%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU216+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:36:18 EDT 2023

% Result   : Theorem 5.46s 1.12s
% Output   : CNFRefutation 5.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SEU216+3 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n015.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue May 30 09:28:34 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.33  % Drodi V3.5.1
% 5.46/1.12  % Refutation found
% 5.46/1.12  % SZS status Theorem for theBenchmark: Theorem is valid
% 5.46/1.12  % SZS output start CNFRefutation for theBenchmark
% 5.46/1.12  fof(f1,axiom,(
% 5.46/1.12    (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f2,axiom,(
% 5.46/1.12    (! [A] :( empty(A)=> function(A) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f5,axiom,(
% 5.46/1.12    (! [A,B] :( relation(B)=> ( B = identity_relation(A)<=> (! [C,D] :( in(ordered_pair(C,D),B)<=> ( in(C,A)& C = D ) ) )) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f6,axiom,(
% 5.46/1.12    (! [A] :( ( relation(A)& function(A) )=> (! [B,C] :( ( in(B,relation_dom(A))=> ( C = apply(A,B)<=> in(ordered_pair(B,C),A) ) )& ( ~ in(B,relation_dom(A))=> ( C = apply(A,B)<=> C = empty_set ) ) ) )) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f8,axiom,(
% 5.46/1.12    (! [A] : relation(identity_relation(A)) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f9,axiom,(
% 5.46/1.12    (! [A] :(? [B] : element(B,A) ))),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f10,axiom,(
% 5.46/1.12    ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f11,axiom,(
% 5.46/1.12    (! [A] : ~ empty(powerset(A)) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f14,axiom,(
% 5.46/1.12    (! [A] :( relation(identity_relation(A))& function(identity_relation(A)) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f18,axiom,(
% 5.46/1.12    (! [A] :( ( ~ empty(A)& relation(A) )=> ~ empty(relation_dom(A)) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f20,axiom,(
% 5.46/1.12    (! [A] :( empty(A)=> ( empty(relation_dom(A))& relation(relation_dom(A)) ) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f22,axiom,(
% 5.46/1.12    (? [A] :( relation(A)& function(A) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f23,axiom,(
% 5.46/1.12    (? [A] :( empty(A)& relation(A) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f24,axiom,(
% 5.46/1.12    (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B) ) )) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f25,axiom,(
% 5.46/1.12    (? [A] : empty(A) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f26,axiom,(
% 5.46/1.12    (? [A] :( ~ empty(A)& relation(A) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f27,axiom,(
% 5.46/1.12    (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f29,axiom,(
% 5.46/1.12    (? [A] :( relation(A)& relation_empty_yielding(A) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f31,axiom,(
% 5.46/1.12    (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f32,axiom,(
% 5.46/1.12    (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f33,conjecture,(
% 5.46/1.12    (! [A,B] :( ( relation(B)& function(B) )=> ( B = identity_relation(A)<=> ( relation_dom(B) = A& (! [C] :( in(C,A)=> apply(B,C) = C ) )) ) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f34,negated_conjecture,(
% 5.46/1.12    ~((! [A,B] :( ( relation(B)& function(B) )=> ( B = identity_relation(A)<=> ( relation_dom(B) = A& (! [C] :( in(C,A)=> apply(B,C) = C ) )) ) ) ))),
% 5.46/1.12    inference(negated_conjecture,[status(cth)],[f33])).
% 5.46/1.12  fof(f36,axiom,(
% 5.46/1.12    (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f37,axiom,(
% 5.46/1.12    (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f38,axiom,(
% 5.46/1.12    (! [A] :( empty(A)=> A = empty_set ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f39,axiom,(
% 5.46/1.12    (! [A] :( relation_dom(identity_relation(A)) = A& relation_rng(identity_relation(A)) = A ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.12  fof(f40,axiom,(
% 5.46/1.12    (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 5.46/1.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.13  fof(f42,axiom,(
% 5.46/1.13    (! [A,B,C] :( ( relation(C)& function(C) )=> ( in(ordered_pair(A,B),C)<=> ( in(A,relation_dom(C))& B = apply(C,A) ) ) ) )),
% 5.46/1.13    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.46/1.13  fof(f43,plain,(
% 5.46/1.13    ![A,B]: (~in(A,B)|~in(B,A))),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f1])).
% 5.46/1.13  fof(f44,plain,(
% 5.46/1.13    ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f43])).
% 5.46/1.13  fof(f45,plain,(
% 5.46/1.13    ![A]: (~empty(A)|function(A))),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 5.46/1.13  fof(f46,plain,(
% 5.46/1.13    ![X0]: (~empty(X0)|function(X0))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f45])).
% 5.46/1.13  fof(f50,plain,(
% 5.46/1.13    ![A,B]: (~relation(B)|(B=identity_relation(A)<=>(![C,D]: (in(ordered_pair(C,D),B)<=>(in(C,A)&C=D)))))),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f5])).
% 5.46/1.13  fof(f51,plain,(
% 5.46/1.13    ![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)))))))),
% 5.46/1.13    inference(NNF_transformation,[status(esa)],[f50])).
% 5.46/1.13  fof(f52,plain,(
% 5.46/1.13    ![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))))))))),
% 5.46/1.13    inference(miniscoping,[status(esa)],[f51])).
% 5.46/1.13  fof(f53,plain,(
% 5.46/1.13    ![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))))))))),
% 5.46/1.13    inference(skolemization,[status(esa)],[f52])).
% 5.46/1.13  fof(f56,plain,(
% 5.46/1.13    ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|in(ordered_pair(X2,X3),X0)|~in(X2,X1)|~X2=X3)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f53])).
% 5.46/1.13  fof(f57,plain,(
% 5.46/1.13    ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|~in(ordered_pair(sk0_0(X1,X0),sk0_1(X1,X0)),X0)|~in(sk0_0(X1,X0),X1)|~sk0_0(X1,X0)=sk0_1(X1,X0))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f53])).
% 5.46/1.13  fof(f58,plain,(
% 5.46/1.13    ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|in(ordered_pair(sk0_0(X1,X0),sk0_1(X1,X0)),X0)|in(sk0_0(X1,X0),X1))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f53])).
% 5.46/1.13  fof(f59,plain,(
% 5.46/1.13    ![X0,X1]: (~relation(X0)|X0=identity_relation(X1)|in(ordered_pair(sk0_0(X1,X0),sk0_1(X1,X0)),X0)|sk0_0(X1,X0)=sk0_1(X1,X0))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f53])).
% 5.46/1.13  fof(f60,plain,(
% 5.46/1.13    ![A]: ((~relation(A)|~function(A))|(![B,C]: ((~in(B,relation_dom(A))|(C=apply(A,B)<=>in(ordered_pair(B,C),A)))&(in(B,relation_dom(A))|(C=apply(A,B)<=>C=empty_set)))))),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f6])).
% 5.46/1.13  fof(f61,plain,(
% 5.46/1.13    ![A]: ((~relation(A)|~function(A))|(![B,C]: ((~in(B,relation_dom(A))|((~C=apply(A,B)|in(ordered_pair(B,C),A))&(C=apply(A,B)|~in(ordered_pair(B,C),A))))&(in(B,relation_dom(A))|((~C=apply(A,B)|C=empty_set)&(C=apply(A,B)|~C=empty_set))))))),
% 5.46/1.13    inference(NNF_transformation,[status(esa)],[f60])).
% 5.46/1.13  fof(f62,plain,(
% 5.46/1.13    ![A]: ((~relation(A)|~function(A))|((![B]: (~in(B,relation_dom(A))|((![C]: (~C=apply(A,B)|in(ordered_pair(B,C),A)))&(![C]: (C=apply(A,B)|~in(ordered_pair(B,C),A))))))&(![B]: (in(B,relation_dom(A))|((![C]: (~C=apply(A,B)|C=empty_set))&(![C]: (C=apply(A,B)|~C=empty_set)))))))),
% 5.46/1.13    inference(miniscoping,[status(esa)],[f61])).
% 5.46/1.13  fof(f63,plain,(
% 5.46/1.13    ![X0,X1,X2]: (~relation(X0)|~function(X0)|~in(X1,relation_dom(X0))|~X2=apply(X0,X1)|in(ordered_pair(X1,X2),X0))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f62])).
% 5.46/1.13  fof(f65,plain,(
% 5.46/1.13    ![X0,X1,X2]: (~relation(X0)|~function(X0)|in(X1,relation_dom(X0))|~X2=apply(X0,X1)|X2=empty_set)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f62])).
% 5.46/1.13  fof(f68,plain,(
% 5.46/1.13    ![X0]: (relation(identity_relation(X0)))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f8])).
% 5.46/1.13  fof(f69,plain,(
% 5.46/1.13    ![A]: element(sk0_2(A),A)),
% 5.46/1.13    inference(skolemization,[status(esa)],[f9])).
% 5.46/1.13  fof(f70,plain,(
% 5.46/1.13    ![X0]: (element(sk0_2(X0),X0))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f69])).
% 5.46/1.13  fof(f71,plain,(
% 5.46/1.13    empty(empty_set)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f10])).
% 5.46/1.13  fof(f72,plain,(
% 5.46/1.13    relation(empty_set)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f10])).
% 5.46/1.13  fof(f74,plain,(
% 5.46/1.13    ![X0]: (~empty(powerset(X0)))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f11])).
% 5.46/1.13  fof(f77,plain,(
% 5.46/1.13    (![A]: relation(identity_relation(A)))&(![A]: function(identity_relation(A)))),
% 5.46/1.13    inference(miniscoping,[status(esa)],[f14])).
% 5.46/1.13  fof(f79,plain,(
% 5.46/1.13    ![X0]: (function(identity_relation(X0)))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f77])).
% 5.46/1.13  fof(f84,plain,(
% 5.46/1.13    ![A]: ((empty(A)|~relation(A))|~empty(relation_dom(A)))),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f18])).
% 5.46/1.13  fof(f85,plain,(
% 5.46/1.13    ![X0]: (empty(X0)|~relation(X0)|~empty(relation_dom(X0)))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f84])).
% 5.46/1.13  fof(f88,plain,(
% 5.46/1.13    ![A]: (~empty(A)|(empty(relation_dom(A))&relation(relation_dom(A))))),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f20])).
% 5.46/1.13  fof(f89,plain,(
% 5.46/1.13    ![X0]: (~empty(X0)|empty(relation_dom(X0)))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f88])).
% 5.46/1.13  fof(f90,plain,(
% 5.46/1.13    ![X0]: (~empty(X0)|relation(relation_dom(X0)))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f88])).
% 5.46/1.13  fof(f94,plain,(
% 5.46/1.13    (relation(sk0_3)&function(sk0_3))),
% 5.46/1.13    inference(skolemization,[status(esa)],[f22])).
% 5.46/1.13  fof(f95,plain,(
% 5.46/1.13    relation(sk0_3)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f94])).
% 5.46/1.13  fof(f96,plain,(
% 5.46/1.13    function(sk0_3)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f94])).
% 5.46/1.13  fof(f97,plain,(
% 5.46/1.13    (empty(sk0_4)&relation(sk0_4))),
% 5.46/1.13    inference(skolemization,[status(esa)],[f23])).
% 5.46/1.13  fof(f98,plain,(
% 5.46/1.13    empty(sk0_4)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f97])).
% 5.46/1.13  fof(f100,plain,(
% 5.46/1.13    ![A]: (empty(A)|(?[B]: (element(B,powerset(A))&~empty(B))))),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f24])).
% 5.46/1.13  fof(f101,plain,(
% 5.46/1.13    ![A]: (empty(A)|(element(sk0_5(A),powerset(A))&~empty(sk0_5(A))))),
% 5.46/1.13    inference(skolemization,[status(esa)],[f100])).
% 5.46/1.13  fof(f102,plain,(
% 5.46/1.13    ![X0]: (empty(X0)|element(sk0_5(X0),powerset(X0)))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f101])).
% 5.46/1.13  fof(f103,plain,(
% 5.46/1.13    ![X0]: (empty(X0)|~empty(sk0_5(X0)))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f101])).
% 5.46/1.13  fof(f104,plain,(
% 5.46/1.13    empty(sk0_6)),
% 5.46/1.13    inference(skolemization,[status(esa)],[f25])).
% 5.46/1.13  fof(f105,plain,(
% 5.46/1.13    empty(sk0_6)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f104])).
% 5.46/1.13  fof(f106,plain,(
% 5.46/1.13    (~empty(sk0_7)&relation(sk0_7))),
% 5.46/1.13    inference(skolemization,[status(esa)],[f26])).
% 5.46/1.13  fof(f108,plain,(
% 5.46/1.13    relation(sk0_7)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f106])).
% 5.46/1.13  fof(f109,plain,(
% 5.46/1.13    ![A]: (element(sk0_8(A),powerset(A))&empty(sk0_8(A)))),
% 5.46/1.13    inference(skolemization,[status(esa)],[f27])).
% 5.46/1.13  fof(f110,plain,(
% 5.46/1.13    ![X0]: (element(sk0_8(X0),powerset(X0)))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f109])).
% 5.46/1.13  fof(f111,plain,(
% 5.46/1.13    ![X0]: (empty(sk0_8(X0)))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f109])).
% 5.46/1.13  fof(f114,plain,(
% 5.46/1.13    (relation(sk0_10)&relation_empty_yielding(sk0_10))),
% 5.46/1.13    inference(skolemization,[status(esa)],[f29])).
% 5.46/1.13  fof(f115,plain,(
% 5.46/1.13    relation(sk0_10)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f114])).
% 5.46/1.13  fof(f119,plain,(
% 5.46/1.13    ![A,B]: (~in(A,B)|element(A,B))),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f31])).
% 5.46/1.13  fof(f120,plain,(
% 5.46/1.13    ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f119])).
% 5.46/1.13  fof(f121,plain,(
% 5.46/1.13    ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f32])).
% 5.46/1.13  fof(f122,plain,(
% 5.46/1.13    ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f121])).
% 5.46/1.13  fof(f123,plain,(
% 5.46/1.13    (?[A,B]: ((relation(B)&function(B))&(B=identity_relation(A)<~>(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C))))))),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f34])).
% 5.46/1.13  fof(f124,plain,(
% 5.46/1.13    ?[A,B]: ((relation(B)&function(B))&((B=identity_relation(A)|(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C))))&(~B=identity_relation(A)|(~relation_dom(B)=A|(?[C]: (in(C,A)&~apply(B,C)=C))))))),
% 5.46/1.13    inference(NNF_transformation,[status(esa)],[f123])).
% 5.46/1.13  fof(f125,plain,(
% 5.46/1.13    ?[B]: ((relation(B)&function(B))&(?[A]: ((B=identity_relation(A)|(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C))))&(~B=identity_relation(A)|(~relation_dom(B)=A|(?[C]: (in(C,A)&~apply(B,C)=C)))))))),
% 5.46/1.13    inference(miniscoping,[status(esa)],[f124])).
% 5.46/1.13  fof(f126,plain,(
% 5.46/1.13    ((relation(sk0_11)&function(sk0_11))&((sk0_11=identity_relation(sk0_12)|(relation_dom(sk0_11)=sk0_12&(![C]: (~in(C,sk0_12)|apply(sk0_11,C)=C))))&(~sk0_11=identity_relation(sk0_12)|(~relation_dom(sk0_11)=sk0_12|(in(sk0_13,sk0_12)&~apply(sk0_11,sk0_13)=sk0_13)))))),
% 5.46/1.13    inference(skolemization,[status(esa)],[f125])).
% 5.46/1.13  fof(f127,plain,(
% 5.46/1.13    relation(sk0_11)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f126])).
% 5.46/1.13  fof(f128,plain,(
% 5.46/1.13    function(sk0_11)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f126])).
% 5.46/1.13  fof(f129,plain,(
% 5.46/1.13    sk0_11=identity_relation(sk0_12)|relation_dom(sk0_11)=sk0_12),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f126])).
% 5.46/1.13  fof(f130,plain,(
% 5.46/1.13    ![X0]: (sk0_11=identity_relation(sk0_12)|~in(X0,sk0_12)|apply(sk0_11,X0)=X0)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f126])).
% 5.46/1.13  fof(f131,plain,(
% 5.46/1.13    ~sk0_11=identity_relation(sk0_12)|~relation_dom(sk0_11)=sk0_12|in(sk0_13,sk0_12)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f126])).
% 5.46/1.13  fof(f132,plain,(
% 5.46/1.13    ~sk0_11=identity_relation(sk0_12)|~relation_dom(sk0_11)=sk0_12|~apply(sk0_11,sk0_13)=sk0_13),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f126])).
% 5.46/1.13  fof(f137,plain,(
% 5.46/1.13    ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f36])).
% 5.46/1.13  fof(f138,plain,(
% 5.46/1.13    ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 5.46/1.13    inference(miniscoping,[status(esa)],[f137])).
% 5.46/1.13  fof(f139,plain,(
% 5.46/1.13    ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f138])).
% 5.46/1.13  fof(f140,plain,(
% 5.46/1.13    ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f37])).
% 5.46/1.13  fof(f141,plain,(
% 5.46/1.13    ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 5.46/1.13    inference(miniscoping,[status(esa)],[f140])).
% 5.46/1.13  fof(f142,plain,(
% 5.46/1.13    ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f141])).
% 5.46/1.13  fof(f143,plain,(
% 5.46/1.13    ![A]: (~empty(A)|A=empty_set)),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f38])).
% 5.46/1.13  fof(f144,plain,(
% 5.46/1.13    ![X0]: (~empty(X0)|X0=empty_set)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f143])).
% 5.46/1.13  fof(f145,plain,(
% 5.46/1.13    (![A]: relation_dom(identity_relation(A))=A)&(![A]: relation_rng(identity_relation(A))=A)),
% 5.46/1.13    inference(miniscoping,[status(esa)],[f39])).
% 5.46/1.13  fof(f146,plain,(
% 5.46/1.13    ![X0]: (relation_dom(identity_relation(X0))=X0)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f145])).
% 5.46/1.13  fof(f147,plain,(
% 5.46/1.13    ![X0]: (relation_rng(identity_relation(X0))=X0)),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f145])).
