%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU191+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:21:57 PM UTC 2026
% Result : Theorem 24.52s 3.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU191+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:56:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 24.52/3.77 % Refutation found
% 24.52/3.77 % SZS status Theorem for theBenchmark: Theorem is valid
% 24.52/3.77 % SZS output start CNFRefutation for theBenchmark
% 24.52/3.77 fof(f1,axiom,(
% 24.52/3.77 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f2,axiom,(
% 24.52/3.77 (! [A,B] :( proper_subset(A,B)=> ~ proper_subset(B,A) ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f7,axiom,(
% 24.52/3.77 (! [A,B] :( relation(B)=> ( B = identity_relation(A)<=> (! [C,D] :( in(ordered_pair(C,D),B)<=> ( in(C,A)& C = D ) ) )) ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f8,axiom,(
% 24.52/3.77 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f9,axiom,(
% 24.52/3.77 (! [A] :( relation(A)<=> (! [B] :~ ( in(B,A)& (! [C,D] : B != ordered_pair(C,D) )) )) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f10,axiom,(
% 24.52/3.77 (! [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 ) ) ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f12,axiom,(
% 24.52/3.77 (! [A] :( A = empty_set<=> (! [B] : ~ in(B,A) )) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f14,axiom,(
% 24.52/3.77 (! [A,B] :( ( ~ empty(A)=> ( element(B,A)<=> in(B,A) ) )& ( empty(A)=> ( element(B,A)<=> empty(B) ) ) ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f30,axiom,(
% 24.52/3.77 (! [A] :( relation(A)=> (! [B] :( relation(B)=> (! [C] :( relation(C)=> ( C = relation_composition(A,B)<=> (! [D,E] :( in(ordered_pair(D,E),C)<=> (? [F] :( in(ordered_pair(D,F),A)& in(ordered_pair(F,E),B) ) )) )) ) )) )) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f32,axiom,(
% 24.52/3.77 (! [A,B] :( proper_subset(A,B)<=> ( subset(A,B)& A != B ) ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f50,axiom,(
% 24.52/3.77 (! [A,B] :( ( relation(A)& relation(B) )=> relation(relation_composition(A,B)) ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f52,axiom,(
% 24.52/3.77 (! [A] : relation(identity_relation(A)) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f57,axiom,(
% 24.52/3.77 (! [A] :(? [B] : element(B,A) ))),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f58,axiom,(
% 24.52/3.77 (! [A,B] :( ( empty(A)& relation(B) )=> ( empty(relation_composition(B,A))& relation(relation_composition(B,A)) ) ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f60,axiom,(
% 24.52/3.77 empty(empty_set) ),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f67,axiom,(
% 24.52/3.77 ( empty(empty_set)& relation(empty_set) ) ),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f73,axiom,(
% 24.52/3.77 (! [A,B] :( ( empty(A)& relation(B) )=> ( empty(relation_composition(A,B))& relation(relation_composition(A,B)) ) ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f95,axiom,(
% 24.52/3.77 (? [A] :( ~ empty(A)& relation(A) ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f112,axiom,(
% 24.52/3.77 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f123,lemma,(
% 24.52/3.77 (! [A] : subset(empty_set,A) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f140,lemma,(
% 24.52/3.77 (! [A] :( relation(A)=> (! [B] :( relation(B)=> subset(relation_dom(relation_composition(A,B)),relation_dom(A)) ) )) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f141,lemma,(
% 24.52/3.77 (! [A] :( relation(A)=> (! [B] :( relation(B)=> subset(relation_rng(relation_composition(A,B)),relation_rng(B)) ) )) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f143,lemma,(
% 24.52/3.77 (! [A] :( relation(A)=> (! [B] :( relation(B)=> ( subset(relation_rng(A),relation_dom(B))=> relation_dom(relation_composition(A,B)) = relation_dom(A) ) ) )) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f146,lemma,(
% 24.52/3.77 (! [A] :( relation(A)=> (! [B] :( relation(B)=> ( subset(relation_dom(A),relation_rng(B))=> relation_rng(relation_composition(B,A)) = relation_rng(A) ) ) )) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f157,lemma,(
% 24.52/3.77 ( relation_dom(empty_set) = empty_set& relation_rng(empty_set) = empty_set ) ),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f164,axiom,(
% 24.52/3.77 (! [A] :( empty(A)=> A = empty_set ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f166,lemma,(
% 24.52/3.77 (! [A] :( relation_dom(identity_relation(A)) = A& relation_rng(identity_relation(A)) = A ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f167,conjecture,(
% 24.52/3.77 (! [A,B,C,D] :( relation(D)=> ( in(ordered_pair(A,B),relation_composition(identity_relation(C),D))<=> ( in(A,C)& in(ordered_pair(A,B),D) ) ) ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f168,negated_conjecture,(
% 24.52/3.77 ~((! [A,B,C,D] :( relation(D)=> ( in(ordered_pair(A,B),relation_composition(identity_relation(C),D))<=> ( in(A,C)& in(ordered_pair(A,B),D) ) ) ) ))),
% 24.52/3.77 inference(negated_conjecture,[status(cth)],[f167])).
% 24.52/3.77 fof(f169,axiom,(
% 24.52/3.77 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 24.52/3.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.52/3.77 fof(f179,plain,(
% 24.52/3.77 ![A,B]: (~in(A,B)|~in(B,A))),
% 24.52/3.77 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 24.52/3.77 fof(f180,plain,(
% 24.52/3.77 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f179])).
% 24.52/3.77 fof(f181,plain,(
% 24.52/3.77 ![A,B]: (~proper_subset(A,B)|~proper_subset(B,A))),
% 24.52/3.77 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 24.52/3.77 fof(f182,plain,(
% 24.52/3.77 ![X0,X1]: (~proper_subset(X0,X1)|~proper_subset(X1,X0))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f181])).
% 24.52/3.77 fof(f188,plain,(
% 24.52/3.77 ![A,B]: (~relation(B)|(B=identity_relation(A)<=>(![C,D]: (in(ordered_pair(C,D),B)<=>(in(C,A)&C=D)))))),
% 24.52/3.77 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 24.52/3.77 fof(f189,plain,(
% 24.52/3.77 ![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)))))))),
% 24.52/3.77 inference(NNF_transformation,[status(thm)],[f188])).
% 24.52/3.77 fof(f190,plain,(
% 24.52/3.77 ![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))))))))),
% 24.52/3.77 inference(miniscoping,[status(thm)],[f189])).
% 24.52/3.77 fof(f191,plain,(
% 24.52/3.77 ![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_skl(A,B),sK1_skl(A,B)),B)|(~in(sK0_skl(A,B),A)|~sK0_skl(A,B)=sK1_skl(A,B)))&(in(ordered_pair(sK0_skl(A,B),sK1_skl(A,B)),B)|(in(sK0_skl(A,B),A)&sK0_skl(A,B)=sK1_skl(A,B))))))))),
% 24.52/3.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(C,sK0_skl(A,B)),skolemize(D,sK1_skl(A,B))],[f190])).
% 24.52/3.77 fof(f192,plain,(
% 24.52/3.77 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|~in(ordered_pair(X2,X3),X0)|in(X2,X1))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f191])).
% 24.52/3.77 fof(f193,plain,(
% 24.52/3.77 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|~in(ordered_pair(X2,X3),X0)|X2=X3)),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f191])).
% 24.52/3.77 fof(f194,plain,(
% 24.52/3.77 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|in(ordered_pair(X2,X3),X0)|~in(X2,X1)|~X2=X3)),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f191])).
% 24.52/3.77 fof(f196,plain,(
% 24.52/3.77 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|in(ordered_pair(sK0_skl(X1,X0),sK1_skl(X1,X0)),X0)|in(sK0_skl(X1,X0),X1))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f191])).
% 24.52/3.77 fof(f197,plain,(
% 24.52/3.77 ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|in(ordered_pair(sK0_skl(X1,X0),sK1_skl(X1,X0)),X0)|sK0_skl(X1,X0)=sK1_skl(X1,X0))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f191])).
% 24.52/3.77 fof(f198,plain,(
% 24.52/3.77 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 24.52/3.77 inference(NNF_transformation,[status(thm)],[f8])).
% 24.52/3.77 fof(f199,plain,(
% 24.52/3.77 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 24.52/3.77 inference(miniscoping,[status(thm)],[f198])).
% 24.52/3.77 fof(f202,plain,(
% 24.52/3.77 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f199])).
% 24.52/3.77 fof(f203,plain,(
% 24.52/3.77 ![A]: (relation(A)<=>(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D)))))),
% 24.52/3.77 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 24.52/3.77 fof(f204,plain,(
% 24.52/3.77 ![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))))))),
% 24.52/3.77 inference(NNF_transformation,[status(thm)],[f203])).
% 24.52/3.77 fof(f205,plain,(
% 24.52/3.77 (![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))))))),
% 24.52/3.77 inference(miniscoping,[status(thm)],[f204])).
% 24.52/3.77 fof(f206,plain,(
% 24.52/3.77 (![A]: (~relation(A)|(![B]: (~in(B,A)|B=ordered_pair(sK2_skl(B,A),sK3_skl(B,A))))))&(![A]: (relation(A)|(in(sK4_skl(A),A)&(![C,D]: ~sK4_skl(A)=ordered_pair(C,D)))))),
% 24.52/3.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(C,sK2_skl(B,A)),skolemize(D,sK3_skl(B,A)),skolemize(B,sK4_skl(A))],[f205])).
% 24.52/3.77 fof(f207,plain,(
% 24.52/3.77 ![X0,X1]: (~relation(X0)|~in(X1,X0)|X1=ordered_pair(sK2_skl(X1,X0),sK3_skl(X1,X0)))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f206])).
% 24.52/3.77 fof(f210,plain,(
% 24.52/3.77 ![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)))),
% 24.52/3.77 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 24.52/3.77 fof(f211,plain,(
% 24.52/3.77 ![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))))),
% 24.52/3.77 inference(NNF_transformation,[status(thm)],[f210])).
% 24.52/3.77 fof(f212,plain,(
% 24.52/3.77 (![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)))))),
% 24.52/3.77 inference(miniscoping,[status(thm)],[f211])).
% 24.52/3.77 fof(f213,plain,(
% 24.52/3.77 (![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(sK5_skl(C,B,A),A)&~in(C,sK5_skl(C,B,A))))))))&(![B]: (B=set_meet(A)|((~in(sK6_skl(B,A),B)|(in(sK7_skl(B,A),A)&~in(sK6_skl(B,A),sK7_skl(B,A))))&(in(sK6_skl(B,A),B)|(![D]: (~in(D,A)|in(sK6_skl(B,A),D))))))))))&(![A]: (~A=empty_set|((![B]: (~B=set_meet(A)|B=empty_set))&(![B]: (B=set_meet(A)|~B=empty_set)))))),
% 24.52/3.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl,sK7_skl]),skolemize(D,sK5_skl(C,B,A)),skolemize(C,sK6_skl(B,A)),skolemize(D,sK7_skl(B,A))],[f212])).
% 24.52/3.77 fof(f214,plain,(
% 24.52/3.77 ![X0,X1,X2,X3]: (X0=empty_set|~X1=set_meet(X0)|~in(X2,X1)|~in(X3,X0)|in(X2,X3))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f213])).
% 24.52/3.77 fof(f215,plain,(
% 24.52/3.77 ![X0,X1,X2]: (X0=empty_set|~X1=set_meet(X0)|in(X2,X1)|in(sK5_skl(X2,X1,X0),X0))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f213])).
% 24.52/3.77 fof(f216,plain,(
% 24.52/3.77 ![X0,X1,X2]: (X0=empty_set|~X1=set_meet(X0)|in(X2,X1)|~in(X2,sK5_skl(X2,X1,X0)))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f213])).
% 24.52/3.77 fof(f217,plain,(
% 24.52/3.77 ![X0,X1]: (X0=empty_set|X1=set_meet(X0)|~in(sK6_skl(X1,X0),X1)|in(sK7_skl(X1,X0),X0))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f213])).
% 24.52/3.77 fof(f219,plain,(
% 24.52/3.77 ![X0,X1,X2]: (X0=empty_set|X1=set_meet(X0)|in(sK6_skl(X1,X0),X1)|~in(X2,X0)|in(sK6_skl(X1,X0),X2))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f213])).
% 24.52/3.77 fof(f229,plain,(
% 24.52/3.77 ![A]: ((~A=empty_set|(![B]: ~in(B,A)))&(A=empty_set|(?[B]: in(B,A))))),
% 24.52/3.77 inference(NNF_transformation,[status(thm)],[f12])).
% 24.52/3.77 fof(f230,plain,(
% 24.52/3.77 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|(?[B]: in(B,A))))),
% 24.52/3.77 inference(miniscoping,[status(thm)],[f229])).
% 24.52/3.77 fof(f231,plain,(
% 24.52/3.77 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|in(sK9_skl(A),A)))),
% 24.52/3.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(B,sK9_skl(A))],[f230])).
% 24.52/3.77 fof(f232,plain,(
% 24.52/3.77 ![X0,X1]: (~X0=empty_set|~in(X1,X0))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f231])).
% 24.52/3.77 fof(f233,plain,(
% 24.52/3.77 ![X0]: (X0=empty_set|in(sK9_skl(X0),X0))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f231])).
% 24.52/3.77 fof(f241,plain,(
% 24.52/3.77 ![A,B]: ((empty(A)|(element(B,A)<=>in(B,A)))&(~empty(A)|(element(B,A)<=>empty(B))))),
% 24.52/3.77 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 24.52/3.77 fof(f242,plain,(
% 24.52/3.77 ![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)))))),
% 24.52/3.77 inference(NNF_transformation,[status(thm)],[f241])).
% 24.52/3.77 fof(f243,plain,(
% 24.52/3.77 (![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))))))),
% 24.52/3.77 inference(miniscoping,[status(thm)],[f242])).
% 24.52/3.77 fof(f244,plain,(
% 24.52/3.77 ![X0,X1]: (empty(X0)|~element(X1,X0)|in(X1,X0))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f243])).
% 24.52/3.77 fof(f246,plain,(
% 24.52/3.77 ![X0,X1]: (~empty(X0)|~element(X1,X0)|empty(X1))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f243])).
% 24.52/3.77 fof(f247,plain,(
% 24.52/3.77 ![X0,X1]: (~empty(X0)|element(X1,X0)|~empty(X1))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f243])).
% 24.52/3.77 fof(f343,plain,(
% 24.52/3.77 ![A]: (~relation(A)|(![B]: (~relation(B)|(![C]: (~relation(C)|(C=relation_composition(A,B)<=>(![D,E]: (in(ordered_pair(D,E),C)<=>(?[F]: (in(ordered_pair(D,F),A)&in(ordered_pair(F,E),B)))))))))))),
% 24.52/3.77 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 24.52/3.77 fof(f344,plain,(
% 24.52/3.77 ![A]: (~relation(A)|(![B]: (~relation(B)|(![C]: (~relation(C)|((~C=relation_composition(A,B)|(![D,E]: ((~in(ordered_pair(D,E),C)|(?[F]: (in(ordered_pair(D,F),A)&in(ordered_pair(F,E),B))))&(in(ordered_pair(D,E),C)|(![F]: (~in(ordered_pair(D,F),A)|~in(ordered_pair(F,E),B)))))))&(C=relation_composition(A,B)|(?[D,E]: ((~in(ordered_pair(D,E),C)|(![F]: (~in(ordered_pair(D,F),A)|~in(ordered_pair(F,E),B))))&(in(ordered_pair(D,E),C)|(?[F]: (in(ordered_pair(D,F),A)&in(ordered_pair(F,E),B)))))))))))))),
% 24.52/3.77 inference(NNF_transformation,[status(thm)],[f343])).
% 24.52/3.77 fof(f345,plain,(
% 24.52/3.77 ![A]: (~relation(A)|(![B]: (~relation(B)|(![C]: (~relation(C)|((~C=relation_composition(A,B)|((![D,E]: (~in(ordered_pair(D,E),C)|(?[F]: (in(ordered_pair(D,F),A)&in(ordered_pair(F,E),B)))))&(![D,E]: (in(ordered_pair(D,E),C)|(![F]: (~in(ordered_pair(D,F),A)|~in(ordered_pair(F,E),B)))))))&(C=relation_composition(A,B)|(?[D,E]: ((~in(ordered_pair(D,E),C)|(![F]: (~in(ordered_pair(D,F),A)|~in(ordered_pair(F,E),B))))&(in(ordered_pair(D,E),C)|(?[F]: (in(ordered_pair(D,F),A)&in(ordered_pair(F,E),B)))))))))))))),
% 24.52/3.77 inference(miniscoping,[status(thm)],[f344])).
% 24.52/3.77 fof(f346,plain,(
% 24.52/3.77 ![A]: (~relation(A)|(![B]: (~relation(B)|(![C]: (~relation(C)|((~C=relation_composition(A,B)|((![D,E]: (~in(ordered_pair(D,E),C)|(in(ordered_pair(D,sK32_skl(E,D,C,B,A)),A)&in(ordered_pair(sK32_skl(E,D,C,B,A),E),B))))&(![D,E]: (in(ordered_pair(D,E),C)|(![F]: (~in(ordered_pair(D,F),A)|~in(ordered_pair(F,E),B)))))))&(C=relation_composition(A,B)|((~in(ordered_pair(sK33_skl(C,B,A),sK34_skl(C,B,A)),C)|(![F]: (~in(ordered_pair(sK33_skl(C,B,A),F),A)|~in(ordered_pair(F,sK34_skl(C,B,A)),B))))&(in(ordered_pair(sK33_skl(C,B,A),sK34_skl(C,B,A)),C)|(in(ordered_pair(sK33_skl(C,B,A),sK35_skl(C,B,A)),A)&in(ordered_pair(sK35_skl(C,B,A),sK34_skl(C,B,A)),B)))))))))))),
% 24.52/3.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK32_skl,sK33_skl,sK34_skl,sK35_skl]),skolemize(F,sK32_skl(E,D,C,B,A)),skolemize(D,sK33_skl(C,B,A)),skolemize(E,sK34_skl(C,B,A)),skolemize(F,sK35_skl(C,B,A))],[f345])).
% 24.52/3.77 fof(f347,plain,(
% 24.52/3.77 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|~relation(X2)|~X2=relation_composition(X0,X1)|~in(ordered_pair(X3,X4),X2)|in(ordered_pair(X3,sK32_skl(X4,X3,X2,X1,X0)),X0))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f346])).
% 24.52/3.77 fof(f348,plain,(
% 24.52/3.77 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|~relation(X2)|~X2=relation_composition(X0,X1)|~in(ordered_pair(X3,X4),X2)|in(ordered_pair(sK32_skl(X4,X3,X2,X1,X0),X4),X1))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f346])).
% 24.52/3.77 fof(f349,plain,(
% 24.52/3.77 ![X0,X1,X2,X3,X4,X5]: (~relation(X0)|~relation(X1)|~relation(X2)|~X2=relation_composition(X0,X1)|in(ordered_pair(X3,X4),X2)|~in(ordered_pair(X3,X5),X0)|~in(ordered_pair(X5,X4),X1))),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f346])).
% 24.52/3.77 fof(f361,plain,(
% 24.52/3.77 ![A,B]: ((~proper_subset(A,B)|(subset(A,B)&~A=B))&(proper_subset(A,B)|(~subset(A,B)|A=B)))),
% 24.52/3.77 inference(NNF_transformation,[status(thm)],[f32])).
% 24.52/3.77 fof(f362,plain,(
% 24.52/3.77 (![A,B]: (~proper_subset(A,B)|(subset(A,B)&~A=B)))&(![A,B]: (proper_subset(A,B)|(~subset(A,B)|A=B)))),
% 24.52/3.77 inference(miniscoping,[status(thm)],[f361])).
% 24.52/3.77 fof(f365,plain,(
% 24.52/3.77 ![X0,X1]: (proper_subset(X0,X1)|~subset(X0,X1)|X0=X1)),
% 24.52/3.77 inference(cnf_transformation,[status(thm)],[f362])).
% 24.52/3.77 fof(f371,plain,(
% 24.52/3.77 ![A,B]: ((~relation(A)|~relation(B))|relation(relation_composition(A,B)))),
% 24.52/3.77 inference(pre_NNF_transformation,[status(thm)],[f50])).
% 26.40/3.77 fof(f372,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(X0)|~relation(X1)|relation(relation_composition(X0,X1)))),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f371])).
% 26.40/3.77 fof(f375,plain,(
% 26.40/3.77 ![X0]: (relation(identity_relation(X0)))),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f52])).
% 26.40/3.77 fof(f382,plain,(
% 26.40/3.77 ![A]: element(sK37_skl(A),A)),
% 26.40/3.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK37_skl]),skolemize(B,sK37_skl(A))],[f57])).
% 26.40/3.77 fof(f383,plain,(
% 26.40/3.77 ![X0]: (element(sK37_skl(X0),X0))),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f382])).
% 26.40/3.77 fof(f384,plain,(
% 26.40/3.77 ![A,B]: ((~empty(A)|~relation(B))|(empty(relation_composition(B,A))&relation(relation_composition(B,A))))),
% 26.40/3.77 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 26.40/3.77 fof(f385,plain,(
% 26.40/3.77 ![X0,X1]: (~empty(X0)|~relation(X1)|empty(relation_composition(X1,X0)))),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f384])).
% 26.40/3.77 fof(f388,plain,(
% 26.40/3.77 empty(empty_set)),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f60])).
% 26.40/3.77 fof(f401,plain,(
% 26.40/3.77 relation(empty_set)),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f67])).
% 26.40/3.77 fof(f414,plain,(
% 26.40/3.77 ![A,B]: ((~empty(A)|~relation(B))|(empty(relation_composition(A,B))&relation(relation_composition(A,B))))),
% 26.40/3.77 inference(pre_NNF_transformation,[status(thm)],[f73])).
% 26.40/3.77 fof(f415,plain,(
% 26.40/3.77 ![X0,X1]: (~empty(X0)|~relation(X1)|empty(relation_composition(X0,X1)))),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f414])).
% 26.40/3.77 fof(f416,plain,(
% 26.40/3.77 ![X0,X1]: (~empty(X0)|~relation(X1)|relation(relation_composition(X0,X1)))),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f414])).
% 26.40/3.77 fof(f474,plain,(
% 26.40/3.77 (~empty(sK42_skl)&relation(sK42_skl))),
% 26.40/3.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK42_skl]),skolemize(A,sK42_skl)],[f95])).
% 26.40/3.77 fof(f476,plain,(
% 26.40/3.77 relation(sK42_skl)),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f474])).
% 26.40/3.77 fof(f519,plain,(
% 26.40/3.77 ![A,B]: (~in(A,B)|element(A,B))),
% 26.40/3.77 inference(pre_NNF_transformation,[status(thm)],[f112])).
% 26.40/3.77 fof(f520,plain,(
% 26.40/3.77 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f519])).
% 26.40/3.77 fof(f547,plain,(
% 26.40/3.77 ![X0]: (subset(empty_set,X0))),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f123])).
% 26.40/3.77 fof(f599,plain,(
% 26.40/3.77 ![A]: (~relation(A)|(![B]: (~relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)))))),
% 26.40/3.77 inference(pre_NNF_transformation,[status(thm)],[f140])).
% 26.40/3.77 fof(f600,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(X0)|~relation(X1)|subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)))),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f599])).
% 26.40/3.77 fof(f601,plain,(
% 26.40/3.77 ![A]: (~relation(A)|(![B]: (~relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)))))),
% 26.40/3.77 inference(pre_NNF_transformation,[status(thm)],[f141])).
% 26.40/3.77 fof(f602,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(X0)|~relation(X1)|subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)))),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f601])).
% 26.40/3.77 fof(f605,plain,(
% 26.40/3.77 ![A]: (~relation(A)|(![B]: (~relation(B)|(~subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A)))))),
% 26.40/3.77 inference(pre_NNF_transformation,[status(thm)],[f143])).
% 26.40/3.77 fof(f606,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(X0)|~relation(X1)|~subset(relation_rng(X0),relation_dom(X1))|relation_dom(relation_composition(X0,X1))=relation_dom(X0))),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f605])).
% 26.40/3.77 fof(f611,plain,(
% 26.40/3.77 ![A]: (~relation(A)|(![B]: (~relation(B)|(~subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A)))))),
% 26.40/3.77 inference(pre_NNF_transformation,[status(thm)],[f146])).
% 26.40/3.77 fof(f612,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(X0)|~relation(X1)|~subset(relation_dom(X0),relation_rng(X1))|relation_rng(relation_composition(X1,X0))=relation_rng(X0))),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f611])).
% 26.40/3.77 fof(f638,plain,(
% 26.40/3.77 relation_dom(empty_set)=empty_set),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f157])).
% 26.40/3.77 fof(f639,plain,(
% 26.40/3.77 relation_rng(empty_set)=empty_set),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f157])).
% 26.40/3.77 fof(f657,plain,(
% 26.40/3.77 ![A]: (~empty(A)|A=empty_set)),
% 26.40/3.77 inference(pre_NNF_transformation,[status(thm)],[f164])).
% 26.40/3.77 fof(f658,plain,(
% 26.40/3.77 ![X0]: (~empty(X0)|X0=empty_set)),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f657])).
% 26.40/3.77 fof(f661,plain,(
% 26.40/3.77 (![A]: relation_dom(identity_relation(A))=A)&(![A]: relation_rng(identity_relation(A))=A)),
% 26.40/3.77 inference(miniscoping,[status(thm)],[f166])).
% 26.40/3.77 fof(f662,plain,(
% 26.40/3.77 ![X0]: (relation_dom(identity_relation(X0))=X0)),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f661])).
% 26.40/3.77 fof(f663,plain,(
% 26.40/3.77 ![X0]: (relation_rng(identity_relation(X0))=X0)),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f661])).
% 26.40/3.77 fof(f664,plain,(
% 26.40/3.77 (?[A,B,C,D]: (relation(D)&(in(ordered_pair(A,B),relation_composition(identity_relation(C),D))<~>(in(A,C)&in(ordered_pair(A,B),D)))))),
% 26.40/3.77 inference(pre_NNF_transformation,[status(thm)],[f168])).
% 26.40/3.77 fof(f665,plain,(
% 26.40/3.77 ?[A,B,C,D]: (relation(D)&((in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|(in(A,C)&in(ordered_pair(A,B),D)))&(~in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|(~in(A,C)|~in(ordered_pair(A,B),D)))))),
% 26.40/3.77 inference(NNF_transformation,[status(thm)],[f664])).
% 26.40/3.77 fof(f666,plain,(
% 26.40/3.77 ?[D]: (relation(D)&(?[A,B,C]: ((in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|(in(A,C)&in(ordered_pair(A,B),D)))&(~in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|(~in(A,C)|~in(ordered_pair(A,B),D))))))),
% 26.40/3.77 inference(miniscoping,[status(thm)],[f665])).
% 26.40/3.77 fof(f667,plain,(
% 26.40/3.77 (relation(sK51_skl)&((in(ordered_pair(sK52_skl,sK53_skl),relation_composition(identity_relation(sK54_skl),sK51_skl))|(in(sK52_skl,sK54_skl)&in(ordered_pair(sK52_skl,sK53_skl),sK51_skl)))&(~in(ordered_pair(sK52_skl,sK53_skl),relation_composition(identity_relation(sK54_skl),sK51_skl))|(~in(sK52_skl,sK54_skl)|~in(ordered_pair(sK52_skl,sK53_skl),sK51_skl)))))),
% 26.40/3.77 inference(skolemize,[status(esa),new_symbols(skolem,[sK51_skl,sK52_skl,sK53_skl,sK54_skl]),skolemize(D,sK51_skl),skolemize(A,sK52_skl),skolemize(B,sK53_skl),skolemize(C,sK54_skl)],[f666])).
% 26.40/3.77 fof(f668,plain,(
% 26.40/3.77 relation(sK51_skl)),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f667])).
% 26.40/3.77 fof(f669,plain,(
% 26.40/3.77 in(ordered_pair(sK52_skl,sK53_skl),relation_composition(identity_relation(sK54_skl),sK51_skl))|in(sK52_skl,sK54_skl)),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f667])).
% 26.40/3.77 fof(f670,plain,(
% 26.40/3.77 in(ordered_pair(sK52_skl,sK53_skl),relation_composition(identity_relation(sK54_skl),sK51_skl))|in(ordered_pair(sK52_skl,sK53_skl),sK51_skl)),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f667])).
% 26.40/3.77 fof(f671,plain,(
% 26.40/3.77 ~in(ordered_pair(sK52_skl,sK53_skl),relation_composition(identity_relation(sK54_skl),sK51_skl))|~in(sK52_skl,sK54_skl)|~in(ordered_pair(sK52_skl,sK53_skl),sK51_skl)),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f667])).
% 26.40/3.77 fof(f672,plain,(
% 26.40/3.77 ![A,B]: (~in(A,B)|~empty(B))),
% 26.40/3.77 inference(pre_NNF_transformation,[status(thm)],[f169])).
% 26.40/3.77 fof(f673,plain,(
% 26.40/3.77 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 26.40/3.77 inference(miniscoping,[status(thm)],[f672])).
% 26.40/3.77 fof(f674,plain,(
% 26.40/3.77 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 26.40/3.77 inference(cnf_transformation,[status(thm)],[f673])).
% 26.40/3.77 fof(f708,definition,(
% 26.40/3.77 sQ0_spl <=> (in(ordered_pair(sK52_skl,sK53_skl),relation_composition(identity_relation(sK54_skl),sK51_skl)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f709,plain,(
% 26.40/3.77 in(ordered_pair(sK52_skl,sK53_skl),relation_composition(identity_relation(sK54_skl),sK51_skl))|~sQ0_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f708])).
