%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU191+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:36:11 EDT 2023

% Result   : Theorem 7.55s 1.46s
% Output   : CNFRefutation 8.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU191+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 08:59:02 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  % Drodi V3.5.1
% 7.55/1.46  % Refutation found
% 7.55/1.46  % SZS status Theorem for theBenchmark: Theorem is valid
% 7.55/1.46  % SZS output start CNFRefutation for theBenchmark
% 7.55/1.46  fof(f1,axiom,(
% 7.55/1.46    (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f3,axiom,(
% 7.55/1.46    (! [A] :( empty(A)=> relation(A) ) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f7,axiom,(
% 7.55/1.46    (! [A,B] :( relation(B)=> ( B = identity_relation(A)<=> (! [C,D] :( in(ordered_pair(C,D),B)<=> ( in(C,A)& C = D ) ) )) ) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f8,axiom,(
% 7.55/1.46    (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f30,axiom,(
% 7.55/1.46    (! [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) ) )) )) ) )) )) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f50,axiom,(
% 7.55/1.46    (! [A,B] :( ( relation(A)& relation(B) )=> relation(relation_composition(A,B)) ) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f52,axiom,(
% 7.55/1.46    (! [A] : relation(identity_relation(A)) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f60,axiom,(
% 7.55/1.46    empty(empty_set) ),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f67,axiom,(
% 7.55/1.46    ( empty(empty_set)& relation(empty_set) ) ),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f71,axiom,(
% 7.55/1.46    (! [A] :( empty(A)=> ( empty(relation_dom(A))& relation(relation_dom(A)) ) ) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f73,axiom,(
% 7.55/1.46    (! [A,B] :( ( empty(A)& relation(B) )=> ( empty(relation_composition(A,B))& relation(relation_composition(A,B)) ) ) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f92,axiom,(
% 7.55/1.46    (? [A] :( empty(A)& relation(A) ) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f94,axiom,(
% 7.55/1.46    (? [A] : empty(A) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f95,axiom,(
% 7.55/1.46    (? [A] :( ~ empty(A)& relation(A) ) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f123,lemma,(
% 7.55/1.46    (! [A] : subset(empty_set,A) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f140,lemma,(
% 7.55/1.46    (! [A] :( relation(A)=> (! [B] :( relation(B)=> subset(relation_dom(relation_composition(A,B)),relation_dom(A)) ) )) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f141,lemma,(
% 7.55/1.46    (! [A] :( relation(A)=> (! [B] :( relation(B)=> subset(relation_rng(relation_composition(A,B)),relation_rng(B)) ) )) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f143,lemma,(
% 7.55/1.46    (! [A] :( relation(A)=> (! [B] :( relation(B)=> ( subset(relation_rng(A),relation_dom(B))=> relation_dom(relation_composition(A,B)) = relation_dom(A) ) ) )) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f146,lemma,(
% 7.55/1.46    (! [A] :( relation(A)=> (! [B] :( relation(B)=> ( subset(relation_dom(A),relation_rng(B))=> relation_rng(relation_composition(B,A)) = relation_rng(A) ) ) )) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f157,lemma,(
% 7.55/1.46    ( relation_dom(empty_set) = empty_set& relation_rng(empty_set) = empty_set ) ),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f158,lemma,(
% 7.55/1.46    (! [A,B] :~ ( subset(A,B)& proper_subset(B,A) ) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f164,axiom,(
% 7.55/1.46    (! [A] :( empty(A)=> A = empty_set ) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f166,lemma,(
% 7.55/1.46    (! [A] :( relation_dom(identity_relation(A)) = A& relation_rng(identity_relation(A)) = A ) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f167,conjecture,(
% 7.55/1.46    (! [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) ) ) ) )),
% 7.55/1.46    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.55/1.46  fof(f168,negated_conjecture,(
% 7.55/1.46    ~((! [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) ) ) ) ))),
% 7.55/1.46    inference(negated_conjecture,[status(cth)],[f167])).
% 7.55/1.46  fof(f179,plain,(
% 7.55/1.46    ![A,B]: (~in(A,B)|~in(B,A))),
% 7.55/1.46    inference(pre_NNF_transformation,[status(esa)],[f1])).
% 7.55/1.46  fof(f180,plain,(
% 7.55/1.46    ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f179])).
% 7.55/1.46  fof(f183,plain,(
% 7.55/1.46    ![A]: (~empty(A)|relation(A))),
% 7.55/1.46    inference(pre_NNF_transformation,[status(esa)],[f3])).
% 7.55/1.46  fof(f184,plain,(
% 7.55/1.46    ![X0]: (~empty(X0)|relation(X0))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f183])).
% 7.55/1.46  fof(f188,plain,(
% 7.55/1.46    ![A,B]: (~relation(B)|(B=identity_relation(A)<=>(![C,D]: (in(ordered_pair(C,D),B)<=>(in(C,A)&C=D)))))),
% 7.55/1.46    inference(pre_NNF_transformation,[status(esa)],[f7])).
% 7.55/1.46  fof(f189,plain,(
% 7.55/1.46    ![A,B]: (~relation(B)|((~B=identity_relation(A)|(![C,D]: ((~in(ordered_pair(C,D),B)|(in(C,A)&C=D))&(in(ordered_pair(C,D),B)|(~in(C,A)|~C=D)))))&(B=identity_relation(A)|(?[C,D]: ((~in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))&(in(ordered_pair(C,D),B)|(in(C,A)&C=D)))))))),
% 7.55/1.46    inference(NNF_transformation,[status(esa)],[f188])).
% 7.55/1.46  fof(f190,plain,(
% 7.55/1.46    ![B]: (~relation(B)|((![A]: (~B=identity_relation(A)|((![C,D]: (~in(ordered_pair(C,D),B)|(in(C,A)&C=D)))&(![C,D]: (in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))))))&(![A]: (B=identity_relation(A)|(?[C,D]: ((~in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))&(in(ordered_pair(C,D),B)|(in(C,A)&C=D))))))))),
% 7.55/1.46    inference(miniscoping,[status(esa)],[f189])).
% 7.55/1.46  fof(f191,plain,(
% 7.55/1.46    ![B]: (~relation(B)|((![A]: (~B=identity_relation(A)|((![C,D]: (~in(ordered_pair(C,D),B)|(in(C,A)&C=D)))&(![C,D]: (in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))))))&(![A]: (B=identity_relation(A)|((~in(ordered_pair(sk0_0(A,B),sk0_1(A,B)),B)|(~in(sk0_0(A,B),A)|~sk0_0(A,B)=sk0_1(A,B)))&(in(ordered_pair(sk0_0(A,B),sk0_1(A,B)),B)|(in(sk0_0(A,B),A)&sk0_0(A,B)=sk0_1(A,B))))))))),
% 7.55/1.46    inference(skolemization,[status(esa)],[f190])).
% 7.55/1.46  fof(f192,plain,(
% 7.55/1.46    ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|~in(ordered_pair(X2,X3),X0)|in(X2,X1))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f191])).
% 7.55/1.46  fof(f193,plain,(
% 7.55/1.46    ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|~in(ordered_pair(X2,X3),X0)|X2=X3)),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f191])).
% 7.55/1.46  fof(f194,plain,(
% 7.55/1.46    ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|in(ordered_pair(X2,X3),X0)|~in(X2,X1)|~X2=X3)),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f191])).
% 7.55/1.46  fof(f198,plain,(
% 7.55/1.46    ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 7.55/1.46    inference(NNF_transformation,[status(esa)],[f8])).
% 7.55/1.46  fof(f199,plain,(
% 7.55/1.46    (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 7.55/1.46    inference(miniscoping,[status(esa)],[f198])).
% 7.55/1.46  fof(f200,plain,(
% 7.55/1.46    ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f199])).
% 7.55/1.46  fof(f343,plain,(
% 7.55/1.46    ![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)))))))))))),
% 7.55/1.46    inference(pre_NNF_transformation,[status(esa)],[f30])).
% 7.55/1.46  fof(f344,plain,(
% 7.55/1.46    ![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)))))))))))))),
% 7.55/1.46    inference(NNF_transformation,[status(esa)],[f343])).
% 7.55/1.46  fof(f345,plain,(
% 7.55/1.46    ![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)))))))))))))),
% 7.55/1.46    inference(miniscoping,[status(esa)],[f344])).
% 7.55/1.46  fof(f346,plain,(
% 7.55/1.46    ![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,sk0_32(E,D,C,B,A)),A)&in(ordered_pair(sk0_32(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(sk0_33(C,B,A),sk0_34(C,B,A)),C)|(![F]: (~in(ordered_pair(sk0_33(C,B,A),F),A)|~in(ordered_pair(F,sk0_34(C,B,A)),B))))&(in(ordered_pair(sk0_33(C,B,A),sk0_34(C,B,A)),C)|(in(ordered_pair(sk0_33(C,B,A),sk0_35(C,B,A)),A)&in(ordered_pair(sk0_35(C,B,A),sk0_34(C,B,A)),B)))))))))))),
% 7.55/1.46    inference(skolemization,[status(esa)],[f345])).
% 7.55/1.46  fof(f347,plain,(
% 7.55/1.46    ![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,sk0_32(X4,X3,X2,X1,X0)),X0))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f346])).
% 7.55/1.46  fof(f348,plain,(
% 7.55/1.46    ![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(sk0_32(X4,X3,X2,X1,X0),X4),X1))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f346])).
% 7.55/1.46  fof(f349,plain,(
% 7.55/1.46    ![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))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f346])).
% 7.55/1.46  fof(f371,plain,(
% 7.55/1.46    ![A,B]: ((~relation(A)|~relation(B))|relation(relation_composition(A,B)))),
% 7.55/1.46    inference(pre_NNF_transformation,[status(esa)],[f50])).
% 7.55/1.46  fof(f372,plain,(
% 7.55/1.46    ![X0,X1]: (~relation(X0)|~relation(X1)|relation(relation_composition(X0,X1)))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f371])).
% 7.55/1.46  fof(f375,plain,(
% 7.55/1.46    ![X0]: (relation(identity_relation(X0)))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f52])).
% 7.55/1.46  fof(f388,plain,(
% 7.55/1.46    empty(empty_set)),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f60])).
% 7.55/1.46  fof(f401,plain,(
% 7.55/1.46    relation(empty_set)),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f67])).
% 7.55/1.46  fof(f408,plain,(
% 7.55/1.46    ![A]: (~empty(A)|(empty(relation_dom(A))&relation(relation_dom(A))))),
% 7.55/1.46    inference(pre_NNF_transformation,[status(esa)],[f71])).
% 7.55/1.46  fof(f409,plain,(
% 7.55/1.46    ![X0]: (~empty(X0)|empty(relation_dom(X0)))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f408])).
% 7.55/1.46  fof(f410,plain,(
% 7.55/1.46    ![X0]: (~empty(X0)|relation(relation_dom(X0)))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f408])).
% 7.55/1.46  fof(f414,plain,(
% 7.55/1.46    ![A,B]: ((~empty(A)|~relation(B))|(empty(relation_composition(A,B))&relation(relation_composition(A,B))))),
% 7.55/1.46    inference(pre_NNF_transformation,[status(esa)],[f73])).
% 7.55/1.46  fof(f415,plain,(
% 7.55/1.46    ![X0,X1]: (~empty(X0)|~relation(X1)|empty(relation_composition(X0,X1)))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f414])).
% 7.55/1.46  fof(f465,plain,(
% 7.55/1.46    (empty(sk0_39)&relation(sk0_39))),
% 7.55/1.46    inference(skolemization,[status(esa)],[f92])).
% 7.55/1.46  fof(f467,plain,(
% 7.55/1.46    relation(sk0_39)),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f465])).
% 7.55/1.46  fof(f472,plain,(
% 7.55/1.46    empty(sk0_41)),
% 7.55/1.46    inference(skolemization,[status(esa)],[f94])).
% 7.55/1.46  fof(f473,plain,(
% 7.55/1.46    empty(sk0_41)),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f472])).
% 7.55/1.46  fof(f474,plain,(
% 7.55/1.46    (~empty(sk0_42)&relation(sk0_42))),
% 7.55/1.46    inference(skolemization,[status(esa)],[f95])).
% 7.55/1.46  fof(f476,plain,(
% 7.55/1.46    relation(sk0_42)),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f474])).
% 7.55/1.46  fof(f547,plain,(
% 7.55/1.46    ![X0]: (subset(empty_set,X0))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f123])).
% 7.55/1.46  fof(f599,plain,(
% 7.55/1.46    ![A]: (~relation(A)|(![B]: (~relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)))))),
% 7.55/1.46    inference(pre_NNF_transformation,[status(esa)],[f140])).
% 7.55/1.46  fof(f600,plain,(
% 7.55/1.46    ![X0,X1]: (~relation(X0)|~relation(X1)|subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f599])).
% 7.55/1.46  fof(f601,plain,(
% 7.55/1.46    ![A]: (~relation(A)|(![B]: (~relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)))))),
% 7.55/1.46    inference(pre_NNF_transformation,[status(esa)],[f141])).
% 7.55/1.46  fof(f602,plain,(
% 7.55/1.46    ![X0,X1]: (~relation(X0)|~relation(X1)|subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f601])).
% 7.55/1.46  fof(f605,plain,(
% 7.55/1.46    ![A]: (~relation(A)|(![B]: (~relation(B)|(~subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A)))))),
% 7.55/1.46    inference(pre_NNF_transformation,[status(esa)],[f143])).
% 7.55/1.46  fof(f606,plain,(
% 7.55/1.46    ![X0,X1]: (~relation(X0)|~relation(X1)|~subset(relation_rng(X0),relation_dom(X1))|relation_dom(relation_composition(X0,X1))=relation_dom(X0))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f605])).
% 7.55/1.46  fof(f611,plain,(
% 7.55/1.46    ![A]: (~relation(A)|(![B]: (~relation(B)|(~subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A)))))),
% 7.55/1.46    inference(pre_NNF_transformation,[status(esa)],[f146])).
% 7.55/1.46  fof(f612,plain,(
% 7.55/1.46    ![X0,X1]: (~relation(X0)|~relation(X1)|~subset(relation_dom(X0),relation_rng(X1))|relation_rng(relation_composition(X1,X0))=relation_rng(X0))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f611])).
% 7.55/1.46  fof(f638,plain,(
% 7.55/1.46    relation_dom(empty_set)=empty_set),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f157])).
% 7.55/1.46  fof(f639,plain,(
% 7.55/1.46    relation_rng(empty_set)=empty_set),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f157])).
% 7.55/1.46  fof(f640,plain,(
% 7.55/1.46    ![A,B]: (~subset(A,B)|~proper_subset(B,A))),
% 7.55/1.46    inference(pre_NNF_transformation,[status(esa)],[f158])).
% 7.55/1.46  fof(f641,plain,(
% 7.55/1.46    ![X0,X1]: (~subset(X0,X1)|~proper_subset(X1,X0))),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f640])).
% 7.55/1.46  fof(f657,plain,(
% 7.55/1.46    ![A]: (~empty(A)|A=empty_set)),
% 7.55/1.46    inference(pre_NNF_transformation,[status(esa)],[f164])).
% 7.55/1.46  fof(f658,plain,(
% 7.55/1.46    ![X0]: (~empty(X0)|X0=empty_set)),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f657])).
% 7.55/1.46  fof(f661,plain,(
% 7.55/1.46    (![A]: relation_dom(identity_relation(A))=A)&(![A]: relation_rng(identity_relation(A))=A)),
% 7.55/1.46    inference(miniscoping,[status(esa)],[f166])).