% 5.46/1.13  fof(f148,plain,(
% 5.46/1.13    ![A,B]: (~in(A,B)|~empty(B))),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f40])).
% 5.46/1.13  fof(f149,plain,(
% 5.46/1.13    ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 5.46/1.13    inference(miniscoping,[status(esa)],[f148])).
% 5.46/1.13  fof(f150,plain,(
% 5.46/1.13    ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f149])).
% 5.46/1.13  fof(f154,plain,(
% 5.46/1.13    ![A,B,C]: ((~relation(C)|~function(C))|(in(ordered_pair(A,B),C)<=>(in(A,relation_dom(C))&B=apply(C,A))))),
% 5.46/1.13    inference(pre_NNF_transformation,[status(esa)],[f42])).
% 5.46/1.13  fof(f155,plain,(
% 5.46/1.13    ![A,B,C]: ((~relation(C)|~function(C))|((~in(ordered_pair(A,B),C)|(in(A,relation_dom(C))&B=apply(C,A)))&(in(ordered_pair(A,B),C)|(~in(A,relation_dom(C))|~B=apply(C,A)))))),
% 5.46/1.13    inference(NNF_transformation,[status(esa)],[f154])).
% 5.46/1.13  fof(f156,plain,(
% 5.46/1.13    ![C]: ((~relation(C)|~function(C))|((![A,B]: (~in(ordered_pair(A,B),C)|(in(A,relation_dom(C))&B=apply(C,A))))&(![A,B]: (in(ordered_pair(A,B),C)|(~in(A,relation_dom(C))|~B=apply(C,A))))))),
% 5.46/1.13    inference(miniscoping,[status(esa)],[f155])).
% 5.46/1.13  fof(f157,plain,(
% 5.46/1.13    ![X0,X1,X2]: (~relation(X0)|~function(X0)|~in(ordered_pair(X1,X2),X0)|in(X1,relation_dom(X0)))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f156])).
% 5.46/1.13  fof(f158,plain,(
% 5.46/1.13    ![X0,X1,X2]: (~relation(X0)|~function(X0)|~in(ordered_pair(X1,X2),X0)|X2=apply(X0,X1))),
% 5.46/1.13    inference(cnf_transformation,[status(esa)],[f156])).
% 5.46/1.13  fof(f160,plain,(
% 5.46/1.13    spl0_0 <=> sk0_11=identity_relation(sk0_12)),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f161,plain,(
% 5.46/1.13    sk0_11=identity_relation(sk0_12)|~spl0_0),
% 5.46/1.13    inference(component_clause,[status(thm)],[f160])).
% 5.46/1.13  fof(f162,plain,(
% 5.46/1.13    ~sk0_11=identity_relation(sk0_12)|spl0_0),
% 5.46/1.13    inference(component_clause,[status(thm)],[f160])).
% 5.46/1.13  fof(f163,plain,(
% 5.46/1.13    spl0_1 <=> relation_dom(sk0_11)=sk0_12),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f164,plain,(
% 5.46/1.13    relation_dom(sk0_11)=sk0_12|~spl0_1),
% 5.46/1.13    inference(component_clause,[status(thm)],[f163])).
% 5.46/1.13  fof(f166,plain,(
% 5.46/1.13    spl0_0|spl0_1),
% 5.46/1.13    inference(split_clause,[status(thm)],[f129,f160,f163])).
% 5.46/1.13  fof(f167,plain,(
% 5.46/1.13    spl0_2 <=> ~in(X0,sk0_12)|apply(sk0_11,X0)=X0),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f168,plain,(
% 5.46/1.13    ![X0]: (~in(X0,sk0_12)|apply(sk0_11,X0)=X0|~spl0_2)),
% 5.46/1.13    inference(component_clause,[status(thm)],[f167])).
% 5.46/1.13  fof(f170,plain,(
% 5.46/1.13    spl0_0|spl0_2),
% 5.46/1.13    inference(split_clause,[status(thm)],[f130,f160,f167])).
% 5.46/1.13  fof(f171,plain,(
% 5.46/1.13    spl0_3 <=> in(sk0_13,sk0_12)),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f172,plain,(
% 5.46/1.13    in(sk0_13,sk0_12)|~spl0_3),
% 5.46/1.13    inference(component_clause,[status(thm)],[f171])).
% 5.46/1.13  fof(f174,plain,(
% 5.46/1.13    ~spl0_0|~spl0_1|spl0_3),
% 5.46/1.13    inference(split_clause,[status(thm)],[f131,f160,f163,f171])).
% 5.46/1.13  fof(f175,plain,(
% 5.46/1.13    spl0_4 <=> apply(sk0_11,sk0_13)=sk0_13),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f176,plain,(
% 5.46/1.13    apply(sk0_11,sk0_13)=sk0_13|~spl0_4),
% 5.46/1.13    inference(component_clause,[status(thm)],[f175])).
% 5.46/1.13  fof(f177,plain,(
% 5.46/1.13    ~apply(sk0_11,sk0_13)=sk0_13|spl0_4),
% 5.46/1.13    inference(component_clause,[status(thm)],[f175])).
% 5.46/1.13  fof(f178,plain,(
% 5.46/1.13    ~spl0_0|~spl0_1|~spl0_4),
% 5.46/1.13    inference(split_clause,[status(thm)],[f132,f160,f163,f175])).
% 5.46/1.13  fof(f181,plain,(
% 5.46/1.13    ![X0,X1]: (~relation(identity_relation(X0))|in(ordered_pair(X1,X1),identity_relation(X0))|~in(X1,X0))),
% 5.46/1.13    inference(destructive_equality_resolution,[status(esa)],[f56])).
% 5.46/1.13  fof(f182,plain,(
% 5.46/1.13    ![X0,X1]: (~relation(X0)|~function(X0)|~in(X1,relation_dom(X0))|in(ordered_pair(X1,apply(X0,X1)),X0))),
% 5.46/1.13    inference(destructive_equality_resolution,[status(esa)],[f63])).
% 5.46/1.13  fof(f183,plain,(
% 5.46/1.13    ![X0,X1]: (~relation(X0)|~function(X0)|in(X1,relation_dom(X0))|apply(X0,X1)=empty_set)),
% 5.46/1.13    inference(destructive_equality_resolution,[status(esa)],[f65])).
% 5.46/1.13  fof(f186,plain,(
% 5.46/1.13    apply(sk0_11,sk0_13)=sk0_13|~spl0_2|~spl0_3),
% 5.46/1.13    inference(resolution,[status(thm)],[f168,f172])).
% 5.46/1.13  fof(f187,plain,(
% 5.46/1.13    $false|spl0_4|~spl0_2|~spl0_3),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f186,f177])).
% 5.46/1.13  fof(f188,plain,(
% 5.46/1.13    spl0_4|~spl0_2|~spl0_3),
% 5.46/1.13    inference(contradiction_clause,[status(thm)],[f187])).
% 5.46/1.13  fof(f191,plain,(
% 5.46/1.13    relation_dom(sk0_11)=sk0_12|~spl0_0),
% 5.46/1.13    inference(paramodulation,[status(thm)],[f161,f146])).
% 5.46/1.13  fof(f192,plain,(
% 5.46/1.13    spl0_1|~spl0_0),
% 5.46/1.13    inference(split_clause,[status(thm)],[f191,f163,f160])).
% 5.46/1.13  fof(f193,plain,(
% 5.46/1.13    spl0_5 <=> empty(sk0_11)),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f194,plain,(
% 5.46/1.13    empty(sk0_11)|~spl0_5),
% 5.46/1.13    inference(component_clause,[status(thm)],[f193])).
% 5.46/1.13  fof(f196,plain,(
% 5.46/1.13    spl0_6 <=> relation(sk0_11)),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f198,plain,(
% 5.46/1.13    ~relation(sk0_11)|spl0_6),
% 5.46/1.13    inference(component_clause,[status(thm)],[f196])).
% 5.46/1.13  fof(f199,plain,(
% 5.46/1.13    spl0_7 <=> empty(sk0_12)),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f201,plain,(
% 5.46/1.13    ~empty(sk0_12)|spl0_7),
% 5.46/1.13    inference(component_clause,[status(thm)],[f199])).
% 5.46/1.13  fof(f202,plain,(
% 5.46/1.13    empty(sk0_11)|~relation(sk0_11)|~empty(sk0_12)|~spl0_1),
% 5.46/1.13    inference(paramodulation,[status(thm)],[f164,f85])).
% 5.46/1.13  fof(f203,plain,(
% 5.46/1.13    spl0_5|~spl0_6|~spl0_7|~spl0_1),
% 5.46/1.13    inference(split_clause,[status(thm)],[f202,f193,f196,f199,f163])).
% 5.46/1.13  fof(f204,plain,(
% 5.46/1.13    ![X0]: (empty(identity_relation(X0))|~relation(identity_relation(X0))|~empty(X0))),
% 5.46/1.13    inference(paramodulation,[status(thm)],[f146,f85])).
% 5.46/1.13  fof(f205,plain,(
% 5.46/1.13    ![X0]: (empty(identity_relation(X0))|~empty(X0))),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f204,f68])).
% 5.46/1.13  fof(f210,plain,(
% 5.46/1.13    spl0_8 <=> function(sk0_11)),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f212,plain,(
% 5.46/1.13    ~function(sk0_11)|spl0_8),
% 5.46/1.13    inference(component_clause,[status(thm)],[f210])).
% 5.46/1.13  fof(f213,plain,(
% 5.46/1.13    spl0_9 <=> ~in(X0,sk0_12)|in(ordered_pair(X0,apply(sk0_11,X0)),sk0_11)),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f214,plain,(
% 5.46/1.13    ![X0]: (~in(X0,sk0_12)|in(ordered_pair(X0,apply(sk0_11,X0)),sk0_11)|~spl0_9)),
% 5.46/1.13    inference(component_clause,[status(thm)],[f213])).
% 5.46/1.13  fof(f216,plain,(
% 5.46/1.13    ![X0]: (~relation(sk0_11)|~function(sk0_11)|~in(X0,sk0_12)|in(ordered_pair(X0,apply(sk0_11,X0)),sk0_11)|~spl0_1)),
% 5.46/1.13    inference(paramodulation,[status(thm)],[f164,f182])).
% 5.46/1.13  fof(f217,plain,(
% 5.46/1.13    ~spl0_6|~spl0_8|spl0_9|~spl0_1),
% 5.46/1.13    inference(split_clause,[status(thm)],[f216,f196,f210,f213,f163])).
% 5.46/1.13  fof(f218,plain,(
% 5.46/1.13    ![X0,X1]: (~relation(identity_relation(X0))|~function(identity_relation(X0))|~in(X1,X0)|in(ordered_pair(X1,apply(identity_relation(X0),X1)),identity_relation(X0)))),
% 5.46/1.13    inference(paramodulation,[status(thm)],[f146,f182])).
% 5.46/1.13  fof(f219,plain,(
% 5.46/1.13    ![X0,X1]: (~function(identity_relation(X0))|~in(X1,X0)|in(ordered_pair(X1,apply(identity_relation(X0),X1)),identity_relation(X0)))),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f218,f68])).
% 5.46/1.13  fof(f220,plain,(
% 5.46/1.13    $false|spl0_8),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f212,f128])).
% 5.46/1.13  fof(f221,plain,(
% 5.46/1.13    spl0_8),
% 5.46/1.13    inference(contradiction_clause,[status(thm)],[f220])).
% 5.46/1.13  fof(f222,plain,(
% 5.46/1.13    $false|spl0_6),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f198,f127])).
% 5.46/1.13  fof(f223,plain,(
% 5.46/1.13    spl0_6),
% 5.46/1.13    inference(contradiction_clause,[status(thm)],[f222])).
% 5.46/1.13  fof(f224,plain,(
% 5.46/1.13    spl0_10 <=> in(sk0_13,relation_dom(sk0_11))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f225,plain,(
% 5.46/1.13    in(sk0_13,relation_dom(sk0_11))|~spl0_10),
% 5.46/1.13    inference(component_clause,[status(thm)],[f224])).
% 5.46/1.13  fof(f226,plain,(
% 5.46/1.13    ~in(sk0_13,relation_dom(sk0_11))|spl0_10),
% 5.46/1.13    inference(component_clause,[status(thm)],[f224])).
% 5.46/1.13  fof(f227,plain,(
% 5.46/1.13    spl0_11 <=> sk0_13=empty_set),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f232,plain,(
% 5.46/1.13    in(sk0_13,sk0_12)|~spl0_1|~spl0_10),
% 5.46/1.13    inference(forward_demodulation,[status(thm)],[f164,f225])).
% 5.46/1.13  fof(f235,plain,(
% 5.46/1.13    in(ordered_pair(sk0_13,apply(sk0_11,sk0_13)),sk0_11)|~spl0_9|~spl0_1|~spl0_10),
% 5.46/1.13    inference(resolution,[status(thm)],[f214,f232])).
% 5.46/1.13  fof(f236,plain,(
% 5.46/1.13    in(ordered_pair(sk0_13,sk0_13),sk0_11)|~spl0_4|~spl0_9|~spl0_1|~spl0_10),
% 5.46/1.13    inference(forward_demodulation,[status(thm)],[f176,f235])).
% 5.46/1.13  fof(f242,plain,(
% 5.46/1.13    ![X0,X1]: (~in(X0,X1)|in(ordered_pair(X0,apply(identity_relation(X1),X0)),identity_relation(X1)))),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f219,f79])).
% 5.46/1.13  fof(f243,plain,(
% 5.46/1.13    in(ordered_pair(ordered_pair(sk0_13,sk0_13),apply(identity_relation(sk0_11),ordered_pair(sk0_13,sk0_13))),identity_relation(sk0_11))|~spl0_4|~spl0_9|~spl0_1|~spl0_10),
% 5.46/1.13    inference(resolution,[status(thm)],[f242,f236])).
% 5.46/1.13  fof(f244,plain,(
% 5.46/1.13    in(ordered_pair(sk0_13,apply(identity_relation(sk0_12),sk0_13)),identity_relation(sk0_12))|~spl0_1|~spl0_10),
% 5.46/1.13    inference(resolution,[status(thm)],[f242,f232])).
% 5.46/1.13  fof(f245,plain,(
% 5.46/1.13    spl0_12 <=> relation(identity_relation(sk0_12))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f247,plain,(
% 5.46/1.13    ~relation(identity_relation(sk0_12))|spl0_12),
% 5.46/1.13    inference(component_clause,[status(thm)],[f245])).
% 5.46/1.13  fof(f248,plain,(
% 5.46/1.13    spl0_13 <=> function(identity_relation(sk0_12))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f250,plain,(
% 5.46/1.13    ~function(identity_relation(sk0_12))|spl0_13),
% 5.46/1.13    inference(component_clause,[status(thm)],[f248])).
% 5.46/1.13  fof(f251,plain,(
% 5.46/1.13    spl0_14 <=> in(sk0_13,relation_dom(identity_relation(sk0_12)))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f252,plain,(
% 5.46/1.13    in(sk0_13,relation_dom(identity_relation(sk0_12)))|~spl0_14),
% 5.46/1.13    inference(component_clause,[status(thm)],[f251])).
% 5.46/1.13  fof(f254,plain,(
% 5.46/1.13    ~relation(identity_relation(sk0_12))|~function(identity_relation(sk0_12))|in(sk0_13,relation_dom(identity_relation(sk0_12)))|~spl0_1|~spl0_10),
% 5.46/1.13    inference(resolution,[status(thm)],[f244,f157])).
% 5.46/1.13  fof(f255,plain,(
% 5.46/1.13    ~spl0_12|~spl0_13|spl0_14|~spl0_1|~spl0_10),
% 5.46/1.13    inference(split_clause,[status(thm)],[f254,f245,f248,f251,f163,f224])).
% 5.46/1.13  fof(f256,plain,(
% 5.46/1.13    spl0_15 <=> apply(identity_relation(sk0_12),sk0_13)=apply(identity_relation(sk0_12),sk0_13)),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f259,plain,(
% 5.46/1.13    ~relation(identity_relation(sk0_12))|~function(identity_relation(sk0_12))|apply(identity_relation(sk0_12),sk0_13)=apply(identity_relation(sk0_12),sk0_13)|~spl0_1|~spl0_10),
% 5.46/1.13    inference(resolution,[status(thm)],[f244,f158])).
% 5.46/1.13  fof(f260,plain,(
% 5.46/1.13    ~spl0_12|~spl0_13|spl0_15|~spl0_1|~spl0_10),
% 5.46/1.13    inference(split_clause,[status(thm)],[f259,f245,f248,f256,f163,f224])).
% 5.46/1.13  fof(f263,plain,(
% 5.46/1.13    $false|spl0_13),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f250,f79])).
% 5.46/1.13  fof(f264,plain,(
% 5.46/1.13    spl0_13),
% 5.46/1.13    inference(contradiction_clause,[status(thm)],[f263])).
% 5.46/1.13  fof(f265,plain,(
% 5.46/1.13    $false|spl0_12),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f247,f68])).
% 5.46/1.13  fof(f266,plain,(
% 5.46/1.13    spl0_12),
% 5.46/1.13    inference(contradiction_clause,[status(thm)],[f265])).
% 5.46/1.13  fof(f267,plain,(
% 5.46/1.13    spl0_16 <=> relation(identity_relation(sk0_11))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f269,plain,(
% 5.46/1.13    ~relation(identity_relation(sk0_11))|spl0_16),
% 5.46/1.13    inference(component_clause,[status(thm)],[f267])).
% 5.46/1.13  fof(f270,plain,(
% 5.46/1.13    spl0_17 <=> function(identity_relation(sk0_11))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f272,plain,(
% 5.46/1.13    ~function(identity_relation(sk0_11))|spl0_17),
% 5.46/1.13    inference(component_clause,[status(thm)],[f270])).