% 26.40/3.77 fof(f710,plain,(
% 26.40/3.77 ~in(ordered_pair(sK52_skl,sK53_skl),relation_composition(identity_relation(sK54_skl),sK51_skl))|sQ0_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f708])).
% 26.40/3.77 fof(f711,definition,(
% 26.40/3.77 sQ1_spl <=> (in(sK52_skl,sK54_skl))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f712,plain,(
% 26.40/3.77 in(sK52_skl,sK54_skl)|~sQ1_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f711])).
% 26.40/3.77 fof(f713,plain,(
% 26.40/3.77 ~in(sK52_skl,sK54_skl)|sQ1_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f711])).
% 26.40/3.77 fof(f714,plain,(
% 26.40/3.77 sQ0_spl|sQ1_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f669,f708,f711])).
% 26.40/3.77 fof(f715,definition,(
% 26.40/3.77 sQ2_spl <=> (in(ordered_pair(sK52_skl,sK53_skl),sK51_skl))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f716,plain,(
% 26.40/3.77 in(ordered_pair(sK52_skl,sK53_skl),sK51_skl)|~sQ2_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f715])).
% 26.40/3.77 fof(f718,plain,(
% 26.40/3.77 sQ0_spl|sQ2_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f670,f708,f715])).
% 26.40/3.77 fof(f719,plain,(
% 26.40/3.77 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f671,f708,f711,f715])).
% 26.40/3.77 fof(f720,plain,(
% 26.40/3.77 ![X0,X1,X2]: (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),identity_relation(X0))|in(X1,X0))),
% 26.40/3.77 inference(destructive_equality_resolution,[status(thm)],[f192])).
% 26.40/3.77 fof(f721,plain,(
% 26.40/3.77 ![X0,X1,X2]: (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),identity_relation(X0))|X1=X2)),
% 26.40/3.77 inference(destructive_equality_resolution,[status(thm)],[f193])).
% 26.40/3.77 fof(f722,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(identity_relation(X0))|in(ordered_pair(X1,X1),identity_relation(X0))|~in(X1,X0))),
% 26.40/3.77 inference(destructive_equality_resolution,[status(thm)],[f194])).
% 26.40/3.77 fof(f725,plain,(
% 26.40/3.77 ![X0,X1,X2]: (X0=empty_set|~in(X1,set_meet(X0))|~in(X2,X0)|in(X1,X2))),
% 26.40/3.77 inference(destructive_equality_resolution,[status(thm)],[f214])).
% 26.40/3.77 fof(f726,plain,(
% 26.40/3.77 ![X0,X1]: (X0=empty_set|in(X1,set_meet(X0))|in(sK5_skl(X1,set_meet(X0),X0),X0))),
% 26.40/3.77 inference(destructive_equality_resolution,[status(thm)],[f215])).
% 26.40/3.77 fof(f727,plain,(
% 26.40/3.77 ![X0,X1]: (X0=empty_set|in(X1,set_meet(X0))|~in(X1,sK5_skl(X1,set_meet(X0),X0)))),
% 26.40/3.77 inference(destructive_equality_resolution,[status(thm)],[f216])).
% 26.40/3.77 fof(f732,plain,(
% 26.40/3.77 ![X0]: (~in(X0,empty_set))),
% 26.40/3.77 inference(destructive_equality_resolution,[status(thm)],[f232])).
% 26.40/3.77 fof(f758,plain,(
% 26.40/3.77 ![X0,X1,X2,X3]: (~relation(X0)|~relation(X1)|~relation(relation_composition(X0,X1))|~in(ordered_pair(X2,X3),relation_composition(X0,X1))|in(ordered_pair(X2,sK32_skl(X3,X2,relation_composition(X0,X1),X1,X0)),X0))),
% 26.40/3.77 inference(destructive_equality_resolution,[status(thm)],[f347])).
% 26.40/3.77 fof(f759,plain,(
% 26.40/3.77 ![X0,X1,X2,X3]: (~relation(X0)|~relation(X1)|~relation(relation_composition(X0,X1))|~in(ordered_pair(X2,X3),relation_composition(X0,X1))|in(ordered_pair(sK32_skl(X3,X2,relation_composition(X0,X1),X1,X0),X3),X1))),
% 26.40/3.77 inference(destructive_equality_resolution,[status(thm)],[f348])).
% 26.40/3.77 fof(f760,plain,(
% 26.40/3.77 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|~relation(relation_composition(X0,X1))|in(ordered_pair(X2,X3),relation_composition(X0,X1))|~in(ordered_pair(X2,X4),X0)|~in(ordered_pair(X4,X3),X1))),
% 26.40/3.77 inference(destructive_equality_resolution,[status(thm)],[f349])).
% 26.40/3.77 fof(f767,plain,(
% 26.40/3.77 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|in(ordered_pair(X2,X3),relation_composition(X0,X1))|~in(ordered_pair(X2,X4),X0)|~in(ordered_pair(X4,X3),X1))),
% 26.40/3.77 inference(backward_subsumption_resolution,[status(thm)],[f760,f372])).
% 26.40/3.77 fof(f768,plain,(
% 26.40/3.77 ![X0,X1,X2,X3]: (~relation(X0)|~relation(X1)|~in(ordered_pair(X2,X3),relation_composition(X0,X1))|in(ordered_pair(sK32_skl(X3,X2,relation_composition(X0,X1),X1,X0),X3),X1))),
% 26.40/3.77 inference(backward_subsumption_resolution,[status(thm)],[f759,f372])).
% 26.40/3.77 fof(f769,plain,(
% 26.40/3.77 ![X0,X1,X2,X3]: (~relation(X0)|~relation(X1)|~in(ordered_pair(X2,X3),relation_composition(X0,X1))|in(ordered_pair(X2,sK32_skl(X3,X2,relation_composition(X0,X1),X1,X0)),X0))),
% 26.40/3.77 inference(backward_subsumption_resolution,[status(thm)],[f758,f372])).
% 26.40/3.77 fof(f770,plain,(
% 26.40/3.77 ![X0,X1]: (in(ordered_pair(X0,X0),identity_relation(X1))|~in(X0,X1))),
% 26.40/3.77 inference(backward_subsumption_resolution,[status(thm)],[f722,f375])).
% 26.40/3.77 fof(f771,plain,(
% 26.40/3.77 ![X0,X1,X2]: (~in(ordered_pair(X0,X1),identity_relation(X2))|X0=X1)),
% 26.40/3.77 inference(backward_subsumption_resolution,[status(thm)],[f721,f375])).
% 26.40/3.77 fof(f772,plain,(
% 26.40/3.77 ![X0,X1,X2]: (~in(ordered_pair(X0,X1),identity_relation(X2))|in(X0,X2))),
% 26.40/3.77 inference(backward_subsumption_resolution,[status(thm)],[f720,f375])).
% 26.40/3.77 fof(f799,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(identity_relation(X0))|~relation(X1)|subset(relation_dom(relation_composition(identity_relation(X0),X1)),X0))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f662,f600])).
% 26.40/3.77 fof(f800,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(X0)|subset(relation_dom(relation_composition(identity_relation(X1),X0)),X1))),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f799,f375])).
% 26.40/3.77 fof(f801,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(X0)|~relation(identity_relation(X1))|subset(relation_rng(relation_composition(X0,identity_relation(X1))),X1))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f663,f602])).
% 26.40/3.77 fof(f802,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(X0)|subset(relation_rng(relation_composition(X0,identity_relation(X1))),X1))),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f801,f375])).
% 26.40/3.77 fof(f804,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(identity_relation(X0))|~relation(X1)|~subset(X0,relation_dom(X1))|relation_dom(relation_composition(identity_relation(X0),X1))=relation_dom(identity_relation(X0)))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f663,f606])).
% 26.40/3.77 fof(f805,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(X0)|~relation(identity_relation(X1))|~subset(relation_rng(X0),X1)|relation_dom(relation_composition(X0,identity_relation(X1)))=relation_dom(X0))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f662,f606])).
% 26.40/3.77 fof(f806,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(identity_relation(X0))|~relation(X1)|~subset(X0,relation_dom(X1))|relation_dom(relation_composition(identity_relation(X0),X1))=X0)),
% 26.40/3.77 inference(forward_demodulation,[status(thm)],[f662,f804])).
% 26.40/3.77 fof(f807,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(X0)|~subset(X1,relation_dom(X0))|relation_dom(relation_composition(identity_relation(X1),X0))=X1)),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f806,f375])).
% 26.40/3.77 fof(f808,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(X0)|~subset(relation_rng(X0),X1)|relation_dom(relation_composition(X0,identity_relation(X1)))=relation_dom(X0))),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f805,f375])).
% 26.40/3.77 fof(f813,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(identity_relation(X0))|~subset(X1,X0)|relation_dom(relation_composition(identity_relation(X1),identity_relation(X0)))=X1)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f662,f807])).
% 26.40/3.77 fof(f815,plain,(
% 26.40/3.77 ![X0,X1]: (~subset(X0,X1)|relation_dom(relation_composition(identity_relation(X0),identity_relation(X1)))=X0)),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f813,f375])).
% 26.40/3.77 fof(f822,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(identity_relation(X0))|~relation(X1)|~subset(X0,relation_rng(X1))|relation_rng(relation_composition(X1,identity_relation(X0)))=relation_rng(identity_relation(X0)))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f662,f612])).
% 26.40/3.77 fof(f823,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(X0)|~relation(identity_relation(X1))|~subset(relation_dom(X0),X1)|relation_rng(relation_composition(identity_relation(X1),X0))=relation_rng(X0))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f663,f612])).
% 26.40/3.77 fof(f824,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(identity_relation(X0))|~relation(X1)|~subset(X0,relation_rng(X1))|relation_rng(relation_composition(X1,identity_relation(X0)))=X0)),
% 26.40/3.77 inference(forward_demodulation,[status(thm)],[f663,f822])).
% 26.40/3.77 fof(f825,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(X0)|~subset(X1,relation_rng(X0))|relation_rng(relation_composition(X0,identity_relation(X1)))=X1)),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f824,f375])).
% 26.40/3.77 fof(f826,plain,(
% 26.40/3.77 ![X0,X1]: (~relation(X0)|~subset(relation_dom(X0),X1)|relation_rng(relation_composition(identity_relation(X1),X0))=relation_rng(X0))),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f823,f375])).
% 26.40/3.77 fof(f827,plain,(
% 26.40/3.77 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|~in(ordered_pair(X2,X3),X0)|~in(ordered_pair(X3,X4),X1)|in(ordered_pair(ordered_pair(X2,X4),ordered_pair(X2,X4)),identity_relation(relation_composition(X0,X1))))),
% 26.40/3.77 inference(resolution,[status(thm)],[f767,f770])).
% 26.40/3.77 fof(f828,plain,(
% 26.40/3.77 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|~in(ordered_pair(X2,X3),X0)|~in(ordered_pair(X3,X4),X1)|~in(relation_composition(X0,X1),ordered_pair(X2,X4)))),
% 26.40/3.77 inference(resolution,[status(thm)],[f767,f180])).
% 26.40/3.77 fof(f829,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|relation_dom(relation_composition(identity_relation(empty_set),X0))=empty_set)),
% 26.40/3.77 inference(resolution,[status(thm)],[f547,f807])).
% 26.40/3.77 fof(f830,plain,(
% 26.40/3.77 ![X0]: (relation_dom(relation_composition(identity_relation(empty_set),identity_relation(X0)))=empty_set)),
% 26.40/3.77 inference(resolution,[status(thm)],[f547,f815])).
% 26.40/3.77 fof(f867,plain,(
% 26.40/3.77 ![X0]: (~relation(identity_relation(X0))|subset(empty_set,empty_set))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f830,f800])).
% 26.40/3.77 fof(f868,plain,(
% 26.40/3.77 ![X0]: (~relation(identity_relation(empty_set))|~relation(identity_relation(X0))|subset(empty_set,relation_dom(identity_relation(empty_set))))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f830,f600])).
% 26.40/3.77 fof(f873,definition,(
% 26.40/3.77 ![X0]: (sQ3_spl <=> (~relation(identity_relation(X0))))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f874,plain,(
% 26.40/3.77 ![X0]: (~relation(identity_relation(X0))|~sQ3_spl)),
% 26.40/3.77 inference(component_clause,[status(thm)],[f873])).
% 26.40/3.77 fof(f876,definition,(
% 26.40/3.77 sQ4_spl <=> (subset(empty_set,empty_set))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f879,plain,(
% 26.40/3.77 sQ3_spl|sQ4_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f867,f873,f876])).
% 26.40/3.77 fof(f880,definition,(
% 26.40/3.77 sQ5_spl <=> (relation(identity_relation(empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f882,plain,(
% 26.40/3.77 ~relation(identity_relation(empty_set))|sQ5_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f880])).
% 26.40/3.77 fof(f883,definition,(
% 26.40/3.77 sQ6_spl <=> (subset(empty_set,relation_dom(identity_relation(empty_set))))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f886,plain,(
% 26.40/3.77 ~sQ5_spl|sQ3_spl|sQ6_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f868,f880,f873,f883])).
% 26.40/3.77 fof(f888,plain,(
% 26.40/3.77 $false|~sQ3_spl),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f874,f375])).
% 26.40/3.77 fof(f889,plain,(
% 26.40/3.77 ~sQ3_spl),
% 26.40/3.77 inference(contradiction_clause,[status(thm)],[f888])).
% 26.40/3.77 fof(f890,plain,(
% 26.40/3.77 $false|sQ5_spl),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f882,f375])).
% 26.40/3.77 fof(f891,plain,(
% 26.40/3.77 sQ5_spl),
% 26.40/3.77 inference(contradiction_clause,[status(thm)],[f890])).
% 26.40/3.77 fof(f893,plain,(
% 26.40/3.77 relation_dom(relation_composition(identity_relation(empty_set),sK42_skl))=empty_set),
% 26.40/3.77 inference(resolution,[status(thm)],[f829,f476])).
% 26.40/3.77 fof(f895,plain,(
% 26.40/3.77 relation_dom(relation_composition(identity_relation(empty_set),empty_set))=empty_set),
% 26.40/3.77 inference(resolution,[status(thm)],[f829,f401])).
% 26.40/3.77 fof(f900,plain,(
% 26.40/3.77 relation_dom(relation_composition(identity_relation(empty_set),sK51_skl))=empty_set),
% 26.40/3.77 inference(resolution,[status(thm)],[f829,f668])).
% 26.40/3.77 fof(f904,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(identity_relation(empty_set),sK42_skl))|~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),sK42_skl)))=relation_rng(relation_composition(identity_relation(empty_set),sK42_skl)))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f893,f612])).
% 26.40/3.77 fof(f905,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(identity_relation(empty_set),sK42_skl))|~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),relation_composition(identity_relation(empty_set),sK42_skl)))=X0)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f893,f807])).
% 26.40/3.77 fof(f906,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~relation(relation_composition(identity_relation(empty_set),sK42_skl))|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(identity_relation(empty_set),sK42_skl)))=relation_dom(X0))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f893,f606])).
% 26.40/3.77 fof(f907,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(identity_relation(empty_set),sK42_skl))|~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(empty_set),sK42_skl),X0)),empty_set))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f893,f600])).
% 26.40/3.77 fof(f908,definition,(
% 26.40/3.77 sQ7_spl <=> (relation(sK42_skl))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f910,plain,(
% 26.40/3.77 ~relation(sK42_skl)|sQ7_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f908])).
% 26.40/3.77 fof(f913,definition,(
% 26.40/3.77 sQ8_spl <=> (relation(relation_composition(identity_relation(empty_set),sK42_skl)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f915,plain,(
% 26.40/3.77 ~relation(relation_composition(identity_relation(empty_set),sK42_skl))|sQ8_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f913])).
% 26.40/3.77 fof(f916,definition,(
% 26.40/3.77 ![X0]: (sQ9_spl <=> (~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),sK42_skl)))=relation_rng(relation_composition(identity_relation(empty_set),sK42_skl))))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f919,plain,(
% 26.40/3.77 ~sQ8_spl|sQ9_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f904,f913,f916])).
% 26.40/3.77 fof(f920,definition,(
% 26.40/3.77 ![X0]: (sQ10_spl <=> (~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),relation_composition(identity_relation(empty_set),sK42_skl)))=X0))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f923,plain,(
% 26.40/3.77 ~sQ8_spl|sQ10_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f905,f913,f920])).
% 26.40/3.77 fof(f924,definition,(
% 26.40/3.77 ![X0]: (sQ11_spl <=> (~relation(X0)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(identity_relation(empty_set),sK42_skl)))=relation_dom(X0)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f927,plain,(
% 26.40/3.77 sQ11_spl|~sQ8_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f906,f924,f913])).
% 26.40/3.77 fof(f928,definition,(
% 26.40/3.77 ![X0]: (sQ12_spl <=> (~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(empty_set),sK42_skl),X0)),empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f931,plain,(
% 26.40/3.77 ~sQ8_spl|sQ12_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f907,f913,f928])).
% 26.40/3.77 fof(f934,plain,(
% 26.40/3.77 ~relation(identity_relation(empty_set))|~relation(sK42_skl)|sQ8_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f915,f372])).
% 26.40/3.77 fof(f944,plain,(
% 26.40/3.77 ~sQ5_spl|~sQ7_spl|sQ8_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f934,f880,f908,f913])).
% 26.40/3.77 fof(f945,plain,(
% 26.40/3.77 $false|sQ7_spl),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f910,f476])).
% 26.40/3.77 fof(f946,plain,(
% 26.40/3.77 sQ7_spl),
% 26.40/3.77 inference(contradiction_clause,[status(thm)],[f945])).
% 26.40/3.77 fof(f948,plain,(
% 26.40/3.77 ~relation(identity_relation(sK54_skl))|~relation(sK51_skl)|in(ordered_pair(sK32_skl(sK53_skl,sK52_skl,relation_composition(identity_relation(sK54_skl),sK51_skl),sK51_skl,identity_relation(sK54_skl)),sK53_skl),sK51_skl)|~sQ0_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f768,f709])).
% 26.40/3.77 fof(f949,plain,(
% 26.40/3.77 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|in(ordered_pair(sK32_skl(X2,X3,relation_composition(X0,X1),X1,X0),X2),X1)|~relation(X0)|~relation(X1)|~in(ordered_pair(X3,X4),X0)|~in(ordered_pair(X4,X2),X1))),
% 26.40/3.77 inference(resolution,[status(thm)],[f768,f767])).
% 26.40/3.77 fof(f950,definition,(
% 26.40/3.77 sQ15_spl <=> (relation(identity_relation(sK54_skl)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f952,plain,(
% 26.40/3.77 ~relation(identity_relation(sK54_skl))|sQ15_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f950])).
% 26.40/3.77 fof(f953,definition,(
% 26.40/3.77 sQ16_spl <=> (relation(sK51_skl))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f955,plain,(
% 26.40/3.77 ~relation(sK51_skl)|sQ16_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f953])).
% 26.40/3.77 fof(f956,definition,(
% 26.40/3.77 sQ17_spl <=> (in(ordered_pair(sK32_skl(sK53_skl,sK52_skl,relation_composition(identity_relation(sK54_skl),sK51_skl),sK51_skl,identity_relation(sK54_skl)),sK53_skl),sK51_skl))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f957,plain,(
% 26.40/3.77 in(ordered_pair(sK32_skl(sK53_skl,sK52_skl,relation_composition(identity_relation(sK54_skl),sK51_skl),sK51_skl,identity_relation(sK54_skl)),sK53_skl),sK51_skl)|~sQ17_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f956])).
% 26.40/3.77 fof(f959,plain,(
% 26.40/3.77 ~sQ15_spl|~sQ16_spl|sQ17_spl|~sQ0_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f948,f950,f953,f956,f708])).
% 26.40/3.77 fof(f960,plain,(
% 26.40/3.77 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|in(ordered_pair(sK32_skl(X2,X3,relation_composition(X0,X1),X1,X0),X2),X1)|~in(ordered_pair(X3,X4),X0)|~in(ordered_pair(X4,X2),X1))),
% 26.40/3.77 inference(duplicate_literals_removal,[status(thm)],[f949])).
% 26.40/3.77 fof(f961,plain,(
% 26.40/3.77 ~relation(identity_relation(sK54_skl))|~relation(sK51_skl)|in(ordered_pair(sK52_skl,sK32_skl(sK53_skl,sK52_skl,relation_composition(identity_relation(sK54_skl),sK51_skl),sK51_skl,identity_relation(sK54_skl))),identity_relation(sK54_skl))|~sQ0_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f769,f709])).
% 26.40/3.77 fof(f962,plain,(
% 26.40/3.77 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|in(ordered_pair(X2,sK32_skl(X3,X2,relation_composition(X0,X1),X1,X0)),X0)|~relation(X0)|~relation(X1)|~in(ordered_pair(X2,X4),X0)|~in(ordered_pair(X4,X3),X1))),
% 26.40/3.77 inference(resolution,[status(thm)],[f769,f767])).
% 26.40/3.77 fof(f963,definition,(
% 26.40/3.77 sQ18_spl <=> (in(ordered_pair(sK52_skl,sK32_skl(sK53_skl,sK52_skl,relation_composition(identity_relation(sK54_skl),sK51_skl),sK51_skl,identity_relation(sK54_skl))),identity_relation(sK54_skl)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f964,plain,(
% 26.40/3.77 in(ordered_pair(sK52_skl,sK32_skl(sK53_skl,sK52_skl,relation_composition(identity_relation(sK54_skl),sK51_skl),sK51_skl,identity_relation(sK54_skl))),identity_relation(sK54_skl))|~sQ18_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f963])).
% 26.40/3.77 fof(f966,plain,(
% 26.40/3.77 ~sQ15_spl|~sQ16_spl|sQ18_spl|~sQ0_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f961,f950,f953,f963,f708])).
% 26.40/3.77 fof(f967,plain,(
% 26.40/3.77 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|in(ordered_pair(X2,sK32_skl(X3,X2,relation_composition(X0,X1),X1,X0)),X0)|~in(ordered_pair(X2,X4),X0)|~in(ordered_pair(X4,X3),X1))),
% 26.40/3.77 inference(duplicate_literals_removal,[status(thm)],[f962])).
% 26.40/3.77 fof(f968,plain,(
% 26.40/3.77 $false|sQ16_spl),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f955,f668])).
% 26.40/3.77 fof(f969,plain,(
% 26.40/3.77 sQ16_spl),
% 26.40/3.77 inference(contradiction_clause,[status(thm)],[f968])).
% 26.40/3.77 fof(f970,plain,(
% 26.40/3.77 $false|sQ15_spl),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f952,f375])).
% 26.40/3.77 fof(f971,plain,(
% 26.40/3.77 sQ15_spl),
% 26.40/3.77 inference(contradiction_clause,[status(thm)],[f970])).
% 26.40/3.77 fof(f982,plain,(
% 26.40/3.77 ![X0]: (~relation(empty_set)|~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,empty_set))=relation_rng(empty_set))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f638,f612])).
% 26.40/3.77 fof(f983,plain,(
% 26.40/3.77 ![X0]: (~relation(empty_set)|~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),empty_set))=X0)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f638,f807])).
% 26.40/3.77 fof(f984,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~relation(empty_set)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,empty_set))=relation_dom(X0))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f638,f606])).
% 26.40/3.77 fof(f985,plain,(
% 26.40/3.77 ![X0]: (~relation(empty_set)|~relation(X0)|subset(relation_dom(relation_composition(empty_set,X0)),empty_set))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f638,f600])).
% 26.40/3.77 fof(f986,definition,(
% 26.40/3.77 sQ19_spl <=> (relation(empty_set))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f988,plain,(
% 26.40/3.77 ~relation(empty_set)|sQ19_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f986])).
% 26.40/3.77 fof(f989,definition,(
% 26.40/3.77 ![X0]: (sQ20_spl <=> (~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,empty_set))=relation_rng(empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f990,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,empty_set))=relation_rng(empty_set)|~sQ20_spl)),
% 26.40/3.77 inference(component_clause,[status(thm)],[f989])).
% 26.40/3.77 fof(f992,plain,(
% 26.40/3.77 ~sQ19_spl|sQ20_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f982,f986,f989])).
% 26.40/3.77 fof(f993,definition,(
% 26.40/3.77 ![X0]: (sQ21_spl <=> (~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),empty_set))=X0))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f996,plain,(
% 26.40/3.77 ~sQ19_spl|sQ21_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f983,f986,f993])).
% 26.40/3.77 fof(f997,definition,(
% 26.40/3.77 ![X0]: (sQ22_spl <=> (~relation(X0)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,empty_set))=relation_dom(X0)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f998,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,empty_set))=relation_dom(X0)|~sQ22_spl)),
% 26.40/3.77 inference(component_clause,[status(thm)],[f997])).
% 26.40/3.77 fof(f1000,plain,(
% 26.40/3.77 sQ22_spl|~sQ19_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f984,f997,f986])).
% 26.40/3.77 fof(f1001,definition,(
% 26.40/3.77 ![X0]: (sQ23_spl <=> (~relation(X0)|subset(relation_dom(relation_composition(empty_set,X0)),empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1002,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|subset(relation_dom(relation_composition(empty_set,X0)),empty_set)|~sQ23_spl)),
% 26.40/3.77 inference(component_clause,[status(thm)],[f1001])).
% 26.40/3.77 fof(f1004,plain,(
% 26.40/3.77 ~sQ19_spl|sQ23_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f985,f986,f1001])).
% 26.40/3.77 fof(f1005,plain,(
% 26.40/3.77 $false|sQ19_spl),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f988,f401])).
% 26.40/3.77 fof(f1006,plain,(
% 26.40/3.77 sQ19_spl),
% 26.40/3.77 inference(contradiction_clause,[status(thm)],[f1005])).
% 26.40/3.77 fof(f1007,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,empty_set))=empty_set|~sQ20_spl)),
% 26.40/3.77 inference(forward_demodulation,[status(thm)],[f639,f990])).
% 26.40/3.77 fof(f1008,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|relation_rng(relation_composition(X0,empty_set))=empty_set|~sQ20_spl)),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f1007,f547])).
% 26.40/3.77 fof(f1009,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~relation(empty_set)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(empty_set,X0))=relation_rng(X0))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f639,f612])).
% 26.40/3.77 fof(f1010,plain,(
% 26.40/3.77 ![X0]: (~relation(empty_set)|~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(empty_set,X0))=relation_dom(empty_set))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f639,f606])).
% 26.40/3.77 fof(f1011,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~relation(empty_set)|subset(relation_rng(relation_composition(X0,empty_set)),empty_set))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f639,f602])).
% 26.40/3.77 fof(f1012,definition,(
% 26.40/3.77 ![X0]: (sQ24_spl <=> (~relation(X0)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(empty_set,X0))=relation_rng(X0)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1013,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(empty_set,X0))=relation_rng(X0)|~sQ24_spl)),
% 26.40/3.77 inference(component_clause,[status(thm)],[f1012])).
% 26.40/3.77 fof(f1015,plain,(
% 26.40/3.77 sQ24_spl|~sQ19_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1009,f1012,f986])).
% 26.40/3.77 fof(f1016,definition,(
% 26.40/3.77 ![X0]: (sQ25_spl <=> (~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(empty_set,X0))=relation_dom(empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1017,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(empty_set,X0))=relation_dom(empty_set)|~sQ25_spl)),
% 26.40/3.77 inference(component_clause,[status(thm)],[f1016])).
% 26.40/3.77 fof(f1019,plain,(
% 26.40/3.77 ~sQ19_spl|sQ25_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1010,f986,f1016])).
% 26.40/3.77 fof(f1020,definition,(
% 26.40/3.77 ![X0]: (sQ26_spl <=> (~relation(X0)|subset(relation_rng(relation_composition(X0,empty_set)),empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1021,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|subset(relation_rng(relation_composition(X0,empty_set)),empty_set)|~sQ26_spl)),
% 26.40/3.77 inference(component_clause,[status(thm)],[f1020])).
% 26.40/3.77 fof(f1023,plain,(
% 26.40/3.77 sQ26_spl|~sQ19_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1011,f1020,f986])).
% 26.40/3.77 fof(f1024,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(empty_set,X0))=empty_set|~sQ25_spl)),
% 26.40/3.77 inference(forward_demodulation,[status(thm)],[f638,f1017])).
% 26.40/3.77 fof(f1025,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|relation_dom(relation_composition(empty_set,X0))=empty_set|~sQ25_spl)),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f1024,f547])).
% 26.40/3.77 fof(f1030,plain,(
% 26.40/3.77 ![X0,X1]: (relation_composition(X0,X1)=empty_set|~empty(X0)|~relation(X1))),
% 26.40/3.77 inference(resolution,[status(thm)],[f658,f415])).
% 26.40/3.77 fof(f1031,plain,(
% 26.40/3.77 ![X0,X1]: (relation_composition(X0,X1)=empty_set|~empty(X1)|~relation(X0))),
% 26.40/3.77 inference(resolution,[status(thm)],[f658,f385])).
% 26.40/3.77 fof(f1044,plain,(
% 26.40/3.77 ![X0]: (~relation(empty_set)|empty_set=identity_relation(X0)|in(sK0_skl(X0,empty_set),X0))),
% 26.40/3.77 inference(resolution,[status(thm)],[f196,f732])).
% 26.40/3.77 fof(f1051,definition,(
% 26.40/3.77 ![X0]: (sQ27_spl <=> (empty_set=identity_relation(X0)|in(sK0_skl(X0,empty_set),X0)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1054,plain,(
% 26.40/3.77 ~sQ19_spl|sQ27_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1044,f986,f1051])).