% 7.55/1.46  fof(f662,plain,(
% 7.55/1.46    ![X0]: (relation_dom(identity_relation(X0))=X0)),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f661])).
% 7.55/1.46  fof(f663,plain,(
% 7.55/1.46    ![X0]: (relation_rng(identity_relation(X0))=X0)),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f661])).
% 7.55/1.46  fof(f664,plain,(
% 7.55/1.46    (?[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)))))),
% 7.55/1.46    inference(pre_NNF_transformation,[status(esa)],[f168])).
% 7.55/1.46  fof(f665,plain,(
% 7.55/1.46    ?[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)))))),
% 7.55/1.46    inference(NNF_transformation,[status(esa)],[f664])).
% 7.55/1.46  fof(f666,plain,(
% 7.55/1.46    ?[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))))))),
% 7.55/1.46    inference(miniscoping,[status(esa)],[f665])).
% 7.55/1.46  fof(f667,plain,(
% 7.55/1.46    (relation(sk0_51)&((in(ordered_pair(sk0_52,sk0_53),relation_composition(identity_relation(sk0_54),sk0_51))|(in(sk0_52,sk0_54)&in(ordered_pair(sk0_52,sk0_53),sk0_51)))&(~in(ordered_pair(sk0_52,sk0_53),relation_composition(identity_relation(sk0_54),sk0_51))|(~in(sk0_52,sk0_54)|~in(ordered_pair(sk0_52,sk0_53),sk0_51)))))),
% 7.55/1.46    inference(skolemization,[status(esa)],[f666])).
% 7.55/1.46  fof(f668,plain,(
% 7.55/1.46    relation(sk0_51)),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f667])).
% 7.55/1.46  fof(f669,plain,(
% 7.55/1.46    in(ordered_pair(sk0_52,sk0_53),relation_composition(identity_relation(sk0_54),sk0_51))|in(sk0_52,sk0_54)),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f667])).
% 7.55/1.46  fof(f670,plain,(
% 7.55/1.46    in(ordered_pair(sk0_52,sk0_53),relation_composition(identity_relation(sk0_54),sk0_51))|in(ordered_pair(sk0_52,sk0_53),sk0_51)),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f667])).
% 7.55/1.46  fof(f671,plain,(
% 7.55/1.46    ~in(ordered_pair(sk0_52,sk0_53),relation_composition(identity_relation(sk0_54),sk0_51))|~in(sk0_52,sk0_54)|~in(ordered_pair(sk0_52,sk0_53),sk0_51)),
% 7.55/1.46    inference(cnf_transformation,[status(esa)],[f667])).
% 7.55/1.46  fof(f708,plain,(
% 7.55/1.46    spl0_0 <=> in(ordered_pair(sk0_52,sk0_53),relation_composition(identity_relation(sk0_54),sk0_51))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f709,plain,(
% 7.55/1.46    in(ordered_pair(sk0_52,sk0_53),relation_composition(identity_relation(sk0_54),sk0_51))|~spl0_0),
% 7.55/1.46    inference(component_clause,[status(thm)],[f708])).
% 7.55/1.46  fof(f710,plain,(
% 7.55/1.46    ~in(ordered_pair(sk0_52,sk0_53),relation_composition(identity_relation(sk0_54),sk0_51))|spl0_0),
% 7.55/1.46    inference(component_clause,[status(thm)],[f708])).
% 7.55/1.46  fof(f711,plain,(
% 7.55/1.46    spl0_1 <=> in(sk0_52,sk0_54)),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f714,plain,(
% 7.55/1.46    spl0_0|spl0_1),
% 7.55/1.46    inference(split_clause,[status(thm)],[f669,f708,f711])).
% 7.55/1.46  fof(f715,plain,(
% 7.55/1.46    spl0_2 <=> in(ordered_pair(sk0_52,sk0_53),sk0_51)),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f717,plain,(
% 7.55/1.46    ~in(ordered_pair(sk0_52,sk0_53),sk0_51)|spl0_2),
% 7.55/1.46    inference(component_clause,[status(thm)],[f715])).
% 7.55/1.46  fof(f718,plain,(
% 7.55/1.46    spl0_0|spl0_2),
% 7.55/1.46    inference(split_clause,[status(thm)],[f670,f708,f715])).
% 7.55/1.46  fof(f719,plain,(
% 7.55/1.46    ~spl0_0|~spl0_1|~spl0_2),
% 7.55/1.46    inference(split_clause,[status(thm)],[f671,f708,f711,f715])).
% 7.55/1.46  fof(f720,plain,(
% 7.55/1.46    ![X0,X1,X2]: (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),identity_relation(X0))|in(X1,X0))),
% 7.55/1.46    inference(destructive_equality_resolution,[status(esa)],[f192])).
% 7.55/1.46  fof(f721,plain,(
% 7.55/1.46    ![X0,X1,X2]: (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),identity_relation(X0))|X1=X2)),
% 7.55/1.46    inference(destructive_equality_resolution,[status(esa)],[f193])).
% 7.55/1.46  fof(f722,plain,(
% 7.55/1.46    ![X0,X1]: (~relation(identity_relation(X0))|in(ordered_pair(X1,X1),identity_relation(X0))|~in(X1,X0))),
% 7.55/1.46    inference(destructive_equality_resolution,[status(esa)],[f194])).
% 7.55/1.46  fof(f723,plain,(
% 7.55/1.46    ![X0]: (subset(X0,X0))),
% 7.55/1.46    inference(destructive_equality_resolution,[status(esa)],[f200])).
% 7.55/1.46  fof(f759,plain,(
% 7.55/1.46    ![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,sk0_32(X3,X2,relation_composition(X0,X1),X1,X0)),X0))),
% 7.55/1.46    inference(destructive_equality_resolution,[status(esa)],[f347])).
% 7.55/1.46  fof(f760,plain,(
% 7.55/1.46    ![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(sk0_32(X3,X2,relation_composition(X0,X1),X1,X0),X3),X1))),
% 7.55/1.46    inference(destructive_equality_resolution,[status(esa)],[f348])).
% 7.55/1.46  fof(f761,plain,(
% 7.55/1.46    ![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))),
% 7.55/1.46    inference(destructive_equality_resolution,[status(esa)],[f349])).
% 7.55/1.46  fof(f776,plain,(
% 7.55/1.46    ![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))),
% 7.55/1.46    inference(backward_subsumption_resolution,[status(thm)],[f761,f372])).
% 7.55/1.46  fof(f777,plain,(
% 7.55/1.46    ![X0,X1,X2,X3]: (~relation(X0)|~relation(X1)|~in(ordered_pair(X2,X3),relation_composition(X0,X1))|in(ordered_pair(sk0_32(X3,X2,relation_composition(X0,X1),X1,X0),X3),X1))),
% 7.55/1.46    inference(backward_subsumption_resolution,[status(thm)],[f760,f372])).
% 7.55/1.46  fof(f778,plain,(
% 7.55/1.46    ![X0,X1,X2,X3]: (~relation(X0)|~relation(X1)|~in(ordered_pair(X2,X3),relation_composition(X0,X1))|in(ordered_pair(X2,sk0_32(X3,X2,relation_composition(X0,X1),X1,X0)),X0))),
% 7.55/1.46    inference(backward_subsumption_resolution,[status(thm)],[f759,f372])).
% 7.55/1.46  fof(f779,plain,(
% 7.55/1.46    ![X0,X1]: (in(ordered_pair(X0,X0),identity_relation(X1))|~in(X0,X1))),
% 7.55/1.46    inference(backward_subsumption_resolution,[status(thm)],[f722,f375])).
% 7.55/1.46  fof(f780,plain,(
% 7.55/1.46    ![X0,X1,X2]: (~in(ordered_pair(X0,X1),identity_relation(X2))|X0=X1)),
% 7.55/1.46    inference(backward_subsumption_resolution,[status(thm)],[f721,f375])).
% 7.55/1.46  fof(f781,plain,(
% 7.55/1.46    ![X0,X1,X2]: (~in(ordered_pair(X0,X1),identity_relation(X2))|in(X0,X2))),
% 7.55/1.46    inference(backward_subsumption_resolution,[status(thm)],[f720,f375])).
% 7.55/1.46  fof(f790,plain,(
% 7.55/1.46    ![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)))),
% 7.55/1.46    inference(paramodulation,[status(thm)],[f663,f606])).
% 7.55/1.46  fof(f791,plain,(
% 7.55/1.46    ![X0,X1]: (~relation(identity_relation(X0))|~relation(X1)|~subset(X0,relation_dom(X1))|relation_dom(relation_composition(identity_relation(X0),X1))=X0)),
% 7.55/1.46    inference(forward_demodulation,[status(thm)],[f662,f790])).
% 7.55/1.46  fof(f792,plain,(
% 7.55/1.46    ![X0,X1]: (~relation(X0)|~subset(X1,relation_dom(X0))|relation_dom(relation_composition(identity_relation(X1),X0))=X1)),
% 7.55/1.46    inference(forward_subsumption_resolution,[status(thm)],[f791,f375])).
% 7.55/1.46  fof(f793,plain,(
% 7.55/1.46    ![X0,X1]: (~relation(X0)|~relation(identity_relation(X1))|~subset(relation_rng(X0),X1)|relation_dom(relation_composition(X0,identity_relation(X1)))=relation_dom(X0))),
% 7.55/1.46    inference(paramodulation,[status(thm)],[f662,f606])).
% 7.55/1.46  fof(f794,plain,(
% 7.55/1.46    ![X0,X1]: (~relation(X0)|~subset(relation_rng(X0),X1)|relation_dom(relation_composition(X0,identity_relation(X1)))=relation_dom(X0))),
% 7.55/1.46    inference(forward_subsumption_resolution,[status(thm)],[f793,f375])).
% 7.55/1.46  fof(f804,plain,(
% 7.55/1.46    ![X0]: (~subset(X0,relation_dom(sk0_51))|relation_dom(relation_composition(identity_relation(X0),sk0_51))=X0)),
% 7.55/1.46    inference(resolution,[status(thm)],[f792,f668])).
% 7.55/1.46  fof(f806,plain,(
% 7.55/1.46    relation_dom(relation_composition(identity_relation(empty_set),sk0_51))=empty_set),
% 7.55/1.46    inference(resolution,[status(thm)],[f804,f547])).
% 7.55/1.46  fof(f807,plain,(
% 7.55/1.46    spl0_3 <=> relation_dom(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,X0))),sk0_51))=relation_dom(relation_composition(sk0_51,X0))|~relation(X0)),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f808,plain,(
% 7.55/1.46    ![X0]: (relation_dom(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,X0))),sk0_51))=relation_dom(relation_composition(sk0_51,X0))|~relation(X0)|~spl0_3)),
% 7.55/1.46    inference(component_clause,[status(thm)],[f807])).
% 7.55/1.46  fof(f810,plain,(
% 7.55/1.46    spl0_4 <=> relation(sk0_51)),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f812,plain,(
% 7.55/1.46    ~relation(sk0_51)|spl0_4),
% 7.55/1.46    inference(component_clause,[status(thm)],[f810])).
% 7.55/1.46  fof(f813,plain,(
% 7.55/1.46    ![X0]: (relation_dom(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,X0))),sk0_51))=relation_dom(relation_composition(sk0_51,X0))|~relation(sk0_51)|~relation(X0))),
% 7.55/1.46    inference(resolution,[status(thm)],[f804,f600])).
% 7.55/1.46  fof(f814,plain,(
% 7.55/1.46    spl0_3|~spl0_4),
% 7.55/1.46    inference(split_clause,[status(thm)],[f813,f807,f810])).
% 7.55/1.46  fof(f815,plain,(
% 7.55/1.46    relation_dom(relation_composition(identity_relation(relation_dom(sk0_51)),sk0_51))=relation_dom(sk0_51)),
% 7.55/1.46    inference(resolution,[status(thm)],[f804,f723])).
% 7.55/1.46  fof(f816,plain,(
% 7.55/1.46    $false|spl0_4),
% 7.55/1.46    inference(forward_subsumption_resolution,[status(thm)],[f812,f668])).
% 7.55/1.46  fof(f817,plain,(
% 7.55/1.46    spl0_4),
% 7.55/1.46    inference(contradiction_clause,[status(thm)],[f816])).
% 7.55/1.46  fof(f818,plain,(
% 7.55/1.46    relation_dom(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))=relation_dom(relation_composition(sk0_51,sk0_42))|~spl0_3),
% 7.55/1.46    inference(resolution,[status(thm)],[f808,f476])).
% 7.55/1.46  fof(f819,plain,(
% 7.55/1.46    relation_dom(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51))=relation_dom(relation_composition(sk0_51,sk0_39))|~spl0_3),
% 7.55/1.46    inference(resolution,[status(thm)],[f808,f467])).
% 7.55/1.46  fof(f820,plain,(
% 7.55/1.46    relation_dom(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51))=relation_dom(relation_composition(sk0_51,empty_set))|~spl0_3),
% 7.55/1.46    inference(resolution,[status(thm)],[f808,f401])).
% 7.55/1.46  fof(f824,plain,(
% 7.55/1.46    ![X0]: (relation_dom(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,identity_relation(X0)))),sk0_51))=relation_dom(relation_composition(sk0_51,identity_relation(X0)))|~spl0_3)),
% 7.55/1.46    inference(resolution,[status(thm)],[f808,f375])).
% 7.55/1.46  fof(f825,plain,(
% 7.55/1.46    relation_dom(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51))=relation_dom(relation_composition(sk0_51,sk0_51))|~spl0_3),
% 7.55/1.46    inference(resolution,[status(thm)],[f808,f668])).
% 7.55/1.46  fof(f826,plain,(
% 7.55/1.46    ![X0]: (relation_dom(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,X0))),sk0_51))=relation_dom(relation_composition(sk0_51,X0))|~empty(X0)|~spl0_3)),
% 7.55/1.46    inference(resolution,[status(thm)],[f808,f184])).
% 7.55/1.46  fof(f827,plain,(
% 7.55/1.46    spl0_5 <=> relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f829,plain,(
% 7.55/1.46    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))))|spl0_5),
% 7.55/1.46    inference(component_clause,[status(thm)],[f827])).
% 7.55/1.46  fof(f830,plain,(
% 7.55/1.46    spl0_6 <=> subset(relation_dom(relation_composition(sk0_51,sk0_42)),relation_dom(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42)))))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f833,plain,(
% 7.55/1.46    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))))|~relation(sk0_51)|subset(relation_dom(relation_composition(sk0_51,sk0_42)),relation_dom(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42)))))|~spl0_3),
% 7.55/1.46    inference(paramodulation,[status(thm)],[f818,f600])).
% 7.55/1.46  fof(f834,plain,(
% 7.55/1.46    ~spl0_5|~spl0_4|spl0_6|~spl0_3),
% 7.55/1.46    inference(split_clause,[status(thm)],[f833,f827,f810,f830,f807])).
% 7.55/1.46  fof(f835,plain,(
% 7.55/1.46    spl0_7 <=> ~relation(X0)|~subset(relation_rng(X0),relation_dom(relation_composition(sk0_51,sk0_42)))|relation_dom(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_dom(X0)),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f836,plain,(
% 7.55/1.46    ![X0]: (~relation(X0)|~subset(relation_rng(X0),relation_dom(relation_composition(sk0_51,sk0_42)))|relation_dom(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_dom(X0)|~spl0_7)),
% 7.55/1.46    inference(component_clause,[status(thm)],[f835])).