% 5.46/1.13  fof(f273,plain,(
% 5.46/1.13    spl0_18 <=> in(ordered_pair(sk0_13,sk0_13),relation_dom(identity_relation(sk0_11)))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f274,plain,(
% 5.46/1.13    in(ordered_pair(sk0_13,sk0_13),relation_dom(identity_relation(sk0_11)))|~spl0_18),
% 5.46/1.13    inference(component_clause,[status(thm)],[f273])).
% 5.46/1.13  fof(f276,plain,(
% 5.46/1.13    ~relation(identity_relation(sk0_11))|~function(identity_relation(sk0_11))|in(ordered_pair(sk0_13,sk0_13),relation_dom(identity_relation(sk0_11)))|~spl0_4|~spl0_9|~spl0_1|~spl0_10),
% 5.46/1.13    inference(resolution,[status(thm)],[f243,f157])).
% 5.46/1.13  fof(f277,plain,(
% 5.46/1.13    ~spl0_16|~spl0_17|spl0_18|~spl0_4|~spl0_9|~spl0_1|~spl0_10),
% 5.46/1.13    inference(split_clause,[status(thm)],[f276,f267,f270,f273,f175,f213,f163,f224])).
% 5.46/1.13  fof(f278,plain,(
% 5.46/1.13    spl0_19 <=> apply(identity_relation(sk0_11),ordered_pair(sk0_13,sk0_13))=apply(identity_relation(sk0_11),ordered_pair(sk0_13,sk0_13))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f281,plain,(
% 5.46/1.13    ~relation(identity_relation(sk0_11))|~function(identity_relation(sk0_11))|apply(identity_relation(sk0_11),ordered_pair(sk0_13,sk0_13))=apply(identity_relation(sk0_11),ordered_pair(sk0_13,sk0_13))|~spl0_4|~spl0_9|~spl0_1|~spl0_10),
% 5.46/1.13    inference(resolution,[status(thm)],[f243,f158])).
% 5.46/1.13  fof(f282,plain,(
% 5.46/1.13    ~spl0_16|~spl0_17|spl0_19|~spl0_4|~spl0_9|~spl0_1|~spl0_10),
% 5.46/1.13    inference(split_clause,[status(thm)],[f281,f267,f270,f278,f175,f213,f163,f224])).
% 5.46/1.13  fof(f285,plain,(
% 5.46/1.13    ~in(sk0_13,sk0_12)|~spl0_1|spl0_10),
% 5.46/1.13    inference(forward_demodulation,[status(thm)],[f164,f226])).
% 5.46/1.13  fof(f286,plain,(
% 5.46/1.13    in(ordered_pair(sk0_13,apply(sk0_11,sk0_13)),sk0_11)|~spl0_3|~spl0_9),
% 5.46/1.13    inference(resolution,[status(thm)],[f172,f214])).
% 5.46/1.13  fof(f292,plain,(
% 5.46/1.13    $false|~spl0_3|~spl0_1|spl0_10),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f285,f172])).
% 5.46/1.13  fof(f293,plain,(
% 5.46/1.13    ~spl0_3|~spl0_1|spl0_10),
% 5.46/1.13    inference(contradiction_clause,[status(thm)],[f292])).
% 5.46/1.13  fof(f304,plain,(
% 5.46/1.13    spl0_20 <=> apply(sk0_11,sk0_13)=apply(sk0_11,sk0_13)),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f307,plain,(
% 5.46/1.13    ~relation(sk0_11)|~function(sk0_11)|apply(sk0_11,sk0_13)=apply(sk0_11,sk0_13)|~spl0_3|~spl0_9),
% 5.46/1.13    inference(resolution,[status(thm)],[f286,f158])).
% 5.46/1.13  fof(f308,plain,(
% 5.46/1.13    ~spl0_6|~spl0_8|spl0_20|~spl0_3|~spl0_9),
% 5.46/1.13    inference(split_clause,[status(thm)],[f307,f196,f210,f304,f171,f213])).
% 5.46/1.13  fof(f311,plain,(
% 5.46/1.13    $false|spl0_17),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f272,f79])).
% 5.46/1.13  fof(f312,plain,(
% 5.46/1.13    spl0_17),
% 5.46/1.13    inference(contradiction_clause,[status(thm)],[f311])).
% 5.46/1.13  fof(f314,plain,(
% 5.46/1.13    in(sk0_13,sk0_12)|~spl0_14),
% 5.46/1.13    inference(forward_demodulation,[status(thm)],[f146,f252])).
% 5.46/1.13  fof(f315,plain,(
% 5.46/1.13    spl0_3|~spl0_14),
% 5.46/1.13    inference(split_clause,[status(thm)],[f314,f171,f251])).
% 5.46/1.13  fof(f316,plain,(
% 5.46/1.13    $false|spl0_16),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f269,f68])).
% 5.46/1.13  fof(f317,plain,(
% 5.46/1.13    spl0_16),
% 5.46/1.13    inference(contradiction_clause,[status(thm)],[f316])).
% 5.46/1.13  fof(f319,plain,(
% 5.46/1.13    empty(identity_relation(sk0_4))),
% 5.46/1.13    inference(resolution,[status(thm)],[f98,f205])).
% 5.46/1.13  fof(f320,plain,(
% 5.46/1.13    relation(relation_dom(sk0_4))),
% 5.46/1.13    inference(resolution,[status(thm)],[f98,f90])).
% 5.46/1.13  fof(f321,plain,(
% 5.46/1.13    empty(relation_dom(sk0_4))),
% 5.46/1.13    inference(resolution,[status(thm)],[f98,f89])).
% 5.46/1.13  fof(f324,plain,(
% 5.46/1.13    relation(relation_dom(identity_relation(sk0_4)))),
% 5.46/1.13    inference(resolution,[status(thm)],[f319,f90])).
% 5.46/1.13  fof(f325,plain,(
% 5.46/1.13    relation(sk0_4)),
% 5.46/1.13    inference(forward_demodulation,[status(thm)],[f146,f324])).
% 5.46/1.13  fof(f329,plain,(
% 5.46/1.13    spl0_21 <=> empty(sk0_4)),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f332,plain,(
% 5.46/1.13    spl0_22 <=> relation(sk0_4)),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f334,plain,(
% 5.46/1.13    ~relation(sk0_4)|spl0_22),
% 5.46/1.13    inference(component_clause,[status(thm)],[f332])).
% 5.46/1.13  fof(f335,plain,(
% 5.46/1.13    empty(sk0_4)|~relation(sk0_4)),
% 5.46/1.13    inference(resolution,[status(thm)],[f321,f85])).
% 5.46/1.13  fof(f336,plain,(
% 5.46/1.13    spl0_21|~spl0_22),
% 5.46/1.13    inference(split_clause,[status(thm)],[f335,f329,f332])).
% 5.46/1.13  fof(f338,plain,(
% 5.46/1.13    relation(relation_dom(relation_dom(sk0_4)))),
% 5.46/1.13    inference(resolution,[status(thm)],[f321,f90])).
% 5.46/1.13  fof(f339,plain,(
% 5.46/1.13    empty(relation_dom(relation_dom(sk0_4)))),
% 5.46/1.13    inference(resolution,[status(thm)],[f321,f89])).
% 5.46/1.13  fof(f340,plain,(
% 5.46/1.13    ![X0]: (~in(X0,relation_dom(sk0_4)))),
% 5.46/1.13    inference(resolution,[status(thm)],[f321,f150])).
% 5.46/1.13  fof(f341,plain,(
% 5.46/1.13    $false|spl0_22),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f334,f325])).
% 5.46/1.13  fof(f342,plain,(
% 5.46/1.13    spl0_22),
% 5.46/1.13    inference(contradiction_clause,[status(thm)],[f341])).
% 5.46/1.13  fof(f355,plain,(
% 5.46/1.13    spl0_23 <=> empty(relation_dom(sk0_4))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f358,plain,(
% 5.46/1.13    spl0_24 <=> relation(relation_dom(sk0_4))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f360,plain,(
% 5.46/1.13    ~relation(relation_dom(sk0_4))|spl0_24),
% 5.46/1.13    inference(component_clause,[status(thm)],[f358])).
% 5.46/1.13  fof(f361,plain,(
% 5.46/1.13    empty(relation_dom(sk0_4))|~relation(relation_dom(sk0_4))),
% 5.46/1.13    inference(resolution,[status(thm)],[f339,f85])).
% 5.46/1.13  fof(f362,plain,(
% 5.46/1.13    spl0_23|~spl0_24),
% 5.46/1.13    inference(split_clause,[status(thm)],[f361,f355,f358])).
% 5.46/1.13  fof(f364,plain,(
% 5.46/1.13    relation(relation_dom(relation_dom(relation_dom(sk0_4))))),
% 5.46/1.13    inference(resolution,[status(thm)],[f339,f90])).
% 5.46/1.13  fof(f365,plain,(
% 5.46/1.13    empty(relation_dom(relation_dom(relation_dom(sk0_4))))),
% 5.46/1.13    inference(resolution,[status(thm)],[f339,f89])).
% 5.46/1.13  fof(f367,plain,(
% 5.46/1.13    $false|spl0_24),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f360,f320])).
% 5.46/1.13  fof(f368,plain,(
% 5.46/1.13    spl0_24),
% 5.46/1.13    inference(contradiction_clause,[status(thm)],[f367])).
% 5.46/1.13  fof(f387,plain,(
% 5.46/1.13    spl0_25 <=> empty(relation_dom(relation_dom(sk0_4)))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f390,plain,(
% 5.46/1.13    spl0_26 <=> relation(relation_dom(relation_dom(sk0_4)))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f392,plain,(
% 5.46/1.13    ~relation(relation_dom(relation_dom(sk0_4)))|spl0_26),
% 5.46/1.13    inference(component_clause,[status(thm)],[f390])).
% 5.46/1.13  fof(f393,plain,(
% 5.46/1.13    empty(relation_dom(relation_dom(sk0_4)))|~relation(relation_dom(relation_dom(sk0_4)))),
% 5.46/1.13    inference(resolution,[status(thm)],[f365,f85])).
% 5.46/1.13  fof(f394,plain,(
% 5.46/1.13    spl0_25|~spl0_26),
% 5.46/1.13    inference(split_clause,[status(thm)],[f393,f387,f390])).
% 5.46/1.13  fof(f396,plain,(
% 5.46/1.13    relation(relation_dom(relation_dom(relation_dom(relation_dom(sk0_4)))))),
% 5.46/1.13    inference(resolution,[status(thm)],[f365,f90])).
% 5.46/1.13  fof(f397,plain,(
% 5.46/1.13    empty(relation_dom(relation_dom(relation_dom(relation_dom(sk0_4)))))),
% 5.46/1.13    inference(resolution,[status(thm)],[f365,f89])).
% 5.46/1.13  fof(f399,plain,(
% 5.46/1.13    $false|spl0_26),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f392,f338])).
% 5.46/1.13  fof(f400,plain,(
% 5.46/1.13    spl0_26),
% 5.46/1.13    inference(contradiction_clause,[status(thm)],[f399])).
% 5.46/1.13  fof(f425,plain,(
% 5.46/1.13    spl0_27 <=> empty(relation_dom(relation_dom(relation_dom(sk0_4))))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f428,plain,(
% 5.46/1.13    spl0_28 <=> relation(relation_dom(relation_dom(relation_dom(sk0_4))))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f430,plain,(
% 5.46/1.13    ~relation(relation_dom(relation_dom(relation_dom(sk0_4))))|spl0_28),
% 5.46/1.13    inference(component_clause,[status(thm)],[f428])).
% 5.46/1.13  fof(f431,plain,(
% 5.46/1.13    empty(relation_dom(relation_dom(relation_dom(sk0_4))))|~relation(relation_dom(relation_dom(relation_dom(sk0_4))))),
% 5.46/1.13    inference(resolution,[status(thm)],[f397,f85])).
% 5.46/1.13  fof(f432,plain,(
% 5.46/1.13    spl0_27|~spl0_28),
% 5.46/1.13    inference(split_clause,[status(thm)],[f431,f425,f428])).
% 5.46/1.13  fof(f435,plain,(
% 5.46/1.13    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_4))))))),
% 5.46/1.13    inference(resolution,[status(thm)],[f397,f89])).
% 5.46/1.13  fof(f437,plain,(
% 5.46/1.13    $false|spl0_28),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f430,f364])).
% 5.46/1.13  fof(f438,plain,(
% 5.46/1.13    spl0_28),
% 5.46/1.13    inference(contradiction_clause,[status(thm)],[f437])).
% 5.46/1.13  fof(f463,plain,(
% 5.46/1.13    spl0_29 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(sk0_4)))))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f466,plain,(
% 5.46/1.13    spl0_30 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(sk0_4)))))),
% 5.46/1.13    introduced(split_symbol_definition)).
% 5.46/1.13  fof(f468,plain,(
% 5.46/1.13    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(sk0_4)))))|spl0_30),
% 5.46/1.13    inference(component_clause,[status(thm)],[f466])).
% 5.46/1.13  fof(f469,plain,(
% 5.46/1.13    empty(relation_dom(relation_dom(relation_dom(relation_dom(sk0_4)))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(sk0_4)))))),
% 5.46/1.13    inference(resolution,[status(thm)],[f435,f85])).
% 5.46/1.13  fof(f470,plain,(
% 5.46/1.13    spl0_29|~spl0_30),
% 5.46/1.13    inference(split_clause,[status(thm)],[f469,f463,f466])).
% 5.46/1.13  fof(f475,plain,(
% 5.46/1.13    $false|spl0_30),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f468,f396])).
% 5.46/1.13  fof(f476,plain,(
% 5.46/1.13    spl0_30),
% 5.46/1.13    inference(contradiction_clause,[status(thm)],[f475])).
% 5.46/1.13  fof(f490,plain,(
% 5.46/1.13    relation(relation_dom(sk0_6))),
% 5.46/1.13    inference(resolution,[status(thm)],[f105,f90])).
% 5.46/1.13  fof(f491,plain,(
% 5.46/1.13    empty(relation_dom(sk0_6))),
% 5.46/1.13    inference(resolution,[status(thm)],[f105,f89])).
% 5.46/1.13  fof(f492,plain,(
% 5.46/1.13    ![X0]: (~in(X0,sk0_6))),
% 5.46/1.13    inference(resolution,[status(thm)],[f105,f150])).
% 5.46/1.13  fof(f493,plain,(
% 5.46/1.13    sk0_6=empty_set),
% 5.46/1.13    inference(resolution,[status(thm)],[f144,f105])).
% 5.46/1.13  fof(f498,plain,(
% 5.46/1.13    relation_dom(sk0_4)=empty_set),
% 5.46/1.13    inference(resolution,[status(thm)],[f144,f321])).
% 5.46/1.13  fof(f514,plain,(
% 5.46/1.13    identity_relation(sk0_4)=empty_set),
% 5.46/1.13    inference(resolution,[status(thm)],[f144,f319])).
% 5.46/1.13  fof(f515,plain,(
% 5.46/1.13    sk0_4=empty_set),
% 5.46/1.13    inference(resolution,[status(thm)],[f144,f98])).
% 5.46/1.13  fof(f552,plain,(
% 5.46/1.13    ![X0]: (~in(X0,relation_dom(empty_set)))),
% 5.46/1.13    inference(backward_demodulation,[status(thm)],[f515,f340])).
% 5.46/1.13  fof(f560,plain,(
% 5.46/1.13    relation(relation_dom(empty_set))),
% 5.46/1.13    inference(forward_demodulation,[status(thm)],[f493,f490])).
% 5.46/1.13  fof(f561,plain,(
% 5.46/1.13    ![X0]: (relation_dom(empty_set)=identity_relation(X0)|in(ordered_pair(sk0_0(X0,relation_dom(empty_set)),sk0_1(X0,relation_dom(empty_set))),relation_dom(empty_set))|in(sk0_0(X0,relation_dom(empty_set)),X0))),
% 5.46/1.13    inference(resolution,[status(thm)],[f58,f560])).
% 5.46/1.13  fof(f562,plain,(
% 5.46/1.13    ![X0]: (relation_dom(empty_set)=identity_relation(X0)|in(sk0_0(X0,relation_dom(empty_set)),X0))),
% 5.46/1.13    inference(forward_subsumption_resolution,[status(thm)],[f561,f552])).
% 5.46/1.13  fof(f565,plain,(
% 5.46/1.13    ![X0]: (sk0_3=identity_relation(X0)|in(ordered_pair(sk0_0(X0,sk0_3),sk0_1(X0,sk0_3)),sk0_3)|in(sk0_0(X0,sk0_3),X0))),
% 5.46/1.13    inference(resolution,[status(thm)],[f58,f95])).
% 5.46/1.13  fof(f566,plain,(
% 5.46/1.13    ![X0,X1]: (identity_relation(X0)=identity_relation(X1)|in(ordered_pair(sk0_0(X1,identity_relation(X0)),sk0_1(X1,identity_relation(X0))),identity_relation(X0))|in(sk0_0(X1,identity_relation(X0)),X1))),
% 5.46/1.13    inference(resolution,[status(thm)],[f58,f68])).
% 5.46/1.13  fof(f567,plain,(
% 5.46/1.13    ![X0]: (sk0_11=identity_relation(X0)|in(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),sk0_11)|in(sk0_0(X0,sk0_11),X0))),
% 5.46/1.13    inference(resolution,[status(thm)],[f58,f127])).
% 5.46/1.13  fof(f581,plain,(
% 5.46/1.13    ![X0]: (sk0_8(X0)=empty_set)),
% 5.46/1.13    inference(resolution,[status(thm)],[f111,f144])).
% 5.46/1.13  fof(f590,plain,(
% 5.46/1.13    ![X0]: (~in(X0,empty_set))),
% 5.46/1.13    inference(forward_demodulation,[status(thm)],[f493,f492])).
% 5.46/1.13  fof(f603,plain,(
% 5.46/1.14    empty(relation_dom(empty_set))),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f493,f491])).