% 26.40/3.77 fof(f1059,plain,(
% 26.40/3.77 ![X0]: (~relation(empty_set)|empty_set=identity_relation(X0)|sK0_skl(X0,empty_set)=sK1_skl(X0,empty_set))),
% 26.40/3.77 inference(resolution,[status(thm)],[f197,f732])).
% 26.40/3.77 fof(f1067,definition,(
% 26.40/3.77 ![X0]: (sQ28_spl <=> (empty_set=identity_relation(X0)|sK0_skl(X0,empty_set)=sK1_skl(X0,empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1070,plain,(
% 26.40/3.77 ~sQ19_spl|sQ28_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1059,f986,f1067])).
% 26.40/3.77 fof(f1073,plain,(
% 26.40/3.77 ![X0,X1]: (relation_rng(X0)=relation_rng(relation_composition(X1,X0))|~subset(relation_rng(X0),relation_rng(relation_composition(X1,X0)))|~relation(X1)|~relation(X0))),
% 26.40/3.77 inference(resolution,[status(thm)],[f202,f602])).
% 26.40/3.77 fof(f1079,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(identity_relation(empty_set),sK51_skl))|~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),sK51_skl)))=relation_rng(relation_composition(identity_relation(empty_set),sK51_skl)))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f900,f612])).
% 26.40/3.77 fof(f1080,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(identity_relation(empty_set),sK51_skl))|~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),relation_composition(identity_relation(empty_set),sK51_skl)))=X0)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f900,f807])).
% 26.40/3.77 fof(f1081,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~relation(relation_composition(identity_relation(empty_set),sK51_skl))|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(identity_relation(empty_set),sK51_skl)))=relation_dom(X0))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f900,f606])).
% 26.40/3.77 fof(f1082,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(identity_relation(empty_set),sK51_skl))|~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(empty_set),sK51_skl),X0)),empty_set))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f900,f600])).
% 26.40/3.77 fof(f1085,definition,(
% 26.40/3.77 sQ29_spl <=> (relation(relation_composition(identity_relation(empty_set),sK51_skl)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1086,plain,(
% 26.40/3.77 relation(relation_composition(identity_relation(empty_set),sK51_skl))|~sQ29_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f1085])).
% 26.40/3.77 fof(f1087,plain,(
% 26.40/3.77 ~relation(relation_composition(identity_relation(empty_set),sK51_skl))|sQ29_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f1085])).
% 26.40/3.77 fof(f1088,definition,(
% 26.40/3.77 ![X0]: (sQ30_spl <=> (~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),sK51_skl)))=relation_rng(relation_composition(identity_relation(empty_set),sK51_skl))))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1091,plain,(
% 26.40/3.77 ~sQ29_spl|sQ30_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1079,f1085,f1088])).
% 26.40/3.77 fof(f1092,definition,(
% 26.40/3.77 ![X0]: (sQ31_spl <=> (~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),relation_composition(identity_relation(empty_set),sK51_skl)))=X0))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1095,plain,(
% 26.40/3.77 ~sQ29_spl|sQ31_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1080,f1085,f1092])).
% 26.40/3.77 fof(f1096,definition,(
% 26.40/3.77 ![X0]: (sQ32_spl <=> (~relation(X0)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(identity_relation(empty_set),sK51_skl)))=relation_dom(X0)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1099,plain,(
% 26.40/3.77 sQ32_spl|~sQ29_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1081,f1096,f1085])).
% 26.40/3.77 fof(f1100,definition,(
% 26.40/3.77 ![X0]: (sQ33_spl <=> (~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(empty_set),sK51_skl),X0)),empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1103,plain,(
% 26.40/3.77 ~sQ29_spl|sQ33_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1082,f1085,f1100])).
% 26.40/3.77 fof(f1106,plain,(
% 26.40/3.77 ~relation(identity_relation(empty_set))|~relation(sK51_skl)|sQ29_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f1087,f372])).
% 26.40/3.77 fof(f1109,definition,(
% 26.40/3.77 sQ34_spl <=> (empty(sK51_skl))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1110,plain,(
% 26.40/3.77 empty(sK51_skl)|~sQ34_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f1109])).
% 26.40/3.77 fof(f1113,plain,(
% 26.40/3.77 ~sQ5_spl|~sQ16_spl|sQ29_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1106,f880,f953,f1085])).
% 26.40/3.77 fof(f1115,plain,(
% 26.40/3.77 relation_dom(relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl)))=empty_set|~sQ29_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f1086,f829])).
% 26.40/3.77 fof(f1118,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl)))|~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl))))=relation_rng(relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl)))|~sQ29_spl)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1115,f612])).
% 26.40/3.77 fof(f1119,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl)))|~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl))))=X0|~sQ29_spl)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1115,f807])).
% 26.40/3.77 fof(f1120,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~relation(relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl)))|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl))))=relation_dom(X0)|~sQ29_spl)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1115,f606])).
% 26.40/3.77 fof(f1121,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl)))|~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl)),X0)),empty_set)|~sQ29_spl)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1115,f600])).
% 26.40/3.77 fof(f1124,definition,(
% 26.40/3.77 sQ35_spl <=> (relation(relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl))))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1126,plain,(
% 26.40/3.77 ~relation(relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl)))|sQ35_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f1124])).
% 26.40/3.77 fof(f1127,definition,(
% 26.40/3.77 ![X0]: (sQ36_spl <=> (~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl))))=relation_rng(relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl)))))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1130,plain,(
% 26.40/3.77 ~sQ35_spl|sQ36_spl|~sQ29_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1118,f1124,f1127,f1085])).
% 26.40/3.77 fof(f1131,definition,(
% 26.40/3.77 ![X0]: (sQ37_spl <=> (~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl))))=X0))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1134,plain,(
% 26.40/3.77 ~sQ35_spl|sQ37_spl|~sQ29_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1119,f1124,f1131,f1085])).
% 26.40/3.77 fof(f1135,definition,(
% 26.40/3.77 ![X0]: (sQ38_spl <=> (~relation(X0)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl))))=relation_dom(X0)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1138,plain,(
% 26.40/3.77 sQ38_spl|~sQ35_spl|~sQ29_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1120,f1135,f1124,f1085])).
% 26.40/3.77 fof(f1139,definition,(
% 26.40/3.77 ![X0]: (sQ39_spl <=> (~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(empty_set),relation_composition(identity_relation(empty_set),sK51_skl)),X0)),empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1142,plain,(
% 26.40/3.77 ~sQ35_spl|sQ39_spl|~sQ29_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1121,f1124,f1139,f1085])).
% 26.40/3.77 fof(f1156,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(identity_relation(empty_set),empty_set))|~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),empty_set)))=relation_rng(relation_composition(identity_relation(empty_set),empty_set)))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f895,f612])).
% 26.40/3.77 fof(f1157,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(identity_relation(empty_set),empty_set))|~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),relation_composition(identity_relation(empty_set),empty_set)))=X0)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f895,f807])).
% 26.40/3.77 fof(f1158,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~relation(relation_composition(identity_relation(empty_set),empty_set))|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(identity_relation(empty_set),empty_set)))=relation_dom(X0))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f895,f606])).
% 26.40/3.77 fof(f1159,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(identity_relation(empty_set),empty_set))|~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(empty_set),empty_set),X0)),empty_set))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f895,f600])).
% 26.40/3.77 fof(f1162,definition,(
% 26.40/3.77 sQ40_spl <=> (relation(relation_composition(identity_relation(empty_set),empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1164,plain,(
% 26.40/3.77 ~relation(relation_composition(identity_relation(empty_set),empty_set))|sQ40_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f1162])).
% 26.40/3.77 fof(f1165,definition,(
% 26.40/3.77 ![X0]: (sQ41_spl <=> (~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),empty_set)))=relation_rng(relation_composition(identity_relation(empty_set),empty_set))))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1168,plain,(
% 26.40/3.77 ~sQ40_spl|sQ41_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1156,f1162,f1165])).
% 26.40/3.77 fof(f1169,definition,(
% 26.40/3.77 ![X0]: (sQ42_spl <=> (~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),relation_composition(identity_relation(empty_set),empty_set)))=X0))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1172,plain,(
% 26.40/3.77 ~sQ40_spl|sQ42_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1157,f1162,f1169])).
% 26.40/3.77 fof(f1173,definition,(
% 26.40/3.77 ![X0]: (sQ43_spl <=> (~relation(X0)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(identity_relation(empty_set),empty_set)))=relation_dom(X0)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1176,plain,(
% 26.40/3.77 sQ43_spl|~sQ40_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1158,f1173,f1162])).
% 26.40/3.77 fof(f1177,definition,(
% 26.40/3.77 ![X0]: (sQ44_spl <=> (~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(empty_set),empty_set),X0)),empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1180,plain,(
% 26.40/3.77 ~sQ40_spl|sQ44_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1159,f1162,f1177])).
% 26.40/3.77 fof(f1184,plain,(
% 26.40/3.77 ![X0]: (~relation(empty_set)|~subset(empty_set,X0)|relation_dom(relation_composition(empty_set,identity_relation(X0)))=relation_dom(empty_set))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f639,f808])).
% 26.40/3.77 fof(f1187,definition,(
% 26.40/3.77 ![X0]: (sQ45_spl <=> (~subset(empty_set,X0)|relation_dom(relation_composition(empty_set,identity_relation(X0)))=relation_dom(empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1190,plain,(
% 26.40/3.77 ~sQ19_spl|sQ45_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1184,f986,f1187])).
% 26.40/3.77 fof(f1199,plain,(
% 26.40/3.77 ![X0]: (~relation(empty_set)|~subset(X0,empty_set)|relation_rng(relation_composition(empty_set,identity_relation(X0)))=X0)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f639,f825])).
% 26.40/3.77 fof(f1202,definition,(
% 26.40/3.77 ![X0]: (sQ46_spl <=> (~subset(X0,empty_set)|relation_rng(relation_composition(empty_set,identity_relation(X0)))=X0))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1205,plain,(
% 26.40/3.77 ~sQ19_spl|sQ46_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1199,f986,f1202])).
% 26.40/3.77 fof(f1270,plain,(
% 26.40/3.77 ![X0]: (~in(X0,sK51_skl)|X0=ordered_pair(sK2_skl(X0,sK51_skl),sK3_skl(X0,sK51_skl)))),
% 26.40/3.77 inference(resolution,[status(thm)],[f207,f668])).
% 26.40/3.77 fof(f1279,plain,(
% 26.40/3.77 ~relation(identity_relation(empty_set))|~relation(relation_composition(identity_relation(empty_set),sK51_skl))|sQ35_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f1126,f372])).
% 26.40/3.77 fof(f1287,plain,(
% 26.40/3.77 ~sQ5_spl|~sQ29_spl|sQ35_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1279,f880,f1085,f1124])).
% 26.40/3.77 fof(f1293,plain,(
% 26.40/3.77 ![X0]: (ordered_pair(sK0_skl(X0,sK51_skl),sK1_skl(X0,sK51_skl))=ordered_pair(sK2_skl(ordered_pair(sK0_skl(X0,sK51_skl),sK1_skl(X0,sK51_skl)),sK51_skl),sK3_skl(ordered_pair(sK0_skl(X0,sK51_skl),sK1_skl(X0,sK51_skl)),sK51_skl))|~relation(sK51_skl)|sK51_skl=identity_relation(X0)|sK0_skl(X0,sK51_skl)=sK1_skl(X0,sK51_skl))),
% 26.40/3.77 inference(resolution,[status(thm)],[f1270,f197])).
% 26.40/3.77 fof(f1294,plain,(
% 26.40/3.77 ![X0]: (ordered_pair(sK0_skl(X0,sK51_skl),sK1_skl(X0,sK51_skl))=ordered_pair(sK2_skl(ordered_pair(sK0_skl(X0,sK51_skl),sK1_skl(X0,sK51_skl)),sK51_skl),sK3_skl(ordered_pair(sK0_skl(X0,sK51_skl),sK1_skl(X0,sK51_skl)),sK51_skl))|~relation(sK51_skl)|sK51_skl=identity_relation(X0)|in(sK0_skl(X0,sK51_skl),X0))),
% 26.40/3.77 inference(resolution,[status(thm)],[f1270,f196])).
% 26.40/3.77 fof(f1299,definition,(
% 26.40/3.77 ![X0]: (sQ49_spl <=> (ordered_pair(sK0_skl(X0,sK51_skl),sK1_skl(X0,sK51_skl))=ordered_pair(sK2_skl(ordered_pair(sK0_skl(X0,sK51_skl),sK1_skl(X0,sK51_skl)),sK51_skl),sK3_skl(ordered_pair(sK0_skl(X0,sK51_skl),sK1_skl(X0,sK51_skl)),sK51_skl))|sK51_skl=identity_relation(X0)|sK0_skl(X0,sK51_skl)=sK1_skl(X0,sK51_skl)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1302,plain,(
% 26.40/3.77 sQ49_spl|~sQ16_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1293,f1299,f953])).
% 26.40/3.77 fof(f1303,definition,(
% 26.40/3.77 ![X0]: (sQ50_spl <=> (ordered_pair(sK0_skl(X0,sK51_skl),sK1_skl(X0,sK51_skl))=ordered_pair(sK2_skl(ordered_pair(sK0_skl(X0,sK51_skl),sK1_skl(X0,sK51_skl)),sK51_skl),sK3_skl(ordered_pair(sK0_skl(X0,sK51_skl),sK1_skl(X0,sK51_skl)),sK51_skl))|sK51_skl=identity_relation(X0)|in(sK0_skl(X0,sK51_skl),X0)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1306,plain,(
% 26.40/3.77 sQ50_spl|~sQ16_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1294,f1303,f953])).
% 26.40/3.77 fof(f1310,plain,(
% 26.40/3.77 in(sK52_skl,sK54_skl)|~sQ18_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f964,f772])).
% 26.40/3.77 fof(f1311,plain,(
% 26.40/3.77 sK52_skl=sK32_skl(sK53_skl,sK52_skl,relation_composition(identity_relation(sK54_skl),sK51_skl),sK51_skl,identity_relation(sK54_skl))|~sQ18_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f964,f771])).
% 26.40/3.77 fof(f1314,plain,(
% 26.40/3.77 $false|sQ1_spl|~sQ18_spl),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f1310,f713])).
% 26.40/3.77 fof(f1315,plain,(
% 26.40/3.77 sQ1_spl|~sQ18_spl),
% 26.40/3.77 inference(contradiction_clause,[status(thm)],[f1314])).
% 26.40/3.77 fof(f1316,plain,(
% 26.40/3.77 in(ordered_pair(sK52_skl,sK52_skl),identity_relation(sK54_skl))|~sQ1_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f712,f770])).
% 26.40/3.77 fof(f1323,plain,(
% 26.40/3.77 ~relation(identity_relation(empty_set))|~relation(empty_set)|sQ40_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f1164,f372])).
% 26.40/3.77 fof(f1327,definition,(
% 26.40/3.77 sQ51_spl <=> (empty(empty_set))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1331,plain,(
% 26.40/3.77 ~sQ5_spl|~sQ19_spl|sQ40_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1323,f880,f986,f1162])).
% 26.40/3.77 fof(f1334,plain,(
% 26.40/3.77 in(ordered_pair(ordered_pair(sK52_skl,sK53_skl),ordered_pair(sK52_skl,sK53_skl)),identity_relation(sK51_skl))|~sQ2_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f716,f770])).
% 26.40/3.77 fof(f1338,plain,(
% 26.40/3.77 ![X0]: (~relation(identity_relation(sK54_skl))|~relation(sK51_skl)|~in(ordered_pair(sK52_skl,X0),identity_relation(sK54_skl))|~in(ordered_pair(X0,sK53_skl),sK51_skl)|sQ0_spl)),
% 26.40/3.77 inference(resolution,[status(thm)],[f710,f767])).
% 26.40/3.77 fof(f1339,definition,(
% 26.40/3.77 ![X0]: (sQ52_spl <=> (~in(ordered_pair(sK52_skl,X0),identity_relation(sK54_skl))|~in(ordered_pair(X0,sK53_skl),sK51_skl)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1340,plain,(
% 26.40/3.77 ![X0]: (~in(ordered_pair(sK52_skl,X0),identity_relation(sK54_skl))|~in(ordered_pair(X0,sK53_skl),sK51_skl)|~sQ52_spl)),
% 26.40/3.77 inference(component_clause,[status(thm)],[f1339])).
% 26.40/3.77 fof(f1342,plain,(
% 26.40/3.77 ~sQ15_spl|~sQ16_spl|sQ52_spl|sQ0_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1338,f950,f953,f1339,f708])).
% 26.40/3.77 fof(f1343,plain,(
% 26.40/3.77 in(ordered_pair(sK52_skl,sK53_skl),sK51_skl)|~sQ18_spl|~sQ17_spl),
% 26.40/3.77 inference(backward_demodulation,[status(thm)],[f1311,f957])).
% 26.40/3.77 fof(f1355,plain,(
% 26.40/3.77 ![X0]: (~subset(relation_dom(empty_set),X0)|relation_rng(relation_composition(identity_relation(X0),empty_set))=relation_rng(empty_set))),
% 26.40/3.77 inference(resolution,[status(thm)],[f826,f401])).
% 26.40/3.77 fof(f1364,plain,(
% 26.40/3.77 ![X0]: (~subset(relation_dom(sK51_skl),X0)|relation_rng(relation_composition(identity_relation(X0),sK51_skl))=relation_rng(sK51_skl))),
% 26.40/3.77 inference(resolution,[status(thm)],[f826,f668])).
% 26.40/3.77 fof(f1367,plain,(
% 26.40/3.77 ![X0]: (~subset(empty_set,X0)|relation_rng(relation_composition(identity_relation(X0),empty_set))=relation_rng(empty_set))),
% 26.40/3.77 inference(forward_demodulation,[status(thm)],[f638,f1355])).
% 26.40/3.77 fof(f1368,plain,(
% 26.40/3.77 ![X0]: (~subset(empty_set,X0)|relation_rng(relation_composition(identity_relation(X0),empty_set))=empty_set)),
% 26.40/3.77 inference(forward_demodulation,[status(thm)],[f639,f1367])).
% 26.40/3.77 fof(f1370,plain,(
% 26.40/3.77 ![X0]: (relation_rng(relation_composition(identity_relation(X0),empty_set))=empty_set)),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f1368,f547])).
% 26.40/3.77 fof(f1437,definition,(
% 26.40/3.77 sQ53_spl <=> (empty_set=empty_set)),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1446,plain,(
% 26.40/3.77 ![X0]: (sK51_skl=empty_set|in(X0,set_meet(sK51_skl))|sK5_skl(X0,set_meet(sK51_skl),sK51_skl)=ordered_pair(sK2_skl(sK5_skl(X0,set_meet(sK51_skl),sK51_skl),sK51_skl),sK3_skl(sK5_skl(X0,set_meet(sK51_skl),sK51_skl),sK51_skl)))),
% 26.40/3.77 inference(resolution,[status(thm)],[f726,f1270])).
% 26.40/3.77 fof(f1452,definition,(
% 26.40/3.77 sQ55_spl <=> (sK51_skl=empty_set)),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1453,plain,(
% 26.40/3.77 sK51_skl=empty_set|~sQ55_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f1452])).
% 26.40/3.77 fof(f1455,definition,(
% 26.40/3.77 ![X0]: (sQ56_spl <=> (in(X0,set_meet(sK51_skl))|sK5_skl(X0,set_meet(sK51_skl),sK51_skl)=ordered_pair(sK2_skl(sK5_skl(X0,set_meet(sK51_skl),sK51_skl),sK51_skl),sK3_skl(sK5_skl(X0,set_meet(sK51_skl),sK51_skl),sK51_skl))))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1458,plain,(
% 26.40/3.77 sQ55_spl|sQ56_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1446,f1452,f1455])).
% 26.40/3.77 fof(f1469,plain,(
% 26.40/3.77 in(ordered_pair(sK52_skl,sK53_skl),empty_set)|~sQ55_spl|~sQ2_spl),
% 26.40/3.77 inference(backward_demodulation,[status(thm)],[f1453,f716])).
% 26.40/3.77 fof(f1498,plain,(
% 26.40/3.77 $false|~sQ55_spl|~sQ2_spl),
% 26.40/3.77 inference(forward_subsumption_resolution,[status(thm)],[f1469,f732])).
% 26.40/3.77 fof(f1499,plain,(
% 26.40/3.77 ~sQ55_spl|~sQ2_spl),
% 26.40/3.77 inference(contradiction_clause,[status(thm)],[f1498])).
% 26.40/3.77 fof(f1500,plain,(
% 26.40/3.77 sQ2_spl|~sQ18_spl|~sQ17_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1343,f715,f963,f956])).
% 26.40/3.77 fof(f1522,definition,(
% 26.40/3.77 sQ60_spl <=> (subset(empty_set,relation_dom(empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1528,plain,(
% 26.40/3.77 ![X0]: (~relation(identity_relation(X0))|~relation(empty_set)|subset(empty_set,relation_rng(empty_set)))),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1370,f602])).
% 26.40/3.77 fof(f1534,definition,(
% 26.40/3.77 sQ61_spl <=> (subset(empty_set,relation_rng(empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1537,plain,(
% 26.40/3.77 sQ3_spl|~sQ19_spl|sQ61_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1528,f873,f986,f1534])).
% 26.40/3.77 fof(f1541,plain,(
% 26.40/3.77 relation_rng(relation_composition(sK51_skl,empty_set))=empty_set|~sQ20_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f1008,f668])).
% 26.40/3.77 fof(f1543,plain,(
% 26.40/3.77 relation_rng(relation_composition(sK42_skl,empty_set))=empty_set|~sQ20_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f1008,f476])).
% 26.40/3.77 fof(f1544,plain,(
% 26.40/3.77 relation_rng(relation_composition(empty_set,empty_set))=empty_set|~sQ20_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f1008,f401])).
% 26.40/3.77 fof(f1555,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(sK51_skl,empty_set))|~subset(X0,empty_set)|relation_rng(relation_composition(relation_composition(sK51_skl,empty_set),identity_relation(X0)))=X0|~sQ20_spl)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1541,f825])).
% 26.40/3.77 fof(f1556,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(sK51_skl,empty_set))|~subset(empty_set,X0)|relation_dom(relation_composition(relation_composition(sK51_skl,empty_set),identity_relation(X0)))=relation_dom(relation_composition(sK51_skl,empty_set))|~sQ20_spl)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1541,f808])).
% 26.40/3.77 fof(f1557,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~relation(relation_composition(sK51_skl,empty_set))|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(sK51_skl,empty_set),X0))=relation_rng(X0)|~sQ20_spl)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1541,f612])).
% 26.40/3.77 fof(f1558,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(sK51_skl,empty_set))|~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(relation_composition(sK51_skl,empty_set),X0))=relation_dom(relation_composition(sK51_skl,empty_set))|~sQ20_spl)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1541,f606])).
% 26.40/3.77 fof(f1559,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~relation(relation_composition(sK51_skl,empty_set))|subset(relation_rng(relation_composition(X0,relation_composition(sK51_skl,empty_set))),empty_set)|~sQ20_spl)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1541,f602])).
% 26.40/3.77 fof(f1561,definition,(
% 26.40/3.77 sQ62_spl <=> (relation(relation_composition(sK51_skl,empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1562,plain,(
% 26.40/3.77 relation(relation_composition(sK51_skl,empty_set))|~sQ62_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f1561])).
% 26.40/3.77 fof(f1563,plain,(
% 26.40/3.77 ~relation(relation_composition(sK51_skl,empty_set))|sQ62_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f1561])).
% 26.40/3.77 fof(f1564,definition,(
% 26.40/3.77 ![X0]: (sQ63_spl <=> (~subset(X0,empty_set)|relation_rng(relation_composition(relation_composition(sK51_skl,empty_set),identity_relation(X0)))=X0))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1567,plain,(
% 26.40/3.77 ~sQ62_spl|sQ63_spl|~sQ20_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1555,f1561,f1564,f989])).
% 26.40/3.77 fof(f1568,definition,(
% 26.40/3.77 ![X0]: (sQ64_spl <=> (~subset(empty_set,X0)|relation_dom(relation_composition(relation_composition(sK51_skl,empty_set),identity_relation(X0)))=relation_dom(relation_composition(sK51_skl,empty_set))))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1571,plain,(
% 26.40/3.77 ~sQ62_spl|sQ64_spl|~sQ20_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1556,f1561,f1568,f989])).
% 26.40/3.77 fof(f1572,definition,(
% 26.40/3.77 ![X0]: (sQ65_spl <=> (~relation(X0)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(sK51_skl,empty_set),X0))=relation_rng(X0)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1575,plain,(
% 26.40/3.77 sQ65_spl|~sQ62_spl|~sQ20_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1557,f1572,f1561,f989])).
% 26.40/3.77 fof(f1576,definition,(
% 26.40/3.77 ![X0]: (sQ66_spl <=> (~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(relation_composition(sK51_skl,empty_set),X0))=relation_dom(relation_composition(sK51_skl,empty_set))))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1579,plain,(
% 26.40/3.77 ~sQ62_spl|sQ66_spl|~sQ20_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1558,f1561,f1576,f989])).
% 26.40/3.77 fof(f1580,definition,(
% 26.40/3.77 ![X0]: (sQ67_spl <=> (~relation(X0)|subset(relation_rng(relation_composition(X0,relation_composition(sK51_skl,empty_set))),empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1583,plain,(
% 26.40/3.77 sQ67_spl|~sQ62_spl|~sQ20_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1559,f1580,f1561,f989])).
% 26.40/3.77 fof(f1586,plain,(
% 26.40/3.77 ~relation(sK51_skl)|~relation(empty_set)|sQ62_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f1563,f372])).
% 26.40/3.77 fof(f1591,plain,(
% 26.40/3.77 ~sQ16_spl|~sQ19_spl|sQ62_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1586,f953,f986,f1561])).
% 26.40/3.77 fof(f1594,plain,(
% 26.40/3.77 relation_rng(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))=empty_set|~sQ62_spl|~sQ20_spl),
% 26.40/3.77 inference(resolution,[status(thm)],[f1562,f1008])).
% 26.40/3.77 fof(f1600,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(sK42_skl,empty_set))|~subset(X0,empty_set)|relation_rng(relation_composition(relation_composition(sK42_skl,empty_set),identity_relation(X0)))=X0|~sQ20_spl)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1543,f825])).
% 26.40/3.77 fof(f1601,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(sK42_skl,empty_set))|~subset(empty_set,X0)|relation_dom(relation_composition(relation_composition(sK42_skl,empty_set),identity_relation(X0)))=relation_dom(relation_composition(sK42_skl,empty_set))|~sQ20_spl)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1543,f808])).
% 26.40/3.77 fof(f1602,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~relation(relation_composition(sK42_skl,empty_set))|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(sK42_skl,empty_set),X0))=relation_rng(X0)|~sQ20_spl)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1543,f612])).
% 26.40/3.77 fof(f1603,plain,(
% 26.40/3.77 ![X0]: (~relation(relation_composition(sK42_skl,empty_set))|~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(relation_composition(sK42_skl,empty_set),X0))=relation_dom(relation_composition(sK42_skl,empty_set))|~sQ20_spl)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1543,f606])).
% 26.40/3.77 fof(f1604,plain,(
% 26.40/3.77 ![X0]: (~relation(X0)|~relation(relation_composition(sK42_skl,empty_set))|subset(relation_rng(relation_composition(X0,relation_composition(sK42_skl,empty_set))),empty_set)|~sQ20_spl)),
% 26.40/3.77 inference(paramodulation,[status(thm)],[f1543,f602])).
% 26.40/3.77 fof(f1606,definition,(
% 26.40/3.77 sQ68_spl <=> (relation(relation_composition(sK42_skl,empty_set)))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1608,plain,(
% 26.40/3.77 ~relation(relation_composition(sK42_skl,empty_set))|sQ68_spl),
% 26.40/3.77 inference(component_clause,[status(thm)],[f1606])).
% 26.40/3.77 fof(f1609,definition,(
% 26.40/3.77 ![X0]: (sQ69_spl <=> (~subset(X0,empty_set)|relation_rng(relation_composition(relation_composition(sK42_skl,empty_set),identity_relation(X0)))=X0))),
% 26.40/3.77 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 26.40/3.77 fof(f1612,plain,(
% 26.40/3.77 ~sQ68_spl|sQ69_spl|~sQ20_spl),
% 26.40/3.77 inference(split_clause,[status(thm)],[f1600,f1606,f1609,f989])).
% 26.40/3.77 fof(f1613,definition,(
% 26.40/3.77 ![X0]: (sQ70_spl <=> (~subset(empty_set,X0)|relation_dom(relation_composition(relation_composition(sK42_skl,empty_set),identity_relation(X0)))=relation_dom(relation_composition(sK42_skl,empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f1616,plain,(
% 26.40/3.78 ~sQ68_spl|sQ70_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1601,f1606,f1613,f989])).
% 26.40/3.78 fof(f1617,definition,(
% 26.40/3.78 ![X0]: (sQ71_spl <=> (~relation(X0)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(sK42_skl,empty_set),X0))=relation_rng(X0)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f1620,plain,(
% 26.40/3.78 sQ71_spl|~sQ68_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1602,f1617,f1606,f989])).
% 26.40/3.78 fof(f1621,definition,(
% 26.40/3.78 ![X0]: (sQ72_spl <=> (~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(relation_composition(sK42_skl,empty_set),X0))=relation_dom(relation_composition(sK42_skl,empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f1624,plain,(
% 26.40/3.78 ~sQ68_spl|sQ72_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1603,f1606,f1621,f989])).
