spl0_12)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5724,f198])).
% 77.22/10.16 fof(f5876,plain,(
% 77.22/10.16 ~spl0_4|spl0_137|~spl0_12),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5875,f799,f5872,f3390])).
% 77.22/10.16 fof(f5879,plain,(
% 77.22/10.16 spl0_138 <=> empty_set=relation_dom_restriction(empty_set,X0)|empty_set=relation_dom_restriction(empty_set,X0)|~in(sk0_2(X0,empty_set,empty_set),X0)|~in(ordered_pair(sk0_2(X0,empty_set,empty_set),sk0_3(X0,empty_set,empty_set)),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5882,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=relation_dom_restriction(empty_set,X0)|~relation(empty_set)|~relation(empty_set)|empty_set=relation_dom_restriction(empty_set,X0)|~in(sk0_2(X0,empty_set,empty_set),X0)|~in(ordered_pair(sk0_2(X0,empty_set,empty_set),sk0_3(X0,empty_set,empty_set)),empty_set)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5791,f213])).
% 77.22/10.16 fof(f5883,plain,(
% 77.22/10.16 ~spl0_4|spl0_138|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5882,f799,f5879,f5790])).
% 77.22/10.16 fof(f5884,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|sk0_2(X1,empty_set,identity_relation(X0))=sk0_3(X1,empty_set,identity_relation(X0))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5791,f2169])).
% 77.22/10.16 fof(f5885,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(identity_relation(X0),X1)|sk0_2(X1,empty_set,identity_relation(X0))=sk0_3(X1,empty_set,identity_relation(X0))|~spl0_127)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f5884,f388])).
% 77.22/10.16 fof(f5886,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|in(sk0_2(X1,empty_set,identity_relation(X0)),X0)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5791,f1313])).
% 77.22/10.16 fof(f5887,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(identity_relation(X0),X1)|in(sk0_2(X1,empty_set,identity_relation(X0)),X0)|~spl0_127)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f5886,f388])).
% 77.22/10.16 fof(f5888,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(relation_dom_restriction(X0,X1))|empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(X0,X1)),sk0_3(X2,empty_set,relation_dom_restriction(X0,X1))),X0)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5791,f824])).
% 77.22/10.16 fof(f5889,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(X0,X1)),sk0_3(X2,empty_set,relation_dom_restriction(X0,X1))),X0)|~spl0_127)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f5888,f395])).
% 77.22/10.16 fof(f5890,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(relation_dom_restriction(X0,X1))|empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|in(sk0_2(X2,empty_set,relation_dom_restriction(X0,X1)),X1)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5791,f804])).
% 77.22/10.16 fof(f5891,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|in(sk0_2(X2,empty_set,relation_dom_restriction(X0,X1)),X1)|~spl0_127)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f5890,f395])).
% 77.22/10.16 fof(f5892,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,X2))|~relation(X0)|~in(sk0_2(X1,empty_set,X0),X2)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5791,f3343])).
% 77.22/10.16 fof(f5893,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,X2))|~in(sk0_2(X1,empty_set,X0),X2)|~spl0_127)),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f5892])).
% 77.22/10.16 fof(f5894,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~relation(X0)|in(sk0_2(X1,empty_set,X0),relation_dom(X0))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5791,f772])).
% 77.22/10.16 fof(f5895,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|in(sk0_2(X1,empty_set,X0),relation_dom(X0))|~spl0_127)),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f5894])).
% 77.22/10.16 fof(f5897,plain,(
% 77.22/10.16 spl0_139 <=> empty_set=relation_dom_restriction(empty_set,X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5900,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=relation_dom_restriction(empty_set,X0)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5791,f757])).
% 77.22/10.16 fof(f5901,plain,(
% 77.22/10.16 ~spl0_4|spl0_139|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5900,f799,f5897,f5790])).
% 77.22/10.16 fof(f5903,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|sk0_2(X1,empty_set,identity_relation(singleton(X0)))=X0|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5887,f755])).
% 77.22/10.16 fof(f5915,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~in(relation_dom(X0),sk0_2(X1,empty_set,X0))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5895,f183])).
% 77.22/10.16 fof(f5917,plain,(
% 77.22/10.16 spl0_140 <=> empty_set=relation_dom_restriction(empty_set,X0)|in(sk0_2(X0,empty_set,empty_set),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5920,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=relation_dom_restriction(empty_set,X0)|in(sk0_2(X0,empty_set,empty_set),empty_set)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f5895])).
% 77.22/10.16 fof(f5921,plain,(
% 77.22/10.16 ~spl0_4|spl0_140|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5920,f799,f5917,f5790])).
% 77.22/10.16 fof(f5922,plain,(
% 77.22/10.16 spl0_141 <=> empty(relation_dom(empty_set))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5924,plain,(
% 77.22/10.16 ~empty(relation_dom(empty_set))|spl0_141),
% 77.22/10.16 inference(component_clause,[status(thm)],[f5922])).
% 77.22/10.16 fof(f5928,plain,(
% 77.22/10.16 spl0_142 <=> empty_set=relation_dom_restriction(empty_set,X0)|~in(empty_set,sk0_2(X0,empty_set,empty_set))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5931,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=relation_dom_restriction(empty_set,X0)|~in(empty_set,sk0_2(X0,empty_set,empty_set))|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f5915])).
% 77.22/10.16 fof(f5932,plain,(
% 77.22/10.16 ~spl0_4|spl0_142|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5931,f799,f5928,f5790])).
% 77.22/10.16 fof(f5933,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),singleton(X1))|X0=X1|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),singleton(X1))|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5903,f5846])).
% 77.22/10.16 fof(f5934,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),singleton(X1))|X0=X1|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f5933])).
% 77.22/10.16 fof(f5935,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(identity_relation(singleton(X0)),singleton(X1))|X0=X1|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f5934,f388])).
% 77.22/10.16 fof(f5952,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,X1)|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5903,f5770])).
% 77.22/10.16 fof(f5953,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,X1)|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f5952])).
% 77.22/10.16 fof(f5954,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,X1)|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f5953,f388])).
% 77.22/10.16 fof(f5955,plain,(
% 77.22/10.16 spl0_143 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(ordered_pair(X0,sk0_3(X1,empty_set,identity_relation(singleton(X0)))),empty_set)|in(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),sk0_3(X1,empty_set,identity_relation(singleton(X0)))),identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5958,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|~relation(empty_set)|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(ordered_pair(X0,sk0_3(X1,empty_set,identity_relation(singleton(X0)))),empty_set)|in(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),sk0_3(X1,empty_set,identity_relation(singleton(X0)))),identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5903,f215])).
% 77.22/10.16 fof(f5959,plain,(
% 77.22/10.16 spl0_143|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5958,f5955,f799,f5790])).
% 77.22/10.16 fof(f5960,plain,(
% 77.22/10.16 spl0_144 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(ordered_pair(X0,sk0_3(X1,empty_set,identity_relation(singleton(X0)))),empty_set)|in(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X1)|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5963,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|~relation(empty_set)|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(ordered_pair(X0,sk0_3(X1,empty_set,identity_relation(singleton(X0)))),empty_set)|in(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X1)|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5903,f214])).
% 77.22/10.16 fof(f5964,plain,(
% 77.22/10.16 spl0_144|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5963,f5960,f799,f5790])).
% 77.22/10.16 fof(f5965,plain,(
% 77.22/10.16 spl0_145 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~in(ordered_pair(X0,sk0_3(X1,empty_set,identity_relation(singleton(X0)))),empty_set)|~in(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X1)|~in(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),sk0_3(X1,empty_set,identity_relation(singleton(X0)))),identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5968,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|~relation(empty_set)|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~in(ordered_pair(X0,sk0_3(X1,empty_set,identity_relation(singleton(X0)))),empty_set)|~in(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X1)|~in(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),sk0_3(X1,empty_set,identity_relation(singleton(X0)))),identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5903,f213])).
% 77.22/10.16 fof(f5969,plain,(
% 77.22/10.16 spl0_145|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5968,f5965,f799,f5790])).
% 77.22/10.16 fof(f5976,plain,(
% 77.22/10.16 spl0_147 <=> ~in(X0,singleton(X1))|~in(X0,singleton(X2))|X2=X1),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f5977,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~in(X0,singleton(X1))|~in(X0,singleton(X2))|X2=X1|~spl0_147)),
% 77.22/10.16 inference(component_clause,[status(thm)],[f5976])).
% 77.22/10.16 fof(f5979,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~empty(empty_set)|~in(X0,singleton(X1))|~in(X0,singleton(X2))|X2=X1|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5935,f3704])).
% 77.22/10.16 fof(f5980,plain,(
% 77.22/10.16 ~spl0_3|spl0_147|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f5979,f794,f5976,f5769,f5790])).
% 77.22/10.16 fof(f6530,plain,(
% 77.22/10.16 spl0_156 <=> ~in(X0,X1)|~in(X0,singleton(X2))|in(X2,X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f6531,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~in(X0,X1)|~in(X0,singleton(X2))|in(X2,X1)|~spl0_156)),
% 77.22/10.16 inference(component_clause,[status(thm)],[f6530])).
% 77.22/10.16 fof(f6533,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~empty(empty_set)|~in(X0,X1)|~in(X0,singleton(X2))|in(X2,X1)|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5954,f3704])).
% 77.22/10.16 fof(f6534,plain,(
% 77.22/10.16 ~spl0_3|spl0_156|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f6533,f794,f6530,f5769,f5790])).
% 77.22/10.16 fof(f7072,plain,(
% 77.22/10.16 ![X0,X1]: (~in(sk0_0(singleton(X0),empty_set),singleton(X1))|X0=X1|empty_set=identity_relation(singleton(X0))|~spl0_147|~spl0_12)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5977,f3391])).
% 77.22/10.16 fof(f7085,plain,(
% 77.22/10.16 ![X0,X1]: (~in(sk0_0(singleton(X0),empty_set),X1)|in(X0,X1)|empty_set=identity_relation(singleton(X0))|~spl0_156|~spl0_12)),
% 77.22/10.16 inference(resolution,[status(thm)],[f6531,f3391])).
% 77.22/10.16 fof(f7097,plain,(
% 77.22/10.16 spl0_162 <=> ~relation(identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_2(X1,empty_set,identity_relation(X0))),empty_set)|in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_3(X1,empty_set,identity_relation(X0))),identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7100,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(X0))|~relation(empty_set)|empty_set=relation_dom_restriction(identity_relation(X0),X1)|in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_2(X1,empty_set,identity_relation(X0))),empty_set)|in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_3(X1,empty_set,identity_relation(X0))),identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5885,f215])).
% 77.22/10.16 fof(f7101,plain,(
% 77.22/10.16 spl0_162|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7100,f7097,f799,f5790])).
% 77.22/10.16 fof(f7102,plain,(
% 77.22/10.16 spl0_163 <=> ~relation(identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_2(X1,empty_set,identity_relation(X0))),empty_set)|in(sk0_2(X1,empty_set,identity_relation(X0)),X1)|empty_set=relation_dom_restriction(identity_relation(X0),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7105,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(X0))|~relation(empty_set)|empty_set=relation_dom_restriction(identity_relation(X0),X1)|in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_2(X1,empty_set,identity_relation(X0))),empty_set)|in(sk0_2(X1,empty_set,identity_relation(X0)),X1)|empty_set=relation_dom_restriction(identity_relation(X0),X1)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5885,f214])).
% 77.22/10.16 fof(f7106,plain,(
% 77.22/10.16 spl0_163|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7105,f7102,f799,f5790])).
% 77.22/10.16 fof(f7107,plain,(
% 77.22/10.16 spl0_164 <=> ~relation(identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|~in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_2(X1,empty_set,identity_relation(X0))),empty_set)|~in(sk0_2(X1,empty_set,identity_relation(X0)),X1)|~in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_3(X1,empty_set,identity_relation(X0))),identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7110,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(X0))|~relation(empty_set)|empty_set=relation_dom_restriction(identity_relation(X0),X1)|~in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_2(X1,empty_set,identity_relation(X0))),empty_set)|~in(sk0_2(X1,empty_set,identity_relation(X0)),X1)|~in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_3(X1,empty_set,identity_relation(X0))),identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5885,f213])).
% 77.22/10.16 fof(f7111,plain,(
% 77.22/10.16 spl0_164|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7110,f7107,f799,f5790])).
% 77.22/10.16 fof(f7113,plain,(
% 77.22/10.16 spl0_165 <=> empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~relation(relation_dom_restriction(empty_set,X0))|empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~in(sk0_2(X1,empty_set,relation_dom_restriction(empty_set,X0)),X1)|~in(ordered_pair(sk0_2(X1,empty_set,relation_dom_restriction(empty_set,X0)),sk0_3(X1,empty_set,relation_dom_restriction(empty_set,X0))),relation_dom_restriction(empty_set,X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7116,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~relation(empty_set)|~relation(relation_dom_restriction(empty_set,X0))|~relation(empty_set)|empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~in(sk0_2(X1,empty_set,relation_dom_restriction(empty_set,X0)),X1)|~in(ordered_pair(sk0_2(X1,empty_set,relation_dom_restriction(empty_set,X0)),sk0_3(X1,empty_set,relation_dom_restriction(empty_set,X0))),relation_dom_restriction(empty_set,X0))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5889,f213])).
% 77.22/10.16 fof(f7117,plain,(
% 77.22/10.16 spl0_165|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7116,f7113,f799,f5790])).
% 77.22/10.16 fof(f7118,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|~relation(identity_relation(X0))|sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))=sk0_3(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5889,f2169])).
% 77.22/10.16 fof(f7119,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))=sk0_3(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))|~spl0_127)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f7118,f388])).
% 77.22/10.16 fof(f7122,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)|~relation(relation_dom_restriction(X0,X1))|~relation(X0)|in(ordered_pair(sk0_2(X3,empty_set,relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),sk0_3(X3,empty_set,relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X0)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5889,f824])).
% 77.22/10.16 fof(f7123,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)|~relation(X0)|in(ordered_pair(sk0_2(X3,empty_set,relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),sk0_3(X3,empty_set,relation_dom_restriction(relation_dom_restriction(X0,X1),X2))),X0)|~spl0_127)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f7122,f395])).
% 77.22/10.16 fof(f7124,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)|~relation(relation_dom_restriction(X0,X1))|~relation(X0)|in(sk0_2(X3,empty_set,relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X1)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5889,f804])).
% 77.22/10.16 fof(f7125,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(X0,X1),X2),X3)|~relation(X0)|in(sk0_2(X3,empty_set,relation_dom_restriction(relation_dom_restriction(X0,X1),X2)),X1)|~spl0_127)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f7124,f395])).
% 77.22/10.16 fof(f7126,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|~empty(relation_dom_restriction(X0,X3))|~relation(X0)|~in(sk0_2(X2,empty_set,relation_dom_restriction(X0,X1)),X3)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5889,f3343])).
% 77.22/10.16 fof(f7127,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|~empty(relation_dom_restriction(X0,X3))|~in(sk0_2(X2,empty_set,relation_dom_restriction(X0,X1)),X3)|~spl0_127)),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f7126])).
% 77.22/10.16 fof(f7128,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|~relation(X0)|in(sk0_2(X2,empty_set,relation_dom_restriction(X0,X1)),relation_dom(X0))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5889,f772])).
% 77.22/10.16 fof(f7129,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|in(sk0_2(X2,empty_set,relation_dom_restriction(X0,X1)),relation_dom(X0))|~spl0_127)),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f7128])).
% 77.22/10.16 fof(f7133,plain,(
% 77.22/10.16 spl0_166 <=> empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7136,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~relation(empty_set)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5889,f757])).
% 77.22/10.16 fof(f7137,plain,(
% 77.22/10.16 spl0_166|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7136,f7133,f799,f5790])).
% 77.22/10.16 fof(f7140,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|~in(X0,ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(X0,X1)),sk0_3(X2,empty_set,relation_dom_restriction(X0,X1))))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5889,f183])).
% 77.22/10.16 fof(f7145,plain,(
% 77.22/10.16 spl0_167 <=> empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|in(ordered_pair(sk0_2(X1,empty_set,empty_set),sk0_3(X1,empty_set,relation_dom_restriction(empty_set,X0))),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7148,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~relation(empty_set)|in(ordered_pair(sk0_2(X1,empty_set,empty_set),sk0_3(X1,empty_set,relation_dom_restriction(empty_set,X0))),empty_set)|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5889])).
% 77.22/10.16 fof(f7149,plain,(
% 77.22/10.16 spl0_167|~spl0_4|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7148,f7145,f799,f5790,f2097,f3762])).
% 77.22/10.16 fof(f7154,plain,(
% 77.22/10.16 spl0_168 <=> empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|in(ordered_pair(sk0_2(X1,empty_set,relation_dom_restriction(empty_set,X0)),sk0_3(X1,empty_set,empty_set)),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7157,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~relation(empty_set)|in(ordered_pair(sk0_2(X1,empty_set,relation_dom_restriction(empty_set,X0)),sk0_3(X1,empty_set,empty_set)),empty_set)|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5889])).
% 77.22/10.16 fof(f7158,plain,(
% 77.22/10.16 spl0_168|~spl0_4|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7157,f7154,f799,f5790,f2097,f3762])).
% 77.22/10.16 fof(f7165,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(X0,singleton(X1)),X2)|~relation(X0)|sk0_2(X2,empty_set,relation_dom_restriction(X0,singleton(X1)))=X1|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5891,f755])).
% 77.22/10.16 fof(f7168,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|~in(X1,sk0_2(X2,empty_set,relation_dom_restriction(X0,X1)))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5891,f183])).
% 77.22/10.16 fof(f7173,plain,(
% 77.22/10.16 spl0_169 <=> empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|in(sk0_2(X1,empty_set,empty_set),X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7176,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~relation(empty_set)|in(sk0_2(X1,empty_set,empty_set),X0)|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5891])).
% 77.22/10.16 fof(f7177,plain,(
% 77.22/10.16 spl0_169|~spl0_4|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7176,f7173,f799,f5790,f2097,f3762])).
% 77.22/10.16 fof(f7182,plain,(
% 77.22/10.16 ![X0,X1]: (~proper_subset(identity_relation(X0),X1)|~relation(X1)|X0=relation_dom(X1)|~relation(X1)|~subset(X1,identity_relation(X0)))),
% 77.22/10.16 inference(resolution,[status(thm)],[f5733,f3423])).
% 77.22/10.16 fof(f7183,plain,(
% 77.22/10.16 ![X0,X1]: (~proper_subset(identity_relation(X0),X1)|~relation(X1)|X0=relation_dom(X1)|~subset(X1,identity_relation(X0)))),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f7182])).
% 77.22/10.16 fof(f7184,plain,(
% 77.22/10.16 ![X0,X1]: (~proper_subset(identity_relation(X0),X1)|~relation(X1)|relation_dom(X1)=X0|~subset(relation_dom(X1),X0))),
% 77.22/10.16 inference(resolution,[status(thm)],[f5733,f205])).
% 77.22/10.16 fof(f7186,plain,(
% 77.22/10.16 spl0_170 <=> ~proper_subset(identity_relation(X0),empty_set)|subset(X0,empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7189,plain,(
% 77.22/10.16 ![X0]: (~proper_subset(identity_relation(X0),empty_set)|~relation(empty_set)|subset(X0,empty_set))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f5733])).
% 77.22/10.16 fof(f7190,plain,(
% 77.22/10.16 spl0_170|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7189,f7186,f799])).
% 77.22/10.16 fof(f7193,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|X0=identity_relation(singleton(X1))|~empty(relation_dom(X0))|sk0_0(singleton(X1),X0)=X1)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5691,f755])).
% 77.22/10.16 fof(f7196,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|~empty(relation_dom(X0))|~empty(X1))),
% 77.22/10.16 inference(resolution,[status(thm)],[f5691,f688])).
% 77.22/10.16 fof(f7197,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|~empty(relation_dom(X0))|~in(X1,sk0_0(X1,X0)))),
% 77.22/10.16 inference(resolution,[status(thm)],[f5691,f183])).
% 77.22/10.16 fof(f7198,plain,(
% 77.22/10.16 spl0_171 <=> empty_set=identity_relation(singleton(X0))|in(X0,singleton(X0))|empty_set=identity_relation(singleton(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7201,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=identity_relation(singleton(X0))|in(X0,singleton(X0))|~empty(relation_dom(empty_set))|empty_set=identity_relation(singleton(X0))|~spl0_12)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5724,f5691])).
% 77.22/10.16 fof(f7202,plain,(
% 77.22/10.16 ~spl0_4|spl0_171|~spl0_141|~spl0_12),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7201,f799,f7198,f5922,f3390])).
% 77.22/10.16 fof(f7203,plain,(
% 77.22/10.16 ~empty(empty_set)|spl0_141),
% 77.22/10.16 inference(forward_demodulation,[status(thm)],[f654,f5924])).
% 77.22/10.16 fof(f7204,plain,(
% 77.22/10.16 $false|spl0_141),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f7203,f404])).
% 77.22/10.16 fof(f7205,plain,(
% 77.22/10.16 spl0_141),
% 77.22/10.16 inference(contradiction_clause,[status(thm)],[f7204])).
% 77.22/10.16 fof(f7208,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|~empty(X1)|~empty(X0))),
% 77.22/10.16 inference(resolution,[status(thm)],[f7196,f425])).
% 77.22/10.16 fof(f7209,plain,(
% 77.22/10.16 ![X0,X1]: (X0=identity_relation(X1)|~empty(X1)|~empty(X0))),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f7208,f187])).
% 77.22/10.16 fof(f7210,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(X0))|identity_relation(X0)=identity_relation(X1)|~empty(X0)|~empty(X1))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f678,f7196])).
% 77.22/10.16 fof(f7211,plain,(
% 77.22/10.16 ![X0,X1]: (identity_relation(X0)=identity_relation(X1)|~empty(X0)|~empty(X1))),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f7210,f388])).
% 77.22/10.16 fof(f7230,plain,(
% 77.22/10.16 spl0_172 <=> relation_dom_restriction(empty_set,X0)=identity_relation(X1)|sk0_0(X1,relation_dom_restriction(empty_set,X0))=sk0_1(X1,relation_dom_restriction(empty_set,X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7233,plain,(
% 77.22/10.16 ![X0,X1]: (relation_dom_restriction(empty_set,X0)=identity_relation(X1)|sk0_0(X1,relation_dom_restriction(empty_set,X0))=sk0_1(X1,relation_dom_restriction(empty_set,X0))|~relation(empty_set))),
% 77.22/10.16 inference(resolution,[status(thm)],[f3404,f757])).
% 77.22/10.16 fof(f7234,plain,(
% 77.22/10.16 spl0_172|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7233,f7230,f799])).
% 77.22/10.16 fof(f7242,plain,(
% 77.22/10.16 spl0_173 <=> relation_dom_restriction(empty_set,X0)=identity_relation(X1)|sk0_0(X1,relation_dom_restriction(empty_set,X0))=sk0_1(X1,relation_dom_restriction(empty_set,X0))|in(ordered_pair(sk0_0(X1,empty_set),sk0_1(X1,relation_dom_restriction(empty_set,X0))),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7245,plain,(
% 77.22/10.16 ![X0,X1]: (relation_dom_restriction(empty_set,X0)=identity_relation(X1)|sk0_0(X1,relation_dom_restriction(empty_set,X0))=sk0_1(X1,relation_dom_restriction(empty_set,X0))|~relation(empty_set)|in(ordered_pair(sk0_0(X1,empty_set),sk0_1(X1,relation_dom_restriction(empty_set,X0))),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f3404])).
% 77.22/10.16 fof(f7246,plain,(
% 77.22/10.16 spl0_173|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7245,f7242,f799,f2097,f3762])).
% 77.22/10.16 fof(f7251,plain,(
% 77.22/10.16 spl0_174 <=> relation_dom_restriction(empty_set,X0)=identity_relation(X1)|sk0_0(X1,relation_dom_restriction(empty_set,X0))=sk0_1(X1,relation_dom_restriction(empty_set,X0))|in(ordered_pair(sk0_0(X1,relation_dom_restriction(empty_set,X0)),sk0_1(X1,empty_set)),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7254,plain,(
% 77.22/10.16 ![X0,X1]: (relation_dom_restriction(empty_set,X0)=identity_relation(X1)|sk0_0(X1,relation_dom_restriction(empty_set,X0))=sk0_1(X1,relation_dom_restriction(empty_set,X0))|~relation(empty_set)|in(ordered_pair(sk0_0(X1,relation_dom_restriction(empty_set,X0)),sk0_1(X1,empty_set)),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f3404])).
% 77.22/10.16 fof(f7255,plain,(
% 77.22/10.16 spl0_174|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7254,f7251,f799,f2097,f3762])).
% 77.22/10.16 fof(f7264,plain,(
% 77.22/10.16 spl0_175 <=> X0=empty_set|~empty(X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7269,plain,(
% 77.22/10.16 ![X0]: (empty_set=identity_relation(X0)|~empty(empty_set)|~empty(X0)|~spl0_10)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f2098,f7211])).
% 77.22/10.16 fof(f7270,plain,(
% 77.22/10.16 spl0_122|~spl0_3|~spl0_10),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7269,f5534,f794,f2097])).
% 77.22/10.16 fof(f7292,plain,(
% 77.22/10.16 spl0_176 <=> ~proper_subset(X0,relation_dom(empty_set))|X0=relation_dom(empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7295,plain,(
% 77.22/10.16 ![X0]: (~proper_subset(X0,relation_dom(empty_set))|X0=relation_dom(empty_set)|~relation(empty_set))),
% 77.22/10.16 inference(resolution,[status(thm)],[f5734,f563])).
% 77.22/10.16 fof(f7296,plain,(
% 77.22/10.16 spl0_176|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7295,f7292,f799])).
% 77.22/10.16 fof(f7298,plain,(
% 77.22/10.16 ![X0,X1]: (~proper_subset(X0,relation_dom(X1))|X0=relation_dom(X1)|~relation(X1)|~proper_subset(X1,identity_relation(X0)))),
% 77.22/10.16 inference(resolution,[status(thm)],[f5734,f376])).
% 77.22/10.16 fof(f7305,plain,(
% 77.22/10.16 spl0_177 <=> ~proper_subset(identity_relation(X0),empty_set)|X0=relation_dom(empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7308,plain,(
% 77.22/10.16 ![X0]: (~proper_subset(identity_relation(X0),empty_set)|~relation(empty_set)|X0=relation_dom(empty_set))),
% 77.22/10.16 inference(resolution,[status(thm)],[f7183,f563])).
% 77.22/10.16 fof(f7309,plain,(
% 77.22/10.16 spl0_177|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7308,f7305,f799])).
% 77.22/10.16 fof(f7330,plain,(
% 77.22/10.16 spl0_178 <=> ~proper_subset(identity_relation(X0),empty_set)|relation_dom(empty_set)=X0|~subset(empty_set,X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7333,plain,(
% 77.22/10.16 ![X0]: (~proper_subset(identity_relation(X0),empty_set)|~relation(empty_set)|relation_dom(empty_set)=X0|~subset(empty_set,X0))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f7184])).
% 77.22/10.16 fof(f7334,plain,(
% 77.22/10.16 spl0_178|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7333,f7330,f799])).
% 77.22/10.16 fof(f7335,plain,(
% 77.22/10.16 spl0_179 <=> empty_set=identity_relation(singleton(X0))|~in(singleton(X0),X0)|empty_set=identity_relation(singleton(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7338,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=identity_relation(singleton(X0))|~empty(relation_dom(empty_set))|~in(singleton(X0),X0)|empty_set=identity_relation(singleton(X0))|~spl0_12)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5724,f7197])).
% 77.22/10.16 fof(f7339,plain,(
% 77.22/10.16 ~spl0_4|spl0_179|~spl0_141|~spl0_12),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7338,f799,f7335,f5922,f3390])).
% 77.22/10.16 fof(f7360,plain,(
% 77.22/10.16 spl0_180 <=> ~proper_subset(X0,empty_set)|X0=relation_dom(empty_set)|~proper_subset(empty_set,identity_relation(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7363,plain,(
% 77.22/10.16 ![X0]: (~proper_subset(X0,empty_set)|X0=relation_dom(empty_set)|~relation(empty_set)|~proper_subset(empty_set,identity_relation(X0)))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f7298])).
% 77.22/10.16 fof(f7364,plain,(
% 77.22/10.16 spl0_180|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7363,f7360,f799])).
% 77.22/10.16 fof(f7369,plain,(
% 77.22/10.16 spl0_181 <=> relation_dom_restriction(empty_set,X0)=identity_relation(X1)|sk0_0(X1,relation_dom_restriction(empty_set,X0))=sk0_1(X1,empty_set)|in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7372,plain,(
% 77.22/10.16 ![X0,X1]: (relation_dom_restriction(empty_set,X0)=identity_relation(X1)|sk0_0(X1,relation_dom_restriction(empty_set,X0))=sk0_1(X1,empty_set)|~relation(empty_set)|in(sk0_0(X1,relation_dom_restriction(empty_set,X0)),X0)|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f3406])).
% 77.22/10.16 fof(f7373,plain,(
% 77.22/10.16 spl0_181|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7372,f7369,f799,f2097,f3762])).
% 77.22/10.16 fof(f7376,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|sk0_0(X1,X0)=sk0_1(X1,X0)|~empty(relation_dom(X0)))),
% 77.22/10.16 inference(resolution,[status(thm)],[f3408,f688])).
% 77.22/10.16 fof(f7378,plain,(
% 77.22/10.16 spl0_182 <=> empty_set=identity_relation(singleton(X0))|sk0_0(singleton(X0),empty_set)=sk0_1(singleton(X0),empty_set)|in(X0,relation_dom(empty_set))|empty_set=identity_relation(singleton(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7381,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=identity_relation(singleton(X0))|sk0_0(singleton(X0),empty_set)=sk0_1(singleton(X0),empty_set)|in(X0,relation_dom(empty_set))|empty_set=identity_relation(singleton(X0))|~spl0_12)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5724,f3408])).
% 77.22/10.16 fof(f7382,plain,(
% 77.22/10.16 ~spl0_4|spl0_182|~spl0_12),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7381,f799,f7378,f3390])).
% 77.22/10.16 fof(f7385,plain,(
% 77.22/10.16 spl0_183 <=> empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|in(sk0_0(X0,empty_set),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7388,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|in(sk0_0(X0,empty_set),empty_set))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f3408])).
% 77.22/10.16 fof(f7389,plain,(
% 77.22/10.16 ~spl0_4|spl0_183),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7388,f799,f7385])).
% 77.22/10.16 fof(f7394,plain,(
% 77.22/10.16 ![X0]: (element(empty_set,powerset(X0)))),
% 77.22/10.16 inference(forward_demodulation,[status(thm)],[f2086,f494])).
% 77.22/10.16 fof(f7395,plain,(
% 77.22/10.16 element(empty_set,singleton(empty_set))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f540,f7394])).
% 77.22/10.16 fof(f7403,plain,(
% 77.22/10.16 ![X0]: (~proper_subset(empty_set,relation_dom(X0))|~relation(X0)|~subset(X0,empty_set)|~spl0_7)),
% 77.22/10.16 inference(resolution,[status(thm)],[f657,f820])).
% 77.22/10.16 fof(f7404,plain,(
% 77.22/10.16 ![X0,X1]: (~proper_subset(relation_dom(X0),relation_dom(X1))|~relation(X1)|~relation(X0)|~subset(X1,X0))),
% 77.22/10.16 inference(resolution,[status(thm)],[f657,f548])).
% 77.22/10.16 fof(f7405,plain,(
% 77.22/10.16 ![X0,X1]: (~proper_subset(X0,relation_dom(X1))|~relation(X1)|~subset(X1,identity_relation(X0)))),
% 77.22/10.16 inference(resolution,[status(thm)],[f657,f2105])).
% 77.22/10.16 fof(f7410,plain,(
% 77.22/10.16 ![X0,X1]: (~proper_subset(relation_dom(X0),X1)|~proper_subset(identity_relation(X1),X0)|~relation(X0))),
% 77.22/10.16 inference(resolution,[status(thm)],[f657,f5733])).
% 77.22/10.16 fof(f7432,plain,(
% 77.22/10.16 ![X0,X1]: (relation(singleton(X0))|~in(sk0_6(singleton(X0)),X1)|in(X0,X1)|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f221,f6531])).
% 77.22/10.16 fof(f7459,plain,(
% 77.22/10.16 ![X0]: (~proper_subset(empty_set,X0)|~relation(identity_relation(X0))|~subset(identity_relation(X0),empty_set)|~spl0_7)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f678,f7403])).
% 77.22/10.16 fof(f7460,plain,(
% 77.22/10.16 ![X0]: (~proper_subset(empty_set,X0)|~subset(identity_relation(X0),empty_set)|~spl0_7)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f7459,f388])).
% 77.22/10.16 fof(f7463,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(relation_dom_restriction(X0,X1))|empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~empty(relation_dom_restriction(relation_dom_restriction(X0,X1),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f5891])).
% 77.22/10.16 fof(f7464,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(relation_dom_restriction(X0,X1))|empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~empty(relation_dom_restriction(relation_dom_restriction(X0,X1),X1))|~relation(X0)|~spl0_127)),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f7463])).
% 77.22/10.16 fof(f7465,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~empty(relation_dom_restriction(relation_dom_restriction(X0,X1),X1))|~relation(X0)|~spl0_127)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f7464,f395])).
% 77.22/10.16 fof(f7466,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|~empty(relation_dom_restriction(identity_relation(X0),X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f5887])).
% 77.22/10.16 fof(f7467,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|~empty(relation_dom_restriction(identity_relation(X0),X0))|~spl0_127)),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f7466])).
% 77.22/10.16 fof(f7468,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(identity_relation(X0),X1)|~empty(relation_dom_restriction(identity_relation(X0),X0))|~spl0_127)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f7467,f388])).
% 77.22/10.16 fof(f7469,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(X0)))|~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f5895])).
% 77.22/10.16 fof(f7470,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(X0)))|~spl0_127)),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f7469])).
% 77.22/10.16 fof(f7473,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,unordered_pair(X2,sk0_2(X1,empty_set,X0))))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f762])).
% 77.22/10.16 fof(f7474,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,unordered_pair(sk0_2(X1,empty_set,X0),X2)))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f761])).