% 5.46/1.14  fof(f604,plain,(
% 5.46/1.14    spl0_31 <=> empty(empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f607,plain,(
% 5.46/1.14    spl0_32 <=> relation(empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f609,plain,(
% 5.46/1.14    ~relation(empty_set)|spl0_32),
% 5.46/1.14    inference(component_clause,[status(thm)],[f607])).
% 5.46/1.14  fof(f610,plain,(
% 5.46/1.14    empty(empty_set)|~relation(empty_set)),
% 5.46/1.14    inference(resolution,[status(thm)],[f603,f85])).
% 5.46/1.14  fof(f611,plain,(
% 5.46/1.14    spl0_31|~spl0_32),
% 5.46/1.14    inference(split_clause,[status(thm)],[f610,f604,f607])).
% 5.46/1.14  fof(f620,plain,(
% 5.46/1.14    $false|spl0_32),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f609,f72])).
% 5.46/1.14  fof(f621,plain,(
% 5.46/1.14    spl0_32),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f620])).
% 5.46/1.14  fof(f622,plain,(
% 5.46/1.14    relation_dom(empty_set)=empty_set),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f515,f498])).
% 5.46/1.14  fof(f629,plain,(
% 5.46/1.14    spl0_33 <=> function(empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f630,plain,(
% 5.46/1.14    function(empty_set)|~spl0_33),
% 5.46/1.14    inference(component_clause,[status(thm)],[f629])).
% 5.46/1.14  fof(f631,plain,(
% 5.46/1.14    ~function(empty_set)|spl0_33),
% 5.46/1.14    inference(component_clause,[status(thm)],[f629])).
% 5.46/1.14  fof(f632,plain,(
% 5.46/1.14    spl0_34 <=> ~in(X0,empty_set)|in(ordered_pair(X0,apply(empty_set,X0)),empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f635,plain,(
% 5.46/1.14    ![X0]: (~relation(empty_set)|~function(empty_set)|~in(X0,empty_set)|in(ordered_pair(X0,apply(empty_set,X0)),empty_set))),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f622,f182])).
% 5.46/1.14  fof(f636,plain,(
% 5.46/1.14    ~spl0_32|~spl0_33|spl0_34),
% 5.46/1.14    inference(split_clause,[status(thm)],[f635,f607,f629,f632])).
% 5.46/1.14  fof(f639,plain,(
% 5.46/1.14    ~empty(empty_set)|spl0_33),
% 5.46/1.14    inference(resolution,[status(thm)],[f631,f46])).
% 5.46/1.14  fof(f640,plain,(
% 5.46/1.14    $false|spl0_33),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f639,f71])).
% 5.46/1.14  fof(f641,plain,(
% 5.46/1.14    spl0_33),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f640])).
% 5.46/1.14  fof(f642,plain,(
% 5.46/1.14    identity_relation(empty_set)=empty_set),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f515,f514])).
% 5.46/1.14  fof(f647,plain,(
% 5.46/1.14    relation_rng(empty_set)=empty_set),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f642,f147])).
% 5.46/1.14  fof(f662,plain,(
% 5.46/1.14    ![X0,X1]: (in(ordered_pair(X0,X0),identity_relation(X1))|~in(X0,X1))),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f181,f68])).
% 5.46/1.14  fof(f670,plain,(
% 5.46/1.14    ![X0]: (element(empty_set,powerset(X0)))),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f581,f110])).
% 5.46/1.14  fof(f671,plain,(
% 5.46/1.14    ![X0]: (empty(powerset(X0))|in(empty_set,powerset(X0)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f122,f670])).
% 5.46/1.14  fof(f672,plain,(
% 5.46/1.14    ![X0]: (in(empty_set,powerset(X0)))),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f671,f74])).
% 5.46/1.14  fof(f675,plain,(
% 5.46/1.14    ![X0]: (empty(X0)|in(sk0_2(X0),X0))),
% 5.46/1.14    inference(resolution,[status(thm)],[f122,f70])).
% 5.46/1.14  fof(f676,plain,(
% 5.46/1.14    spl0_35 <=> sk0_11=identity_relation(X0)|in(sk0_0(X0,sk0_11),X0)|in(sk0_0(X0,sk0_11),relation_dom(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f677,plain,(
% 5.46/1.14    ![X0]: (sk0_11=identity_relation(X0)|in(sk0_0(X0,sk0_11),X0)|in(sk0_0(X0,sk0_11),relation_dom(sk0_11))|~spl0_35)),
% 5.46/1.14    inference(component_clause,[status(thm)],[f676])).
% 5.46/1.14  fof(f679,plain,(
% 5.46/1.14    ![X0]: (sk0_11=identity_relation(X0)|in(sk0_0(X0,sk0_11),X0)|~relation(sk0_11)|~function(sk0_11)|in(sk0_0(X0,sk0_11),relation_dom(sk0_11)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f567,f157])).
% 5.46/1.14  fof(f680,plain,(
% 5.46/1.14    spl0_35|~spl0_6|~spl0_8),
% 5.46/1.14    inference(split_clause,[status(thm)],[f679,f676,f196,f210])).
% 5.46/1.14  fof(f681,plain,(
% 5.46/1.14    spl0_36 <=> sk0_11=identity_relation(X0)|in(sk0_0(X0,sk0_11),X0)|sk0_1(X0,sk0_11)=apply(sk0_11,sk0_0(X0,sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f682,plain,(
% 5.46/1.14    ![X0]: (sk0_11=identity_relation(X0)|in(sk0_0(X0,sk0_11),X0)|sk0_1(X0,sk0_11)=apply(sk0_11,sk0_0(X0,sk0_11))|~spl0_36)),
% 5.46/1.14    inference(component_clause,[status(thm)],[f681])).
% 5.46/1.14  fof(f684,plain,(
% 5.46/1.14    ![X0]: (sk0_11=identity_relation(X0)|in(sk0_0(X0,sk0_11),X0)|~relation(sk0_11)|~function(sk0_11)|sk0_1(X0,sk0_11)=apply(sk0_11,sk0_0(X0,sk0_11)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f567,f158])).
% 5.46/1.14  fof(f685,plain,(
% 5.46/1.14    spl0_36|~spl0_6|~spl0_8),
% 5.46/1.14    inference(split_clause,[status(thm)],[f684,f681,f196,f210])).
% 5.46/1.14  fof(f686,plain,(
% 5.46/1.14    ![X0]: (sk0_11=identity_relation(X0)|in(sk0_0(X0,sk0_11),X0)|in(ordered_pair(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11))),identity_relation(sk0_11)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f567,f662])).
% 5.46/1.14  fof(f687,plain,(
% 5.46/1.14    ![X0]: (sk0_11=identity_relation(X0)|in(sk0_0(X0,sk0_11),X0)|in(ordered_pair(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)))),identity_relation(sk0_11)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f567,f242])).
% 5.46/1.14  fof(f689,plain,(
% 5.46/1.14    ![X0]: (sk0_11=identity_relation(X0)|in(sk0_0(X0,sk0_11),X0)|in(sk0_0(X0,sk0_11),sk0_12)|~spl0_1|~spl0_35)),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f164,f677])).
% 5.46/1.14  fof(f690,plain,(
% 5.46/1.14    spl0_37 <=> in(sk0_0(sk0_12,sk0_11),sk0_12)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f691,plain,(
% 5.46/1.14    in(sk0_0(sk0_12,sk0_11),sk0_12)|~spl0_37),
% 5.46/1.14    inference(component_clause,[status(thm)],[f690])).
% 5.46/1.14  fof(f692,plain,(
% 5.46/1.14    ~in(sk0_0(sk0_12,sk0_11),sk0_12)|spl0_37),
% 5.46/1.14    inference(component_clause,[status(thm)],[f690])).
% 5.46/1.14  fof(f693,plain,(
% 5.46/1.14    spl0_38 <=> in(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11)),sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f694,plain,(
% 5.46/1.14    in(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11)),sk0_11)|~spl0_38),
% 5.46/1.14    inference(component_clause,[status(thm)],[f693])).
% 5.46/1.14  fof(f695,plain,(
% 5.46/1.14    ~in(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11)),sk0_11)|spl0_38),
% 5.46/1.14    inference(component_clause,[status(thm)],[f693])).
% 5.46/1.14  fof(f696,plain,(
% 5.46/1.14    spl0_39 <=> sk0_0(sk0_12,sk0_11)=sk0_1(sk0_12,sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f697,plain,(
% 5.46/1.14    sk0_0(sk0_12,sk0_11)=sk0_1(sk0_12,sk0_11)|~spl0_39),
% 5.46/1.14    inference(component_clause,[status(thm)],[f696])).
% 5.46/1.14  fof(f698,plain,(
% 5.46/1.14    ~sk0_0(sk0_12,sk0_11)=sk0_1(sk0_12,sk0_11)|spl0_39),
% 5.46/1.14    inference(component_clause,[status(thm)],[f696])).
% 5.46/1.14  fof(f706,plain,(
% 5.46/1.14    ~relation(sk0_11)|sk0_11=identity_relation(sk0_12)|in(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11)),sk0_11)|spl0_39),
% 5.46/1.14    inference(resolution,[status(thm)],[f698,f59])).
% 5.46/1.14  fof(f707,plain,(
% 5.46/1.14    ~spl0_6|spl0_0|spl0_38|spl0_39),
% 5.46/1.14    inference(split_clause,[status(thm)],[f706,f196,f160,f693,f696])).
% 5.46/1.14  fof(f708,plain,(
% 5.46/1.14    ~relation(sk0_11)|sk0_11=identity_relation(sk0_12)|~in(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11)),sk0_11)|~sk0_0(sk0_12,sk0_11)=sk0_1(sk0_12,sk0_11)|~spl0_37),
% 5.46/1.14    inference(resolution,[status(thm)],[f691,f57])).
% 5.46/1.14  fof(f709,plain,(
% 5.46/1.14    ~spl0_6|spl0_0|~spl0_38|~spl0_39|~spl0_37),
% 5.46/1.14    inference(split_clause,[status(thm)],[f708,f196,f160,f693,f696,f690])).
% 5.46/1.14  fof(f710,plain,(
% 5.46/1.14    apply(sk0_11,sk0_0(sk0_12,sk0_11))=sk0_0(sk0_12,sk0_11)|~spl0_37|~spl0_2),
% 5.46/1.14    inference(resolution,[status(thm)],[f691,f168])).
% 5.46/1.14  fof(f717,plain,(
% 5.46/1.14    spl0_40 <=> sk0_11=identity_relation(X0)|in(ordered_pair(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11))),identity_relation(sk0_11))|sk0_11=identity_relation(X0)|~in(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),sk0_11)|~sk0_0(X0,sk0_11)=sk0_1(X0,sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f720,plain,(
% 5.46/1.14    ![X0]: (sk0_11=identity_relation(X0)|in(ordered_pair(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11))),identity_relation(sk0_11))|~relation(sk0_11)|sk0_11=identity_relation(X0)|~in(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),sk0_11)|~sk0_0(X0,sk0_11)=sk0_1(X0,sk0_11))),
% 5.46/1.14    inference(resolution,[status(thm)],[f686,f57])).
% 5.46/1.14  fof(f721,plain,(
% 5.46/1.14    spl0_40|~spl0_6),
% 5.46/1.14    inference(split_clause,[status(thm)],[f720,f717,f196])).
% 5.46/1.14  fof(f722,plain,(
% 5.46/1.14    spl0_41 <=> sk0_11=identity_relation(empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f723,plain,(
% 5.46/1.14    sk0_11=identity_relation(empty_set)|~spl0_41),
% 5.46/1.14    inference(component_clause,[status(thm)],[f722])).
% 5.46/1.14  fof(f724,plain,(
% 5.46/1.14    ~sk0_11=identity_relation(empty_set)|spl0_41),
% 5.46/1.14    inference(component_clause,[status(thm)],[f722])).
% 5.46/1.14  fof(f725,plain,(
% 5.46/1.14    spl0_42 <=> in(ordered_pair(ordered_pair(sk0_0(empty_set,sk0_11),sk0_1(empty_set,sk0_11)),ordered_pair(sk0_0(empty_set,sk0_11),sk0_1(empty_set,sk0_11))),identity_relation(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f728,plain,(
% 5.46/1.14    sk0_11=identity_relation(empty_set)|in(ordered_pair(ordered_pair(sk0_0(empty_set,sk0_11),sk0_1(empty_set,sk0_11)),ordered_pair(sk0_0(empty_set,sk0_11),sk0_1(empty_set,sk0_11))),identity_relation(sk0_11))),
% 5.46/1.14    inference(resolution,[status(thm)],[f686,f590])).
% 5.46/1.14  fof(f729,plain,(
% 5.46/1.14    spl0_41|spl0_42),
% 5.46/1.14    inference(split_clause,[status(thm)],[f728,f722,f725])).
% 5.46/1.14  fof(f730,plain,(
% 5.46/1.14    spl0_43 <=> in(ordered_pair(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11)),ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11))),identity_relation(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f733,plain,(
% 5.46/1.14    spl0_44 <=> apply(sk0_11,sk0_0(sk0_12,sk0_11))=sk0_0(sk0_12,sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f734,plain,(
% 5.46/1.14    apply(sk0_11,sk0_0(sk0_12,sk0_11))=sk0_0(sk0_12,sk0_11)|~spl0_44),
% 5.46/1.14    inference(component_clause,[status(thm)],[f733])).
% 5.46/1.14  fof(f736,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_12)|in(ordered_pair(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11)),ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11))),identity_relation(sk0_11))|apply(sk0_11,sk0_0(sk0_12,sk0_11))=sk0_0(sk0_12,sk0_11)|~spl0_2),
% 5.46/1.14    inference(resolution,[status(thm)],[f686,f168])).
% 5.46/1.14  fof(f737,plain,(
% 5.46/1.14    spl0_0|spl0_43|spl0_44|~spl0_2),
% 5.46/1.14    inference(split_clause,[status(thm)],[f736,f160,f730,f733,f167])).
% 5.46/1.14  fof(f738,plain,(
% 5.46/1.14    spl0_45 <=> in(ordered_pair(sk0_0(sk0_12,sk0_11),apply(sk0_11,sk0_0(sk0_12,sk0_11))),sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f741,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_12)|in(ordered_pair(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11)),ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11))),identity_relation(sk0_11))|in(ordered_pair(sk0_0(sk0_12,sk0_11),apply(sk0_11,sk0_0(sk0_12,sk0_11))),sk0_11)|~spl0_9),
% 5.46/1.14    inference(resolution,[status(thm)],[f686,f214])).
% 5.46/1.14  fof(f742,plain,(
% 5.46/1.14    spl0_0|spl0_43|spl0_45|~spl0_9),
% 5.46/1.14    inference(split_clause,[status(thm)],[f741,f160,f730,f738,f213])).
% 5.46/1.14  fof(f748,plain,(
% 5.46/1.14    sk0_11=empty_set|~spl0_41),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f642,f723])).
% 5.46/1.14  fof(f771,plain,(
% 5.46/1.14    ~empty_set=identity_relation(sk0_12)|~spl0_41|spl0_0),
% 5.46/1.14    inference(backward_demodulation,[status(thm)],[f748,f162])).
% 5.46/1.14  fof(f775,plain,(
% 5.46/1.14    relation_dom(empty_set)=sk0_12|~spl0_41|~spl0_1),
% 5.46/1.14    inference(backward_demodulation,[status(thm)],[f748,f164])).
% 5.46/1.14  fof(f776,plain,(
% 5.46/1.14    empty_set=sk0_12|~spl0_41|~spl0_1),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f622,f775])).
% 5.46/1.14  fof(f779,plain,(
% 5.46/1.14    ~empty(empty_set)|~spl0_41|~spl0_1|spl0_7),
% 5.46/1.14    inference(backward_demodulation,[status(thm)],[f776,f201])).
% 5.46/1.14  fof(f780,plain,(
% 5.46/1.14    $false|~spl0_41|~spl0_1|spl0_7),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f779,f71])).
% 5.46/1.14  fof(f781,plain,(
% 5.46/1.14    ~spl0_41|~spl0_1|spl0_7),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f780])).
% 5.46/1.14  fof(f782,plain,(
% 5.46/1.14    ~sk0_11=empty_set|spl0_41),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f642,f724])).
% 5.46/1.14  fof(f787,plain,(
% 5.46/1.14    sk0_11=empty_set|~spl0_5),
% 5.46/1.14    inference(resolution,[status(thm)],[f194,f144])).
% 5.46/1.14  fof(f803,plain,(
% 5.46/1.14    spl0_46 <=> empty_set=identity_relation(sk0_12)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f804,plain,(
% 5.46/1.14    empty_set=identity_relation(sk0_12)|~spl0_46),
% 5.46/1.14    inference(component_clause,[status(thm)],[f803])).
% 5.46/1.14  fof(f805,plain,(
% 5.46/1.14    ~empty_set=identity_relation(sk0_12)|spl0_46),
% 5.46/1.14    inference(component_clause,[status(thm)],[f803])).
% 5.46/1.14  fof(f806,plain,(
% 5.46/1.14    spl0_47 <=> in(ordered_pair(sk0_0(sk0_12,empty_set),sk0_1(sk0_12,empty_set)),empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f821,plain,(
% 5.46/1.14    ![X0]: (sk0_11=identity_relation(X0)|in(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),sk0_11)|in(sk0_0(X0,sk0_11),X0))),
% 5.46/1.14    inference(resolution,[status(thm)],[f127,f58])).
% 5.46/1.14  fof(f824,plain,(
% 5.46/1.14    spl0_48 <=> in(sk0_0(sk0_12,sk0_11),relation_dom(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f825,plain,(
% 5.46/1.14    in(sk0_0(sk0_12,sk0_11),relation_dom(sk0_11))|~spl0_48),
% 5.46/1.14    inference(component_clause,[status(thm)],[f824])).
% 5.46/1.14  fof(f827,plain,(
% 5.46/1.14    spl0_49 <=> sk0_0(sk0_12,sk0_11)=empty_set),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f828,plain,(
% 5.46/1.14    sk0_0(sk0_12,sk0_11)=empty_set|~spl0_49),
% 5.46/1.14    inference(component_clause,[status(thm)],[f827])).