% 26.40/3.78 fof(f1625,definition,(
% 26.40/3.78 ![X0]: (sQ73_spl <=> (~relation(X0)|subset(relation_rng(relation_composition(X0,relation_composition(sK42_skl,empty_set))),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f1628,plain,(
% 26.40/3.78 sQ73_spl|~sQ68_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1604,f1625,f1606,f989])).
% 26.40/3.78 fof(f1637,plain,(
% 26.40/3.78 element(ordered_pair(sK52_skl,sK53_skl),sK51_skl)|~sQ2_spl),
% 26.40/3.78 inference(resolution,[status(thm)],[f520,f716])).
% 26.40/3.78 fof(f1671,plain,(
% 26.40/3.78 ~relation(sK42_skl)|~relation(empty_set)|sQ68_spl),
% 26.40/3.78 inference(resolution,[status(thm)],[f1608,f372])).
% 26.40/3.78 fof(f1676,plain,(
% 26.40/3.78 ~sQ7_spl|~sQ19_spl|sQ68_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1671,f908,f986,f1606])).
% 26.40/3.78 fof(f1683,plain,(
% 26.40/3.78 ![X0]: (sK51_skl=empty_set|X0=set_meet(sK51_skl)|in(sK6_skl(X0,sK51_skl),X0)|in(sK6_skl(X0,sK51_skl),ordered_pair(sK52_skl,sK53_skl))|~sQ2_spl)),
% 26.40/3.78 inference(resolution,[status(thm)],[f219,f716])).
% 26.40/3.78 fof(f1703,definition,(
% 26.40/3.78 ![X0]: (sQ76_spl <=> (X0=set_meet(sK51_skl)|in(sK6_skl(X0,sK51_skl),X0)|in(sK6_skl(X0,sK51_skl),ordered_pair(sK52_skl,sK53_skl))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f1704,plain,(
% 26.40/3.78 ![X0]: (X0=set_meet(sK51_skl)|in(sK6_skl(X0,sK51_skl),X0)|in(sK6_skl(X0,sK51_skl),ordered_pair(sK52_skl,sK53_skl))|~sQ76_spl)),
% 26.40/3.78 inference(component_clause,[status(thm)],[f1703])).
% 26.40/3.78 fof(f1706,plain,(
% 26.40/3.78 sQ55_spl|sQ76_spl|~sQ2_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1683,f1452,f1703,f715])).
% 26.40/3.78 fof(f1733,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(empty_set,empty_set))|~subset(X0,empty_set)|relation_rng(relation_composition(relation_composition(empty_set,empty_set),identity_relation(X0)))=X0|~sQ20_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1544,f825])).
% 26.40/3.78 fof(f1734,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(empty_set,empty_set))|~subset(empty_set,X0)|relation_dom(relation_composition(relation_composition(empty_set,empty_set),identity_relation(X0)))=relation_dom(relation_composition(empty_set,empty_set))|~sQ20_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1544,f808])).
% 26.40/3.78 fof(f1735,plain,(
% 26.40/3.78 ![X0]: (~relation(X0)|~relation(relation_composition(empty_set,empty_set))|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(empty_set,empty_set),X0))=relation_rng(X0)|~sQ20_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1544,f612])).
% 26.40/3.78 fof(f1736,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(empty_set,empty_set))|~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(relation_composition(empty_set,empty_set),X0))=relation_dom(relation_composition(empty_set,empty_set))|~sQ20_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1544,f606])).
% 26.40/3.78 fof(f1737,plain,(
% 26.40/3.78 ![X0]: (~relation(X0)|~relation(relation_composition(empty_set,empty_set))|subset(relation_rng(relation_composition(X0,relation_composition(empty_set,empty_set))),empty_set)|~sQ20_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1544,f602])).
% 26.40/3.78 fof(f1739,definition,(
% 26.40/3.78 sQ77_spl <=> (relation(relation_composition(empty_set,empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f1741,plain,(
% 26.40/3.78 ~relation(relation_composition(empty_set,empty_set))|sQ77_spl),
% 26.40/3.78 inference(component_clause,[status(thm)],[f1739])).
% 26.40/3.78 fof(f1742,definition,(
% 26.40/3.78 ![X0]: (sQ78_spl <=> (~subset(X0,empty_set)|relation_rng(relation_composition(relation_composition(empty_set,empty_set),identity_relation(X0)))=X0))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f1745,plain,(
% 26.40/3.78 ~sQ77_spl|sQ78_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1733,f1739,f1742,f989])).
% 26.40/3.78 fof(f1746,definition,(
% 26.40/3.78 ![X0]: (sQ79_spl <=> (~subset(empty_set,X0)|relation_dom(relation_composition(relation_composition(empty_set,empty_set),identity_relation(X0)))=relation_dom(relation_composition(empty_set,empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f1749,plain,(
% 26.40/3.78 ~sQ77_spl|sQ79_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1734,f1739,f1746,f989])).
% 26.40/3.78 fof(f1750,definition,(
% 26.40/3.78 ![X0]: (sQ80_spl <=> (~relation(X0)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(empty_set,empty_set),X0))=relation_rng(X0)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f1753,plain,(
% 26.40/3.78 sQ80_spl|~sQ77_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1735,f1750,f1739,f989])).
% 26.40/3.78 fof(f1754,definition,(
% 26.40/3.78 ![X0]: (sQ81_spl <=> (~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(relation_composition(empty_set,empty_set),X0))=relation_dom(relation_composition(empty_set,empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f1757,plain,(
% 26.40/3.78 ~sQ77_spl|sQ81_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1736,f1739,f1754,f989])).
% 26.40/3.78 fof(f1758,definition,(
% 26.40/3.78 ![X0]: (sQ82_spl <=> (~relation(X0)|subset(relation_rng(relation_composition(X0,relation_composition(empty_set,empty_set))),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f1761,plain,(
% 26.40/3.78 sQ82_spl|~sQ77_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1737,f1758,f1739,f989])).
% 26.40/3.78 fof(f1764,plain,(
% 26.40/3.78 ~relation(empty_set)|~relation(empty_set)|sQ77_spl),
% 26.40/3.78 inference(resolution,[status(thm)],[f1741,f372])).
% 26.40/3.78 fof(f1769,plain,(
% 26.40/3.78 ~sQ19_spl|sQ77_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1764,f986,f1739])).
% 26.40/3.78 fof(f1783,plain,(
% 26.40/3.78 ![X0,X1,X2,X3]: (~relation(X0)|~relation(empty_set)|~in(ordered_pair(X1,X2),X0)|~in(ordered_pair(X2,X3),empty_set))),
% 26.40/3.78 inference(resolution,[status(thm)],[f960,f732])).
% 26.40/3.78 fof(f1792,definition,(
% 26.40/3.78 ![X0,X1,X2,X3]: (sQ83_spl <=> (~relation(X0)|~in(ordered_pair(X1,X2),X0)|~in(ordered_pair(X2,X3),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f1795,plain,(
% 26.40/3.78 sQ83_spl|~sQ19_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1783,f1792,f986])).
% 26.40/3.78 fof(f1802,plain,(
% 26.40/3.78 ![X0,X1,X2,X3]: (~relation(empty_set)|~relation(X0)|~in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X2,X3),X0))),
% 26.40/3.78 inference(resolution,[status(thm)],[f967,f732])).
% 26.40/3.78 fof(f1810,definition,(
% 26.40/3.78 ![X0,X1,X2,X3]: (sQ84_spl <=> (~relation(X0)|~in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X2,X3),X0)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f1813,plain,(
% 26.40/3.78 ~sQ19_spl|sQ84_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1802,f986,f1810])).
% 26.40/3.78 fof(f1941,plain,(
% 26.40/3.78 element(ordered_pair(sK52_skl,sK52_skl),identity_relation(sK54_skl))|~sQ1_spl),
% 26.40/3.78 inference(resolution,[status(thm)],[f1316,f520])).
% 26.40/3.78 fof(f1944,definition,(
% 26.40/3.78 sQ89_spl <=> (identity_relation(sK54_skl)=empty_set)),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f1945,plain,(
% 26.40/3.78 identity_relation(sK54_skl)=empty_set|~sQ89_spl),
% 26.40/3.78 inference(component_clause,[status(thm)],[f1944])).
% 26.40/3.78 fof(f1951,plain,(
% 26.40/3.78 in(ordered_pair(sK52_skl,sK52_skl),empty_set)|~sQ89_spl|~sQ1_spl),
% 26.40/3.78 inference(backward_demodulation,[status(thm)],[f1945,f1316])).
% 26.40/3.78 fof(f1961,plain,(
% 26.40/3.78 $false|~sQ89_spl|~sQ1_spl),
% 26.40/3.78 inference(forward_subsumption_resolution,[status(thm)],[f1951,f732])).
% 26.40/3.78 fof(f1962,plain,(
% 26.40/3.78 ~sQ89_spl|~sQ1_spl),
% 26.40/3.78 inference(contradiction_clause,[status(thm)],[f1961])).
% 26.40/3.78 fof(f1974,plain,(
% 26.40/3.78 relation_dom(relation_composition(empty_set,sK51_skl))=empty_set|~sQ25_spl),
% 26.40/3.78 inference(resolution,[status(thm)],[f1025,f668])).
% 26.40/3.78 fof(f1976,plain,(
% 26.40/3.78 relation_dom(relation_composition(empty_set,sK42_skl))=empty_set|~sQ25_spl),
% 26.40/3.78 inference(resolution,[status(thm)],[f1025,f476])).
% 26.40/3.78 fof(f1977,plain,(
% 26.40/3.78 relation_dom(relation_composition(empty_set,empty_set))=empty_set|~sQ25_spl),
% 26.40/3.78 inference(resolution,[status(thm)],[f1025,f401])).
% 26.40/3.78 fof(f1995,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(empty_set,sK51_skl))|~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(empty_set,sK51_skl)))=relation_rng(relation_composition(empty_set,sK51_skl))|~sQ25_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1974,f612])).
% 26.40/3.78 fof(f1996,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(empty_set,sK51_skl))|~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),relation_composition(empty_set,sK51_skl)))=X0|~sQ25_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1974,f807])).
% 26.40/3.78 fof(f1997,plain,(
% 26.40/3.78 ![X0]: (~relation(X0)|~relation(relation_composition(empty_set,sK51_skl))|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(empty_set,sK51_skl)))=relation_dom(X0)|~sQ25_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1974,f606])).
% 26.40/3.78 fof(f1998,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(empty_set,sK51_skl))|~relation(X0)|subset(relation_dom(relation_composition(relation_composition(empty_set,sK51_skl),X0)),empty_set)|~sQ25_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1974,f600])).
% 26.40/3.78 fof(f2000,definition,(
% 26.40/3.78 sQ91_spl <=> (relation(relation_composition(empty_set,sK51_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2002,plain,(
% 26.40/3.78 ~relation(relation_composition(empty_set,sK51_skl))|sQ91_spl),
% 26.40/3.78 inference(component_clause,[status(thm)],[f2000])).
% 26.40/3.78 fof(f2003,definition,(
% 26.40/3.78 ![X0]: (sQ92_spl <=> (~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(empty_set,sK51_skl)))=relation_rng(relation_composition(empty_set,sK51_skl))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2006,plain,(
% 26.40/3.78 ~sQ91_spl|sQ92_spl|~sQ25_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1995,f2000,f2003,f1016])).
% 26.40/3.78 fof(f2007,definition,(
% 26.40/3.78 ![X0]: (sQ93_spl <=> (~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),relation_composition(empty_set,sK51_skl)))=X0))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2010,plain,(
% 26.40/3.78 ~sQ91_spl|sQ93_spl|~sQ25_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1996,f2000,f2007,f1016])).
% 26.40/3.78 fof(f2011,definition,(
% 26.40/3.78 ![X0]: (sQ94_spl <=> (~relation(X0)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(empty_set,sK51_skl)))=relation_dom(X0)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2014,plain,(
% 26.40/3.78 sQ94_spl|~sQ91_spl|~sQ25_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1997,f2011,f2000,f1016])).
% 26.40/3.78 fof(f2015,definition,(
% 26.40/3.78 ![X0]: (sQ95_spl <=> (~relation(X0)|subset(relation_dom(relation_composition(relation_composition(empty_set,sK51_skl),X0)),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2018,plain,(
% 26.40/3.78 ~sQ91_spl|sQ95_spl|~sQ25_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f1998,f2000,f2015,f1016])).
% 26.40/3.78 fof(f2019,plain,(
% 26.40/3.78 ~empty(empty_set)|~relation(sK51_skl)|sQ91_spl),
% 26.40/3.78 inference(resolution,[status(thm)],[f2002,f416])).
% 26.40/3.78 fof(f2024,plain,(
% 26.40/3.78 ~sQ51_spl|~sQ16_spl|sQ91_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2019,f1327,f953,f2000])).
% 26.40/3.78 fof(f2037,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(empty_set,sK42_skl))|~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(empty_set,sK42_skl)))=relation_rng(relation_composition(empty_set,sK42_skl))|~sQ25_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1976,f612])).
% 26.40/3.78 fof(f2038,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(empty_set,sK42_skl))|~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),relation_composition(empty_set,sK42_skl)))=X0|~sQ25_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1976,f807])).
% 26.40/3.78 fof(f2039,plain,(
% 26.40/3.78 ![X0]: (~relation(X0)|~relation(relation_composition(empty_set,sK42_skl))|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(empty_set,sK42_skl)))=relation_dom(X0)|~sQ25_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1976,f606])).
% 26.40/3.78 fof(f2040,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(empty_set,sK42_skl))|~relation(X0)|subset(relation_dom(relation_composition(relation_composition(empty_set,sK42_skl),X0)),empty_set)|~sQ25_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1976,f600])).
% 26.40/3.78 fof(f2042,definition,(
% 26.40/3.78 sQ96_spl <=> (relation(relation_composition(empty_set,sK42_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2044,plain,(
% 26.40/3.78 ~relation(relation_composition(empty_set,sK42_skl))|sQ96_spl),
% 26.40/3.78 inference(component_clause,[status(thm)],[f2042])).
% 26.40/3.78 fof(f2045,definition,(
% 26.40/3.78 ![X0]: (sQ97_spl <=> (~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(empty_set,sK42_skl)))=relation_rng(relation_composition(empty_set,sK42_skl))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2048,plain,(
% 26.40/3.78 ~sQ96_spl|sQ97_spl|~sQ25_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2037,f2042,f2045,f1016])).
% 26.40/3.78 fof(f2049,definition,(
% 26.40/3.78 ![X0]: (sQ98_spl <=> (~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),relation_composition(empty_set,sK42_skl)))=X0))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2052,plain,(
% 26.40/3.78 ~sQ96_spl|sQ98_spl|~sQ25_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2038,f2042,f2049,f1016])).
% 26.40/3.78 fof(f2053,definition,(
% 26.40/3.78 ![X0]: (sQ99_spl <=> (~relation(X0)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(empty_set,sK42_skl)))=relation_dom(X0)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2056,plain,(
% 26.40/3.78 sQ99_spl|~sQ96_spl|~sQ25_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2039,f2053,f2042,f1016])).
% 26.40/3.78 fof(f2057,definition,(
% 26.40/3.78 ![X0]: (sQ100_spl <=> (~relation(X0)|subset(relation_dom(relation_composition(relation_composition(empty_set,sK42_skl),X0)),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2060,plain,(
% 26.40/3.78 ~sQ96_spl|sQ100_spl|~sQ25_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2040,f2042,f2057,f1016])).
% 26.40/3.78 fof(f2063,plain,(
% 26.40/3.78 ~relation(empty_set)|~relation(sK42_skl)|sQ96_spl),
% 26.40/3.78 inference(resolution,[status(thm)],[f2044,f372])).
% 26.40/3.78 fof(f2068,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ7_spl|sQ96_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2063,f986,f908,f2042])).
% 26.40/3.78 fof(f2071,plain,(
% 26.40/3.78 ~relation(relation_composition(empty_set,empty_set))|~subset(empty_set,empty_set)|relation_dom(relation_composition(relation_composition(empty_set,empty_set),empty_set))=relation_dom(relation_composition(empty_set,empty_set))|~sQ22_spl|~sQ20_spl),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1544,f998])).
% 26.40/3.78 fof(f2072,plain,(
% 26.40/3.78 ~relation(relation_composition(sK42_skl,empty_set))|~subset(empty_set,empty_set)|relation_dom(relation_composition(relation_composition(sK42_skl,empty_set),empty_set))=relation_dom(relation_composition(sK42_skl,empty_set))|~sQ22_spl|~sQ20_spl),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1543,f998])).
% 26.40/3.78 fof(f2073,plain,(
% 26.40/3.78 ~relation(relation_composition(sK51_skl,empty_set))|~subset(empty_set,empty_set)|relation_dom(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))=relation_dom(relation_composition(sK51_skl,empty_set))|~sQ22_spl|~sQ20_spl),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1541,f998])).
% 26.40/3.78 fof(f2074,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(identity_relation(X0),empty_set))|~subset(empty_set,empty_set)|relation_dom(relation_composition(relation_composition(identity_relation(X0),empty_set),empty_set))=relation_dom(relation_composition(identity_relation(X0),empty_set))|~sQ22_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1370,f998])).
% 26.40/3.78 fof(f2075,plain,(
% 26.40/3.78 ~relation(empty_set)|~subset(empty_set,empty_set)|relation_dom(relation_composition(empty_set,empty_set))=relation_dom(empty_set)|~sQ22_spl),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f639,f998])).
% 26.40/3.78 fof(f2077,definition,(
% 26.40/3.78 sQ101_spl <=> (relation_dom(relation_composition(relation_composition(empty_set,empty_set),empty_set))=relation_dom(relation_composition(empty_set,empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2080,plain,(
% 26.40/3.78 ~sQ77_spl|~sQ4_spl|sQ101_spl|~sQ22_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2071,f1739,f876,f2077,f997,f989])).
% 26.40/3.78 fof(f2081,definition,(
% 26.40/3.78 sQ102_spl <=> (relation_dom(relation_composition(relation_composition(sK42_skl,empty_set),empty_set))=relation_dom(relation_composition(sK42_skl,empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2084,plain,(
% 26.40/3.78 ~sQ68_spl|~sQ4_spl|sQ102_spl|~sQ22_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2072,f1606,f876,f2081,f997,f989])).
% 26.40/3.78 fof(f2085,definition,(
% 26.40/3.78 sQ103_spl <=> (relation_dom(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))=relation_dom(relation_composition(sK51_skl,empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2088,plain,(
% 26.40/3.78 ~sQ62_spl|~sQ4_spl|sQ103_spl|~sQ22_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2073,f1561,f876,f2085,f997,f989])).
% 26.40/3.78 fof(f2089,definition,(
% 26.40/3.78 ![X0]: (sQ104_spl <=> (~relation(relation_composition(identity_relation(X0),empty_set))|relation_dom(relation_composition(relation_composition(identity_relation(X0),empty_set),empty_set))=relation_dom(relation_composition(identity_relation(X0),empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2092,plain,(
% 26.40/3.78 sQ104_spl|~sQ4_spl|~sQ22_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2074,f2089,f876,f997])).
% 26.40/3.78 fof(f2093,definition,(
% 26.40/3.78 sQ105_spl <=> (relation_dom(relation_composition(empty_set,empty_set))=relation_dom(empty_set))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2096,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ4_spl|sQ105_spl|~sQ22_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2075,f986,f876,f2093,f997])).
% 26.40/3.78 fof(f2263,plain,(
% 26.40/3.78 ~relation(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))|~subset(empty_set,empty_set)|relation_dom(relation_composition(relation_composition(relation_composition(sK51_skl,empty_set),empty_set),empty_set))=relation_dom(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))|~sQ22_spl|~sQ62_spl|~sQ20_spl),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1594,f998])).
% 26.40/3.78 fof(f2264,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))|~subset(X0,empty_set)|relation_rng(relation_composition(relation_composition(relation_composition(sK51_skl,empty_set),empty_set),identity_relation(X0)))=X0|~sQ62_spl|~sQ20_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1594,f825])).
% 26.40/3.78 fof(f2265,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))|~subset(empty_set,X0)|relation_dom(relation_composition(relation_composition(relation_composition(sK51_skl,empty_set),empty_set),identity_relation(X0)))=relation_dom(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))|~sQ62_spl|~sQ20_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1594,f808])).
% 26.40/3.78 fof(f2266,plain,(
% 26.40/3.78 ![X0]: (~relation(X0)|~relation(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(relation_composition(sK51_skl,empty_set),empty_set),X0))=relation_rng(X0)|~sQ62_spl|~sQ20_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1594,f612])).
% 26.40/3.78 fof(f2267,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))|~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(relation_composition(relation_composition(sK51_skl,empty_set),empty_set),X0))=relation_dom(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))|~sQ62_spl|~sQ20_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1594,f606])).
% 26.40/3.78 fof(f2268,plain,(
% 26.40/3.78 ![X0]: (~relation(X0)|~relation(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))|subset(relation_rng(relation_composition(X0,relation_composition(relation_composition(sK51_skl,empty_set),empty_set))),empty_set)|~sQ62_spl|~sQ20_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1594,f602])).
% 26.40/3.78 fof(f2270,definition,(
% 26.40/3.78 sQ106_spl <=> (relation(relation_composition(relation_composition(sK51_skl,empty_set),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2272,plain,(
% 26.40/3.78 ~relation(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))|sQ106_spl),
% 26.40/3.78 inference(component_clause,[status(thm)],[f2270])).
% 26.40/3.78 fof(f2273,definition,(
% 26.40/3.78 sQ107_spl <=> (relation_dom(relation_composition(relation_composition(relation_composition(sK51_skl,empty_set),empty_set),empty_set))=relation_dom(relation_composition(relation_composition(sK51_skl,empty_set),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2276,plain,(
% 26.40/3.78 ~sQ106_spl|~sQ4_spl|sQ107_spl|~sQ22_spl|~sQ62_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2263,f2270,f876,f2273,f997,f1561,f989])).
% 26.40/3.78 fof(f2277,definition,(
% 26.40/3.78 ![X0]: (sQ108_spl <=> (~subset(X0,empty_set)|relation_rng(relation_composition(relation_composition(relation_composition(sK51_skl,empty_set),empty_set),identity_relation(X0)))=X0))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2280,plain,(
% 26.40/3.78 ~sQ106_spl|sQ108_spl|~sQ62_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2264,f2270,f2277,f1561,f989])).
% 26.40/3.78 fof(f2281,definition,(
% 26.40/3.78 ![X0]: (sQ109_spl <=> (~subset(empty_set,X0)|relation_dom(relation_composition(relation_composition(relation_composition(sK51_skl,empty_set),empty_set),identity_relation(X0)))=relation_dom(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2284,plain,(
% 26.40/3.78 ~sQ106_spl|sQ109_spl|~sQ62_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2265,f2270,f2281,f1561,f989])).
% 26.40/3.78 fof(f2285,definition,(
% 26.40/3.78 ![X0]: (sQ110_spl <=> (~relation(X0)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(relation_composition(sK51_skl,empty_set),empty_set),X0))=relation_rng(X0)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2288,plain,(
% 26.40/3.78 sQ110_spl|~sQ106_spl|~sQ62_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2266,f2285,f2270,f1561,f989])).
% 26.40/3.78 fof(f2289,definition,(
% 26.40/3.78 ![X0]: (sQ111_spl <=> (~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(relation_composition(relation_composition(sK51_skl,empty_set),empty_set),X0))=relation_dom(relation_composition(relation_composition(sK51_skl,empty_set),empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2292,plain,(
% 26.40/3.78 ~sQ106_spl|sQ111_spl|~sQ62_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2267,f2270,f2289,f1561,f989])).
% 26.40/3.78 fof(f2293,definition,(
% 26.40/3.78 ![X0]: (sQ112_spl <=> (~relation(X0)|subset(relation_rng(relation_composition(X0,relation_composition(relation_composition(sK51_skl,empty_set),empty_set))),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2296,plain,(
% 26.40/3.78 sQ112_spl|~sQ106_spl|~sQ62_spl|~sQ20_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2268,f2293,f2270,f1561,f989])).
% 26.40/3.78 fof(f2299,plain,(
% 26.40/3.78 ~relation(relation_composition(sK51_skl,empty_set))|~relation(empty_set)|sQ106_spl),
% 26.40/3.78 inference(resolution,[status(thm)],[f2272,f372])).
% 26.40/3.78 fof(f2302,definition,(
% 26.40/3.78 sQ113_spl <=> (empty(relation_composition(sK51_skl,empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2304,plain,(
% 26.40/3.78 ~empty(relation_composition(sK51_skl,empty_set))|sQ113_spl),
% 26.40/3.78 inference(component_clause,[status(thm)],[f2302])).
% 26.40/3.78 fof(f2307,plain,(
% 26.40/3.78 ~sQ62_spl|~sQ19_spl|sQ106_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2299,f1561,f986,f2270])).
% 26.40/3.78 fof(f2315,plain,(
% 26.40/3.78 sK9_skl(sK51_skl)=ordered_pair(sK2_skl(sK9_skl(sK51_skl),sK51_skl),sK3_skl(sK9_skl(sK51_skl),sK51_skl))|sK51_skl=empty_set),
% 26.40/3.78 inference(resolution,[status(thm)],[f1270,f233])).
% 26.40/3.78 fof(f2318,plain,(
% 26.40/3.78 ![X0,X1,X2,X3]: (ordered_pair(sK32_skl(X0,X1,relation_composition(X2,sK51_skl),sK51_skl,X2),X0)=ordered_pair(sK2_skl(ordered_pair(sK32_skl(X0,X1,relation_composition(X2,sK51_skl),sK51_skl,X2),X0),sK51_skl),sK3_skl(ordered_pair(sK32_skl(X0,X1,relation_composition(X2,sK51_skl),sK51_skl,X2),X0),sK51_skl))|~relation(X2)|~relation(sK51_skl)|~in(ordered_pair(X1,X3),X2)|~in(ordered_pair(X3,X0),sK51_skl))),
% 26.40/3.78 inference(resolution,[status(thm)],[f1270,f960])).
% 26.40/3.78 fof(f2322,plain,(
% 26.40/3.78 ![X0,X1,X2,X3]: (ordered_pair(X0,sK32_skl(X1,X0,relation_composition(sK51_skl,X2),X2,sK51_skl))=ordered_pair(sK2_skl(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(sK51_skl,X2),X2,sK51_skl)),sK51_skl),sK3_skl(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(sK51_skl,X2),X2,sK51_skl)),sK51_skl))|~relation(sK51_skl)|~relation(X2)|~in(ordered_pair(X0,X3),sK51_skl)|~in(ordered_pair(X3,X1),X2))),
% 26.40/3.78 inference(resolution,[status(thm)],[f1270,f967])).
% 26.40/3.78 fof(f2323,definition,(
% 26.40/3.78 sQ114_spl <=> (sK9_skl(sK51_skl)=ordered_pair(sK2_skl(sK9_skl(sK51_skl),sK51_skl),sK3_skl(sK9_skl(sK51_skl),sK51_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2326,plain,(
% 26.40/3.78 sQ114_spl|sQ55_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2315,f2323,f1452])).
% 26.40/3.78 fof(f2329,definition,(
% 26.40/3.78 ![X0,X1,X2,X3]: (sQ115_spl <=> (ordered_pair(sK32_skl(X0,X1,relation_composition(X2,sK51_skl),sK51_skl,X2),X0)=ordered_pair(sK2_skl(ordered_pair(sK32_skl(X0,X1,relation_composition(X2,sK51_skl),sK51_skl,X2),X0),sK51_skl),sK3_skl(ordered_pair(sK32_skl(X0,X1,relation_composition(X2,sK51_skl),sK51_skl,X2),X0),sK51_skl))|~relation(X2)|~in(ordered_pair(X1,X3),X2)|~in(ordered_pair(X3,X0),sK51_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2332,plain,(
% 26.40/3.78 sQ115_spl|~sQ16_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2318,f2329,f953])).
% 26.40/3.78 fof(f2335,definition,(
% 26.40/3.78 ![X0,X1,X2,X3]: (sQ116_spl <=> (ordered_pair(X0,sK32_skl(X1,X0,relation_composition(sK51_skl,X2),X2,sK51_skl))=ordered_pair(sK2_skl(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(sK51_skl,X2),X2,sK51_skl)),sK51_skl),sK3_skl(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(sK51_skl,X2),X2,sK51_skl)),sK51_skl))|~relation(X2)|~in(ordered_pair(X0,X3),sK51_skl)|~in(ordered_pair(X3,X1),X2)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2338,plain,(
% 26.40/3.78 sQ116_spl|~sQ16_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2322,f2335,f953])).
% 26.40/3.78 fof(f2340,plain,(
% 26.40/3.78 ~relation(empty_set)|~relation(empty_set)|subset(empty_set,relation_dom(empty_set))|~sQ25_spl),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1977,f600])).
% 26.40/3.78 fof(f2341,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(empty_set,empty_set))|~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(empty_set,empty_set)))=relation_rng(relation_composition(empty_set,empty_set))|~sQ25_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1977,f612])).
% 26.40/3.78 fof(f2342,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(empty_set,empty_set))|~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),relation_composition(empty_set,empty_set)))=X0|~sQ25_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1977,f807])).
% 26.40/3.78 fof(f2343,plain,(
% 26.40/3.78 ![X0]: (~relation(X0)|~relation(relation_composition(empty_set,empty_set))|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(empty_set,empty_set)))=relation_dom(X0)|~sQ25_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1977,f606])).
% 26.40/3.78 fof(f2344,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(empty_set,empty_set))|~relation(X0)|subset(relation_dom(relation_composition(relation_composition(empty_set,empty_set),X0)),empty_set)|~sQ25_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f1977,f600])).
% 26.40/3.78 fof(f2346,plain,(
% 26.40/3.78 ~sQ19_spl|sQ60_spl|~sQ25_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2340,f986,f1522,f1016])).