% 77.22/10.16 fof(f7475,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,sk0_56(sk0_2(X1,empty_set,X0))))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f716])).
% 77.22/10.16 fof(f7476,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,sk0_47(sk0_2(X1,empty_set,X0))))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f527])).
% 77.22/10.16 fof(f7477,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,singleton(sk0_2(X1,empty_set,X0))))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f756])).
% 77.22/10.16 fof(f7478,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(unordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X2),X3))))|~relation(unordered_pair(X3,ordered_pair(sk0_2(X1,empty_set,X0),X2)))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f3639])).
% 77.22/10.16 fof(f7479,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(unordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X2),X3))))|~relation(unordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X2),X3))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f3277])).
% 77.22/10.16 fof(f7480,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(unordered_pair(X2,ordered_pair(sk0_2(X1,empty_set,X0),X3)))))|~relation(unordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X3),X2))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f3589])).
% 77.22/10.16 fof(f7481,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(unordered_pair(X2,ordered_pair(sk0_2(X1,empty_set,X0),X3)))))|~relation(unordered_pair(X2,ordered_pair(sk0_2(X1,empty_set,X0),X3)))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f3324])).
% 77.22/10.16 fof(f7482,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(sk0_56(ordered_pair(sk0_2(X1,empty_set,X0),X2)))))|~relation(sk0_56(ordered_pair(sk0_2(X1,empty_set,X0),X2)))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f2153])).
% 77.22/10.16 fof(f7483,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(sk0_47(ordered_pair(sk0_2(X1,empty_set,X0),X2)))))|~relation(sk0_47(ordered_pair(sk0_2(X1,empty_set,X0),X2)))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f2080])).
% 77.22/10.16 fof(f7484,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(singleton(ordered_pair(sk0_2(X1,empty_set,X0),X2)))))|~relation(singleton(ordered_pair(sk0_2(X1,empty_set,X0),X2)))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f1309])).
% 77.22/10.16 fof(f7485,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom(sk0_56(ordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X2),X3))))))|~relation(sk0_56(ordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X2),X3)))|~relation(relation_dom(sk0_56(ordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X2),X3))))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f2417])).
% 77.22/10.16 fof(f7486,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom(sk0_47(ordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X2),X3))))))|~relation(sk0_47(ordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X2),X3)))|~relation(relation_dom(sk0_47(ordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X2),X3))))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f2353])).
% 77.22/10.16 fof(f7487,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X2),X3))))))|~relation(singleton(ordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X2),X3)))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X2),X3))))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f1360])).
% 77.22/10.16 fof(f7506,plain,(
% 77.22/10.16 ![X0,X1,X2,X3,X4]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom_restriction(X2,X3))))|~relation(X2)|~in(sk0_2(X1,empty_set,X0),X3)|~in(ordered_pair(sk0_2(X1,empty_set,X0),X4),X2)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5893,f827])).
% 77.22/10.16 fof(f7513,plain,(
% 77.22/10.16 spl0_184 <=> empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|X0=X0),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7516,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|X0=X0|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5935,f7468])).
% 77.22/10.16 fof(f7517,plain,(
% 77.22/10.16 spl0_184|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7516,f7513,f794,f5769,f5790])).
% 77.22/10.16 fof(f7518,plain,(
% 77.22/10.16 spl0_185 <=> empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,singleton(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7521,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|in(X0,singleton(X0))|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5954,f7468])).
% 77.22/10.16 fof(f7522,plain,(
% 77.22/10.16 spl0_185|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7521,f7518,f794,f5769,f5790])).
% 77.22/10.16 fof(f7523,plain,(
% 77.22/10.16 spl0_186 <=> empty_set=relation_dom_restriction(identity_relation(empty_set),X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7526,plain,(
% 77.22/10.16 spl0_187 <=> empty(relation_dom_restriction(empty_set,empty_set))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f7528,plain,(
% 77.22/10.16 ~empty(relation_dom_restriction(empty_set,empty_set))|spl0_187),
% 77.22/10.16 inference(component_clause,[status(thm)],[f7526])).
% 77.22/10.16 fof(f7529,plain,(
% 77.22/10.16 ![X0]: (empty_set=relation_dom_restriction(identity_relation(empty_set),X0)|~empty(relation_dom_restriction(empty_set,empty_set))|~spl0_127|~spl0_10)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f2098,f7468])).
% 77.22/10.16 fof(f7530,plain,(
% 77.22/10.16 spl0_186|~spl0_187|~spl0_127|~spl0_10),
% 77.22/10.16 inference(split_clause,[status(thm)],[f7529,f7523,f7526,f5790,f2097])).
% 77.22/10.16 fof(f7531,plain,(
% 77.22/10.16 ~empty(empty_set)|~spl0_10|~spl0_24|spl0_187),
% 77.22/10.16 inference(forward_demodulation,[status(thm)],[f3771,f7528])).
% 77.22/10.16 fof(f7532,plain,(
% 77.22/10.16 $false|~spl0_10|~spl0_24|spl0_187),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f7531,f404])).
% 77.22/10.16 fof(f7533,plain,(
% 77.22/10.16 ~spl0_10|~spl0_24|spl0_187),
% 77.22/10.16 inference(contradiction_clause,[status(thm)],[f7532])).
% 77.22/10.16 fof(f7538,plain,(
% 77.22/10.16 ![X0,X1]: (relation(singleton(X0))|in(X0,unordered_pair(X1,sk0_6(singleton(X0))))|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7432,f762])).
% 77.22/10.16 fof(f7539,plain,(
% 77.22/10.16 ![X0,X1]: (relation(singleton(X0))|in(X0,unordered_pair(sk0_6(singleton(X0)),X1))|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7432,f761])).
% 77.22/10.16 fof(f7540,plain,(
% 77.22/10.16 ![X0]: (relation(singleton(X0))|in(X0,sk0_56(sk0_6(singleton(X0))))|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7432,f716])).
% 77.22/10.16 fof(f7541,plain,(
% 77.22/10.16 ![X0]: (relation(singleton(X0))|in(X0,sk0_47(sk0_6(singleton(X0))))|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7432,f527])).
% 77.22/10.16 fof(f7542,plain,(
% 77.22/10.16 ![X0]: (relation(singleton(X0))|in(X0,singleton(sk0_6(singleton(X0))))|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7432,f756])).
% 77.22/10.16 fof(f7717,plain,(
% 77.22/10.16 ![X0,X1]: (relation(singleton(X0))|~in(X0,X1)|in(sk0_6(singleton(X0)),X1)|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7542,f6531])).
% 77.22/10.16 fof(f7719,plain,(
% 77.22/10.16 ![X0]: (relation(singleton(X0))|X0=sk0_6(singleton(X0))|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7542,f755])).
% 77.22/10.16 fof(f7722,plain,(
% 77.22/10.16 ![X0,X1]: (relation(singleton(ordered_pair(X0,X1)))|relation(singleton(ordered_pair(X0,X1)))|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7719,f222])).
% 77.22/10.16 fof(f7723,plain,(
% 77.22/10.16 ![X0,X1]: (relation(singleton(ordered_pair(X0,X1)))|~spl0_156)),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f7722])).
% 77.22/10.16 fof(f7744,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~relation(X0)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2))),X1)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2))),X3),X0)|~spl0_156)),
% 77.22/10.16 inference(backward_subsumption_resolution,[status(thm)],[f1332,f7723])).
% 77.22/10.16 fof(f7748,plain,(
% 77.22/10.16 ![X0,X1,X2,X3,X4]: (~relation(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3))))|~relation(X0)|~in(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)))),X1)|~in(ordered_pair(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(X0,X1)),X2),X3)))),X4),X0)|~spl0_156)),
% 77.22/10.16 inference(backward_subsumption_resolution,[status(thm)],[f1392,f7723])).
% 77.22/10.16 fof(f7766,plain,(
% 77.22/10.16 ![X0,X1]: (~in(relation_dom(singleton(ordered_pair(X0,X1))),X0)|~spl0_156)),
% 77.22/10.16 inference(backward_subsumption_resolution,[status(thm)],[f1361,f7723])).
% 77.22/10.16 fof(f7767,plain,(
% 77.22/10.16 ![X0,X1]: (in(X0,relation_dom(singleton(ordered_pair(X0,X1))))|~spl0_156)),
% 77.22/10.16 inference(backward_subsumption_resolution,[status(thm)],[f1309,f7723])).
% 77.22/10.16 fof(f7769,plain,(
% 77.22/10.16 ![X0,X1]: (relation(singleton(X0))|in(X0,relation_dom(singleton(ordered_pair(sk0_6(singleton(X0)),X1))))|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7767,f7432])).
% 77.22/10.16 fof(f8017,plain,(
% 77.22/10.16 spl0_188 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,relation_dom(identity_relation(singleton(X0))))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8020,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|in(X0,relation_dom(identity_relation(singleton(X0))))|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5954,f7470])).
% 77.22/10.16 fof(f8021,plain,(
% 77.22/10.16 spl0_188|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8020,f8017,f794,f5769,f5790])).
% 77.22/10.16 fof(f8085,plain,(
% 77.22/10.16 spl0_189 <=> ~proper_subset(X0,relation_dom(empty_set))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8088,plain,(
% 77.22/10.16 ![X0]: (~proper_subset(X0,relation_dom(empty_set))|~relation(empty_set))),
% 77.22/10.16 inference(resolution,[status(thm)],[f7405,f563])).
% 77.22/10.16 fof(f8089,plain,(
% 77.22/10.16 spl0_189|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8088,f8085,f799])).
% 77.22/10.16 fof(f8091,plain,(
% 77.22/10.16 ![X0,X1]: (~proper_subset(X0,relation_dom(X1))|~relation(X1)|~proper_subset(X1,identity_relation(X0)))),
% 77.22/10.16 inference(resolution,[status(thm)],[f7405,f376])).
% 77.22/10.16 fof(f8097,plain,(
% 77.22/10.16 spl0_190 <=> ~proper_subset(empty_set,X0)|~proper_subset(identity_relation(X0),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8100,plain,(
% 77.22/10.16 ![X0]: (~proper_subset(empty_set,X0)|~proper_subset(identity_relation(X0),empty_set)|~relation(empty_set))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f7410])).
% 77.22/10.16 fof(f8101,plain,(
% 77.22/10.16 spl0_190|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8100,f8097,f799])).
% 77.22/10.16 fof(f8104,plain,(
% 77.22/10.16 spl0_191 <=> empty_set=identity_relation(singleton(X0))|sk0_0(singleton(X0),empty_set)=sk0_1(singleton(X0),empty_set)|~in(empty_set,ordered_pair(X0,sk0_1(singleton(X0),empty_set)))|empty_set=identity_relation(singleton(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8107,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=identity_relation(singleton(X0))|sk0_0(singleton(X0),empty_set)=sk0_1(singleton(X0),empty_set)|~in(empty_set,ordered_pair(X0,sk0_1(singleton(X0),empty_set)))|empty_set=identity_relation(singleton(X0))|~spl0_12)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5724,f3416])).
% 77.22/10.16 fof(f8108,plain,(
% 77.22/10.16 ~spl0_4|spl0_191|~spl0_12),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8107,f799,f8104,f3390])).
% 77.22/10.16 fof(f8109,plain,(
% 77.22/10.16 spl0_192 <=> empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|~in(empty_set,ordered_pair(sk0_0(X0,empty_set),sk0_0(X0,empty_set)))|empty_set=identity_relation(X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8112,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|~in(empty_set,ordered_pair(sk0_0(X0,empty_set),sk0_0(X0,empty_set)))|empty_set=identity_relation(X0)|~spl0_13)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3410,f3416])).
% 77.22/10.16 fof(f8113,plain,(
% 77.22/10.16 ~spl0_4|spl0_192|~spl0_13),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8112,f799,f8109,f3409])).
% 77.22/10.16 fof(f8115,plain,(
% 77.22/10.16 spl0_193 <=> ~proper_subset(X0,empty_set)|~proper_subset(empty_set,identity_relation(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8118,plain,(
% 77.22/10.16 ![X0]: (~proper_subset(X0,empty_set)|~relation(empty_set)|~proper_subset(empty_set,identity_relation(X0)))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f8091])).
% 77.22/10.16 fof(f8119,plain,(
% 77.22/10.16 spl0_193|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8118,f8115,f799])).
% 77.22/10.16 fof(f8121,plain,(
% 77.22/10.16 spl0_194 <=> ~proper_subset(empty_set,relation_dom(X0))|~relation(X0)|~subset(X0,empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8124,plain,(
% 77.22/10.16 ![X0]: (~proper_subset(empty_set,relation_dom(X0))|~relation(X0)|~relation(empty_set)|~subset(X0,empty_set))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f7404])).
% 77.22/10.16 fof(f8125,plain,(
% 77.22/10.16 spl0_194|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8124,f8121,f799])).
% 77.22/10.16 fof(f8128,plain,(
% 77.22/10.16 spl0_195 <=> ~proper_subset(relation_dom(X0),empty_set)|~relation(X0)|~subset(empty_set,X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8131,plain,(
% 77.22/10.16 ![X0]: (~proper_subset(relation_dom(X0),empty_set)|~relation(empty_set)|~relation(X0)|~subset(empty_set,X0))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f7404])).
% 77.22/10.16 fof(f8132,plain,(
% 77.22/10.16 spl0_195|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8131,f8128,f799])).
% 77.22/10.16 fof(f8213,plain,(
% 77.22/10.16 ![X0,X1]: (relation_dom(X0)=relation_dom(X1)|~relation(X1)|~relation(X0)|~subset(X1,X0)|~relation(X0)|~relation(X1)|~subset(X0,X1))),
% 77.22/10.16 inference(resolution,[status(thm)],[f3422,f548])).
% 77.22/10.16 fof(f8214,plain,(
% 77.22/10.16 ![X0,X1]: (relation_dom(X0)=relation_dom(X1)|~relation(X1)|~relation(X0)|~subset(X1,X0)|~subset(X0,X1))),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f8213])).
% 77.22/10.16 fof(f8228,plain,(
% 77.22/10.16 spl0_196 <=> relation_dom(empty_set)=relation_dom(X0)|~subset(empty_set,relation_dom(X0))|~relation(X0)|~subset(X0,empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8231,plain,(
% 77.22/10.16 ![X0]: (relation_dom(empty_set)=relation_dom(X0)|~subset(empty_set,relation_dom(X0))|~relation(X0)|~relation(empty_set)|~subset(X0,empty_set))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f3422])).
% 77.22/10.16 fof(f8232,plain,(
% 77.22/10.16 spl0_196|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8231,f8228,f799])).
% 77.22/10.16 fof(f8233,plain,(
% 77.22/10.16 ![X0,X1]: (relation_dom(X0)=relation_dom(identity_relation(X1))|~subset(relation_dom(X0),X1)|~relation(identity_relation(X1))|~relation(X0)|~subset(identity_relation(X1),X0))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f678,f3422])).
% 77.22/10.16 fof(f8234,plain,(
% 77.22/10.16 ![X0,X1]: (relation_dom(X0)=X1|~subset(relation_dom(X0),X1)|~relation(identity_relation(X1))|~relation(X0)|~subset(identity_relation(X1),X0))),
% 77.22/10.16 inference(forward_demodulation,[status(thm)],[f678,f8233])).
% 77.22/10.16 fof(f8235,plain,(
% 77.22/10.16 ![X0,X1]: (relation_dom(X0)=X1|~subset(relation_dom(X0),X1)|~relation(X0)|~subset(identity_relation(X1),X0))),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f8234,f388])).
% 77.22/10.16 fof(f8236,plain,(
% 77.22/10.16 spl0_197 <=> relation_dom(X0)=relation_dom(empty_set)|~subset(relation_dom(X0),empty_set)|~relation(X0)|~subset(empty_set,X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8239,plain,(
% 77.22/10.16 ![X0]: (relation_dom(X0)=relation_dom(empty_set)|~subset(relation_dom(X0),empty_set)|~relation(empty_set)|~relation(X0)|~subset(empty_set,X0))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f3422])).
% 77.22/10.16 fof(f8240,plain,(
% 77.22/10.16 spl0_197|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8239,f8236,f799])).
% 77.22/10.16 fof(f8258,plain,(
% 77.22/10.16 spl0_198 <=> ~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|~in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X2)|~in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),X0)|~in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X1)|~in(ordered_pair(sk0_2(X2,empty_set,X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8261,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|~in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X2)|~in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),X0)|~relation(empty_set)|~in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X1)|~in(ordered_pair(sk0_2(X2,empty_set,X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5744])).
% 77.22/10.16 fof(f8262,plain,(
% 77.22/10.16 spl0_198|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8261,f8258,f799,f2097,f3762])).
% 77.22/10.16 fof(f8267,plain,(
% 77.22/10.16 spl0_199 <=> ~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|~in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X2)|~in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),X0)|~in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X1)|~in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,empty_set,X0)),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8270,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|~in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X2)|~in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),X0)|~relation(empty_set)|~in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X1)|~in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,empty_set,X0)),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5744])).
% 77.22/10.16 fof(f8271,plain,(
% 77.22/10.16 spl0_199|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8270,f8267,f799,f2097,f3762])).
% 77.22/10.16 fof(f8292,plain,(
% 77.22/10.16 ![X0,X1]: (~empty(X0)|X0=relation_dom(X1)|~empty(X1))),
% 77.22/10.16 inference(resolution,[status(thm)],[f704,f425])).
% 77.22/10.16 fof(f8324,plain,(
% 77.22/10.16 ![X0,X1,X2]: (X0=empty_set|~in(X1,X0)|in(ordered_pair(sk0_2(X2,empty_set,set_meet(X0)),sk0_3(X2,empty_set,set_meet(X0))),X1)|~relation(set_meet(X0))|empty_set=relation_dom_restriction(set_meet(X0),X2)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f750,f5791])).
% 77.22/10.16 fof(f8491,plain,(
% 77.22/10.16 spl0_204 <=> X0=X0|empty_set=identity_relation(singleton(X0))|empty_set=identity_relation(singleton(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8510,plain,(
% 77.22/10.16 ![X0,X1]: (in(X0,unordered_pair(X1,sk0_0(singleton(X0),empty_set)))|empty_set=identity_relation(singleton(X0))|~spl0_156|~spl0_12)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7085,f762])).
% 77.22/10.16 fof(f8511,plain,(
% 77.22/10.16 ![X0,X1]: (in(X0,unordered_pair(sk0_0(singleton(X0),empty_set),X1))|empty_set=identity_relation(singleton(X0))|~spl0_156|~spl0_12)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7085,f761])).
% 77.22/10.16 fof(f8513,plain,(
% 77.22/10.16 ![X0]: (in(X0,sk0_56(sk0_0(singleton(X0),empty_set)))|empty_set=identity_relation(singleton(X0))|~spl0_156|~spl0_12)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7085,f716])).
% 77.22/10.16 fof(f8515,plain,(
% 77.22/10.16 ![X0]: (in(X0,sk0_47(sk0_0(singleton(X0),empty_set)))|empty_set=identity_relation(singleton(X0))|~spl0_156|~spl0_12)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7085,f527])).
% 77.22/10.16 fof(f8517,plain,(
% 77.22/10.16 ![X0]: (in(X0,singleton(sk0_0(singleton(X0),empty_set)))|empty_set=identity_relation(singleton(X0))|~spl0_156|~spl0_12)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7085,f756])).
% 77.22/10.16 fof(f8591,plain,(
% 77.22/10.16 ![X0]: (empty_set=identity_relation(singleton(X0))|~in(sk0_56(sk0_0(singleton(X0),empty_set)),X0)|~spl0_156|~spl0_12)),
% 77.22/10.16 inference(resolution,[status(thm)],[f8513,f183])).
% 77.22/10.16 fof(f8643,plain,(
% 77.22/10.16 ![X0]: (empty_set=identity_relation(singleton(X0))|~in(sk0_47(sk0_0(singleton(X0),empty_set)),X0)|~spl0_156|~spl0_12)),
% 77.22/10.16 inference(resolution,[status(thm)],[f8515,f183])).
% 77.22/10.16 fof(f8697,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=identity_relation(singleton(X0))|~in(X0,X1)|in(sk0_0(singleton(X0),empty_set),X1)|~spl0_12|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f8517,f6531])).
% 77.22/10.16 fof(f8742,plain,(
% 77.22/10.16 spl0_205 <=> ~relation(relation_dom_restriction(identity_relation(X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),empty_set)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_3(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),relation_dom_restriction(identity_relation(X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8745,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(relation_dom_restriction(identity_relation(X0),X1))|~relation(empty_set)|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),empty_set)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_3(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),relation_dom_restriction(identity_relation(X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f7119,f215])).
% 77.22/10.16 fof(f8746,plain,(
% 77.22/10.16 spl0_205|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8745,f8742,f799,f5790])).
% 77.22/10.16 fof(f8747,plain,(
% 77.22/10.16 spl0_206 <=> ~relation(relation_dom_restriction(identity_relation(X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),empty_set)|in(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),X2)|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8750,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(relation_dom_restriction(identity_relation(X0),X1))|~relation(empty_set)|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),empty_set)|in(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),X2)|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f7119,f214])).
% 77.22/10.16 fof(f8751,plain,(
% 77.22/10.16 spl0_206|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8750,f8747,f799,f5790])).
% 77.22/10.16 fof(f8752,plain,(
% 77.22/10.16 spl0_207 <=> ~relation(relation_dom_restriction(identity_relation(X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|~in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),empty_set)|~in(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),X2)|~in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_3(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),relation_dom_restriction(identity_relation(X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8755,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(relation_dom_restriction(identity_relation(X0),X1))|~relation(empty_set)|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|~in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),empty_set)|~in(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),X2)|~in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_3(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),relation_dom_restriction(identity_relation(X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f7119,f213])).
% 77.22/10.16 fof(f8756,plain,(
% 77.22/10.16 spl0_207|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8755,f8752,f799,f5790])).
% 77.22/10.16 fof(f8846,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=identity_relation(singleton(X0))|~in(unordered_pair(X1,sk0_0(singleton(X0),empty_set)),X0)|~spl0_156|~spl0_12)),
% 77.22/10.16 inference(resolution,[status(thm)],[f8510,f183])).
% 77.22/10.16 fof(f8901,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=identity_relation(singleton(X0))|~in(unordered_pair(sk0_0(singleton(X0),empty_set),X1),X0)|~spl0_156|~spl0_12)),
% 77.22/10.16 inference(resolution,[status(thm)],[f8511,f183])).
% 77.22/10.16 fof(f8945,plain,(
% 77.22/10.16 spl0_208 <=> empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~empty(relation_dom_restriction(empty_set,X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f8948,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~empty(relation_dom_restriction(empty_set,X0))|~relation(empty_set)|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f7465])).
% 77.22/10.16 fof(f8949,plain,(
% 77.22/10.16 spl0_208|~spl0_4|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f8948,f8945,f799,f5790,f2097,f3762])).
% 77.22/10.16 fof(f8972,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=identity_relation(singleton(X0))|~in(X0,X1)|~in(X1,sk0_0(singleton(X0),empty_set))|~spl0_12|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f8697,f183])).
% 77.22/10.16 fof(f9033,plain,(
% 77.22/10.16 spl0_212 <=> X0=empty_set|~in(empty_set,X0)|~relation(set_meet(X0))|empty_set=relation_dom_restriction(set_meet(X0),X1)|~relation(set_meet(X0))|empty_set=relation_dom_restriction(set_meet(X0),X1)|~in(sk0_2(X1,empty_set,set_meet(X0)),X1)|~in(ordered_pair(sk0_2(X1,empty_set,set_meet(X0)),sk0_3(X1,empty_set,set_meet(X0))),set_meet(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9036,plain,(
% 77.22/10.16 ![X0,X1]: (X0=empty_set|~in(empty_set,X0)|~relation(set_meet(X0))|empty_set=relation_dom_restriction(set_meet(X0),X1)|~relation(set_meet(X0))|~relation(empty_set)|empty_set=relation_dom_restriction(set_meet(X0),X1)|~in(sk0_2(X1,empty_set,set_meet(X0)),X1)|~in(ordered_pair(sk0_2(X1,empty_set,set_meet(X0)),sk0_3(X1,empty_set,set_meet(X0))),set_meet(X0))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f8324,f213])).
% 77.22/10.16 fof(f9037,plain,(
% 77.22/10.16 spl0_212|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9036,f9033,f799,f5790])).
% 77.22/10.16 fof(f9085,plain,(
% 77.22/10.16 spl0_216 <=> ~empty(X0)|~relation(X0)|X0=empty_set),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9088,plain,(
% 77.22/10.16 ![X0]: (~empty(empty_set)|~empty(X0)|~relation(X0)|X0=empty_set)),
% 77.22/10.16 inference(resolution,[status(thm)],[f8292,f662])).
% 77.22/10.16 fof(f9089,plain,(
% 77.22/10.16 ~spl0_3|spl0_216),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9088,f794,f9085])).
% 77.22/10.16 fof(f9090,plain,(
% 77.22/10.16 ![X0,X1]: (~empty(X0)|X0=X1|~empty(identity_relation(X1)))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f678,f8292])).
% 77.22/10.16 fof(f9091,plain,(
% 77.22/10.16 ![X0]: (~empty(X0)|X0=empty_set|~empty(empty_set))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f8292])).
% 77.22/10.16 fof(f9092,plain,(
% 77.22/10.16 spl0_175|~spl0_3),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9091,f7264,f794])).
% 77.22/10.16 fof(f9127,plain,(
% 77.22/10.16 spl0_217 <=> ~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X2)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9130,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X2)|~relation(empty_set))),
% 77.22/10.16 inference(resolution,[status(thm)],[f5761,f757])).
% 77.22/10.16 fof(f9131,plain,(
% 77.22/10.16 spl0_217|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9130,f9127,f799])).
% 77.22/10.16 fof(f9139,plain,(
% 77.22/10.16 spl0_218 <=> ~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X2)|in(ordered_pair(sk0_2(X2,empty_set,X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9142,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X2)|~relation(empty_set)|in(ordered_pair(sk0_2(X2,empty_set,X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5761])).
% 77.22/10.16 fof(f9143,plain,(
% 77.22/10.16 spl0_218|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9142,f9139,f799,f2097,f3762])).
% 77.22/10.16 fof(f9148,plain,(
% 77.22/10.16 spl0_219 <=> ~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X2)|in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,empty_set,X0)),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9151,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X2)|~relation(empty_set)|in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,empty_set,X0)),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5761])).
% 77.22/10.16 fof(f9152,plain,(
% 77.22/10.16 spl0_219|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9151,f9148,f799,f2097,f3762])).
% 77.22/10.16 fof(f9188,plain,(
% 77.22/10.16 spl0_220 <=> relation_dom(empty_set)=X0|~subset(empty_set,X0)|~subset(identity_relation(X0),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9191,plain,(
% 77.22/10.16 ![X0]: (relation_dom(empty_set)=X0|~subset(empty_set,X0)|~relation(empty_set)|~subset(identity_relation(X0),empty_set))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f8235])).
% 77.22/10.16 fof(f9192,plain,(
% 77.22/10.16 spl0_220|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9191,f9188,f799])).
% 77.22/10.16 fof(f9229,plain,(
% 77.22/10.16 spl0_222 <=> ~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(sk0_2(X2,empty_set,X0),X2)|in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9232,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(sk0_2(X2,empty_set,X0),X2)|~relation(empty_set)|in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X1)|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5763])).
% 77.22/10.16 fof(f9233,plain,(
% 77.22/10.16 spl0_222|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9232,f9229,f799,f2097,f3762])).
% 77.22/10.16 fof(f9235,plain,(
% 77.22/10.16 spl0_223 <=> ~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|in(sk0_2(X1,empty_set,X0),X1)|~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(empty_set)))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9238,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|~relation(empty_set)|empty_set=relation_dom_restriction(X0,X1)|in(sk0_2(X1,empty_set,X0),X1)|~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(empty_set)))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f5767,f5893])).
% 77.22/10.16 fof(f9239,plain,(
% 77.22/10.16 spl0_223|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9238,f9235,f799,f5790])).
% 77.22/10.16 fof(f9242,plain,(
% 77.22/10.16 spl0_224 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X1)|in(X0,relation_dom(empty_set))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9245,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|~relation(empty_set)|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X1)|in(X0,relation_dom(empty_set))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5903,f5767])).
% 77.22/10.16 fof(f9246,plain,(
% 77.22/10.16 spl0_224|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9245,f9242,f799,f5790])).
% 77.22/10.16 fof(f9249,plain,(
% 77.22/10.16 spl0_225 <=> ~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|in(sk0_2(X1,empty_set,X0),X1)|in(sk0_2(X1,empty_set,X0),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9252,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|~relation(empty_set)|empty_set=relation_dom_restriction(X0,X1)|in(sk0_2(X1,empty_set,X0),X1)|in(sk0_2(X1,empty_set,X0),empty_set))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f5767])).
% 77.22/10.16 fof(f9253,plain,(
% 77.22/10.16 spl0_225|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9252,f9249,f799])).
% 77.22/10.16 fof(f9272,plain,(
% 77.22/10.16 ![X0,X1]: (disjoint(relation_dom(X0),X1)|~empty(set_difference(relation_dom(X0),X1))|~empty(X0))),
% 77.22/10.16 inference(resolution,[status(thm)],[f693,f8292])).
% 77.22/10.16 fof(f9273,plain,(
% 77.22/10.16 ![X0,X1]: (disjoint(identity_relation(X0),X1)|~empty(X0)|~empty(set_difference(identity_relation(X0),X1)))),
% 77.22/10.16 inference(resolution,[status(thm)],[f693,f7209])).
% 77.22/10.16 fof(f9275,plain,(
% 77.22/10.16 spl0_228 <=> disjoint(empty_set,X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9278,plain,(
% 77.22/10.16 ![X0]: (disjoint(empty_set,X0)|~empty_set=empty_set)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f634,f693])).
% 77.22/10.16 fof(f9279,plain,(
% 77.22/10.16 spl0_228|~spl0_5),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9278,f9275,f807])).
% 77.22/10.16 fof(f9288,plain,(
% 77.22/10.16 spl0_229 <=> ~in(X0,empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9365,plain,(
% 77.22/10.16 spl0_231 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,sk0_56(sk0_2(X1,empty_set,identity_relation(singleton(X0)))))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9368,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|in(X0,sk0_56(sk0_2(X1,empty_set,identity_relation(singleton(X0)))))|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5954,f7475])).
% 77.22/10.16 fof(f9369,plain,(
% 77.22/10.16 spl0_231|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9368,f9365,f794,f5769,f5790])).
% 77.22/10.16 fof(f9372,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(relation_dom_restriction(identity_relation(singleton(X0)),sk0_56(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5903,f7475])).
% 77.22/10.16 fof(f9373,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(relation_dom_restriction(identity_relation(singleton(X0)),sk0_56(X0)))|~spl0_127)),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f9372])).
% 77.22/10.16 fof(f9374,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(relation_dom_restriction(identity_relation(singleton(X0)),sk0_56(X0)))|~spl0_127)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f9373,f388])).
% 77.22/10.16 fof(f9376,plain,(
% 77.22/10.16 spl0_232 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,sk0_47(sk0_2(X1,empty_set,identity_relation(singleton(X0)))))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9379,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|in(X0,sk0_47(sk0_2(X1,empty_set,identity_relation(singleton(X0)))))|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5954,f7476])).
% 77.22/10.16 fof(f9380,plain,(
% 77.22/10.16 spl0_232|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9379,f9376,f794,f5769,f5790])).
% 77.22/10.16 fof(f9383,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(relation_dom_restriction(identity_relation(singleton(X0)),sk0_47(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5903,f7476])).
% 77.22/10.16 fof(f9384,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(relation_dom_restriction(identity_relation(singleton(X0)),sk0_47(X0)))|~spl0_127)),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f9383])).
% 77.22/10.16 fof(f9385,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(relation_dom_restriction(identity_relation(singleton(X0)),sk0_47(X0)))|~spl0_127)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f9384,f388])).
% 77.22/10.16 fof(f9387,plain,(
% 77.22/10.16 spl0_233 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|X0=sk0_2(X1,empty_set,identity_relation(singleton(X0)))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9390,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|X0=sk0_2(X1,empty_set,identity_relation(singleton(X0)))|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5935,f7477])).
% 77.22/10.16 fof(f9391,plain,(
% 77.22/10.16 spl0_233|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9390,f9387,f794,f5769,f5790])).
% 77.22/10.16 fof(f9392,plain,(
% 77.22/10.16 spl0_234 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,singleton(sk0_2(X1,empty_set,identity_relation(singleton(X0)))))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9395,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|in(X0,singleton(sk0_2(X1,empty_set,identity_relation(singleton(X0)))))|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5954,f7477])).
% 77.22/10.16 fof(f9396,plain,(
% 77.22/10.16 spl0_234|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9395,f9392,f794,f5769,f5790])).
% 77.22/10.16 fof(f9410,plain,(
% 77.22/10.16 spl0_235 <=> empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)|~relation(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)|~in(sk0_2(X2,empty_set,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)|~in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),sk0_3(X2,empty_set,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9413,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)|~relation(empty_set)|~relation(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))|~relation(empty_set)|empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)|~in(sk0_2(X2,empty_set,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),X2)|~in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),sk0_3(X2,empty_set,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7123,f213])).
% 77.22/10.16 fof(f9414,plain,(
% 77.22/10.16 spl0_235|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9413,f9410,f799,f5790])).
% 77.22/10.16 fof(f9434,plain,(
% 77.22/10.16 spl0_236 <=> empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9437,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)|~relation(empty_set)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7123,f757])).
% 77.22/10.16 fof(f9438,plain,(
% 77.22/10.16 spl0_236|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9437,f9434,f799,f5790])).
% 77.22/10.16 fof(f9448,plain,(
% 77.22/10.16 spl0_237 <=> empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(empty_set,X1)),sk0_3(X2,empty_set,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9451,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)|~relation(empty_set)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(empty_set,X1)),sk0_3(X2,empty_set,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1))),empty_set)|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f7123])).
% 77.22/10.16 fof(f9452,plain,(
% 77.22/10.16 spl0_237|~spl0_4|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9451,f9448,f799,f5790,f2097,f3762])).
% 77.22/10.16 fof(f9459,plain,(
% 77.22/10.16 spl0_238 <=> empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),sk0_3(X2,empty_set,relation_dom_restriction(empty_set,X1))),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9462,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)|~relation(empty_set)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)),sk0_3(X2,empty_set,relation_dom_restriction(empty_set,X1))),empty_set)|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f7123])).