% 5.46/1.14  fof(f830,plain,(
% 5.46/1.14    ~relation(sk0_11)|~function(sk0_11)|in(sk0_0(sk0_12,sk0_11),relation_dom(sk0_11))|sk0_0(sk0_12,sk0_11)=empty_set|~spl0_37|~spl0_2),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f710,f183])).
% 5.46/1.14  fof(f831,plain,(
% 5.46/1.14    ~spl0_6|~spl0_8|spl0_48|spl0_49|~spl0_37|~spl0_2),
% 5.46/1.14    inference(split_clause,[status(thm)],[f830,f196,f210,f824,f827,f690,f167])).
% 5.46/1.14  fof(f847,plain,(
% 5.46/1.14    ![X0]: (sk0_11=identity_relation(X0)|in(sk0_0(X0,sk0_11),X0)|in(ordered_pair(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)))),identity_relation(sk0_11)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f567,f242])).
% 5.46/1.14  fof(f848,plain,(
% 5.46/1.14    ![X0]: (sk0_11=identity_relation(X0)|in(sk0_0(X0,sk0_11),X0)|~in(sk0_11,ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11))))),
% 5.46/1.14    inference(resolution,[status(thm)],[f567,f44])).
% 5.46/1.14  fof(f849,plain,(
% 5.46/1.14    in(ordered_pair(sk0_0(sk0_12,sk0_11),apply(sk0_11,sk0_0(sk0_12,sk0_11))),sk0_11)|~spl0_9|~spl0_37),
% 5.46/1.14    inference(resolution,[status(thm)],[f214,f691])).
% 5.46/1.14  fof(f850,plain,(
% 5.46/1.14    in(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_0(sk0_12,sk0_11)),sk0_11)|~spl0_2|~spl0_9|~spl0_37),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f710,f849])).
% 5.46/1.14  fof(f851,plain,(
% 5.46/1.14    ~relation(sk0_11)|~function(sk0_11)|in(sk0_0(sk0_12,sk0_11),relation_dom(sk0_11))|~spl0_38),
% 5.46/1.14    inference(resolution,[status(thm)],[f694,f157])).
% 5.46/1.14  fof(f852,plain,(
% 5.46/1.14    ~spl0_6|~spl0_8|spl0_48|~spl0_38),
% 5.46/1.14    inference(split_clause,[status(thm)],[f851,f196,f210,f824,f693])).
% 5.46/1.14  fof(f853,plain,(
% 5.46/1.14    spl0_50 <=> sk0_1(sk0_12,sk0_11)=apply(sk0_11,sk0_0(sk0_12,sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f854,plain,(
% 5.46/1.14    sk0_1(sk0_12,sk0_11)=apply(sk0_11,sk0_0(sk0_12,sk0_11))|~spl0_50),
% 5.46/1.14    inference(component_clause,[status(thm)],[f853])).
% 5.46/1.14  fof(f856,plain,(
% 5.46/1.14    ~relation(sk0_11)|~function(sk0_11)|sk0_1(sk0_12,sk0_11)=apply(sk0_11,sk0_0(sk0_12,sk0_11))|~spl0_38),
% 5.46/1.14    inference(resolution,[status(thm)],[f694,f158])).
% 5.46/1.14  fof(f857,plain,(
% 5.46/1.14    ~spl0_6|~spl0_8|spl0_50|~spl0_38),
% 5.46/1.14    inference(split_clause,[status(thm)],[f856,f196,f210,f853,f693])).
% 5.46/1.14  fof(f861,plain,(
% 5.46/1.14    sk0_1(sk0_12,sk0_11)=sk0_0(sk0_12,sk0_11)|~spl0_37|~spl0_2|~spl0_50),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f710,f854])).
% 5.46/1.14  fof(f862,plain,(
% 5.46/1.14    $false|spl0_39|~spl0_37|~spl0_2|~spl0_50),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f861,f698])).
% 5.46/1.14  fof(f863,plain,(
% 5.46/1.14    spl0_39|~spl0_37|~spl0_2|~spl0_50),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f862])).
% 5.46/1.14  fof(f865,plain,(
% 5.46/1.14    $false|spl0_41|~spl0_5),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f787,f782])).
% 5.46/1.14  fof(f866,plain,(
% 5.46/1.14    spl0_41|~spl0_5),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f865])).
% 5.46/1.14  fof(f867,plain,(
% 5.46/1.14    in(sk0_0(sk0_12,sk0_11),sk0_12)|~spl0_1|~spl0_48),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f164,f825])).
% 5.46/1.14  fof(f868,plain,(
% 5.46/1.14    spl0_37|~spl0_1|~spl0_48),
% 5.46/1.14    inference(split_clause,[status(thm)],[f867,f690,f163,f824])).
% 5.46/1.14  fof(f869,plain,(
% 5.46/1.14    spl0_51 <=> in(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_0(sk0_12,sk0_11)),sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f870,plain,(
% 5.46/1.14    in(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_0(sk0_12,sk0_11)),sk0_11)|~spl0_51),
% 5.46/1.14    inference(component_clause,[status(thm)],[f869])).
% 5.46/1.14  fof(f872,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_12)|in(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_0(sk0_12,sk0_11)),sk0_11)|in(sk0_0(sk0_12,sk0_11),sk0_12)|~spl0_39),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f697,f567])).
% 5.46/1.14  fof(f873,plain,(
% 5.46/1.14    spl0_0|spl0_51|spl0_37|~spl0_39),
% 5.46/1.14    inference(split_clause,[status(thm)],[f872,f160,f869,f690,f696])).
% 5.46/1.14  fof(f883,plain,(
% 5.46/1.14    in(ordered_pair(sk0_0(sk0_12,sk0_11),apply(sk0_11,sk0_0(sk0_12,sk0_11))),sk0_11)|~spl0_37|~spl0_9),
% 5.46/1.14    inference(resolution,[status(thm)],[f691,f214])).
% 5.46/1.14  fof(f884,plain,(
% 5.46/1.14    in(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_0(sk0_12,sk0_11)),sk0_11)|~spl0_2|~spl0_37|~spl0_9),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f710,f883])).
% 5.46/1.14  fof(f889,plain,(
% 5.46/1.14    ~relation(sk0_11)|~function(sk0_11)|in(sk0_0(sk0_12,sk0_11),relation_dom(sk0_11))|~spl0_2|~spl0_9|~spl0_37),
% 5.46/1.14    inference(resolution,[status(thm)],[f850,f157])).
% 5.46/1.14  fof(f890,plain,(
% 5.46/1.14    ~spl0_6|~spl0_8|spl0_48|~spl0_2|~spl0_9|~spl0_37),
% 5.46/1.14    inference(split_clause,[status(thm)],[f889,f196,f210,f824,f167,f213,f690])).
% 5.46/1.14  fof(f891,plain,(
% 5.46/1.14    ~relation(sk0_11)|~function(sk0_11)|sk0_0(sk0_12,sk0_11)=apply(sk0_11,sk0_0(sk0_12,sk0_11))|~spl0_2|~spl0_9|~spl0_37),
% 5.46/1.14    inference(resolution,[status(thm)],[f850,f158])).
% 5.46/1.14  fof(f892,plain,(
% 5.46/1.14    ~spl0_6|~spl0_8|spl0_44|~spl0_2|~spl0_9|~spl0_37),
% 5.46/1.14    inference(split_clause,[status(thm)],[f891,f196,f210,f733,f167,f213,f690])).
% 5.46/1.14  fof(f918,plain,(
% 5.46/1.14    relation_dom(empty_set)=sk0_12|~spl0_5|~spl0_1),
% 5.46/1.14    inference(backward_demodulation,[status(thm)],[f787,f164])).
% 5.46/1.14  fof(f919,plain,(
% 5.46/1.14    empty_set=sk0_12|~spl0_5|~spl0_1),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f622,f918])).
% 5.46/1.14  fof(f943,plain,(
% 5.46/1.14    ~empty_set=identity_relation(empty_set)|~spl0_1|~spl0_41|spl0_0),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f776,f771])).
% 5.46/1.14  fof(f944,plain,(
% 5.46/1.14    ~empty_set=empty_set|~spl0_1|~spl0_41|spl0_0),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f642,f943])).
% 5.46/1.14  fof(f945,plain,(
% 5.46/1.14    $false|~spl0_1|~spl0_41|spl0_0),
% 5.46/1.14    inference(trivial_equality_resolution,[status(esa)],[f944])).
% 5.46/1.14  fof(f946,plain,(
% 5.46/1.14    ~spl0_1|~spl0_41|spl0_0),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f945])).
% 5.46/1.14  fof(f1007,plain,(
% 5.46/1.14    ![X0,X1]: (identity_relation(X0)=identity_relation(relation_dom(X1))|in(ordered_pair(sk0_0(relation_dom(X1),identity_relation(X0)),sk0_1(relation_dom(X1),identity_relation(X0))),identity_relation(X0))|~relation(X1)|~function(X1)|in(ordered_pair(sk0_0(relation_dom(X1),identity_relation(X0)),apply(X1,sk0_0(relation_dom(X1),identity_relation(X0)))),X1))),
% 5.46/1.14    inference(resolution,[status(thm)],[f566,f182])).
% 5.46/1.14  fof(f1026,plain,(
% 5.46/1.14    ![X0]: (in(ordered_pair(sk0_0(sk0_12,identity_relation(X0)),apply(sk0_11,sk0_0(sk0_12,identity_relation(X0)))),sk0_11)|identity_relation(X0)=identity_relation(sk0_12)|in(ordered_pair(sk0_0(sk0_12,identity_relation(X0)),sk0_1(sk0_12,identity_relation(X0))),identity_relation(X0))|~spl0_9)),
% 5.46/1.14    inference(resolution,[status(thm)],[f214,f566])).
% 5.46/1.14  fof(f1027,plain,(
% 5.46/1.14    ![X0]: (empty_set=identity_relation(X0)|in(sk0_0(X0,relation_dom(empty_set)),X0))),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f622,f562])).
% 5.46/1.14  fof(f1028,plain,(
% 5.46/1.14    ![X0]: (empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0))),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f622,f1027])).
% 5.46/1.14  fof(f1029,plain,(
% 5.46/1.14    spl0_53 <=> empty_set=identity_relation(X0)|empty_set=identity_relation(X0)|~in(ordered_pair(sk0_0(X0,empty_set),sk0_1(X0,empty_set)),empty_set)|~sk0_0(X0,empty_set)=sk0_1(X0,empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1032,plain,(
% 5.46/1.14    ![X0]: (empty_set=identity_relation(X0)|~relation(empty_set)|empty_set=identity_relation(X0)|~in(ordered_pair(sk0_0(X0,empty_set),sk0_1(X0,empty_set)),empty_set)|~sk0_0(X0,empty_set)=sk0_1(X0,empty_set))),
% 5.46/1.14    inference(resolution,[status(thm)],[f1028,f57])).
% 5.46/1.14  fof(f1033,plain,(
% 5.46/1.14    spl0_53|~spl0_32),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1032,f1029,f607])).
% 5.46/1.14  fof(f1034,plain,(
% 5.46/1.14    spl0_54 <=> in(ordered_pair(sk0_0(sk0_12,empty_set),apply(sk0_11,sk0_0(sk0_12,empty_set))),sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1037,plain,(
% 5.46/1.14    empty_set=identity_relation(sk0_12)|in(ordered_pair(sk0_0(sk0_12,empty_set),apply(sk0_11,sk0_0(sk0_12,empty_set))),sk0_11)|~spl0_9),
% 5.46/1.14    inference(resolution,[status(thm)],[f1028,f214])).
% 5.46/1.14  fof(f1038,plain,(
% 5.46/1.14    spl0_46|spl0_54|~spl0_9),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1037,f803,f1034,f213])).
% 5.46/1.14  fof(f1039,plain,(
% 5.46/1.14    spl0_55 <=> apply(sk0_11,sk0_0(sk0_12,empty_set))=sk0_0(sk0_12,empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1040,plain,(
% 5.46/1.14    apply(sk0_11,sk0_0(sk0_12,empty_set))=sk0_0(sk0_12,empty_set)|~spl0_55),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1039])).
% 5.46/1.14  fof(f1042,plain,(
% 5.46/1.14    empty_set=identity_relation(sk0_12)|apply(sk0_11,sk0_0(sk0_12,empty_set))=sk0_0(sk0_12,empty_set)|~spl0_2),
% 5.46/1.14    inference(resolution,[status(thm)],[f1028,f168])).
% 5.46/1.14  fof(f1043,plain,(
% 5.46/1.14    spl0_46|spl0_55|~spl0_2),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1042,f803,f1039,f167])).
% 5.46/1.14  fof(f1048,plain,(
% 5.46/1.14    ![X0]: (empty_set=identity_relation(X0)|~in(X0,sk0_0(X0,empty_set)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f1028,f44])).
% 5.46/1.14  fof(f1058,plain,(
% 5.46/1.14    relation_rng(empty_set)=sk0_12|~spl0_46),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f804,f147])).
% 5.46/1.14  fof(f1059,plain,(
% 5.46/1.14    empty_set=sk0_12|~spl0_46),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f647,f1058])).
% 5.46/1.14  fof(f1070,plain,(
% 5.46/1.14    ~empty(empty_set)|~spl0_46|spl0_7),
% 5.46/1.14    inference(backward_demodulation,[status(thm)],[f1059,f201])).
% 5.46/1.14  fof(f1071,plain,(
% 5.46/1.14    $false|~spl0_46|spl0_7),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1070,f71])).
% 5.46/1.14  fof(f1072,plain,(
% 5.46/1.14    ~spl0_46|spl0_7),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f1071])).
% 5.46/1.14  fof(f1081,plain,(
% 5.46/1.14    ![X0]: (in(ordered_pair(empty_set,empty_set),identity_relation(powerset(X0))))),
% 5.46/1.14    inference(resolution,[status(thm)],[f672,f662])).
% 5.46/1.14  fof(f1085,plain,(
% 5.46/1.14    ![X0]: (empty(relation_dom(X0))|~relation(X0)|~function(X0)|in(ordered_pair(sk0_2(relation_dom(X0)),apply(X0,sk0_2(relation_dom(X0)))),X0))),
% 5.46/1.14    inference(resolution,[status(thm)],[f675,f182])).
% 5.46/1.14  fof(f1086,plain,(
% 5.46/1.14    ![X0]: (empty(X0)|in(ordered_pair(sk0_2(X0),sk0_2(X0)),identity_relation(X0)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f675,f662])).
% 5.46/1.14  fof(f1088,plain,(
% 5.46/1.14    ![X0]: (empty(X0)|~in(X0,sk0_2(X0)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f675,f44])).
% 5.46/1.14  fof(f1122,plain,(
% 5.46/1.14    spl0_56 <=> apply(sk0_11,sk0_2(sk0_12))=sk0_2(sk0_12)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1123,plain,(
% 5.46/1.14    apply(sk0_11,sk0_2(sk0_12))=sk0_2(sk0_12)|~spl0_56),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1122])).
% 5.46/1.14  fof(f1125,plain,(
% 5.46/1.14    apply(sk0_11,sk0_2(sk0_12))=sk0_2(sk0_12)|empty(sk0_12)|~spl0_2),
% 5.46/1.14    inference(resolution,[status(thm)],[f168,f675])).
% 5.46/1.14  fof(f1126,plain,(
% 5.46/1.14    spl0_56|spl0_7|~spl0_2),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1125,f1122,f199,f167])).
% 5.46/1.14  fof(f1130,plain,(
% 5.46/1.14    spl0_57 <=> in(sk0_2(sk0_12),relation_dom(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1133,plain,(
% 5.46/1.14    spl0_58 <=> sk0_2(sk0_12)=empty_set),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1134,plain,(
% 5.46/1.14    sk0_2(sk0_12)=empty_set|~spl0_58),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1133])).
% 5.46/1.14  fof(f1136,plain,(
% 5.46/1.14    ~relation(sk0_11)|~function(sk0_11)|in(sk0_2(sk0_12),relation_dom(sk0_11))|sk0_2(sk0_12)=empty_set|~spl0_56),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1123,f183])).
% 5.46/1.14  fof(f1137,plain,(
% 5.46/1.14    ~spl0_6|~spl0_8|spl0_57|spl0_58|~spl0_56),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1136,f196,f210,f1130,f1133,f1122])).
% 5.46/1.14  fof(f1202,plain,(
% 5.46/1.14    ![X0,X1]: (~in(X0,X1)|~element(X1,powerset(empty_set)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f142,f71])).
% 5.46/1.14  fof(f1209,plain,(
% 5.46/1.14    ![X0]: (~in(X0,sk0_2(powerset(empty_set))))),
% 5.46/1.14    inference(resolution,[status(thm)],[f1202,f70])).
% 5.46/1.14  fof(f1211,plain,(
% 5.46/1.14    ![X0,X1]: (~in(X0,X1)|~in(X1,powerset(empty_set)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f1202,f120])).
% 5.46/1.14  fof(f1214,plain,(
% 5.46/1.14    empty(sk0_2(powerset(empty_set)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f1209,f675])).
% 5.46/1.14  fof(f1222,plain,(
% 5.46/1.14    sk0_2(powerset(empty_set))=empty_set),
% 5.46/1.14    inference(resolution,[status(thm)],[f1214,f144])).
% 5.46/1.14  fof(f1231,plain,(
% 5.46/1.14    spl0_60 <=> empty(powerset(empty_set))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1232,plain,(
% 5.46/1.14    empty(powerset(empty_set))|~spl0_60),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1231])).
% 5.46/1.14  fof(f1234,plain,(
% 5.46/1.14    spl0_61 <=> in(powerset(empty_set),empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1237,plain,(
% 5.46/1.14    empty(powerset(empty_set))|~in(powerset(empty_set),empty_set)),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1222,f1088])).
% 5.46/1.14  fof(f1238,plain,(
% 5.46/1.14    spl0_60|~spl0_61),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1237,f1231,f1234])).