% 26.40/3.78 fof(f2347,definition,(
% 26.40/3.78 ![X0]: (sQ117_spl <=> (~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(empty_set,empty_set)))=relation_rng(relation_composition(empty_set,empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2350,plain,(
% 26.40/3.78 ~sQ77_spl|sQ117_spl|~sQ25_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2341,f1739,f2347,f1016])).
% 26.40/3.78 fof(f2351,definition,(
% 26.40/3.78 ![X0]: (sQ118_spl <=> (~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),relation_composition(empty_set,empty_set)))=X0))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2354,plain,(
% 26.40/3.78 ~sQ77_spl|sQ118_spl|~sQ25_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2342,f1739,f2351,f1016])).
% 26.40/3.78 fof(f2355,definition,(
% 26.40/3.78 ![X0]: (sQ119_spl <=> (~relation(X0)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(empty_set,empty_set)))=relation_dom(X0)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2358,plain,(
% 26.40/3.78 sQ119_spl|~sQ77_spl|~sQ25_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2343,f2355,f1739,f1016])).
% 26.40/3.78 fof(f2359,definition,(
% 26.40/3.78 ![X0]: (sQ120_spl <=> (~relation(X0)|subset(relation_dom(relation_composition(relation_composition(empty_set,empty_set),X0)),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2362,plain,(
% 26.40/3.78 ~sQ77_spl|sQ120_spl|~sQ25_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2344,f1739,f2359,f1016])).
% 26.40/3.78 fof(f2365,plain,(
% 26.40/3.78 ![X0]: (relation_composition(empty_set,X0)=empty_set|~relation(X0))),
% 26.40/3.78 inference(resolution,[status(thm)],[f1030,f388])).
% 26.40/3.78 fof(f2368,plain,(
% 26.40/3.78 relation_composition(empty_set,sK51_skl)=empty_set),
% 26.40/3.78 inference(resolution,[status(thm)],[f2365,f668])).
% 26.40/3.78 fof(f2370,plain,(
% 26.40/3.78 relation_composition(empty_set,sK42_skl)=empty_set),
% 26.40/3.78 inference(resolution,[status(thm)],[f2365,f476])).
% 26.40/3.78 fof(f2371,plain,(
% 26.40/3.78 relation_composition(empty_set,empty_set)=empty_set),
% 26.40/3.78 inference(resolution,[status(thm)],[f2365,f401])).
% 26.40/3.78 fof(f2376,plain,(
% 26.40/3.78 relation_composition(empty_set,relation_composition(sK51_skl,empty_set))=empty_set|~sQ62_spl),
% 26.40/3.78 inference(resolution,[status(thm)],[f2365,f1562])).
% 26.40/3.78 fof(f2377,plain,(
% 26.40/3.78 relation_composition(empty_set,relation_composition(identity_relation(empty_set),sK51_skl))=empty_set|~sQ29_spl),
% 26.40/3.78 inference(resolution,[status(thm)],[f2365,f1086])).
% 26.40/3.78 fof(f2383,plain,(
% 26.40/3.78 ![X0]: (relation_composition(empty_set,identity_relation(X0))=empty_set)),
% 26.40/3.78 inference(resolution,[status(thm)],[f2365,f375])).
% 26.40/3.78 fof(f2470,definition,(
% 26.40/3.78 ![X0]: (sQ121_spl <=> (~relation(relation_composition(empty_set,identity_relation(X0)))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2471,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(empty_set,identity_relation(X0)))|~sQ121_spl)),
% 26.40/3.78 inference(component_clause,[status(thm)],[f2470])).
% 26.40/3.78 fof(f2480,plain,(
% 26.40/3.78 ~relation(sK51_skl)|subset(relation_dom(empty_set),empty_set)|~sQ23_spl),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2368,f1002])).
% 26.40/3.78 fof(f2481,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(sK51_skl)|in(ordered_pair(X0,sK32_skl(X1,X0,empty_set,sK51_skl,empty_set)),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),sK51_skl))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2368,f967])).
% 26.40/3.78 fof(f2482,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(sK51_skl)|in(ordered_pair(sK32_skl(X0,X1,empty_set,sK51_skl,empty_set),X0),sK51_skl)|~in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X2,X0),sK51_skl))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2368,f960])).
% 26.40/3.78 fof(f2483,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(sK51_skl)|~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),sK51_skl)|~in(empty_set,ordered_pair(X0,X2)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2368,f828])).
% 26.40/3.78 fof(f2484,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(sK51_skl)|~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),sK51_skl)|in(ordered_pair(ordered_pair(X0,X2),ordered_pair(X0,X2)),identity_relation(empty_set)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2368,f827])).
% 26.40/3.78 fof(f2485,plain,(
% 26.40/3.78 ![X0,X1]: (~relation(empty_set)|~relation(sK51_skl)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(empty_set,sK51_skl),sK51_skl,empty_set)),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2368,f769])).
% 26.40/3.78 fof(f2486,plain,(
% 26.40/3.78 ![X0,X1]: (~relation(empty_set)|~relation(sK51_skl)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sK32_skl(X1,X0,relation_composition(empty_set,sK51_skl),sK51_skl,empty_set),X1),sK51_skl))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2368,f768])).
% 26.40/3.78 fof(f2487,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(sK51_skl)|in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),sK51_skl))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2368,f767])).
% 26.40/3.78 fof(f2488,plain,(
% 26.40/3.78 ~relation(empty_set)|~relation(sK51_skl)|subset(relation_rng(empty_set),relation_rng(sK51_skl))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2368,f602])).
% 26.40/3.78 fof(f2495,definition,(
% 26.40/3.78 sQ122_spl <=> (subset(relation_dom(empty_set),empty_set))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2498,plain,(
% 26.40/3.78 ~sQ16_spl|sQ122_spl|~sQ23_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2480,f953,f2495,f1001])).
% 26.40/3.78 fof(f2499,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ123_spl <=> (in(ordered_pair(X0,sK32_skl(X1,X0,empty_set,sK51_skl,empty_set)),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),sK51_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2502,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ16_spl|sQ123_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2481,f986,f953,f2499])).
% 26.40/3.78 fof(f2503,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ124_spl <=> (in(ordered_pair(sK32_skl(X0,X1,empty_set,sK51_skl,empty_set),X0),sK51_skl)|~in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X2,X0),sK51_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2506,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ16_spl|sQ124_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2482,f986,f953,f2503])).
% 26.40/3.78 fof(f2507,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ125_spl <=> (~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),sK51_skl)|~in(empty_set,ordered_pair(X0,X2))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2510,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ16_spl|sQ125_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2483,f986,f953,f2507])).
% 26.40/3.78 fof(f2511,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ126_spl <=> (~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),sK51_skl)|in(ordered_pair(ordered_pair(X0,X2),ordered_pair(X0,X2)),identity_relation(empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2514,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ16_spl|sQ126_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2484,f986,f953,f2511])).
% 26.40/3.78 fof(f2515,definition,(
% 26.40/3.78 ![X0,X1]: (sQ127_spl <=> (~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(empty_set,sK51_skl),sK51_skl,empty_set)),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2518,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ16_spl|sQ127_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2485,f986,f953,f2515])).
% 26.40/3.78 fof(f2519,definition,(
% 26.40/3.78 ![X0,X1]: (sQ128_spl <=> (~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sK32_skl(X1,X0,relation_composition(empty_set,sK51_skl),sK51_skl,empty_set),X1),sK51_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2522,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ16_spl|sQ128_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2486,f986,f953,f2519])).
% 26.40/3.78 fof(f2523,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ129_spl <=> (in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),sK51_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2526,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ16_spl|sQ129_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2487,f986,f953,f2523])).
% 26.40/3.78 fof(f2527,definition,(
% 26.40/3.78 sQ130_spl <=> (subset(relation_rng(empty_set),relation_rng(sK51_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2530,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ16_spl|sQ130_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2488,f986,f953,f2527])).
% 26.40/3.78 fof(f2531,definition,(
% 26.40/3.78 sQ131_spl <=> (subset(relation_dom(empty_set),relation_dom(empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2547,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(sK42_skl)|in(ordered_pair(X0,sK32_skl(X1,X0,empty_set,sK42_skl,empty_set)),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),sK42_skl))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2370,f967])).
% 26.40/3.78 fof(f2548,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(sK42_skl)|in(ordered_pair(sK32_skl(X0,X1,empty_set,sK42_skl,empty_set),X0),sK42_skl)|~in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X2,X0),sK42_skl))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2370,f960])).
% 26.40/3.78 fof(f2549,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(sK42_skl)|~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),sK42_skl)|~in(empty_set,ordered_pair(X0,X2)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2370,f828])).
% 26.40/3.78 fof(f2550,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(sK42_skl)|~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),sK42_skl)|in(ordered_pair(ordered_pair(X0,X2),ordered_pair(X0,X2)),identity_relation(empty_set)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2370,f827])).
% 26.40/3.78 fof(f2551,plain,(
% 26.40/3.78 ![X0,X1]: (~relation(empty_set)|~relation(sK42_skl)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(empty_set,sK42_skl),sK42_skl,empty_set)),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2370,f769])).
% 26.40/3.78 fof(f2552,plain,(
% 26.40/3.78 ![X0,X1]: (~relation(empty_set)|~relation(sK42_skl)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sK32_skl(X1,X0,relation_composition(empty_set,sK42_skl),sK42_skl,empty_set),X1),sK42_skl))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2370,f768])).
% 26.40/3.78 fof(f2553,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(sK42_skl)|in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),sK42_skl))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2370,f767])).
% 26.40/3.78 fof(f2554,plain,(
% 26.40/3.78 ~relation(empty_set)|~relation(sK42_skl)|subset(relation_rng(empty_set),relation_rng(sK42_skl))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2370,f602])).
% 26.40/3.78 fof(f2562,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ132_spl <=> (in(ordered_pair(X0,sK32_skl(X1,X0,empty_set,sK42_skl,empty_set)),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),sK42_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2565,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ7_spl|sQ132_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2547,f986,f908,f2562])).
% 26.40/3.78 fof(f2566,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ133_spl <=> (in(ordered_pair(sK32_skl(X0,X1,empty_set,sK42_skl,empty_set),X0),sK42_skl)|~in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X2,X0),sK42_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2569,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ7_spl|sQ133_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2548,f986,f908,f2566])).
% 26.40/3.78 fof(f2570,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ134_spl <=> (~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),sK42_skl)|~in(empty_set,ordered_pair(X0,X2))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2573,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ7_spl|sQ134_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2549,f986,f908,f2570])).
% 26.40/3.78 fof(f2574,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ135_spl <=> (~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),sK42_skl)|in(ordered_pair(ordered_pair(X0,X2),ordered_pair(X0,X2)),identity_relation(empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2577,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ7_spl|sQ135_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2550,f986,f908,f2574])).
% 26.40/3.78 fof(f2578,definition,(
% 26.40/3.78 ![X0,X1]: (sQ136_spl <=> (~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(empty_set,sK42_skl),sK42_skl,empty_set)),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2581,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ7_spl|sQ136_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2551,f986,f908,f2578])).
% 26.40/3.78 fof(f2582,definition,(
% 26.40/3.78 ![X0,X1]: (sQ137_spl <=> (~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sK32_skl(X1,X0,relation_composition(empty_set,sK42_skl),sK42_skl,empty_set),X1),sK42_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2585,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ7_spl|sQ137_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2552,f986,f908,f2582])).
% 26.40/3.78 fof(f2586,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ138_spl <=> (in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),sK42_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2589,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ7_spl|sQ138_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2553,f986,f908,f2586])).
% 26.40/3.78 fof(f2590,definition,(
% 26.40/3.78 sQ139_spl <=> (subset(relation_rng(empty_set),relation_rng(sK42_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2593,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ7_spl|sQ139_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2554,f986,f908,f2590])).
% 26.40/3.78 fof(f2604,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,empty_set,empty_set,empty_set)),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2371,f967])).
% 26.40/3.78 fof(f2605,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(empty_set)|in(ordered_pair(sK32_skl(X0,X1,empty_set,empty_set,empty_set),X0),empty_set)|~in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X2,X0),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2371,f960])).
% 26.40/3.78 fof(f2606,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(empty_set)|~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),empty_set)|~in(empty_set,ordered_pair(X0,X2)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2371,f828])).
% 26.40/3.78 fof(f2607,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(empty_set)|~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(ordered_pair(X0,X2),ordered_pair(X0,X2)),identity_relation(empty_set)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2371,f827])).
% 26.40/3.78 fof(f2608,plain,(
% 26.40/3.78 ![X0,X1]: (~relation(empty_set)|~relation(empty_set)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(empty_set,empty_set),empty_set,empty_set)),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2371,f769])).
% 26.40/3.78 fof(f2609,plain,(
% 26.40/3.78 ![X0,X1]: (~relation(empty_set)|~relation(empty_set)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sK32_skl(X1,X0,relation_composition(empty_set,empty_set),empty_set,empty_set),X1),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2371,f768])).
% 26.40/3.78 fof(f2610,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(empty_set)|in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2371,f767])).
% 26.40/3.78 fof(f2612,plain,(
% 26.40/3.78 ~relation(empty_set)|~relation(empty_set)|subset(relation_dom(empty_set),relation_dom(empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2371,f600])).
% 26.40/3.78 fof(f2619,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ140_spl <=> (in(ordered_pair(X0,sK32_skl(X1,X0,empty_set,empty_set,empty_set)),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2622,plain,(
% 26.40/3.78 ~sQ19_spl|sQ140_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2604,f986,f2619])).
% 26.40/3.78 fof(f2623,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ141_spl <=> (in(ordered_pair(sK32_skl(X0,X1,empty_set,empty_set,empty_set),X0),empty_set)|~in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X2,X0),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2626,plain,(
% 26.40/3.78 ~sQ19_spl|sQ141_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2605,f986,f2623])).
% 26.40/3.78 fof(f2627,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ142_spl <=> (~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),empty_set)|~in(empty_set,ordered_pair(X0,X2))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2630,plain,(
% 26.40/3.78 ~sQ19_spl|sQ142_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2606,f986,f2627])).
% 26.40/3.78 fof(f2631,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ143_spl <=> (~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(ordered_pair(X0,X2),ordered_pair(X0,X2)),identity_relation(empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2634,plain,(
% 26.40/3.78 ~sQ19_spl|sQ143_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2607,f986,f2631])).
% 26.40/3.78 fof(f2635,definition,(
% 26.40/3.78 ![X0,X1]: (sQ144_spl <=> (~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(empty_set,empty_set),empty_set,empty_set)),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2638,plain,(
% 26.40/3.78 ~sQ19_spl|sQ144_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2608,f986,f2635])).
% 26.40/3.78 fof(f2639,definition,(
% 26.40/3.78 ![X0,X1]: (sQ145_spl <=> (~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sK32_skl(X1,X0,relation_composition(empty_set,empty_set),empty_set,empty_set),X1),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2642,plain,(
% 26.40/3.78 ~sQ19_spl|sQ145_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2609,f986,f2639])).
% 26.40/3.78 fof(f2643,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ146_spl <=> (in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2646,plain,(
% 26.40/3.78 ~sQ19_spl|sQ146_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2610,f986,f2643])).
% 26.40/3.78 fof(f2647,definition,(
% 26.40/3.78 sQ147_spl <=> (subset(relation_rng(empty_set),relation_rng(empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2651,plain,(
% 26.40/3.78 ~sQ19_spl|sQ131_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2612,f986,f2531])).
% 26.40/3.78 fof(f2662,plain,(
% 26.40/3.78 ![X0]: (~relation(empty_set)|subset(relation_rng(empty_set),X0))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2383,f802])).
% 26.40/3.78 fof(f2663,plain,(
% 26.40/3.78 ![X0,X1,X2,X3]: (~relation(empty_set)|~relation(identity_relation(X0))|in(ordered_pair(X1,sK32_skl(X2,X1,empty_set,identity_relation(X0),empty_set)),empty_set)|~in(ordered_pair(X1,X3),empty_set)|~in(ordered_pair(X3,X2),identity_relation(X0)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2383,f967])).
% 26.40/3.78 fof(f2664,plain,(
% 26.40/3.78 ![X0,X1,X2,X3]: (~relation(empty_set)|~relation(identity_relation(X0))|in(ordered_pair(sK32_skl(X1,X2,empty_set,identity_relation(X0),empty_set),X1),identity_relation(X0))|~in(ordered_pair(X2,X3),empty_set)|~in(ordered_pair(X3,X1),identity_relation(X0)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2383,f960])).
% 26.40/3.78 fof(f2665,plain,(
% 26.40/3.78 ![X0,X1,X2,X3]: (~relation(empty_set)|~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X2,X3),identity_relation(X0))|~in(empty_set,ordered_pair(X1,X3)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2383,f828])).
% 26.40/3.78 fof(f2666,plain,(
% 26.40/3.78 ![X0,X1,X2,X3]: (~relation(empty_set)|~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X2,X3),identity_relation(X0))|in(ordered_pair(ordered_pair(X1,X3),ordered_pair(X1,X3)),identity_relation(empty_set)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2383,f827])).
% 26.40/3.78 fof(f2667,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(X1,sK32_skl(X2,X1,relation_composition(empty_set,identity_relation(X0)),identity_relation(X0),empty_set)),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2383,f769])).
% 26.40/3.78 fof(f2668,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(sK32_skl(X2,X1,relation_composition(empty_set,identity_relation(X0)),identity_relation(X0),empty_set),X2),identity_relation(X0)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2383,f768])).
% 26.40/3.78 fof(f2669,plain,(
% 26.40/3.78 ![X0,X1,X2,X3]: (~relation(empty_set)|~relation(identity_relation(X0))|in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X1,X3),empty_set)|~in(ordered_pair(X3,X2),identity_relation(X0)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2383,f767])).
% 26.40/3.78 fof(f2670,plain,(
% 26.40/3.78 ![X0]: (~relation(empty_set)|~relation(identity_relation(X0))|subset(relation_rng(empty_set),relation_rng(identity_relation(X0))))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2383,f602])).
% 26.40/3.78 fof(f2678,definition,(
% 26.40/3.78 ![X0]: (sQ148_spl <=> (subset(relation_rng(empty_set),X0)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2681,plain,(
% 26.40/3.78 ~sQ19_spl|sQ148_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2662,f986,f2678])).
% 26.40/3.78 fof(f2682,definition,(
% 26.40/3.78 ![X0,X1,X2,X3]: (sQ149_spl <=> (~relation(identity_relation(X0))|in(ordered_pair(X1,sK32_skl(X2,X1,empty_set,identity_relation(X0),empty_set)),empty_set)|~in(ordered_pair(X1,X3),empty_set)|~in(ordered_pair(X3,X2),identity_relation(X0))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2685,plain,(
% 26.40/3.78 ~sQ19_spl|sQ149_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2663,f986,f2682])).
% 26.40/3.78 fof(f2686,definition,(
% 26.40/3.78 ![X0,X1,X2,X3]: (sQ150_spl <=> (~relation(identity_relation(X0))|in(ordered_pair(sK32_skl(X1,X2,empty_set,identity_relation(X0),empty_set),X1),identity_relation(X0))|~in(ordered_pair(X2,X3),empty_set)|~in(ordered_pair(X3,X1),identity_relation(X0))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2689,plain,(
% 26.40/3.78 ~sQ19_spl|sQ150_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2664,f986,f2686])).
% 26.40/3.78 fof(f2690,definition,(
% 26.40/3.78 ![X0,X1,X2,X3]: (sQ151_spl <=> (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X2,X3),identity_relation(X0))|~in(empty_set,ordered_pair(X1,X3))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2693,plain,(
% 26.40/3.78 ~sQ19_spl|sQ151_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2665,f986,f2690])).
% 26.40/3.78 fof(f2694,definition,(
% 26.40/3.78 ![X0,X1,X2,X3]: (sQ152_spl <=> (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X2,X3),identity_relation(X0))|in(ordered_pair(ordered_pair(X1,X3),ordered_pair(X1,X3)),identity_relation(empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2697,plain,(
% 26.40/3.78 ~sQ19_spl|sQ152_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2666,f986,f2694])).
% 26.40/3.78 fof(f2698,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ153_spl <=> (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(X1,sK32_skl(X2,X1,relation_composition(empty_set,identity_relation(X0)),identity_relation(X0),empty_set)),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2701,plain,(
% 26.40/3.78 ~sQ19_spl|sQ153_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2667,f986,f2698])).
% 26.40/3.78 fof(f2702,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ154_spl <=> (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(sK32_skl(X2,X1,relation_composition(empty_set,identity_relation(X0)),identity_relation(X0),empty_set),X2),identity_relation(X0))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2705,plain,(
% 26.40/3.78 ~sQ19_spl|sQ154_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2668,f986,f2702])).
% 26.40/3.78 fof(f2706,definition,(
% 26.40/3.78 ![X0,X1,X2,X3]: (sQ155_spl <=> (~relation(identity_relation(X0))|in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X1,X3),empty_set)|~in(ordered_pair(X3,X2),identity_relation(X0))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2709,plain,(
% 26.40/3.78 ~sQ19_spl|sQ155_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2669,f986,f2706])).
% 26.40/3.78 fof(f2710,definition,(
% 26.40/3.78 ![X0]: (sQ156_spl <=> (~relation(identity_relation(X0))|subset(relation_rng(empty_set),relation_rng(identity_relation(X0)))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2713,plain,(
% 26.40/3.78 ~sQ19_spl|sQ156_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2670,f986,f2710])).
% 26.40/3.78 fof(f2734,plain,(
% 26.40/3.78 ~relation(relation_composition(identity_relation(empty_set),sK51_skl))|~subset(empty_set,empty_set)|relation_rng(relation_composition(empty_set,relation_composition(identity_relation(empty_set),sK51_skl)))=relation_rng(relation_composition(identity_relation(empty_set),sK51_skl))|~sQ24_spl),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f900,f1013])).
% 26.40/3.78 fof(f2735,plain,(
% 26.40/3.78 ~relation(relation_composition(identity_relation(empty_set),empty_set))|~subset(empty_set,empty_set)|relation_rng(relation_composition(empty_set,relation_composition(identity_relation(empty_set),empty_set)))=relation_rng(relation_composition(identity_relation(empty_set),empty_set))|~sQ24_spl),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f895,f1013])).
% 26.40/3.78 fof(f2736,plain,(
% 26.40/3.78 ~relation(relation_composition(identity_relation(empty_set),sK42_skl))|~subset(empty_set,empty_set)|relation_rng(relation_composition(empty_set,relation_composition(identity_relation(empty_set),sK42_skl)))=relation_rng(relation_composition(identity_relation(empty_set),sK42_skl))|~sQ24_spl),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f893,f1013])).
% 26.40/3.78 fof(f2737,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(identity_relation(empty_set),identity_relation(X0)))|~subset(empty_set,empty_set)|relation_rng(relation_composition(empty_set,relation_composition(identity_relation(empty_set),identity_relation(X0))))=relation_rng(relation_composition(identity_relation(empty_set),identity_relation(X0)))|~sQ24_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f830,f1013])).
% 26.40/3.78 fof(f2740,definition,(
% 26.40/3.78 sQ158_spl <=> (relation_rng(relation_composition(empty_set,empty_set))=relation_rng(empty_set))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2744,definition,(
% 26.40/3.78 sQ159_spl <=> (relation_rng(relation_composition(empty_set,relation_composition(identity_relation(empty_set),sK51_skl)))=relation_rng(relation_composition(identity_relation(empty_set),sK51_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2745,plain,(
% 26.40/3.78 relation_rng(relation_composition(empty_set,relation_composition(identity_relation(empty_set),sK51_skl)))=relation_rng(relation_composition(identity_relation(empty_set),sK51_skl))|~sQ159_spl),
% 26.40/3.78 inference(component_clause,[status(thm)],[f2744])).
% 26.40/3.78 fof(f2747,plain,(
% 26.40/3.78 ~sQ29_spl|~sQ4_spl|sQ159_spl|~sQ24_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2734,f1085,f876,f2744,f1012])).
% 26.40/3.78 fof(f2748,definition,(
% 26.40/3.78 sQ160_spl <=> (relation_rng(relation_composition(empty_set,relation_composition(identity_relation(empty_set),empty_set)))=relation_rng(relation_composition(identity_relation(empty_set),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2751,plain,(
% 26.40/3.78 ~sQ40_spl|~sQ4_spl|sQ160_spl|~sQ24_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2735,f1162,f876,f2748,f1012])).
% 26.40/3.78 fof(f2752,definition,(
% 26.40/3.78 sQ161_spl <=> (relation_rng(relation_composition(empty_set,relation_composition(identity_relation(empty_set),sK42_skl)))=relation_rng(relation_composition(identity_relation(empty_set),sK42_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2755,plain,(
% 26.40/3.78 ~sQ8_spl|~sQ4_spl|sQ161_spl|~sQ24_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2736,f913,f876,f2752,f1012])).
% 26.40/3.78 fof(f2756,definition,(
% 26.40/3.78 ![X0]: (sQ162_spl <=> (~relation(relation_composition(identity_relation(empty_set),identity_relation(X0)))|relation_rng(relation_composition(empty_set,relation_composition(identity_relation(empty_set),identity_relation(X0))))=relation_rng(relation_composition(identity_relation(empty_set),identity_relation(X0)))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2759,plain,(
% 26.40/3.78 sQ162_spl|~sQ4_spl|~sQ24_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2737,f2756,f876,f1012])).
% 26.40/3.78 fof(f2763,plain,(
% 26.40/3.78 relation_rng(empty_set)=relation_rng(relation_composition(identity_relation(empty_set),sK51_skl))|~sQ29_spl|~sQ159_spl),
% 26.40/3.78 inference(forward_demodulation,[status(thm)],[f2377,f2745])).
% 26.40/3.78 fof(f2768,plain,(
% 26.40/3.78 empty_set=relation_rng(relation_composition(identity_relation(empty_set),sK51_skl))|~sQ29_spl|~sQ159_spl),
% 26.40/3.78 inference(forward_demodulation,[status(thm)],[f639,f2763])).
% 26.40/3.78 fof(f2787,plain,(
% 26.40/3.78 ~relation(empty_set)|subset(relation_rng(empty_set),empty_set)|~sQ26_spl),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2371,f1021])).
% 26.40/3.78 fof(f2795,definition,(
% 26.40/3.78 sQ163_spl <=> (subset(relation_rng(empty_set),empty_set))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2798,plain,(
% 26.40/3.78 ~sQ19_spl|sQ163_spl|~sQ26_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2787,f986,f2795,f1020])).
% 26.40/3.78 fof(f2839,plain,(
% 26.40/3.78 empty(identity_relation(sK54_skl))|in(ordered_pair(sK52_skl,sK52_skl),identity_relation(sK54_skl))|~sQ1_spl),
% 26.40/3.78 inference(resolution,[status(thm)],[f244,f1941])).
% 26.40/3.78 fof(f2846,plain,(
% 26.40/3.78 ![X0]: (empty(X0)|in(sK37_skl(X0),X0))),
% 26.40/3.78 inference(resolution,[status(thm)],[f244,f383])).
% 26.40/3.78 fof(f2853,definition,(
% 26.40/3.78 sQ164_spl <=> (empty(identity_relation(sK54_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2854,plain,(
% 26.40/3.78 empty(identity_relation(sK54_skl))|~sQ164_spl),
% 26.40/3.78 inference(component_clause,[status(thm)],[f2853])).
% 26.40/3.78 fof(f2856,definition,(
% 26.40/3.78 sQ165_spl <=> (in(ordered_pair(sK52_skl,sK52_skl),identity_relation(sK54_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2857,plain,(
% 26.40/3.78 in(ordered_pair(sK52_skl,sK52_skl),identity_relation(sK54_skl))|~sQ165_spl),
% 26.40/3.78 inference(component_clause,[status(thm)],[f2856])).
% 26.40/3.78 fof(f2859,plain,(
% 26.40/3.78 sQ164_spl|sQ165_spl|~sQ1_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2839,f2853,f2856,f711])).
% 26.40/3.78 fof(f2865,plain,(
% 26.40/3.78 ![X0]: (~element(X0,empty_set)|empty(X0))),
% 26.40/3.78 inference(resolution,[status(thm)],[f246,f388])).
% 26.40/3.78 fof(f2881,plain,(
% 26.40/3.78 ![X0]: (~in(X0,identity_relation(sK54_skl))|~sQ164_spl)),
% 26.40/3.78 inference(resolution,[status(thm)],[f2854,f674])).
% 26.40/3.78 fof(f2882,plain,(
% 26.40/3.78 identity_relation(sK54_skl)=empty_set|~sQ164_spl),
% 26.40/3.78 inference(resolution,[status(thm)],[f2854,f658])).
% 26.40/3.78 fof(f2887,plain,(
% 26.40/3.78 $false|~sQ164_spl|~sQ1_spl),
% 26.40/3.78 inference(backward_subsumption_resolution,[status(thm)],[f1316,f2881])).
% 26.40/3.78 fof(f2888,plain,(
% 26.40/3.78 sQ89_spl|~sQ164_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2882,f1944,f2853])).
% 26.40/3.78 fof(f2889,plain,(
% 26.40/3.78 ~sQ164_spl|~sQ1_spl),
% 26.40/3.78 inference(contradiction_clause,[status(thm)],[f2887])).
% 26.40/3.78 fof(f2901,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(relation_composition(sK51_skl,empty_set))|in(ordered_pair(X0,sK32_skl(X1,X0,empty_set,relation_composition(sK51_skl,empty_set),empty_set)),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),relation_composition(sK51_skl,empty_set))|~sQ62_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2376,f967])).