% 7.55/1.46  fof(f838,plain,(
% 7.55/1.46    spl0_8 <=> relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f839,plain,(
% 7.55/1.46    relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))|~spl0_8),
% 7.55/1.46    inference(component_clause,[status(thm)],[f838])).
% 7.55/1.46  fof(f840,plain,(
% 7.55/1.46    ~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))|spl0_8),
% 7.55/1.46    inference(component_clause,[status(thm)],[f838])).
% 7.55/1.46  fof(f841,plain,(
% 7.55/1.46    ![X0]: (~relation(X0)|~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))|~subset(relation_rng(X0),relation_dom(relation_composition(sk0_51,sk0_42)))|relation_dom(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_dom(X0)|~spl0_3)),
% 7.55/1.46    inference(paramodulation,[status(thm)],[f818,f606])).
% 7.55/1.46  fof(f842,plain,(
% 7.55/1.46    spl0_7|~spl0_8|~spl0_3),
% 7.55/1.46    inference(split_clause,[status(thm)],[f841,f835,f838,f807])).
% 7.55/1.46  fof(f843,plain,(
% 7.55/1.46    spl0_9 <=> ~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51),X0)),relation_dom(relation_composition(sk0_51,sk0_42)))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f846,plain,(
% 7.55/1.46    ![X0]: (~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))|~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51),X0)),relation_dom(relation_composition(sk0_51,sk0_42)))|~spl0_3)),
% 7.55/1.46    inference(paramodulation,[status(thm)],[f818,f600])).
% 7.55/1.46  fof(f847,plain,(
% 7.55/1.46    ~spl0_8|spl0_9|~spl0_3),
% 7.55/1.46    inference(split_clause,[status(thm)],[f846,f838,f843,f807])).
% 7.55/1.46  fof(f848,plain,(
% 7.55/1.46    $false|spl0_5),
% 7.55/1.46    inference(forward_subsumption_resolution,[status(thm)],[f829,f375])).
% 7.55/1.46  fof(f849,plain,(
% 7.55/1.46    spl0_5),
% 7.55/1.46    inference(contradiction_clause,[status(thm)],[f848])).
% 7.55/1.46  fof(f861,plain,(
% 7.55/1.46    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))))|~relation(sk0_51)|spl0_8),
% 7.55/1.46    inference(resolution,[status(thm)],[f840,f372])).
% 7.55/1.46  fof(f862,plain,(
% 7.55/1.46    ~spl0_5|~spl0_4|spl0_8),
% 7.55/1.46    inference(split_clause,[status(thm)],[f861,f827,f810,f838])).
% 7.55/1.46  fof(f865,plain,(
% 7.55/1.46    ![X0]: (~subset(X0,relation_dom(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))|relation_dom(relation_composition(identity_relation(X0),relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=X0|~spl0_8)),
% 7.55/1.46    inference(resolution,[status(thm)],[f839,f792])).
% 7.55/1.46  fof(f866,plain,(
% 7.55/1.46    ![X0]: (~subset(X0,relation_dom(relation_composition(sk0_51,sk0_42)))|relation_dom(relation_composition(identity_relation(X0),relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=X0|~spl0_3|~spl0_8)),
% 7.55/1.46    inference(forward_demodulation,[status(thm)],[f818,f865])).
% 7.55/1.46  fof(f867,plain,(
% 7.55/1.46    spl0_12 <=> relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f869,plain,(
% 7.55/1.46    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))))|spl0_12),
% 7.55/1.46    inference(component_clause,[status(thm)],[f867])).
% 7.55/1.46  fof(f870,plain,(
% 7.55/1.46    spl0_13 <=> subset(relation_dom(relation_composition(sk0_51,sk0_39)),relation_dom(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39)))))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f873,plain,(
% 7.55/1.46    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))))|~relation(sk0_51)|subset(relation_dom(relation_composition(sk0_51,sk0_39)),relation_dom(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39)))))|~spl0_3),
% 7.55/1.46    inference(paramodulation,[status(thm)],[f819,f600])).
% 7.55/1.46  fof(f874,plain,(
% 7.55/1.46    ~spl0_12|~spl0_4|spl0_13|~spl0_3),
% 7.55/1.46    inference(split_clause,[status(thm)],[f873,f867,f810,f870,f807])).
% 7.55/1.46  fof(f875,plain,(
% 7.55/1.46    spl0_14 <=> ~relation(X0)|~subset(relation_rng(X0),relation_dom(relation_composition(sk0_51,sk0_39)))|relation_dom(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51)))=relation_dom(X0)),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f876,plain,(
% 7.55/1.46    ![X0]: (~relation(X0)|~subset(relation_rng(X0),relation_dom(relation_composition(sk0_51,sk0_39)))|relation_dom(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51)))=relation_dom(X0)|~spl0_14)),
% 7.55/1.46    inference(component_clause,[status(thm)],[f875])).
% 7.55/1.46  fof(f878,plain,(
% 7.55/1.46    spl0_15 <=> relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f880,plain,(
% 7.55/1.46    ~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51))|spl0_15),
% 7.55/1.46    inference(component_clause,[status(thm)],[f878])).
% 7.55/1.46  fof(f881,plain,(
% 7.55/1.46    ![X0]: (~relation(X0)|~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51))|~subset(relation_rng(X0),relation_dom(relation_composition(sk0_51,sk0_39)))|relation_dom(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51)))=relation_dom(X0)|~spl0_3)),
% 7.55/1.46    inference(paramodulation,[status(thm)],[f819,f606])).
% 7.55/1.46  fof(f882,plain,(
% 7.55/1.46    spl0_14|~spl0_15|~spl0_3),
% 7.55/1.46    inference(split_clause,[status(thm)],[f881,f875,f878,f807])).
% 7.55/1.46  fof(f883,plain,(
% 7.55/1.46    spl0_16 <=> ~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51),X0)),relation_dom(relation_composition(sk0_51,sk0_39)))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f886,plain,(
% 7.55/1.46    ![X0]: (~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51))|~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51),X0)),relation_dom(relation_composition(sk0_51,sk0_39)))|~spl0_3)),
% 7.55/1.46    inference(paramodulation,[status(thm)],[f819,f600])).
% 7.55/1.46  fof(f887,plain,(
% 7.55/1.46    ~spl0_15|spl0_16|~spl0_3),
% 7.55/1.46    inference(split_clause,[status(thm)],[f886,f878,f883,f807])).
% 7.55/1.46  fof(f888,plain,(
% 7.55/1.46    $false|spl0_12),
% 7.55/1.46    inference(forward_subsumption_resolution,[status(thm)],[f869,f375])).
% 7.55/1.46  fof(f889,plain,(
% 7.55/1.46    spl0_12),
% 7.55/1.46    inference(contradiction_clause,[status(thm)],[f888])).
% 7.55/1.46  fof(f898,plain,(
% 7.55/1.46    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))))|~relation(sk0_51)|spl0_15),
% 7.55/1.46    inference(resolution,[status(thm)],[f880,f372])).
% 7.55/1.46  fof(f899,plain,(
% 7.55/1.46    ~spl0_12|~spl0_4|spl0_15),
% 7.55/1.46    inference(split_clause,[status(thm)],[f898,f867,f810,f878])).
% 7.55/1.46  fof(f904,plain,(
% 7.55/1.46    spl0_18 <=> relation(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f906,plain,(
% 7.55/1.46    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))))|spl0_18),
% 7.55/1.46    inference(component_clause,[status(thm)],[f904])).
% 7.55/1.46  fof(f907,plain,(
% 7.55/1.46    spl0_19 <=> subset(relation_dom(relation_composition(sk0_51,empty_set)),relation_dom(identity_relation(relation_dom(relation_composition(sk0_51,empty_set)))))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f910,plain,(
% 7.55/1.46    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))))|~relation(sk0_51)|subset(relation_dom(relation_composition(sk0_51,empty_set)),relation_dom(identity_relation(relation_dom(relation_composition(sk0_51,empty_set)))))|~spl0_3),
% 7.55/1.46    inference(paramodulation,[status(thm)],[f820,f600])).
% 7.55/1.46  fof(f911,plain,(
% 7.55/1.46    ~spl0_18|~spl0_4|spl0_19|~spl0_3),
% 7.55/1.46    inference(split_clause,[status(thm)],[f910,f904,f810,f907,f807])).
% 7.55/1.46  fof(f912,plain,(
% 7.55/1.46    spl0_20 <=> ~relation(X0)|~subset(relation_rng(X0),relation_dom(relation_composition(sk0_51,empty_set)))|relation_dom(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51)))=relation_dom(X0)),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f915,plain,(
% 7.55/1.46    spl0_21 <=> relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f917,plain,(
% 7.55/1.46    ~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51))|spl0_21),
% 7.55/1.46    inference(component_clause,[status(thm)],[f915])).
% 7.55/1.46  fof(f918,plain,(
% 7.55/1.46    ![X0]: (~relation(X0)|~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51))|~subset(relation_rng(X0),relation_dom(relation_composition(sk0_51,empty_set)))|relation_dom(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51)))=relation_dom(X0)|~spl0_3)),
% 7.55/1.46    inference(paramodulation,[status(thm)],[f820,f606])).
% 7.55/1.46  fof(f919,plain,(
% 7.55/1.46    spl0_20|~spl0_21|~spl0_3),
% 7.55/1.46    inference(split_clause,[status(thm)],[f918,f912,f915,f807])).
% 7.55/1.46  fof(f920,plain,(
% 7.55/1.46    spl0_22 <=> ~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51),X0)),relation_dom(relation_composition(sk0_51,empty_set)))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f923,plain,(
% 7.55/1.46    ![X0]: (~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51))|~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51),X0)),relation_dom(relation_composition(sk0_51,empty_set)))|~spl0_3)),
% 7.55/1.46    inference(paramodulation,[status(thm)],[f820,f600])).
% 7.55/1.46  fof(f924,plain,(
% 7.55/1.46    ~spl0_21|spl0_22|~spl0_3),
% 7.55/1.46    inference(split_clause,[status(thm)],[f923,f915,f920,f807])).
% 7.55/1.46  fof(f925,plain,(
% 7.55/1.46    $false|spl0_18),
% 7.55/1.46    inference(forward_subsumption_resolution,[status(thm)],[f906,f375])).
% 7.55/1.46  fof(f926,plain,(
% 7.55/1.46    spl0_18),
% 7.55/1.46    inference(contradiction_clause,[status(thm)],[f925])).
% 7.55/1.46  fof(f935,plain,(
% 7.55/1.46    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))))|~relation(sk0_51)|spl0_21),
% 7.55/1.46    inference(resolution,[status(thm)],[f917,f372])).
% 7.55/1.46  fof(f936,plain,(
% 7.55/1.46    ~spl0_18|~spl0_4|spl0_21),
% 7.55/1.46    inference(split_clause,[status(thm)],[f935,f904,f810,f915])).
% 7.55/1.46  fof(f965,plain,(
% 7.55/1.46    spl0_24 <=> relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f967,plain,(
% 7.55/1.46    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))))|spl0_24),
% 7.55/1.46    inference(component_clause,[status(thm)],[f965])).
% 7.55/1.46  fof(f968,plain,(
% 7.55/1.46    spl0_25 <=> subset(relation_dom(relation_composition(sk0_51,sk0_51)),relation_dom(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51)))))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f971,plain,(
% 7.55/1.46    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))))|~relation(sk0_51)|subset(relation_dom(relation_composition(sk0_51,sk0_51)),relation_dom(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51)))))|~spl0_3),
% 7.55/1.46    inference(paramodulation,[status(thm)],[f825,f600])).
% 7.55/1.46  fof(f972,plain,(
% 7.55/1.46    ~spl0_24|~spl0_4|spl0_25|~spl0_3),
% 7.55/1.46    inference(split_clause,[status(thm)],[f971,f965,f810,f968,f807])).
% 7.55/1.46  fof(f973,plain,(
% 7.55/1.46    spl0_26 <=> ~relation(X0)|~subset(relation_rng(X0),relation_dom(relation_composition(sk0_51,sk0_51)))|relation_dom(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51)))=relation_dom(X0)),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f976,plain,(
% 7.55/1.46    spl0_27 <=> relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f978,plain,(
% 7.55/1.46    ~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51))|spl0_27),
% 7.55/1.46    inference(component_clause,[status(thm)],[f976])).
% 7.55/1.46  fof(f979,plain,(
% 7.55/1.46    ![X0]: (~relation(X0)|~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51))|~subset(relation_rng(X0),relation_dom(relation_composition(sk0_51,sk0_51)))|relation_dom(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51)))=relation_dom(X0)|~spl0_3)),
% 7.55/1.46    inference(paramodulation,[status(thm)],[f825,f606])).
% 7.55/1.46  fof(f980,plain,(
% 7.55/1.46    spl0_26|~spl0_27|~spl0_3),
% 7.55/1.46    inference(split_clause,[status(thm)],[f979,f973,f976,f807])).
% 7.55/1.46  fof(f981,plain,(
% 7.55/1.46    spl0_28 <=> ~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51),X0)),relation_dom(relation_composition(sk0_51,sk0_51)))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 7.55/1.46  fof(f984,plain,(
% 7.55/1.46    ![X0]: (~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51))|~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51),X0)),relation_dom(relation_composition(sk0_51,sk0_51)))|~spl0_3)),
% 7.55/1.46    inference(paramodulation,[status(thm)],[f825,f600])).
% 7.55/1.46  fof(f985,plain,(
% 7.55/1.46    ~spl0_27|spl0_28|~spl0_3),
% 7.55/1.46    inference(split_clause,[status(thm)],[f984,f976,f981,f807])).
% 7.55/1.46  fof(f986,plain,(
% 7.55/1.46    $false|spl0_24),
% 7.55/1.46    inference(forward_subsumption_resolution,[status(thm)],[f967,f375])).
% 7.55/1.46  fof(f987,plain,(
% 7.55/1.46    spl0_24),
% 7.55/1.46    inference(contradiction_clause,[status(thm)],[f986])).
% 7.55/1.46  fof(f996,plain,(
% 7.55/1.46    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))))|~relation(sk0_51)|spl0_27),
% 7.55/1.46    inference(resolution,[status(thm)],[f978,f372])).
% 7.55/1.46  fof(f997,plain,(
% 7.55/1.46    ~spl0_24|~spl0_4|spl0_27),
% 7.55/1.46    inference(split_clause,[status(thm)],[f996,f965,f810,f976])).
% 7.55/1.46  fof(f1004,plain,(
% 7.55/1.46    relation_dom(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))),sk0_51))=relation_dom(relation_composition(sk0_51,sk0_41))|~spl0_3),
% 7.55/1.46    inference(resolution,[status(thm)],[f826,f473])).
% 7.55/1.46  fof(f1009,plain,(
% 7.55/1.46    spl0_30 <=> relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))))),
% 7.55/1.46    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1011,plain,(
% 8.32/1.48    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))))|spl0_30),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1009])).
% 8.32/1.48  fof(f1012,plain,(
% 8.32/1.48    spl0_31 <=> subset(relation_dom(relation_composition(sk0_51,sk0_41)),relation_dom(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41)))))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1015,plain,(
% 8.32/1.48    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))))|~relation(sk0_51)|subset(relation_dom(relation_composition(sk0_51,sk0_41)),relation_dom(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41)))))|~spl0_3),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1004,f600])).