% 5.46/1.14  fof(f1239,plain,(
% 5.46/1.14    spl0_62 <=> in(empty_set,powerset(empty_set))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1242,plain,(
% 5.46/1.14    empty(powerset(empty_set))|in(empty_set,powerset(empty_set))),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1222,f675])).
% 5.46/1.14  fof(f1243,plain,(
% 5.46/1.14    spl0_60|spl0_62),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1242,f1231,f1239])).
% 5.46/1.14  fof(f1245,plain,(
% 5.46/1.14    $false|~spl0_60),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1232,f74])).
% 5.46/1.14  fof(f1246,plain,(
% 5.46/1.14    ~spl0_60),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f1245])).
% 5.46/1.14  fof(f1259,plain,(
% 5.46/1.14    ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|empty(X2)|in(X0,X2))),
% 5.46/1.14    inference(resolution,[status(thm)],[f139,f122])).
% 5.46/1.14  fof(f1260,plain,(
% 5.46/1.14    ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|in(X0,X2))),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1259,f142])).
% 5.46/1.14  fof(f1264,plain,(
% 5.46/1.14    spl0_64 <=> relation(sk0_10)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1266,plain,(
% 5.46/1.14    ~relation(sk0_10)|spl0_64),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1264])).
% 5.46/1.14  fof(f1283,plain,(
% 5.46/1.14    spl0_68 <=> relation(sk0_7)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1285,plain,(
% 5.46/1.14    ~relation(sk0_7)|spl0_68),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1283])).
% 5.46/1.14  fof(f1299,plain,(
% 5.46/1.14    $false|spl0_68),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1285,f108])).
% 5.46/1.14  fof(f1300,plain,(
% 5.46/1.14    spl0_68),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f1299])).
% 5.46/1.14  fof(f1301,plain,(
% 5.46/1.14    spl0_71 <=> sk0_3=identity_relation(X0)|in(sk0_0(X0,sk0_3),X0)|in(sk0_0(X0,sk0_3),relation_dom(sk0_3))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1304,plain,(
% 5.46/1.14    spl0_72 <=> relation(sk0_3)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1306,plain,(
% 5.46/1.14    ~relation(sk0_3)|spl0_72),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1304])).
% 5.46/1.14  fof(f1307,plain,(
% 5.46/1.14    spl0_73 <=> function(sk0_3)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1309,plain,(
% 5.46/1.14    ~function(sk0_3)|spl0_73),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1307])).
% 5.46/1.14  fof(f1310,plain,(
% 5.46/1.14    ![X0]: (sk0_3=identity_relation(X0)|in(sk0_0(X0,sk0_3),X0)|~relation(sk0_3)|~function(sk0_3)|in(sk0_0(X0,sk0_3),relation_dom(sk0_3)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f565,f157])).
% 5.46/1.14  fof(f1311,plain,(
% 5.46/1.14    spl0_71|~spl0_72|~spl0_73),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1310,f1301,f1304,f1307])).
% 5.46/1.14  fof(f1312,plain,(
% 5.46/1.14    spl0_74 <=> sk0_3=identity_relation(X0)|in(sk0_0(X0,sk0_3),X0)|sk0_1(X0,sk0_3)=apply(sk0_3,sk0_0(X0,sk0_3))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1315,plain,(
% 5.46/1.14    ![X0]: (sk0_3=identity_relation(X0)|in(sk0_0(X0,sk0_3),X0)|~relation(sk0_3)|~function(sk0_3)|sk0_1(X0,sk0_3)=apply(sk0_3,sk0_0(X0,sk0_3)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f565,f158])).
% 5.46/1.14  fof(f1316,plain,(
% 5.46/1.14    spl0_74|~spl0_72|~spl0_73),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1315,f1312,f1304,f1307])).
% 5.46/1.14  fof(f1320,plain,(
% 5.46/1.14    $false|spl0_73),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1309,f96])).
% 5.46/1.14  fof(f1321,plain,(
% 5.46/1.14    spl0_73),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f1320])).
% 5.46/1.14  fof(f1322,plain,(
% 5.46/1.14    $false|spl0_72),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1306,f95])).
% 5.46/1.14  fof(f1323,plain,(
% 5.46/1.14    spl0_72),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f1322])).
% 5.46/1.14  fof(f1343,plain,(
% 5.46/1.14    spl0_75 <=> in(ordered_pair(sk0_2(sk0_12),apply(sk0_11,sk0_2(sk0_12))),sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1344,plain,(
% 5.46/1.14    in(ordered_pair(sk0_2(sk0_12),apply(sk0_11,sk0_2(sk0_12))),sk0_11)|~spl0_75),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1343])).
% 5.46/1.14  fof(f1346,plain,(
% 5.46/1.14    in(ordered_pair(sk0_2(sk0_12),apply(sk0_11,sk0_2(sk0_12))),sk0_11)|empty(sk0_12)|~spl0_9),
% 5.46/1.14    inference(resolution,[status(thm)],[f214,f675])).
% 5.46/1.14  fof(f1347,plain,(
% 5.46/1.14    spl0_75|spl0_7|~spl0_9),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1346,f1343,f199,f213])).
% 5.46/1.14  fof(f1351,plain,(
% 5.46/1.14    in(ordered_pair(sk0_2(sk0_12),sk0_2(sk0_12)),sk0_11)|~spl0_56|~spl0_75),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f1123,f1344])).
% 5.46/1.14  fof(f1353,plain,(
% 5.46/1.14    ![X0,X1]: (~in(X0,sk0_5(X1))|in(X0,X1)|empty(X1))),
% 5.46/1.14    inference(resolution,[status(thm)],[f1260,f102])).
% 5.46/1.14  fof(f1372,plain,(
% 5.46/1.14    spl0_76 <=> in(sk0_0(sk0_12,empty_set),relation_dom(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1373,plain,(
% 5.46/1.14    in(sk0_0(sk0_12,empty_set),relation_dom(sk0_11))|~spl0_76),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1372])).
% 5.46/1.14  fof(f1375,plain,(
% 5.46/1.14    spl0_77 <=> sk0_0(sk0_12,empty_set)=empty_set),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1376,plain,(
% 5.46/1.14    sk0_0(sk0_12,empty_set)=empty_set|~spl0_77),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1375])).
% 5.46/1.14  fof(f1378,plain,(
% 5.46/1.14    ~relation(sk0_11)|~function(sk0_11)|in(sk0_0(sk0_12,empty_set),relation_dom(sk0_11))|sk0_0(sk0_12,empty_set)=empty_set|~spl0_55),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1040,f183])).
% 5.46/1.14  fof(f1379,plain,(
% 5.46/1.14    ~spl0_6|~spl0_8|spl0_76|spl0_77|~spl0_55),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1378,f196,f210,f1372,f1375,f1039])).
% 5.46/1.14  fof(f1380,plain,(
% 5.46/1.14    in(sk0_0(sk0_12,empty_set),sk0_12)|~spl0_1|~spl0_76),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f164,f1373])).
% 5.46/1.14  fof(f1381,plain,(
% 5.46/1.14    spl0_78 <=> sk0_0(sk0_12,empty_set)=sk0_1(sk0_12,empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1384,plain,(
% 5.46/1.14    ~relation(empty_set)|empty_set=identity_relation(sk0_12)|~in(ordered_pair(sk0_0(sk0_12,empty_set),sk0_1(sk0_12,empty_set)),empty_set)|~sk0_0(sk0_12,empty_set)=sk0_1(sk0_12,empty_set)|~spl0_1|~spl0_76),
% 5.46/1.14    inference(resolution,[status(thm)],[f1380,f57])).
% 5.46/1.14  fof(f1385,plain,(
% 5.46/1.14    ~spl0_32|spl0_46|~spl0_47|~spl0_78|~spl0_1|~spl0_76),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1384,f607,f803,f806,f1381,f163,f1372])).
% 5.46/1.14  fof(f1392,plain,(
% 5.46/1.14    spl0_79 <=> in(ordered_pair(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11)))),identity_relation(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1395,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_12)|in(ordered_pair(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11)))),identity_relation(sk0_11))|spl0_37),
% 5.46/1.14    inference(resolution,[status(thm)],[f687,f692])).
% 5.46/1.14  fof(f1396,plain,(
% 5.46/1.14    spl0_0|spl0_79|spl0_37),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1395,f160,f1392,f690])).
% 5.46/1.14  fof(f1397,plain,(
% 5.46/1.14    spl0_80 <=> sk0_11=identity_relation(X0)|in(ordered_pair(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)))),identity_relation(sk0_11))|sk0_11=identity_relation(X0)|~in(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),sk0_11)|~sk0_0(X0,sk0_11)=sk0_1(X0,sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1400,plain,(
% 5.46/1.14    ![X0]: (sk0_11=identity_relation(X0)|in(ordered_pair(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)))),identity_relation(sk0_11))|~relation(sk0_11)|sk0_11=identity_relation(X0)|~in(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),sk0_11)|~sk0_0(X0,sk0_11)=sk0_1(X0,sk0_11))),
% 5.46/1.14    inference(resolution,[status(thm)],[f687,f57])).
% 5.46/1.14  fof(f1401,plain,(
% 5.46/1.14    spl0_80|~spl0_6),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1400,f1397,f196])).
% 5.46/1.14  fof(f1402,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_12)|in(ordered_pair(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(sk0_12,sk0_11),sk0_1(sk0_12,sk0_11)))),identity_relation(sk0_11))|in(ordered_pair(sk0_0(sk0_12,sk0_11),apply(sk0_11,sk0_0(sk0_12,sk0_11))),sk0_11)|~spl0_9),
% 5.46/1.14    inference(resolution,[status(thm)],[f687,f214])).
% 5.46/1.14  fof(f1403,plain,(
% 5.46/1.14    spl0_0|spl0_79|spl0_45|~spl0_9),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1402,f160,f1392,f738,f213])).
% 5.46/1.14  fof(f1406,plain,(
% 5.46/1.14    spl0_81 <=> in(ordered_pair(ordered_pair(sk0_0(empty_set,sk0_11),sk0_1(empty_set,sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(empty_set,sk0_11),sk0_1(empty_set,sk0_11)))),identity_relation(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1409,plain,(
% 5.46/1.14    sk0_11=identity_relation(empty_set)|in(ordered_pair(ordered_pair(sk0_0(empty_set,sk0_11),sk0_1(empty_set,sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(empty_set,sk0_11),sk0_1(empty_set,sk0_11)))),identity_relation(sk0_11))),
% 5.46/1.14    inference(resolution,[status(thm)],[f687,f590])).
% 5.46/1.14  fof(f1410,plain,(
% 5.46/1.14    spl0_41|spl0_81),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1409,f722,f1406])).
% 5.46/1.14  fof(f1418,plain,(
% 5.46/1.14    ~relation(sk0_11)|~function(sk0_11)|in(sk0_0(sk0_12,sk0_11),relation_dom(sk0_11))|sk0_0(sk0_12,sk0_11)=empty_set|~spl0_44),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f734,f183])).
% 5.46/1.14  fof(f1419,plain,(
% 5.46/1.14    ~spl0_6|~spl0_8|spl0_48|spl0_49|~spl0_44),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1418,f196,f210,f824,f827,f733])).
% 5.46/1.14  fof(f1422,plain,(
% 5.46/1.14    spl0_82 <=> in(empty_set,sk0_12)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1423,plain,(
% 5.46/1.14    in(empty_set,sk0_12)|~spl0_82),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1422])).
% 5.46/1.14  fof(f1424,plain,(
% 5.46/1.14    ~in(empty_set,sk0_12)|spl0_82),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1422])).
% 5.46/1.14  fof(f1447,plain,(
% 5.46/1.14    apply(sk0_11,sk0_0(sk0_12,empty_set))=empty_set|~spl0_77|~spl0_55),
% 5.46/1.14    inference(backward_demodulation,[status(thm)],[f1376,f1040])).
% 5.46/1.14  fof(f1448,plain,(
% 5.46/1.14    apply(sk0_11,empty_set)=empty_set|~spl0_77|~spl0_55),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f1376,f1447])).
% 5.46/1.14  fof(f1449,plain,(
% 5.46/1.14    empty_set=identity_relation(sk0_12)|in(empty_set,sk0_12)|~spl0_77),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1376,f1028])).
% 5.46/1.14  fof(f1450,plain,(
% 5.46/1.14    spl0_46|spl0_82|~spl0_77),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1449,f803,f1422,f1375])).
% 5.46/1.14  fof(f1451,plain,(
% 5.46/1.14    ~relation(empty_set)|empty_set=identity_relation(sk0_12)|~in(ordered_pair(sk0_0(sk0_12,empty_set),sk0_1(sk0_12,empty_set)),empty_set)|~in(empty_set,sk0_12)|~sk0_0(sk0_12,empty_set)=sk0_1(sk0_12,empty_set)|~spl0_77),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1376,f57])).
% 5.46/1.14  fof(f1452,plain,(
% 5.46/1.14    ~spl0_32|spl0_46|~spl0_47|~spl0_82|~spl0_78|~spl0_77),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1451,f607,f803,f806,f1422,f1381,f1375])).
% 5.46/1.14  fof(f1456,plain,(
% 5.46/1.14    in(ordered_pair(empty_set,empty_set),identity_relation(sk0_12))|~spl0_82),
% 5.46/1.14    inference(resolution,[status(thm)],[f1423,f662])).
% 5.46/1.14  fof(f1459,plain,(
% 5.46/1.14    spl0_85 <=> in(empty_set,relation_dom(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1460,plain,(
% 5.46/1.14    in(empty_set,relation_dom(sk0_11))|~spl0_85),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1459])).
% 5.46/1.14  fof(f1462,plain,(
% 5.46/1.14    spl0_86 <=> empty_set=empty_set),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1465,plain,(
% 5.46/1.14    ~relation(sk0_11)|~function(sk0_11)|in(empty_set,relation_dom(sk0_11))|empty_set=empty_set|~spl0_77|~spl0_55),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1448,f183])).
% 5.46/1.14  fof(f1466,plain,(
% 5.46/1.14    ~spl0_6|~spl0_8|spl0_85|spl0_86|~spl0_77|~spl0_55),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1465,f196,f210,f1459,f1462,f1375,f1039])).
% 5.46/1.14  fof(f1472,plain,(
% 5.46/1.14    spl0_88 <=> sk0_11=identity_relation(X0)|sk0_1(X0,sk0_11)=apply(sk0_11,sk0_0(X0,sk0_11))|sk0_11=identity_relation(X0)|~in(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),sk0_11)|~sk0_0(X0,sk0_11)=sk0_1(X0,sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1475,plain,(
% 5.46/1.14    ![X0]: (sk0_11=identity_relation(X0)|sk0_1(X0,sk0_11)=apply(sk0_11,sk0_0(X0,sk0_11))|~relation(sk0_11)|sk0_11=identity_relation(X0)|~in(ordered_pair(sk0_0(X0,sk0_11),sk0_1(X0,sk0_11)),sk0_11)|~sk0_0(X0,sk0_11)=sk0_1(X0,sk0_11)|~spl0_36)),
% 5.46/1.14    inference(resolution,[status(thm)],[f682,f57])).
% 5.46/1.14  fof(f1476,plain,(
% 5.46/1.14    spl0_88|~spl0_6|~spl0_36),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1475,f1472,f196,f681])).
% 5.46/1.14  fof(f1481,plain,(
% 5.46/1.14    spl0_89 <=> sk0_1(empty_set,sk0_11)=apply(sk0_11,sk0_0(empty_set,sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1482,plain,(
% 5.46/1.14    sk0_1(empty_set,sk0_11)=apply(sk0_11,sk0_0(empty_set,sk0_11))|~spl0_89),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1481])).
% 5.46/1.14  fof(f1484,plain,(
% 5.46/1.14    sk0_11=identity_relation(empty_set)|sk0_1(empty_set,sk0_11)=apply(sk0_11,sk0_0(empty_set,sk0_11))|~spl0_36),
% 5.46/1.14    inference(resolution,[status(thm)],[f682,f590])).
% 5.46/1.14  fof(f1485,plain,(
% 5.46/1.14    spl0_41|spl0_89|~spl0_36),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1484,f722,f1481,f681])).
% 5.46/1.14  fof(f1490,plain,(
% 5.46/1.14    $false|spl0_64),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1266,f115])).
% 5.46/1.14  fof(f1491,plain,(
% 5.46/1.14    spl0_64),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f1490])).
% 5.46/1.14  fof(f1493,plain,(
% 5.46/1.14    in(ordered_pair(sk0_13,sk0_13),sk0_11)|~spl0_18),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f146,f274])).
% 5.46/1.14  fof(f1495,plain,(
% 5.46/1.14    in(empty_set,sk0_12)|~spl0_1|~spl0_85),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f164,f1460])).
% 5.46/1.14  fof(f1553,plain,(
% 5.46/1.14    in(sk0_13,empty_set)|~spl0_5|~spl0_1|~spl0_3),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f919,f172])).
% 5.46/1.14  fof(f1554,plain,(
% 5.46/1.14    $false|~spl0_5|~spl0_1|~spl0_3),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1553,f590])).
% 5.46/1.14  fof(f1555,plain,(
% 5.46/1.14    ~spl0_5|~spl0_1|~spl0_3),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f1554])).
% 5.46/1.14  fof(f1559,plain,(
% 5.46/1.14    in(ordered_pair(sk0_13,sk0_13),identity_relation(sk0_12))|~spl0_3),
% 5.46/1.14    inference(resolution,[status(thm)],[f172,f662])).
% 5.46/1.14  fof(f1566,plain,(
% 5.46/1.14    spl0_91 <=> in(sk0_12,empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1569,plain,(
% 5.46/1.14    empty(sk0_12)|~in(sk0_12,empty_set)|~spl0_58),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1134,f1088])).
% 5.46/1.14  fof(f1570,plain,(
% 5.46/1.14    spl0_7|~spl0_91|~spl0_58),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1569,f199,f1566,f1133])).