% 26.40/3.78 fof(f2902,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(relation_composition(sK51_skl,empty_set))|in(ordered_pair(sK32_skl(X0,X1,empty_set,relation_composition(sK51_skl,empty_set),empty_set),X0),relation_composition(sK51_skl,empty_set))|~in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X2,X0),relation_composition(sK51_skl,empty_set))|~sQ62_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2376,f960])).
% 26.40/3.78 fof(f2903,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(relation_composition(sK51_skl,empty_set))|~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),relation_composition(sK51_skl,empty_set))|~in(empty_set,ordered_pair(X0,X2))|~sQ62_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2376,f828])).
% 26.40/3.78 fof(f2904,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(relation_composition(sK51_skl,empty_set))|~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),relation_composition(sK51_skl,empty_set))|in(ordered_pair(ordered_pair(X0,X2),ordered_pair(X0,X2)),identity_relation(empty_set))|~sQ62_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2376,f827])).
% 26.40/3.78 fof(f2905,plain,(
% 26.40/3.78 ![X0,X1]: (~relation(empty_set)|~relation(relation_composition(sK51_skl,empty_set))|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(empty_set,relation_composition(sK51_skl,empty_set)),relation_composition(sK51_skl,empty_set),empty_set)),empty_set)|~sQ62_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2376,f769])).
% 26.40/3.78 fof(f2906,plain,(
% 26.40/3.78 ![X0,X1]: (~relation(empty_set)|~relation(relation_composition(sK51_skl,empty_set))|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sK32_skl(X1,X0,relation_composition(empty_set,relation_composition(sK51_skl,empty_set)),relation_composition(sK51_skl,empty_set),empty_set),X1),relation_composition(sK51_skl,empty_set))|~sQ62_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2376,f768])).
% 26.40/3.78 fof(f2907,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(empty_set)|~relation(relation_composition(sK51_skl,empty_set))|in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),relation_composition(sK51_skl,empty_set))|~sQ62_spl)),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2376,f767])).
% 26.40/3.78 fof(f2908,plain,(
% 26.40/3.78 ~relation(empty_set)|~relation(relation_composition(sK51_skl,empty_set))|subset(relation_rng(empty_set),relation_rng(relation_composition(sK51_skl,empty_set)))|~sQ62_spl),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2376,f602])).
% 26.40/3.78 fof(f2913,plain,(
% 26.40/3.78 ~empty(relation_composition(sK51_skl,empty_set))|~relation(empty_set)|empty(empty_set)|~sQ62_spl),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2376,f385])).
% 26.40/3.78 fof(f2916,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ167_spl <=> (in(ordered_pair(X0,sK32_skl(X1,X0,empty_set,relation_composition(sK51_skl,empty_set),empty_set)),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),relation_composition(sK51_skl,empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2919,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ62_spl|sQ167_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2901,f986,f1561,f2916])).
% 26.40/3.78 fof(f2920,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ168_spl <=> (in(ordered_pair(sK32_skl(X0,X1,empty_set,relation_composition(sK51_skl,empty_set),empty_set),X0),relation_composition(sK51_skl,empty_set))|~in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X2,X0),relation_composition(sK51_skl,empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2923,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ62_spl|sQ168_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2902,f986,f1561,f2920])).
% 26.40/3.78 fof(f2924,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ169_spl <=> (~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),relation_composition(sK51_skl,empty_set))|~in(empty_set,ordered_pair(X0,X2))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2927,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ62_spl|sQ169_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2903,f986,f1561,f2924])).
% 26.40/3.78 fof(f2928,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ170_spl <=> (~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),relation_composition(sK51_skl,empty_set))|in(ordered_pair(ordered_pair(X0,X2),ordered_pair(X0,X2)),identity_relation(empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2931,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ62_spl|sQ170_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2904,f986,f1561,f2928])).
% 26.40/3.78 fof(f2932,definition,(
% 26.40/3.78 ![X0,X1]: (sQ171_spl <=> (~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(empty_set,relation_composition(sK51_skl,empty_set)),relation_composition(sK51_skl,empty_set),empty_set)),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2935,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ62_spl|sQ171_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2905,f986,f1561,f2932])).
% 26.40/3.78 fof(f2936,definition,(
% 26.40/3.78 ![X0,X1]: (sQ172_spl <=> (~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sK32_skl(X1,X0,relation_composition(empty_set,relation_composition(sK51_skl,empty_set)),relation_composition(sK51_skl,empty_set),empty_set),X1),relation_composition(sK51_skl,empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2939,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ62_spl|sQ172_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2906,f986,f1561,f2936])).
% 26.40/3.78 fof(f2940,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ173_spl <=> (in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),relation_composition(sK51_skl,empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2943,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ62_spl|sQ173_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2907,f986,f1561,f2940])).
% 26.40/3.78 fof(f2944,definition,(
% 26.40/3.78 sQ174_spl <=> (subset(relation_rng(empty_set),relation_rng(relation_composition(sK51_skl,empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2947,plain,(
% 26.40/3.78 ~sQ19_spl|~sQ62_spl|sQ174_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2908,f986,f1561,f2944])).
% 26.40/3.78 fof(f2952,plain,(
% 26.40/3.78 ~sQ113_spl|~sQ19_spl|sQ51_spl|~sQ62_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2913,f2302,f986,f1327,f1561])).
% 26.40/3.78 fof(f2960,plain,(
% 26.40/3.78 ![X0]: (identity_relation(sK51_skl)=empty_set|X0=set_meet(identity_relation(sK51_skl))|in(sK6_skl(X0,identity_relation(sK51_skl)),X0)|in(sK6_skl(X0,identity_relation(sK51_skl)),ordered_pair(ordered_pair(sK52_skl,sK53_skl),ordered_pair(sK52_skl,sK53_skl)))|~sQ2_spl)),
% 26.40/3.78 inference(resolution,[status(thm)],[f1334,f219])).
% 26.40/3.78 fof(f2964,definition,(
% 26.40/3.78 sQ175_spl <=> (identity_relation(sK51_skl)=empty_set)),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2965,plain,(
% 26.40/3.78 identity_relation(sK51_skl)=empty_set|~sQ175_spl),
% 26.40/3.78 inference(component_clause,[status(thm)],[f2964])).
% 26.40/3.78 fof(f2967,definition,(
% 26.40/3.78 ![X0]: (sQ176_spl <=> (X0=set_meet(identity_relation(sK51_skl))|in(sK6_skl(X0,identity_relation(sK51_skl)),X0)|in(sK6_skl(X0,identity_relation(sK51_skl)),ordered_pair(ordered_pair(sK52_skl,sK53_skl),ordered_pair(sK52_skl,sK53_skl)))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f2970,plain,(
% 26.40/3.78 sQ175_spl|sQ176_spl|~sQ2_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f2960,f2964,f2967,f715])).
% 26.40/3.78 fof(f2971,plain,(
% 26.40/3.78 in(ordered_pair(ordered_pair(sK52_skl,sK53_skl),ordered_pair(sK52_skl,sK53_skl)),empty_set)|~sQ175_spl|~sQ2_spl),
% 26.40/3.78 inference(backward_demodulation,[status(thm)],[f2965,f1334])).
% 26.40/3.78 fof(f2976,plain,(
% 26.40/3.78 $false|~sQ175_spl|~sQ2_spl),
% 26.40/3.78 inference(forward_subsumption_resolution,[status(thm)],[f2971,f732])).
% 26.40/3.78 fof(f2977,plain,(
% 26.40/3.78 ~sQ175_spl|~sQ2_spl),
% 26.40/3.78 inference(contradiction_clause,[status(thm)],[f2976])).
% 26.40/3.78 fof(f2988,plain,(
% 26.40/3.78 ![X0]: (relation_composition(X0,empty_set)=empty_set|~relation(X0))),
% 26.40/3.78 inference(resolution,[status(thm)],[f1031,f388])).
% 26.40/3.78 fof(f2991,plain,(
% 26.40/3.78 relation_composition(sK51_skl,empty_set)=empty_set),
% 26.40/3.78 inference(resolution,[status(thm)],[f2988,f668])).
% 26.40/3.78 fof(f2993,plain,(
% 26.40/3.78 relation_composition(sK42_skl,empty_set)=empty_set),
% 26.40/3.78 inference(resolution,[status(thm)],[f2988,f476])).
% 26.40/3.78 fof(f3004,plain,(
% 26.40/3.78 ![X0]: (relation_composition(identity_relation(X0),empty_set)=empty_set)),
% 26.40/3.78 inference(resolution,[status(thm)],[f2988,f375])).
% 26.40/3.78 fof(f3139,definition,(
% 26.40/3.78 ![X1]: (sQ177_spl <=> (~relation(relation_composition(identity_relation(X1),empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f3140,plain,(
% 26.40/3.78 ![X0]: (~relation(relation_composition(identity_relation(X0),empty_set))|~sQ177_spl)),
% 26.40/3.78 inference(component_clause,[status(thm)],[f3139])).
% 26.40/3.78 fof(f3152,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(sK51_skl)|~relation(empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,empty_set,empty_set,sK51_skl)),sK51_skl)|~in(ordered_pair(X0,X2),sK51_skl)|~in(ordered_pair(X2,X1),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2991,f967])).
% 26.40/3.78 fof(f3153,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(sK51_skl)|~relation(empty_set)|in(ordered_pair(sK32_skl(X0,X1,empty_set,empty_set,sK51_skl),X0),empty_set)|~in(ordered_pair(X1,X2),sK51_skl)|~in(ordered_pair(X2,X0),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2991,f960])).
% 26.40/3.78 fof(f3154,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(sK51_skl)|~relation(empty_set)|~in(ordered_pair(X0,X1),sK51_skl)|~in(ordered_pair(X1,X2),empty_set)|~in(empty_set,ordered_pair(X0,X2)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2991,f828])).
% 26.40/3.78 fof(f3155,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(sK51_skl)|~relation(empty_set)|~in(ordered_pair(X0,X1),sK51_skl)|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(ordered_pair(X0,X2),ordered_pair(X0,X2)),identity_relation(empty_set)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2991,f827])).
% 26.40/3.78 fof(f3156,plain,(
% 26.40/3.78 ![X0,X1]: (~relation(sK51_skl)|~relation(empty_set)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(sK51_skl,empty_set),empty_set,sK51_skl)),sK51_skl))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2991,f769])).
% 26.40/3.78 fof(f3157,plain,(
% 26.40/3.78 ![X0,X1]: (~relation(sK51_skl)|~relation(empty_set)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sK32_skl(X1,X0,relation_composition(sK51_skl,empty_set),empty_set,sK51_skl),X1),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2991,f768])).
% 26.40/3.78 fof(f3158,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(sK51_skl)|~relation(empty_set)|in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),sK51_skl)|~in(ordered_pair(X2,X1),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2991,f767])).
% 26.40/3.78 fof(f3160,plain,(
% 26.40/3.78 ~relation(sK51_skl)|~relation(empty_set)|subset(relation_dom(empty_set),relation_dom(sK51_skl))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2991,f600])).
% 26.40/3.78 fof(f3167,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ178_spl <=> (in(ordered_pair(X0,sK32_skl(X1,X0,empty_set,empty_set,sK51_skl)),sK51_skl)|~in(ordered_pair(X0,X2),sK51_skl)|~in(ordered_pair(X2,X1),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f3170,plain,(
% 26.40/3.78 ~sQ16_spl|~sQ19_spl|sQ178_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f3152,f953,f986,f3167])).
% 26.40/3.78 fof(f3171,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ179_spl <=> (in(ordered_pair(sK32_skl(X0,X1,empty_set,empty_set,sK51_skl),X0),empty_set)|~in(ordered_pair(X1,X2),sK51_skl)|~in(ordered_pair(X2,X0),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f3174,plain,(
% 26.40/3.78 ~sQ16_spl|~sQ19_spl|sQ179_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f3153,f953,f986,f3171])).
% 26.40/3.78 fof(f3175,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ180_spl <=> (~in(ordered_pair(X0,X1),sK51_skl)|~in(ordered_pair(X1,X2),empty_set)|~in(empty_set,ordered_pair(X0,X2))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f3178,plain,(
% 26.40/3.78 ~sQ16_spl|~sQ19_spl|sQ180_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f3154,f953,f986,f3175])).
% 26.40/3.78 fof(f3179,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ181_spl <=> (~in(ordered_pair(X0,X1),sK51_skl)|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(ordered_pair(X0,X2),ordered_pair(X0,X2)),identity_relation(empty_set))))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f3182,plain,(
% 26.40/3.78 ~sQ16_spl|~sQ19_spl|sQ181_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f3155,f953,f986,f3179])).
% 26.40/3.78 fof(f3183,definition,(
% 26.40/3.78 ![X0,X1]: (sQ182_spl <=> (~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(sK51_skl,empty_set),empty_set,sK51_skl)),sK51_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f3186,plain,(
% 26.40/3.78 ~sQ16_spl|~sQ19_spl|sQ182_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f3156,f953,f986,f3183])).
% 26.40/3.78 fof(f3187,definition,(
% 26.40/3.78 ![X0,X1]: (sQ183_spl <=> (~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sK32_skl(X1,X0,relation_composition(sK51_skl,empty_set),empty_set,sK51_skl),X1),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f3190,plain,(
% 26.40/3.78 ~sQ16_spl|~sQ19_spl|sQ183_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f3157,f953,f986,f3187])).
% 26.40/3.78 fof(f3191,definition,(
% 26.40/3.78 ![X0,X1,X2]: (sQ184_spl <=> (in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),sK51_skl)|~in(ordered_pair(X2,X1),empty_set)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f3194,plain,(
% 26.40/3.78 ~sQ16_spl|~sQ19_spl|sQ184_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f3158,f953,f986,f3191])).
% 26.40/3.78 fof(f3196,definition,(
% 26.40/3.78 sQ185_spl <=> (subset(relation_dom(empty_set),relation_dom(sK51_skl)))),
% 26.40/3.78 introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition])).
% 26.40/3.78 fof(f3199,plain,(
% 26.40/3.78 ~sQ16_spl|~sQ19_spl|sQ185_spl),
% 26.40/3.78 inference(split_clause,[status(thm)],[f3160,f953,f986,f3196])).
% 26.40/3.78 fof(f3209,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(sK42_skl)|~relation(empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,empty_set,empty_set,sK42_skl)),sK42_skl)|~in(ordered_pair(X0,X2),sK42_skl)|~in(ordered_pair(X2,X1),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2993,f967])).
% 26.40/3.78 fof(f3210,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(sK42_skl)|~relation(empty_set)|in(ordered_pair(sK32_skl(X0,X1,empty_set,empty_set,sK42_skl),X0),empty_set)|~in(ordered_pair(X1,X2),sK42_skl)|~in(ordered_pair(X2,X0),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2993,f960])).
% 26.40/3.78 fof(f3211,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(sK42_skl)|~relation(empty_set)|~in(ordered_pair(X0,X1),sK42_skl)|~in(ordered_pair(X1,X2),empty_set)|~in(empty_set,ordered_pair(X0,X2)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2993,f828])).
% 26.40/3.78 fof(f3212,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(sK42_skl)|~relation(empty_set)|~in(ordered_pair(X0,X1),sK42_skl)|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(ordered_pair(X0,X2),ordered_pair(X0,X2)),identity_relation(empty_set)))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2993,f827])).
% 26.40/3.78 fof(f3213,plain,(
% 26.40/3.78 ![X0,X1]: (~relation(sK42_skl)|~relation(empty_set)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(sK42_skl,empty_set),empty_set,sK42_skl)),sK42_skl))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2993,f769])).
% 26.40/3.78 fof(f3214,plain,(
% 26.40/3.78 ![X0,X1]: (~relation(sK42_skl)|~relation(empty_set)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sK32_skl(X1,X0,relation_composition(sK42_skl,empty_set),empty_set,sK42_skl),X1),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2993,f768])).
% 26.40/3.78 fof(f3215,plain,(
% 26.40/3.78 ![X0,X1,X2]: (~relation(sK42_skl)|~relation(empty_set)|in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),sK42_skl)|~in(ordered_pair(X2,X1),empty_set))),
% 26.40/3.78 inference(paramodulation,[status(thm)],[f2993,f767])).
% 26.40/3.78 fof(f3217,plain,(
% 26.40/3.78 ~relation(sK42_skl)|~relation(empty_set)|subset(relation_dom(empty_set),relation_dom(sK42_skl))),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2993,f600])).
% 26.40/3.79 fof(f3224,definition,(
% 26.40/3.79 ![X0,X1,X2]: (sQ186_spl <=> (in(ordered_pair(X0,sK32_skl(X1,X0,empty_set,empty_set,sK42_skl)),sK42_skl)|~in(ordered_pair(X0,X2),sK42_skl)|~in(ordered_pair(X2,X1),empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3227,plain,(
% 26.40/3.79 ~sQ7_spl|~sQ19_spl|sQ186_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3209,f908,f986,f3224])).
% 26.40/3.79 fof(f3228,definition,(
% 26.40/3.79 ![X0,X1,X2]: (sQ187_spl <=> (in(ordered_pair(sK32_skl(X0,X1,empty_set,empty_set,sK42_skl),X0),empty_set)|~in(ordered_pair(X1,X2),sK42_skl)|~in(ordered_pair(X2,X0),empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3231,plain,(
% 26.40/3.79 ~sQ7_spl|~sQ19_spl|sQ187_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3210,f908,f986,f3228])).
% 26.40/3.79 fof(f3232,definition,(
% 26.40/3.79 ![X0,X1,X2]: (sQ188_spl <=> (~in(ordered_pair(X0,X1),sK42_skl)|~in(ordered_pair(X1,X2),empty_set)|~in(empty_set,ordered_pair(X0,X2))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3235,plain,(
% 26.40/3.79 ~sQ7_spl|~sQ19_spl|sQ188_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3211,f908,f986,f3232])).
% 26.40/3.79 fof(f3236,definition,(
% 26.40/3.79 ![X0,X1,X2]: (sQ189_spl <=> (~in(ordered_pair(X0,X1),sK42_skl)|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(ordered_pair(X0,X2),ordered_pair(X0,X2)),identity_relation(empty_set))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3239,plain,(
% 26.40/3.79 ~sQ7_spl|~sQ19_spl|sQ189_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3212,f908,f986,f3236])).
% 26.40/3.79 fof(f3240,definition,(
% 26.40/3.79 ![X0,X1]: (sQ190_spl <=> (~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sK32_skl(X1,X0,relation_composition(sK42_skl,empty_set),empty_set,sK42_skl)),sK42_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3243,plain,(
% 26.40/3.79 ~sQ7_spl|~sQ19_spl|sQ190_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3213,f908,f986,f3240])).
% 26.40/3.79 fof(f3244,definition,(
% 26.40/3.79 ![X0,X1]: (sQ191_spl <=> (~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sK32_skl(X1,X0,relation_composition(sK42_skl,empty_set),empty_set,sK42_skl),X1),empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3247,plain,(
% 26.40/3.79 ~sQ7_spl|~sQ19_spl|sQ191_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3214,f908,f986,f3244])).
% 26.40/3.79 fof(f3248,definition,(
% 26.40/3.79 ![X0,X1,X2]: (sQ192_spl <=> (in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),sK42_skl)|~in(ordered_pair(X2,X1),empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3251,plain,(
% 26.40/3.79 ~sQ7_spl|~sQ19_spl|sQ192_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3215,f908,f986,f3248])).
% 26.40/3.79 fof(f3253,definition,(
% 26.40/3.79 sQ193_spl <=> (subset(relation_dom(empty_set),relation_dom(sK42_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3256,plain,(
% 26.40/3.79 ~sQ7_spl|~sQ19_spl|sQ193_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3217,f908,f986,f3253])).
% 26.40/3.79 fof(f3296,plain,(
% 26.40/3.79 ![X0]: (empty(X0)|~empty(empty_set)|~empty(X0))),
% 26.40/3.79 inference(resolution,[status(thm)],[f2865,f247])).
% 26.40/3.79 fof(f3305,definition,(
% 26.40/3.79 ![X0]: (sQ196_spl <=> (empty(X0)|~empty(X0)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3308,plain,(
% 26.40/3.79 sQ196_spl|~sQ51_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3296,f3305,f1327])).
% 26.40/3.79 fof(f3430,plain,(
% 26.40/3.79 empty(sK51_skl)|sK37_skl(sK51_skl)=ordered_pair(sK2_skl(sK37_skl(sK51_skl),sK51_skl),sK3_skl(sK37_skl(sK51_skl),sK51_skl))),
% 26.40/3.79 inference(resolution,[status(thm)],[f2846,f1270])).
% 26.40/3.79 fof(f3440,definition,(
% 26.40/3.79 sQ198_spl <=> (sK37_skl(sK51_skl)=ordered_pair(sK2_skl(sK37_skl(sK51_skl),sK51_skl),sK3_skl(sK37_skl(sK51_skl),sK51_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3443,plain,(
% 26.40/3.79 sQ34_spl|sQ198_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3430,f1109,f3440])).
% 26.40/3.79 fof(f3462,plain,(
% 26.40/3.79 sK51_skl=empty_set|~sQ34_spl),
% 26.40/3.79 inference(resolution,[status(thm)],[f1110,f658])).
% 26.40/3.79 fof(f3466,plain,(
% 26.40/3.79 sQ55_spl|~sQ34_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3462,f1452,f1109])).
% 26.40/3.79 fof(f3490,plain,(
% 26.40/3.79 ~relation(identity_relation(empty_set))|~relation(sK51_skl)|subset(empty_set,relation_rng(sK51_skl))|~sQ29_spl|~sQ159_spl),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2768,f602])).
% 26.40/3.79 fof(f3491,plain,(
% 26.40/3.79 ~relation(relation_composition(identity_relation(empty_set),sK51_skl))|~subset(empty_set,empty_set)|relation_dom(relation_composition(relation_composition(identity_relation(empty_set),sK51_skl),empty_set))=relation_dom(relation_composition(identity_relation(empty_set),sK51_skl))|~sQ22_spl|~sQ29_spl|~sQ159_spl),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2768,f998])).
% 26.40/3.79 fof(f3492,plain,(
% 26.40/3.79 ![X0]: (~relation(relation_composition(identity_relation(empty_set),sK51_skl))|~subset(X0,empty_set)|relation_rng(relation_composition(relation_composition(identity_relation(empty_set),sK51_skl),identity_relation(X0)))=X0|~sQ29_spl|~sQ159_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2768,f825])).
% 26.40/3.79 fof(f3493,plain,(
% 26.40/3.79 ![X0]: (~relation(relation_composition(identity_relation(empty_set),sK51_skl))|~subset(empty_set,X0)|relation_dom(relation_composition(relation_composition(identity_relation(empty_set),sK51_skl),identity_relation(X0)))=relation_dom(relation_composition(identity_relation(empty_set),sK51_skl))|~sQ29_spl|~sQ159_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2768,f808])).
% 26.40/3.79 fof(f3494,plain,(
% 26.40/3.79 ![X0]: (~relation(X0)|~relation(relation_composition(identity_relation(empty_set),sK51_skl))|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(identity_relation(empty_set),sK51_skl),X0))=relation_rng(X0)|~sQ29_spl|~sQ159_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2768,f612])).
% 26.40/3.79 fof(f3495,plain,(
% 26.40/3.79 ![X0]: (~relation(relation_composition(identity_relation(empty_set),sK51_skl))|~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(relation_composition(identity_relation(empty_set),sK51_skl),X0))=relation_dom(relation_composition(identity_relation(empty_set),sK51_skl))|~sQ29_spl|~sQ159_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2768,f606])).
% 26.40/3.79 fof(f3496,plain,(
% 26.40/3.79 ![X0]: (~relation(X0)|~relation(relation_composition(identity_relation(empty_set),sK51_skl))|subset(relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),sK51_skl))),empty_set)|~sQ29_spl|~sQ159_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2768,f602])).
% 26.40/3.79 fof(f3497,definition,(
% 26.40/3.79 sQ199_spl <=> (subset(empty_set,relation_rng(sK51_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3500,plain,(
% 26.40/3.79 ~sQ5_spl|~sQ16_spl|sQ199_spl|~sQ29_spl|~sQ159_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3490,f880,f953,f3497,f1085,f2744])).
% 26.40/3.79 fof(f3501,definition,(
% 26.40/3.79 sQ200_spl <=> (relation_dom(relation_composition(relation_composition(identity_relation(empty_set),sK51_skl),empty_set))=relation_dom(relation_composition(identity_relation(empty_set),sK51_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3504,plain,(
% 26.40/3.79 ~sQ29_spl|~sQ4_spl|sQ200_spl|~sQ22_spl|~sQ159_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3491,f1085,f876,f3501,f997,f2744])).
% 26.40/3.79 fof(f3505,definition,(
% 26.40/3.79 ![X0]: (sQ201_spl <=> (~subset(X0,empty_set)|relation_rng(relation_composition(relation_composition(identity_relation(empty_set),sK51_skl),identity_relation(X0)))=X0))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3508,plain,(
% 26.40/3.79 ~sQ29_spl|sQ201_spl|~sQ159_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3492,f1085,f3505,f2744])).
% 26.40/3.79 fof(f3509,definition,(
% 26.40/3.79 ![X0]: (sQ202_spl <=> (~subset(empty_set,X0)|relation_dom(relation_composition(relation_composition(identity_relation(empty_set),sK51_skl),identity_relation(X0)))=relation_dom(relation_composition(identity_relation(empty_set),sK51_skl))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3512,plain,(
% 26.40/3.79 ~sQ29_spl|sQ202_spl|~sQ159_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3493,f1085,f3509,f2744])).
% 26.40/3.79 fof(f3513,definition,(
% 26.40/3.79 ![X0]: (sQ203_spl <=> (~relation(X0)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(identity_relation(empty_set),sK51_skl),X0))=relation_rng(X0)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3516,plain,(
% 26.40/3.79 sQ203_spl|~sQ29_spl|~sQ159_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3494,f3513,f1085,f2744])).
% 26.40/3.79 fof(f3517,definition,(
% 26.40/3.79 ![X0]: (sQ204_spl <=> (~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(relation_composition(identity_relation(empty_set),sK51_skl),X0))=relation_dom(relation_composition(identity_relation(empty_set),sK51_skl))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3520,plain,(
% 26.40/3.79 ~sQ29_spl|sQ204_spl|~sQ159_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3495,f1085,f3517,f2744])).
% 26.40/3.79 fof(f3521,definition,(
% 26.40/3.79 ![X0]: (sQ205_spl <=> (~relation(X0)|subset(relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),sK51_skl))),empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3524,plain,(
% 26.40/3.79 sQ205_spl|~sQ29_spl|~sQ159_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3496,f3521,f1085,f2744])).
% 26.40/3.79 fof(f3537,plain,(
% 26.40/3.79 ordered_pair(sK52_skl,sK53_skl)=set_meet(sK51_skl)|sK51_skl=empty_set|ordered_pair(sK52_skl,sK53_skl)=set_meet(sK51_skl)|in(sK7_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl),sK51_skl)|~sQ76_spl),
% 26.40/3.79 inference(resolution,[status(thm)],[f1704,f217])).
% 26.40/3.79 fof(f3538,plain,(
% 26.40/3.79 ![X0]: (X0=set_meet(sK51_skl)|in(sK6_skl(X0,sK51_skl),ordered_pair(sK52_skl,sK53_skl))|sK51_skl=empty_set|X0=set_meet(sK51_skl)|in(sK7_skl(X0,sK51_skl),sK51_skl)|~sQ76_spl)),
% 26.40/3.79 inference(resolution,[status(thm)],[f1704,f217])).
% 26.40/3.79 fof(f3543,plain,(
% 26.40/3.79 empty_set=set_meet(sK51_skl)|in(sK6_skl(empty_set,sK51_skl),ordered_pair(sK52_skl,sK53_skl))|~sQ76_spl),
% 26.40/3.79 inference(resolution,[status(thm)],[f1704,f732])).
% 26.40/3.79 fof(f3544,plain,(
% 26.40/3.79 ![X0]: (ordered_pair(sK52_skl,sK53_skl)=set_meet(sK51_skl)|ordered_pair(sK52_skl,sK53_skl)=empty_set|X0=set_meet(ordered_pair(sK52_skl,sK53_skl))|in(sK6_skl(X0,ordered_pair(sK52_skl,sK53_skl)),X0)|in(sK6_skl(X0,ordered_pair(sK52_skl,sK53_skl)),sK6_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl))|~sQ76_spl)),
% 26.40/3.79 inference(resolution,[status(thm)],[f1704,f219])).
% 26.40/3.79 fof(f3546,plain,(
% 26.40/3.79 ordered_pair(sK52_skl,sK53_skl)=set_meet(sK51_skl)|element(sK6_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl),ordered_pair(sK52_skl,sK53_skl))|~sQ76_spl),
% 26.40/3.79 inference(resolution,[status(thm)],[f1704,f520])).
% 26.40/3.79 fof(f3548,plain,(
% 26.40/3.79 ordered_pair(sK52_skl,sK53_skl)=set_meet(sK51_skl)|in(ordered_pair(sK6_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl),sK6_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl)),identity_relation(ordered_pair(sK52_skl,sK53_skl)))|~sQ76_spl),
% 26.40/3.79 inference(resolution,[status(thm)],[f1704,f770])).
% 26.40/3.79 fof(f3550,plain,(
% 26.40/3.79 ordered_pair(sK52_skl,sK53_skl)=set_meet(sK51_skl)|~in(ordered_pair(sK52_skl,sK53_skl),sK6_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl))|~sQ76_spl),
% 26.40/3.79 inference(resolution,[status(thm)],[f1704,f180])).