% 8.32/1.48  fof(f1016,plain,(
% 8.32/1.48    ~spl0_30|~spl0_4|spl0_31|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1015,f1009,f810,f1012,f807])).
% 8.32/1.48  fof(f1017,plain,(
% 8.32/1.48    spl0_32 <=> ~relation(X0)|~subset(relation_rng(X0),relation_dom(relation_composition(sk0_51,sk0_41)))|relation_dom(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))),sk0_51)))=relation_dom(X0)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1020,plain,(
% 8.32/1.48    spl0_33 <=> relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))),sk0_51))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1022,plain,(
% 8.32/1.48    ~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))),sk0_51))|spl0_33),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1020])).
% 8.32/1.48  fof(f1023,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))),sk0_51))|~subset(relation_rng(X0),relation_dom(relation_composition(sk0_51,sk0_41)))|relation_dom(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))),sk0_51)))=relation_dom(X0)|~spl0_3)),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1004,f606])).
% 8.32/1.48  fof(f1024,plain,(
% 8.32/1.48    spl0_32|~spl0_33|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1023,f1017,f1020,f807])).
% 8.32/1.48  fof(f1025,plain,(
% 8.32/1.48    spl0_34 <=> ~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))),sk0_51),X0)),relation_dom(relation_composition(sk0_51,sk0_41)))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1028,plain,(
% 8.32/1.48    ![X0]: (~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))),sk0_51))|~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))),sk0_51),X0)),relation_dom(relation_composition(sk0_51,sk0_41)))|~spl0_3)),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1004,f600])).
% 8.32/1.48  fof(f1029,plain,(
% 8.32/1.48    ~spl0_33|spl0_34|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1028,f1020,f1025,f807])).
% 8.32/1.48  fof(f1030,plain,(
% 8.32/1.48    $false|spl0_30),
% 8.32/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1011,f375])).
% 8.32/1.48  fof(f1031,plain,(
% 8.32/1.48    spl0_30),
% 8.32/1.48    inference(contradiction_clause,[status(thm)],[f1030])).
% 8.32/1.48  fof(f1040,plain,(
% 8.32/1.48    ~relation(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))))|~relation(sk0_51)|spl0_33),
% 8.32/1.48    inference(resolution,[status(thm)],[f1022,f372])).
% 8.32/1.48  fof(f1041,plain,(
% 8.32/1.48    ~spl0_30|~spl0_4|spl0_33),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1040,f1009,f810,f1020])).
% 8.32/1.48  fof(f1048,plain,(
% 8.32/1.48    spl0_36 <=> ~relation(identity_relation(relation_dom(relation_composition(sk0_51,identity_relation(X0)))))|subset(relation_dom(relation_composition(sk0_51,identity_relation(X0))),relation_dom(identity_relation(relation_dom(relation_composition(sk0_51,identity_relation(X0))))))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1051,plain,(
% 8.32/1.48    ![X0]: (~relation(identity_relation(relation_dom(relation_composition(sk0_51,identity_relation(X0)))))|~relation(sk0_51)|subset(relation_dom(relation_composition(sk0_51,identity_relation(X0))),relation_dom(identity_relation(relation_dom(relation_composition(sk0_51,identity_relation(X0))))))|~spl0_3)),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f824,f600])).
% 8.32/1.48  fof(f1052,plain,(
% 8.32/1.48    spl0_36|~spl0_4|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1051,f1048,f810,f807])).
% 8.32/1.48  fof(f1058,plain,(
% 8.32/1.48    spl0_37 <=> relation_dom(relation_composition(identity_relation(relation_dom(relation_composition(relation_composition(sk0_51,sk0_42),X0))),relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_dom(relation_composition(relation_composition(sk0_51,sk0_42),X0))|~relation(X0)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1061,plain,(
% 8.32/1.48    spl0_38 <=> relation(relation_composition(sk0_51,sk0_42))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1063,plain,(
% 8.32/1.48    ~relation(relation_composition(sk0_51,sk0_42))|spl0_38),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1061])).
% 8.32/1.48  fof(f1064,plain,(
% 8.32/1.48    ![X0]: (relation_dom(relation_composition(identity_relation(relation_dom(relation_composition(relation_composition(sk0_51,sk0_42),X0))),relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_dom(relation_composition(relation_composition(sk0_51,sk0_42),X0))|~relation(relation_composition(sk0_51,sk0_42))|~relation(X0)|~spl0_3|~spl0_8)),
% 8.32/1.48    inference(resolution,[status(thm)],[f866,f600])).
% 8.32/1.48  fof(f1065,plain,(
% 8.32/1.48    spl0_37|~spl0_38|~spl0_3|~spl0_8),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1064,f1058,f1061,f807,f838])).
% 8.32/1.48  fof(f1067,plain,(
% 8.32/1.48    spl0_39 <=> relation(sk0_42)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1069,plain,(
% 8.32/1.48    ~relation(sk0_42)|spl0_39),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1067])).
% 8.32/1.48  fof(f1077,plain,(
% 8.32/1.48    ~relation(sk0_51)|~relation(sk0_42)|spl0_38),
% 8.32/1.48    inference(resolution,[status(thm)],[f1063,f372])).
% 8.32/1.48  fof(f1078,plain,(
% 8.32/1.48    ~spl0_4|~spl0_39|spl0_38),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1077,f810,f1067,f1061])).
% 8.32/1.48  fof(f1080,plain,(
% 8.32/1.48    $false|spl0_39),
% 8.32/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1069,f476])).
% 8.32/1.48  fof(f1081,plain,(
% 8.32/1.48    spl0_39),
% 8.32/1.48    inference(contradiction_clause,[status(thm)],[f1080])).
% 8.32/1.48  fof(f1098,plain,(
% 8.32/1.48    spl0_41 <=> relation(identity_relation(empty_set))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1100,plain,(
% 8.32/1.48    ~relation(identity_relation(empty_set))|spl0_41),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1098])).
% 8.32/1.48  fof(f1101,plain,(
% 8.32/1.48    spl0_42 <=> subset(empty_set,relation_dom(identity_relation(empty_set)))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1104,plain,(
% 8.32/1.48    ~relation(identity_relation(empty_set))|~relation(sk0_51)|subset(empty_set,relation_dom(identity_relation(empty_set)))),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f806,f600])).
% 8.32/1.48  fof(f1105,plain,(
% 8.32/1.48    ~spl0_41|~spl0_4|spl0_42),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1104,f1098,f810,f1101])).
% 8.32/1.48  fof(f1106,plain,(
% 8.32/1.48    spl0_43 <=> ~relation(X0)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(identity_relation(empty_set),sk0_51)))=relation_dom(X0)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1109,plain,(
% 8.32/1.48    spl0_44 <=> relation(relation_composition(identity_relation(empty_set),sk0_51))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1111,plain,(
% 8.32/1.48    ~relation(relation_composition(identity_relation(empty_set),sk0_51))|spl0_44),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1109])).
% 8.32/1.48  fof(f1112,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|~relation(relation_composition(identity_relation(empty_set),sk0_51))|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(identity_relation(empty_set),sk0_51)))=relation_dom(X0))),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f806,f606])).
% 8.32/1.48  fof(f1113,plain,(
% 8.32/1.48    spl0_43|~spl0_44),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1112,f1106,f1109])).
% 8.32/1.48  fof(f1114,plain,(
% 8.32/1.48    spl0_45 <=> ~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(empty_set),sk0_51),X0)),empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1117,plain,(
% 8.32/1.48    ![X0]: (~relation(relation_composition(identity_relation(empty_set),sk0_51))|~relation(X0)|subset(relation_dom(relation_composition(relation_composition(identity_relation(empty_set),sk0_51),X0)),empty_set))),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f806,f600])).
% 8.32/1.48  fof(f1118,plain,(
% 8.32/1.48    ~spl0_44|spl0_45),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1117,f1109,f1114])).
% 8.32/1.48  fof(f1119,plain,(
% 8.32/1.48    $false|spl0_41),
% 8.32/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1100,f375])).
% 8.32/1.48  fof(f1120,plain,(
% 8.32/1.48    spl0_41),
% 8.32/1.48    inference(contradiction_clause,[status(thm)],[f1119])).
% 8.32/1.48  fof(f1122,plain,(
% 8.32/1.48    spl0_46 <=> relation(identity_relation(relation_dom(sk0_51)))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1124,plain,(
% 8.32/1.48    ~relation(identity_relation(relation_dom(sk0_51)))|spl0_46),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1122])).
% 8.32/1.48  fof(f1125,plain,(
% 8.32/1.48    spl0_47 <=> subset(relation_dom(sk0_51),relation_dom(identity_relation(relation_dom(sk0_51))))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1128,plain,(
% 8.32/1.48    ~relation(identity_relation(relation_dom(sk0_51)))|~relation(sk0_51)|subset(relation_dom(sk0_51),relation_dom(identity_relation(relation_dom(sk0_51))))),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f815,f600])).
% 8.32/1.48  fof(f1129,plain,(
% 8.32/1.48    ~spl0_46|~spl0_4|spl0_47),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1128,f1122,f810,f1125])).
% 8.32/1.48  fof(f1143,plain,(
% 8.32/1.48    $false|spl0_46),
% 8.32/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1124,f375])).
% 8.32/1.48  fof(f1144,plain,(
% 8.32/1.48    spl0_46),
% 8.32/1.48    inference(contradiction_clause,[status(thm)],[f1143])).
% 8.32/1.48  fof(f1176,plain,(
% 8.32/1.48    ![X0]: (~subset(relation_rng(sk0_51),X0)|relation_dom(relation_composition(sk0_51,identity_relation(X0)))=relation_dom(sk0_51))),
% 8.32/1.48    inference(resolution,[status(thm)],[f794,f668])).
% 8.32/1.48  fof(f1178,plain,(
% 8.32/1.48    relation_dom(relation_composition(sk0_51,identity_relation(relation_rng(sk0_51))))=relation_dom(sk0_51)),
% 8.32/1.48    inference(resolution,[status(thm)],[f1176,f723])).
% 8.32/1.48  fof(f1186,plain,(
% 8.32/1.48    spl0_51 <=> ~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),sk0_51)))=relation_rng(relation_composition(identity_relation(empty_set),sk0_51))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1189,plain,(
% 8.32/1.48    ![X0]: (~relation(relation_composition(identity_relation(empty_set),sk0_51))|~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(empty_set),sk0_51)))=relation_rng(relation_composition(identity_relation(empty_set),sk0_51)))),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f806,f612])).
% 8.32/1.48  fof(f1190,plain,(
% 8.32/1.48    ~spl0_44|spl0_51),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1189,f1109,f1186])).
% 8.32/1.48  fof(f1197,plain,(
% 8.32/1.48    spl0_53 <=> ~relation(X0)|~subset(relation_dom(relation_composition(sk0_51,sk0_41)),relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))),sk0_51))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1200,plain,(
% 8.32/1.48    ![X0]: (~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))),sk0_51))|~relation(X0)|~subset(relation_dom(relation_composition(sk0_51,sk0_41)),relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_41))),sk0_51))|~spl0_3)),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1004,f612])).
% 8.32/1.48  fof(f1201,plain,(
% 8.32/1.48    ~spl0_33|spl0_53|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1200,f1020,f1197,f807])).
% 8.32/1.48  fof(f1202,plain,(
% 8.32/1.48    spl0_54 <=> ~relation(X0)|~subset(relation_dom(relation_composition(sk0_51,sk0_51)),relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1205,plain,(
% 8.32/1.48    ![X0]: (~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51))|~relation(X0)|~subset(relation_dom(relation_composition(sk0_51,sk0_51)),relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51))|~spl0_3)),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f825,f612])).
% 8.32/1.48  fof(f1206,plain,(
% 8.32/1.48    ~spl0_27|spl0_54|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1205,f976,f1202,f807])).
% 8.32/1.48  fof(f1207,plain,(
% 8.32/1.48    spl0_55 <=> ~relation(X0)|~subset(relation_dom(relation_composition(sk0_51,empty_set)),relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1210,plain,(
% 8.32/1.48    ![X0]: (~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51))|~relation(X0)|~subset(relation_dom(relation_composition(sk0_51,empty_set)),relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51))|~spl0_3)),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f820,f612])).
% 8.32/1.48  fof(f1211,plain,(
% 8.32/1.48    ~spl0_21|spl0_55|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1210,f915,f1207,f807])).
% 8.32/1.48  fof(f1212,plain,(
% 8.32/1.48    spl0_56 <=> ~relation(X0)|~subset(relation_dom(relation_composition(sk0_51,sk0_39)),relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1215,plain,(
% 8.32/1.48    ![X0]: (~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51))|~relation(X0)|~subset(relation_dom(relation_composition(sk0_51,sk0_39)),relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51))|~spl0_3)),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f819,f612])).
% 8.32/1.48  fof(f1216,plain,(
% 8.32/1.48    ~spl0_15|spl0_56|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1215,f878,f1212,f807])).
% 8.32/1.48  fof(f1217,plain,(
% 8.32/1.48    spl0_57 <=> ~relation(X0)|~subset(relation_dom(relation_composition(sk0_51,sk0_42)),relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1220,plain,(
% 8.32/1.48    ![X0]: (~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))|~relation(X0)|~subset(relation_dom(relation_composition(sk0_51,sk0_42)),relation_rng(X0))|relation_rng(relation_composition(X0,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))|~spl0_3)),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f818,f612])).
% 8.32/1.48  fof(f1221,plain,(
% 8.32/1.48    ~spl0_8|spl0_57|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1220,f838,f1217,f807])).
% 8.32/1.48  fof(f1222,plain,(
% 8.32/1.48    ![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)))),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f662,f612])).
% 8.32/1.48  fof(f1223,plain,(
% 8.32/1.48    ![X0,X1]: (~relation(identity_relation(X0))|~relation(X1)|~subset(X0,relation_rng(X1))|relation_rng(relation_composition(X1,identity_relation(X0)))=X0)),
% 8.32/1.48    inference(forward_demodulation,[status(thm)],[f663,f1222])).
% 8.32/1.48  fof(f1224,plain,(
% 8.32/1.48    ![X0,X1]: (~relation(X0)|~subset(X1,relation_rng(X0))|relation_rng(relation_composition(X0,identity_relation(X1)))=X1)),
% 8.32/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1223,f375])).
% 8.32/1.48  fof(f1241,plain,(
% 8.32/1.48    ![X0]: (~subset(X0,relation_rng(sk0_51))|relation_rng(relation_composition(sk0_51,identity_relation(X0)))=X0)),
% 8.32/1.48    inference(resolution,[status(thm)],[f1224,f668])).
% 8.32/1.48  fof(f1296,plain,(
% 8.32/1.48    ![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)))),
% 8.32/1.48    inference(resolution,[status(thm)],[f776,f180])).
% 8.32/1.48  fof(f1297,plain,(
% 8.32/1.48    spl0_58 <=> relation(identity_relation(sk0_54))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1299,plain,(
% 8.32/1.48    ~relation(identity_relation(sk0_54))|spl0_58),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1297])).