% 77.22/10.16 fof(f9463,plain,(
% 77.22/10.16 spl0_238|~spl0_4|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9462,f9459,f799,f5790,f2097,f3762])).
% 77.22/10.16 fof(f9496,plain,(
% 77.22/10.16 spl0_239 <=> empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,sk0_56(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9499,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|in(X0,sk0_56(X0))|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5954,f9374])).
% 77.22/10.16 fof(f9500,plain,(
% 77.22/10.16 spl0_239|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9499,f9496,f794,f5769,f5790])).
% 77.22/10.16 fof(f9501,plain,(
% 77.22/10.16 spl0_240 <=> empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,sk0_47(X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9504,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|in(X0,sk0_47(X0))|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5954,f9385])).
% 77.22/10.16 fof(f9505,plain,(
% 77.22/10.16 spl0_240|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9504,f9501,f794,f5769,f5790])).
% 77.22/10.16 fof(f9506,plain,(
% 77.22/10.16 spl0_241 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,unordered_pair(X2,sk0_2(X1,empty_set,identity_relation(singleton(X0)))))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9509,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|in(X0,unordered_pair(X2,sk0_2(X1,empty_set,identity_relation(singleton(X0)))))|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5954,f7473])).
% 77.22/10.16 fof(f9510,plain,(
% 77.22/10.16 spl0_241|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9509,f9506,f794,f5769,f5790])).
% 77.22/10.16 fof(f9538,plain,(
% 77.22/10.16 spl0_242 <=> empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)|in(sk0_2(X2,empty_set,relation_dom_restriction(empty_set,X1)),X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9541,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1),X2)|~relation(empty_set)|in(sk0_2(X2,empty_set,relation_dom_restriction(empty_set,X1)),X0)|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f7125])).
% 77.22/10.16 fof(f9542,plain,(
% 77.22/10.16 spl0_242|~spl0_4|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9541,f9538,f799,f5790,f2097,f3762])).
% 77.22/10.16 fof(f9558,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|~empty(relation_dom_restriction(X0,X2))|~relation(relation_dom_restriction(X0,X1))|empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~spl0_127|~spl0_126)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7127,f5770])).
% 77.22/10.16 fof(f9559,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|~empty(relation_dom_restriction(X0,X2))|~relation(relation_dom_restriction(X0,X1))|~spl0_127|~spl0_126)),
% 77.22/10.16 inference(duplicate_literals_removal,[status(esa)],[f9558])).
% 77.22/10.16 fof(f9560,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|~empty(relation_dom_restriction(X0,X2))|~spl0_127|~spl0_126)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f9559,f395])).
% 77.22/10.16 fof(f9561,plain,(
% 77.22/10.16 spl0_243 <=> empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|~empty(relation_dom_restriction(X0,relation_dom(empty_set)))|~relation(relation_dom_restriction(X0,X1))|empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|in(sk0_2(X2,empty_set,relation_dom_restriction(X0,X1)),X2)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9564,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|~relation(X0)|~empty(relation_dom_restriction(X0,relation_dom(empty_set)))|~relation(relation_dom_restriction(X0,X1))|~relation(empty_set)|empty_set=relation_dom_restriction(relation_dom_restriction(X0,X1),X2)|in(sk0_2(X2,empty_set,relation_dom_restriction(X0,X1)),X2)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f7127,f5767])).
% 77.22/10.16 fof(f9565,plain,(
% 77.22/10.16 spl0_243|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9564,f9561,f799,f5790])).
% 77.22/10.16 fof(f9609,plain,(
% 77.22/10.16 spl0_244 <=> empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~empty(relation_dom_restriction(empty_set,X2))|~in(sk0_2(X1,empty_set,empty_set),X2)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9612,plain,(
% 77.22/10.16 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~relation(empty_set)|~empty(relation_dom_restriction(empty_set,X2))|~in(sk0_2(X1,empty_set,empty_set),X2)|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f7127])).
% 77.22/10.16 fof(f9613,plain,(
% 77.22/10.16 spl0_244|~spl0_4|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9612,f9609,f799,f5790,f2097,f3762])).
% 77.22/10.16 fof(f9638,plain,(
% 77.22/10.16 spl0_247 <=> empty_set=relation_dom_restriction(empty_set,X0)|~empty(relation_dom_restriction(empty_set,X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9641,plain,(
% 77.22/10.16 ![X0]: (empty_set=relation_dom_restriction(empty_set,X0)|~relation(empty_set)|~empty(relation_dom_restriction(empty_set,X0))|~spl0_127|~spl0_126|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f9560])).
% 77.22/10.16 fof(f9642,plain,(
% 77.22/10.16 spl0_247|~spl0_4|~spl0_127|~spl0_126|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9641,f9638,f799,f5790,f5769,f2097,f3762])).
% 77.22/10.16 fof(f9687,plain,(
% 77.22/10.16 spl0_256 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,unordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9690,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|in(X0,unordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2))|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5954,f7474])).
% 77.22/10.16 fof(f9691,plain,(
% 77.22/10.16 spl0_256|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9690,f9687,f794,f5769,f5790])).
% 77.22/10.16 fof(f9857,plain,(
% 77.22/10.16 spl0_257 <=> empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|in(sk0_2(X1,empty_set,empty_set),relation_dom(empty_set))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9860,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~relation(empty_set)|in(sk0_2(X1,empty_set,empty_set),relation_dom(empty_set))|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f7129])).
% 77.22/10.16 fof(f9861,plain,(
% 77.22/10.16 spl0_257|~spl0_4|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9860,f9857,f799,f5790,f2097,f3762])).
% 77.22/10.16 fof(f9863,plain,(
% 77.22/10.16 spl0_258 <=> empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|in(sk0_2(X1,empty_set,relation_dom_restriction(empty_set,X0)),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9866,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~relation(empty_set)|in(sk0_2(X1,empty_set,relation_dom_restriction(empty_set,X0)),empty_set)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f7129])).
% 77.22/10.16 fof(f9867,plain,(
% 77.22/10.16 spl0_258|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9866,f9863,f799,f5790])).
% 77.22/10.16 fof(f9874,plain,(
% 77.22/10.16 spl0_259 <=> disjoint(relation_dom(empty_set),X0)|~empty(set_difference(empty_set,X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9877,plain,(
% 77.22/10.16 ![X0]: (disjoint(relation_dom(empty_set),X0)|~empty(set_difference(empty_set,X0))|~empty(empty_set))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f9272])).
% 77.22/10.16 fof(f9878,plain,(
% 77.22/10.16 spl0_259|~spl0_3),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9877,f9874,f794])).
% 77.22/10.16 fof(f9881,plain,(
% 77.22/10.16 spl0_260 <=> empty(identity_relation(empty_set))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9883,plain,(
% 77.22/10.16 ~empty(identity_relation(empty_set))|spl0_260),
% 77.22/10.16 inference(component_clause,[status(thm)],[f9881])).
% 77.22/10.16 fof(f9888,plain,(
% 77.22/10.16 spl0_261 <=> disjoint(identity_relation(empty_set),X0)|~empty(set_difference(empty_set,X0))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9891,plain,(
% 77.22/10.16 ![X0]: (disjoint(identity_relation(empty_set),X0)|~empty(empty_set)|~empty(set_difference(empty_set,X0))|~spl0_10)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f2098,f9273])).
% 77.22/10.16 fof(f9892,plain,(
% 77.22/10.16 spl0_261|~spl0_3|~spl0_10),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9891,f9888,f794,f2097])).
% 77.22/10.16 fof(f9911,plain,(
% 77.22/10.16 spl0_262 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X1)|~in(empty_set,ordered_pair(X0,sk0_3(X1,empty_set,identity_relation(singleton(X0)))))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9914,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|~relation(empty_set)|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X1)|~in(empty_set,ordered_pair(X0,sk0_3(X1,empty_set,identity_relation(singleton(X0)))))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5903,f5776])).
% 77.22/10.16 fof(f9915,plain,(
% 77.22/10.16 spl0_262|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9914,f9911,f799,f5790])).
% 77.22/10.16 fof(f9916,plain,(
% 77.22/10.16 spl0_263 <=> ~relation(relation_dom_restriction(identity_relation(X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|in(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),X2)|~in(empty_set,ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9919,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(relation_dom_restriction(identity_relation(X0),X1))|~relation(empty_set)|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|in(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),X2)|~in(empty_set,ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f7119,f5776])).
% 77.22/10.16 fof(f9920,plain,(
% 77.22/10.16 spl0_263|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9919,f9916,f799,f5790])).
% 77.22/10.16 fof(f9921,plain,(
% 77.22/10.16 spl0_264 <=> ~relation(identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|in(sk0_2(X1,empty_set,identity_relation(X0)),X1)|~in(empty_set,ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_2(X1,empty_set,identity_relation(X0))))|empty_set=relation_dom_restriction(identity_relation(X0),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9924,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(identity_relation(X0))|~relation(empty_set)|empty_set=relation_dom_restriction(identity_relation(X0),X1)|in(sk0_2(X1,empty_set,identity_relation(X0)),X1)|~in(empty_set,ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_2(X1,empty_set,identity_relation(X0))))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5885,f5776])).
% 77.22/10.16 fof(f9925,plain,(
% 77.22/10.16 spl0_264|~spl0_4|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9924,f9921,f799,f5790])).
% 77.22/10.16 fof(f9926,plain,(
% 77.22/10.16 spl0_265 <=> empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_0(X0,empty_set)|empty_set=identity_relation(X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9929,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_0(X0,empty_set)|~empty(relation_dom(empty_set))|empty_set=identity_relation(X0)|~spl0_13)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3410,f7376])).
% 77.22/10.16 fof(f9930,plain,(
% 77.22/10.16 ~spl0_4|spl0_265|~spl0_141|~spl0_13),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9929,f799,f9926,f5922,f3409])).
% 77.22/10.16 fof(f9932,plain,(
% 77.22/10.16 spl0_266 <=> empty_set=relation_dom(X0)|~relation(X0)|~subset(X0,empty_set)|~subset(empty_set,X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9935,plain,(
% 77.22/10.16 ![X0]: (empty_set=relation_dom(X0)|~relation(X0)|~relation(empty_set)|~subset(X0,empty_set)|~subset(empty_set,X0))),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f8214])).
% 77.22/10.16 fof(f9936,plain,(
% 77.22/10.16 spl0_266|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9935,f9932,f799])).
% 77.22/10.16 fof(f9955,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|empty_set=identity_relation(singleton(X0))|~empty(relation_dom(empty_set))|X0=X0|empty_set=identity_relation(singleton(X0))|~spl0_12)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5724,f7193])).
% 77.22/10.16 fof(f9956,plain,(
% 77.22/10.16 ~spl0_4|spl0_204|~spl0_141|~spl0_12),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9955,f799,f8491,f5922,f3390])).
% 77.22/10.16 fof(f9979,plain,(
% 77.22/10.16 spl0_267 <=> ~relation(identity_relation(singleton(X0)))|~in(X1,singleton(X2))|~in(ordered_pair(X1,X3),identity_relation(singleton(X0)))|X0=X2),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9982,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~empty(relation_dom(empty_set))|~relation(identity_relation(singleton(X0)))|~in(X1,singleton(X2))|~in(ordered_pair(X1,X3),identity_relation(singleton(X0)))|X0=X2|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5935,f3373])).
% 77.22/10.16 fof(f9983,plain,(
% 77.22/10.16 ~spl0_141|spl0_267|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9982,f5922,f9979,f5769,f5790])).
% 77.22/10.16 fof(f9984,plain,(
% 77.22/10.16 spl0_268 <=> ~relation(identity_relation(singleton(X0)))|~in(X1,X2)|~in(ordered_pair(X1,X3),identity_relation(singleton(X0)))|in(X0,X2)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9987,plain,(
% 77.22/10.16 ![X0,X1,X2,X3]: (~empty(relation_dom(empty_set))|~relation(identity_relation(singleton(X0)))|~in(X1,X2)|~in(ordered_pair(X1,X3),identity_relation(singleton(X0)))|in(X0,X2)|~spl0_126|~spl0_127)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f5954,f3373])).
% 77.22/10.16 fof(f9988,plain,(
% 77.22/10.16 ~spl0_141|spl0_268|~spl0_126|~spl0_127),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9987,f5922,f9984,f5769,f5790])).
% 77.22/10.16 fof(f9989,plain,(
% 77.22/10.16 spl0_269 <=> ~in(X0,X1)|~in(ordered_pair(X0,X2),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f9992,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~empty(relation_dom(empty_set))|~relation(empty_set)|~in(X0,X1)|~in(ordered_pair(X0,X2),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f3373])).
% 77.22/10.16 fof(f9993,plain,(
% 77.22/10.16 ~spl0_141|~spl0_4|spl0_269|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f9992,f5922,f799,f9989,f2097,f3762])).
% 77.22/10.16 fof(f10015,plain,(
% 77.22/10.16 spl0_270 <=> ~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f10018,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),X0)|~relation(empty_set))),
% 77.22/10.16 inference(resolution,[status(thm)],[f5782,f757])).
% 77.22/10.16 fof(f10019,plain,(
% 77.22/10.16 spl0_270|~spl0_4),
% 77.22/10.16 inference(split_clause,[status(thm)],[f10018,f10015,f799])).
% 77.22/10.16 fof(f10027,plain,(
% 77.22/10.16 spl0_271 <=> ~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),X0)|in(ordered_pair(sk0_2(X2,empty_set,X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f10030,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),X0)|~relation(empty_set)|in(ordered_pair(sk0_2(X2,empty_set,X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5782])).
% 77.22/10.16 fof(f10031,plain,(
% 77.22/10.16 spl0_271|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f10030,f10027,f799,f2097,f3762])).
% 77.22/10.16 fof(f10036,plain,(
% 77.22/10.16 spl0_272 <=> ~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),X0)|in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,empty_set,X0)),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f10039,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),X0)|~relation(empty_set)|in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,empty_set,X0)),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5782])).
% 77.22/10.16 fof(f10040,plain,(
% 77.22/10.16 spl0_272|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f10039,f10036,f799,f2097,f3762])).
% 77.22/10.16 fof(f10070,plain,(
% 77.22/10.16 spl0_273 <=> relation_dom_restriction(X0,X1)=relation_dom_restriction(empty_set,X2)|~relation(X0)|in(sk0_2(X2,relation_dom_restriction(X0,X1),empty_set),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f10071,plain,(
% 77.22/10.16 ![X0,X1,X2]: (relation_dom_restriction(X0,X1)=relation_dom_restriction(empty_set,X2)|~relation(X0)|in(sk0_2(X2,relation_dom_restriction(X0,X1),empty_set),X1)|~spl0_273)),
% 77.22/10.16 inference(component_clause,[status(thm)],[f10070])).
% 77.22/10.16 fof(f10073,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(empty_set)|relation_dom_restriction(X0,X1)=relation_dom_restriction(empty_set,X2)|~relation(X0)|in(sk0_2(X2,relation_dom_restriction(X0,X1),empty_set),X1))),
% 77.22/10.16 inference(resolution,[status(thm)],[f5784,f757])).
% 77.22/10.16 fof(f10074,plain,(
% 77.22/10.16 ~spl0_4|spl0_273),
% 77.22/10.16 inference(split_clause,[status(thm)],[f10073,f799,f10070])).
% 77.22/10.16 fof(f10082,plain,(
% 77.22/10.16 spl0_274 <=> ~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,empty_set,X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),X0)|in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f10085,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,empty_set,X0),sk0_3(X2,relation_dom_restriction(empty_set,X1),X0)),X0)|~relation(empty_set)|in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X1)|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5784])).
% 77.22/10.16 fof(f10086,plain,(
% 77.22/10.16 spl0_274|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f10085,f10082,f799,f2097,f3762])).
% 77.22/10.16 fof(f10091,plain,(
% 77.22/10.16 spl0_275 <=> ~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,empty_set,X0)),X0)|in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X1)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f10094,plain,(
% 77.22/10.16 ![X0,X1,X2]: (~relation(X0)|relation_dom_restriction(empty_set,X1)=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),sk0_3(X2,empty_set,X0)),X0)|~relation(empty_set)|in(sk0_2(X2,relation_dom_restriction(empty_set,X1),X0),X1)|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f5784])).
% 77.22/10.16 fof(f10095,plain,(
% 77.22/10.16 spl0_275|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f10094,f10091,f799,f2097,f3762])).
% 77.22/10.16 fof(f10096,plain,(
% 77.22/10.16 ![X0,X1,X2]: (relation_dom_restriction(X0,X1)=empty_set|~relation(X0)|in(sk0_2(X2,relation_dom_restriction(X0,X1),empty_set),X1)|~spl0_10|~spl0_24|~spl0_273)),
% 77.22/10.16 inference(forward_demodulation,[status(thm)],[f3771,f10071])).
% 77.22/10.16 fof(f10112,plain,(
% 77.22/10.16 ![X0,X1]: (subset(sk0_6(singleton(X0)),X1)|relation(singleton(X0))|~in(X0,powerset(X1))|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f758,f7717])).
% 77.22/10.16 fof(f10126,plain,(
% 77.22/10.16 ![X0]: (subset(sk0_0(powerset(X0),empty_set),X0)|empty_set=identity_relation(powerset(X0))|~spl0_12)),
% 77.22/10.16 inference(resolution,[status(thm)],[f758,f3391])).
% 77.22/10.16 fof(f10134,plain,(
% 77.22/10.16 ![X0,X1]: (subset(ordered_pair(sk0_2(X0,empty_set,powerset(X1)),sk0_3(X0,empty_set,powerset(X1))),X1)|~relation(powerset(X1))|empty_set=relation_dom_restriction(powerset(X1),X0)|~spl0_127)),
% 77.22/10.16 inference(resolution,[status(thm)],[f758,f5791])).
% 77.22/10.16 fof(f10145,plain,(
% 77.22/10.16 ![X0,X1]: (~subset(sk0_6(singleton(X0)),X1)|relation(singleton(X0))|in(X0,powerset(X1))|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f759,f7432])).
% 77.22/10.16 fof(f10173,plain,(
% 77.22/10.16 ![X0,X1]: (~subset(relation_dom(singleton(ordered_pair(powerset(X0),X1))),X0)|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f759,f7766])).
% 77.22/10.16 fof(f10262,plain,(
% 77.22/10.16 ![X0,X1]: (~subset(X0,X1)|~in(powerset(X1),X0))),
% 77.22/10.16 inference(resolution,[status(thm)],[f759,f183])).
% 77.22/10.16 fof(f10319,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(singleton(ordered_pair(powerset(relation_dom(X0)),X1)))|~relation(X0)|~subset(singleton(ordered_pair(powerset(relation_dom(X0)),X1)),X0)|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f10173,f548])).
% 77.22/10.16 fof(f10320,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|~subset(singleton(ordered_pair(powerset(relation_dom(X0)),X1)),X0)|~spl0_156)),
% 77.22/10.16 inference(forward_subsumption_resolution,[status(thm)],[f10319,f7723])).
% 77.22/10.16 fof(f10348,plain,(
% 77.22/10.16 spl0_276 <=> relation_dom_restriction(empty_set,X0)=empty_set|in(sk0_2(X1,empty_set,empty_set),X0)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f10351,plain,(
% 77.22/10.16 ![X0,X1]: (relation_dom_restriction(empty_set,X0)=empty_set|~relation(empty_set)|in(sk0_2(X1,empty_set,empty_set),X0)|~spl0_273|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f10096])).
% 77.22/10.16 fof(f10352,plain,(
% 77.22/10.16 spl0_276|~spl0_4|~spl0_273|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f10351,f10348,f799,f10070,f2097,f3762])).
% 77.22/10.16 fof(f10384,plain,(
% 77.22/10.16 ![X0,X1]: (~relation(X0)|~proper_subset(singleton(ordered_pair(powerset(relation_dom(X0)),X1)),X0)|~spl0_156)),
% 77.22/10.16 inference(resolution,[status(thm)],[f10320,f376])).
% 77.22/10.16 fof(f10386,plain,(
% 77.22/10.16 spl0_277 <=> ~subset(singleton(ordered_pair(powerset(empty_set),X0)),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f10389,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|~subset(singleton(ordered_pair(powerset(empty_set),X0)),empty_set)|~spl0_156)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f10320])).
% 77.22/10.16 fof(f10390,plain,(
% 77.22/10.16 ~spl0_4|spl0_277|~spl0_156),
% 77.22/10.16 inference(split_clause,[status(thm)],[f10389,f799,f10386,f6530])).
% 77.22/10.16 fof(f10392,plain,(
% 77.22/10.16 spl0_278 <=> ~proper_subset(singleton(ordered_pair(powerset(empty_set),X0)),empty_set)),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f10395,plain,(
% 77.22/10.16 ![X0]: (~relation(empty_set)|~proper_subset(singleton(ordered_pair(powerset(empty_set),X0)),empty_set)|~spl0_156)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f654,f10384])).
% 77.22/10.16 fof(f10396,plain,(
% 77.22/10.16 ~spl0_4|spl0_278|~spl0_156),
% 77.22/10.16 inference(split_clause,[status(thm)],[f10395,f799,f10392,f6530])).
% 77.22/10.16 fof(f10455,plain,(
% 77.22/10.16 spl0_279 <=> empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~in(empty_set,ordered_pair(sk0_2(X1,empty_set,empty_set),sk0_3(X1,empty_set,relation_dom_restriction(empty_set,X0))))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f10458,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~relation(empty_set)|~in(empty_set,ordered_pair(sk0_2(X1,empty_set,empty_set),sk0_3(X1,empty_set,relation_dom_restriction(empty_set,X0))))|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f7140])).
% 77.22/10.16 fof(f10459,plain,(
% 77.22/10.16 spl0_279|~spl0_4|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f10458,f10455,f799,f5790,f2097,f3762])).
% 77.22/10.16 fof(f10467,plain,(
% 77.22/10.16 spl0_280 <=> empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~in(empty_set,ordered_pair(sk0_2(X1,empty_set,relation_dom_restriction(empty_set,X0)),sk0_3(X1,empty_set,empty_set)))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f10470,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~relation(empty_set)|~in(empty_set,ordered_pair(sk0_2(X1,empty_set,relation_dom_restriction(empty_set,X0)),sk0_3(X1,empty_set,empty_set)))|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f7140])).
% 77.22/10.16 fof(f10471,plain,(
% 77.22/10.16 spl0_280|~spl0_4|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f10470,f10467,f799,f5790,f2097,f3762])).
% 77.22/10.16 fof(f10478,plain,(
% 77.22/10.16 spl0_281 <=> empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,singleton(X0)),X1)|sk0_2(X1,empty_set,empty_set)=X0),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f10481,plain,(
% 77.22/10.16 ![X0,X1]: (empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,singleton(X0)),X1)|~relation(empty_set)|sk0_2(X1,empty_set,empty_set)=X0|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.16 inference(paramodulation,[status(thm)],[f3771,f7165])).
% 77.22/10.16 fof(f10482,plain,(
% 77.22/10.16 spl0_281|~spl0_4|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.16 inference(split_clause,[status(thm)],[f10481,f10478,f799,f5790,f2097,f3762])).
% 77.22/10.16 fof(f10486,plain,(
% 77.22/10.16 spl0_282 <=> empty_set=identity_relation(powerset(empty_set))),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f10487,plain,(
% 77.22/10.16 empty_set=identity_relation(powerset(empty_set))|~spl0_282),
% 77.22/10.16 inference(component_clause,[status(thm)],[f10486])).
% 77.22/10.16 fof(f10488,plain,(
% 77.22/10.16 ~empty_set=identity_relation(powerset(empty_set))|spl0_282),
% 77.22/10.16 inference(component_clause,[status(thm)],[f10486])).
% 77.22/10.16 fof(f10489,plain,(
% 77.22/10.16 spl0_283 <=> sk0_0(powerset(empty_set),empty_set)=empty_set),
% 77.22/10.16 introduced(split_symbol_definition)).
% 77.22/10.16 fof(f10490,plain,(
% 77.22/10.16 sk0_0(powerset(empty_set),empty_set)=empty_set|~spl0_283),
% 77.22/10.16 inference(component_clause,[status(thm)],[f10489])).
% 77.22/10.16 fof(f10494,plain,(
% 77.22/10.16 spl0_284 <=> empty_set=relation_dom(sk0_0(powerset(empty_set),empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10497,plain,(
% 77.22/10.17 spl0_285 <=> relation(sk0_0(powerset(empty_set),empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10499,plain,(
% 77.22/10.17 ~relation(sk0_0(powerset(empty_set),empty_set))|spl0_285),
% 77.22/10.17 inference(component_clause,[status(thm)],[f10497])).
% 77.22/10.17 fof(f10500,plain,(
% 77.22/10.17 empty_set=identity_relation(powerset(empty_set))|empty_set=relation_dom(sk0_0(powerset(empty_set),empty_set))|~relation(sk0_0(powerset(empty_set),empty_set))|~spl0_12|~spl0_7),
% 77.22/10.17 inference(resolution,[status(thm)],[f10126,f3421])).
% 77.22/10.17 fof(f10501,plain,(
% 77.22/10.17 spl0_282|spl0_284|~spl0_285|~spl0_12|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10500,f10486,f10494,f10497,f3390,f819])).
% 77.22/10.17 fof(f10502,plain,(
% 77.22/10.17 ![X0]: (empty_set=identity_relation(powerset(X0))|~proper_subset(X0,sk0_0(powerset(X0),empty_set))|~spl0_12)),
% 77.22/10.17 inference(resolution,[status(thm)],[f10126,f657])).
% 77.22/10.17 fof(f10504,plain,(
% 77.22/10.17 spl0_286 <=> subset(sk0_0(singleton(empty_set),empty_set),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10507,plain,(
% 77.22/10.17 subset(sk0_0(singleton(empty_set),empty_set),empty_set)|empty_set=identity_relation(powerset(empty_set))|~spl0_12),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f540,f10126])).
% 77.22/10.17 fof(f10508,plain,(
% 77.22/10.17 spl0_286|spl0_282|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10507,f10504,f10486,f3390])).
% 77.22/10.17 fof(f10509,plain,(
% 77.22/10.17 empty_set=identity_relation(singleton(empty_set))|~spl0_282),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f540,f10487])).
% 77.22/10.17 fof(f10536,plain,(
% 77.22/10.17 spl0_291 <=> empty(singleton(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10674,plain,(
% 77.22/10.17 spl0_299 <=> relation(singleton(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10675,plain,(
% 77.22/10.17 relation(singleton(empty_set))|~spl0_299),
% 77.22/10.17 inference(component_clause,[status(thm)],[f10674])).
% 77.22/10.17 fof(f10872,plain,(
% 77.22/10.17 relation_rng(empty_set)=singleton(empty_set)|~spl0_282),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10509,f679])).
% 77.22/10.17 fof(f10873,plain,(
% 77.22/10.17 empty_set=singleton(empty_set)|~spl0_282),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f655,f10872])).
% 77.22/10.17 fof(f10874,plain,(
% 77.22/10.17 $false|~spl0_282),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f10873,f445])).
% 77.22/10.17 fof(f10875,plain,(
% 77.22/10.17 ~spl0_282),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f10874])).
% 77.22/10.17 fof(f10876,plain,(
% 77.22/10.17 ~relation(sk0_0(singleton(empty_set),empty_set))|spl0_285),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f540,f10499])).
% 77.22/10.17 fof(f10877,plain,(
% 77.22/10.17 sk0_0(singleton(empty_set),empty_set)=empty_set|~spl0_283),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f540,f10490])).
% 77.22/10.17 fof(f10878,plain,(
% 77.22/10.17 ~empty_set=identity_relation(singleton(empty_set))|spl0_282),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f540,f10488])).
% 77.22/10.17 fof(f10879,plain,(
% 77.22/10.17 ~empty(singleton(empty_set))|~empty(empty_set)|spl0_282),
% 77.22/10.17 inference(resolution,[status(thm)],[f10878,f7209])).
% 77.22/10.17 fof(f10880,plain,(
% 77.22/10.17 ~spl0_291|~spl0_3|spl0_282),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10879,f10536,f794,f10486])).
% 77.22/10.17 fof(f10883,plain,(
% 77.22/10.17 spl0_301 <=> empty_set=identity_relation(singleton(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10884,plain,(
% 77.22/10.17 empty_set=identity_relation(singleton(empty_set))|~spl0_301),
% 77.22/10.17 inference(component_clause,[status(thm)],[f10883])).
% 77.22/10.17 fof(f10886,plain,(
% 77.22/10.17 ~relation(empty_set)|empty_set=identity_relation(singleton(empty_set))|spl0_285|~spl0_12),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5724,f10876])).
% 77.22/10.17 fof(f10887,plain,(
% 77.22/10.17 ~spl0_4|spl0_301|spl0_285|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10886,f799,f10883,f10497,f3390])).
% 77.22/10.17 fof(f10889,plain,(
% 77.22/10.17 $false|spl0_282|~spl0_301),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f10884,f10878])).
% 77.22/10.17 fof(f10890,plain,(
% 77.22/10.17 spl0_282|~spl0_301),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f10889])).
% 77.22/10.17 fof(f10894,plain,(
% 77.22/10.17 spl0_302 <=> ~in(empty_set,X0)|~in(X0,empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10897,plain,(
% 77.22/10.17 ![X0]: (empty_set=identity_relation(singleton(empty_set))|~in(empty_set,X0)|~in(X0,empty_set)|~spl0_12|~spl0_156|~spl0_283)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f8972])).
% 77.22/10.17 fof(f10898,plain,(
% 77.22/10.17 spl0_301|spl0_302|~spl0_12|~spl0_156|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10897,f10883,f10894,f3390,f6530,f10489])).
% 77.22/10.17 fof(f10899,plain,(
% 77.22/10.17 spl0_303 <=> ~in(empty_set,singleton(X0))|empty_set=X0),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10904,plain,(
% 77.22/10.17 spl0_304 <=> ~in(empty_set,X0)|in(empty_set,X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10907,plain,(
% 77.22/10.17 ![X0]: (empty_set=identity_relation(singleton(empty_set))|~in(empty_set,X0)|in(empty_set,X0)|~spl0_12|~spl0_156|~spl0_283)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f8697])).
% 77.22/10.17 fof(f10908,plain,(
% 77.22/10.17 spl0_301|spl0_304|~spl0_12|~spl0_156|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10907,f10883,f10904,f3390,f6530,f10489])).
% 77.22/10.17 fof(f10909,plain,(
% 77.22/10.17 spl0_305 <=> ~in(unordered_pair(empty_set,X0),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10912,plain,(
% 77.22/10.17 ![X0]: (empty_set=identity_relation(singleton(empty_set))|~in(unordered_pair(empty_set,X0),empty_set)|~spl0_156|~spl0_12|~spl0_283)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f8901])).
% 77.22/10.17 fof(f10913,plain,(
% 77.22/10.17 spl0_301|spl0_305|~spl0_156|~spl0_12|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10912,f10883,f10909,f6530,f3390,f10489])).
% 77.22/10.17 fof(f10914,plain,(
% 77.22/10.17 spl0_306 <=> ~in(unordered_pair(X0,empty_set),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10917,plain,(
% 77.22/10.17 ![X0]: (empty_set=identity_relation(singleton(empty_set))|~in(unordered_pair(X0,empty_set),empty_set)|~spl0_156|~spl0_12|~spl0_283)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f8846])).
% 77.22/10.17 fof(f10918,plain,(
% 77.22/10.17 spl0_301|spl0_306|~spl0_156|~spl0_12|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10917,f10883,f10914,f6530,f3390,f10489])).
% 77.22/10.17 fof(f10919,plain,(
% 77.22/10.17 spl0_307 <=> in(empty_set,unordered_pair(empty_set,X0))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10922,plain,(
% 77.22/10.17 ![X0]: (in(empty_set,unordered_pair(empty_set,X0))|empty_set=identity_relation(singleton(empty_set))|~spl0_156|~spl0_12|~spl0_283)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f8511])).
% 77.22/10.17 fof(f10923,plain,(
% 77.22/10.17 spl0_307|spl0_301|~spl0_156|~spl0_12|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10922,f10919,f10883,f6530,f3390,f10489])).
% 77.22/10.17 fof(f10924,plain,(
% 77.22/10.17 spl0_308 <=> in(empty_set,unordered_pair(X0,empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10927,plain,(
% 77.22/10.17 ![X0]: (in(empty_set,unordered_pair(X0,empty_set))|empty_set=identity_relation(singleton(empty_set))|~spl0_156|~spl0_12|~spl0_283)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f8510])).
% 77.22/10.17 fof(f10928,plain,(
% 77.22/10.17 spl0_308|spl0_301|~spl0_156|~spl0_12|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10927,f10924,f10883,f6530,f3390,f10489])).
% 77.22/10.17 fof(f10929,plain,(
% 77.22/10.17 spl0_309 <=> in(singleton(empty_set),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10934,plain,(
% 77.22/10.17 spl0_310 <=> in(sk0_47(empty_set),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10937,plain,(
% 77.22/10.17 empty_set=identity_relation(singleton(empty_set))|~in(sk0_47(empty_set),empty_set)|~spl0_156|~spl0_12|~spl0_283),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f8643])).
% 77.22/10.17 fof(f10938,plain,(
% 77.22/10.17 spl0_301|~spl0_310|~spl0_156|~spl0_12|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10937,f10883,f10934,f6530,f3390,f10489])).
% 77.22/10.17 fof(f10939,plain,(
% 77.22/10.17 spl0_311 <=> in(sk0_56(empty_set),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10942,plain,(
% 77.22/10.17 empty_set=identity_relation(singleton(empty_set))|~in(sk0_56(empty_set),empty_set)|~spl0_156|~spl0_12|~spl0_283),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f8591])).
% 77.22/10.17 fof(f10943,plain,(
% 77.22/10.17 spl0_301|~spl0_311|~spl0_156|~spl0_12|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10942,f10883,f10939,f6530,f3390,f10489])).
% 77.22/10.17 fof(f10944,plain,(
% 77.22/10.17 spl0_312 <=> in(empty_set,singleton(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10949,plain,(
% 77.22/10.17 spl0_313 <=> in(empty_set,sk0_47(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10952,plain,(
% 77.22/10.17 in(empty_set,sk0_47(empty_set))|empty_set=identity_relation(singleton(empty_set))|~spl0_156|~spl0_12|~spl0_283),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f8515])).