% 26.40/3.79 fof(f3553,plain,(
% 26.40/3.79 ![X0,X1]: (X0=set_meet(sK51_skl)|in(sK6_skl(X0,sK51_skl),X0)|ordered_pair(sK52_skl,sK53_skl)=empty_set|X1=set_meet(ordered_pair(sK52_skl,sK53_skl))|in(sK6_skl(X1,ordered_pair(sK52_skl,sK53_skl)),X1)|in(sK6_skl(X1,ordered_pair(sK52_skl,sK53_skl)),sK6_skl(X0,sK51_skl))|~sQ76_spl)),
% 26.40/3.79 inference(resolution,[status(thm)],[f1704,f219])).
% 26.40/3.79 fof(f3557,plain,(
% 26.40/3.79 ordered_pair(sK52_skl,sK53_skl)=set_meet(sK51_skl)|in(sK6_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl),ordered_pair(sK52_skl,sK53_skl))|~sQ76_spl),
% 26.40/3.79 inference(factoring,[status(thm)],[f1704])).
% 26.40/3.79 fof(f3558,definition,(
% 26.40/3.79 sQ206_spl <=> (ordered_pair(sK52_skl,sK53_skl)=set_meet(sK51_skl))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3559,plain,(
% 26.40/3.79 ordered_pair(sK52_skl,sK53_skl)=set_meet(sK51_skl)|~sQ206_spl),
% 26.40/3.79 inference(component_clause,[status(thm)],[f3558])).
% 26.40/3.79 fof(f3561,definition,(
% 26.40/3.79 sQ207_spl <=> (in(sK7_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl),sK51_skl))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3564,plain,(
% 26.40/3.79 sQ206_spl|sQ55_spl|sQ207_spl|~sQ76_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3537,f3558,f1452,f3561,f1703])).
% 26.40/3.79 fof(f3565,definition,(
% 26.40/3.79 ![X0]: (sQ208_spl <=> (X0=set_meet(sK51_skl)|in(sK6_skl(X0,sK51_skl),ordered_pair(sK52_skl,sK53_skl))|X0=set_meet(sK51_skl)|in(sK7_skl(X0,sK51_skl),sK51_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3568,plain,(
% 26.40/3.79 sQ208_spl|sQ55_spl|~sQ76_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3538,f3565,f1452,f1703])).
% 26.40/3.79 fof(f3569,definition,(
% 26.40/3.79 sQ209_spl <=> (empty_set=set_meet(sK51_skl))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3570,plain,(
% 26.40/3.79 empty_set=set_meet(sK51_skl)|~sQ209_spl),
% 26.40/3.79 inference(component_clause,[status(thm)],[f3569])).
% 26.40/3.79 fof(f3572,definition,(
% 26.40/3.79 sQ210_spl <=> (in(sK6_skl(empty_set,sK51_skl),ordered_pair(sK52_skl,sK53_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3573,plain,(
% 26.40/3.79 in(sK6_skl(empty_set,sK51_skl),ordered_pair(sK52_skl,sK53_skl))|~sQ210_spl),
% 26.40/3.79 inference(component_clause,[status(thm)],[f3572])).
% 26.40/3.79 fof(f3575,plain,(
% 26.40/3.79 sQ209_spl|sQ210_spl|~sQ76_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3543,f3569,f3572,f1703])).
% 26.40/3.79 fof(f3576,definition,(
% 26.40/3.79 sQ211_spl <=> (ordered_pair(sK52_skl,sK53_skl)=empty_set)),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3577,plain,(
% 26.40/3.79 ordered_pair(sK52_skl,sK53_skl)=empty_set|~sQ211_spl),
% 26.40/3.79 inference(component_clause,[status(thm)],[f3576])).
% 26.40/3.79 fof(f3579,definition,(
% 26.40/3.79 ![X0]: (sQ212_spl <=> (X0=set_meet(ordered_pair(sK52_skl,sK53_skl))|in(sK6_skl(X0,ordered_pair(sK52_skl,sK53_skl)),X0)|in(sK6_skl(X0,ordered_pair(sK52_skl,sK53_skl)),sK6_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3582,plain,(
% 26.40/3.79 sQ206_spl|sQ211_spl|sQ212_spl|~sQ76_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3544,f3558,f3576,f3579,f1703])).
% 26.40/3.79 fof(f3583,definition,(
% 26.40/3.79 sQ213_spl <=> (element(sK6_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl),ordered_pair(sK52_skl,sK53_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3586,plain,(
% 26.40/3.79 sQ206_spl|sQ213_spl|~sQ76_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3546,f3558,f3583,f1703])).
% 26.40/3.79 fof(f3587,definition,(
% 26.40/3.79 sQ214_spl <=> (in(ordered_pair(sK6_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl),sK6_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl)),identity_relation(ordered_pair(sK52_skl,sK53_skl))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3590,plain,(
% 26.40/3.79 sQ206_spl|sQ214_spl|~sQ76_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3548,f3558,f3587,f1703])).
% 26.40/3.79 fof(f3591,definition,(
% 26.40/3.79 sQ215_spl <=> (in(ordered_pair(sK52_skl,sK53_skl),sK6_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3594,plain,(
% 26.40/3.79 sQ206_spl|~sQ215_spl|~sQ76_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3550,f3558,f3591,f1703])).
% 26.40/3.79 fof(f3595,definition,(
% 26.40/3.79 sQ216_spl <=> (in(sK6_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl),ordered_pair(sK52_skl,sK53_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3596,plain,(
% 26.40/3.79 in(sK6_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl),ordered_pair(sK52_skl,sK53_skl))|~sQ216_spl),
% 26.40/3.79 inference(component_clause,[status(thm)],[f3595])).
% 26.40/3.79 fof(f3599,definition,(
% 26.40/3.79 ![X0,X1]: (sQ217_spl <=> (X0=set_meet(sK51_skl)|in(sK6_skl(X0,sK51_skl),X0)|X1=set_meet(ordered_pair(sK52_skl,sK53_skl))|in(sK6_skl(X1,ordered_pair(sK52_skl,sK53_skl)),X1)|in(sK6_skl(X1,ordered_pair(sK52_skl,sK53_skl)),sK6_skl(X0,sK51_skl))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3602,plain,(
% 26.40/3.79 sQ217_spl|sQ211_spl|~sQ76_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3553,f3599,f3576,f1703])).
% 26.40/3.79 fof(f3603,plain,(
% 26.40/3.79 sQ206_spl|sQ216_spl|~sQ76_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3557,f3558,f3595,f1703])).
% 26.40/3.79 fof(f3605,plain,(
% 26.40/3.79 in(set_meet(sK51_skl),sK51_skl)|~sQ206_spl|~sQ2_spl),
% 26.40/3.79 inference(backward_demodulation,[status(thm)],[f3559,f716])).
% 26.40/3.79 fof(f3607,plain,(
% 26.40/3.79 element(set_meet(sK51_skl),sK51_skl)|~sQ206_spl|~sQ2_spl),
% 26.40/3.79 inference(backward_demodulation,[status(thm)],[f3559,f1637])).
% 26.40/3.79 fof(f3635,plain,(
% 26.40/3.79 in(empty_set,sK51_skl)|~sQ209_spl|~sQ206_spl|~sQ2_spl),
% 26.40/3.79 inference(forward_demodulation,[status(thm)],[f3570,f3605])).
% 26.40/3.79 fof(f3689,plain,(
% 26.40/3.79 ![X0]: (sK51_skl=empty_set|in(X0,set_meet(sK51_skl))|~in(X0,sK5_skl(X0,empty_set,sK51_skl))|~sQ209_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f3570,f727])).
% 26.40/3.79 fof(f3690,plain,(
% 26.40/3.79 ![X0]: (sK51_skl=empty_set|in(X0,set_meet(sK51_skl))|in(sK5_skl(X0,empty_set,sK51_skl),sK51_skl)|~sQ209_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f3570,f726])).
% 26.40/3.79 fof(f3691,plain,(
% 26.40/3.79 ![X0,X1]: (sK51_skl=empty_set|~in(X0,empty_set)|~in(X1,sK51_skl)|in(X0,X1)|~sQ209_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f3570,f725])).
% 26.40/3.79 fof(f3692,definition,(
% 26.40/3.79 ![X0]: (sQ218_spl <=> (in(X0,set_meet(sK51_skl))|~in(X0,sK5_skl(X0,empty_set,sK51_skl))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3695,plain,(
% 26.40/3.79 sQ55_spl|sQ218_spl|~sQ209_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3689,f1452,f3692,f3569])).
% 26.40/3.79 fof(f3696,definition,(
% 26.40/3.79 ![X0]: (sQ219_spl <=> (in(X0,set_meet(sK51_skl))|in(sK5_skl(X0,empty_set,sK51_skl),sK51_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3697,plain,(
% 26.40/3.79 ![X0]: (in(X0,set_meet(sK51_skl))|in(sK5_skl(X0,empty_set,sK51_skl),sK51_skl)|~sQ219_spl)),
% 26.40/3.79 inference(component_clause,[status(thm)],[f3696])).
% 26.40/3.79 fof(f3699,plain,(
% 26.40/3.79 sQ55_spl|sQ219_spl|~sQ209_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3690,f1452,f3696,f3569])).
% 26.40/3.79 fof(f3700,definition,(
% 26.40/3.79 ![X0,X1]: (sQ220_spl <=> (~in(X0,empty_set)|~in(X1,sK51_skl)|in(X0,X1)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3703,plain,(
% 26.40/3.79 sQ55_spl|sQ220_spl|~sQ209_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3691,f1452,f3700,f3569])).
% 26.40/3.79 fof(f3706,plain,(
% 26.40/3.79 ![X0]: (in(X0,empty_set)|in(sK5_skl(X0,empty_set,sK51_skl),sK51_skl)|~sQ209_spl|~sQ219_spl)),
% 26.40/3.79 inference(forward_demodulation,[status(thm)],[f3570,f3697])).
% 26.40/3.79 fof(f3707,plain,(
% 26.40/3.79 ![X0]: (in(sK5_skl(X0,empty_set,sK51_skl),sK51_skl)|~sQ209_spl|~sQ219_spl)),
% 26.40/3.79 inference(forward_subsumption_resolution,[status(thm)],[f3706,f732])).
% 26.40/3.79 fof(f3708,plain,(
% 26.40/3.79 ![X0]: (sK51_skl=empty_set|X0=set_meet(sK51_skl)|in(sK6_skl(X0,sK51_skl),X0)|in(sK6_skl(X0,sK51_skl),empty_set)|~sQ209_spl|~sQ206_spl|~sQ2_spl)),
% 26.40/3.79 inference(resolution,[status(thm)],[f3635,f219])).
% 26.40/3.79 fof(f3712,definition,(
% 26.40/3.79 ![X0]: (sQ221_spl <=> (X0=set_meet(sK51_skl)|in(sK6_skl(X0,sK51_skl),X0)|in(sK6_skl(X0,sK51_skl),empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3715,plain,(
% 26.40/3.79 sQ55_spl|sQ221_spl|~sQ209_spl|~sQ206_spl|~sQ2_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3708,f1452,f3712,f3569,f3558,f715])).
% 26.40/3.79 fof(f3716,plain,(
% 26.40/3.79 in(sK6_skl(empty_set,sK51_skl),empty_set)|~sQ211_spl|~sQ210_spl),
% 26.40/3.79 inference(forward_demodulation,[status(thm)],[f3577,f3573])).
% 26.40/3.79 fof(f3717,plain,(
% 26.40/3.79 $false|~sQ211_spl|~sQ210_spl),
% 26.40/3.79 inference(forward_subsumption_resolution,[status(thm)],[f3716,f732])).
% 26.40/3.79 fof(f3718,plain,(
% 26.40/3.79 ~sQ211_spl|~sQ210_spl),
% 26.40/3.79 inference(contradiction_clause,[status(thm)],[f3717])).
% 26.40/3.79 fof(f3735,plain,(
% 26.40/3.79 empty(sK51_skl)|in(set_meet(sK51_skl),sK51_skl)|~sQ206_spl|~sQ2_spl),
% 26.40/3.79 inference(resolution,[status(thm)],[f3607,f244])).
% 26.40/3.79 fof(f3736,definition,(
% 26.40/3.79 sQ222_spl <=> (in(set_meet(sK51_skl),sK51_skl))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3739,plain,(
% 26.40/3.79 sQ34_spl|sQ222_spl|~sQ206_spl|~sQ2_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3735,f1109,f3736,f3558,f715])).
% 26.40/3.79 fof(f3766,plain,(
% 26.40/3.79 in(sK6_skl(ordered_pair(sK52_skl,sK53_skl),sK51_skl),empty_set)|~sQ211_spl|~sQ216_spl),
% 26.40/3.79 inference(backward_demodulation,[status(thm)],[f3577,f3596])).
% 26.40/3.79 fof(f3809,plain,(
% 26.40/3.79 in(sK6_skl(empty_set,sK51_skl),empty_set)|~sQ211_spl|~sQ216_spl),
% 26.40/3.79 inference(forward_demodulation,[status(thm)],[f3577,f3766])).
% 26.40/3.79 fof(f3810,plain,(
% 26.40/3.79 $false|~sQ211_spl|~sQ216_spl),
% 26.40/3.79 inference(forward_subsumption_resolution,[status(thm)],[f3809,f732])).
% 26.40/3.79 fof(f3811,plain,(
% 26.40/3.79 ~sQ211_spl|~sQ216_spl),
% 26.40/3.79 inference(contradiction_clause,[status(thm)],[f3810])).
% 26.40/3.79 fof(f3821,plain,(
% 26.40/3.79 ![X0]: (~relation(empty_set)|subset(relation_dom(empty_set),X0))),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f3004,f800])).
% 26.40/3.79 fof(f3823,plain,(
% 26.40/3.79 ![X0,X1,X2,X3]: (~relation(identity_relation(X0))|~relation(empty_set)|in(ordered_pair(X1,sK32_skl(X2,X1,empty_set,empty_set,identity_relation(X0))),identity_relation(X0))|~in(ordered_pair(X1,X3),identity_relation(X0))|~in(ordered_pair(X3,X2),empty_set))),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f3004,f967])).
% 26.40/3.79 fof(f3824,plain,(
% 26.40/3.79 ![X0,X1,X2,X3]: (~relation(identity_relation(X0))|~relation(empty_set)|in(ordered_pair(sK32_skl(X1,X2,empty_set,empty_set,identity_relation(X0)),X1),empty_set)|~in(ordered_pair(X2,X3),identity_relation(X0))|~in(ordered_pair(X3,X1),empty_set))),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f3004,f960])).
% 26.40/3.79 fof(f3825,plain,(
% 26.40/3.79 ![X0,X1,X2,X3]: (~relation(identity_relation(X0))|~relation(empty_set)|~in(ordered_pair(X1,X2),identity_relation(X0))|~in(ordered_pair(X2,X3),empty_set)|~in(empty_set,ordered_pair(X1,X3)))),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f3004,f828])).
% 26.40/3.79 fof(f3826,plain,(
% 26.40/3.79 ![X0,X1,X2,X3]: (~relation(identity_relation(X0))|~relation(empty_set)|~in(ordered_pair(X1,X2),identity_relation(X0))|~in(ordered_pair(X2,X3),empty_set)|in(ordered_pair(ordered_pair(X1,X3),ordered_pair(X1,X3)),identity_relation(empty_set)))),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f3004,f827])).
% 26.40/3.79 fof(f3827,plain,(
% 26.40/3.79 ![X0,X1,X2]: (~relation(identity_relation(X0))|~relation(empty_set)|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(X1,sK32_skl(X2,X1,relation_composition(identity_relation(X0),empty_set),empty_set,identity_relation(X0))),identity_relation(X0)))),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f3004,f769])).
% 26.40/3.79 fof(f3828,plain,(
% 26.40/3.79 ![X0,X1,X2]: (~relation(identity_relation(X0))|~relation(empty_set)|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(sK32_skl(X2,X1,relation_composition(identity_relation(X0),empty_set),empty_set,identity_relation(X0)),X2),empty_set))),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f3004,f768])).
% 26.40/3.79 fof(f3829,plain,(
% 26.40/3.79 ![X0,X1,X2,X3]: (~relation(identity_relation(X0))|~relation(empty_set)|in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X1,X3),identity_relation(X0))|~in(ordered_pair(X3,X2),empty_set))),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f3004,f767])).
% 26.40/3.79 fof(f3830,plain,(
% 26.40/3.79 ![X0]: (~relation(identity_relation(X0))|~relation(empty_set)|subset(relation_rng(empty_set),relation_rng(empty_set)))),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f3004,f602])).
% 26.40/3.79 fof(f3831,plain,(
% 26.40/3.79 ![X0]: (~relation(identity_relation(X0))|~relation(empty_set)|subset(relation_dom(empty_set),relation_dom(identity_relation(X0))))),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f3004,f600])).
% 26.40/3.79 fof(f3837,definition,(
% 26.40/3.79 ![X0]: (sQ223_spl <=> (subset(relation_dom(empty_set),X0)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3840,plain,(
% 26.40/3.79 ~sQ19_spl|sQ223_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3821,f986,f3837])).
% 26.40/3.79 fof(f3842,definition,(
% 26.40/3.79 ![X0,X1,X2,X3]: (sQ224_spl <=> (~relation(identity_relation(X0))|in(ordered_pair(X1,sK32_skl(X2,X1,empty_set,empty_set,identity_relation(X0))),identity_relation(X0))|~in(ordered_pair(X1,X3),identity_relation(X0))|~in(ordered_pair(X3,X2),empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3845,plain,(
% 26.40/3.79 sQ224_spl|~sQ19_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3823,f3842,f986])).
% 26.40/3.79 fof(f3846,definition,(
% 26.40/3.79 ![X0,X1,X2,X3]: (sQ225_spl <=> (~relation(identity_relation(X0))|in(ordered_pair(sK32_skl(X1,X2,empty_set,empty_set,identity_relation(X0)),X1),empty_set)|~in(ordered_pair(X2,X3),identity_relation(X0))|~in(ordered_pair(X3,X1),empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3849,plain,(
% 26.40/3.79 sQ225_spl|~sQ19_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3824,f3846,f986])).
% 26.40/3.79 fof(f3850,definition,(
% 26.40/3.79 ![X0,X1,X2,X3]: (sQ226_spl <=> (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),identity_relation(X0))|~in(ordered_pair(X2,X3),empty_set)|~in(empty_set,ordered_pair(X1,X3))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3853,plain,(
% 26.40/3.79 sQ226_spl|~sQ19_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3825,f3850,f986])).
% 26.40/3.79 fof(f3854,definition,(
% 26.40/3.79 ![X0,X1,X2,X3]: (sQ227_spl <=> (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),identity_relation(X0))|~in(ordered_pair(X2,X3),empty_set)|in(ordered_pair(ordered_pair(X1,X3),ordered_pair(X1,X3)),identity_relation(empty_set))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3857,plain,(
% 26.40/3.79 sQ227_spl|~sQ19_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3826,f3854,f986])).
% 26.40/3.79 fof(f3858,definition,(
% 26.40/3.79 ![X0,X1,X2]: (sQ228_spl <=> (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(X1,sK32_skl(X2,X1,relation_composition(identity_relation(X0),empty_set),empty_set,identity_relation(X0))),identity_relation(X0))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3861,plain,(
% 26.40/3.79 sQ228_spl|~sQ19_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3827,f3858,f986])).
% 26.40/3.79 fof(f3862,definition,(
% 26.40/3.79 ![X0,X1,X2]: (sQ229_spl <=> (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(sK32_skl(X2,X1,relation_composition(identity_relation(X0),empty_set),empty_set,identity_relation(X0)),X2),empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3865,plain,(
% 26.40/3.79 sQ229_spl|~sQ19_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3828,f3862,f986])).
% 26.40/3.79 fof(f3866,definition,(
% 26.40/3.79 ![X0,X1,X2,X3]: (sQ230_spl <=> (~relation(identity_relation(X0))|in(ordered_pair(X1,X2),empty_set)|~in(ordered_pair(X1,X3),identity_relation(X0))|~in(ordered_pair(X3,X2),empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3869,plain,(
% 26.40/3.79 sQ230_spl|~sQ19_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3829,f3866,f986])).
% 26.40/3.79 fof(f3870,plain,(
% 26.40/3.79 sQ3_spl|~sQ19_spl|sQ147_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3830,f873,f986,f2647])).
% 26.40/3.79 fof(f3871,definition,(
% 26.40/3.79 ![X0]: (sQ231_spl <=> (~relation(identity_relation(X0))|subset(relation_dom(empty_set),relation_dom(identity_relation(X0)))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f3874,plain,(
% 26.40/3.79 sQ231_spl|~sQ19_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f3831,f3871,f986])).
% 26.40/3.79 fof(f4068,plain,(
% 26.40/3.79 ![X0,X1]: (sK51_skl=empty_set|X0=set_meet(sK51_skl)|in(sK6_skl(X0,sK51_skl),X0)|in(sK6_skl(X0,sK51_skl),sK5_skl(X1,empty_set,sK51_skl))|~sQ209_spl|~sQ219_spl)),
% 26.40/3.79 inference(resolution,[status(thm)],[f3707,f219])).
% 26.40/3.79 fof(f4069,plain,(
% 26.40/3.79 ![X0]: (element(sK5_skl(X0,empty_set,sK51_skl),sK51_skl)|~sQ209_spl|~sQ219_spl)),
% 26.40/3.79 inference(resolution,[status(thm)],[f3707,f520])).
% 26.40/3.79 fof(f4072,definition,(
% 26.40/3.79 ![X0,X1]: (sQ232_spl <=> (X0=set_meet(sK51_skl)|in(sK6_skl(X0,sK51_skl),X0)|in(sK6_skl(X0,sK51_skl),sK5_skl(X1,empty_set,sK51_skl))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f4075,plain,(
% 26.40/3.79 sQ55_spl|sQ232_spl|~sQ209_spl|~sQ219_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f4068,f1452,f4072,f3569,f3696])).
% 26.40/3.79 fof(f4999,plain,(
% 26.40/3.79 ~relation(empty_set)|~sQ177_spl),
% 26.40/3.79 inference(forward_demodulation,[status(thm)],[f3004,f3140])).
% 26.40/3.79 fof(f5000,plain,(
% 26.40/3.79 $false|~sQ177_spl),
% 26.40/3.79 inference(forward_subsumption_resolution,[status(thm)],[f4999,f401])).
% 26.40/3.79 fof(f5001,plain,(
% 26.40/3.79 ~sQ177_spl),
% 26.40/3.79 inference(contradiction_clause,[status(thm)],[f5000])).
% 26.40/3.79 fof(f5002,plain,(
% 26.40/3.79 ~relation(empty_set)|~sQ121_spl),
% 26.40/3.79 inference(forward_demodulation,[status(thm)],[f2383,f2471])).
% 26.40/3.79 fof(f5003,plain,(
% 26.40/3.79 $false|~sQ121_spl),
% 26.40/3.79 inference(forward_subsumption_resolution,[status(thm)],[f5002,f401])).
% 26.40/3.79 fof(f5004,plain,(
% 26.40/3.79 ~sQ121_spl),
% 26.40/3.79 inference(contradiction_clause,[status(thm)],[f5003])).
% 26.40/3.79 fof(f5005,plain,(
% 26.40/3.79 ~empty(empty_set)|sQ113_spl),
% 26.40/3.79 inference(forward_demodulation,[status(thm)],[f2991,f2304])).
% 26.40/3.79 fof(f5006,plain,(
% 26.40/3.79 $false|sQ113_spl),
% 26.40/3.79 inference(forward_subsumption_resolution,[status(thm)],[f5005,f388])).
% 26.40/3.79 fof(f5007,plain,(
% 26.40/3.79 sQ113_spl),
% 26.40/3.79 inference(contradiction_clause,[status(thm)],[f5006])).
% 26.40/3.79 fof(f5475,plain,(
% 26.40/3.79 ![X0]: (proper_subset(empty_set,X0)|empty_set=X0)),
% 26.40/3.79 inference(resolution,[status(thm)],[f365,f547])).
% 26.40/3.79 fof(f5487,plain,(
% 26.40/3.79 ![X0]: (empty_set=X0|~proper_subset(X0,empty_set))),
% 26.40/3.79 inference(resolution,[status(thm)],[f5475,f182])).
% 26.40/3.79 fof(f5489,plain,(
% 26.40/3.79 empty_set=empty_set|empty_set=empty_set),
% 26.40/3.79 inference(resolution,[status(thm)],[f5487,f5475])).
% 26.40/3.79 fof(f5490,plain,(
% 26.40/3.79 sQ53_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f5489,f1437])).
% 26.40/3.79 fof(f5617,plain,(
% 26.40/3.79 ![X0]: (empty(sK51_skl)|in(sK5_skl(X0,empty_set,sK51_skl),sK51_skl)|~sQ209_spl|~sQ219_spl)),
% 26.40/3.79 inference(resolution,[status(thm)],[f4069,f244])).
% 26.40/3.79 fof(f5618,definition,(
% 26.40/3.79 ![X0]: (sQ263_spl <=> (in(sK5_skl(X0,empty_set,sK51_skl),sK51_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f5621,plain,(
% 26.40/3.79 sQ34_spl|sQ263_spl|~sQ209_spl|~sQ219_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f5617,f1109,f5618,f3569,f3696])).
% 26.40/3.79 fof(f5624,plain,(
% 26.40/3.79 ![X0]: (sK51_skl=empty_set|X0=set_meet(sK51_skl)|in(sK6_skl(X0,sK51_skl),X0)|in(sK6_skl(X0,sK51_skl),ordered_pair(sK32_skl(sK53_skl,sK52_skl,relation_composition(identity_relation(sK54_skl),sK51_skl),sK51_skl,identity_relation(sK54_skl)),sK53_skl))|~sQ17_spl)),
% 26.40/3.79 inference(resolution,[status(thm)],[f957,f219])).
% 26.40/3.79 fof(f5628,definition,(
% 26.40/3.79 ![X0]: (sQ264_spl <=> (X0=set_meet(sK51_skl)|in(sK6_skl(X0,sK51_skl),X0)|in(sK6_skl(X0,sK51_skl),ordered_pair(sK32_skl(sK53_skl,sK52_skl,relation_composition(identity_relation(sK54_skl),sK51_skl),sK51_skl,identity_relation(sK54_skl)),sK53_skl))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f5631,plain,(
% 26.40/3.79 sQ55_spl|sQ264_spl|~sQ17_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f5624,f1452,f5628,f956])).
% 26.40/3.79 fof(f6178,plain,(
% 26.40/3.79 ![X0]: (relation_rng(relation_composition(identity_relation(empty_set),sK51_skl))=relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),sK51_skl)))|~subset(empty_set,relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),sK51_skl))))|~relation(X0)|~relation(relation_composition(identity_relation(empty_set),sK51_skl))|~sQ29_spl|~sQ159_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2768,f1073])).
% 26.40/3.79 fof(f6179,plain,(
% 26.40/3.79 ![X0]: (relation_rng(empty_set)=relation_rng(relation_composition(X0,empty_set))|~subset(empty_set,relation_rng(relation_composition(X0,empty_set)))|~relation(X0)|~relation(empty_set))),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f639,f1073])).
% 26.40/3.79 fof(f6181,plain,(
% 26.40/3.79 relation_rng(sK51_skl)=relation_rng(relation_composition(identity_relation(empty_set),sK51_skl))|~subset(relation_rng(sK51_skl),empty_set)|~relation(identity_relation(empty_set))|~relation(sK51_skl)|~sQ29_spl|~sQ159_spl),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2768,f1073])).
% 26.40/3.79 fof(f6182,plain,(
% 26.40/3.79 ![X0]: (relation_rng(empty_set)=relation_rng(relation_composition(identity_relation(X0),empty_set))|~subset(relation_rng(empty_set),relation_rng(empty_set))|~relation(identity_relation(X0))|~relation(empty_set))),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f3004,f1073])).
% 26.40/3.79 fof(f6183,plain,(
% 26.40/3.79 relation_rng(empty_set)=relation_rng(relation_composition(sK42_skl,empty_set))|~subset(relation_rng(empty_set),relation_rng(empty_set))|~relation(sK42_skl)|~relation(empty_set)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2993,f1073])).
% 26.40/3.79 fof(f6184,plain,(
% 26.40/3.79 relation_rng(empty_set)=relation_rng(relation_composition(sK51_skl,empty_set))|~subset(relation_rng(empty_set),relation_rng(empty_set))|~relation(sK51_skl)|~relation(empty_set)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2991,f1073])).
% 26.40/3.79 fof(f6185,plain,(
% 26.40/3.79 ![X0]: (relation_rng(identity_relation(X0))=relation_rng(relation_composition(empty_set,identity_relation(X0)))|~subset(relation_rng(identity_relation(X0)),relation_rng(empty_set))|~relation(empty_set)|~relation(identity_relation(X0)))),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2383,f1073])).
% 26.40/3.79 fof(f6186,plain,(
% 26.40/3.79 relation_rng(empty_set)=relation_rng(relation_composition(empty_set,empty_set))|~subset(relation_rng(empty_set),relation_rng(empty_set))|~relation(empty_set)|~relation(empty_set)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2371,f1073])).
% 26.40/3.79 fof(f6187,plain,(
% 26.40/3.79 relation_rng(sK42_skl)=relation_rng(relation_composition(empty_set,sK42_skl))|~subset(relation_rng(sK42_skl),relation_rng(empty_set))|~relation(empty_set)|~relation(sK42_skl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2370,f1073])).
% 26.40/3.79 fof(f6188,plain,(
% 26.40/3.79 relation_rng(sK51_skl)=relation_rng(relation_composition(empty_set,sK51_skl))|~subset(relation_rng(sK51_skl),relation_rng(empty_set))|~relation(empty_set)|~relation(sK51_skl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f2368,f1073])).