% 8.32/1.48  fof(f1300,plain,(
% 8.32/1.48    spl0_59 <=> in(ordered_pair(sk0_32(sk0_53,sk0_52,relation_composition(identity_relation(sk0_54),sk0_51),sk0_51,identity_relation(sk0_54)),sk0_53),sk0_51)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1301,plain,(
% 8.32/1.48    in(ordered_pair(sk0_32(sk0_53,sk0_52,relation_composition(identity_relation(sk0_54),sk0_51),sk0_51,identity_relation(sk0_54)),sk0_53),sk0_51)|~spl0_59),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1300])).
% 8.32/1.48  fof(f1303,plain,(
% 8.32/1.48    ~relation(identity_relation(sk0_54))|~relation(sk0_51)|in(ordered_pair(sk0_32(sk0_53,sk0_52,relation_composition(identity_relation(sk0_54),sk0_51),sk0_51,identity_relation(sk0_54)),sk0_53),sk0_51)|~spl0_0),
% 8.32/1.48    inference(resolution,[status(thm)],[f777,f709])).
% 8.32/1.48  fof(f1304,plain,(
% 8.32/1.48    ~spl0_58|~spl0_4|spl0_59|~spl0_0),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1303,f1297,f810,f1300,f708])).
% 8.32/1.48  fof(f1307,plain,(
% 8.32/1.48    $false|spl0_58),
% 8.32/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1299,f375])).
% 8.32/1.48  fof(f1308,plain,(
% 8.32/1.48    spl0_58),
% 8.32/1.48    inference(contradiction_clause,[status(thm)],[f1307])).
% 8.32/1.48  fof(f1309,plain,(
% 8.32/1.48    spl0_60 <=> in(ordered_pair(sk0_52,sk0_32(sk0_53,sk0_52,relation_composition(identity_relation(sk0_54),sk0_51),sk0_51,identity_relation(sk0_54))),identity_relation(sk0_54))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1310,plain,(
% 8.32/1.48    in(ordered_pair(sk0_52,sk0_32(sk0_53,sk0_52,relation_composition(identity_relation(sk0_54),sk0_51),sk0_51,identity_relation(sk0_54))),identity_relation(sk0_54))|~spl0_60),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1309])).
% 8.32/1.48  fof(f1312,plain,(
% 8.32/1.48    ~relation(identity_relation(sk0_54))|~relation(sk0_51)|in(ordered_pair(sk0_52,sk0_32(sk0_53,sk0_52,relation_composition(identity_relation(sk0_54),sk0_51),sk0_51,identity_relation(sk0_54))),identity_relation(sk0_54))|~spl0_0),
% 8.32/1.48    inference(resolution,[status(thm)],[f778,f709])).
% 8.32/1.48  fof(f1313,plain,(
% 8.32/1.48    ~spl0_58|~spl0_4|spl0_60|~spl0_0),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1312,f1297,f810,f1309,f708])).
% 8.32/1.48  fof(f1319,plain,(
% 8.32/1.48    spl0_61 <=> relation(empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1321,plain,(
% 8.32/1.48    ~relation(empty_set)|spl0_61),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1319])).
% 8.32/1.48  fof(f1322,plain,(
% 8.32/1.48    spl0_62 <=> ~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,empty_set))=relation_rng(empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1323,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,empty_set))=relation_rng(empty_set)|~spl0_62)),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1322])).
% 8.32/1.48  fof(f1325,plain,(
% 8.32/1.48    ![X0]: (~relation(empty_set)|~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,empty_set))=relation_rng(empty_set))),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f638,f612])).
% 8.32/1.48  fof(f1326,plain,(
% 8.32/1.48    ~spl0_61|spl0_62),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1325,f1319,f1322])).
% 8.32/1.48  fof(f1327,plain,(
% 8.32/1.48    spl0_63 <=> ~relation(X0)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,empty_set))=relation_dom(X0)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1328,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,empty_set))=relation_dom(X0)|~spl0_63)),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1327])).
% 8.32/1.48  fof(f1330,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|~relation(empty_set)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,empty_set))=relation_dom(X0))),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f638,f606])).
% 8.32/1.48  fof(f1331,plain,(
% 8.32/1.48    spl0_63|~spl0_61),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1330,f1327,f1319])).
% 8.32/1.48  fof(f1332,plain,(
% 8.32/1.48    spl0_64 <=> ~relation(X0)|subset(relation_dom(relation_composition(empty_set,X0)),empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1333,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|subset(relation_dom(relation_composition(empty_set,X0)),empty_set)|~spl0_64)),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1332])).
% 8.32/1.48  fof(f1335,plain,(
% 8.32/1.48    ![X0]: (~relation(empty_set)|~relation(X0)|subset(relation_dom(relation_composition(empty_set,X0)),empty_set))),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f638,f600])).
% 8.32/1.48  fof(f1336,plain,(
% 8.32/1.48    ~spl0_61|spl0_64),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1335,f1319,f1332])).
% 8.32/1.48  fof(f1337,plain,(
% 8.32/1.48    $false|spl0_61),
% 8.32/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1321,f401])).
% 8.32/1.48  fof(f1338,plain,(
% 8.32/1.48    spl0_61),
% 8.32/1.48    inference(contradiction_clause,[status(thm)],[f1337])).
% 8.32/1.48  fof(f1339,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|~subset(empty_set,relation_rng(X0))|relation_rng(relation_composition(X0,empty_set))=empty_set|~spl0_62)),
% 8.32/1.48    inference(forward_demodulation,[status(thm)],[f639,f1323])).
% 8.32/1.48  fof(f1340,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|relation_rng(relation_composition(X0,empty_set))=empty_set|~spl0_62)),
% 8.32/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1339,f547])).
% 8.32/1.48  fof(f1341,plain,(
% 8.32/1.48    spl0_65 <=> ~relation(X0)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(empty_set,X0))=relation_rng(X0)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1342,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(empty_set,X0))=relation_rng(X0)|~spl0_65)),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1341])).
% 8.32/1.48  fof(f1344,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|~relation(empty_set)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(empty_set,X0))=relation_rng(X0))),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f639,f612])).
% 8.32/1.48  fof(f1345,plain,(
% 8.32/1.48    spl0_65|~spl0_61),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1344,f1341,f1319])).
% 8.32/1.48  fof(f1346,plain,(
% 8.32/1.48    spl0_66 <=> subset(empty_set,relation_dom(relation_composition(sk0_51,sk0_39)))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1348,plain,(
% 8.32/1.48    ~subset(empty_set,relation_dom(relation_composition(sk0_51,sk0_39)))|spl0_66),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1346])).
% 8.32/1.48  fof(f1349,plain,(
% 8.32/1.48    spl0_67 <=> relation_dom(relation_composition(empty_set,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51)))=relation_dom(empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1352,plain,(
% 8.32/1.48    ~relation(empty_set)|~subset(empty_set,relation_dom(relation_composition(sk0_51,sk0_39)))|relation_dom(relation_composition(empty_set,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_39))),sk0_51)))=relation_dom(empty_set)|~spl0_14),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f639,f876])).
% 8.32/1.48  fof(f1353,plain,(
% 8.32/1.48    ~spl0_61|~spl0_66|spl0_67|~spl0_14),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1352,f1319,f1346,f1349,f875])).
% 8.32/1.48  fof(f1354,plain,(
% 8.32/1.48    spl0_68 <=> subset(empty_set,relation_dom(relation_composition(sk0_51,sk0_42)))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1356,plain,(
% 8.32/1.48    ~subset(empty_set,relation_dom(relation_composition(sk0_51,sk0_42)))|spl0_68),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1354])).
% 8.32/1.48  fof(f1357,plain,(
% 8.32/1.48    spl0_69 <=> relation_dom(relation_composition(empty_set,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_dom(empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1360,plain,(
% 8.32/1.48    ~relation(empty_set)|~subset(empty_set,relation_dom(relation_composition(sk0_51,sk0_42)))|relation_dom(relation_composition(empty_set,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_dom(empty_set)|~spl0_7),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f639,f836])).
% 8.32/1.48  fof(f1361,plain,(
% 8.32/1.48    ~spl0_61|~spl0_68|spl0_69|~spl0_7),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1360,f1319,f1354,f1357,f835])).
% 8.32/1.48  fof(f1362,plain,(
% 8.32/1.48    spl0_70 <=> ~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(empty_set,X0))=relation_dom(empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1363,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(empty_set,X0))=relation_dom(empty_set)|~spl0_70)),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1362])).
% 8.32/1.48  fof(f1365,plain,(
% 8.32/1.48    ![X0]: (~relation(empty_set)|~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(empty_set,X0))=relation_dom(empty_set))),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f639,f606])).
% 8.32/1.48  fof(f1366,plain,(
% 8.32/1.48    ~spl0_61|spl0_70),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1365,f1319,f1362])).
% 8.32/1.48  fof(f1367,plain,(
% 8.32/1.48    spl0_71 <=> ~relation(X0)|subset(relation_rng(relation_composition(X0,empty_set)),empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1368,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|subset(relation_rng(relation_composition(X0,empty_set)),empty_set)|~spl0_71)),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1367])).
% 8.32/1.48  fof(f1370,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|~relation(empty_set)|subset(relation_rng(relation_composition(X0,empty_set)),empty_set))),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f639,f602])).
% 8.32/1.48  fof(f1371,plain,(
% 8.32/1.48    spl0_71|~spl0_61),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1370,f1367,f1319])).
% 8.32/1.48  fof(f1372,plain,(
% 8.32/1.48    $false|spl0_66),
% 8.32/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1348,f547])).
% 8.32/1.48  fof(f1373,plain,(
% 8.32/1.48    spl0_66),
% 8.32/1.48    inference(contradiction_clause,[status(thm)],[f1372])).
% 8.32/1.48  fof(f1374,plain,(
% 8.32/1.48    $false|spl0_68),
% 8.32/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1356,f547])).
% 8.32/1.48  fof(f1375,plain,(
% 8.32/1.48    spl0_68),
% 8.32/1.48    inference(contradiction_clause,[status(thm)],[f1374])).
% 8.32/1.48  fof(f1376,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(empty_set,X0))=empty_set|~spl0_70)),
% 8.32/1.48    inference(forward_demodulation,[status(thm)],[f638,f1363])).
% 8.32/1.48  fof(f1377,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|relation_dom(relation_composition(empty_set,X0))=empty_set|~spl0_70)),
% 8.32/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1376,f547])).
% 8.32/1.48  fof(f1382,plain,(
% 8.32/1.48    ![X0,X1]: (relation_composition(X0,X1)=empty_set|~empty(X0)|~relation(X1))),
% 8.32/1.48    inference(resolution,[status(thm)],[f658,f415])).
% 8.32/1.48  fof(f1489,plain,(
% 8.32/1.48    spl0_72 <=> empty(empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1491,plain,(
% 8.32/1.48    ~empty(empty_set)|spl0_72),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1489])).
% 8.32/1.48  fof(f1508,plain,(
% 8.32/1.48    spl0_76 <=> empty(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1511,plain,(
% 8.32/1.48    spl0_77 <=> empty(relation_dom(relation_composition(sk0_51,sk0_51)))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1514,plain,(
% 8.32/1.48    ~empty(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51))|empty(relation_dom(relation_composition(sk0_51,sk0_51)))|~spl0_3),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f825,f409])).
% 8.32/1.48  fof(f1515,plain,(
% 8.32/1.48    ~spl0_76|spl0_77|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1514,f1508,f1511,f807])).
% 8.32/1.48  fof(f1516,plain,(
% 8.32/1.48    spl0_78 <=> empty(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1519,plain,(
% 8.32/1.48    spl0_79 <=> empty(relation_dom(relation_composition(sk0_51,empty_set)))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1522,plain,(
% 8.32/1.48    ~empty(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51))|empty(relation_dom(relation_composition(sk0_51,empty_set)))|~spl0_3),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f820,f409])).
% 8.32/1.48  fof(f1523,plain,(
% 8.32/1.48    ~spl0_78|spl0_79|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1522,f1516,f1519,f807])).
% 8.32/1.48  fof(f1524,plain,(
% 8.32/1.48    spl0_80 <=> empty(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1527,plain,(
% 8.32/1.48    spl0_81 <=> empty(relation_dom(relation_composition(sk0_51,sk0_42)))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1530,plain,(
% 8.32/1.48    ~empty(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))|empty(relation_dom(relation_composition(sk0_51,sk0_42)))|~spl0_3),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f818,f409])).
% 8.32/1.48  fof(f1531,plain,(
% 8.32/1.48    ~spl0_80|spl0_81|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1530,f1524,f1527,f807])).
% 8.32/1.48  fof(f1552,plain,(
% 8.32/1.48    spl0_83 <=> relation(relation_dom(relation_composition(sk0_51,sk0_51)))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1555,plain,(
% 8.32/1.48    ~empty(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51))|relation(relation_dom(relation_composition(sk0_51,sk0_51)))|~spl0_3),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f825,f410])).
% 8.32/1.48  fof(f1556,plain,(
% 8.32/1.48    ~spl0_76|spl0_83|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1555,f1508,f1552,f807])).
% 8.32/1.48  fof(f1557,plain,(
% 8.32/1.48    spl0_84 <=> relation(relation_dom(relation_composition(sk0_51,empty_set)))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1560,plain,(
% 8.32/1.48    ~empty(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51))|relation(relation_dom(relation_composition(sk0_51,empty_set)))|~spl0_3),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f820,f410])).
% 8.32/1.48  fof(f1561,plain,(
% 8.32/1.48    ~spl0_78|spl0_84|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1560,f1516,f1557,f807])).
% 8.32/1.48  fof(f1562,plain,(
% 8.32/1.48    spl0_85 <=> relation(relation_dom(relation_composition(sk0_51,sk0_42)))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1565,plain,(
% 8.32/1.48    ~empty(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))|relation(relation_dom(relation_composition(sk0_51,sk0_42)))|~spl0_3),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f818,f410])).
% 8.32/1.48  fof(f1566,plain,(
% 8.32/1.48    ~spl0_80|spl0_85|~spl0_3),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1565,f1524,f1562,f807])).
% 8.32/1.48  fof(f1603,plain,(
% 8.32/1.48    spl0_87 <=> ~in(ordered_pair(sk0_52,X0),identity_relation(sk0_54))|~in(ordered_pair(X0,sk0_53),sk0_51)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1604,plain,(
% 8.32/1.48    ![X0]: (~in(ordered_pair(sk0_52,X0),identity_relation(sk0_54))|~in(ordered_pair(X0,sk0_53),sk0_51)|~spl0_87)),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1603])).
% 8.32/1.48  fof(f1606,plain,(
% 8.32/1.48    ![X0]: (~relation(identity_relation(sk0_54))|~relation(sk0_51)|~in(ordered_pair(sk0_52,X0),identity_relation(sk0_54))|~in(ordered_pair(X0,sk0_53),sk0_51)|spl0_0)),
% 8.32/1.48    inference(resolution,[status(thm)],[f710,f776])).
% 8.32/1.48  fof(f1607,plain,(
% 8.32/1.48    ~spl0_58|~spl0_4|spl0_87|spl0_0),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1606,f1297,f810,f1603,f708])).
% 8.32/1.48  fof(f1610,plain,(
% 8.32/1.48    relation_rng(relation_composition(empty_set,empty_set))=empty_set|~spl0_62),
% 8.32/1.48    inference(resolution,[status(thm)],[f1340,f401])).
% 8.32/1.48  fof(f1619,plain,(
% 8.32/1.48    relation_rng(relation_composition(sk0_51,empty_set))=empty_set|~spl0_62),
% 8.32/1.48    inference(resolution,[status(thm)],[f1340,f668])).