% 77.22/10.17 fof(f10953,plain,(
% 77.22/10.17 spl0_313|spl0_301|~spl0_156|~spl0_12|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10952,f10949,f10883,f6530,f3390,f10489])).
% 77.22/10.17 fof(f10954,plain,(
% 77.22/10.17 spl0_314 <=> in(empty_set,sk0_56(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10957,plain,(
% 77.22/10.17 in(empty_set,sk0_56(empty_set))|empty_set=identity_relation(singleton(empty_set))|~spl0_156|~spl0_12|~spl0_283),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f8513])).
% 77.22/10.17 fof(f10958,plain,(
% 77.22/10.17 spl0_314|spl0_301|~spl0_156|~spl0_12|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10957,f10954,f10883,f6530,f3390,f10489])).
% 77.22/10.17 fof(f10961,plain,(
% 77.22/10.17 ![X0]: (~in(empty_set,singleton(X0))|empty_set=X0|empty_set=identity_relation(singleton(empty_set))|~spl0_147|~spl0_12|~spl0_283)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f7072])).
% 77.22/10.17 fof(f10962,plain,(
% 77.22/10.17 spl0_303|spl0_301|~spl0_147|~spl0_12|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10961,f10899,f10883,f5976,f3390,f10489])).
% 77.22/10.17 fof(f10967,plain,(
% 77.22/10.17 empty_set=identity_relation(singleton(empty_set))|~in(singleton(empty_set),empty_set)|~spl0_12|~spl0_283),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f3496])).
% 77.22/10.17 fof(f10968,plain,(
% 77.22/10.17 spl0_301|~spl0_309|~spl0_12|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10967,f10883,f10929,f3390,f10489])).
% 77.22/10.17 fof(f10971,plain,(
% 77.22/10.17 spl0_315 <=> sk0_0(singleton(empty_set),empty_set)=sk0_1(singleton(empty_set),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10972,plain,(
% 77.22/10.17 sk0_0(singleton(empty_set),empty_set)=sk0_1(singleton(empty_set),empty_set)|~spl0_315),
% 77.22/10.17 inference(component_clause,[status(thm)],[f10971])).
% 77.22/10.17 fof(f10979,plain,(
% 77.22/10.17 spl0_317 <=> in(empty_set,relation_dom(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10980,plain,(
% 77.22/10.17 in(empty_set,relation_dom(empty_set))|~spl0_317),
% 77.22/10.17 inference(component_clause,[status(thm)],[f10979])).
% 77.22/10.17 fof(f10982,plain,(
% 77.22/10.17 ~relation(empty_set)|empty_set=identity_relation(singleton(empty_set))|sk0_0(singleton(empty_set),empty_set)=sk0_1(singleton(empty_set),empty_set)|in(empty_set,relation_dom(empty_set))|~spl0_283),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f3408])).
% 77.22/10.17 fof(f10983,plain,(
% 77.22/10.17 ~spl0_4|spl0_301|spl0_315|spl0_317|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10982,f799,f10883,f10971,f10979,f10489])).
% 77.22/10.17 fof(f10988,plain,(
% 77.22/10.17 spl0_318 <=> in(sk0_0(singleton(empty_set),empty_set),singleton(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f10993,plain,(
% 77.22/10.17 ~relation(empty_set)|empty_set=identity_relation(singleton(empty_set))|in(sk0_0(singleton(empty_set),empty_set),singleton(empty_set))|in(empty_set,relation_dom(empty_set))|~spl0_283),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f3389])).
% 77.22/10.17 fof(f10994,plain,(
% 77.22/10.17 ~spl0_4|spl0_301|spl0_318|spl0_317|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f10993,f799,f10883,f10988,f10979,f10489])).
% 77.22/10.17 fof(f10995,plain,(
% 77.22/10.17 spl0_319 <=> in(ordered_pair(empty_set,sk0_1(singleton(empty_set),empty_set)),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11002,plain,(
% 77.22/10.17 ~relation(empty_set)|empty_set=identity_relation(singleton(empty_set))|~in(ordered_pair(empty_set,sk0_1(singleton(empty_set),empty_set)),empty_set)|~in(sk0_0(singleton(empty_set),empty_set),singleton(empty_set))|~sk0_0(singleton(empty_set),empty_set)=sk0_1(singleton(empty_set),empty_set)|~spl0_283),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f10877,f198])).
% 77.22/10.17 fof(f11003,plain,(
% 77.22/10.17 ~spl0_4|spl0_301|~spl0_319|~spl0_318|~spl0_315|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11002,f799,f10883,f10995,f10988,f10971,f10489])).
% 77.22/10.17 fof(f11004,plain,(
% 77.22/10.17 in(empty_set,empty_set)|~spl0_317),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f654,f10980])).
% 77.22/10.17 fof(f11005,plain,(
% 77.22/10.17 $false|~spl0_317),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f11004,f757])).
% 77.22/10.17 fof(f11006,plain,(
% 77.22/10.17 ~spl0_317),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f11005])).
% 77.22/10.17 fof(f11007,plain,(
% 77.22/10.17 empty_set=sk0_1(singleton(empty_set),empty_set)|~spl0_283|~spl0_315),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f10877,f10972])).
% 77.22/10.17 fof(f11011,plain,(
% 77.22/10.17 spl0_320 <=> empty_set=sk0_0(singleton(empty_set),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11014,plain,(
% 77.22/10.17 empty_set=sk0_0(singleton(empty_set),empty_set)|empty_set=identity_relation(singleton(empty_set))|~spl0_283|~spl0_315|~spl0_13),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3410,f11007])).
% 77.22/10.17 fof(f11015,plain,(
% 77.22/10.17 spl0_320|spl0_301|~spl0_283|~spl0_315|~spl0_13),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11014,f11011,f10883,f10489,f10971,f3409])).
% 77.22/10.17 fof(f11027,plain,(
% 77.22/10.17 spl0_322 <=> in(ordered_pair(sk0_0(singleton(empty_set),empty_set),empty_set),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11034,plain,(
% 77.22/10.17 ~relation(empty_set)|empty_set=identity_relation(singleton(empty_set))|~in(ordered_pair(sk0_0(singleton(empty_set),empty_set),empty_set),empty_set)|~in(sk0_0(singleton(empty_set),empty_set),singleton(empty_set))|~sk0_0(singleton(empty_set),empty_set)=sk0_1(singleton(empty_set),empty_set)|~spl0_283|~spl0_315),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f11007,f198])).
% 77.22/10.17 fof(f11035,plain,(
% 77.22/10.17 ~spl0_4|spl0_301|~spl0_322|~spl0_318|~spl0_315|~spl0_283),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11034,f799,f10883,f11027,f10988,f10971,f10489])).
% 77.22/10.17 fof(f11039,plain,(
% 77.22/10.17 spl0_323 <=> proper_subset(empty_set,sk0_0(singleton(empty_set),empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11042,plain,(
% 77.22/10.17 empty_set=identity_relation(powerset(empty_set))|~proper_subset(empty_set,sk0_0(singleton(empty_set),empty_set))|~spl0_12),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f540,f10502])).
% 77.22/10.17 fof(f11043,plain,(
% 77.22/10.17 spl0_282|~spl0_323|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11042,f10486,f11039,f3390])).
% 77.22/10.17 fof(f11208,plain,(
% 77.22/10.17 spl0_324 <=> relation(powerset(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11210,plain,(
% 77.22/10.17 ~relation(powerset(empty_set))|spl0_324),
% 77.22/10.17 inference(component_clause,[status(thm)],[f11208])).
% 77.22/10.17 fof(f11211,plain,(
% 77.22/10.17 spl0_325 <=> empty_set=relation_dom_restriction(powerset(empty_set),X0)|ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,powerset(empty_set)))=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11214,plain,(
% 77.22/10.17 ![X0]: (~relation(powerset(empty_set))|empty_set=relation_dom_restriction(powerset(empty_set),X0)|ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,powerset(empty_set)))=empty_set|~spl0_127|~spl0_23)),
% 77.22/10.17 inference(resolution,[status(thm)],[f10134,f3675])).
% 77.22/10.17 fof(f11215,plain,(
% 77.22/10.17 ~spl0_324|spl0_325|~spl0_127|~spl0_23),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11214,f11208,f11211,f5790,f3669])).
% 77.22/10.17 fof(f11216,plain,(
% 77.22/10.17 spl0_326 <=> empty_set=relation_dom_restriction(powerset(empty_set),X0)|empty_set=relation_dom(ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,powerset(empty_set))))|~relation(ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,powerset(empty_set))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11219,plain,(
% 77.22/10.17 ![X0]: (~relation(powerset(empty_set))|empty_set=relation_dom_restriction(powerset(empty_set),X0)|empty_set=relation_dom(ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,powerset(empty_set))))|~relation(ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,powerset(empty_set))))|~spl0_127|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f10134,f3421])).
% 77.22/10.17 fof(f11220,plain,(
% 77.22/10.17 ~spl0_324|spl0_326|~spl0_127|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11219,f11208,f11216,f5790,f819])).
% 77.22/10.17 fof(f11223,plain,(
% 77.22/10.17 spl0_327 <=> subset(ordered_pair(sk0_2(X0,empty_set,singleton(empty_set)),sk0_3(X0,empty_set,powerset(empty_set))),empty_set)|empty_set=relation_dom_restriction(powerset(empty_set),X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11226,plain,(
% 77.22/10.17 ![X0]: (subset(ordered_pair(sk0_2(X0,empty_set,singleton(empty_set)),sk0_3(X0,empty_set,powerset(empty_set))),empty_set)|~relation(powerset(empty_set))|empty_set=relation_dom_restriction(powerset(empty_set),X0)|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f540,f10134])).
% 77.22/10.17 fof(f11227,plain,(
% 77.22/10.17 spl0_327|~spl0_324|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11226,f11223,f11208,f5790])).
% 77.22/10.17 fof(f11228,plain,(
% 77.22/10.17 spl0_328 <=> subset(ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,singleton(empty_set))),empty_set)|empty_set=relation_dom_restriction(powerset(empty_set),X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11231,plain,(
% 77.22/10.17 ![X0]: (subset(ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,singleton(empty_set))),empty_set)|~relation(powerset(empty_set))|empty_set=relation_dom_restriction(powerset(empty_set),X0)|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f540,f10134])).
% 77.22/10.17 fof(f11232,plain,(
% 77.22/10.17 spl0_328|~spl0_324|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11231,f11228,f11208,f5790])).
% 77.22/10.17 fof(f11233,plain,(
% 77.22/10.17 ~relation(singleton(empty_set))|spl0_324),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f540,f11210])).
% 77.22/10.17 fof(f11244,plain,(
% 77.22/10.17 spl0_329 <=> empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~in(X0,sk0_2(X1,empty_set,empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11247,plain,(
% 77.22/10.17 ![X0,X1]: (empty_set=relation_dom_restriction(relation_dom_restriction(empty_set,X0),X1)|~relation(empty_set)|~in(X0,sk0_2(X1,empty_set,empty_set))|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f7168])).
% 77.22/10.17 fof(f11248,plain,(
% 77.22/10.17 spl0_329|~spl0_4|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11247,f11244,f799,f5790,f2097,f3762])).
% 77.22/10.17 fof(f11288,plain,(
% 77.22/10.17 spl0_330 <=> ~relation(X0)|X0=relation_dom_restriction(empty_set,X1)|in(sk0_2(X1,X0,empty_set),relation_dom(X0))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11289,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(X0)|X0=relation_dom_restriction(empty_set,X1)|in(sk0_2(X1,X0,empty_set),relation_dom(X0))|~spl0_330)),
% 77.22/10.17 inference(component_clause,[status(thm)],[f11288])).
% 77.22/10.17 fof(f11291,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|~relation(X0)|X0=relation_dom_restriction(empty_set,X1)|in(sk0_2(X1,X0,empty_set),relation_dom(X0)))),
% 77.22/10.17 inference(resolution,[status(thm)],[f5788,f757])).
% 77.22/10.17 fof(f11292,plain,(
% 77.22/10.17 ~spl0_4|spl0_330),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11291,f799,f11288])).
% 77.22/10.17 fof(f11296,plain,(
% 77.22/10.17 spl0_331 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(ordered_pair(X0,sk0_3(X1,empty_set,identity_relation(singleton(X0)))),identity_relation(singleton(X0)))|in(sk0_2(X1,empty_set,identity_relation(singleton(X0))),relation_dom(empty_set))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11299,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|~relation(empty_set)|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(ordered_pair(X0,sk0_3(X1,empty_set,identity_relation(singleton(X0)))),identity_relation(singleton(X0)))|in(sk0_2(X1,empty_set,identity_relation(singleton(X0))),relation_dom(empty_set))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5903,f5788])).
% 77.22/10.17 fof(f11300,plain,(
% 77.22/10.17 spl0_331|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11299,f11296,f799,f5790])).
% 77.22/10.17 fof(f11301,plain,(
% 77.22/10.17 spl0_332 <=> ~relation(relation_dom_restriction(identity_relation(X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),relation_dom_restriction(identity_relation(X0),X1))|in(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),relation_dom(empty_set))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11304,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(relation_dom_restriction(identity_relation(X0),X1))|~relation(empty_set)|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),relation_dom_restriction(identity_relation(X0),X1))|in(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),relation_dom(empty_set))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f7119,f5788])).
% 77.22/10.17 fof(f11305,plain,(
% 77.22/10.17 spl0_332|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11304,f11301,f799,f5790])).
% 77.22/10.17 fof(f11306,plain,(
% 77.22/10.17 spl0_333 <=> ~relation(identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_2(X1,empty_set,identity_relation(X0))),identity_relation(X0))|in(sk0_2(X1,empty_set,identity_relation(X0)),relation_dom(empty_set))|empty_set=relation_dom_restriction(identity_relation(X0),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11309,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(identity_relation(X0))|~relation(empty_set)|empty_set=relation_dom_restriction(identity_relation(X0),X1)|in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_2(X1,empty_set,identity_relation(X0))),identity_relation(X0))|in(sk0_2(X1,empty_set,identity_relation(X0)),relation_dom(empty_set))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5885,f5788])).
% 77.22/10.17 fof(f11310,plain,(
% 77.22/10.17 spl0_333|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11309,f11306,f799,f5790])).
% 77.22/10.17 fof(f11318,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(X0)|X0=empty_set|in(sk0_2(X1,X0,empty_set),relation_dom(X0))|~spl0_10|~spl0_24|~spl0_330)),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f3771,f11289])).
% 77.22/10.17 fof(f11360,plain,(
% 77.22/10.17 ![X0]: (~subset(X0,empty_set)|~in(singleton(empty_set),X0))),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f540,f10262])).
% 77.22/10.17 fof(f11412,plain,(
% 77.22/10.17 spl0_334 <=> ~relation(X0)|X0=relation_dom_restriction(empty_set,X1)|~in(X0,ordered_pair(sk0_2(X1,X0,empty_set),sk0_3(X1,X0,empty_set)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11415,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|~relation(X0)|X0=relation_dom_restriction(empty_set,X1)|~in(X0,ordered_pair(sk0_2(X1,X0,empty_set),sk0_3(X1,X0,empty_set))))),
% 77.22/10.17 inference(resolution,[status(thm)],[f5797,f757])).
% 77.22/10.17 fof(f11416,plain,(
% 77.22/10.17 ~spl0_4|spl0_334),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11415,f799,f11412])).
% 77.22/10.17 fof(f11420,plain,(
% 77.22/10.17 spl0_335 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(ordered_pair(X0,sk0_3(X1,empty_set,identity_relation(singleton(X0)))),identity_relation(singleton(X0)))|~in(empty_set,ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),sk0_3(X1,empty_set,identity_relation(singleton(X0)))))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11423,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(identity_relation(singleton(X0)))|~relation(empty_set)|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(ordered_pair(X0,sk0_3(X1,empty_set,identity_relation(singleton(X0)))),identity_relation(singleton(X0)))|~in(empty_set,ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),sk0_3(X1,empty_set,identity_relation(singleton(X0)))))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5903,f5797])).
% 77.22/10.17 fof(f11424,plain,(
% 77.22/10.17 spl0_335|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11423,f11420,f799,f5790])).
% 77.22/10.17 fof(f11425,plain,(
% 77.22/10.17 spl0_336 <=> ~relation(relation_dom_restriction(identity_relation(X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),relation_dom_restriction(identity_relation(X0),X1))|~in(empty_set,ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_3(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11428,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(relation_dom_restriction(identity_relation(X0),X1))|~relation(empty_set)|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),relation_dom_restriction(identity_relation(X0),X1))|~in(empty_set,ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_3(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f7119,f5797])).
% 77.22/10.17 fof(f11429,plain,(
% 77.22/10.17 spl0_336|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11428,f11425,f799,f5790])).
% 77.22/10.17 fof(f11430,plain,(
% 77.22/10.17 spl0_337 <=> ~relation(identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_2(X1,empty_set,identity_relation(X0))),identity_relation(X0))|~in(empty_set,ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_3(X1,empty_set,identity_relation(X0))))|empty_set=relation_dom_restriction(identity_relation(X0),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11433,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(identity_relation(X0))|~relation(empty_set)|empty_set=relation_dom_restriction(identity_relation(X0),X1)|in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_2(X1,empty_set,identity_relation(X0))),identity_relation(X0))|~in(empty_set,ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_3(X1,empty_set,identity_relation(X0))))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5885,f5797])).
% 77.22/10.17 fof(f11434,plain,(
% 77.22/10.17 spl0_337|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11433,f11430,f799,f5790])).
% 77.22/10.17 fof(f11474,plain,(
% 77.22/10.17 spl0_339 <=> ~empty(X0)|~empty(X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11475,plain,(
% 77.22/10.17 ![X0]: (~empty(X0)|~empty(X0)|~spl0_339)),
% 77.22/10.17 inference(component_clause,[status(thm)],[f11474])).
% 77.22/10.17 fof(f11477,plain,(
% 77.22/10.17 spl0_340 <=> ~empty(X1)|empty(X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11480,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(X0)|~empty(X1)|~empty(X0)|empty(X1))),
% 77.22/10.17 inference(resolution,[status(thm)],[f260,f259])).
% 77.22/10.17 fof(f11481,plain,(
% 77.22/10.17 spl0_339|spl0_340),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11480,f11474,f11477])).
% 77.22/10.17 fof(f11482,plain,(
% 77.22/10.17 ![X0]: (~empty(X0)|~spl0_339)),
% 77.22/10.17 inference(duplicate_literals_removal,[status(esa)],[f11475])).
% 77.22/10.17 fof(f11501,plain,(
% 77.22/10.17 spl0_342 <=> disjoint(X0,empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11504,plain,(
% 77.22/10.17 ![X0]: (disjoint(X0,empty_set)|~empty_set=empty_set)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f555,f355])).
% 77.22/10.17 fof(f11505,plain,(
% 77.22/10.17 spl0_342|~spl0_5),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11504,f11501,f807])).
% 77.22/10.17 fof(f11517,plain,(
% 77.22/10.17 ![X0]: (proper_subset(empty_set,X0)|empty_set=X0)),
% 77.22/10.17 inference(resolution,[status(thm)],[f378,f563])).
% 77.22/10.17 fof(f11519,plain,(
% 77.22/10.17 ![X0,X1]: (proper_subset(relation_dom(X0),relation_dom(X1))|relation_dom(X0)=relation_dom(X1)|~relation(X0)|~relation(X1)|~subset(X0,X1))),
% 77.22/10.17 inference(resolution,[status(thm)],[f378,f548])).
% 77.22/10.17 fof(f11529,plain,(
% 77.22/10.17 empty_set=sk0_0(powerset(empty_set),empty_set)|empty_set=identity_relation(powerset(empty_set))|~spl0_12),
% 77.22/10.17 inference(resolution,[status(thm)],[f11517,f10502])).
% 77.22/10.17 fof(f11530,plain,(
% 77.22/10.17 spl0_283|spl0_282|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11529,f10489,f10486,f3390])).
% 77.22/10.17 fof(f11573,plain,(
% 77.22/10.17 empty(singleton(empty_set))|in(empty_set,singleton(empty_set))),
% 77.22/10.17 inference(resolution,[status(thm)],[f257,f7395])).
% 77.22/10.17 fof(f11574,plain,(
% 77.22/10.17 spl0_291|spl0_312),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11573,f10536,f10944])).
% 77.22/10.17 fof(f11577,plain,(
% 77.22/10.17 ![X0]: (empty(X0)|in(sk0_39(X0),X0))),
% 77.22/10.17 inference(resolution,[status(thm)],[f257,f399])).
% 77.22/10.17 fof(f11588,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(identity_relation(X0))|identity_relation(X0)=empty_set|in(sk0_2(X1,identity_relation(X0),empty_set),X0)|~spl0_10|~spl0_24|~spl0_330)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f678,f11318])).
% 77.22/10.17 fof(f11589,plain,(
% 77.22/10.17 ![X0,X1]: (identity_relation(X0)=empty_set|in(sk0_2(X1,identity_relation(X0),empty_set),X0)|~spl0_10|~spl0_24|~spl0_330)),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f11588,f388])).
% 77.22/10.17 fof(f11603,plain,(
% 77.22/10.17 ![X0,X1]: (identity_relation(singleton(X0))=empty_set|sk0_2(X1,identity_relation(singleton(X0)),empty_set)=X0|~spl0_10|~spl0_24|~spl0_330)),
% 77.22/10.17 inference(resolution,[status(thm)],[f11589,f755])).
% 77.22/10.17 fof(f11643,plain,(
% 77.22/10.17 spl0_346 <=> ~relation(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(ordered_pair(X0,sk0_3(X1,identity_relation(singleton(X0)),empty_set)),empty_set)|~in(identity_relation(singleton(X0)),ordered_pair(sk0_2(X1,identity_relation(singleton(X0)),empty_set),sk0_3(X1,identity_relation(singleton(X0)),empty_set)))|identity_relation(singleton(X0))=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11646,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|~relation(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(ordered_pair(X0,sk0_3(X1,identity_relation(singleton(X0)),empty_set)),empty_set)|~in(identity_relation(singleton(X0)),ordered_pair(sk0_2(X1,identity_relation(singleton(X0)),empty_set),sk0_3(X1,identity_relation(singleton(X0)),empty_set)))|identity_relation(singleton(X0))=empty_set|~spl0_10|~spl0_24|~spl0_330)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f11603,f5797])).
% 77.22/10.17 fof(f11647,plain,(
% 77.22/10.17 ~spl0_4|spl0_346|~spl0_10|~spl0_24|~spl0_330),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11646,f799,f11643,f2097,f3762,f11288])).
% 77.22/10.17 fof(f11648,plain,(
% 77.22/10.17 spl0_347 <=> ~relation(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(ordered_pair(X0,sk0_3(X1,identity_relation(singleton(X0)),empty_set)),empty_set)|in(sk0_2(X1,identity_relation(singleton(X0)),empty_set),relation_dom(identity_relation(singleton(X0))))|identity_relation(singleton(X0))=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11651,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|~relation(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(ordered_pair(X0,sk0_3(X1,identity_relation(singleton(X0)),empty_set)),empty_set)|in(sk0_2(X1,identity_relation(singleton(X0)),empty_set),relation_dom(identity_relation(singleton(X0))))|identity_relation(singleton(X0))=empty_set|~spl0_10|~spl0_24|~spl0_330)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f11603,f5788])).
% 77.22/10.17 fof(f11652,plain,(
% 77.22/10.17 ~spl0_4|spl0_347|~spl0_10|~spl0_24|~spl0_330),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11651,f799,f11648,f2097,f3762,f11288])).
% 77.22/10.17 fof(f11653,plain,(
% 77.22/10.17 spl0_348 <=> ~relation(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(sk0_2(X1,identity_relation(singleton(X0)),empty_set),X1)|~in(identity_relation(singleton(X0)),ordered_pair(X0,sk0_3(X1,identity_relation(singleton(X0)),empty_set)))|identity_relation(singleton(X0))=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11656,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|~relation(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(sk0_2(X1,identity_relation(singleton(X0)),empty_set),X1)|~in(identity_relation(singleton(X0)),ordered_pair(X0,sk0_3(X1,identity_relation(singleton(X0)),empty_set)))|identity_relation(singleton(X0))=empty_set|~spl0_10|~spl0_24|~spl0_330)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f11603,f5776])).
% 77.22/10.17 fof(f11657,plain,(
% 77.22/10.17 ~spl0_4|spl0_348|~spl0_10|~spl0_24|~spl0_330),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11656,f799,f11653,f2097,f3762,f11288])).
% 77.22/10.17 fof(f11658,plain,(
% 77.22/10.17 spl0_349 <=> ~relation(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(sk0_2(X1,identity_relation(singleton(X0)),empty_set),X1)|in(X0,relation_dom(identity_relation(singleton(X0))))|identity_relation(singleton(X0))=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11661,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|~relation(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(sk0_2(X1,identity_relation(singleton(X0)),empty_set),X1)|in(X0,relation_dom(identity_relation(singleton(X0))))|identity_relation(singleton(X0))=empty_set|~spl0_10|~spl0_24|~spl0_330)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f11603,f5767])).
% 77.22/10.17 fof(f11662,plain,(
% 77.22/10.17 ~spl0_4|spl0_349|~spl0_10|~spl0_24|~spl0_330),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11661,f799,f11658,f2097,f3762,f11288])).
% 77.22/10.17 fof(f11663,plain,(
% 77.22/10.17 spl0_350 <=> ~relation(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(ordered_pair(X0,sk0_3(X1,identity_relation(singleton(X0)),empty_set)),identity_relation(singleton(X0)))|in(ordered_pair(sk0_2(X1,identity_relation(singleton(X0)),empty_set),sk0_3(X1,identity_relation(singleton(X0)),empty_set)),empty_set)|identity_relation(singleton(X0))=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11666,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|~relation(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(ordered_pair(X0,sk0_3(X1,identity_relation(singleton(X0)),empty_set)),identity_relation(singleton(X0)))|in(ordered_pair(sk0_2(X1,identity_relation(singleton(X0)),empty_set),sk0_3(X1,identity_relation(singleton(X0)),empty_set)),empty_set)|identity_relation(singleton(X0))=empty_set|~spl0_10|~spl0_24|~spl0_330)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f11603,f215])).
% 77.22/10.17 fof(f11667,plain,(
% 77.22/10.17 ~spl0_4|spl0_350|~spl0_10|~spl0_24|~spl0_330),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11666,f799,f11663,f2097,f3762,f11288])).
% 77.22/10.17 fof(f11668,plain,(
% 77.22/10.17 spl0_351 <=> ~relation(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(ordered_pair(X0,sk0_3(X1,identity_relation(singleton(X0)),empty_set)),identity_relation(singleton(X0)))|in(sk0_2(X1,identity_relation(singleton(X0)),empty_set),X1)|identity_relation(singleton(X0))=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11671,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|~relation(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(ordered_pair(X0,sk0_3(X1,identity_relation(singleton(X0)),empty_set)),identity_relation(singleton(X0)))|in(sk0_2(X1,identity_relation(singleton(X0)),empty_set),X1)|identity_relation(singleton(X0))=empty_set|~spl0_10|~spl0_24|~spl0_330)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f11603,f214])).
% 77.22/10.17 fof(f11672,plain,(
% 77.22/10.17 ~spl0_4|spl0_351|~spl0_10|~spl0_24|~spl0_330),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11671,f799,f11668,f2097,f3762,f11288])).
% 77.22/10.17 fof(f11673,plain,(
% 77.22/10.17 spl0_352 <=> ~relation(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|~in(ordered_pair(X0,sk0_3(X1,identity_relation(singleton(X0)),empty_set)),identity_relation(singleton(X0)))|~in(sk0_2(X1,identity_relation(singleton(X0)),empty_set),X1)|~in(ordered_pair(sk0_2(X1,identity_relation(singleton(X0)),empty_set),sk0_3(X1,identity_relation(singleton(X0)),empty_set)),empty_set)|identity_relation(singleton(X0))=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11676,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|~relation(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|~in(ordered_pair(X0,sk0_3(X1,identity_relation(singleton(X0)),empty_set)),identity_relation(singleton(X0)))|~in(sk0_2(X1,identity_relation(singleton(X0)),empty_set),X1)|~in(ordered_pair(sk0_2(X1,identity_relation(singleton(X0)),empty_set),sk0_3(X1,identity_relation(singleton(X0)),empty_set)),empty_set)|identity_relation(singleton(X0))=empty_set|~spl0_10|~spl0_24|~spl0_330)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f11603,f213])).
% 77.22/10.17 fof(f11677,plain,(
% 77.22/10.17 ~spl0_4|spl0_352|~spl0_10|~spl0_24|~spl0_330),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11676,f799,f11673,f2097,f3762,f11288])).
% 77.22/10.17 fof(f11700,plain,(
% 77.22/10.17 ![X0,X1]: (relation(singleton(X0))|in(X0,powerset(set_union2(X1,sk0_6(singleton(X0)))))|~spl0_156)),
% 77.22/10.17 inference(resolution,[status(thm)],[f10145,f3377])).
% 77.22/10.17 fof(f11703,plain,(
% 77.22/10.17 ![X0]: (relation(singleton(X0))|in(X0,powerset(sk0_6(singleton(X0))))|~spl0_156)),
% 77.22/10.17 inference(resolution,[status(thm)],[f10145,f745])).
% 77.22/10.17 fof(f11758,plain,(
% 77.22/10.17 ![X0]: (relation(singleton(X0))|subset(X0,sk0_6(singleton(X0)))|~spl0_156)),
% 77.22/10.17 inference(resolution,[status(thm)],[f11703,f758])).
% 77.22/10.17 fof(f11837,plain,(
% 77.22/10.17 ![X0]: (relation(singleton(singleton(X0)))|in(X0,sk0_6(singleton(singleton(X0))))|~spl0_156)),
% 77.22/10.17 inference(resolution,[status(thm)],[f11758,f454])).
% 77.22/10.17 fof(f11925,plain,(
% 77.22/10.17 spl0_353 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~relation(unordered_pair(X2,ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X3)))|in(X0,relation_dom(unordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X3),X2)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11928,plain,(
% 77.22/10.17 ![X0,X1,X2,X3]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|~relation(unordered_pair(X2,ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X3)))|in(X0,relation_dom(unordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X3),X2)))|~spl0_126|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5954,f7478])).
% 77.22/10.17 fof(f11929,plain,(
% 77.22/10.17 spl0_353|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11928,f11925,f794,f5769,f5790])).
% 77.22/10.17 fof(f11930,plain,(
% 77.22/10.17 spl0_354 <=> empty_set=relation_dom_restriction(empty_set,X0)|~relation(unordered_pair(X1,ordered_pair(sk0_2(X0,empty_set,empty_set),X2)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11933,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(empty_set)|empty_set=relation_dom_restriction(empty_set,X0)|~empty(empty_set)|~relation(unordered_pair(X1,ordered_pair(sk0_2(X0,empty_set,empty_set),X2)))|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f7478])).
% 77.22/10.17 fof(f11934,plain,(
% 77.22/10.17 ~spl0_4|spl0_354|~spl0_3|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11933,f799,f11930,f794,f5790,f2097,f3762])).
% 77.22/10.17 fof(f11944,plain,(
% 77.22/10.17 spl0_355 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~relation(unordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3))|in(X0,relation_dom(unordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11947,plain,(
% 77.22/10.17 ![X0,X1,X2,X3]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|~relation(unordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3))|in(X0,relation_dom(unordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3)))|~spl0_126|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5954,f7479])).
% 77.22/10.17 fof(f11948,plain,(
% 77.22/10.17 spl0_355|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11947,f11944,f794,f5769,f5790])).
% 77.22/10.17 fof(f11949,plain,(
% 77.22/10.17 spl0_356 <=> empty_set=relation_dom_restriction(empty_set,X0)|~relation(unordered_pair(ordered_pair(sk0_2(X0,empty_set,empty_set),X1),X2))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f11952,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(empty_set)|empty_set=relation_dom_restriction(empty_set,X0)|~empty(empty_set)|~relation(unordered_pair(ordered_pair(sk0_2(X0,empty_set,empty_set),X1),X2))|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f7479])).
% 77.22/10.17 fof(f11953,plain,(
% 77.22/10.17 ~spl0_4|spl0_356|~spl0_3|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f11952,f799,f11949,f794,f5790,f2097,f3762])).
% 77.22/10.17 fof(f11964,plain,(
% 77.22/10.17 $false|~spl0_339),
% 77.22/10.17 inference(backward_subsumption_resolution,[status(thm)],[f404,f11482])).
% 77.22/10.17 fof(f11965,plain,(
% 77.22/10.17 ~spl0_339),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f11964])).
% 77.22/10.17 fof(f12091,plain,(
% 77.22/10.17 spl0_357 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~relation(unordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3))|in(X0,relation_dom(unordered_pair(X3,ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f12094,plain,(
% 77.22/10.17 ![X0,X1,X2,X3]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|~relation(unordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3))|in(X0,relation_dom(unordered_pair(X3,ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2))))|~spl0_126|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5954,f7480])).
% 77.22/10.17 fof(f12095,plain,(
% 77.22/10.17 spl0_357|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f12094,f12091,f794,f5769,f5790])).
% 77.22/10.17 fof(f12131,plain,(
% 77.22/10.17 ![X0]: (relation(X0)|~empty(X0))),
% 77.22/10.17 inference(resolution,[status(thm)],[f2113,f2112])).
% 77.22/10.17 fof(f12270,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~empty(X0)|~relation(X1)|~relation(X0)|X0=relation_dom_restriction(X1,X2)|in(ordered_pair(sk0_2(X2,X0,X1),sk0_3(X2,X0,X1)),X1))),
% 77.22/10.17 inference(resolution,[status(thm)],[f688,f215])).
% 77.22/10.17 fof(f12271,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~empty(X0)|~relation(X1)|X0=relation_dom_restriction(X1,X2)|in(ordered_pair(sk0_2(X2,X0,X1),sk0_3(X2,X0,X1)),X1))),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f12270,f12131])).
% 77.22/10.17 fof(f12272,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~empty(X0)|~relation(X1)|~relation(X0)|X0=relation_dom_restriction(X1,X2)|in(sk0_2(X2,X0,X1),X2))),
% 77.22/10.17 inference(resolution,[status(thm)],[f688,f214])).