% 5.46/1.14  fof(f1571,plain,(
% 5.46/1.14    empty(sk0_12)|in(empty_set,sk0_12)|~spl0_58),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1134,f675])).
% 5.46/1.14  fof(f1572,plain,(
% 5.46/1.14    spl0_7|spl0_82|~spl0_58),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1571,f199,f1422,f1133])).
% 5.46/1.14  fof(f1578,plain,(
% 5.46/1.14    ~relation(sk0_11)|~function(sk0_11)|in(sk0_13,relation_dom(sk0_11))|~spl0_18),
% 5.46/1.14    inference(resolution,[status(thm)],[f1493,f157])).
% 5.46/1.14  fof(f1579,plain,(
% 5.46/1.14    ~spl0_6|~spl0_8|spl0_10|~spl0_18),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1578,f196,f210,f224,f273])).
% 5.46/1.14  fof(f1593,plain,(
% 5.46/1.14    spl0_92 <=> sk0_13=apply(identity_relation(sk0_12),sk0_13)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1594,plain,(
% 5.46/1.14    sk0_13=apply(identity_relation(sk0_12),sk0_13)|~spl0_92),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1593])).
% 5.46/1.14  fof(f1596,plain,(
% 5.46/1.14    ~relation(identity_relation(sk0_12))|~function(identity_relation(sk0_12))|sk0_13=apply(identity_relation(sk0_12),sk0_13)|~spl0_3),
% 5.46/1.14    inference(resolution,[status(thm)],[f1559,f158])).
% 5.46/1.14  fof(f1597,plain,(
% 5.46/1.14    ~spl0_12|~spl0_13|spl0_92|~spl0_3),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1596,f245,f248,f1593,f171])).
% 5.46/1.14  fof(f1601,plain,(
% 5.46/1.14    ~relation(identity_relation(sk0_12))|~function(identity_relation(sk0_12))|in(sk0_13,relation_dom(identity_relation(sk0_12)))|sk0_13=empty_set|~spl0_92),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1594,f183])).
% 5.46/1.14  fof(f1602,plain,(
% 5.46/1.14    ~spl0_12|~spl0_13|spl0_14|spl0_11|~spl0_92),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1601,f245,f248,f251,f227,f1593])).
% 5.46/1.14  fof(f1603,plain,(
% 5.46/1.14    in(ordered_pair(empty_set,sk0_2(sk0_12)),sk0_11)|~spl0_58|~spl0_56|~spl0_75),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f1134,f1351])).
% 5.46/1.14  fof(f1604,plain,(
% 5.46/1.14    in(ordered_pair(empty_set,empty_set),sk0_11)|~spl0_58|~spl0_56|~spl0_75),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f1134,f1603])).
% 5.46/1.14  fof(f1605,plain,(
% 5.46/1.14    ~relation(sk0_11)|~function(sk0_11)|in(empty_set,relation_dom(sk0_11))|~spl0_58|~spl0_56|~spl0_75),
% 5.46/1.14    inference(resolution,[status(thm)],[f1604,f157])).
% 5.46/1.14  fof(f1606,plain,(
% 5.46/1.14    ~spl0_6|~spl0_8|spl0_85|~spl0_58|~spl0_56|~spl0_75),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1605,f196,f210,f1459,f1133,f1122,f1343])).
% 5.46/1.14  fof(f1607,plain,(
% 5.46/1.14    spl0_93 <=> empty_set=apply(sk0_11,empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1610,plain,(
% 5.46/1.14    ~relation(sk0_11)|~function(sk0_11)|empty_set=apply(sk0_11,empty_set)|~spl0_58|~spl0_56|~spl0_75),
% 5.46/1.14    inference(resolution,[status(thm)],[f1604,f158])).
% 5.46/1.14  fof(f1611,plain,(
% 5.46/1.14    ~spl0_6|~spl0_8|spl0_93|~spl0_58|~spl0_56|~spl0_75),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1610,f196,f210,f1607,f1133,f1122,f1343])).
% 5.46/1.14  fof(f1647,plain,(
% 5.46/1.14    spl0_94 <=> in(empty_set,relation_dom(identity_relation(sk0_12)))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1648,plain,(
% 5.46/1.14    in(empty_set,relation_dom(identity_relation(sk0_12)))|~spl0_94),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1647])).
% 5.46/1.14  fof(f1650,plain,(
% 5.46/1.14    ~relation(identity_relation(sk0_12))|~function(identity_relation(sk0_12))|in(empty_set,relation_dom(identity_relation(sk0_12)))|~spl0_82),
% 5.46/1.14    inference(resolution,[status(thm)],[f1456,f157])).
% 5.46/1.14  fof(f1651,plain,(
% 5.46/1.14    ~spl0_12|~spl0_13|spl0_94|~spl0_82),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1650,f245,f248,f1647,f1422])).
% 5.46/1.14  fof(f1652,plain,(
% 5.46/1.14    spl0_95 <=> empty_set=apply(identity_relation(sk0_12),empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1653,plain,(
% 5.46/1.14    empty_set=apply(identity_relation(sk0_12),empty_set)|~spl0_95),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1652])).
% 5.46/1.14  fof(f1655,plain,(
% 5.46/1.14    ~relation(identity_relation(sk0_12))|~function(identity_relation(sk0_12))|empty_set=apply(identity_relation(sk0_12),empty_set)|~spl0_82),
% 5.46/1.14    inference(resolution,[status(thm)],[f1456,f158])).
% 5.46/1.14  fof(f1656,plain,(
% 5.46/1.14    ~spl0_12|~spl0_13|spl0_95|~spl0_82),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1655,f245,f248,f1652,f1422])).
% 5.46/1.14  fof(f1660,plain,(
% 5.46/1.14    ~relation(identity_relation(sk0_12))|~function(identity_relation(sk0_12))|in(empty_set,relation_dom(identity_relation(sk0_12)))|empty_set=empty_set|~spl0_95),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1653,f183])).
% 5.46/1.14  fof(f1661,plain,(
% 5.46/1.14    ~spl0_12|~spl0_13|spl0_94|spl0_86|~spl0_95),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1660,f245,f248,f1647,f1462,f1652])).
% 5.46/1.14  fof(f1682,plain,(
% 5.46/1.14    empty_set=identity_relation(sk0_12)|~in(sk0_12,empty_set)|~spl0_77),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1376,f1048])).
% 5.46/1.14  fof(f1683,plain,(
% 5.46/1.14    spl0_46|~spl0_91|~spl0_77),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1682,f803,f1566,f1375])).
% 5.46/1.14  fof(f1809,plain,(
% 5.46/1.14    spl0_96 <=> ~in(X0,sk0_2(powerset(empty_set)))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1812,plain,(
% 5.46/1.14    ![X0]: (~in(X0,sk0_2(powerset(empty_set)))|empty(powerset(empty_set)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f1211,f675])).
% 5.46/1.14  fof(f1813,plain,(
% 5.46/1.14    spl0_96|spl0_60),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1812,f1809,f1231])).
% 5.46/1.14  fof(f1815,plain,(
% 5.46/1.14    spl0_97 <=> ~in(X0,sk0_0(powerset(empty_set),sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1816,plain,(
% 5.46/1.14    ![X0]: (~in(X0,sk0_0(powerset(empty_set),sk0_11))|~spl0_97)),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1815])).
% 5.46/1.14  fof(f1818,plain,(
% 5.46/1.14    spl0_98 <=> sk0_11=identity_relation(powerset(empty_set))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1819,plain,(
% 5.46/1.14    sk0_11=identity_relation(powerset(empty_set))|~spl0_98),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1818])).
% 5.46/1.14  fof(f1821,plain,(
% 5.46/1.14    spl0_99 <=> in(ordered_pair(ordered_pair(sk0_0(powerset(empty_set),sk0_11),sk0_1(powerset(empty_set),sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(powerset(empty_set),sk0_11),sk0_1(powerset(empty_set),sk0_11)))),identity_relation(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1824,plain,(
% 5.46/1.14    ![X0]: (~in(X0,sk0_0(powerset(empty_set),sk0_11))|sk0_11=identity_relation(powerset(empty_set))|in(ordered_pair(ordered_pair(sk0_0(powerset(empty_set),sk0_11),sk0_1(powerset(empty_set),sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(powerset(empty_set),sk0_11),sk0_1(powerset(empty_set),sk0_11)))),identity_relation(sk0_11)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f1211,f847])).
% 5.46/1.14  fof(f1825,plain,(
% 5.46/1.14    spl0_97|spl0_98|spl0_99),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1824,f1815,f1818,f1821])).
% 5.46/1.14  fof(f1826,plain,(
% 5.46/1.14    spl0_100 <=> in(ordered_pair(ordered_pair(sk0_0(powerset(empty_set),sk0_11),sk0_1(powerset(empty_set),sk0_11)),ordered_pair(sk0_0(powerset(empty_set),sk0_11),sk0_1(powerset(empty_set),sk0_11))),identity_relation(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1829,plain,(
% 5.46/1.14    ![X0]: (~in(X0,sk0_0(powerset(empty_set),sk0_11))|sk0_11=identity_relation(powerset(empty_set))|in(ordered_pair(ordered_pair(sk0_0(powerset(empty_set),sk0_11),sk0_1(powerset(empty_set),sk0_11)),ordered_pair(sk0_0(powerset(empty_set),sk0_11),sk0_1(powerset(empty_set),sk0_11))),identity_relation(sk0_11)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f1211,f686])).
% 5.46/1.14  fof(f1830,plain,(
% 5.46/1.14    spl0_97|spl0_98|spl0_100),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1829,f1815,f1818,f1826])).
% 5.46/1.14  fof(f1831,plain,(
% 5.46/1.14    spl0_101 <=> ~in(X0,sk0_0(powerset(empty_set),empty_set))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1832,plain,(
% 5.46/1.14    ![X0]: (~in(X0,sk0_0(powerset(empty_set),empty_set))|~spl0_101)),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1831])).
% 5.46/1.14  fof(f1834,plain,(
% 5.46/1.14    spl0_102 <=> empty_set=identity_relation(powerset(empty_set))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1835,plain,(
% 5.46/1.14    empty_set=identity_relation(powerset(empty_set))|~spl0_102),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1834])).
% 5.46/1.14  fof(f1837,plain,(
% 5.46/1.14    ![X0]: (~in(X0,sk0_0(powerset(empty_set),empty_set))|empty_set=identity_relation(powerset(empty_set)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f1211,f1028])).
% 5.46/1.14  fof(f1838,plain,(
% 5.46/1.14    spl0_101|spl0_102),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1837,f1831,f1834])).
% 5.46/1.14  fof(f1851,plain,(
% 5.46/1.14    relation_dom(sk0_11)=powerset(empty_set)|~spl0_98),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1819,f146])).
% 5.46/1.14  fof(f1852,plain,(
% 5.46/1.14    sk0_12=powerset(empty_set)|~spl0_1|~spl0_98),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f164,f1851])).
% 5.46/1.14  fof(f1855,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_12)|~spl0_1|~spl0_98),
% 5.46/1.14    inference(backward_demodulation,[status(thm)],[f1852,f1819])).
% 5.46/1.14  fof(f1856,plain,(
% 5.46/1.14    spl0_0|~spl0_1|~spl0_98),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1855,f160,f163,f1818])).
% 5.46/1.14  fof(f1898,plain,(
% 5.46/1.14    empty(sk0_0(powerset(empty_set),empty_set))|~spl0_101),
% 5.46/1.14    inference(resolution,[status(thm)],[f1832,f675])).
% 5.46/1.14  fof(f1899,plain,(
% 5.46/1.14    spl0_106 <=> sk0_11=identity_relation(sk0_0(powerset(empty_set),empty_set))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1900,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_0(powerset(empty_set),empty_set))|~spl0_106),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1899])).
% 5.46/1.14  fof(f1902,plain,(
% 5.46/1.14    spl0_107 <=> in(ordered_pair(ordered_pair(sk0_0(sk0_0(powerset(empty_set),empty_set),sk0_11),sk0_1(sk0_0(powerset(empty_set),empty_set),sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(sk0_0(powerset(empty_set),empty_set),sk0_11),sk0_1(sk0_0(powerset(empty_set),empty_set),sk0_11)))),identity_relation(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1905,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_0(powerset(empty_set),empty_set))|in(ordered_pair(ordered_pair(sk0_0(sk0_0(powerset(empty_set),empty_set),sk0_11),sk0_1(sk0_0(powerset(empty_set),empty_set),sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(sk0_0(powerset(empty_set),empty_set),sk0_11),sk0_1(sk0_0(powerset(empty_set),empty_set),sk0_11)))),identity_relation(sk0_11))|~spl0_101),
% 5.46/1.14    inference(resolution,[status(thm)],[f1832,f847])).
% 5.46/1.14  fof(f1906,plain,(
% 5.46/1.14    spl0_106|spl0_107|~spl0_101),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1905,f1899,f1902,f1831])).
% 5.46/1.14  fof(f1907,plain,(
% 5.46/1.14    spl0_108 <=> in(ordered_pair(ordered_pair(sk0_0(sk0_0(powerset(empty_set),empty_set),sk0_11),sk0_1(sk0_0(powerset(empty_set),empty_set),sk0_11)),ordered_pair(sk0_0(sk0_0(powerset(empty_set),empty_set),sk0_11),sk0_1(sk0_0(powerset(empty_set),empty_set),sk0_11))),identity_relation(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1910,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_0(powerset(empty_set),empty_set))|in(ordered_pair(ordered_pair(sk0_0(sk0_0(powerset(empty_set),empty_set),sk0_11),sk0_1(sk0_0(powerset(empty_set),empty_set),sk0_11)),ordered_pair(sk0_0(sk0_0(powerset(empty_set),empty_set),sk0_11),sk0_1(sk0_0(powerset(empty_set),empty_set),sk0_11))),identity_relation(sk0_11))|~spl0_101),
% 5.46/1.14    inference(resolution,[status(thm)],[f1832,f686])).
% 5.46/1.14  fof(f1911,plain,(
% 5.46/1.14    spl0_106|spl0_108|~spl0_101),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1910,f1899,f1907,f1831])).
% 5.46/1.14  fof(f1919,plain,(
% 5.46/1.14    sk0_0(powerset(empty_set),empty_set)=empty_set|~spl0_101),
% 5.46/1.14    inference(resolution,[status(thm)],[f1898,f144])).
% 5.46/1.14  fof(f1940,plain,(
% 5.46/1.14    spl0_111 <=> sk0_11=identity_relation(sk0_0(powerset(empty_set),sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1941,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_0(powerset(empty_set),sk0_11))|~spl0_111),
% 5.46/1.14    inference(component_clause,[status(thm)],[f1940])).
% 5.46/1.14  fof(f1943,plain,(
% 5.46/1.14    spl0_112 <=> in(ordered_pair(ordered_pair(sk0_0(sk0_0(powerset(empty_set),sk0_11),sk0_11),sk0_1(sk0_0(powerset(empty_set),sk0_11),sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(sk0_0(powerset(empty_set),sk0_11),sk0_11),sk0_1(sk0_0(powerset(empty_set),sk0_11),sk0_11)))),identity_relation(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1946,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_0(powerset(empty_set),sk0_11))|in(ordered_pair(ordered_pair(sk0_0(sk0_0(powerset(empty_set),sk0_11),sk0_11),sk0_1(sk0_0(powerset(empty_set),sk0_11),sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(sk0_0(powerset(empty_set),sk0_11),sk0_11),sk0_1(sk0_0(powerset(empty_set),sk0_11),sk0_11)))),identity_relation(sk0_11))|~spl0_97),
% 5.46/1.14    inference(resolution,[status(thm)],[f1816,f847])).
% 5.46/1.14  fof(f1947,plain,(
% 5.46/1.14    spl0_111|spl0_112|~spl0_97),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1946,f1940,f1943,f1815])).
% 5.46/1.14  fof(f1948,plain,(
% 5.46/1.14    spl0_113 <=> in(ordered_pair(ordered_pair(sk0_0(sk0_0(powerset(empty_set),sk0_11),sk0_11),sk0_1(sk0_0(powerset(empty_set),sk0_11),sk0_11)),ordered_pair(sk0_0(sk0_0(powerset(empty_set),sk0_11),sk0_11),sk0_1(sk0_0(powerset(empty_set),sk0_11),sk0_11))),identity_relation(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f1951,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_0(powerset(empty_set),sk0_11))|in(ordered_pair(ordered_pair(sk0_0(sk0_0(powerset(empty_set),sk0_11),sk0_11),sk0_1(sk0_0(powerset(empty_set),sk0_11),sk0_11)),ordered_pair(sk0_0(sk0_0(powerset(empty_set),sk0_11),sk0_11),sk0_1(sk0_0(powerset(empty_set),sk0_11),sk0_11))),identity_relation(sk0_11))|~spl0_97),
% 5.46/1.14    inference(resolution,[status(thm)],[f1816,f686])).
% 5.46/1.14  fof(f1952,plain,(
% 5.46/1.14    spl0_111|spl0_113|~spl0_97),
% 5.46/1.14    inference(split_clause,[status(thm)],[f1951,f1940,f1948,f1815])).
% 5.46/1.14  fof(f1957,plain,(
% 5.46/1.14    in(ordered_pair(empty_set,empty_set),empty_set)|~spl0_102),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1835,f1081])).
% 5.46/1.14  fof(f1958,plain,(
% 5.46/1.14    $false|~spl0_102),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1957,f590])).
% 5.46/1.14  fof(f1959,plain,(
% 5.46/1.14    ~spl0_102),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f1958])).
% 5.46/1.14  fof(f1989,plain,(
% 5.46/1.14    sk0_11=identity_relation(empty_set)|~spl0_101|~spl0_106),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f1919,f1900])).
% 5.46/1.14  fof(f1990,plain,(
% 5.46/1.14    sk0_11=empty_set|~spl0_101|~spl0_106),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f642,f1989])).
% 5.46/1.14  fof(f1991,plain,(
% 5.46/1.14    $false|spl0_41|~spl0_101|~spl0_106),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1990,f782])).