% 8.32/1.48  fof(f1621,plain,(
% 8.32/1.48    spl0_88 <=> subset(empty_set,relation_rng(empty_set))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1624,plain,(
% 8.32/1.48    ~relation(empty_set)|~relation(empty_set)|subset(empty_set,relation_rng(empty_set))|~spl0_62),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1610,f602])).
% 8.32/1.48  fof(f1625,plain,(
% 8.32/1.48    ~spl0_61|spl0_88|~spl0_62),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1624,f1319,f1621,f1322])).
% 8.32/1.48  fof(f1626,plain,(
% 8.32/1.48    spl0_89 <=> ~relation(X0)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(empty_set,empty_set),X0))=relation_rng(X0)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1629,plain,(
% 8.32/1.48    spl0_90 <=> relation(relation_composition(empty_set,empty_set))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1631,plain,(
% 8.32/1.48    ~relation(relation_composition(empty_set,empty_set))|spl0_90),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1629])).
% 8.32/1.48  fof(f1632,plain,(
% 8.32/1.48    ![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)|~spl0_62)),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1610,f612])).
% 8.32/1.48  fof(f1633,plain,(
% 8.32/1.48    spl0_89|~spl0_90|~spl0_62),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1632,f1626,f1629,f1322])).
% 8.32/1.48  fof(f1634,plain,(
% 8.32/1.48    spl0_91 <=> relation_dom(relation_composition(relation_composition(empty_set,empty_set),relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_dom(relation_composition(empty_set,empty_set))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1637,plain,(
% 8.32/1.48    ~relation(relation_composition(empty_set,empty_set))|~subset(empty_set,relation_dom(relation_composition(sk0_51,sk0_42)))|relation_dom(relation_composition(relation_composition(empty_set,empty_set),relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_dom(relation_composition(empty_set,empty_set))|~spl0_7|~spl0_62),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1610,f836])).
% 8.32/1.48  fof(f1638,plain,(
% 8.32/1.48    ~spl0_90|~spl0_68|spl0_91|~spl0_7|~spl0_62),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1637,f1629,f1354,f1634,f835,f1322])).
% 8.32/1.48  fof(f1639,plain,(
% 8.32/1.48    spl0_92 <=> ~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))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1642,plain,(
% 8.32/1.48    ![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))|~spl0_62)),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1610,f606])).
% 8.32/1.48  fof(f1643,plain,(
% 8.32/1.48    ~spl0_90|spl0_92|~spl0_62),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1642,f1629,f1639,f1322])).
% 8.32/1.48  fof(f1644,plain,(
% 8.32/1.48    spl0_93 <=> ~relation(X0)|subset(relation_rng(relation_composition(X0,relation_composition(empty_set,empty_set))),empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1647,plain,(
% 8.32/1.48    ![X0]: (~relation(X0)|~relation(relation_composition(empty_set,empty_set))|subset(relation_rng(relation_composition(X0,relation_composition(empty_set,empty_set))),empty_set)|~spl0_62)),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1610,f602])).
% 8.32/1.48  fof(f1648,plain,(
% 8.32/1.48    spl0_93|~spl0_90|~spl0_62),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1647,f1644,f1629,f1322])).
% 8.32/1.48  fof(f1652,plain,(
% 8.32/1.48    relation_dom(relation_composition(empty_set,empty_set))=empty_set|~spl0_70),
% 8.32/1.48    inference(resolution,[status(thm)],[f1377,f401])).
% 8.32/1.48  fof(f1663,plain,(
% 8.32/1.48    spl0_94 <=> subset(empty_set,relation_dom(empty_set))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1666,plain,(
% 8.32/1.48    ~relation(empty_set)|~relation(empty_set)|subset(empty_set,relation_dom(empty_set))|~spl0_70),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1652,f600])).
% 8.32/1.48  fof(f1667,plain,(
% 8.32/1.48    ~spl0_61|spl0_94|~spl0_70),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1666,f1319,f1663,f1362])).
% 8.32/1.48  fof(f1668,plain,(
% 8.32/1.48    spl0_95 <=> empty(relation_composition(empty_set,empty_set))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1670,plain,(
% 8.32/1.48    ~empty(relation_composition(empty_set,empty_set))|spl0_95),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1668])).
% 8.32/1.48  fof(f1675,plain,(
% 8.32/1.48    spl0_96 <=> ~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))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1678,plain,(
% 8.32/1.48    ![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))|~spl0_70)),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1652,f612])).
% 8.32/1.48  fof(f1679,plain,(
% 8.32/1.48    ~spl0_90|spl0_96|~spl0_70),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1678,f1629,f1675,f1362])).
% 8.32/1.48  fof(f1680,plain,(
% 8.32/1.48    spl0_97 <=> ~relation(X0)|~subset(relation_rng(X0),empty_set)|relation_dom(relation_composition(X0,relation_composition(empty_set,empty_set)))=relation_dom(X0)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1683,plain,(
% 8.32/1.48    ![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)|~spl0_70)),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1652,f606])).
% 8.32/1.48  fof(f1684,plain,(
% 8.32/1.48    spl0_97|~spl0_90|~spl0_70),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1683,f1680,f1629,f1362])).
% 8.32/1.48  fof(f1685,plain,(
% 8.32/1.48    spl0_98 <=> ~relation(X0)|subset(relation_dom(relation_composition(relation_composition(empty_set,empty_set),X0)),empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1688,plain,(
% 8.32/1.48    ![X0]: (~relation(relation_composition(empty_set,empty_set))|~relation(X0)|subset(relation_dom(relation_composition(relation_composition(empty_set,empty_set),X0)),empty_set)|~spl0_70)),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1652,f600])).
% 8.32/1.48  fof(f1689,plain,(
% 8.32/1.48    ~spl0_90|spl0_98|~spl0_70),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1688,f1629,f1685,f1362])).
% 8.32/1.48  fof(f1691,plain,(
% 8.32/1.48    ~empty(empty_set)|~relation(empty_set)|spl0_95),
% 8.32/1.48    inference(resolution,[status(thm)],[f1670,f415])).
% 8.32/1.48  fof(f1692,plain,(
% 8.32/1.48    ~spl0_72|~spl0_61|spl0_95),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1691,f1489,f1319,f1668])).
% 8.32/1.48  fof(f1695,plain,(
% 8.32/1.48    $false|spl0_72),
% 8.32/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1491,f388])).
% 8.32/1.48  fof(f1696,plain,(
% 8.32/1.48    spl0_72),
% 8.32/1.48    inference(contradiction_clause,[status(thm)],[f1695])).
% 8.32/1.48  fof(f1854,plain,(
% 8.32/1.48    spl0_103 <=> subset(empty_set,empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1856,plain,(
% 8.32/1.48    ~subset(empty_set,empty_set)|spl0_103),
% 8.32/1.48    inference(component_clause,[status(thm)],[f1854])).
% 8.32/1.48  fof(f1857,plain,(
% 8.32/1.48    spl0_104 <=> relation_dom(relation_composition(relation_composition(empty_set,empty_set),empty_set))=relation_dom(relation_composition(empty_set,empty_set))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1860,plain,(
% 8.32/1.48    ~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))|~spl0_63|~spl0_62),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1610,f1328])).
% 8.32/1.48  fof(f1861,plain,(
% 8.32/1.48    ~spl0_90|~spl0_103|spl0_104|~spl0_63|~spl0_62),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1860,f1629,f1854,f1857,f1327,f1322])).
% 8.32/1.48  fof(f1862,plain,(
% 8.32/1.48    spl0_105 <=> relation_dom(relation_composition(empty_set,empty_set))=relation_dom(empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1865,plain,(
% 8.32/1.48    ~relation(empty_set)|~subset(empty_set,empty_set)|relation_dom(relation_composition(empty_set,empty_set))=relation_dom(empty_set)|~spl0_63),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f639,f1328])).
% 8.32/1.48  fof(f1866,plain,(
% 8.32/1.48    ~spl0_61|~spl0_103|spl0_105|~spl0_63),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1865,f1319,f1854,f1862,f1327])).
% 8.32/1.48  fof(f1869,plain,(
% 8.32/1.48    $false|spl0_103),
% 8.32/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1856,f547])).
% 8.32/1.48  fof(f1870,plain,(
% 8.32/1.48    spl0_103),
% 8.32/1.48    inference(contradiction_clause,[status(thm)],[f1869])).
% 8.32/1.48  fof(f1873,plain,(
% 8.32/1.48    spl0_106 <=> relation_rng(relation_composition(empty_set,empty_set))=relation_rng(empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1876,plain,(
% 8.32/1.48    ~relation(empty_set)|~subset(empty_set,empty_set)|relation_rng(relation_composition(empty_set,empty_set))=relation_rng(empty_set)|~spl0_65),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f638,f1342])).
% 8.32/1.48  fof(f1877,plain,(
% 8.32/1.48    ~spl0_61|~spl0_103|spl0_106|~spl0_65),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1876,f1319,f1854,f1873,f1341])).
% 8.32/1.48  fof(f1878,plain,(
% 8.32/1.48    spl0_107 <=> relation_rng(relation_composition(empty_set,relation_composition(empty_set,empty_set)))=relation_rng(relation_composition(empty_set,empty_set))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1881,plain,(
% 8.32/1.48    ~relation(relation_composition(empty_set,empty_set))|~subset(empty_set,empty_set)|relation_rng(relation_composition(empty_set,relation_composition(empty_set,empty_set)))=relation_rng(relation_composition(empty_set,empty_set))|~spl0_65|~spl0_70),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f1652,f1342])).
% 8.32/1.48  fof(f1882,plain,(
% 8.32/1.48    ~spl0_90|~spl0_103|spl0_107|~spl0_65|~spl0_70),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1881,f1629,f1854,f1878,f1341,f1362])).
% 8.32/1.48  fof(f1883,plain,(
% 8.32/1.48    spl0_108 <=> relation_rng(relation_composition(empty_set,relation_composition(identity_relation(empty_set),sk0_51)))=relation_rng(relation_composition(identity_relation(empty_set),sk0_51))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1886,plain,(
% 8.32/1.48    ~relation(relation_composition(identity_relation(empty_set),sk0_51))|~subset(empty_set,empty_set)|relation_rng(relation_composition(empty_set,relation_composition(identity_relation(empty_set),sk0_51)))=relation_rng(relation_composition(identity_relation(empty_set),sk0_51))|~spl0_65),
% 8.32/1.48    inference(paramodulation,[status(thm)],[f806,f1342])).
% 8.32/1.48  fof(f1887,plain,(
% 8.32/1.48    ~spl0_44|~spl0_103|spl0_108|~spl0_65),
% 8.32/1.48    inference(split_clause,[status(thm)],[f1886,f1109,f1854,f1883,f1341])).
% 8.32/1.48  fof(f1889,plain,(
% 8.32/1.48    spl0_109 <=> subset(relation_dom(relation_composition(sk0_51,sk0_51)),empty_set)),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1892,plain,(
% 8.32/1.48    spl0_110 <=> relation_rng(relation_composition(empty_set,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51))),
% 8.32/1.48    introduced(split_symbol_definition)).
% 8.32/1.48  fof(f1895,plain,(
% 8.32/1.48    ~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51))|~subset(relation_dom(relation_composition(sk0_51,sk0_51)),empty_set)|relation_rng(relation_composition(empty_set,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_51))),sk0_51))|~spl0_65|~spl0_3),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f825,f1342])).
% 8.32/1.49  fof(f1896,plain,(
% 8.32/1.49    ~spl0_27|~spl0_109|spl0_110|~spl0_65|~spl0_3),
% 8.32/1.49    inference(split_clause,[status(thm)],[f1895,f976,f1889,f1892,f1341,f807])).
% 8.32/1.49  fof(f1897,plain,(
% 8.32/1.49    spl0_111 <=> subset(relation_dom(relation_composition(sk0_51,empty_set)),empty_set)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f1900,plain,(
% 8.32/1.49    spl0_112 <=> relation_rng(relation_composition(empty_set,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f1903,plain,(
% 8.32/1.49    ~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51))|~subset(relation_dom(relation_composition(sk0_51,empty_set)),empty_set)|relation_rng(relation_composition(empty_set,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,empty_set))),sk0_51))|~spl0_65|~spl0_3),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f820,f1342])).
% 8.32/1.49  fof(f1904,plain,(
% 8.32/1.49    ~spl0_21|~spl0_111|spl0_112|~spl0_65|~spl0_3),
% 8.32/1.49    inference(split_clause,[status(thm)],[f1903,f915,f1897,f1900,f1341,f807])).
% 8.32/1.49  fof(f1905,plain,(
% 8.32/1.49    spl0_113 <=> subset(relation_dom(relation_composition(sk0_51,sk0_42)),empty_set)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f1908,plain,(
% 8.32/1.49    spl0_114 <=> relation_rng(relation_composition(empty_set,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f1911,plain,(
% 8.32/1.49    ~relation(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))|~subset(relation_dom(relation_composition(sk0_51,sk0_42)),empty_set)|relation_rng(relation_composition(empty_set,relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_rng(relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51))|~spl0_65|~spl0_3),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f818,f1342])).
% 8.32/1.49  fof(f1912,plain,(
% 8.32/1.49    ~spl0_8|~spl0_113|spl0_114|~spl0_65|~spl0_3),
% 8.32/1.49    inference(split_clause,[status(thm)],[f1911,f838,f1905,f1908,f1341,f807])).
% 8.32/1.49  fof(f1988,plain,(
% 8.32/1.49    spl0_117 <=> relation(identity_relation(relation_rng(sk0_51)))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f1990,plain,(
% 8.32/1.49    ~relation(identity_relation(relation_rng(sk0_51)))|spl0_117),
% 8.32/1.49    inference(component_clause,[status(thm)],[f1988])).
% 8.32/1.49  fof(f1991,plain,(
% 8.32/1.49    spl0_118 <=> subset(relation_dom(sk0_51),relation_dom(sk0_51))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f1994,plain,(
% 8.32/1.49    ~relation(sk0_51)|~relation(identity_relation(relation_rng(sk0_51)))|subset(relation_dom(sk0_51),relation_dom(sk0_51))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f1178,f600])).
% 8.32/1.49  fof(f1995,plain,(
% 8.32/1.49    ~spl0_4|~spl0_117|spl0_118),
% 8.32/1.49    inference(split_clause,[status(thm)],[f1994,f810,f1988,f1991])).
% 8.32/1.49  fof(f2026,plain,(
% 8.32/1.49    $false|spl0_117),
% 8.32/1.49    inference(forward_subsumption_resolution,[status(thm)],[f1990,f375])).
% 8.32/1.49  fof(f2027,plain,(
% 8.32/1.49    spl0_117),
% 8.32/1.49    inference(contradiction_clause,[status(thm)],[f2026])).
% 8.32/1.49  fof(f2028,plain,(
% 8.32/1.49    relation_rng(relation_composition(sk0_51,identity_relation(empty_set)))=empty_set),
% 8.32/1.49    inference(resolution,[status(thm)],[f1241,f547])).
% 8.32/1.49  fof(f2029,plain,(
% 8.32/1.49    spl0_125 <=> relation_rng(relation_composition(sk0_51,identity_relation(relation_rng(relation_composition(X0,sk0_51)))))=relation_rng(relation_composition(X0,sk0_51))|~relation(X0)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2032,plain,(
% 8.32/1.49    ![X0]: (relation_rng(relation_composition(sk0_51,identity_relation(relation_rng(relation_composition(X0,sk0_51)))))=relation_rng(relation_composition(X0,sk0_51))|~relation(X0)|~relation(sk0_51))),
% 8.32/1.49    inference(resolution,[status(thm)],[f1241,f602])).