% 77.22/10.17 fof(f12273,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~empty(X0)|~relation(X1)|X0=relation_dom_restriction(X1,X2)|in(sk0_2(X2,X0,X1),X2))),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f12272,f12131])).
% 77.22/10.17 fof(f12280,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(X0)|~relation(X0)|X0=identity_relation(X1)|in(sk0_0(X1,X0),X1))),
% 77.22/10.17 inference(resolution,[status(thm)],[f688,f199])).
% 77.22/10.17 fof(f12281,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(X0)|X0=identity_relation(X1)|in(sk0_0(X1,X0),X1))),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f12280,f12131])).
% 77.22/10.17 fof(f12349,plain,(
% 77.22/10.17 ![X0,X1]: (sk0_0(unordered_pair(X0,X1),empty_set)=X0|sk0_0(unordered_pair(X0,X1),empty_set)=X1|empty_set=identity_relation(unordered_pair(X0,X1))|~spl0_12)),
% 77.22/10.17 inference(resolution,[status(thm)],[f760,f3391])).
% 77.22/10.17 fof(f12406,plain,(
% 77.22/10.17 spl0_358 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~relation(unordered_pair(X2,ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X3)))|in(X0,relation_dom(unordered_pair(X2,ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X3))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f12409,plain,(
% 77.22/10.17 ![X0,X1,X2,X3]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|~relation(unordered_pair(X2,ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X3)))|in(X0,relation_dom(unordered_pair(X2,ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X3))))|~spl0_126|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5954,f7481])).
% 77.22/10.17 fof(f12410,plain,(
% 77.22/10.17 spl0_358|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f12409,f12406,f794,f5769,f5790])).
% 77.22/10.17 fof(f12517,plain,(
% 77.22/10.17 ![X0,X1]: (relation(singleton(X0))|in(X0,powerset(set_union2(X1,X0)))|relation(singleton(X0))|~spl0_156)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f7719,f11700])).
% 77.22/10.17 fof(f12518,plain,(
% 77.22/10.17 ![X0,X1]: (relation(singleton(X0))|in(X0,powerset(set_union2(X1,X0)))|~spl0_156)),
% 77.22/10.17 inference(duplicate_literals_removal,[status(esa)],[f12517])).
% 77.22/10.17 fof(f12519,plain,(
% 77.22/10.17 spl0_359 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~relation(sk0_56(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2)))|in(X0,relation_dom(sk0_56(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f12522,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|~relation(sk0_56(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2)))|in(X0,relation_dom(sk0_56(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2))))|~spl0_126|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5954,f7482])).
% 77.22/10.17 fof(f12523,plain,(
% 77.22/10.17 spl0_359|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f12522,f12519,f794,f5769,f5790])).
% 77.22/10.17 fof(f12524,plain,(
% 77.22/10.17 spl0_360 <=> empty_set=relation_dom_restriction(empty_set,X0)|~relation(sk0_56(ordered_pair(sk0_2(X0,empty_set,empty_set),X1)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f12527,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|empty_set=relation_dom_restriction(empty_set,X0)|~empty(empty_set)|~relation(sk0_56(ordered_pair(sk0_2(X0,empty_set,empty_set),X1)))|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f7482])).
% 77.22/10.17 fof(f12528,plain,(
% 77.22/10.17 ~spl0_4|spl0_360|~spl0_3|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f12527,f799,f12524,f794,f5790,f2097,f3762])).
% 77.22/10.17 fof(f12533,plain,(
% 77.22/10.17 spl0_361 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~relation(sk0_47(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2)))|in(X0,relation_dom(sk0_47(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f12536,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|~relation(sk0_47(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2)))|in(X0,relation_dom(sk0_47(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2))))|~spl0_126|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5954,f7483])).
% 77.22/10.17 fof(f12537,plain,(
% 77.22/10.17 spl0_361|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f12536,f12533,f794,f5769,f5790])).
% 77.22/10.17 fof(f12538,plain,(
% 77.22/10.17 spl0_362 <=> empty_set=relation_dom_restriction(empty_set,X0)|~relation(sk0_47(ordered_pair(sk0_2(X0,empty_set,empty_set),X1)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f12541,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|empty_set=relation_dom_restriction(empty_set,X0)|~empty(empty_set)|~relation(sk0_47(ordered_pair(sk0_2(X0,empty_set,empty_set),X1)))|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f7483])).
% 77.22/10.17 fof(f12542,plain,(
% 77.22/10.17 ~spl0_4|spl0_362|~spl0_3|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f12541,f799,f12538,f794,f5790,f2097,f3762])).
% 77.22/10.17 fof(f12599,plain,(
% 77.22/10.17 ![X0,X1]: (relation(singleton(X0))|~in(powerset(set_union2(X1,X0)),X0)|~spl0_156)),
% 77.22/10.17 inference(resolution,[status(thm)],[f12518,f183])).
% 77.22/10.17 fof(f12601,plain,(
% 77.22/10.17 spl0_363 <=> in(empty_set,powerset(X0))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f12604,plain,(
% 77.22/10.17 ![X0]: (relation(singleton(empty_set))|in(empty_set,powerset(X0))|~spl0_156)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f534,f12518])).
% 77.22/10.17 fof(f12605,plain,(
% 77.22/10.17 spl0_299|spl0_363|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f12604,f10674,f12601,f6530])).
% 77.22/10.17 fof(f12606,plain,(
% 77.22/10.17 ![X0,X1]: (relation(singleton(X0))|in(X0,powerset(set_union2(X0,X1)))|~spl0_156)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f189,f12518])).
% 77.22/10.17 fof(f12609,plain,(
% 77.22/10.17 $false|spl0_324|~spl0_299),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f10675,f11233])).
% 77.22/10.17 fof(f12610,plain,(
% 77.22/10.17 spl0_324|~spl0_299),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f12609])).
% 77.22/10.17 fof(f12638,plain,(
% 77.22/10.17 spl0_364 <=> ~in(powerset(X0),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f12641,plain,(
% 77.22/10.17 ![X0]: (relation(singleton(empty_set))|~in(powerset(X0),empty_set)|~spl0_156)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f534,f12599])).
% 77.22/10.17 fof(f12642,plain,(
% 77.22/10.17 spl0_299|spl0_364|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f12641,f10674,f12638,f6530])).
% 77.22/10.17 fof(f13335,plain,(
% 77.22/10.17 spl0_372 <=> empty_set=identity_relation(unordered_pair(X0,X1))|sk0_0(unordered_pair(X0,X1),empty_set)=sk0_1(unordered_pair(X0,X1),empty_set)|~in(empty_set,ordered_pair(X1,sk0_1(unordered_pair(X0,X1),empty_set)))|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13338,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|empty_set=identity_relation(unordered_pair(X0,X1))|sk0_0(unordered_pair(X0,X1),empty_set)=sk0_1(unordered_pair(X0,X1),empty_set)|~in(empty_set,ordered_pair(X1,sk0_1(unordered_pair(X0,X1),empty_set)))|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))|~spl0_12)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f12349,f3416])).
% 77.22/10.17 fof(f13339,plain,(
% 77.22/10.17 ~spl0_4|spl0_372|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13338,f799,f13335,f3390])).
% 77.22/10.17 fof(f13340,plain,(
% 77.22/10.17 spl0_373 <=> empty_set=identity_relation(unordered_pair(X0,X1))|sk0_0(unordered_pair(X0,X1),empty_set)=sk0_1(unordered_pair(X0,X1),empty_set)|in(X1,relation_dom(empty_set))|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13343,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|empty_set=identity_relation(unordered_pair(X0,X1))|sk0_0(unordered_pair(X0,X1),empty_set)=sk0_1(unordered_pair(X0,X1),empty_set)|in(X1,relation_dom(empty_set))|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))|~spl0_12)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f12349,f3408])).
% 77.22/10.17 fof(f13344,plain,(
% 77.22/10.17 ~spl0_4|spl0_373|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13343,f799,f13340,f3390])).
% 77.22/10.17 fof(f13345,plain,(
% 77.22/10.17 spl0_374 <=> empty_set=identity_relation(unordered_pair(X0,X1))|in(sk0_0(unordered_pair(X0,X1),empty_set),unordered_pair(X0,X1))|~in(empty_set,ordered_pair(X1,sk0_1(unordered_pair(X0,X1),empty_set)))|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13348,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|empty_set=identity_relation(unordered_pair(X0,X1))|in(sk0_0(unordered_pair(X0,X1),empty_set),unordered_pair(X0,X1))|~in(empty_set,ordered_pair(X1,sk0_1(unordered_pair(X0,X1),empty_set)))|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))|~spl0_12)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f12349,f3397])).
% 77.22/10.17 fof(f13349,plain,(
% 77.22/10.17 ~spl0_4|spl0_374|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13348,f799,f13345,f3390])).
% 77.22/10.17 fof(f13350,plain,(
% 77.22/10.17 spl0_375 <=> empty_set=identity_relation(unordered_pair(X0,X1))|in(sk0_0(unordered_pair(X0,X1),empty_set),unordered_pair(X0,X1))|in(X1,relation_dom(empty_set))|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13353,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|empty_set=identity_relation(unordered_pair(X0,X1))|in(sk0_0(unordered_pair(X0,X1),empty_set),unordered_pair(X0,X1))|in(X1,relation_dom(empty_set))|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))|~spl0_12)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f12349,f3389])).
% 77.22/10.17 fof(f13354,plain,(
% 77.22/10.17 ~spl0_4|spl0_375|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13353,f799,f13350,f3390])).
% 77.22/10.17 fof(f13355,plain,(
% 77.22/10.17 spl0_376 <=> empty_set=identity_relation(unordered_pair(X0,X1))|in(ordered_pair(X1,sk0_1(unordered_pair(X0,X1),empty_set)),empty_set)|sk0_0(unordered_pair(X0,X1),empty_set)=sk0_1(unordered_pair(X0,X1),empty_set)|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13358,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|empty_set=identity_relation(unordered_pair(X0,X1))|in(ordered_pair(X1,sk0_1(unordered_pair(X0,X1),empty_set)),empty_set)|sk0_0(unordered_pair(X0,X1),empty_set)=sk0_1(unordered_pair(X0,X1),empty_set)|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))|~spl0_12)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f12349,f200])).
% 77.22/10.17 fof(f13359,plain,(
% 77.22/10.17 ~spl0_4|spl0_376|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13358,f799,f13355,f3390])).
% 77.22/10.17 fof(f13360,plain,(
% 77.22/10.17 spl0_377 <=> empty_set=identity_relation(unordered_pair(X0,X1))|in(ordered_pair(X1,sk0_1(unordered_pair(X0,X1),empty_set)),empty_set)|in(sk0_0(unordered_pair(X0,X1),empty_set),unordered_pair(X0,X1))|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13363,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|empty_set=identity_relation(unordered_pair(X0,X1))|in(ordered_pair(X1,sk0_1(unordered_pair(X0,X1),empty_set)),empty_set)|in(sk0_0(unordered_pair(X0,X1),empty_set),unordered_pair(X0,X1))|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))|~spl0_12)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f12349,f199])).
% 77.22/10.17 fof(f13364,plain,(
% 77.22/10.17 ~spl0_4|spl0_377|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13363,f799,f13360,f3390])).
% 77.22/10.17 fof(f13365,plain,(
% 77.22/10.17 spl0_378 <=> empty_set=identity_relation(unordered_pair(X0,X1))|~in(ordered_pair(X1,sk0_1(unordered_pair(X0,X1),empty_set)),empty_set)|~in(sk0_0(unordered_pair(X0,X1),empty_set),unordered_pair(X0,X1))|~sk0_0(unordered_pair(X0,X1),empty_set)=sk0_1(unordered_pair(X0,X1),empty_set)|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13368,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|empty_set=identity_relation(unordered_pair(X0,X1))|~in(ordered_pair(X1,sk0_1(unordered_pair(X0,X1),empty_set)),empty_set)|~in(sk0_0(unordered_pair(X0,X1),empty_set),unordered_pair(X0,X1))|~sk0_0(unordered_pair(X0,X1),empty_set)=sk0_1(unordered_pair(X0,X1),empty_set)|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))|~spl0_12)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f12349,f198])).
% 77.22/10.17 fof(f13369,plain,(
% 77.22/10.17 ~spl0_4|spl0_378|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13368,f799,f13365,f3390])).
% 77.22/10.17 fof(f13396,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(X0)|X0=X1|~empty(X1))),
% 77.22/10.17 inference(resolution,[status(thm)],[f9090,f2112])).
% 77.22/10.17 fof(f13438,plain,(
% 77.22/10.17 spl0_379 <=> proper_subset(empty_set,relation_dom(X0))|relation_dom(empty_set)=relation_dom(X0)|~relation(X0)|~subset(empty_set,X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13441,plain,(
% 77.22/10.17 ![X0]: (proper_subset(empty_set,relation_dom(X0))|relation_dom(empty_set)=relation_dom(X0)|~relation(empty_set)|~relation(X0)|~subset(empty_set,X0))),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f654,f11519])).
% 77.22/10.17 fof(f13442,plain,(
% 77.22/10.17 spl0_379|~spl0_4),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13441,f13438,f799])).
% 77.22/10.17 fof(f13446,plain,(
% 77.22/10.17 spl0_380 <=> proper_subset(relation_dom(X0),empty_set)|relation_dom(X0)=relation_dom(empty_set)|~relation(X0)|~subset(X0,empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13449,plain,(
% 77.22/10.17 ![X0]: (proper_subset(relation_dom(X0),empty_set)|relation_dom(X0)=relation_dom(empty_set)|~relation(X0)|~relation(empty_set)|~subset(X0,empty_set))),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f654,f11519])).
% 77.22/10.17 fof(f13450,plain,(
% 77.22/10.17 spl0_380|~spl0_4),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13449,f13446,f799])).
% 77.22/10.17 fof(f13476,plain,(
% 77.22/10.17 spl0_381 <=> subset(sk0_6(singleton(singleton(singleton(empty_set)))),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13478,plain,(
% 77.22/10.17 ~subset(sk0_6(singleton(singleton(singleton(empty_set)))),empty_set)|spl0_381),
% 77.22/10.17 inference(component_clause,[status(thm)],[f13476])).
% 77.22/10.17 fof(f13479,plain,(
% 77.22/10.17 spl0_382 <=> relation(singleton(singleton(singleton(empty_set))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13482,plain,(
% 77.22/10.17 ~subset(sk0_6(singleton(singleton(singleton(empty_set)))),empty_set)|relation(singleton(singleton(singleton(empty_set))))|~spl0_156),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f11837])).
% 77.22/10.17 fof(f13483,plain,(
% 77.22/10.17 ~spl0_381|spl0_382|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13482,f13476,f13479,f6530])).
% 77.22/10.17 fof(f13484,plain,(
% 77.22/10.17 spl0_383 <=> ~subset(powerset(set_union2(X0,sk0_6(singleton(singleton(empty_set))))),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13487,plain,(
% 77.22/10.17 spl0_384 <=> relation(singleton(singleton(empty_set)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13490,plain,(
% 77.22/10.17 ![X0]: (~subset(powerset(set_union2(X0,sk0_6(singleton(singleton(empty_set))))),empty_set)|relation(singleton(singleton(empty_set)))|~spl0_156)),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f11700])).
% 77.22/10.17 fof(f13491,plain,(
% 77.22/10.17 spl0_383|spl0_384|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13490,f13484,f13487,f6530])).
% 77.22/10.17 fof(f13492,plain,(
% 77.22/10.17 spl0_385 <=> ~subset(powerset(set_union2(singleton(empty_set),X0)),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13495,plain,(
% 77.22/10.17 ![X0]: (~subset(powerset(set_union2(singleton(empty_set),X0)),empty_set)|relation(singleton(singleton(empty_set)))|~spl0_156)),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f12606])).
% 77.22/10.17 fof(f13496,plain,(
% 77.22/10.17 spl0_385|spl0_384|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13495,f13492,f13487,f6530])).
% 77.22/10.17 fof(f13497,plain,(
% 77.22/10.17 spl0_386 <=> ~subset(powerset(set_union2(X0,singleton(empty_set))),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13500,plain,(
% 77.22/10.17 ![X0]: (~subset(powerset(set_union2(X0,singleton(empty_set))),empty_set)|relation(singleton(singleton(empty_set)))|~spl0_156)),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f12518])).
% 77.22/10.17 fof(f13501,plain,(
% 77.22/10.17 spl0_386|spl0_384|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13500,f13497,f13487,f6530])).
% 77.22/10.17 fof(f13502,plain,(
% 77.22/10.17 spl0_387 <=> subset(powerset(sk0_6(singleton(singleton(empty_set)))),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13505,plain,(
% 77.22/10.17 ~subset(powerset(sk0_6(singleton(singleton(empty_set)))),empty_set)|relation(singleton(singleton(empty_set)))|~spl0_156),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f11703])).
% 77.22/10.17 fof(f13506,plain,(
% 77.22/10.17 ~spl0_387|spl0_384|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13505,f13502,f13487,f6530])).
% 77.22/10.17 fof(f13509,plain,(
% 77.22/10.17 spl0_388 <=> ~subset(unordered_pair(sk0_0(singleton(singleton(empty_set)),empty_set),X0),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13512,plain,(
% 77.22/10.17 spl0_389 <=> empty_set=identity_relation(singleton(singleton(empty_set)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13513,plain,(
% 77.22/10.17 empty_set=identity_relation(singleton(singleton(empty_set)))|~spl0_389),
% 77.22/10.17 inference(component_clause,[status(thm)],[f13512])).
% 77.22/10.17 fof(f13514,plain,(
% 77.22/10.17 ~empty_set=identity_relation(singleton(singleton(empty_set)))|spl0_389),
% 77.22/10.17 inference(component_clause,[status(thm)],[f13512])).
% 77.22/10.17 fof(f13515,plain,(
% 77.22/10.17 ![X0]: (~subset(unordered_pair(sk0_0(singleton(singleton(empty_set)),empty_set),X0),empty_set)|empty_set=identity_relation(singleton(singleton(empty_set)))|~spl0_156|~spl0_12)),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f8511])).
% 77.22/10.17 fof(f13516,plain,(
% 77.22/10.17 spl0_388|spl0_389|~spl0_156|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13515,f13509,f13512,f6530,f3390])).
% 77.22/10.17 fof(f13517,plain,(
% 77.22/10.17 spl0_390 <=> ~subset(unordered_pair(sk0_6(singleton(singleton(empty_set))),X0),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13520,plain,(
% 77.22/10.17 ![X0]: (~subset(unordered_pair(sk0_6(singleton(singleton(empty_set))),X0),empty_set)|relation(singleton(singleton(empty_set)))|~spl0_156)),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f7539])).
% 77.22/10.17 fof(f13521,plain,(
% 77.22/10.17 spl0_390|spl0_384|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13520,f13517,f13487,f6530])).
% 77.22/10.17 fof(f13522,plain,(
% 77.22/10.17 spl0_391 <=> ~subset(unordered_pair(X0,sk0_0(singleton(singleton(empty_set)),empty_set)),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13525,plain,(
% 77.22/10.17 ![X0]: (~subset(unordered_pair(X0,sk0_0(singleton(singleton(empty_set)),empty_set)),empty_set)|empty_set=identity_relation(singleton(singleton(empty_set)))|~spl0_156|~spl0_12)),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f8510])).
% 77.22/10.17 fof(f13526,plain,(
% 77.22/10.17 spl0_391|spl0_389|~spl0_156|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13525,f13522,f13512,f6530,f3390])).
% 77.22/10.17 fof(f13527,plain,(
% 77.22/10.17 spl0_392 <=> ~subset(unordered_pair(X0,sk0_6(singleton(singleton(empty_set)))),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13530,plain,(
% 77.22/10.17 ![X0]: (~subset(unordered_pair(X0,sk0_6(singleton(singleton(empty_set)))),empty_set)|relation(singleton(singleton(empty_set)))|~spl0_156)),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f7538])).
% 77.22/10.17 fof(f13531,plain,(
% 77.22/10.17 spl0_392|spl0_384|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13530,f13527,f13487,f6530])).
% 77.22/10.17 fof(f13534,plain,(
% 77.22/10.17 spl0_393 <=> subset(sk0_56(sk0_0(singleton(singleton(empty_set)),empty_set)),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13536,plain,(
% 77.22/10.17 ~subset(sk0_56(sk0_0(singleton(singleton(empty_set)),empty_set)),empty_set)|spl0_393),
% 77.22/10.17 inference(component_clause,[status(thm)],[f13534])).
% 77.22/10.17 fof(f13537,plain,(
% 77.22/10.17 ~subset(sk0_56(sk0_0(singleton(singleton(empty_set)),empty_set)),empty_set)|empty_set=identity_relation(singleton(singleton(empty_set)))|~spl0_156|~spl0_12),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f8513])).
% 77.22/10.17 fof(f13538,plain,(
% 77.22/10.17 ~spl0_393|spl0_389|~spl0_156|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13537,f13534,f13512,f6530,f3390])).
% 77.22/10.17 fof(f13539,plain,(
% 77.22/10.17 spl0_394 <=> subset(sk0_56(sk0_6(singleton(singleton(empty_set)))),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13542,plain,(
% 77.22/10.17 ~subset(sk0_56(sk0_6(singleton(singleton(empty_set)))),empty_set)|relation(singleton(singleton(empty_set)))|~spl0_156),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f7540])).
% 77.22/10.17 fof(f13543,plain,(
% 77.22/10.17 ~spl0_394|spl0_384|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13542,f13539,f13487,f6530])).
% 77.22/10.17 fof(f13545,plain,(
% 77.22/10.17 spl0_395 <=> subset(sk0_47(sk0_0(singleton(singleton(empty_set)),empty_set)),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13547,plain,(
% 77.22/10.17 ~subset(sk0_47(sk0_0(singleton(singleton(empty_set)),empty_set)),empty_set)|spl0_395),
% 77.22/10.17 inference(component_clause,[status(thm)],[f13545])).
% 77.22/10.17 fof(f13548,plain,(
% 77.22/10.17 ~subset(sk0_47(sk0_0(singleton(singleton(empty_set)),empty_set)),empty_set)|empty_set=identity_relation(singleton(singleton(empty_set)))|~spl0_156|~spl0_12),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f8515])).
% 77.22/10.17 fof(f13549,plain,(
% 77.22/10.17 ~spl0_395|spl0_389|~spl0_156|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13548,f13545,f13512,f6530,f3390])).
% 77.22/10.17 fof(f13550,plain,(
% 77.22/10.17 spl0_396 <=> subset(sk0_47(sk0_6(singleton(singleton(empty_set)))),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13553,plain,(
% 77.22/10.17 ~subset(sk0_47(sk0_6(singleton(singleton(empty_set)))),empty_set)|relation(singleton(singleton(empty_set)))|~spl0_156),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f7541])).
% 77.22/10.17 fof(f13554,plain,(
% 77.22/10.17 ~spl0_396|spl0_384|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13553,f13550,f13487,f6530])).
% 77.22/10.17 fof(f13556,plain,(
% 77.22/10.17 spl0_397 <=> subset(singleton(sk0_0(singleton(singleton(empty_set)),empty_set)),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13558,plain,(
% 77.22/10.17 ~subset(singleton(sk0_0(singleton(singleton(empty_set)),empty_set)),empty_set)|spl0_397),
% 77.22/10.17 inference(component_clause,[status(thm)],[f13556])).
% 77.22/10.17 fof(f13559,plain,(
% 77.22/10.17 ~subset(singleton(sk0_0(singleton(singleton(empty_set)),empty_set)),empty_set)|empty_set=identity_relation(singleton(singleton(empty_set)))|~spl0_156|~spl0_12),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f8517])).
% 77.22/10.17 fof(f13560,plain,(
% 77.22/10.17 ~spl0_397|spl0_389|~spl0_156|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13559,f13556,f13512,f6530,f3390])).
% 77.22/10.17 fof(f13561,plain,(
% 77.22/10.17 spl0_398 <=> subset(singleton(sk0_6(singleton(singleton(empty_set)))),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13564,plain,(
% 77.22/10.17 ~subset(singleton(sk0_6(singleton(singleton(empty_set)))),empty_set)|relation(singleton(singleton(empty_set)))|~spl0_156),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f7542])).
% 77.22/10.17 fof(f13565,plain,(
% 77.22/10.17 ~spl0_398|spl0_384|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13564,f13561,f13487,f6530])).
% 77.22/10.17 fof(f13568,plain,(
% 77.22/10.17 spl0_399 <=> ~subset(relation_dom(singleton(ordered_pair(sk0_6(singleton(singleton(empty_set))),X0))),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13571,plain,(
% 77.22/10.17 ![X0]: (~subset(relation_dom(singleton(ordered_pair(sk0_6(singleton(singleton(empty_set))),X0))),empty_set)|relation(singleton(singleton(empty_set)))|~spl0_156)),
% 77.22/10.17 inference(resolution,[status(thm)],[f11360,f7769])).
% 77.22/10.17 fof(f13572,plain,(
% 77.22/10.17 spl0_399|spl0_384|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13571,f13568,f13487,f6530])).
% 77.22/10.17 fof(f13708,plain,(
% 77.22/10.17 spl0_400 <=> ~empty(X0)|X0=relation_dom_restriction(empty_set,X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13711,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(X0)|~relation(empty_set)|X0=relation_dom_restriction(empty_set,X1))),
% 77.22/10.17 inference(resolution,[status(thm)],[f12271,f757])).
% 77.22/10.17 fof(f13712,plain,(
% 77.22/10.17 spl0_400|~spl0_4),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13711,f13708,f799])).
% 77.22/10.17 fof(f13716,plain,(
% 77.22/10.17 spl0_401 <=> ~empty(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(ordered_pair(X0,sk0_3(X1,identity_relation(singleton(X0)),empty_set)),empty_set)|identity_relation(singleton(X0))=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13719,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(identity_relation(singleton(X0)))|~relation(empty_set)|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(ordered_pair(X0,sk0_3(X1,identity_relation(singleton(X0)),empty_set)),empty_set)|identity_relation(singleton(X0))=empty_set|~spl0_10|~spl0_24|~spl0_330)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f11603,f12271])).
% 77.22/10.17 fof(f13720,plain,(
% 77.22/10.17 spl0_401|~spl0_4|~spl0_10|~spl0_24|~spl0_330),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13719,f13716,f799,f2097,f3762,f11288])).
% 77.22/10.17 fof(f13721,plain,(
% 77.22/10.17 spl0_402 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(ordered_pair(X0,sk0_3(X1,empty_set,identity_relation(singleton(X0)))),identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13724,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(empty_set)|~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(ordered_pair(X0,sk0_3(X1,empty_set,identity_relation(singleton(X0)))),identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5903,f12271])).
% 77.22/10.17 fof(f13725,plain,(
% 77.22/10.17 ~spl0_3|spl0_402|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13724,f794,f13721,f5790])).
% 77.22/10.17 fof(f13726,plain,(
% 77.22/10.17 spl0_403 <=> ~relation(relation_dom_restriction(identity_relation(X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),relation_dom_restriction(identity_relation(X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13729,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~empty(empty_set)|~relation(relation_dom_restriction(identity_relation(X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|in(ordered_pair(sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1)),sk0_2(X2,empty_set,relation_dom_restriction(identity_relation(X0),X1))),relation_dom_restriction(identity_relation(X0),X1))|empty_set=relation_dom_restriction(relation_dom_restriction(identity_relation(X0),X1),X2)|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f7119,f12271])).
% 77.22/10.17 fof(f13730,plain,(
% 77.22/10.17 ~spl0_3|spl0_403|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13729,f794,f13726,f5790])).
% 77.22/10.17 fof(f13731,plain,(
% 77.22/10.17 spl0_404 <=> ~relation(identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_2(X1,empty_set,identity_relation(X0))),identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f13734,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(empty_set)|~relation(identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|in(ordered_pair(sk0_2(X1,empty_set,identity_relation(X0)),sk0_2(X1,empty_set,identity_relation(X0))),identity_relation(X0))|empty_set=relation_dom_restriction(identity_relation(X0),X1)|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5885,f12271])).
% 77.22/10.17 fof(f13735,plain,(
% 77.22/10.17 ~spl0_3|spl0_404|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f13734,f794,f13731,f5790])).
% 77.22/10.17 fof(f13881,plain,(
% 77.22/10.17 ![X0]: (empty(powerset(X0))|subset(sk0_39(powerset(X0)),X0))),
% 77.22/10.17 inference(resolution,[status(thm)],[f11577,f758])).
% 77.22/10.17 fof(f13882,plain,(
% 77.22/10.17 ![X0]: (subset(sk0_39(powerset(X0)),X0))),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f13881,f403])).
% 77.22/10.17 fof(f13895,plain,(
% 77.22/10.17 ![X0]: (empty(singleton(X0))|sk0_39(singleton(X0))=X0)),
% 77.22/10.17 inference(resolution,[status(thm)],[f11577,f755])).
% 77.22/10.17 fof(f13896,plain,(
% 77.22/10.17 ![X0]: (sk0_39(singleton(X0))=X0)),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f13895,f408])).
% 77.22/10.17 fof(f13948,plain,(
% 77.22/10.17 ![X0,X1,X2]: (in(ordered_pair(sk0_2(X0,empty_set,set_union2(X1,X2)),sk0_3(X0,empty_set,set_union2(X1,X2))),X1)|in(ordered_pair(sk0_2(X0,empty_set,set_union2(X1,X2)),sk0_3(X0,empty_set,set_union2(X1,X2))),X2)|~relation(set_union2(X1,X2))|empty_set=relation_dom_restriction(set_union2(X1,X2),X0)|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f763,f5791])).
% 77.22/10.17 fof(f14109,plain,(
% 77.22/10.17 spl0_406 <=> empty(singleton(singleton(empty_set)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f14434,plain,(
% 77.22/10.17 spl0_415 <=> subset(singleton(singleton(empty_set)),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f14442,plain,(
% 77.22/10.17 relation_rng(empty_set)=singleton(singleton(empty_set))|~spl0_389),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f13513,f679])).
% 77.22/10.17 fof(f14443,plain,(
% 77.22/10.17 empty_set=singleton(singleton(empty_set))|~spl0_389),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f655,f14442])).
% 77.22/10.17 fof(f14444,plain,(
% 77.22/10.17 $false|~spl0_389),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f14443,f445])).
% 77.22/10.17 fof(f14445,plain,(
% 77.22/10.17 ~spl0_389),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f14444])).
% 77.22/10.17 fof(f14446,plain,(
% 77.22/10.17 ~empty(singleton(singleton(empty_set)))|~empty(empty_set)|spl0_389),
% 77.22/10.17 inference(resolution,[status(thm)],[f13514,f7209])).
% 77.22/10.17 fof(f14447,plain,(
% 77.22/10.17 ~spl0_406|~spl0_3|spl0_389),
% 77.22/10.17 inference(split_clause,[status(thm)],[f14446,f14109,f794,f13512])).
% 77.22/10.17 fof(f14450,plain,(
% 77.22/10.17 spl0_416 <=> in(singleton(singleton(empty_set)),powerset(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f14453,plain,(
% 77.22/10.17 relation(singleton(singleton(singleton(empty_set))))|~in(singleton(singleton(empty_set)),powerset(empty_set))|spl0_381|~spl0_156),
% 77.22/10.17 inference(resolution,[status(thm)],[f13478,f10112])).
% 77.22/10.17 fof(f14454,plain,(
% 77.22/10.17 spl0_382|~spl0_416|spl0_381|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f14453,f13479,f14450,f13476,f6530])).
% 77.22/10.17 fof(f14497,plain,(
% 77.22/10.17 spl0_417 <=> subset(sk0_56(singleton(empty_set)),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f14500,plain,(
% 77.22/10.17 ~subset(sk0_56(singleton(empty_set)),empty_set)|empty_set=identity_relation(singleton(singleton(empty_set)))|spl0_393|~spl0_12),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5724,f13536])).
% 77.22/10.17 fof(f14501,plain,(
% 77.22/10.17 ~spl0_417|spl0_389|spl0_393|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f14500,f14497,f13512,f13534,f3390])).
% 77.22/10.17 fof(f14503,plain,(
% 77.22/10.17 spl0_418 <=> subset(sk0_47(singleton(empty_set)),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f14506,plain,(
% 77.22/10.17 ~subset(sk0_47(singleton(empty_set)),empty_set)|empty_set=identity_relation(singleton(singleton(empty_set)))|spl0_395|~spl0_12),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5724,f13547])).
% 77.22/10.17 fof(f14507,plain,(
% 77.22/10.17 ~spl0_418|spl0_389|spl0_395|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f14506,f14503,f13512,f13545,f3390])).
% 77.22/10.17 fof(f14509,plain,(
% 77.22/10.17 ~subset(singleton(singleton(empty_set)),empty_set)|empty_set=identity_relation(singleton(singleton(empty_set)))|spl0_397|~spl0_12),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5724,f13558])).
% 77.22/10.17 fof(f14510,plain,(
% 77.22/10.17 ~spl0_415|spl0_389|spl0_397|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f14509,f14434,f13512,f13556,f3390])).
% 77.22/10.17 fof(f14511,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(singleton(ordered_pair(sk0_2(X1,empty_set,X0),X2)))))|~spl0_156|~spl0_127)),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f7484,f7723])).
% 77.22/10.17 fof(f14512,plain,(
% 77.22/10.17 spl0_419 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,relation_dom(singleton(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f14515,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|in(X0,relation_dom(singleton(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2))))|~spl0_156|~spl0_126|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5954,f14511])).
% 77.22/10.17 fof(f14516,plain,(
% 77.22/10.17 spl0_419|~spl0_3|~spl0_156|~spl0_126|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f14515,f14512,f794,f6530,f5769,f5790])).
% 77.22/10.17 fof(f14523,plain,(
% 77.22/10.17 spl0_420 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~relation(sk0_56(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3)))|~relation(relation_dom(sk0_56(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3))))|in(X0,relation_dom(relation_dom(sk0_56(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3)))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f14526,plain,(
% 77.22/10.17 ![X0,X1,X2,X3]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|~relation(sk0_56(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3)))|~relation(relation_dom(sk0_56(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3))))|in(X0,relation_dom(relation_dom(sk0_56(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3)))))|~spl0_126|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5954,f7485])).
% 77.22/10.17 fof(f14527,plain,(
% 77.22/10.17 spl0_420|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f14526,f14523,f794,f5769,f5790])).