% 26.40/3.79 fof(f6189,definition,(
% 26.40/3.79 ![X0]: (sQ269_spl <=> (relation_rng(relation_composition(identity_relation(empty_set),sK51_skl))=relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),sK51_skl)))|~subset(empty_set,relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),sK51_skl))))|~relation(X0)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6192,plain,(
% 26.40/3.79 sQ269_spl|~sQ29_spl|~sQ159_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6178,f6189,f1085,f2744])).
% 26.40/3.79 fof(f6193,definition,(
% 26.40/3.79 ![X0]: (sQ270_spl <=> (relation_rng(empty_set)=relation_rng(relation_composition(X0,empty_set))|~subset(empty_set,relation_rng(relation_composition(X0,empty_set)))|~relation(X0)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6196,plain,(
% 26.40/3.79 sQ270_spl|~sQ19_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6179,f6193,f986])).
% 26.40/3.79 fof(f6198,definition,(
% 26.40/3.79 sQ271_spl <=> (relation_rng(sK51_skl)=relation_rng(relation_composition(identity_relation(empty_set),sK51_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6199,plain,(
% 26.40/3.79 relation_rng(sK51_skl)=relation_rng(relation_composition(identity_relation(empty_set),sK51_skl))|~sQ271_spl),
% 26.40/3.79 inference(component_clause,[status(thm)],[f6198])).
% 26.40/3.79 fof(f6201,definition,(
% 26.40/3.79 sQ272_spl <=> (subset(relation_rng(sK51_skl),empty_set))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6203,plain,(
% 26.40/3.79 ~subset(relation_rng(sK51_skl),empty_set)|sQ272_spl),
% 26.40/3.79 inference(component_clause,[status(thm)],[f6201])).
% 26.40/3.79 fof(f6204,plain,(
% 26.40/3.79 sQ271_spl|~sQ272_spl|~sQ5_spl|~sQ16_spl|~sQ29_spl|~sQ159_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6181,f6198,f6201,f880,f953,f1085,f2744])).
% 26.40/3.79 fof(f6205,definition,(
% 26.40/3.79 ![X0]: (sQ273_spl <=> (relation_rng(empty_set)=relation_rng(relation_composition(identity_relation(X0),empty_set))|~relation(identity_relation(X0))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6208,plain,(
% 26.40/3.79 sQ273_spl|~sQ147_spl|~sQ19_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6182,f6205,f2647,f986])).
% 26.40/3.79 fof(f6209,definition,(
% 26.40/3.79 sQ274_spl <=> (relation_rng(empty_set)=relation_rng(relation_composition(sK42_skl,empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6212,plain,(
% 26.40/3.79 sQ274_spl|~sQ147_spl|~sQ7_spl|~sQ19_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6183,f6209,f2647,f908,f986])).
% 26.40/3.79 fof(f6213,definition,(
% 26.40/3.79 sQ275_spl <=> (relation_rng(empty_set)=relation_rng(relation_composition(sK51_skl,empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6216,plain,(
% 26.40/3.79 sQ275_spl|~sQ147_spl|~sQ16_spl|~sQ19_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6184,f6213,f2647,f953,f986])).
% 26.40/3.79 fof(f6217,definition,(
% 26.40/3.79 ![X0]: (sQ276_spl <=> (relation_rng(identity_relation(X0))=relation_rng(relation_composition(empty_set,identity_relation(X0)))|~subset(relation_rng(identity_relation(X0)),relation_rng(empty_set))|~relation(identity_relation(X0))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6220,plain,(
% 26.40/3.79 sQ276_spl|~sQ19_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6185,f6217,f986])).
% 26.40/3.79 fof(f6221,plain,(
% 26.40/3.79 sQ158_spl|~sQ147_spl|~sQ19_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6186,f2740,f2647,f986])).
% 26.40/3.79 fof(f6222,definition,(
% 26.40/3.79 sQ277_spl <=> (relation_rng(sK42_skl)=relation_rng(relation_composition(empty_set,sK42_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6223,plain,(
% 26.40/3.79 relation_rng(sK42_skl)=relation_rng(relation_composition(empty_set,sK42_skl))|~sQ277_spl),
% 26.40/3.79 inference(component_clause,[status(thm)],[f6222])).
% 26.40/3.79 fof(f6225,definition,(
% 26.40/3.79 sQ278_spl <=> (subset(relation_rng(sK42_skl),relation_rng(empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6228,plain,(
% 26.40/3.79 sQ277_spl|~sQ278_spl|~sQ19_spl|~sQ7_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6187,f6222,f6225,f986,f908])).
% 26.40/3.79 fof(f6229,definition,(
% 26.40/3.79 sQ279_spl <=> (relation_rng(sK51_skl)=relation_rng(relation_composition(empty_set,sK51_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6232,definition,(
% 26.40/3.79 sQ280_spl <=> (subset(relation_rng(sK51_skl),relation_rng(empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6235,plain,(
% 26.40/3.79 sQ279_spl|~sQ280_spl|~sQ19_spl|~sQ16_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6188,f6229,f6232,f986,f953])).
% 26.40/3.79 fof(f6249,plain,(
% 26.40/3.79 ![X0]: (~subset(relation_dom(sK51_skl),X0)|relation_rng(relation_composition(identity_relation(X0),sK51_skl))=empty_set|~sQ29_spl|~sQ159_spl|~sQ271_spl)),
% 26.40/3.79 inference(backward_demodulation,[status(thm)],[f6250,f1364])).
% 26.40/3.79 fof(f6250,plain,(
% 26.40/3.79 relation_rng(sK51_skl)=empty_set|~sQ29_spl|~sQ159_spl|~sQ271_spl),
% 26.40/3.79 inference(forward_demodulation,[status(thm)],[f2768,f6199])).
% 26.40/3.79 fof(f6251,plain,(
% 26.40/3.79 relation_rng(sK42_skl)=relation_rng(empty_set)|~sQ277_spl),
% 26.40/3.79 inference(forward_demodulation,[status(thm)],[f2370,f6223])).
% 26.40/3.79 fof(f6253,plain,(
% 26.40/3.79 relation_rng(sK42_skl)=empty_set|~sQ277_spl),
% 26.40/3.79 inference(forward_demodulation,[status(thm)],[f639,f6251])).
% 26.40/3.79 fof(f6268,plain,(
% 26.40/3.79 ![X0]: (relation_rng(sK51_skl)=relation_rng(relation_composition(X0,sK51_skl))|~subset(empty_set,relation_rng(relation_composition(X0,sK51_skl)))|~relation(X0)|~relation(sK51_skl)|~sQ29_spl|~sQ159_spl|~sQ271_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6250,f1073])).
% 26.40/3.79 fof(f6269,plain,(
% 26.40/3.79 ~relation(sK51_skl)|~subset(empty_set,empty_set)|relation_dom(relation_composition(sK51_skl,empty_set))=relation_dom(sK51_skl)|~sQ22_spl|~sQ29_spl|~sQ159_spl|~sQ271_spl),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6250,f998])).
% 26.40/3.79 fof(f6270,plain,(
% 26.40/3.79 ![X0]: (~relation(sK51_skl)|~subset(X0,empty_set)|relation_rng(relation_composition(sK51_skl,identity_relation(X0)))=X0|~sQ29_spl|~sQ159_spl|~sQ271_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6250,f825])).
% 26.40/3.79 fof(f6271,plain,(
% 26.40/3.79 ![X0]: (~relation(sK51_skl)|~subset(empty_set,X0)|relation_dom(relation_composition(sK51_skl,identity_relation(X0)))=relation_dom(sK51_skl)|~sQ29_spl|~sQ159_spl|~sQ271_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6250,f808])).
% 26.40/3.79 fof(f6272,plain,(
% 26.40/3.79 ![X0]: (~relation(X0)|~relation(sK51_skl)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(sK51_skl,X0))=relation_rng(X0)|~sQ29_spl|~sQ159_spl|~sQ271_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6250,f612])).
% 26.40/3.79 fof(f6273,plain,(
% 26.40/3.79 ![X0]: (~relation(sK51_skl)|~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(sK51_skl,X0))=relation_dom(sK51_skl)|~sQ29_spl|~sQ159_spl|~sQ271_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6250,f606])).
% 26.40/3.79 fof(f6274,plain,(
% 26.40/3.79 ![X0]: (~relation(X0)|~relation(sK51_skl)|subset(relation_rng(relation_composition(X0,sK51_skl)),empty_set)|~sQ29_spl|~sQ159_spl|~sQ271_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6250,f602])).
% 26.40/3.79 fof(f6275,definition,(
% 26.40/3.79 ![X0]: (sQ281_spl <=> (relation_rng(sK51_skl)=relation_rng(relation_composition(X0,sK51_skl))|~subset(empty_set,relation_rng(relation_composition(X0,sK51_skl)))|~relation(X0)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6278,plain,(
% 26.40/3.79 sQ281_spl|~sQ16_spl|~sQ29_spl|~sQ159_spl|~sQ271_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6268,f6275,f953,f1085,f2744,f6198])).
% 26.40/3.79 fof(f6279,definition,(
% 26.40/3.79 sQ282_spl <=> (relation_dom(relation_composition(sK51_skl,empty_set))=relation_dom(sK51_skl))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6280,plain,(
% 26.40/3.79 relation_dom(relation_composition(sK51_skl,empty_set))=relation_dom(sK51_skl)|~sQ282_spl),
% 26.40/3.79 inference(component_clause,[status(thm)],[f6279])).
% 26.40/3.79 fof(f6282,plain,(
% 26.40/3.79 ~sQ16_spl|~sQ4_spl|sQ282_spl|~sQ22_spl|~sQ29_spl|~sQ159_spl|~sQ271_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6269,f953,f876,f6279,f997,f1085,f2744,f6198])).
% 26.40/3.79 fof(f6283,definition,(
% 26.40/3.79 ![X0]: (sQ283_spl <=> (~subset(X0,empty_set)|relation_rng(relation_composition(sK51_skl,identity_relation(X0)))=X0))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6286,plain,(
% 26.40/3.79 ~sQ16_spl|sQ283_spl|~sQ29_spl|~sQ159_spl|~sQ271_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6270,f953,f6283,f1085,f2744,f6198])).
% 26.40/3.79 fof(f6287,definition,(
% 26.40/3.79 ![X0]: (sQ284_spl <=> (~subset(empty_set,X0)|relation_dom(relation_composition(sK51_skl,identity_relation(X0)))=relation_dom(sK51_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6288,plain,(
% 26.40/3.79 ![X0]: (~subset(empty_set,X0)|relation_dom(relation_composition(sK51_skl,identity_relation(X0)))=relation_dom(sK51_skl)|~sQ284_spl)),
% 26.40/3.79 inference(component_clause,[status(thm)],[f6287])).
% 26.40/3.79 fof(f6290,plain,(
% 26.40/3.79 ~sQ16_spl|sQ284_spl|~sQ29_spl|~sQ159_spl|~sQ271_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6271,f953,f6287,f1085,f2744,f6198])).
% 26.40/3.79 fof(f6291,definition,(
% 26.40/3.79 ![X0]: (sQ285_spl <=> (~relation(X0)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(sK51_skl,X0))=relation_rng(X0)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6294,plain,(
% 26.40/3.79 sQ285_spl|~sQ16_spl|~sQ29_spl|~sQ159_spl|~sQ271_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6272,f6291,f953,f1085,f2744,f6198])).
% 26.40/3.79 fof(f6295,definition,(
% 26.40/3.79 ![X0]: (sQ286_spl <=> (~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(sK51_skl,X0))=relation_dom(sK51_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6298,plain,(
% 26.40/3.79 ~sQ16_spl|sQ286_spl|~sQ29_spl|~sQ159_spl|~sQ271_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6273,f953,f6295,f1085,f2744,f6198])).
% 26.40/3.79 fof(f6299,definition,(
% 26.40/3.79 ![X0]: (sQ287_spl <=> (~relation(X0)|subset(relation_rng(relation_composition(X0,sK51_skl)),empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6302,plain,(
% 26.40/3.79 sQ287_spl|~sQ16_spl|~sQ29_spl|~sQ159_spl|~sQ271_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6274,f6299,f953,f1085,f2744,f6198])).
% 26.40/3.79 fof(f6305,plain,(
% 26.40/3.79 relation_dom(empty_set)=relation_dom(sK51_skl)|~sQ282_spl),
% 26.40/3.79 inference(forward_demodulation,[status(thm)],[f2991,f6280])).
% 26.40/3.79 fof(f6306,plain,(
% 26.40/3.79 ![X0]: (~subset(empty_set,X0)|relation_rng(relation_composition(identity_relation(X0),sK51_skl))=empty_set|~sQ282_spl|~sQ29_spl|~sQ159_spl|~sQ271_spl)),
% 26.40/3.79 inference(backward_demodulation,[status(thm)],[f6307,f6249])).
% 26.40/3.79 fof(f6307,plain,(
% 26.40/3.79 empty_set=relation_dom(sK51_skl)|~sQ282_spl),
% 26.40/3.79 inference(forward_demodulation,[status(thm)],[f638,f6305])).
% 26.40/3.79 fof(f6308,plain,(
% 26.40/3.79 ![X0]: (~subset(empty_set,X0)|relation_dom(relation_composition(sK51_skl,identity_relation(X0)))=empty_set|~sQ282_spl|~sQ284_spl)),
% 26.40/3.79 inference(forward_demodulation,[status(thm)],[f6307,f6288])).
% 26.40/3.79 fof(f6309,plain,(
% 26.40/3.79 ![X0]: (relation_dom(relation_composition(sK51_skl,identity_relation(X0)))=empty_set|~sQ282_spl|~sQ284_spl)),
% 26.40/3.79 inference(forward_subsumption_resolution,[status(thm)],[f6308,f547])).
% 26.40/3.79 fof(f6313,plain,(
% 26.40/3.79 ![X0]: (relation_rng(relation_composition(identity_relation(X0),sK51_skl))=empty_set|~sQ282_spl|~sQ29_spl|~sQ159_spl|~sQ271_spl)),
% 26.40/3.79 inference(forward_subsumption_resolution,[status(thm)],[f6306,f547])).
% 26.40/3.79 fof(f6314,plain,(
% 26.40/3.79 ![X0]: (relation_rng(sK42_skl)=relation_rng(relation_composition(X0,sK42_skl))|~subset(empty_set,relation_rng(relation_composition(X0,sK42_skl)))|~relation(X0)|~relation(sK42_skl)|~sQ277_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6253,f1073])).
% 26.40/3.79 fof(f6315,plain,(
% 26.40/3.79 ~relation(sK42_skl)|~subset(empty_set,empty_set)|relation_dom(relation_composition(sK42_skl,empty_set))=relation_dom(sK42_skl)|~sQ22_spl|~sQ277_spl),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6253,f998])).
% 26.40/3.79 fof(f6316,plain,(
% 26.40/3.79 ![X0]: (~relation(sK42_skl)|~subset(X0,empty_set)|relation_rng(relation_composition(sK42_skl,identity_relation(X0)))=X0|~sQ277_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6253,f825])).
% 26.40/3.79 fof(f6317,plain,(
% 26.40/3.79 ![X0]: (~relation(sK42_skl)|~subset(empty_set,X0)|relation_dom(relation_composition(sK42_skl,identity_relation(X0)))=relation_dom(sK42_skl)|~sQ277_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6253,f808])).
% 26.40/3.79 fof(f6318,plain,(
% 26.40/3.79 ![X0]: (~relation(X0)|~relation(sK42_skl)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(sK42_skl,X0))=relation_rng(X0)|~sQ277_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6253,f612])).
% 26.40/3.79 fof(f6319,plain,(
% 26.40/3.79 ![X0]: (~relation(sK42_skl)|~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(sK42_skl,X0))=relation_dom(sK42_skl)|~sQ277_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6253,f606])).
% 26.40/3.79 fof(f6320,plain,(
% 26.40/3.79 ![X0]: (~relation(X0)|~relation(sK42_skl)|subset(relation_rng(relation_composition(X0,sK42_skl)),empty_set)|~sQ277_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6253,f602])).
% 26.40/3.79 fof(f6321,definition,(
% 26.40/3.79 ![X0]: (sQ288_spl <=> (relation_rng(sK42_skl)=relation_rng(relation_composition(X0,sK42_skl))|~subset(empty_set,relation_rng(relation_composition(X0,sK42_skl)))|~relation(X0)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6324,plain,(
% 26.40/3.79 sQ288_spl|~sQ7_spl|~sQ277_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6314,f6321,f908,f6222])).
% 26.40/3.79 fof(f6325,definition,(
% 26.40/3.79 sQ289_spl <=> (relation_dom(relation_composition(sK42_skl,empty_set))=relation_dom(sK42_skl))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6328,plain,(
% 26.40/3.79 ~sQ7_spl|~sQ4_spl|sQ289_spl|~sQ22_spl|~sQ277_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6315,f908,f876,f6325,f997,f6222])).
% 26.40/3.79 fof(f6329,definition,(
% 26.40/3.79 ![X0]: (sQ290_spl <=> (~subset(X0,empty_set)|relation_rng(relation_composition(sK42_skl,identity_relation(X0)))=X0))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6332,plain,(
% 26.40/3.79 ~sQ7_spl|sQ290_spl|~sQ277_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6316,f908,f6329,f6222])).
% 26.40/3.79 fof(f6333,definition,(
% 26.40/3.79 ![X0]: (sQ291_spl <=> (~subset(empty_set,X0)|relation_dom(relation_composition(sK42_skl,identity_relation(X0)))=relation_dom(sK42_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6336,plain,(
% 26.40/3.79 ~sQ7_spl|sQ291_spl|~sQ277_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6317,f908,f6333,f6222])).
% 26.40/3.79 fof(f6337,definition,(
% 26.40/3.79 ![X0]: (sQ292_spl <=> (~relation(X0)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(sK42_skl,X0))=relation_rng(X0)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6340,plain,(
% 26.40/3.79 sQ292_spl|~sQ7_spl|~sQ277_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6318,f6337,f908,f6222])).
% 26.40/3.79 fof(f6341,definition,(
% 26.40/3.79 ![X0]: (sQ293_spl <=> (~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(sK42_skl,X0))=relation_dom(sK42_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6344,plain,(
% 26.40/3.79 ~sQ7_spl|sQ293_spl|~sQ277_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6319,f908,f6341,f6222])).
% 26.40/3.79 fof(f6345,definition,(
% 26.40/3.79 ![X0]: (sQ294_spl <=> (~relation(X0)|subset(relation_rng(relation_composition(X0,sK42_skl)),empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6348,plain,(
% 26.40/3.79 sQ294_spl|~sQ7_spl|~sQ277_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6320,f6345,f908,f6222])).
% 26.40/3.79 fof(f6352,plain,(
% 26.40/3.79 ~relation(sK51_skl)|~subset(empty_set,empty_set)|relation_rng(relation_composition(empty_set,sK51_skl))=relation_rng(sK51_skl)|~sQ24_spl|~sQ282_spl),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6307,f1013])).
% 26.40/3.79 fof(f6353,plain,(
% 26.40/3.79 ![X0]: (~relation(sK51_skl)|~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,sK51_skl))=relation_rng(sK51_skl)|~sQ282_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6307,f612])).
% 26.40/3.79 fof(f6354,plain,(
% 26.40/3.79 ![X0]: (~relation(sK51_skl)|~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),sK51_skl))=X0|~sQ282_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6307,f807])).
% 26.40/3.79 fof(f6355,plain,(
% 26.40/3.79 ![X0]: (~relation(X0)|~relation(sK51_skl)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,sK51_skl))=relation_dom(X0)|~sQ282_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6307,f606])).
% 26.40/3.79 fof(f6356,plain,(
% 26.40/3.79 ![X0]: (~relation(sK51_skl)|~relation(X0)|subset(relation_dom(relation_composition(sK51_skl,X0)),empty_set)|~sQ282_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6307,f600])).
% 26.40/3.79 fof(f6357,plain,(
% 26.40/3.79 ~sQ16_spl|~sQ4_spl|sQ279_spl|~sQ24_spl|~sQ282_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6352,f953,f876,f6229,f1012,f6279])).
% 26.40/3.79 fof(f6358,definition,(
% 26.40/3.79 ![X0]: (sQ295_spl <=> (~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,sK51_skl))=relation_rng(sK51_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6361,plain,(
% 26.40/3.79 ~sQ16_spl|sQ295_spl|~sQ282_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6353,f953,f6358,f6279])).
% 26.40/3.79 fof(f6362,definition,(
% 26.40/3.79 ![X0]: (sQ296_spl <=> (~subset(X0,empty_set)|relation_dom(relation_composition(identity_relation(X0),sK51_skl))=X0))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6365,plain,(
% 26.40/3.79 ~sQ16_spl|sQ296_spl|~sQ282_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6354,f953,f6362,f6279])).
% 26.40/3.79 fof(f6366,definition,(
% 26.40/3.79 ![X0]: (sQ297_spl <=> (~relation(X0)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,sK51_skl))=relation_dom(X0)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6369,plain,(
% 26.40/3.79 sQ297_spl|~sQ16_spl|~sQ282_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6355,f6366,f953,f6279])).
% 26.40/3.79 fof(f6370,definition,(
% 26.40/3.79 ![X0]: (sQ298_spl <=> (~relation(X0)|subset(relation_dom(relation_composition(sK51_skl,X0)),empty_set)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6373,plain,(
% 26.40/3.79 ~sQ16_spl|sQ298_spl|~sQ282_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6356,f953,f6370,f6279])).
% 26.40/3.79 fof(f6607,plain,(
% 26.40/3.79 ![X0]: (~relation(sK51_skl)|~relation(identity_relation(X0))|subset(empty_set,relation_dom(sK51_skl))|~sQ282_spl|~sQ284_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6309,f600])).
% 26.40/3.79 fof(f6608,plain,(
% 26.40/3.79 ![X0]: (~relation(relation_composition(sK51_skl,identity_relation(X0)))|~subset(empty_set,empty_set)|relation_rng(relation_composition(empty_set,relation_composition(sK51_skl,identity_relation(X0))))=relation_rng(relation_composition(sK51_skl,identity_relation(X0)))|~sQ24_spl|~sQ282_spl|~sQ284_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6309,f1013])).
% 26.40/3.79 fof(f6613,definition,(
% 26.40/3.79 sQ300_spl <=> (subset(empty_set,relation_dom(sK51_skl)))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6616,plain,(
% 26.40/3.79 ~sQ16_spl|sQ3_spl|sQ300_spl|~sQ282_spl|~sQ284_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6607,f953,f873,f6613,f6279,f6287])).
% 26.40/3.79 fof(f6617,definition,(
% 26.40/3.79 ![X0]: (sQ301_spl <=> (~relation(relation_composition(sK51_skl,identity_relation(X0)))|relation_rng(relation_composition(empty_set,relation_composition(sK51_skl,identity_relation(X0))))=relation_rng(relation_composition(sK51_skl,identity_relation(X0)))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6620,plain,(
% 26.40/3.79 sQ301_spl|~sQ4_spl|~sQ24_spl|~sQ282_spl|~sQ284_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6608,f6617,f876,f1012,f6279,f6287])).
% 26.40/3.79 fof(f6623,plain,(
% 26.40/3.79 ![X0]: (relation_rng(sK51_skl)=relation_rng(relation_composition(identity_relation(X0),sK51_skl))|~subset(relation_rng(sK51_skl),empty_set)|~relation(identity_relation(X0))|~relation(sK51_skl)|~sQ282_spl|~sQ29_spl|~sQ159_spl|~sQ271_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6313,f1073])).
% 26.40/3.79 fof(f6626,plain,(
% 26.40/3.79 ![X0]: (~relation(relation_composition(identity_relation(X0),sK51_skl))|~subset(empty_set,empty_set)|relation_dom(relation_composition(relation_composition(identity_relation(X0),sK51_skl),empty_set))=relation_dom(relation_composition(identity_relation(X0),sK51_skl))|~sQ22_spl|~sQ282_spl|~sQ29_spl|~sQ159_spl|~sQ271_spl)),
% 26.40/3.79 inference(paramodulation,[status(thm)],[f6313,f998])).
% 26.40/3.79 fof(f6632,definition,(
% 26.40/3.79 ![X0]: (sQ302_spl <=> (relation_rng(sK51_skl)=relation_rng(relation_composition(identity_relation(X0),sK51_skl))|~relation(identity_relation(X0))))),
% 26.40/3.79 introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition])).
% 26.40/3.79 fof(f6635,plain,(
% 26.40/3.79 sQ302_spl|~sQ272_spl|~sQ16_spl|~sQ282_spl|~sQ29_spl|~sQ159_spl|~sQ271_spl),
% 26.40/3.79 inference(split_clause,[status(thm)],[f6623,f6632,f6201,f953,f6279,f1085,f2744,f6198])).
% 26.40/3.80 fof(f6639,definition,(
% 26.40/3.80 ![X0]: (sQ303_spl <=> (~relation(relation_composition(identity_relation(X0),sK51_skl))|relation_dom(relation_composition(relation_composition(identity_relation(X0),sK51_skl),empty_set))=relation_dom(relation_composition(identity_relation(X0),sK51_skl))))),
% 26.40/3.80 introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition])).
% 26.40/3.80 fof(f6642,plain,(
% 26.40/3.80 sQ303_spl|~sQ4_spl|~sQ22_spl|~sQ282_spl|~sQ29_spl|~sQ159_spl|~sQ271_spl),
% 26.40/3.80 inference(split_clause,[status(thm)],[f6626,f6639,f876,f997,f6279,f1085,f2744,f6198])).
% 26.40/3.80 fof(f6645,plain,(
% 26.40/3.80 ~subset(empty_set,empty_set)|~sQ29_spl|~sQ159_spl|~sQ271_spl|sQ272_spl),
% 26.40/3.80 inference(forward_demodulation,[status(thm)],[f6250,f6203])).
% 26.40/3.80 fof(f6646,plain,(
% 26.40/3.80 $false|~sQ29_spl|~sQ159_spl|~sQ271_spl|sQ272_spl),
% 26.40/3.80 inference(forward_subsumption_resolution,[status(thm)],[f6645,f547])).
% 26.40/3.80 fof(f6647,plain,(
% 26.40/3.80 ~sQ29_spl|~sQ159_spl|~sQ271_spl|sQ272_spl),
% 26.40/3.80 inference(contradiction_clause,[status(thm)],[f6646])).
% 26.40/3.80 fof(f6652,plain,(
% 26.40/3.80 ~in(ordered_pair(sK52_skl,sK53_skl),sK51_skl)|~sQ165_spl|~sQ52_spl),
% 26.40/3.80 inference(resolution,[status(thm)],[f2857,f1340])).
% 26.40/3.80 fof(f6661,plain,(
% 26.40/3.80 ~sQ2_spl|~sQ165_spl|~sQ52_spl),
% 26.40/3.80 inference(split_clause,[status(thm)],[f6652,f715,f2856,f1339])).
% 26.40/3.80 fof(f6663,plain,(
% 26.40/3.80 $false),
% 26.40/3.80 inference(sat_refutation,[status(thm)],[f714,f718,f719,f879,f886,f889,f891,f919,f923,f927,f931,f944,f946,f959,f966,f969,f971,f992,f996,f1000,f1004,f1006,f1015,f1019,f1023,f1054,f1070,f1091,f1095,f1099,f1103,f1113,f1130,f1134,f1138,f1142,f1168,f1172,f1176,f1180,f1190,f1205,f1287,f1302,f1306,f1315,f1331,f1342,f1458,f1499,f1500,f1537,f1567,f1571,f1575,f1579,f1583,f1591,f1612,f1616,f1620,f1624,f1628,f1676,f1706,f1745,f1749,f1753,f1757,f1761,f1769,f1795,f1813,f1962,f2006,f2010,f2014,f2018,f2024,f2048,f2052,f2056,f2060,f2068,f2080,f2084,f2088,f2092,f2096,f2276,f2280,f2284,f2288,f2292,f2296,f2307,f2326,f2332,f2338,f2346,f2350,f2354,f2358,f2362,f2498,f2502,f2506,f2510,f2514,f2518,f2522,f2526,f2530,f2565,f2569,f2573,f2577,f2581,f2585,f2589,f2593,f2622,f2626,f2630,f2634,f2638,f2642,f2646,f2651,f2681,f2685,f2689,f2693,f2697,f2701,f2705,f2709,f2713,f2747,f2751,f2755,f2759,f2798,f2859,f2888,f2889,f2919,f2923,f2927,f2931,f2935,f2939,f2943,f2947,f2952,f2970,f2977,f3170,f3174,f3178,f3182,f3186,f3190,f3194,f3199,f3227,f3231,f3235,f3239,f3243,f3247,f3251,f3256,f3308,f3443,f3466,f3500,f3504,f3508,f3512,f3516,f3520,f3524,f3564,f3568,f3575,f3582,f3586,f3590,f3594,f3602,f3603,f3695,f3699,f3703,f3715,f3718,f3739,f3811,f3840,f3845,f3849,f3853,f3857,f3861,f3865,f3869,f3870,f3874,f4075,f5001,f5004,f5007,f5490,f5621,f5631,f6192,f6196,f6204,f6208,f6212,f6216,f6220,f6221,f6228,f6235,f6278,f6282,f6286,f6290,f6294,f6298,f6302,f6324,f6328,f6332,f6336,f6340,f6344,f6348,f6357,f6361,f6365,f6369,f6373,f6616,f6620,f6635,f6642,f6647,f6661])).
% 26.40/3.80 % SZS output end CNFRefutation for theBenchmark.p
% 26.40/3.83 % Elapsed time: 3.452052 seconds
% 26.40/3.83 % CPU time: 26.816991 seconds
% 26.40/3.83 % Total memory used: 289.946 MB
% 26.40/3.83 % Net memory used: 264.264 MB
%------------------------------------------------------------------------------