% 8.32/1.49  fof(f2033,plain,(
% 8.32/1.49    spl0_125|~spl0_4),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2032,f2029,f810])).
% 8.32/1.49  fof(f2035,plain,(
% 8.32/1.49    relation_rng(relation_composition(sk0_51,identity_relation(relation_rng(sk0_51))))=relation_rng(sk0_51)),
% 8.32/1.49    inference(resolution,[status(thm)],[f1241,f723])).
% 8.32/1.49  fof(f2036,plain,(
% 8.32/1.49    spl0_126 <=> subset(empty_set,relation_rng(identity_relation(empty_set)))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2039,plain,(
% 8.32/1.49    ~relation(sk0_51)|~relation(identity_relation(empty_set))|subset(empty_set,relation_rng(identity_relation(empty_set)))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2028,f602])).
% 8.32/1.49  fof(f2040,plain,(
% 8.32/1.49    ~spl0_4|~spl0_41|spl0_126),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2039,f810,f1098,f2036])).
% 8.32/1.49  fof(f2041,plain,(
% 8.32/1.49    spl0_127 <=> relation(relation_composition(sk0_51,identity_relation(empty_set)))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2044,plain,(
% 8.32/1.49    spl0_128 <=> relation_dom(relation_composition(relation_composition(sk0_51,identity_relation(empty_set)),empty_set))=relation_dom(relation_composition(sk0_51,identity_relation(empty_set)))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2047,plain,(
% 8.32/1.49    ~relation(relation_composition(sk0_51,identity_relation(empty_set)))|~subset(empty_set,empty_set)|relation_dom(relation_composition(relation_composition(sk0_51,identity_relation(empty_set)),empty_set))=relation_dom(relation_composition(sk0_51,identity_relation(empty_set)))|~spl0_63),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2028,f1328])).
% 8.32/1.49  fof(f2048,plain,(
% 8.32/1.49    ~spl0_127|~spl0_103|spl0_128|~spl0_63),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2047,f2041,f1854,f2044,f1327])).
% 8.32/1.49  fof(f2049,plain,(
% 8.32/1.49    spl0_129 <=> ~relation(X0)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(sk0_51,identity_relation(empty_set)),X0))=relation_rng(X0)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2052,plain,(
% 8.32/1.49    ![X0]: (~relation(X0)|~relation(relation_composition(sk0_51,identity_relation(empty_set)))|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(sk0_51,identity_relation(empty_set)),X0))=relation_rng(X0))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2028,f612])).
% 8.32/1.49  fof(f2053,plain,(
% 8.32/1.49    spl0_129|~spl0_127),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2052,f2049,f2041])).
% 8.32/1.49  fof(f2054,plain,(
% 8.32/1.49    spl0_130 <=> relation_dom(relation_composition(relation_composition(sk0_51,identity_relation(empty_set)),relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_dom(relation_composition(sk0_51,identity_relation(empty_set)))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2057,plain,(
% 8.32/1.49    ~relation(relation_composition(sk0_51,identity_relation(empty_set)))|~subset(empty_set,relation_dom(relation_composition(sk0_51,sk0_42)))|relation_dom(relation_composition(relation_composition(sk0_51,identity_relation(empty_set)),relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_dom(relation_composition(sk0_51,identity_relation(empty_set)))|~spl0_7),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2028,f836])).
% 8.32/1.49  fof(f2058,plain,(
% 8.32/1.49    ~spl0_127|~spl0_68|spl0_130|~spl0_7),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2057,f2041,f1354,f2054,f835])).
% 8.32/1.49  fof(f2059,plain,(
% 8.32/1.49    spl0_131 <=> ~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(relation_composition(sk0_51,identity_relation(empty_set)),X0))=relation_dom(relation_composition(sk0_51,identity_relation(empty_set)))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2062,plain,(
% 8.32/1.49    ![X0]: (~relation(relation_composition(sk0_51,identity_relation(empty_set)))|~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(relation_composition(sk0_51,identity_relation(empty_set)),X0))=relation_dom(relation_composition(sk0_51,identity_relation(empty_set))))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2028,f606])).
% 8.32/1.49  fof(f2063,plain,(
% 8.32/1.49    ~spl0_127|spl0_131),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2062,f2041,f2059])).
% 8.32/1.49  fof(f2064,plain,(
% 8.32/1.49    spl0_132 <=> ~relation(X0)|subset(relation_rng(relation_composition(X0,relation_composition(sk0_51,identity_relation(empty_set)))),empty_set)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2067,plain,(
% 8.32/1.49    ![X0]: (~relation(X0)|~relation(relation_composition(sk0_51,identity_relation(empty_set)))|subset(relation_rng(relation_composition(X0,relation_composition(sk0_51,identity_relation(empty_set)))),empty_set))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2028,f602])).
% 8.32/1.49  fof(f2068,plain,(
% 8.32/1.49    spl0_132|~spl0_127),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2067,f2064,f2041])).
% 8.32/1.49  fof(f2070,plain,(
% 8.32/1.49    spl0_133 <=> subset(relation_rng(sk0_51),relation_rng(identity_relation(relation_rng(sk0_51))))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2073,plain,(
% 8.32/1.49    ~relation(sk0_51)|~relation(identity_relation(relation_rng(sk0_51)))|subset(relation_rng(sk0_51),relation_rng(identity_relation(relation_rng(sk0_51))))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2035,f602])).
% 8.32/1.49  fof(f2074,plain,(
% 8.32/1.49    ~spl0_4|~spl0_117|spl0_133),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2073,f810,f1988,f2070])).
% 8.32/1.49  fof(f2109,plain,(
% 8.32/1.49    ![X0]: (relation_composition(X0,sk0_42)=empty_set|~empty(X0))),
% 8.32/1.49    inference(resolution,[status(thm)],[f1382,f476])).
% 8.32/1.49  fof(f2110,plain,(
% 8.32/1.49    ![X0]: (relation_composition(X0,empty_set)=empty_set|~empty(X0))),
% 8.32/1.49    inference(resolution,[status(thm)],[f1382,f401])).
% 8.32/1.49  fof(f2118,plain,(
% 8.32/1.49    ![X0,X1]: (relation_composition(X0,identity_relation(X1))=empty_set|~empty(X0))),
% 8.32/1.49    inference(resolution,[status(thm)],[f1382,f375])).
% 8.32/1.49  fof(f2119,plain,(
% 8.32/1.49    ![X0]: (relation_composition(X0,sk0_51)=empty_set|~empty(X0))),
% 8.32/1.49    inference(resolution,[status(thm)],[f1382,f668])).
% 8.32/1.49  fof(f2122,plain,(
% 8.32/1.49    relation_composition(empty_set,sk0_42)=empty_set),
% 8.32/1.49    inference(resolution,[status(thm)],[f2109,f388])).
% 8.32/1.49  fof(f2126,plain,(
% 8.32/1.49    spl0_141 <=> subset(relation_dom(empty_set),empty_set)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2129,plain,(
% 8.32/1.49    ~relation(sk0_42)|subset(relation_dom(empty_set),empty_set)|~spl0_64),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2122,f1333])).
% 8.32/1.49  fof(f2130,plain,(
% 8.32/1.49    ~spl0_39|spl0_141|~spl0_64),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2129,f1067,f2126,f1332])).
% 8.32/1.49  fof(f2131,plain,(
% 8.32/1.49    spl0_142 <=> ~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sk0_32(X1,X0,relation_composition(empty_set,sk0_42),sk0_42,empty_set)),empty_set)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2134,plain,(
% 8.32/1.49    ![X0,X1]: (~relation(empty_set)|~relation(sk0_42)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sk0_32(X1,X0,relation_composition(empty_set,sk0_42),sk0_42,empty_set)),empty_set))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2122,f778])).
% 8.32/1.49  fof(f2135,plain,(
% 8.32/1.49    ~spl0_61|~spl0_39|spl0_142),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2134,f1319,f1067,f2131])).
% 8.32/1.49  fof(f2136,plain,(
% 8.32/1.49    spl0_143 <=> ~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sk0_32(X1,X0,relation_composition(empty_set,sk0_42),sk0_42,empty_set),X1),sk0_42)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2139,plain,(
% 8.32/1.49    ![X0,X1]: (~relation(empty_set)|~relation(sk0_42)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sk0_32(X1,X0,relation_composition(empty_set,sk0_42),sk0_42,empty_set),X1),sk0_42))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2122,f777])).
% 8.32/1.49  fof(f2140,plain,(
% 8.32/1.49    ~spl0_61|~spl0_39|spl0_143),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2139,f1319,f1067,f2136])).
% 8.32/1.49  fof(f2141,plain,(
% 8.32/1.49    spl0_144 <=> ~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),sk0_42)|~in(empty_set,ordered_pair(X0,X2))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2144,plain,(
% 8.32/1.49    ![X0,X1,X2]: (~relation(empty_set)|~relation(sk0_42)|~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),sk0_42)|~in(empty_set,ordered_pair(X0,X2)))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2122,f1296])).
% 8.32/1.49  fof(f2145,plain,(
% 8.32/1.49    ~spl0_61|~spl0_39|spl0_144),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2144,f1319,f1067,f2141])).
% 8.32/1.49  fof(f2146,plain,(
% 8.32/1.49    spl0_145 <=> in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),sk0_42)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2149,plain,(
% 8.32/1.49    ![X0,X1,X2]: (~relation(empty_set)|~relation(sk0_42)|in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),sk0_42))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2122,f776])).
% 8.32/1.49  fof(f2150,plain,(
% 8.32/1.49    ~spl0_61|~spl0_39|spl0_145),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2149,f1319,f1067,f2146])).
% 8.32/1.49  fof(f2151,plain,(
% 8.32/1.49    spl0_146 <=> subset(relation_rng(empty_set),relation_rng(sk0_42))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2154,plain,(
% 8.32/1.49    ~relation(empty_set)|~relation(sk0_42)|subset(relation_rng(empty_set),relation_rng(sk0_42))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2122,f602])).
% 8.32/1.49  fof(f2155,plain,(
% 8.32/1.49    ~spl0_61|~spl0_39|spl0_146),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2154,f1319,f1067,f2151])).
% 8.32/1.49  fof(f2156,plain,(
% 8.32/1.49    spl0_147 <=> subset(relation_dom(empty_set),relation_dom(empty_set))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2178,plain,(
% 8.32/1.49    relation_composition(empty_set,empty_set)=empty_set),
% 8.32/1.49    inference(resolution,[status(thm)],[f2110,f388])).
% 8.32/1.49  fof(f2184,plain,(
% 8.32/1.49    ~relation(empty_set)|spl0_90),
% 8.32/1.49    inference(backward_demodulation,[status(thm)],[f2178,f1631])).
% 8.32/1.49  fof(f2185,plain,(
% 8.32/1.49    ~spl0_61|spl0_90),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2184,f1319,f1629])).
% 8.32/1.49  fof(f2196,plain,(
% 8.32/1.49    spl0_148 <=> subset(relation_rng(empty_set),empty_set)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2199,plain,(
% 8.32/1.49    ~relation(empty_set)|subset(relation_rng(empty_set),empty_set)|~spl0_71),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2178,f1368])).
% 8.32/1.49  fof(f2200,plain,(
% 8.32/1.49    ~spl0_61|spl0_148|~spl0_71),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2199,f1319,f2196,f1367])).
% 8.32/1.49  fof(f2201,plain,(
% 8.32/1.49    spl0_149 <=> ~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sk0_32(X1,X0,relation_composition(empty_set,empty_set),empty_set,empty_set)),empty_set)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2204,plain,(
% 8.32/1.49    ![X0,X1]: (~relation(empty_set)|~relation(empty_set)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sk0_32(X1,X0,relation_composition(empty_set,empty_set),empty_set,empty_set)),empty_set))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2178,f778])).
% 8.32/1.49  fof(f2205,plain,(
% 8.32/1.49    ~spl0_61|spl0_149),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2204,f1319,f2201])).
% 8.32/1.49  fof(f2206,plain,(
% 8.32/1.49    spl0_150 <=> ~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sk0_32(X1,X0,relation_composition(empty_set,empty_set),empty_set,empty_set),X1),empty_set)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2209,plain,(
% 8.32/1.49    ![X0,X1]: (~relation(empty_set)|~relation(empty_set)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sk0_32(X1,X0,relation_composition(empty_set,empty_set),empty_set,empty_set),X1),empty_set))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2178,f777])).
% 8.32/1.49  fof(f2210,plain,(
% 8.32/1.49    ~spl0_61|spl0_150),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2209,f1319,f2206])).
% 8.32/1.49  fof(f2211,plain,(
% 8.32/1.49    spl0_151 <=> ~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),empty_set)|~in(empty_set,ordered_pair(X0,X2))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2214,plain,(
% 8.32/1.49    ![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)))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2178,f1296])).
% 8.32/1.49  fof(f2215,plain,(
% 8.32/1.49    ~spl0_61|spl0_151),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2214,f1319,f2211])).
% 8.32/1.49  fof(f2216,plain,(
% 8.32/1.49    spl0_152 <=> in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),empty_set)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2219,plain,(
% 8.32/1.49    ![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))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2178,f776])).
% 8.32/1.49  fof(f2220,plain,(
% 8.32/1.49    ~spl0_61|spl0_152),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2219,f1319,f2216])).
% 8.32/1.49  fof(f2221,plain,(
% 8.32/1.49    spl0_153 <=> subset(relation_rng(empty_set),relation_rng(empty_set))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2224,plain,(
% 8.32/1.49    ~relation(empty_set)|~relation(empty_set)|subset(relation_rng(empty_set),relation_rng(empty_set))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2178,f602])).
% 8.32/1.49  fof(f2225,plain,(
% 8.32/1.49    ~spl0_61|spl0_153),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2224,f1319,f2221])).
% 8.32/1.49  fof(f2226,plain,(
% 8.32/1.49    ~relation(empty_set)|~relation(empty_set)|subset(relation_dom(empty_set),relation_dom(empty_set))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2178,f600])).
% 8.32/1.49  fof(f2227,plain,(
% 8.32/1.49    ~spl0_61|spl0_147),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2226,f1319,f2156])).
% 8.32/1.49  fof(f2244,plain,(
% 8.32/1.49    relation_composition(empty_set,sk0_51)=empty_set),
% 8.32/1.49    inference(resolution,[status(thm)],[f2119,f388])).
% 8.32/1.49  fof(f2250,plain,(
% 8.32/1.49    spl0_154 <=> ~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sk0_32(X1,X0,relation_composition(empty_set,sk0_51),sk0_51,empty_set)),empty_set)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2253,plain,(
% 8.32/1.49    ![X0,X1]: (~relation(empty_set)|~relation(sk0_51)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(X0,sk0_32(X1,X0,relation_composition(empty_set,sk0_51),sk0_51,empty_set)),empty_set))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2244,f778])).
% 8.32/1.49  fof(f2254,plain,(
% 8.32/1.49    ~spl0_61|~spl0_4|spl0_154),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2253,f1319,f810,f2250])).