% 77.22/10.17 fof(f14528,plain,(
% 77.22/10.17 spl0_421 <=> empty_set=relation_dom_restriction(empty_set,X0)|~relation(sk0_56(ordered_pair(ordered_pair(sk0_2(X0,empty_set,empty_set),X1),X2)))|~relation(relation_dom(sk0_56(ordered_pair(ordered_pair(sk0_2(X0,empty_set,empty_set),X1),X2))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f14531,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(empty_set)|empty_set=relation_dom_restriction(empty_set,X0)|~empty(empty_set)|~relation(sk0_56(ordered_pair(ordered_pair(sk0_2(X0,empty_set,empty_set),X1),X2)))|~relation(relation_dom(sk0_56(ordered_pair(ordered_pair(sk0_2(X0,empty_set,empty_set),X1),X2))))|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f7485])).
% 77.22/10.17 fof(f14532,plain,(
% 77.22/10.17 ~spl0_4|spl0_421|~spl0_3|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f14531,f799,f14528,f794,f5790,f2097,f3762])).
% 77.22/10.17 fof(f14676,plain,(
% 77.22/10.17 spl0_422 <=> in(ordered_pair(sk0_2(X0,empty_set,set_union2(X1,empty_set)),sk0_3(X0,empty_set,set_union2(X1,empty_set))),X1)|~relation(set_union2(X1,empty_set))|empty_set=relation_dom_restriction(set_union2(X1,empty_set),X0)|~relation(set_union2(X1,empty_set))|empty_set=relation_dom_restriction(set_union2(X1,empty_set),X0)|~in(sk0_2(X0,empty_set,set_union2(X1,empty_set)),X0)|~in(ordered_pair(sk0_2(X0,empty_set,set_union2(X1,empty_set)),sk0_3(X0,empty_set,set_union2(X1,empty_set))),set_union2(X1,empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f14679,plain,(
% 77.22/10.17 ![X0,X1]: (in(ordered_pair(sk0_2(X0,empty_set,set_union2(X1,empty_set)),sk0_3(X0,empty_set,set_union2(X1,empty_set))),X1)|~relation(set_union2(X1,empty_set))|empty_set=relation_dom_restriction(set_union2(X1,empty_set),X0)|~relation(set_union2(X1,empty_set))|~relation(empty_set)|empty_set=relation_dom_restriction(set_union2(X1,empty_set),X0)|~in(sk0_2(X0,empty_set,set_union2(X1,empty_set)),X0)|~in(ordered_pair(sk0_2(X0,empty_set,set_union2(X1,empty_set)),sk0_3(X0,empty_set,set_union2(X1,empty_set))),set_union2(X1,empty_set))|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f13948,f213])).
% 77.22/10.17 fof(f14680,plain,(
% 77.22/10.17 spl0_422|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f14679,f14676,f799,f5790])).
% 77.22/10.17 fof(f14841,plain,(
% 77.22/10.17 spl0_423 <=> ~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,X1))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f14844,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(empty_set)|~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,X1))|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f12273,f5893])).
% 77.22/10.17 fof(f14845,plain,(
% 77.22/10.17 ~spl0_3|spl0_423|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f14844,f794,f14841,f5790])).
% 77.22/10.17 fof(f14861,plain,(
% 77.22/10.17 spl0_424 <=> ~empty(identity_relation(singleton(X0)))|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(X0,X1)|identity_relation(singleton(X0))=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f14864,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(identity_relation(singleton(X0)))|~relation(empty_set)|identity_relation(singleton(X0))=relation_dom_restriction(empty_set,X1)|in(X0,X1)|identity_relation(singleton(X0))=empty_set|~spl0_10|~spl0_24|~spl0_330)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f11603,f12273])).
% 77.22/10.17 fof(f14865,plain,(
% 77.22/10.17 spl0_424|~spl0_4|~spl0_10|~spl0_24|~spl0_330),
% 77.22/10.17 inference(split_clause,[status(thm)],[f14864,f14861,f799,f2097,f3762,f11288])).
% 77.22/10.17 fof(f14866,plain,(
% 77.22/10.17 spl0_425 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,X1)|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f14869,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(empty_set)|~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|in(X0,X1)|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5903,f12273])).
% 77.22/10.17 fof(f14870,plain,(
% 77.22/10.17 ~spl0_3|spl0_425|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f14869,f794,f14866,f5790])).
% 77.22/10.17 fof(f14993,plain,(
% 77.22/10.17 spl0_426 <=> empty_set=identity_relation(unordered_pair(X0,X1))|in(X1,unordered_pair(X0,X1))|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f14996,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(empty_set)|empty_set=identity_relation(unordered_pair(X0,X1))|in(X1,unordered_pair(X0,X1))|sk0_0(unordered_pair(X0,X1),empty_set)=X0|empty_set=identity_relation(unordered_pair(X0,X1))|~spl0_12)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f12349,f12281])).
% 77.22/10.17 fof(f14997,plain,(
% 77.22/10.17 ~spl0_3|spl0_426|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f14996,f794,f14993,f3390])).
% 77.22/10.17 fof(f15007,plain,(
% 77.22/10.17 spl0_427 <=> empty_set=relation_dom(sk0_39(powerset(empty_set)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f15010,plain,(
% 77.22/10.17 spl0_428 <=> relation(sk0_39(powerset(empty_set)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f15012,plain,(
% 77.22/10.17 ~relation(sk0_39(powerset(empty_set)))|spl0_428),
% 77.22/10.17 inference(component_clause,[status(thm)],[f15010])).
% 77.22/10.17 fof(f15013,plain,(
% 77.22/10.17 empty_set=relation_dom(sk0_39(powerset(empty_set)))|~relation(sk0_39(powerset(empty_set)))|~spl0_7),
% 77.22/10.17 inference(resolution,[status(thm)],[f13882,f3421])).
% 77.22/10.17 fof(f15014,plain,(
% 77.22/10.17 spl0_427|~spl0_428|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f15013,f15007,f15010,f819])).
% 77.22/10.17 fof(f15020,plain,(
% 77.22/10.17 ~relation(sk0_39(singleton(empty_set)))|spl0_428),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f540,f15012])).
% 77.22/10.17 fof(f15021,plain,(
% 77.22/10.17 ~relation(empty_set)|spl0_428),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f13896,f15020])).
% 77.22/10.17 fof(f15022,plain,(
% 77.22/10.17 $false|spl0_428),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f15021,f417])).
% 77.22/10.17 fof(f15023,plain,(
% 77.22/10.17 spl0_428),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f15022])).
% 77.22/10.17 fof(f15068,plain,(
% 77.22/10.17 ![X0,X1]: (~in(ordered_pair(powerset(relation_dom(X0)),X1),X0)|~relation(X0)|~spl0_156)),
% 77.22/10.17 inference(resolution,[status(thm)],[f455,f10320])).
% 77.22/10.17 fof(f15082,plain,(
% 77.22/10.17 spl0_429 <=> subset(empty_set,X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f15085,plain,(
% 77.22/10.17 ![X0]: (~empty_set=empty_set|subset(empty_set,X0))),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f634,f458])).
% 77.22/10.17 fof(f15086,plain,(
% 77.22/10.17 ~spl0_5|spl0_429),
% 77.22/10.17 inference(split_clause,[status(thm)],[f15085,f807,f15082])).
% 77.22/10.17 fof(f15320,plain,(
% 77.22/10.17 spl0_430 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~relation(sk0_47(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3)))|~relation(relation_dom(sk0_47(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3))))|in(X0,relation_dom(relation_dom(sk0_47(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3)))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f15323,plain,(
% 77.22/10.17 ![X0,X1,X2,X3]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|~relation(sk0_47(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3)))|~relation(relation_dom(sk0_47(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3))))|in(X0,relation_dom(relation_dom(sk0_47(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3)))))|~spl0_126|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5954,f7486])).
% 77.22/10.17 fof(f15324,plain,(
% 77.22/10.17 spl0_430|~spl0_3|~spl0_126|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f15323,f15320,f794,f5769,f5790])).
% 77.22/10.17 fof(f15325,plain,(
% 77.22/10.17 spl0_431 <=> empty_set=relation_dom_restriction(empty_set,X0)|~relation(sk0_47(ordered_pair(ordered_pair(sk0_2(X0,empty_set,empty_set),X1),X2)))|~relation(relation_dom(sk0_47(ordered_pair(ordered_pair(sk0_2(X0,empty_set,empty_set),X1),X2))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f15328,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(empty_set)|empty_set=relation_dom_restriction(empty_set,X0)|~empty(empty_set)|~relation(sk0_47(ordered_pair(ordered_pair(sk0_2(X0,empty_set,empty_set),X1),X2)))|~relation(relation_dom(sk0_47(ordered_pair(ordered_pair(sk0_2(X0,empty_set,empty_set),X1),X2))))|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f7486])).
% 77.22/10.17 fof(f15329,plain,(
% 77.22/10.17 ~spl0_4|spl0_431|~spl0_3|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f15328,f799,f15325,f794,f5790,f2097,f3762])).
% 77.22/10.17 fof(f15406,plain,(
% 77.22/10.17 ![X0,X1,X2,X3]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X2),X3))))))|~relation(relation_dom(singleton(ordered_pair(ordered_pair(sk0_2(X1,empty_set,X0),X2),X3))))|~spl0_156|~spl0_127)),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f7487,f7723])).
% 77.22/10.17 fof(f15407,plain,(
% 77.22/10.17 spl0_432 <=> ~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~relation(relation_dom(singleton(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3))))|in(X0,relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3)))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f15410,plain,(
% 77.22/10.17 ![X0,X1,X2,X3]: (~relation(identity_relation(singleton(X0)))|empty_set=relation_dom_restriction(identity_relation(singleton(X0)),X1)|~empty(empty_set)|~relation(relation_dom(singleton(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3))))|in(X0,relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(sk0_2(X1,empty_set,identity_relation(singleton(X0))),X2),X3)))))|~spl0_156|~spl0_126|~spl0_127)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f5954,f15406])).
% 77.22/10.17 fof(f15411,plain,(
% 77.22/10.17 spl0_432|~spl0_3|~spl0_156|~spl0_126|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f15410,f15407,f794,f6530,f5769,f5790])).
% 77.22/10.17 fof(f15412,plain,(
% 77.22/10.17 spl0_433 <=> empty_set=relation_dom_restriction(empty_set,X0)|~relation(relation_dom(singleton(ordered_pair(ordered_pair(sk0_2(X0,empty_set,empty_set),X1),X2))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f15415,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(empty_set)|empty_set=relation_dom_restriction(empty_set,X0)|~empty(empty_set)|~relation(relation_dom(singleton(ordered_pair(ordered_pair(sk0_2(X0,empty_set,empty_set),X1),X2))))|~spl0_156|~spl0_127|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f15406])).
% 77.22/10.17 fof(f15416,plain,(
% 77.22/10.17 ~spl0_4|spl0_433|~spl0_3|~spl0_156|~spl0_127|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f15415,f799,f15412,f794,f6530,f5790,f2097,f3762])).
% 77.22/10.17 fof(f15435,plain,(
% 77.22/10.17 spl0_434 <=> ~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom_restriction(X0,X2))))|~relation(X0)|~in(sk0_2(X1,empty_set,X0),X2)|~relation(X0)|empty_set=relation_dom_restriction(X0,X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f15438,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom_restriction(X0,X2))))|~relation(X0)|~in(sk0_2(X1,empty_set,X0),X2)|~empty(empty_set)|~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f7506,f12271])).
% 77.22/10.17 fof(f15439,plain,(
% 77.22/10.17 spl0_434|~spl0_3|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f15438,f15435,f794,f5790])).
% 77.22/10.17 fof(f15440,plain,(
% 77.22/10.17 spl0_435 <=> ~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom_restriction(X0,X2))))|~relation(X0)|~in(sk0_2(X1,empty_set,X0),X2)|~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~in(empty_set,ordered_pair(sk0_2(X1,empty_set,X0),sk0_3(X1,empty_set,X0)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f15443,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom_restriction(X0,X2))))|~relation(X0)|~in(sk0_2(X1,empty_set,X0),X2)|~relation(X0)|~relation(empty_set)|empty_set=relation_dom_restriction(X0,X1)|~in(empty_set,ordered_pair(sk0_2(X1,empty_set,X0),sk0_3(X1,empty_set,X0)))|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f7506,f5797])).
% 77.22/10.17 fof(f15444,plain,(
% 77.22/10.17 spl0_435|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f15443,f15440,f799,f5790])).
% 77.22/10.17 fof(f15445,plain,(
% 77.22/10.17 spl0_436 <=> ~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom_restriction(X0,X2))))|~relation(X0)|~in(sk0_2(X1,empty_set,X0),X2)|~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|in(sk0_2(X1,empty_set,X0),relation_dom(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f15448,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom_restriction(X0,X2))))|~relation(X0)|~in(sk0_2(X1,empty_set,X0),X2)|~relation(X0)|~relation(empty_set)|empty_set=relation_dom_restriction(X0,X1)|in(sk0_2(X1,empty_set,X0),relation_dom(empty_set))|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f7506,f5788])).
% 77.22/10.17 fof(f15449,plain,(
% 77.22/10.17 spl0_436|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f15448,f15445,f799,f5790])).
% 77.22/10.17 fof(f15450,plain,(
% 77.22/10.17 spl0_437 <=> ~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom_restriction(empty_set,X2))))|~in(sk0_2(X1,empty_set,X0),X2)|~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,empty_set,X0),sk0_3(X1,empty_set,X0)),X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f15453,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom_restriction(empty_set,X2))))|~relation(empty_set)|~in(sk0_2(X1,empty_set,X0),X2)|~relation(X0)|~relation(empty_set)|empty_set=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,empty_set,X0),sk0_3(X1,empty_set,X0)),X0)|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f7506,f215])).
% 77.22/10.17 fof(f15454,plain,(
% 77.22/10.17 spl0_437|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f15453,f15450,f799,f5790])).
% 77.22/10.17 fof(f15455,plain,(
% 77.22/10.17 spl0_438 <=> ~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom_restriction(empty_set,X2))))|~in(sk0_2(X1,empty_set,X0),X2)|~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|in(sk0_2(X1,empty_set,X0),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f15458,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(X0)|empty_set=relation_dom_restriction(X0,X1)|~empty(relation_dom_restriction(X0,relation_dom(relation_dom_restriction(empty_set,X2))))|~relation(empty_set)|~in(sk0_2(X1,empty_set,X0),X2)|~relation(X0)|~relation(empty_set)|empty_set=relation_dom_restriction(X0,X1)|in(sk0_2(X1,empty_set,X0),X1)|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f7506,f214])).
% 77.22/10.17 fof(f15459,plain,(
% 77.22/10.17 spl0_438|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f15458,f15455,f799,f5790])).
% 77.22/10.17 fof(f15621,plain,(
% 77.22/10.17 spl0_439 <=> ~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X0)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(empty_set),X1))),X2),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f15624,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(empty_set)|~in(relation_dom(singleton(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1))),X0)|~in(ordered_pair(relation_dom(singleton(ordered_pair(relation_dom(empty_set),X1))),X2),empty_set)|~spl0_156|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f7744])).
% 77.22/10.17 fof(f15625,plain,(
% 77.22/10.17 ~spl0_4|spl0_439|~spl0_156|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f15624,f799,f15621,f6530,f2097,f3762])).
% 77.22/10.17 fof(f15656,plain,(
% 77.22/10.17 spl0_440 <=> ~relation(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2))))|~in(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)))),X0)|~in(ordered_pair(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(empty_set),X1),X2)))),X3),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f15659,plain,(
% 77.22/10.17 ![X0,X1,X2,X3]: (~relation(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2))))|~relation(empty_set)|~in(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X2)))),X0)|~in(ordered_pair(relation_dom(relation_dom(singleton(ordered_pair(ordered_pair(relation_dom(empty_set),X1),X2)))),X3),empty_set)|~spl0_156|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f7748])).
% 77.22/10.17 fof(f15660,plain,(
% 77.22/10.17 spl0_440|~spl0_4|~spl0_156|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f15659,f15656,f799,f6530,f2097,f3762])).
% 77.22/10.17 fof(f16314,plain,(
% 77.22/10.17 spl0_441 <=> ~in(ordered_pair(powerset(empty_set),X0),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f16317,plain,(
% 77.22/10.17 ![X0]: (~in(ordered_pair(powerset(empty_set),X0),empty_set)|~relation(empty_set)|~spl0_156)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f654,f15068])).
% 77.22/10.17 fof(f16318,plain,(
% 77.22/10.17 spl0_441|~spl0_4|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f16317,f16314,f799,f6530])).
% 77.22/10.17 fof(f17082,plain,(
% 77.22/10.17 ![X0,X1]: (~in(X0,relation_dom(X1))|in(X0,empty_set)|~relation(X1)|~subset(X1,empty_set)|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f292,f820])).
% 77.22/10.17 fof(f17083,plain,(
% 77.22/10.17 ![X0,X1]: (~in(X0,relation_dom(X1))|~relation(X1)|~subset(X1,empty_set)|~spl0_7)),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f17082,f757])).
% 77.22/10.17 fof(f17084,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~in(X0,relation_dom(X1))|in(X0,relation_dom(X2))|~relation(X1)|~relation(X2)|~subset(X1,X2))),
% 77.22/10.17 inference(resolution,[status(thm)],[f292,f548])).
% 77.22/10.17 fof(f17106,plain,(
% 77.22/10.17 ![X0]: (~relation(X0)|~subset(X0,empty_set)|empty(relation_dom(X0))|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f17083,f11577])).
% 77.22/10.17 fof(f17114,plain,(
% 77.22/10.17 ![X0]: (~relation(X0)|~subset(X0,empty_set)|relation(relation_dom(X0))|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f17083,f221])).
% 77.22/10.17 fof(f17144,plain,(
% 77.22/10.17 spl0_442 <=> relation(relation_dom_restriction(sk0_53,sk0_55))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f17146,plain,(
% 77.22/10.17 ~relation(relation_dom_restriction(sk0_53,sk0_55))|spl0_442),
% 77.22/10.17 inference(component_clause,[status(thm)],[f17144])).
% 77.22/10.17 fof(f17227,plain,(
% 77.22/10.17 ![X0,X1]: (~in(X0,X1)|~relation(identity_relation(X1))|~subset(identity_relation(X1),empty_set)|~spl0_7)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f678,f17083])).
% 77.22/10.17 fof(f17228,plain,(
% 77.22/10.17 ![X0,X1]: (~in(X0,X1)|~subset(identity_relation(X1),empty_set)|~spl0_7)),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f17227,f388])).
% 77.22/10.17 fof(f17231,plain,(
% 77.22/10.17 ~relation(sk0_53)|spl0_442),
% 77.22/10.17 inference(resolution,[status(thm)],[f17146,f395])).
% 77.22/10.17 fof(f17232,plain,(
% 77.22/10.17 $false|spl0_442),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f17231,f698])).
% 77.22/10.17 fof(f17233,plain,(
% 77.22/10.17 spl0_442),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f17232])).
% 77.22/10.17 fof(f17241,plain,(
% 77.22/10.17 spl0_444 <=> empty(relation_dom(sk0_39(powerset(empty_set))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f17244,plain,(
% 77.22/10.17 ~relation(sk0_39(powerset(empty_set)))|empty(relation_dom(sk0_39(powerset(empty_set))))|~spl0_7),
% 77.22/10.17 inference(resolution,[status(thm)],[f17106,f13882])).
% 77.22/10.17 fof(f17245,plain,(
% 77.22/10.17 ~spl0_428|spl0_444|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f17244,f15010,f17241,f819])).
% 77.22/10.17 fof(f17248,plain,(
% 77.22/10.17 spl0_445 <=> ~relation(ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,powerset(empty_set))))|empty(relation_dom(ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,powerset(empty_set)))))|empty_set=relation_dom_restriction(powerset(empty_set),X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f17251,plain,(
% 77.22/10.17 ![X0]: (~relation(ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,powerset(empty_set))))|empty(relation_dom(ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,powerset(empty_set)))))|~relation(powerset(empty_set))|empty_set=relation_dom_restriction(powerset(empty_set),X0)|~spl0_7|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f17106,f10134])).
% 77.22/10.17 fof(f17252,plain,(
% 77.22/10.17 spl0_445|~spl0_324|~spl0_7|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f17251,f17248,f11208,f819,f5790])).
% 77.22/10.17 fof(f17259,plain,(
% 77.22/10.17 spl0_446 <=> empty(relation_dom(sk0_0(powerset(empty_set),empty_set)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f17262,plain,(
% 77.22/10.17 ~relation(sk0_0(powerset(empty_set),empty_set))|empty(relation_dom(sk0_0(powerset(empty_set),empty_set)))|empty_set=identity_relation(powerset(empty_set))|~spl0_7|~spl0_12),
% 77.22/10.17 inference(resolution,[status(thm)],[f17106,f10126])).
% 77.22/10.17 fof(f17263,plain,(
% 77.22/10.17 ~spl0_285|spl0_446|spl0_282|~spl0_7|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f17262,f10497,f17259,f10486,f819,f3390])).
% 77.22/10.17 fof(f17297,plain,(
% 77.22/10.17 spl0_447 <=> relation(relation_dom(sk0_39(powerset(empty_set))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f17300,plain,(
% 77.22/10.17 ~relation(sk0_39(powerset(empty_set)))|relation(relation_dom(sk0_39(powerset(empty_set))))|~spl0_7),
% 77.22/10.17 inference(resolution,[status(thm)],[f17114,f13882])).
% 77.22/10.17 fof(f17301,plain,(
% 77.22/10.17 ~spl0_428|spl0_447|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f17300,f15010,f17297,f819])).
% 77.22/10.17 fof(f17304,plain,(
% 77.22/10.17 spl0_448 <=> ~relation(ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,powerset(empty_set))))|relation(relation_dom(ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,powerset(empty_set)))))|empty_set=relation_dom_restriction(powerset(empty_set),X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f17307,plain,(
% 77.22/10.17 ![X0]: (~relation(ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,powerset(empty_set))))|relation(relation_dom(ordered_pair(sk0_2(X0,empty_set,powerset(empty_set)),sk0_3(X0,empty_set,powerset(empty_set)))))|~relation(powerset(empty_set))|empty_set=relation_dom_restriction(powerset(empty_set),X0)|~spl0_7|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f17114,f10134])).
% 77.22/10.17 fof(f17308,plain,(
% 77.22/10.17 spl0_448|~spl0_324|~spl0_7|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f17307,f17304,f11208,f819,f5790])).
% 77.22/10.17 fof(f17315,plain,(
% 77.22/10.17 spl0_449 <=> relation(relation_dom(sk0_0(powerset(empty_set),empty_set)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f17318,plain,(
% 77.22/10.17 ~relation(sk0_0(powerset(empty_set),empty_set))|relation(relation_dom(sk0_0(powerset(empty_set),empty_set)))|empty_set=identity_relation(powerset(empty_set))|~spl0_7|~spl0_12),
% 77.22/10.17 inference(resolution,[status(thm)],[f17114,f10126])).
% 77.22/10.17 fof(f17319,plain,(
% 77.22/10.17 ~spl0_285|spl0_449|spl0_282|~spl0_7|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f17318,f10497,f17315,f10486,f819,f3390])).
% 77.22/10.17 fof(f17329,plain,(
% 77.22/10.17 ~relation(empty_set)|relation(relation_dom(empty_set))|~spl0_7),
% 77.22/10.17 inference(resolution,[status(thm)],[f17114,f563])).
% 77.22/10.17 fof(f17330,plain,(
% 77.22/10.17 ~spl0_4|spl0_17|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f17329,f799,f3471,f819])).
% 77.22/10.17 fof(f17848,plain,(
% 77.22/10.17 spl0_453 <=> ~in(X0,relation_dom(X1))|in(X0,empty_set)|~relation(X1)|~subset(X1,empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f17851,plain,(
% 77.22/10.17 ![X0,X1]: (~in(X0,relation_dom(X1))|in(X0,empty_set)|~relation(X1)|~relation(empty_set)|~subset(X1,empty_set))),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f654,f17084])).
% 77.22/10.17 fof(f17852,plain,(
% 77.22/10.17 spl0_453|~spl0_4),
% 77.22/10.17 inference(split_clause,[status(thm)],[f17851,f17848,f799])).
% 77.22/10.17 fof(f17853,plain,(
% 77.22/10.17 ![X0,X1]: (subset(relation_dom(X0),X1)|~relation(X0)|~subset(X0,empty_set)|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f293,f17083])).
% 77.22/10.17 fof(f17868,plain,(
% 77.22/10.17 ![X0,X1]: (subset(X0,X1)|~empty(X0))),
% 77.22/10.17 inference(resolution,[status(thm)],[f293,f688])).
% 77.22/10.17 fof(f17925,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(identity_relation(X0))|X1=X0|~subset(X1,X0))),
% 77.22/10.17 inference(resolution,[status(thm)],[f17868,f3668])).
% 77.22/10.17 fof(f17926,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(identity_relation(X0))|subset(X0,X1))),
% 77.22/10.17 inference(resolution,[status(thm)],[f17868,f2370])).
% 77.22/10.17 fof(f17928,plain,(
% 77.22/10.17 ![X0]: (~empty(identity_relation(X0))|~proper_subset(empty_set,X0)|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f17868,f7460])).
% 77.22/10.17 fof(f17944,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(X0)|proper_subset(X0,X1)|X0=X1)),
% 77.22/10.17 inference(resolution,[status(thm)],[f17868,f378])).
% 77.22/10.17 fof(f18007,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(identity_relation(identity_relation(X0)))|~in(X1,X0)|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f17926,f17228])).
% 77.22/10.17 fof(f18011,plain,(
% 77.22/10.17 ![X0]: (~empty(identity_relation(identity_relation(X0)))|subset(X0,empty_set)|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f17926,f2103])).
% 77.22/10.17 fof(f18020,plain,(
% 77.22/10.17 ![X0]: (~empty(identity_relation(X0))|~relation(X0)|empty(relation_dom(X0))|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f17926,f17106])).
% 77.22/10.17 fof(f18021,plain,(
% 77.22/10.17 ![X0]: (~empty(identity_relation(X0))|empty(relation_dom(X0))|~spl0_7)),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f18020,f2113])).
% 77.22/10.17 fof(f18026,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(identity_relation(X0))|proper_subset(X0,X1)|X0=X1)),
% 77.22/10.17 inference(resolution,[status(thm)],[f17926,f378])).
% 77.22/10.17 fof(f18033,plain,(
% 77.22/10.17 spl0_454 <=> ~proper_subset(X0,empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f18065,plain,(
% 77.22/10.17 spl0_455 <=> empty_set=relation_dom(X0)|~relation(X0)|~subset(X0,empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f18068,plain,(
% 77.22/10.17 ![X0]: (~empty(empty_set)|empty_set=relation_dom(X0)|~relation(X0)|~subset(X0,empty_set)|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f17944,f7403])).
% 77.22/10.17 fof(f18069,plain,(
% 77.22/10.17 ~spl0_3|spl0_455|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f18068,f794,f18065,f819])).
% 77.22/10.17 fof(f18216,plain,(
% 77.22/10.17 ![X0,X1]: (in(sk0_0(set_intersection2(X0,X1),empty_set),X0)|empty_set=identity_relation(set_intersection2(X0,X1))|~spl0_12)),
% 77.22/10.17 inference(resolution,[status(thm)],[f768,f3391])).
% 77.22/10.17 fof(f18225,plain,(
% 77.22/10.17 ![X0,X1,X2]: (in(ordered_pair(sk0_2(X0,empty_set,set_intersection2(X1,X2)),sk0_3(X0,empty_set,set_intersection2(X1,X2))),X1)|~relation(set_intersection2(X1,X2))|empty_set=relation_dom_restriction(set_intersection2(X1,X2),X0)|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f768,f5791])).
% 77.22/10.17 fof(f18274,plain,(
% 77.22/10.17 ![X0,X1]: (in(sk0_0(set_intersection2(X0,X1),empty_set),X1)|empty_set=identity_relation(set_intersection2(X0,X1))|~spl0_12)),
% 77.22/10.17 inference(resolution,[status(thm)],[f769,f3391])).
% 77.22/10.17 fof(f18283,plain,(
% 77.22/10.17 ![X0,X1,X2]: (in(ordered_pair(sk0_2(X0,empty_set,set_intersection2(X1,X2)),sk0_3(X0,empty_set,set_intersection2(X1,X2))),X2)|~relation(set_intersection2(X1,X2))|empty_set=relation_dom_restriction(set_intersection2(X1,X2),X0)|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f769,f5791])).
% 77.22/10.17 fof(f18307,plain,(
% 77.22/10.17 ~empty(empty_set)|~proper_subset(empty_set,empty_set)|~spl0_7|~spl0_10),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f2098,f17928])).
% 77.22/10.17 fof(f18308,plain,(
% 77.22/10.17 ~spl0_3|~spl0_129|~spl0_7|~spl0_10),
% 77.22/10.17 inference(split_clause,[status(thm)],[f18307,f794,f5818,f819,f2097])).
% 77.22/10.17 fof(f18322,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(identity_relation(X0))|~empty(X1)|X1=relation_dom(X0)|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f18021,f13396])).
% 77.22/10.17 fof(f18342,plain,(
% 77.22/10.17 ![X0]: (~empty(identity_relation(empty_set))|~in(X0,empty_set)|~spl0_7|~spl0_10)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f2098,f18007])).
% 77.22/10.17 fof(f18343,plain,(
% 77.22/10.17 ~spl0_260|spl0_229|~spl0_7|~spl0_10),
% 77.22/10.17 inference(split_clause,[status(thm)],[f18342,f9881,f9288,f819,f2097])).
% 77.22/10.17 fof(f18360,plain,(
% 77.22/10.17 ~empty(identity_relation(empty_set))|subset(empty_set,empty_set)|~spl0_7|~spl0_10),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f2098,f18011])).
% 77.22/10.17 fof(f18361,plain,(
% 77.22/10.17 ~spl0_260|spl0_8|~spl0_7|~spl0_10),
% 77.22/10.17 inference(split_clause,[status(thm)],[f18360,f9881,f837,f819,f2097])).
% 77.22/10.17 fof(f18362,plain,(
% 77.22/10.17 ~empty(empty_set)|~spl0_10|spl0_260),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f2098,f9883])).
% 77.22/10.17 fof(f18363,plain,(
% 77.22/10.17 $false|~spl0_10|spl0_260),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f18362,f404])).
% 77.22/10.17 fof(f18364,plain,(
% 77.22/10.17 ~spl0_10|spl0_260),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f18363])).
% 77.22/10.17 fof(f18367,plain,(
% 77.22/10.17 spl0_456 <=> ~empty(X0)|X0=relation_dom(empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f18370,plain,(
% 77.22/10.17 ![X0]: (~empty(empty_set)|~empty(X0)|X0=relation_dom(empty_set)|~spl0_7|~spl0_10)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f2098,f18322])).
% 77.22/10.17 fof(f18371,plain,(
% 77.22/10.17 ~spl0_3|spl0_456|~spl0_7|~spl0_10),
% 77.22/10.17 inference(split_clause,[status(thm)],[f18370,f794,f18367,f819,f2097])).
% 77.22/10.17 fof(f18422,plain,(
% 77.22/10.17 ![X0,X1]: (empty_set=identity_relation(set_intersection2(X0,X1))|~empty(X0)|~spl0_12)),
% 77.22/10.17 inference(resolution,[status(thm)],[f18216,f688])).
% 77.22/10.17 fof(f18424,plain,(
% 77.22/10.17 spl0_457 <=> in(sk0_0(empty_set,empty_set),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f18425,plain,(
% 77.22/10.17 in(sk0_0(empty_set,empty_set),empty_set)|~spl0_457),
% 77.22/10.17 inference(component_clause,[status(thm)],[f18424])).
% 77.22/10.17 fof(f18427,plain,(
% 77.22/10.17 spl0_458 <=> empty_set=identity_relation(set_intersection2(empty_set,X0))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f18430,plain,(
% 77.22/10.17 ![X0]: (in(sk0_0(empty_set,empty_set),empty_set)|empty_set=identity_relation(set_intersection2(empty_set,X0))|~spl0_12|~spl0_7)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3460,f18216])).
% 77.22/10.17 fof(f18431,plain,(
% 77.22/10.17 spl0_457|spl0_458|~spl0_12|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f18430,f18424,f18427,f3390,f819])).
% 77.22/10.17 fof(f18438,plain,(
% 77.22/10.17 $false|~spl0_457),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f18425,f757])).
% 77.22/10.17 fof(f18439,plain,(
% 77.22/10.17 ~spl0_457),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f18438])).
% 77.22/10.17 fof(f18443,plain,(
% 77.22/10.17 spl0_459 <=> ~relation(set_intersection2(empty_set,X0))|empty_set=relation_dom_restriction(set_intersection2(empty_set,X0),X1)|~relation(set_intersection2(empty_set,X0))|empty_set=relation_dom_restriction(set_intersection2(empty_set,X0),X1)|~in(sk0_2(X1,empty_set,set_intersection2(empty_set,X0)),X1)|~in(ordered_pair(sk0_2(X1,empty_set,set_intersection2(empty_set,X0)),sk0_3(X1,empty_set,set_intersection2(empty_set,X0))),set_intersection2(empty_set,X0))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f18446,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(set_intersection2(empty_set,X0))|empty_set=relation_dom_restriction(set_intersection2(empty_set,X0),X1)|~relation(set_intersection2(empty_set,X0))|~relation(empty_set)|empty_set=relation_dom_restriction(set_intersection2(empty_set,X0),X1)|~in(sk0_2(X1,empty_set,set_intersection2(empty_set,X0)),X1)|~in(ordered_pair(sk0_2(X1,empty_set,set_intersection2(empty_set,X0)),sk0_3(X1,empty_set,set_intersection2(empty_set,X0))),set_intersection2(empty_set,X0))|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f18225,f213])).
% 77.22/10.17 fof(f18447,plain,(
% 77.22/10.17 spl0_459|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f18446,f18443,f799,f5790])).
% 77.22/10.17 fof(f18569,plain,(
% 77.22/10.17 spl0_460 <=> ~in(unordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X0)|~in(ordered_pair(unordered_pair(relation_dom(empty_set),X1),X2),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f18572,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(empty_set)|~in(unordered_pair(relation_dom(relation_dom_restriction(empty_set,X0)),X1),X0)|~in(ordered_pair(unordered_pair(relation_dom(empty_set),X1),X2),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f3523])).