% 8.32/1.49  fof(f2255,plain,(
% 8.32/1.49    spl0_155 <=> ~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sk0_32(X1,X0,relation_composition(empty_set,sk0_51),sk0_51,empty_set),X1),sk0_51)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2258,plain,(
% 8.32/1.49    ![X0,X1]: (~relation(empty_set)|~relation(sk0_51)|~in(ordered_pair(X0,X1),empty_set)|in(ordered_pair(sk0_32(X1,X0,relation_composition(empty_set,sk0_51),sk0_51,empty_set),X1),sk0_51))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2244,f777])).
% 8.32/1.49  fof(f2259,plain,(
% 8.32/1.49    ~spl0_61|~spl0_4|spl0_155),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2258,f1319,f810,f2255])).
% 8.32/1.49  fof(f2260,plain,(
% 8.32/1.49    spl0_156 <=> ~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),sk0_51)|~in(empty_set,ordered_pair(X0,X2))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2263,plain,(
% 8.32/1.49    ![X0,X1,X2]: (~relation(empty_set)|~relation(sk0_51)|~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),sk0_51)|~in(empty_set,ordered_pair(X0,X2)))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2244,f1296])).
% 8.32/1.49  fof(f2264,plain,(
% 8.32/1.49    ~spl0_61|~spl0_4|spl0_156),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2263,f1319,f810,f2260])).
% 8.32/1.49  fof(f2265,plain,(
% 8.32/1.49    spl0_157 <=> in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),sk0_51)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2268,plain,(
% 8.32/1.49    ![X0,X1,X2]: (~relation(empty_set)|~relation(sk0_51)|in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X1),sk0_51))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2244,f776])).
% 8.32/1.49  fof(f2269,plain,(
% 8.32/1.49    ~spl0_61|~spl0_4|spl0_157),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2268,f1319,f810,f2265])).
% 8.32/1.49  fof(f2270,plain,(
% 8.32/1.49    spl0_158 <=> subset(relation_rng(empty_set),relation_rng(sk0_51))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2273,plain,(
% 8.32/1.49    ~relation(empty_set)|~relation(sk0_51)|subset(relation_rng(empty_set),relation_rng(sk0_51))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2244,f602])).
% 8.32/1.49  fof(f2274,plain,(
% 8.32/1.49    ~spl0_61|~spl0_4|spl0_158),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2273,f1319,f810,f2270])).
% 8.32/1.49  fof(f2291,plain,(
% 8.32/1.49    ![X0]: (relation_composition(empty_set,identity_relation(X0))=empty_set)),
% 8.32/1.49    inference(resolution,[status(thm)],[f2118,f388])).
% 8.32/1.49  fof(f2307,plain,(
% 8.32/1.49    spl0_160 <=> ~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(X1,sk0_32(X2,X1,relation_composition(empty_set,identity_relation(X0)),identity_relation(X0),empty_set)),empty_set)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2310,plain,(
% 8.32/1.49    ![X0,X1,X2]: (~relation(empty_set)|~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(X1,sk0_32(X2,X1,relation_composition(empty_set,identity_relation(X0)),identity_relation(X0),empty_set)),empty_set))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2291,f778])).
% 8.32/1.49  fof(f2311,plain,(
% 8.32/1.49    ~spl0_61|spl0_160),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2310,f1319,f2307])).
% 8.32/1.49  fof(f2312,plain,(
% 8.32/1.49    spl0_161 <=> ~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(sk0_32(X2,X1,relation_composition(empty_set,identity_relation(X0)),identity_relation(X0),empty_set),X2),identity_relation(X0))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2315,plain,(
% 8.32/1.49    ![X0,X1,X2]: (~relation(empty_set)|~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(sk0_32(X2,X1,relation_composition(empty_set,identity_relation(X0)),identity_relation(X0),empty_set),X2),identity_relation(X0)))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2291,f777])).
% 8.32/1.49  fof(f2316,plain,(
% 8.32/1.49    ~spl0_61|spl0_161),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2315,f1319,f2312])).
% 8.32/1.49  fof(f2317,plain,(
% 8.32/1.49    spl0_162 <=> ~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))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2320,plain,(
% 8.32/1.49    ![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)))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2291,f1296])).
% 8.32/1.49  fof(f2321,plain,(
% 8.32/1.49    ~spl0_61|spl0_162),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2320,f1319,f2317])).
% 8.32/1.49  fof(f2322,plain,(
% 8.32/1.49    spl0_163 <=> ~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))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2325,plain,(
% 8.32/1.49    ![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)))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2291,f776])).
% 8.32/1.49  fof(f2326,plain,(
% 8.32/1.49    ~spl0_61|spl0_163),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2325,f1319,f2322])).
% 8.32/1.49  fof(f2327,plain,(
% 8.32/1.49    spl0_164 <=> ~relation(identity_relation(X0))|subset(relation_rng(empty_set),relation_rng(identity_relation(X0)))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2330,plain,(
% 8.32/1.49    ![X0]: (~relation(empty_set)|~relation(identity_relation(X0))|subset(relation_rng(empty_set),relation_rng(identity_relation(X0))))),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2291,f602])).
% 8.32/1.49  fof(f2331,plain,(
% 8.32/1.49    ~spl0_61|spl0_164),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2330,f1319,f2327])).
% 8.32/1.49  fof(f2444,plain,(
% 8.32/1.49    ![X0]: (~proper_subset(empty_set,relation_rng(relation_composition(X0,empty_set)))|~relation(X0)|~spl0_71)),
% 8.32/1.49    inference(resolution,[status(thm)],[f641,f1368])).
% 8.32/1.49  fof(f2446,plain,(
% 8.32/1.49    ![X0]: (~proper_subset(empty_set,relation_dom(relation_composition(empty_set,X0)))|~relation(X0)|~spl0_64)),
% 8.32/1.49    inference(resolution,[status(thm)],[f641,f1333])).
% 8.32/1.49  fof(f2540,plain,(
% 8.32/1.49    ~relation(identity_relation(empty_set))|~relation(sk0_51)|spl0_44),
% 8.32/1.49    inference(resolution,[status(thm)],[f1111,f372])).
% 8.32/1.49  fof(f2541,plain,(
% 8.32/1.49    ~spl0_41|~spl0_4|spl0_44),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2540,f1098,f810,f1109])).
% 8.32/1.49  fof(f2555,plain,(
% 8.32/1.49    spl0_171 <=> relation(relation_composition(sk0_51,empty_set))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2558,plain,(
% 8.32/1.49    spl0_172 <=> relation_dom(relation_composition(relation_composition(sk0_51,empty_set),empty_set))=relation_dom(relation_composition(sk0_51,empty_set))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2561,plain,(
% 8.32/1.49    ~relation(relation_composition(sk0_51,empty_set))|~subset(empty_set,empty_set)|relation_dom(relation_composition(relation_composition(sk0_51,empty_set),empty_set))=relation_dom(relation_composition(sk0_51,empty_set))|~spl0_63|~spl0_62),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f1619,f1328])).
% 8.32/1.49  fof(f2562,plain,(
% 8.32/1.49    ~spl0_171|~spl0_103|spl0_172|~spl0_63|~spl0_62),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2561,f2555,f1854,f2558,f1327,f1322])).
% 8.32/1.49  fof(f2563,plain,(
% 8.32/1.49    spl0_173 <=> ~relation(X0)|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(sk0_51,empty_set),X0))=relation_rng(X0)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2566,plain,(
% 8.32/1.49    ![X0]: (~relation(X0)|~relation(relation_composition(sk0_51,empty_set))|~subset(relation_dom(X0),empty_set)|relation_rng(relation_composition(relation_composition(sk0_51,empty_set),X0))=relation_rng(X0)|~spl0_62)),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f1619,f612])).
% 8.32/1.49  fof(f2567,plain,(
% 8.32/1.49    spl0_173|~spl0_171|~spl0_62),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2566,f2563,f2555,f1322])).
% 8.32/1.49  fof(f2568,plain,(
% 8.32/1.49    spl0_174 <=> relation_dom(relation_composition(relation_composition(sk0_51,empty_set),relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_dom(relation_composition(sk0_51,empty_set))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2571,plain,(
% 8.32/1.49    ~relation(relation_composition(sk0_51,empty_set))|~subset(empty_set,relation_dom(relation_composition(sk0_51,sk0_42)))|relation_dom(relation_composition(relation_composition(sk0_51,empty_set),relation_composition(identity_relation(relation_dom(relation_composition(sk0_51,sk0_42))),sk0_51)))=relation_dom(relation_composition(sk0_51,empty_set))|~spl0_7|~spl0_62),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f1619,f836])).
% 8.32/1.49  fof(f2572,plain,(
% 8.32/1.49    ~spl0_171|~spl0_68|spl0_174|~spl0_7|~spl0_62),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2571,f2555,f1354,f2568,f835,f1322])).
% 8.32/1.49  fof(f2573,plain,(
% 8.32/1.49    spl0_175 <=> ~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(relation_composition(sk0_51,empty_set),X0))=relation_dom(relation_composition(sk0_51,empty_set))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2576,plain,(
% 8.32/1.49    ![X0]: (~relation(relation_composition(sk0_51,empty_set))|~relation(X0)|~subset(empty_set,relation_dom(X0))|relation_dom(relation_composition(relation_composition(sk0_51,empty_set),X0))=relation_dom(relation_composition(sk0_51,empty_set))|~spl0_62)),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f1619,f606])).
% 8.32/1.49  fof(f2577,plain,(
% 8.32/1.49    ~spl0_171|spl0_175|~spl0_62),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2576,f2555,f2573,f1322])).
% 8.32/1.49  fof(f2578,plain,(
% 8.32/1.49    spl0_176 <=> ~relation(X0)|subset(relation_rng(relation_composition(X0,relation_composition(sk0_51,empty_set))),empty_set)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2581,plain,(
% 8.32/1.49    ![X0]: (~relation(X0)|~relation(relation_composition(sk0_51,empty_set))|subset(relation_rng(relation_composition(X0,relation_composition(sk0_51,empty_set))),empty_set)|~spl0_62)),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f1619,f602])).
% 8.32/1.49  fof(f2582,plain,(
% 8.32/1.49    spl0_176|~spl0_171|~spl0_62),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2581,f2578,f2555,f1322])).
% 8.32/1.49  fof(f2583,plain,(
% 8.32/1.49    in(sk0_52,sk0_54)|~spl0_60),
% 8.32/1.49    inference(resolution,[status(thm)],[f1310,f781])).
% 8.32/1.49  fof(f2584,plain,(
% 8.32/1.49    spl0_1|~spl0_60),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2583,f711,f1309])).
% 8.32/1.49  fof(f2585,plain,(
% 8.32/1.49    sk0_52=sk0_32(sk0_53,sk0_52,relation_composition(identity_relation(sk0_54),sk0_51),sk0_51,identity_relation(sk0_54))|~spl0_60),
% 8.32/1.49    inference(resolution,[status(thm)],[f1310,f780])).
% 8.32/1.49  fof(f2589,plain,(
% 8.32/1.49    in(ordered_pair(sk0_52,sk0_53),sk0_51)|~spl0_60|~spl0_59),
% 8.32/1.49    inference(backward_demodulation,[status(thm)],[f2585,f1301])).
% 8.32/1.49  fof(f2606,plain,(
% 8.32/1.49    spl0_177 <=> proper_subset(empty_set,empty_set)),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2609,plain,(
% 8.32/1.49    ~proper_subset(empty_set,empty_set)|~relation(sk0_51)|~spl0_71|~spl0_62),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f1619,f2444])).
% 8.32/1.49  fof(f2610,plain,(
% 8.32/1.49    ~spl0_177|~spl0_4|~spl0_71|~spl0_62),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2609,f2606,f810,f1367,f1322])).
% 8.32/1.49  fof(f2611,plain,(
% 8.32/1.49    spl0_178 <=> proper_subset(empty_set,relation_rng(empty_set))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2614,plain,(
% 8.32/1.49    ~proper_subset(empty_set,relation_rng(empty_set))|~relation(empty_set)|~spl0_71),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2178,f2444])).
% 8.32/1.49  fof(f2615,plain,(
% 8.32/1.49    ~spl0_178|~spl0_61|~spl0_71),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2614,f2611,f1319,f1367])).
% 8.32/1.49  fof(f2617,plain,(
% 8.32/1.49    spl0_179 <=> proper_subset(empty_set,relation_dom(empty_set))),
% 8.32/1.49    introduced(split_symbol_definition)).
% 8.32/1.49  fof(f2622,plain,(
% 8.32/1.49    ~proper_subset(empty_set,relation_dom(empty_set))|~relation(sk0_51)|~spl0_64),
% 8.32/1.49    inference(paramodulation,[status(thm)],[f2244,f2446])).
% 8.32/1.49  fof(f2623,plain,(
% 8.32/1.49    ~spl0_179|~spl0_4|~spl0_64),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2622,f2617,f810,f1332])).
% 8.32/1.49  fof(f2671,plain,(
% 8.32/1.49    ~in(ordered_pair(sk0_52,sk0_53),sk0_51)|~in(sk0_52,sk0_54)|~spl0_87),
% 8.32/1.49    inference(resolution,[status(thm)],[f1604,f779])).
% 8.32/1.49  fof(f2672,plain,(
% 8.32/1.49    ~spl0_2|~spl0_1|~spl0_87),
% 8.32/1.49    inference(split_clause,[status(thm)],[f2671,f715,f711,f1603])).
% 8.32/1.49  fof(f2673,plain,(
% 8.32/1.49    $false|~spl0_60|~spl0_59|spl0_2),
% 8.32/1.49    inference(forward_subsumption_resolution,[status(thm)],[f717,f2589])).
% 8.32/1.49  fof(f2674,plain,(
% 8.32/1.49    ~spl0_60|~spl0_59|spl0_2),
% 8.32/1.49    inference(contradiction_clause,[status(thm)],[f2673])).
% 8.32/1.49  fof(f2675,plain,(
% 8.32/1.49    $false),
% 8.32/1.49    inference(sat_refutation,[status(thm)],[f714,f718,f719,f814,f817,f834,f842,f847,f849,f862,f874,f882,f887,f889,f899,f911,f919,f924,f926,f936,f972,f980,f985,f987,f997,f1016,f1024,f1029,f1031,f1041,f1052,f1065,f1078,f1081,f1105,f1113,f1118,f1120,f1129,f1144,f1190,f1201,f1206,f1211,f1216,f1221,f1304,f1308,f1313,f1326,f1331,f1336,f1338,f1345,f1353,f1361,f1366,f1371,f1373,f1375,f1515,f1523,f1531,f1556,f1561,f1566,f1607,f1625,f1633,f1638,f1643,f1648,f1667,f1679,f1684,f1689,f1692,f1696,f1861,f1866,f1870,f1877,f1882,f1887,f1896,f1904,f1912,f1995,f2027,f2033,f2040,f2048,f2053,f2058,f2063,f2068,f2074,f2130,f2135,f2140,f2145,f2150,f2155,f2185,f2200,f2205,f2210,f2215,f2220,f2225,f2227,f2254,f2259,f2264,f2269,f2274,f2311,f2316,f2321,f2326,f2331,f2541,f2562,f2567,f2572,f2577,f2582,f2584,f2610,f2615,f2623,f2672,f2674])).
% 8.32/1.49  % SZS output end CNFRefutation for theBenchmark.p
% 10.13/2.41  % Elapsed time: 2.043788 seconds
% 10.13/2.41  % CPU time: 10.182648 seconds
% 10.13/2.41  % Memory used: 151.164 MB
%------------------------------------------------------------------------------