% 77.22/10.17 fof(f18573,plain,(
% 77.22/10.17 ~spl0_4|spl0_460|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f18572,f799,f18569,f2097,f3762])).
% 77.22/10.17 fof(f18611,plain,(
% 77.22/10.17 spl0_461 <=> ~in(unordered_pair(X0,relation_dom(relation_dom_restriction(empty_set,X1))),X1)|~in(ordered_pair(unordered_pair(X0,relation_dom(empty_set)),X2),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f18614,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(empty_set)|~in(unordered_pair(X0,relation_dom(relation_dom_restriction(empty_set,X1))),X1)|~in(ordered_pair(unordered_pair(X0,relation_dom(empty_set)),X2),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f3537])).
% 77.22/10.17 fof(f18615,plain,(
% 77.22/10.17 ~spl0_4|spl0_461|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f18614,f799,f18611,f2097,f3762])).
% 77.22/10.17 fof(f18619,plain,(
% 77.22/10.17 spl0_462 <=> empty_set=sk0_39(singleton(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f18662,plain,(
% 77.22/10.17 ![X0,X1]: (in(sk0_0(set_difference(X0,X1),empty_set),X0)|empty_set=identity_relation(set_difference(X0,X1))|~spl0_12)),
% 77.22/10.17 inference(resolution,[status(thm)],[f776,f3391])).
% 77.22/10.17 fof(f18672,plain,(
% 77.22/10.17 ![X0,X1,X2]: (in(ordered_pair(sk0_2(X0,empty_set,set_difference(X1,X2)),sk0_3(X0,empty_set,set_difference(X1,X2))),X1)|~relation(set_difference(X1,X2))|empty_set=relation_dom_restriction(set_difference(X1,X2),X0)|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f776,f5791])).
% 77.22/10.17 fof(f18712,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~in(sk0_2(set_difference(X0,X1),empty_set,X2),X1)|~relation(X2)|empty_set=relation_dom_restriction(X2,set_difference(X0,X1))|~spl0_126)),
% 77.22/10.17 inference(resolution,[status(thm)],[f777,f5770])).
% 77.22/10.17 fof(f18720,plain,(
% 77.22/10.17 ![X0,X1]: (~in(sk0_0(set_difference(X0,X1),empty_set),X1)|empty_set=identity_relation(set_difference(X0,X1))|~spl0_12)),
% 77.22/10.17 inference(resolution,[status(thm)],[f777,f3391])).
% 77.22/10.17 fof(f18730,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~in(ordered_pair(sk0_2(X0,empty_set,set_difference(X1,X2)),sk0_3(X0,empty_set,set_difference(X1,X2))),X2)|~relation(set_difference(X1,X2))|empty_set=relation_dom_restriction(set_difference(X1,X2),X0)|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f777,f5791])).
% 77.22/10.17 fof(f19085,plain,(
% 77.22/10.17 ![X0,X1]: (X0=set_intersection2(empty_set,X1)|in(sk0_21(X0,X1,empty_set),X0))),
% 77.22/10.17 inference(resolution,[status(thm)],[f302,f757])).
% 77.22/10.17 fof(f19086,plain,(
% 77.22/10.17 ![X0,X1]: (X0=empty_set|in(sk0_21(X0,X1,empty_set),X0)|~spl0_7)),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f3460,f19085])).
% 77.22/10.17 fof(f19104,plain,(
% 77.22/10.17 ![X0,X1,X2]: (set_difference(X0,X1)=empty_set|~in(sk0_21(set_difference(X0,X1),X2,empty_set),X1)|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f19086,f777])).
% 77.22/10.17 fof(f19105,plain,(
% 77.22/10.17 ![X0,X1,X2]: (set_difference(X0,X1)=empty_set|in(sk0_21(set_difference(X0,X1),X2,empty_set),X0)|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f19086,f776])).
% 77.22/10.17 fof(f19106,plain,(
% 77.22/10.17 ![X0,X1,X2]: (set_intersection2(X0,X1)=empty_set|in(sk0_21(set_intersection2(X0,X1),X2,empty_set),X1)|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f19086,f769])).
% 77.22/10.17 fof(f19107,plain,(
% 77.22/10.17 ![X0,X1,X2]: (set_intersection2(X0,X1)=empty_set|in(sk0_21(set_intersection2(X0,X1),X2,empty_set),X0)|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f19086,f768])).
% 77.22/10.17 fof(f19112,plain,(
% 77.22/10.17 ![X0,X1]: (powerset(X0)=empty_set|subset(sk0_21(powerset(X0),X1,empty_set),X0)|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f19086,f758])).
% 77.22/10.17 fof(f19224,plain,(
% 77.22/10.17 ![X0]: (set_difference(X0,X0)=empty_set|set_difference(X0,X0)=empty_set|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f19105,f19104])).
% 77.22/10.17 fof(f19225,plain,(
% 77.22/10.17 ![X0]: (set_difference(X0,X0)=empty_set|~spl0_7)),
% 77.22/10.17 inference(duplicate_literals_removal,[status(esa)],[f19224])).
% 77.22/10.17 fof(f19253,plain,(
% 77.22/10.17 spl0_471 <=> set_difference(empty_set,X0)=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f19256,plain,(
% 77.22/10.17 spl0_472 <=> in(sk0_21(empty_set,X1,empty_set),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f19257,plain,(
% 77.22/10.17 ![X0]: (in(sk0_21(empty_set,X0,empty_set),empty_set)|~spl0_472)),
% 77.22/10.17 inference(component_clause,[status(thm)],[f19256])).
% 77.22/10.17 fof(f19259,plain,(
% 77.22/10.17 ![X0,X1]: (set_difference(empty_set,X0)=empty_set|in(sk0_21(empty_set,X1,empty_set),empty_set)|~spl0_7)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f634,f19105])).
% 77.22/10.17 fof(f19260,plain,(
% 77.22/10.17 spl0_471|spl0_472|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f19259,f19253,f19256,f819])).
% 77.22/10.17 fof(f19291,plain,(
% 77.22/10.17 spl0_473 <=> set_intersection2(X0,empty_set)=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f19294,plain,(
% 77.22/10.17 ![X0,X1]: (set_intersection2(X0,empty_set)=empty_set|in(sk0_21(empty_set,X1,empty_set),empty_set)|~spl0_7)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f555,f19106])).
% 77.22/10.17 fof(f19295,plain,(
% 77.22/10.17 spl0_473|spl0_472|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f19294,f19291,f19256,f819])).
% 77.22/10.17 fof(f19300,plain,(
% 77.22/10.17 $false|~spl0_472),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f19257,f757])).
% 77.22/10.17 fof(f19301,plain,(
% 77.22/10.17 ~spl0_472),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f19300])).
% 77.22/10.17 fof(f19317,plain,(
% 77.22/10.17 spl0_475 <=> subset(X0,X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f19320,plain,(
% 77.22/10.17 ![X0]: (~empty_set=empty_set|subset(X0,X0)|~spl0_7)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f19225,f458])).
% 77.22/10.17 fof(f19321,plain,(
% 77.22/10.17 ~spl0_5|spl0_475|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f19320,f807,f19317,f819])).
% 77.22/10.17 fof(f19360,plain,(
% 77.22/10.17 ![X0,X1]: (empty_set=identity_relation(set_intersection2(X0,X1))|~empty(X1)|~spl0_12)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f190,f18422])).
% 77.22/10.17 fof(f19364,plain,(
% 77.22/10.17 empty_set=identity_relation(empty_set)|~empty(empty_set)|~spl0_12),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f555,f19360])).
% 77.22/10.17 fof(f19365,plain,(
% 77.22/10.17 spl0_10|~spl0_3|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f19364,f2097,f794,f3390])).
% 77.22/10.17 fof(f19425,plain,(
% 77.22/10.17 spl0_476 <=> empty_set=identity_relation(set_intersection2(X0,empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f19428,plain,(
% 77.22/10.17 ![X0]: (in(sk0_0(empty_set,empty_set),empty_set)|empty_set=identity_relation(set_intersection2(X0,empty_set))|~spl0_12)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f555,f18274])).
% 77.22/10.17 fof(f19429,plain,(
% 77.22/10.17 spl0_457|spl0_476|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f19428,f18424,f19425,f3390])).
% 77.22/10.17 fof(f19437,plain,(
% 77.22/10.17 spl0_477 <=> ~relation(set_intersection2(X0,empty_set))|empty_set=relation_dom_restriction(set_intersection2(X0,empty_set),X1)|~relation(set_intersection2(X0,empty_set))|empty_set=relation_dom_restriction(set_intersection2(X0,empty_set),X1)|~in(sk0_2(X1,empty_set,set_intersection2(X0,empty_set)),X1)|~in(ordered_pair(sk0_2(X1,empty_set,set_intersection2(X0,empty_set)),sk0_3(X1,empty_set,set_intersection2(X0,empty_set))),set_intersection2(X0,empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f19440,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(set_intersection2(X0,empty_set))|empty_set=relation_dom_restriction(set_intersection2(X0,empty_set),X1)|~relation(set_intersection2(X0,empty_set))|~relation(empty_set)|empty_set=relation_dom_restriction(set_intersection2(X0,empty_set),X1)|~in(sk0_2(X1,empty_set,set_intersection2(X0,empty_set)),X1)|~in(ordered_pair(sk0_2(X1,empty_set,set_intersection2(X0,empty_set)),sk0_3(X1,empty_set,set_intersection2(X0,empty_set))),set_intersection2(X0,empty_set))|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f18283,f213])).
% 77.22/10.17 fof(f19441,plain,(
% 77.22/10.17 spl0_477|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f19440,f19437,f799,f5790])).
% 77.22/10.17 fof(f20301,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(relation_dom_restriction(X0,X1))|~in(X2,relation_dom(relation_dom_restriction(X0,X1)))|~relation(X0)|in(ordered_pair(X2,sk0_22(X2,relation_dom(relation_dom_restriction(X0,X1)),relation_dom_restriction(X0,X1))),X0))),
% 77.22/10.17 inference(resolution,[status(thm)],[f771,f824])).
% 77.22/10.17 fof(f20302,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~in(X0,relation_dom(relation_dom_restriction(X1,X2)))|~relation(X1)|in(ordered_pair(X0,sk0_22(X0,relation_dom(relation_dom_restriction(X1,X2)),relation_dom_restriction(X1,X2))),X1))),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f20301,f395])).
% 77.22/10.17 fof(f20303,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(relation_dom_restriction(X0,X1))|~in(X2,relation_dom(relation_dom_restriction(X0,X1)))|~relation(X0)|in(X2,X1))),
% 77.22/10.17 inference(resolution,[status(thm)],[f771,f804])).
% 77.22/10.17 fof(f20304,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~in(X0,relation_dom(relation_dom_restriction(X1,X2)))|~relation(X1)|in(X0,X2))),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f20303,f395])).
% 77.22/10.17 fof(f20326,plain,(
% 77.22/10.17 spl0_478 <=> ~in(X0,relation_dom(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f20329,plain,(
% 77.22/10.17 ![X0]: (~relation(empty_set)|~in(X0,relation_dom(empty_set)))),
% 77.22/10.17 inference(resolution,[status(thm)],[f771,f757])).
% 77.22/10.17 fof(f20330,plain,(
% 77.22/10.17 ~spl0_4|spl0_478),
% 77.22/10.17 inference(split_clause,[status(thm)],[f20329,f799,f20326])).
% 77.22/10.17 fof(f20331,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(X0)|~in(X1,relation_dom(X0))|~empty(X0))),
% 77.22/10.17 inference(resolution,[status(thm)],[f771,f688])).
% 77.22/10.17 fof(f20332,plain,(
% 77.22/10.17 ![X0,X1]: (~in(X0,relation_dom(X1))|~empty(X1))),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f20331,f12131])).
% 77.22/10.17 fof(f20333,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(X0)|~in(X1,relation_dom(X0))|~in(X0,ordered_pair(X1,sk0_22(X1,relation_dom(X0),X0))))),
% 77.22/10.17 inference(resolution,[status(thm)],[f771,f183])).
% 77.22/10.17 fof(f20337,plain,(
% 77.22/10.17 spl0_479 <=> ~in(X0,relation_dom(empty_set))|in(ordered_pair(X0,sk0_22(X0,empty_set,empty_set)),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f20340,plain,(
% 77.22/10.17 ![X0]: (~relation(empty_set)|~in(X0,relation_dom(empty_set))|in(ordered_pair(X0,sk0_22(X0,empty_set,empty_set)),empty_set))),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f654,f771])).
% 77.22/10.17 fof(f20341,plain,(
% 77.22/10.17 ~spl0_4|spl0_479),
% 77.22/10.17 inference(split_clause,[status(thm)],[f20340,f799,f20337])).
% 77.22/10.17 fof(f20349,plain,(
% 77.22/10.17 ![X0,X1,X2,X3]: (~relation(relation_dom_restriction(X0,X1))|X2=relation_dom(relation_dom_restriction(X0,X1))|~in(sk0_23(X2,relation_dom_restriction(X0,X1)),X2)|~relation(X0)|~in(sk0_23(X2,relation_dom_restriction(X0,X1)),X1)|~in(ordered_pair(sk0_23(X2,relation_dom_restriction(X0,X1)),X3),X0))),
% 77.22/10.17 inference(resolution,[status(thm)],[f310,f825])).
% 77.22/10.17 fof(f20350,plain,(
% 77.22/10.17 ![X0,X1,X2,X3]: (X0=relation_dom(relation_dom_restriction(X1,X2))|~in(sk0_23(X0,relation_dom_restriction(X1,X2)),X0)|~relation(X1)|~in(sk0_23(X0,relation_dom_restriction(X1,X2)),X2)|~in(ordered_pair(sk0_23(X0,relation_dom_restriction(X1,X2)),X3),X1))),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f20349,f395])).
% 77.22/10.17 fof(f20407,plain,(
% 77.22/10.17 spl0_480 <=> set_intersection2(empty_set,X0)=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f20410,plain,(
% 77.22/10.17 ![X0,X1]: (set_intersection2(empty_set,X0)=empty_set|in(sk0_21(empty_set,X1,empty_set),empty_set)|~spl0_7)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3460,f19107])).
% 77.22/10.17 fof(f20411,plain,(
% 77.22/10.17 spl0_480|spl0_472|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f20410,f20407,f19256,f819])).
% 77.22/10.17 fof(f20470,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(X0)|~subset(X0,empty_set)|~proper_subset(X1,relation_dom(X0))|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f17853,f657])).
% 77.22/10.17 fof(f20606,plain,(
% 77.22/10.17 ![X0]: (~relation(empty_set)|~subset(empty_set,empty_set)|~proper_subset(X0,empty_set)|~spl0_7)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f654,f20470])).
% 77.22/10.17 fof(f20607,plain,(
% 77.22/10.17 ~spl0_4|~spl0_8|spl0_454|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f20606,f799,f837,f18033,f819])).
% 77.22/10.17 fof(f20666,plain,(
% 77.22/10.17 spl0_481 <=> empty_set=identity_relation(set_difference(empty_set,X0))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f20669,plain,(
% 77.22/10.17 ![X0]: (in(sk0_0(empty_set,empty_set),empty_set)|empty_set=identity_relation(set_difference(empty_set,X0))|~spl0_12)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f634,f18662])).
% 77.22/10.17 fof(f20670,plain,(
% 77.22/10.17 spl0_457|spl0_481|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f20669,f18424,f20666,f3390])).
% 77.22/10.17 fof(f20678,plain,(
% 77.22/10.17 spl0_482 <=> ~relation(set_difference(empty_set,X0))|empty_set=relation_dom_restriction(set_difference(empty_set,X0),X1)|~relation(set_difference(empty_set,X0))|empty_set=relation_dom_restriction(set_difference(empty_set,X0),X1)|~in(sk0_2(X1,empty_set,set_difference(empty_set,X0)),X1)|~in(ordered_pair(sk0_2(X1,empty_set,set_difference(empty_set,X0)),sk0_3(X1,empty_set,set_difference(empty_set,X0))),set_difference(empty_set,X0))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f20681,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(set_difference(empty_set,X0))|empty_set=relation_dom_restriction(set_difference(empty_set,X0),X1)|~relation(set_difference(empty_set,X0))|~relation(empty_set)|empty_set=relation_dom_restriction(set_difference(empty_set,X0),X1)|~in(sk0_2(X1,empty_set,set_difference(empty_set,X0)),X1)|~in(ordered_pair(sk0_2(X1,empty_set,set_difference(empty_set,X0)),sk0_3(X1,empty_set,set_difference(empty_set,X0))),set_difference(empty_set,X0))|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f18672,f213])).
% 77.22/10.17 fof(f20682,plain,(
% 77.22/10.17 spl0_482|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f20681,f20678,f799,f5790])).
% 77.22/10.17 fof(f21007,plain,(
% 77.22/10.17 ![X0]: (~empty(identity_relation(X0))|sk0_39(powerset(X0))=X0)),
% 77.22/10.17 inference(resolution,[status(thm)],[f17925,f13882])).
% 77.22/10.17 fof(f21220,plain,(
% 77.22/10.17 spl0_483 <=> ~in(X0,relation_dom(relation_dom_restriction(empty_set,X1)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f21223,plain,(
% 77.22/10.17 ![X0,X1]: (~in(X0,relation_dom(relation_dom_restriction(empty_set,X1)))|~relation(empty_set))),
% 77.22/10.17 inference(resolution,[status(thm)],[f20302,f757])).
% 77.22/10.17 fof(f21224,plain,(
% 77.22/10.17 spl0_483|~spl0_4),
% 77.22/10.17 inference(split_clause,[status(thm)],[f21223,f21220,f799])).
% 77.22/10.17 fof(f21237,plain,(
% 77.22/10.17 spl0_484 <=> ~in(X0,relation_dom(relation_dom_restriction(empty_set,X1)))|in(ordered_pair(X0,sk0_22(X0,relation_dom(empty_set),relation_dom_restriction(empty_set,X1))),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f21240,plain,(
% 77.22/10.17 ![X0,X1]: (~in(X0,relation_dom(relation_dom_restriction(empty_set,X1)))|~relation(empty_set)|in(ordered_pair(X0,sk0_22(X0,relation_dom(empty_set),relation_dom_restriction(empty_set,X1))),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f20302])).
% 77.22/10.17 fof(f21241,plain,(
% 77.22/10.17 spl0_484|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f21240,f21237,f799,f2097,f3762])).
% 77.22/10.17 fof(f21248,plain,(
% 77.22/10.17 spl0_485 <=> ~in(X0,relation_dom(relation_dom_restriction(empty_set,X1)))|in(ordered_pair(X0,sk0_22(X0,relation_dom(relation_dom_restriction(empty_set,X1)),empty_set)),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f21251,plain,(
% 77.22/10.17 ![X0,X1]: (~in(X0,relation_dom(relation_dom_restriction(empty_set,X1)))|~relation(empty_set)|in(ordered_pair(X0,sk0_22(X0,relation_dom(relation_dom_restriction(empty_set,X1)),empty_set)),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f20302])).
% 77.22/10.17 fof(f21252,plain,(
% 77.22/10.17 spl0_485|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f21251,f21248,f799,f2097,f3762])).
% 77.22/10.17 fof(f21321,plain,(
% 77.22/10.17 spl0_486 <=> relation(sk0_53)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f21323,plain,(
% 77.22/10.17 ~relation(sk0_53)|spl0_486),
% 77.22/10.17 inference(component_clause,[status(thm)],[f21321])).
% 77.22/10.17 fof(f21324,plain,(
% 77.22/10.17 ~relation(sk0_53)|in(sk0_54,sk0_55)|~spl0_0),
% 77.22/10.17 inference(resolution,[status(thm)],[f20304,f731])).
% 77.22/10.17 fof(f21325,plain,(
% 77.22/10.17 ~spl0_486|spl0_1|~spl0_0),
% 77.22/10.17 inference(split_clause,[status(thm)],[f21324,f21321,f733,f730])).
% 77.22/10.17 fof(f21356,plain,(
% 77.22/10.17 spl0_487 <=> ~in(X0,relation_dom(empty_set))|in(X0,X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f21359,plain,(
% 77.22/10.17 ![X0,X1]: (~in(X0,relation_dom(empty_set))|~relation(empty_set)|in(X0,X1)|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f20304])).
% 77.22/10.17 fof(f21360,plain,(
% 77.22/10.17 spl0_487|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f21359,f21356,f799,f2097,f3762])).
% 77.22/10.17 fof(f21361,plain,(
% 77.22/10.17 $false|spl0_486),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f21323,f698])).
% 77.22/10.17 fof(f21362,plain,(
% 77.22/10.17 spl0_486),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f21361])).
% 77.22/10.17 fof(f21667,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(relation_dom_restriction(X0,X1))|X2=relation_dom(relation_dom_restriction(X0,X1))|in(sk0_23(X2,relation_dom_restriction(X0,X1)),X2)|~relation(X0)|in(ordered_pair(sk0_23(X2,relation_dom_restriction(X0,X1)),sk0_24(X2,relation_dom_restriction(X0,X1))),X0))),
% 77.22/10.17 inference(resolution,[status(thm)],[f311,f824])).
% 77.22/10.17 fof(f21668,plain,(
% 77.22/10.17 ![X0,X1,X2]: (X0=relation_dom(relation_dom_restriction(X1,X2))|in(sk0_23(X0,relation_dom_restriction(X1,X2)),X0)|~relation(X1)|in(ordered_pair(sk0_23(X0,relation_dom_restriction(X1,X2)),sk0_24(X0,relation_dom_restriction(X1,X2))),X1))),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f21667,f395])).
% 77.22/10.17 fof(f21669,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(relation_dom_restriction(X0,X1))|X2=relation_dom(relation_dom_restriction(X0,X1))|in(sk0_23(X2,relation_dom_restriction(X0,X1)),X2)|~relation(X0)|in(sk0_23(X2,relation_dom_restriction(X0,X1)),X1))),
% 77.22/10.17 inference(resolution,[status(thm)],[f311,f804])).
% 77.22/10.17 fof(f21670,plain,(
% 77.22/10.17 ![X0,X1,X2]: (X0=relation_dom(relation_dom_restriction(X1,X2))|in(sk0_23(X0,relation_dom_restriction(X1,X2)),X0)|~relation(X1)|in(sk0_23(X0,relation_dom_restriction(X1,X2)),X2))),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f21669,f395])).
% 77.22/10.17 fof(f21673,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(X0)|X1=relation_dom(X0)|in(sk0_23(X1,X0),X1)|~relation(X0)|in(sk0_23(X1,X0),relation_dom(X0)))),
% 77.22/10.17 inference(resolution,[status(thm)],[f311,f772])).
% 77.22/10.17 fof(f21674,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(X0)|X1=relation_dom(X0)|in(sk0_23(X1,X0),X1)|in(sk0_23(X1,X0),relation_dom(X0)))),
% 77.22/10.17 inference(duplicate_literals_removal,[status(esa)],[f21673])).
% 77.22/10.17 fof(f21697,plain,(
% 77.22/10.17 spl0_488 <=> X0=relation_dom(empty_set)|in(sk0_23(X0,empty_set),X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f21698,plain,(
% 77.22/10.17 ![X0]: (X0=relation_dom(empty_set)|in(sk0_23(X0,empty_set),X0)|~spl0_488)),
% 77.22/10.17 inference(component_clause,[status(thm)],[f21697])).
% 77.22/10.17 fof(f21700,plain,(
% 77.22/10.17 ![X0]: (~relation(empty_set)|X0=relation_dom(empty_set)|in(sk0_23(X0,empty_set),X0))),
% 77.22/10.17 inference(resolution,[status(thm)],[f311,f757])).
% 77.22/10.17 fof(f21701,plain,(
% 77.22/10.17 ~spl0_4|spl0_488),
% 77.22/10.17 inference(split_clause,[status(thm)],[f21700,f799,f21697])).
% 77.22/10.17 fof(f21705,plain,(
% 77.22/10.17 ![X0]: (X0=empty_set|in(sk0_23(X0,empty_set),X0)|~spl0_488)),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f654,f21698])).
% 77.22/10.17 fof(f21773,plain,(
% 77.22/10.17 ![X0,X1]: (~in(X0,union(relation_dom(X1)))|~empty(X1))),
% 77.22/10.17 inference(resolution,[status(thm)],[f774,f20332])).
% 77.22/10.17 fof(f21792,plain,(
% 77.22/10.17 ![X0]: (~in(X0,union(empty_set)))),
% 77.22/10.17 inference(resolution,[status(thm)],[f774,f757])).
% 77.22/10.17 fof(f21801,plain,(
% 77.22/10.17 spl0_489 <=> ~in(ordered_pair(sk0_54,X0),sk0_53)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f21802,plain,(
% 77.22/10.17 ![X0]: (~in(ordered_pair(sk0_54,X0),sk0_53)|~spl0_489)),
% 77.22/10.17 inference(component_clause,[status(thm)],[f21801])).
% 77.22/10.17 fof(f21804,plain,(
% 77.22/10.17 ![X0]: (~relation(sk0_53)|~in(sk0_54,sk0_55)|~in(ordered_pair(sk0_54,X0),sk0_53)|spl0_0)),
% 77.22/10.17 inference(resolution,[status(thm)],[f732,f827])).
% 77.22/10.17 fof(f21805,plain,(
% 77.22/10.17 ~spl0_486|~spl0_1|spl0_489|spl0_0),
% 77.22/10.17 inference(split_clause,[status(thm)],[f21804,f21321,f733,f21801,f730])).
% 77.22/10.17 fof(f21812,plain,(
% 77.22/10.17 spl0_491 <=> subset(sk0_53,empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f21815,plain,(
% 77.22/10.17 ~relation(sk0_53)|~subset(sk0_53,empty_set)|~spl0_2|~spl0_7),
% 77.22/10.17 inference(resolution,[status(thm)],[f738,f17083])).
% 77.22/10.17 fof(f21816,plain,(
% 77.22/10.17 ~spl0_486|~spl0_491|~spl0_2|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f21815,f21321,f21812,f737,f819])).
% 77.22/10.17 fof(f21824,plain,(
% 77.22/10.17 spl0_492 <=> ~in(sk0_54,relation_dom(relation_dom_restriction(sk0_53,X0)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f21825,plain,(
% 77.22/10.17 ![X0]: (~in(sk0_54,relation_dom(relation_dom_restriction(sk0_53,X0)))|~spl0_492)),
% 77.22/10.17 inference(component_clause,[status(thm)],[f21824])).
% 77.22/10.17 fof(f21827,plain,(
% 77.22/10.17 ![X0]: (~in(sk0_54,relation_dom(relation_dom_restriction(sk0_53,X0)))|~relation(sk0_53)|~spl0_489)),
% 77.22/10.17 inference(resolution,[status(thm)],[f21802,f20302])).
% 77.22/10.17 fof(f21828,plain,(
% 77.22/10.17 spl0_492|~spl0_486|~spl0_489),
% 77.22/10.17 inference(split_clause,[status(thm)],[f21827,f21824,f21321,f21801])).
% 77.22/10.17 fof(f21829,plain,(
% 77.22/10.17 ~relation(sk0_53)|~in(sk0_54,relation_dom(sk0_53))|~spl0_489),
% 77.22/10.17 inference(resolution,[status(thm)],[f21802,f771])).
% 77.22/10.17 fof(f21830,plain,(
% 77.22/10.17 ~spl0_486|~spl0_2|~spl0_489),
% 77.22/10.17 inference(split_clause,[status(thm)],[f21829,f21321,f737,f21801])).
% 77.22/10.17 fof(f21833,plain,(
% 77.22/10.17 spl0_493 <=> ~in(sk0_54,relation_dom(X0))|~relation(X0)|~subset(X0,sk0_53)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f21834,plain,(
% 77.22/10.17 ![X0]: (~in(sk0_54,relation_dom(X0))|~relation(X0)|~subset(X0,sk0_53)|~spl0_493)),
% 77.22/10.17 inference(component_clause,[status(thm)],[f21833])).
% 77.22/10.17 fof(f21836,plain,(
% 77.22/10.17 ![X0]: (~in(sk0_54,relation_dom(X0))|~relation(X0)|~relation(sk0_53)|~subset(X0,sk0_53)|spl0_2)),
% 77.22/10.17 inference(resolution,[status(thm)],[f739,f17084])).
% 77.22/10.17 fof(f21837,plain,(
% 77.22/10.17 spl0_493|~spl0_486|spl0_2),
% 77.22/10.17 inference(split_clause,[status(thm)],[f21836,f21833,f21321,f737])).
% 77.22/10.17 fof(f21926,plain,(
% 77.22/10.17 ![X0]: (singleton(X0)=empty_set|sk0_23(singleton(X0),empty_set)=X0|~spl0_488)),
% 77.22/10.17 inference(resolution,[status(thm)],[f21705,f755])).
% 77.22/10.17 fof(f21927,plain,(
% 77.22/10.17 ![X0]: (sk0_23(singleton(X0),empty_set)=X0|~spl0_488)),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f21926,f445])).
% 77.22/10.17 fof(f21949,plain,(
% 77.22/10.17 spl0_494 <=> ~in(X0,relation_dom(empty_set))|~in(empty_set,ordered_pair(X0,sk0_22(X0,empty_set,empty_set)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f21952,plain,(
% 77.22/10.17 ![X0]: (~relation(empty_set)|~in(X0,relation_dom(empty_set))|~in(empty_set,ordered_pair(X0,sk0_22(X0,empty_set,empty_set))))),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f654,f20333])).
% 77.22/10.17 fof(f21953,plain,(
% 77.22/10.17 ~spl0_4|spl0_494),
% 77.22/10.17 inference(split_clause,[status(thm)],[f21952,f799,f21949])).
% 77.22/10.17 fof(f21960,plain,(
% 77.22/10.17 spl0_495 <=> proper_subset(empty_set,X0)|empty_set=X0),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f21963,plain,(
% 77.22/10.17 ![X0]: (~empty(empty_set)|proper_subset(empty_set,X0)|empty_set=X0|~spl0_10)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f2098,f18026])).
% 77.22/10.17 fof(f21964,plain,(
% 77.22/10.17 ~spl0_3|spl0_495|~spl0_10),
% 77.22/10.17 inference(split_clause,[status(thm)],[f21963,f794,f21960,f2097])).
% 77.22/10.17 fof(f22110,plain,(
% 77.22/10.17 ~empty(identity_relation(empty_set))|sk0_39(singleton(empty_set))=empty_set),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f540,f21007])).
% 77.22/10.17 fof(f22111,plain,(
% 77.22/10.17 ~spl0_260|spl0_462),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22110,f9881,f18619])).
% 77.22/10.17 fof(f22153,plain,(
% 77.22/10.17 spl0_496 <=> X0=relation_dom(relation_dom_restriction(empty_set,X1))|~in(sk0_23(X0,relation_dom_restriction(empty_set,X1)),X0)|~in(sk0_23(X0,relation_dom_restriction(empty_set,X1)),X1)|~in(ordered_pair(sk0_23(X0,empty_set),X2),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22156,plain,(
% 77.22/10.17 ![X0,X1,X2]: (X0=relation_dom(relation_dom_restriction(empty_set,X1))|~in(sk0_23(X0,relation_dom_restriction(empty_set,X1)),X0)|~relation(empty_set)|~in(sk0_23(X0,relation_dom_restriction(empty_set,X1)),X1)|~in(ordered_pair(sk0_23(X0,empty_set),X2),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f20350])).
% 77.22/10.17 fof(f22157,plain,(
% 77.22/10.17 spl0_496|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22156,f22153,f799,f2097,f3762])).
% 77.22/10.17 fof(f22196,plain,(
% 77.22/10.17 spl0_497 <=> union(empty_set)=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22209,plain,(
% 77.22/10.17 union(empty_set)=empty_set),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f246])).
% 77.22/10.17 fof(f22236,plain,(
% 77.22/10.17 spl0_500 <=> relation(union(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22238,plain,(
% 77.22/10.17 ~relation(union(empty_set))|spl0_500),
% 77.22/10.17 inference(component_clause,[status(thm)],[f22236])).
% 77.22/10.17 fof(f22239,plain,(
% 77.22/10.17 spl0_501 <=> X0=relation_dom(union(empty_set))|in(sk0_23(X0,union(empty_set)),X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22242,plain,(
% 77.22/10.17 ![X0]: (~relation(union(empty_set))|X0=relation_dom(union(empty_set))|in(sk0_23(X0,union(empty_set)),X0))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f311])).
% 77.22/10.17 fof(f22243,plain,(
% 77.22/10.17 ~spl0_500|spl0_501),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22242,f22236,f22239])).
% 77.22/10.17 fof(f22244,plain,(
% 77.22/10.17 spl0_502 <=> relation_dom_restriction(X0,X1)=relation_dom_restriction(union(empty_set),X2)|~relation(X0)|in(sk0_2(X2,relation_dom_restriction(X0,X1),union(empty_set)),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22247,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(union(empty_set))|relation_dom_restriction(X0,X1)=relation_dom_restriction(union(empty_set),X2)|~relation(X0)|in(sk0_2(X2,relation_dom_restriction(X0,X1),union(empty_set)),X1))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f5784])).
% 77.22/10.17 fof(f22248,plain,(
% 77.22/10.17 ~spl0_500|spl0_502),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22247,f22236,f22244])).
% 77.22/10.17 fof(f22249,plain,(
% 77.22/10.17 spl0_503 <=> ~relation(X0)|relation_dom_restriction(union(empty_set),X1)=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,relation_dom_restriction(union(empty_set),X1),X0),sk0_3(X2,relation_dom_restriction(union(empty_set),X1),X0)),X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22252,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(X0)|relation_dom_restriction(union(empty_set),X1)=relation_dom_restriction(X0,X2)|in(ordered_pair(sk0_2(X2,relation_dom_restriction(union(empty_set),X1),X0),sk0_3(X2,relation_dom_restriction(union(empty_set),X1),X0)),X0)|~relation(union(empty_set)))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f5782])).
% 77.22/10.17 fof(f22253,plain,(
% 77.22/10.17 spl0_503|~spl0_500),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22252,f22249,f22236])).
% 77.22/10.17 fof(f22254,plain,(
% 77.22/10.17 spl0_504 <=> ~relation(X0)|relation_dom_restriction(union(empty_set),X1)=relation_dom_restriction(X0,X2)|in(sk0_2(X2,relation_dom_restriction(union(empty_set),X1),X0),X2)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22257,plain,(
% 77.22/10.17 ![X0,X1,X2]: (~relation(X0)|relation_dom_restriction(union(empty_set),X1)=relation_dom_restriction(X0,X2)|in(sk0_2(X2,relation_dom_restriction(union(empty_set),X1),X0),X2)|~relation(union(empty_set)))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f5761])).
% 77.22/10.17 fof(f22258,plain,(
% 77.22/10.17 spl0_504|~spl0_500),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22257,f22254,f22236])).
% 77.22/10.17 fof(f22264,plain,(
% 77.22/10.17 spl0_505 <=> empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(union(empty_set),X0),X1),X2)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22267,plain,(
% 77.22/10.17 ![X0,X1,X2]: (empty_set=relation_dom_restriction(relation_dom_restriction(relation_dom_restriction(union(empty_set),X0),X1),X2)|~relation(union(empty_set))|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f7123])).
% 77.22/10.17 fof(f22268,plain,(
% 77.22/10.17 spl0_505|~spl0_500|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22267,f22264,f22236,f5790])).
% 77.22/10.17 fof(f22269,plain,(
% 77.22/10.17 spl0_506 <=> empty_set=relation_dom_restriction(relation_dom_restriction(union(empty_set),X0),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22272,plain,(
% 77.22/10.17 ![X0,X1]: (empty_set=relation_dom_restriction(relation_dom_restriction(union(empty_set),X0),X1)|~relation(union(empty_set))|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f5889])).
% 77.22/10.17 fof(f22273,plain,(
% 77.22/10.17 spl0_506|~spl0_500|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22272,f22269,f22236,f5790])).
% 77.22/10.17 fof(f22274,plain,(
% 77.22/10.17 spl0_507 <=> empty_set=relation_dom_restriction(union(empty_set),X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22277,plain,(
% 77.22/10.17 ![X0]: (~relation(union(empty_set))|empty_set=relation_dom_restriction(union(empty_set),X0)|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f5791])).
% 77.22/10.17 fof(f22278,plain,(
% 77.22/10.17 ~spl0_500|spl0_507|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22277,f22236,f22274,f5790])).
% 77.22/10.17 fof(f22279,plain,(
% 77.22/10.17 spl0_508 <=> ~empty(X0)|X0=relation_dom_restriction(union(empty_set),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22282,plain,(
% 77.22/10.17 ![X0,X1]: (~empty(X0)|~relation(union(empty_set))|X0=relation_dom_restriction(union(empty_set),X1))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f12271])).
% 77.22/10.17 fof(f22283,plain,(
% 77.22/10.17 spl0_508|~spl0_500),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22282,f22279,f22236])).
% 77.22/10.17 fof(f22284,plain,(
% 77.22/10.17 spl0_509 <=> ~relation(X0)|X0=relation_dom_restriction(union(empty_set),X1)|~in(X0,ordered_pair(sk0_2(X1,X0,union(empty_set)),sk0_3(X1,X0,union(empty_set))))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22287,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(union(empty_set))|~relation(X0)|X0=relation_dom_restriction(union(empty_set),X1)|~in(X0,ordered_pair(sk0_2(X1,X0,union(empty_set)),sk0_3(X1,X0,union(empty_set)))))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f5797])).
% 77.22/10.17 fof(f22288,plain,(
% 77.22/10.17 ~spl0_500|spl0_509),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22287,f22236,f22284])).
% 77.22/10.17 fof(f22289,plain,(
% 77.22/10.17 spl0_510 <=> ~relation(X0)|X0=relation_dom_restriction(union(empty_set),X1)|in(sk0_2(X1,X0,union(empty_set)),relation_dom(X0))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22292,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(union(empty_set))|~relation(X0)|X0=relation_dom_restriction(union(empty_set),X1)|in(sk0_2(X1,X0,union(empty_set)),relation_dom(X0)))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f5788])).
% 77.22/10.17 fof(f22293,plain,(
% 77.22/10.17 ~spl0_500|spl0_510),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22292,f22236,f22289])).
% 77.22/10.17 fof(f22294,plain,(
% 77.22/10.17 spl0_511 <=> ~relation(X0)|union(empty_set)=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,union(empty_set),X0),sk0_3(X1,union(empty_set),X0)),X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22297,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(X0)|~relation(union(empty_set))|union(empty_set)=relation_dom_restriction(X0,X1)|in(ordered_pair(sk0_2(X1,union(empty_set),X0),sk0_3(X1,union(empty_set),X0)),X0))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f215])).
% 77.22/10.17 fof(f22298,plain,(
% 77.22/10.17 spl0_511|~spl0_500),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22297,f22294,f22236])).
% 77.22/10.17 fof(f22299,plain,(
% 77.22/10.17 spl0_512 <=> ~relation(X0)|union(empty_set)=relation_dom_restriction(X0,X1)|in(sk0_2(X1,union(empty_set),X0),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22302,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(X0)|~relation(union(empty_set))|union(empty_set)=relation_dom_restriction(X0,X1)|in(sk0_2(X1,union(empty_set),X0),X1))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f214])).
% 77.22/10.17 fof(f22303,plain,(
% 77.22/10.17 spl0_512|~spl0_500),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22302,f22299,f22236])).
% 77.22/10.17 fof(f22304,plain,(
% 77.22/10.17 spl0_513 <=> relation_dom_restriction(union(empty_set),X0)=identity_relation(X1)|sk0_0(X1,relation_dom_restriction(union(empty_set),X0))=sk0_1(X1,relation_dom_restriction(union(empty_set),X0))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22307,plain,(
% 77.22/10.17 ![X0,X1]: (relation_dom_restriction(union(empty_set),X0)=identity_relation(X1)|sk0_0(X1,relation_dom_restriction(union(empty_set),X0))=sk0_1(X1,relation_dom_restriction(union(empty_set),X0))|~relation(union(empty_set)))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f3404])).
% 77.22/10.17 fof(f22308,plain,(
% 77.22/10.17 spl0_513|~spl0_500),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22307,f22304,f22236])).
% 77.22/10.17 fof(f22309,plain,(
% 77.22/10.17 spl0_514 <=> relation_dom_restriction(union(empty_set),X0)=identity_relation(X1)|in(sk0_0(X1,relation_dom_restriction(union(empty_set),X0)),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22312,plain,(
% 77.22/10.17 ![X0,X1]: (relation_dom_restriction(union(empty_set),X0)=identity_relation(X1)|in(sk0_0(X1,relation_dom_restriction(union(empty_set),X0)),X1)|~relation(union(empty_set)))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f3385])).
% 77.22/10.17 fof(f22313,plain,(
% 77.22/10.17 spl0_514|~spl0_500),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22312,f22309,f22236])).
% 77.22/10.17 fof(f22314,plain,(
% 77.22/10.17 spl0_515 <=> union(empty_set)=identity_relation(X0)|sk0_0(X0,union(empty_set))=sk0_1(X0,union(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22317,plain,(
% 77.22/10.17 ![X0]: (~relation(union(empty_set))|union(empty_set)=identity_relation(X0)|sk0_0(X0,union(empty_set))=sk0_1(X0,union(empty_set)))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f200])).
% 77.22/10.17 fof(f22318,plain,(
% 77.22/10.17 ~spl0_500|spl0_515),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22317,f22236,f22314])).
% 77.22/10.17 fof(f22319,plain,(
% 77.22/10.17 spl0_516 <=> union(empty_set)=identity_relation(X0)|in(sk0_0(X0,union(empty_set)),X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22322,plain,(
% 77.22/10.17 ![X0]: (~relation(union(empty_set))|union(empty_set)=identity_relation(X0)|in(sk0_0(X0,union(empty_set)),X0))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f199])).
% 77.22/10.17 fof(f22323,plain,(
% 77.22/10.17 ~spl0_500|spl0_516),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22322,f22236,f22319])).
% 77.22/10.17 fof(f22324,plain,(
% 77.22/10.17 spl0_517 <=> ~in(X0,relation_dom(relation_dom_restriction(union(empty_set),X1)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22327,plain,(
% 77.22/10.17 ![X0,X1]: (~in(X0,relation_dom(relation_dom_restriction(union(empty_set),X1)))|~relation(union(empty_set)))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f20302])).
% 77.22/10.17 fof(f22328,plain,(
% 77.22/10.17 spl0_517|~spl0_500),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22327,f22324,f22236])).
% 77.22/10.17 fof(f22329,plain,(
% 77.22/10.17 spl0_518 <=> ~in(X0,relation_dom(union(empty_set)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22332,plain,(
% 77.22/10.17 ![X0]: (~relation(union(empty_set))|~in(X0,relation_dom(union(empty_set))))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21792,f771])).
% 77.22/10.17 fof(f22333,plain,(
% 77.22/10.17 ~spl0_500|spl0_518),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22332,f22236,f22329])).
% 77.22/10.17 fof(f22753,plain,(
% 77.22/10.17 ![X0]: (~relation(singleton(ordered_pair(sk0_54,X0)))|~subset(singleton(ordered_pair(sk0_54,X0)),sk0_53)|~spl0_493|~spl0_156)),
% 77.22/10.17 inference(resolution,[status(thm)],[f21834,f7767])).
% 77.22/10.17 fof(f22754,plain,(
% 77.22/10.17 ![X0]: (~subset(singleton(ordered_pair(sk0_54,X0)),sk0_53)|~spl0_493|~spl0_156)),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f22753,f7723])).
% 77.22/10.17 fof(f22812,plain,(
% 77.22/10.17 spl0_523 <=> subset(empty_set,sk0_53)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22814,plain,(
% 77.22/10.17 ~subset(empty_set,sk0_53)|spl0_523),
% 77.22/10.17 inference(component_clause,[status(thm)],[f22812])).
% 77.22/10.17 fof(f22827,plain,(
% 77.22/10.17 ![X0]: (~in(ordered_pair(sk0_54,X0),sk0_53)|~spl0_493|~spl0_156)),
% 77.22/10.17 inference(resolution,[status(thm)],[f22754,f455])).
% 77.22/10.17 fof(f22828,plain,(
% 77.22/10.17 spl0_489|~spl0_493|~spl0_156),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22827,f21801,f21833,f6530])).
% 77.22/10.17 fof(f22856,plain,(
% 77.22/10.17 $false|spl0_523),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f22814,f563])).
% 77.22/10.17 fof(f22857,plain,(
% 77.22/10.17 spl0_523),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f22856])).
% 77.22/10.17 fof(f22861,plain,(
% 77.22/10.17 spl0_528 <=> singleton(X0)=relation_dom(empty_set)|in(sk0_23(singleton(X0),empty_set),singleton(X0))|in(ordered_pair(X0,sk0_24(singleton(X0),empty_set)),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22864,plain,(
% 77.22/10.17 ![X0]: (~relation(empty_set)|singleton(X0)=relation_dom(empty_set)|in(sk0_23(singleton(X0),empty_set),singleton(X0))|in(ordered_pair(X0,sk0_24(singleton(X0),empty_set)),empty_set)|~spl0_488)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f21927,f311])).
% 77.22/10.17 fof(f22865,plain,(
% 77.22/10.17 ~spl0_4|spl0_528|~spl0_488),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22864,f799,f22861,f21697])).
% 77.22/10.17 fof(f22866,plain,(
% 77.22/10.17 spl0_529 <=> singleton(X0)=relation_dom(empty_set)|~in(sk0_23(singleton(X0),empty_set),singleton(X0))|~in(ordered_pair(X0,X1),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22869,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(empty_set)|singleton(X0)=relation_dom(empty_set)|~in(sk0_23(singleton(X0),empty_set),singleton(X0))|~in(ordered_pair(X0,X1),empty_set)|~spl0_488)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f21927,f310])).
% 77.22/10.17 fof(f22870,plain,(
% 77.22/10.17 ~spl0_4|spl0_529|~spl0_488),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22869,f799,f22866,f21697])).
% 77.22/10.17 fof(f22886,plain,(
% 77.22/10.17 spl0_530 <=> powerset(empty_set)=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22887,plain,(
% 77.22/10.17 powerset(empty_set)=empty_set|~spl0_530),
% 77.22/10.17 inference(component_clause,[status(thm)],[f22886])).
% 77.22/10.17 fof(f22889,plain,(
% 77.22/10.17 spl0_531 <=> ~relation(sk0_21(powerset(empty_set),X0,empty_set))|relation(relation_dom(sk0_21(powerset(empty_set),X0,empty_set)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22892,plain,(
% 77.22/10.17 ![X0]: (powerset(empty_set)=empty_set|~relation(sk0_21(powerset(empty_set),X0,empty_set))|relation(relation_dom(sk0_21(powerset(empty_set),X0,empty_set)))|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f19112,f17114])).
% 77.22/10.17 fof(f22893,plain,(
% 77.22/10.17 spl0_530|spl0_531|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22892,f22886,f22889,f819])).
% 77.22/10.17 fof(f22894,plain,(
% 77.22/10.17 spl0_532 <=> ~relation(sk0_21(powerset(empty_set),X0,empty_set))|empty(relation_dom(sk0_21(powerset(empty_set),X0,empty_set)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22897,plain,(
% 77.22/10.17 ![X0]: (powerset(empty_set)=empty_set|~relation(sk0_21(powerset(empty_set),X0,empty_set))|empty(relation_dom(sk0_21(powerset(empty_set),X0,empty_set)))|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f19112,f17106])).
% 77.22/10.17 fof(f22898,plain,(
% 77.22/10.17 spl0_530|spl0_532|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22897,f22886,f22894,f819])).
% 77.22/10.17 fof(f22899,plain,(
% 77.22/10.17 spl0_533 <=> sk0_21(powerset(empty_set),X0,empty_set)=empty_set),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22902,plain,(
% 77.22/10.17 ![X0]: (powerset(empty_set)=empty_set|sk0_21(powerset(empty_set),X0,empty_set)=empty_set|~spl0_7|~spl0_23)),
% 77.22/10.17 inference(resolution,[status(thm)],[f19112,f3675])).
% 77.22/10.17 fof(f22903,plain,(
% 77.22/10.17 spl0_530|spl0_533|~spl0_7|~spl0_23),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22902,f22886,f22899,f819,f3669])).
% 77.22/10.17 fof(f22904,plain,(
% 77.22/10.17 spl0_534 <=> empty_set=relation_dom(sk0_21(powerset(empty_set),X0,empty_set))|~relation(sk0_21(powerset(empty_set),X0,empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22907,plain,(
% 77.22/10.17 ![X0]: (powerset(empty_set)=empty_set|empty_set=relation_dom(sk0_21(powerset(empty_set),X0,empty_set))|~relation(sk0_21(powerset(empty_set),X0,empty_set))|~spl0_7)),
% 77.22/10.17 inference(resolution,[status(thm)],[f19112,f3421])).
% 77.22/10.17 fof(f22908,plain,(
% 77.22/10.17 spl0_530|spl0_534|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22907,f22886,f22904,f819])).
% 77.22/10.17 fof(f22915,plain,(
% 77.22/10.17 spl0_535 <=> subset(sk0_21(singleton(empty_set),X0,empty_set),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f22918,plain,(
% 77.22/10.17 ![X0]: (powerset(empty_set)=empty_set|subset(sk0_21(singleton(empty_set),X0,empty_set),empty_set)|~spl0_7)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f540,f19112])).
% 77.22/10.17 fof(f22919,plain,(
% 77.22/10.17 spl0_530|spl0_535|~spl0_7),
% 77.22/10.17 inference(split_clause,[status(thm)],[f22918,f22886,f22915,f819])).
% 77.22/10.17 fof(f22920,plain,(
% 77.22/10.17 singleton(empty_set)=empty_set|~spl0_530),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f540,f22887])).
% 77.22/10.17 fof(f22921,plain,(
% 77.22/10.17 $false|~spl0_530),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f22920,f445])).
% 77.22/10.17 fof(f22922,plain,(
% 77.22/10.17 ~spl0_530),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f22921])).
% 77.22/10.17 fof(f23019,plain,(
% 77.22/10.17 ~relation(empty_set)|spl0_500),
% 77.22/10.17 inference(forward_demodulation,[status(thm)],[f22209,f22238])).
% 77.22/10.17 fof(f23020,plain,(
% 77.22/10.17 $false|spl0_500),
% 77.22/10.17 inference(forward_subsumption_resolution,[status(thm)],[f23019,f417])).
% 77.22/10.17 fof(f23021,plain,(
% 77.22/10.17 spl0_500),
% 77.22/10.17 inference(contradiction_clause,[status(thm)],[f23020])).
% 77.22/10.17 fof(f23135,plain,(
% 77.22/10.17 spl0_540 <=> ~relation(X0)|empty_set=relation_dom_restriction(X0,set_difference(X1,relation_dom(empty_set)))|~relation(X0)|empty_set=relation_dom_restriction(X0,set_difference(X1,relation_dom(empty_set)))|in(sk0_2(set_difference(X1,relation_dom(empty_set)),empty_set,X0),set_difference(X1,relation_dom(empty_set)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f23138,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(X0)|empty_set=relation_dom_restriction(X0,set_difference(X1,relation_dom(empty_set)))|~relation(X0)|~relation(empty_set)|empty_set=relation_dom_restriction(X0,set_difference(X1,relation_dom(empty_set)))|in(sk0_2(set_difference(X1,relation_dom(empty_set)),empty_set,X0),set_difference(X1,relation_dom(empty_set)))|~spl0_126)),
% 77.22/10.17 inference(resolution,[status(thm)],[f18712,f5767])).
% 77.22/10.17 fof(f23139,plain,(
% 77.22/10.17 spl0_540|~spl0_4|~spl0_126),
% 77.22/10.17 inference(split_clause,[status(thm)],[f23138,f23135,f799,f5769])).
% 77.22/10.17 fof(f23178,plain,(
% 77.22/10.17 spl0_541 <=> empty_set=identity_relation(set_difference(X0,relation_dom(empty_set)))|empty_set=identity_relation(set_difference(X0,relation_dom(empty_set)))|sk0_0(set_difference(X0,relation_dom(empty_set)),empty_set)=sk0_1(set_difference(X0,relation_dom(empty_set)),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f23181,plain,(
% 77.22/10.17 ![X0]: (empty_set=identity_relation(set_difference(X0,relation_dom(empty_set)))|~relation(empty_set)|empty_set=identity_relation(set_difference(X0,relation_dom(empty_set)))|sk0_0(set_difference(X0,relation_dom(empty_set)),empty_set)=sk0_1(set_difference(X0,relation_dom(empty_set)),empty_set)|~spl0_12)),
% 77.22/10.17 inference(resolution,[status(thm)],[f18720,f3408])).
% 77.22/10.17 fof(f23182,plain,(
% 77.22/10.17 spl0_541|~spl0_4|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f23181,f23178,f799,f3390])).
% 77.22/10.17 fof(f23183,plain,(
% 77.22/10.17 spl0_542 <=> empty_set=identity_relation(set_difference(X0,relation_dom(empty_set)))|empty_set=identity_relation(set_difference(X0,relation_dom(empty_set)))|in(sk0_0(set_difference(X0,relation_dom(empty_set)),empty_set),set_difference(X0,relation_dom(empty_set)))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f23186,plain,(
% 77.22/10.17 ![X0]: (empty_set=identity_relation(set_difference(X0,relation_dom(empty_set)))|~relation(empty_set)|empty_set=identity_relation(set_difference(X0,relation_dom(empty_set)))|in(sk0_0(set_difference(X0,relation_dom(empty_set)),empty_set),set_difference(X0,relation_dom(empty_set)))|~spl0_12)),
% 77.22/10.17 inference(resolution,[status(thm)],[f18720,f3389])).
% 77.22/10.17 fof(f23187,plain,(
% 77.22/10.17 spl0_542|~spl0_4|~spl0_12),
% 77.22/10.17 inference(split_clause,[status(thm)],[f23186,f23183,f799,f3390])).
% 77.22/10.17 fof(f23234,plain,(
% 77.22/10.17 spl0_543 <=> ~relation(set_difference(X0,empty_set))|empty_set=relation_dom_restriction(set_difference(X0,empty_set),X1)|~relation(set_difference(X0,empty_set))|empty_set=relation_dom_restriction(set_difference(X0,empty_set),X1)|in(ordered_pair(sk0_2(X1,empty_set,set_difference(X0,empty_set)),sk0_3(X1,empty_set,set_difference(X0,empty_set))),set_difference(X0,empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f23237,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(set_difference(X0,empty_set))|empty_set=relation_dom_restriction(set_difference(X0,empty_set),X1)|~relation(set_difference(X0,empty_set))|~relation(empty_set)|empty_set=relation_dom_restriction(set_difference(X0,empty_set),X1)|in(ordered_pair(sk0_2(X1,empty_set,set_difference(X0,empty_set)),sk0_3(X1,empty_set,set_difference(X0,empty_set))),set_difference(X0,empty_set))|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f18730,f215])).
% 77.22/10.17 fof(f23238,plain,(
% 77.22/10.17 spl0_543|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f23237,f23234,f799,f5790])).
% 77.22/10.17 fof(f23239,plain,(
% 77.22/10.17 spl0_544 <=> ~relation(set_difference(X0,empty_set))|empty_set=relation_dom_restriction(set_difference(X0,empty_set),X1)|~relation(set_difference(X0,empty_set))|empty_set=relation_dom_restriction(set_difference(X0,empty_set),X1)|in(sk0_2(X1,empty_set,set_difference(X0,empty_set)),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f23242,plain,(
% 77.22/10.17 ![X0,X1]: (~relation(set_difference(X0,empty_set))|empty_set=relation_dom_restriction(set_difference(X0,empty_set),X1)|~relation(set_difference(X0,empty_set))|~relation(empty_set)|empty_set=relation_dom_restriction(set_difference(X0,empty_set),X1)|in(sk0_2(X1,empty_set,set_difference(X0,empty_set)),X1)|~spl0_127)),
% 77.22/10.17 inference(resolution,[status(thm)],[f18730,f214])).
% 77.22/10.17 fof(f23243,plain,(
% 77.22/10.17 spl0_544|~spl0_4|~spl0_127),
% 77.22/10.17 inference(split_clause,[status(thm)],[f23242,f23239,f799,f5790])).
% 77.22/10.17 fof(f23335,plain,(
% 77.22/10.17 ![X0]: (~empty(X0)|empty(union(relation_dom(X0))))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21773,f11577])).
% 77.22/10.17 fof(f23341,plain,(
% 77.22/10.17 ![X0]: (~empty(X0)|union(relation_dom(X0))=empty_set)),
% 77.22/10.17 inference(resolution,[status(thm)],[f21773,f246])).
% 77.22/10.17 fof(f23393,plain,(
% 77.22/10.17 spl0_545 <=> ~in(X0,union(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f23396,plain,(
% 77.22/10.17 ![X0]: (~in(X0,union(empty_set))|~empty(empty_set))),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f654,f21773])).
% 77.22/10.17 fof(f23397,plain,(
% 77.22/10.17 spl0_545|~spl0_3),
% 77.22/10.17 inference(split_clause,[status(thm)],[f23396,f23393,f794])).
% 77.22/10.17 fof(f23402,plain,(
% 77.22/10.17 spl0_546 <=> empty(union(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f23405,plain,(
% 77.22/10.17 ~empty(empty_set)|empty(union(empty_set))),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f654,f23335])).
% 77.22/10.17 fof(f23406,plain,(
% 77.22/10.17 ~spl0_3|spl0_546),
% 77.22/10.17 inference(split_clause,[status(thm)],[f23405,f794,f23402])).
% 77.22/10.17 fof(f23409,plain,(
% 77.22/10.17 ~empty(empty_set)|union(empty_set)=empty_set),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f654,f23341])).
% 77.22/10.17 fof(f23410,plain,(
% 77.22/10.17 ~spl0_3|spl0_497),
% 77.22/10.17 inference(split_clause,[status(thm)],[f23409,f794,f22196])).
% 77.22/10.17 fof(f23454,plain,(
% 77.22/10.17 spl0_547 <=> X0=relation_dom(relation_dom_restriction(empty_set,X1))|in(sk0_23(X0,relation_dom_restriction(empty_set,X1)),X0)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f23457,plain,(
% 77.22/10.17 ![X0,X1]: (X0=relation_dom(relation_dom_restriction(empty_set,X1))|in(sk0_23(X0,relation_dom_restriction(empty_set,X1)),X0)|~relation(empty_set))),
% 77.22/10.17 inference(resolution,[status(thm)],[f21668,f757])).
% 77.22/10.17 fof(f23458,plain,(
% 77.22/10.17 spl0_547|~spl0_4),
% 77.22/10.17 inference(split_clause,[status(thm)],[f23457,f23454,f799])).
% 77.22/10.17 fof(f23468,plain,(
% 77.22/10.17 spl0_548 <=> X0=relation_dom(relation_dom_restriction(empty_set,X1))|in(sk0_23(X0,relation_dom_restriction(empty_set,X1)),X0)|in(ordered_pair(sk0_23(X0,empty_set),sk0_24(X0,relation_dom_restriction(empty_set,X1))),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f23471,plain,(
% 77.22/10.17 ![X0,X1]: (X0=relation_dom(relation_dom_restriction(empty_set,X1))|in(sk0_23(X0,relation_dom_restriction(empty_set,X1)),X0)|~relation(empty_set)|in(ordered_pair(sk0_23(X0,empty_set),sk0_24(X0,relation_dom_restriction(empty_set,X1))),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f21668])).
% 77.22/10.17 fof(f23472,plain,(
% 77.22/10.17 spl0_548|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f23471,f23468,f799,f2097,f3762])).
% 77.22/10.17 fof(f23479,plain,(
% 77.22/10.17 spl0_549 <=> X0=relation_dom(relation_dom_restriction(empty_set,X1))|in(sk0_23(X0,relation_dom_restriction(empty_set,X1)),X0)|in(ordered_pair(sk0_23(X0,relation_dom_restriction(empty_set,X1)),sk0_24(X0,empty_set)),empty_set)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f23482,plain,(
% 77.22/10.17 ![X0,X1]: (X0=relation_dom(relation_dom_restriction(empty_set,X1))|in(sk0_23(X0,relation_dom_restriction(empty_set,X1)),X0)|~relation(empty_set)|in(ordered_pair(sk0_23(X0,relation_dom_restriction(empty_set,X1)),sk0_24(X0,empty_set)),empty_set)|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f21668])).
% 77.22/10.17 fof(f23483,plain,(
% 77.22/10.17 spl0_549|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f23482,f23479,f799,f2097,f3762])).
% 77.22/10.17 fof(f23551,plain,(
% 77.22/10.17 spl0_551 <=> X0=relation_dom(relation_dom_restriction(empty_set,X1))|in(sk0_23(X0,relation_dom_restriction(empty_set,X1)),X0)|in(sk0_23(X0,empty_set),X1)),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f23554,plain,(
% 77.22/10.17 ![X0,X1]: (X0=relation_dom(relation_dom_restriction(empty_set,X1))|in(sk0_23(X0,relation_dom_restriction(empty_set,X1)),X0)|~relation(empty_set)|in(sk0_23(X0,empty_set),X1)|~spl0_10|~spl0_24)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f3771,f21670])).
% 77.22/10.17 fof(f23555,plain,(
% 77.22/10.17 spl0_551|~spl0_4|~spl0_10|~spl0_24),
% 77.22/10.17 inference(split_clause,[status(thm)],[f23554,f23551,f799,f2097,f3762])).
% 77.22/10.17 fof(f23567,plain,(
% 77.22/10.17 spl0_552 <=> singleton(X0)=relation_dom(empty_set)|in(sk0_23(singleton(X0),empty_set),singleton(X0))|in(X0,relation_dom(empty_set))),
% 77.22/10.17 introduced(split_symbol_definition)).
% 77.22/10.17 fof(f23570,plain,(
% 77.22/10.17 ![X0]: (~relation(empty_set)|singleton(X0)=relation_dom(empty_set)|in(sk0_23(singleton(X0),empty_set),singleton(X0))|in(X0,relation_dom(empty_set))|~spl0_488)),
% 77.22/10.17 inference(paramodulation,[status(thm)],[f21927,f21674])).
% 77.66/10.19 fof(f23571,plain,(
% 77.66/10.19 ~spl0_4|spl0_552|~spl0_488),
% 77.66/10.19 inference(split_clause,[status(thm)],[f23570,f799,f23567,f21697])).
% 77.66/10.19 fof(f23575,plain,(
% 77.66/10.19 spl0_553 <=> X0=relation_dom(empty_set)|in(sk0_23(X0,empty_set),X0)|in(sk0_23(X0,empty_set),empty_set)),
% 77.66/10.19 introduced(split_symbol_definition)).
% 77.66/10.19 fof(f23578,plain,(
% 77.66/10.19 ![X0]: (~relation(empty_set)|X0=relation_dom(empty_set)|in(sk0_23(X0,empty_set),X0)|in(sk0_23(X0,empty_set),empty_set))),
% 77.66/10.19 inference(paramodulation,[status(thm)],[f654,f21674])).
% 77.66/10.19 fof(f23579,plain,(
% 77.66/10.19 ~spl0_4|spl0_553),
% 77.66/10.19 inference(split_clause,[status(thm)],[f23578,f799,f23575])).
% 77.66/10.19 fof(f24170,plain,(
% 77.66/10.19 $false|~spl0_492|~spl0_0),
% 77.66/10.19 inference(backward_subsumption_resolution,[status(thm)],[f731,f21825])).
% 77.66/10.19 fof(f24171,plain,(
% 77.66/10.19 ~spl0_492|~spl0_0),
% 77.66/10.19 inference(contradiction_clause,[status(thm)],[f24170])).
% 77.66/10.19 fof(f24172,plain,(
% 77.66/10.19 $false),
% 77.66/10.19 inference(sat_refutation,[status(thm)],[f736,f740,f741,f803,f811,f818,f823,f836,f2116,f2375,f3394,f3413,f3433,f3457,f3485,f3501,f3506,f3511,f3673,f3766,f3779,f3784,f3789,f3794,f3799,f3804,f3809,f3814,f3819,f3824,f3829,f3834,f3839,f3847,f3855,f3860,f3865,f3870,f3875,f3880,f3885,f3890,f3895,f3900,f3905,f3910,f3915,f3920,f3925,f3930,f3935,f3940,f3945,f3950,f3955,f3960,f3965,f3970,f3975,f3980,f3985,f3990,f3995,f4000,f4008,f4013,f4018,f4023,f4028,f4033,f4038,f4043,f4048,f4053,f4058,f4063,f4068,f4073,f4078,f4083,f4088,f4093,f4098,f4103,f4108,f4113,f4118,f4123,f4128,f4133,f4138,f4143,f4148,f4153,f4158,f4163,f4168,f4173,f4178,f4183,f4188,f4193,f4198,f4203,f4208,f4213,f4218,f4223,f4228,f4233,f4238,f4243,f5523,f5532,f5543,f5699,f5704,f5773,f5794,f5799,f5802,f5805,f5817,f5840,f5845,f5856,f5861,f5866,f5871,f5876,f5883,f5901,f5921,f5932,f5959,f5964,f5969,f5980,f6534,f7101,f7106,f7111,f7117,f7137,f7149,f7158,f7177,f7190,f7202,f7205,f7234,f7246,f7255,f7270,f7296,f7309,f7334,f7339,f7364,f7373,f7382,f7389,f7517,f7522,f7530,f7533,f8021,f8089,f8101,f8108,f8113,f8119,f8125,f8132,f8232,f8240,f8262,f8271,f8746,f8751,f8756,f8949,f9037,f9089,f9092,f9131,f9143,f9152,f9192,f9233,f9239,f9246,f9253,f9279,f9369,f9380,f9391,f9396,f9414,f9438,f9452,f9463,f9500,f9505,f9510,f9542,f9565,f9613,f9642,f9691,f9861,f9867,f9878,f9892,f9915,f9920,f9925,f9930,f9936,f9956,f9983,f9988,f9993,f10019,f10031,f10040,f10074,f10086,f10095,f10352,f10390,f10396,f10459,f10471,f10482,f10501,f10508,f10875,f10880,f10887,f10890,f10898,f10908,f10913,f10918,f10923,f10928,f10938,f10943,f10953,f10958,f10962,f10968,f10983,f10994,f11003,f11006,f11015,f11035,f11043,f11215,f11220,f11227,f11232,f11248,f11292,f11300,f11305,f11310,f11416,f11424,f11429,f11434,f11481,f11505,f11530,f11574,f11647,f11652,f11657,f11662,f11667,f11672,f11677,f11929,f11934,f11948,f11953,f11965,f12095,f12410,f12523,f12528,f12537,f12542,f12605,f12610,f12642,f13339,f13344,f13349,f13354,f13359,f13364,f13369,f13442,f13450,f13483,f13491,f13496,f13501,f13506,f13516,f13521,f13526,f13531,f13538,f13543,f13549,f13554,f13560,f13565,f13572,f13712,f13720,f13725,f13730,f13735,f14445,f14447,f14454,f14501,f14507,f14510,f14516,f14527,f14532,f14680,f14845,f14865,f14870,f14997,f15014,f15023,f15086,f15324,f15329,f15411,f15416,f15439,f15444,f15449,f15454,f15459,f15625,f15660,f16318,f17233,f17245,f17252,f17263,f17301,f17308,f17319,f17330,f17852,f18069,f18308,f18343,f18361,f18364,f18371,f18431,f18439,f18447,f18573,f18615,f19260,f19295,f19301,f19321,f19365,f19429,f19441,f20330,f20341,f20411,f20607,f20670,f20682,f21224,f21241,f21252,f21325,f21360,f21362,f21701,f21805,f21816,f21828,f21830,f21837,f21953,f21964,f22111,f22157,f22243,f22248,f22253,f22258,f22268,f22273,f22278,f22283,f22288,f22293,f22298,f22303,f22308,f22313,f22318,f22323,f22328,f22333,f22828,f22857,f22865,f22870,f22893,f22898,f22903,f22908,f22919,f22922,f23021,f23139,f23182,f23187,f23238,f23243,f23397,f23406,f23410,f23458,f23472,f23483,f23555,f23571,f23579,f24171])).
% 77.66/10.19 % SZS output end CNFRefutation for theBenchmark.p
% 77.81/10.29 % Elapsed time: 9.980886 seconds
% 77.81/10.29 % CPU time: 77.745308 seconds
% 77.81/10.29 % Memory used: 476.882 MB
%------------------------------------------------------------------------------