% 5.46/1.14  fof(f1992,plain,(
% 5.46/1.14    spl0_41|~spl0_101|~spl0_106),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f1991])).
% 5.46/1.14  fof(f2021,plain,(
% 5.46/1.14    relation_dom(sk0_11)=sk0_0(powerset(empty_set),sk0_11)|~spl0_111),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1941,f146])).
% 5.46/1.14  fof(f2022,plain,(
% 5.46/1.14    sk0_12=sk0_0(powerset(empty_set),sk0_11)|~spl0_1|~spl0_111),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f164,f2021])).
% 5.46/1.14  fof(f2026,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_12)|~spl0_1|~spl0_111),
% 5.46/1.14    inference(backward_demodulation,[status(thm)],[f2022,f1941])).
% 5.46/1.14  fof(f2027,plain,(
% 5.46/1.14    spl0_0|~spl0_1|~spl0_111),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2026,f160,f163,f1940])).
% 5.46/1.14  fof(f2061,plain,(
% 5.46/1.14    ![X0]: (in(sk0_2(sk0_5(X0)),X0)|empty(X0)|empty(sk0_5(X0)))),
% 5.46/1.14    inference(resolution,[status(thm)],[f1353,f675])).
% 5.46/1.14  fof(f2062,plain,(
% 5.46/1.14    ![X0]: (in(sk0_2(sk0_5(X0)),X0)|empty(X0))),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f2061,f103])).
% 5.46/1.14  fof(f2069,plain,(
% 5.46/1.14    spl0_121 <=> ~in(X0,sk0_2(sk0_5(powerset(empty_set))))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2070,plain,(
% 5.46/1.14    ![X0]: (~in(X0,sk0_2(sk0_5(powerset(empty_set))))|~spl0_121)),
% 5.46/1.14    inference(component_clause,[status(thm)],[f2069])).
% 5.46/1.14  fof(f2072,plain,(
% 5.46/1.14    ![X0]: (empty(powerset(empty_set))|~in(X0,sk0_2(sk0_5(powerset(empty_set)))))),
% 5.46/1.14    inference(resolution,[status(thm)],[f2062,f1211])).
% 5.46/1.14  fof(f2073,plain,(
% 5.46/1.14    spl0_60|spl0_121),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2072,f1231,f2069])).
% 5.46/1.14  fof(f2074,plain,(
% 5.46/1.14    spl0_122 <=> in(ordered_pair(sk0_2(sk0_5(sk0_12)),apply(sk0_11,sk0_2(sk0_5(sk0_12)))),sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2077,plain,(
% 5.46/1.14    empty(sk0_12)|in(ordered_pair(sk0_2(sk0_5(sk0_12)),apply(sk0_11,sk0_2(sk0_5(sk0_12)))),sk0_11)|~spl0_9),
% 5.46/1.14    inference(resolution,[status(thm)],[f2062,f214])).
% 5.46/1.14  fof(f2078,plain,(
% 5.46/1.14    spl0_7|spl0_122|~spl0_9),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2077,f199,f2074,f213])).
% 5.46/1.14  fof(f2079,plain,(
% 5.46/1.14    spl0_123 <=> apply(sk0_11,sk0_2(sk0_5(sk0_12)))=sk0_2(sk0_5(sk0_12))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2080,plain,(
% 5.46/1.14    apply(sk0_11,sk0_2(sk0_5(sk0_12)))=sk0_2(sk0_5(sk0_12))|~spl0_123),
% 5.46/1.14    inference(component_clause,[status(thm)],[f2079])).
% 5.46/1.14  fof(f2082,plain,(
% 5.46/1.14    empty(sk0_12)|apply(sk0_11,sk0_2(sk0_5(sk0_12)))=sk0_2(sk0_5(sk0_12))|~spl0_2),
% 5.46/1.14    inference(resolution,[status(thm)],[f2062,f168])).
% 5.46/1.14  fof(f2083,plain,(
% 5.46/1.14    spl0_7|spl0_123|~spl0_2),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2082,f199,f2079,f167])).
% 5.46/1.14  fof(f2089,plain,(
% 5.46/1.14    ![X0]: (empty(X0)|~in(X0,sk0_2(sk0_5(X0))))),
% 5.46/1.14    inference(resolution,[status(thm)],[f2062,f44])).
% 5.46/1.14  fof(f2090,plain,(
% 5.46/1.14    spl0_124 <=> in(sk0_2(sk0_5(sk0_12)),relation_dom(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2093,plain,(
% 5.46/1.14    spl0_125 <=> sk0_2(sk0_5(sk0_12))=empty_set),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2094,plain,(
% 5.46/1.14    sk0_2(sk0_5(sk0_12))=empty_set|~spl0_125),
% 5.46/1.14    inference(component_clause,[status(thm)],[f2093])).
% 5.46/1.14  fof(f2096,plain,(
% 5.46/1.14    ~relation(sk0_11)|~function(sk0_11)|in(sk0_2(sk0_5(sk0_12)),relation_dom(sk0_11))|sk0_2(sk0_5(sk0_12))=empty_set|~spl0_123),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f2080,f183])).
% 5.46/1.14  fof(f2097,plain,(
% 5.46/1.14    ~spl0_6|~spl0_8|spl0_124|spl0_125|~spl0_123),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2096,f196,f210,f2090,f2093,f2079])).
% 5.46/1.14  fof(f2112,plain,(
% 5.46/1.14    empty(sk0_2(sk0_5(powerset(empty_set))))|~spl0_121),
% 5.46/1.14    inference(resolution,[status(thm)],[f2070,f2062])).
% 5.46/1.14  fof(f2114,plain,(
% 5.46/1.14    spl0_126 <=> sk0_11=identity_relation(sk0_2(sk0_5(powerset(empty_set))))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2115,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_2(sk0_5(powerset(empty_set))))|~spl0_126),
% 5.46/1.14    inference(component_clause,[status(thm)],[f2114])).
% 5.46/1.14  fof(f2117,plain,(
% 5.46/1.14    spl0_127 <=> in(ordered_pair(ordered_pair(sk0_0(sk0_2(sk0_5(powerset(empty_set))),sk0_11),sk0_1(sk0_2(sk0_5(powerset(empty_set))),sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(sk0_2(sk0_5(powerset(empty_set))),sk0_11),sk0_1(sk0_2(sk0_5(powerset(empty_set))),sk0_11)))),identity_relation(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2120,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_2(sk0_5(powerset(empty_set))))|in(ordered_pair(ordered_pair(sk0_0(sk0_2(sk0_5(powerset(empty_set))),sk0_11),sk0_1(sk0_2(sk0_5(powerset(empty_set))),sk0_11)),apply(identity_relation(sk0_11),ordered_pair(sk0_0(sk0_2(sk0_5(powerset(empty_set))),sk0_11),sk0_1(sk0_2(sk0_5(powerset(empty_set))),sk0_11)))),identity_relation(sk0_11))|~spl0_121),
% 5.46/1.14    inference(resolution,[status(thm)],[f2070,f847])).
% 5.46/1.14  fof(f2121,plain,(
% 5.46/1.14    spl0_126|spl0_127|~spl0_121),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2120,f2114,f2117,f2069])).
% 5.46/1.14  fof(f2122,plain,(
% 5.46/1.14    spl0_128 <=> in(ordered_pair(ordered_pair(sk0_0(sk0_2(sk0_5(powerset(empty_set))),sk0_11),sk0_1(sk0_2(sk0_5(powerset(empty_set))),sk0_11)),ordered_pair(sk0_0(sk0_2(sk0_5(powerset(empty_set))),sk0_11),sk0_1(sk0_2(sk0_5(powerset(empty_set))),sk0_11))),identity_relation(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2125,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_2(sk0_5(powerset(empty_set))))|in(ordered_pair(ordered_pair(sk0_0(sk0_2(sk0_5(powerset(empty_set))),sk0_11),sk0_1(sk0_2(sk0_5(powerset(empty_set))),sk0_11)),ordered_pair(sk0_0(sk0_2(sk0_5(powerset(empty_set))),sk0_11),sk0_1(sk0_2(sk0_5(powerset(empty_set))),sk0_11))),identity_relation(sk0_11))|~spl0_121),
% 5.46/1.14    inference(resolution,[status(thm)],[f2070,f686])).
% 5.46/1.14  fof(f2126,plain,(
% 5.46/1.14    spl0_126|spl0_128|~spl0_121),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2125,f2114,f2122,f2069])).
% 5.46/1.14  fof(f2134,plain,(
% 5.46/1.14    sk0_2(sk0_5(powerset(empty_set)))=empty_set|~spl0_121),
% 5.46/1.14    inference(resolution,[status(thm)],[f2112,f144])).
% 5.46/1.14  fof(f2145,plain,(
% 5.46/1.14    spl0_129 <=> empty(sk0_5(powerset(empty_set)))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2146,plain,(
% 5.46/1.14    empty(sk0_5(powerset(empty_set)))|~spl0_129),
% 5.46/1.14    inference(component_clause,[status(thm)],[f2145])).
% 5.46/1.14  fof(f2148,plain,(
% 5.46/1.14    spl0_130 <=> in(sk0_5(powerset(empty_set)),empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2151,plain,(
% 5.46/1.14    empty(sk0_5(powerset(empty_set)))|~in(sk0_5(powerset(empty_set)),empty_set)|~spl0_121),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f2134,f1088])).
% 5.46/1.14  fof(f2152,plain,(
% 5.46/1.14    spl0_129|~spl0_130|~spl0_121),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2151,f2145,f2148,f2069])).
% 5.46/1.14  fof(f2153,plain,(
% 5.46/1.14    spl0_131 <=> in(empty_set,sk0_5(powerset(empty_set)))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2156,plain,(
% 5.46/1.14    empty(sk0_5(powerset(empty_set)))|in(empty_set,sk0_5(powerset(empty_set)))|~spl0_121),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f2134,f675])).
% 5.46/1.14  fof(f2157,plain,(
% 5.46/1.14    spl0_129|spl0_131|~spl0_121),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2156,f2145,f2153,f2069])).
% 5.46/1.14  fof(f2159,plain,(
% 5.46/1.14    empty(powerset(empty_set))|~spl0_129),
% 5.46/1.14    inference(resolution,[status(thm)],[f2146,f103])).
% 5.46/1.14  fof(f2160,plain,(
% 5.46/1.14    spl0_60|~spl0_129),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2159,f1231,f2145])).
% 5.46/1.14  fof(f2179,plain,(
% 5.46/1.14    sk0_11=identity_relation(empty_set)|~spl0_121|~spl0_126),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f2134,f2115])).
% 5.46/1.14  fof(f2180,plain,(
% 5.46/1.14    sk0_11=empty_set|~spl0_121|~spl0_126),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f642,f2179])).
% 5.46/1.14  fof(f2181,plain,(
% 5.46/1.14    $false|spl0_41|~spl0_121|~spl0_126),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f2180,f782])).
% 5.46/1.14  fof(f2182,plain,(
% 5.46/1.14    spl0_41|~spl0_121|~spl0_126),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f2181])).
% 5.46/1.14  fof(f2227,plain,(
% 5.46/1.14    spl0_136 <=> identity_relation(X0)=identity_relation(relation_dom(sk0_11))|in(ordered_pair(sk0_0(relation_dom(sk0_11),identity_relation(X0)),sk0_1(relation_dom(sk0_11),identity_relation(X0))),identity_relation(X0))|in(ordered_pair(sk0_0(relation_dom(sk0_11),identity_relation(X0)),apply(sk0_11,sk0_0(relation_dom(sk0_11),identity_relation(X0)))),sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2230,plain,(
% 5.46/1.14    ![X0]: (identity_relation(X0)=identity_relation(relation_dom(sk0_11))|in(ordered_pair(sk0_0(relation_dom(sk0_11),identity_relation(X0)),sk0_1(relation_dom(sk0_11),identity_relation(X0))),identity_relation(X0))|~relation(sk0_11)|in(ordered_pair(sk0_0(relation_dom(sk0_11),identity_relation(X0)),apply(sk0_11,sk0_0(relation_dom(sk0_11),identity_relation(X0)))),sk0_11))),
% 5.46/1.14    inference(resolution,[status(thm)],[f1007,f128])).
% 5.46/1.14  fof(f2231,plain,(
% 5.46/1.14    spl0_136|~spl0_6),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2230,f2227,f196])).
% 5.46/1.14  fof(f2232,plain,(
% 5.46/1.14    spl0_137 <=> identity_relation(X0)=identity_relation(relation_dom(empty_set))|in(ordered_pair(sk0_0(relation_dom(empty_set),identity_relation(X0)),sk0_1(relation_dom(empty_set),identity_relation(X0))),identity_relation(X0))|in(ordered_pair(sk0_0(relation_dom(empty_set),identity_relation(X0)),apply(empty_set,sk0_0(relation_dom(empty_set),identity_relation(X0)))),empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2235,plain,(
% 5.46/1.14    ![X0]: (identity_relation(X0)=identity_relation(relation_dom(empty_set))|in(ordered_pair(sk0_0(relation_dom(empty_set),identity_relation(X0)),sk0_1(relation_dom(empty_set),identity_relation(X0))),identity_relation(X0))|~relation(empty_set)|in(ordered_pair(sk0_0(relation_dom(empty_set),identity_relation(X0)),apply(empty_set,sk0_0(relation_dom(empty_set),identity_relation(X0)))),empty_set)|~spl0_33)),
% 5.46/1.14    inference(resolution,[status(thm)],[f1007,f630])).
% 5.46/1.14  fof(f2236,plain,(
% 5.46/1.14    spl0_137|~spl0_32|~spl0_33),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2235,f2232,f607,f629])).
% 5.46/1.14  fof(f2237,plain,(
% 5.46/1.14    spl0_138 <=> identity_relation(X0)=identity_relation(relation_dom(sk0_3))|in(ordered_pair(sk0_0(relation_dom(sk0_3),identity_relation(X0)),sk0_1(relation_dom(sk0_3),identity_relation(X0))),identity_relation(X0))|in(ordered_pair(sk0_0(relation_dom(sk0_3),identity_relation(X0)),apply(sk0_3,sk0_0(relation_dom(sk0_3),identity_relation(X0)))),sk0_3)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2240,plain,(
% 5.46/1.14    ![X0]: (identity_relation(X0)=identity_relation(relation_dom(sk0_3))|in(ordered_pair(sk0_0(relation_dom(sk0_3),identity_relation(X0)),sk0_1(relation_dom(sk0_3),identity_relation(X0))),identity_relation(X0))|~relation(sk0_3)|in(ordered_pair(sk0_0(relation_dom(sk0_3),identity_relation(X0)),apply(sk0_3,sk0_0(relation_dom(sk0_3),identity_relation(X0)))),sk0_3))),
% 5.46/1.14    inference(resolution,[status(thm)],[f1007,f96])).
% 5.46/1.14  fof(f2241,plain,(
% 5.46/1.14    spl0_138|~spl0_72),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2240,f2237,f1304])).
% 5.46/1.14  fof(f2322,plain,(
% 5.46/1.14    spl0_139 <=> identity_relation(X0)=identity_relation(sk0_12)|in(ordered_pair(sk0_0(sk0_12,identity_relation(X0)),sk0_1(sk0_12,identity_relation(X0))),identity_relation(X0))|in(sk0_0(sk0_12,identity_relation(X0)),relation_dom(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2325,plain,(
% 5.46/1.14    ![X0]: (identity_relation(X0)=identity_relation(sk0_12)|in(ordered_pair(sk0_0(sk0_12,identity_relation(X0)),sk0_1(sk0_12,identity_relation(X0))),identity_relation(X0))|~relation(sk0_11)|~function(sk0_11)|in(sk0_0(sk0_12,identity_relation(X0)),relation_dom(sk0_11))|~spl0_9)),
% 5.46/1.14    inference(resolution,[status(thm)],[f1026,f157])).
% 5.46/1.14  fof(f2326,plain,(
% 5.46/1.14    spl0_139|~spl0_6|~spl0_8|~spl0_9),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2325,f2322,f196,f210,f213])).
% 5.46/1.14  fof(f2327,plain,(
% 5.46/1.14    spl0_140 <=> identity_relation(X0)=identity_relation(sk0_12)|in(ordered_pair(sk0_0(sk0_12,identity_relation(X0)),sk0_1(sk0_12,identity_relation(X0))),identity_relation(X0))|apply(sk0_11,sk0_0(sk0_12,identity_relation(X0)))=apply(sk0_11,sk0_0(sk0_12,identity_relation(X0)))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2330,plain,(
% 5.46/1.14    ![X0]: (identity_relation(X0)=identity_relation(sk0_12)|in(ordered_pair(sk0_0(sk0_12,identity_relation(X0)),sk0_1(sk0_12,identity_relation(X0))),identity_relation(X0))|~relation(sk0_11)|~function(sk0_11)|apply(sk0_11,sk0_0(sk0_12,identity_relation(X0)))=apply(sk0_11,sk0_0(sk0_12,identity_relation(X0)))|~spl0_9)),
% 5.46/1.14    inference(resolution,[status(thm)],[f1026,f158])).
% 5.46/1.14  fof(f2331,plain,(
% 5.46/1.14    spl0_140|~spl0_6|~spl0_8|~spl0_9),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2330,f2327,f196,f210,f213])).
% 5.46/1.14  fof(f2335,plain,(
% 5.46/1.14    spl0_141 <=> in(ordered_pair(sk0_0(sk0_12,empty_set),apply(sk0_11,sk0_0(sk0_12,identity_relation(empty_set)))),sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2338,plain,(
% 5.46/1.14    spl0_142 <=> identity_relation(empty_set)=identity_relation(sk0_12)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2339,plain,(
% 5.46/1.14    identity_relation(empty_set)=identity_relation(sk0_12)|~spl0_142),
% 5.46/1.14    inference(component_clause,[status(thm)],[f2338])).
% 5.46/1.14  fof(f2341,plain,(
% 5.46/1.14    spl0_143 <=> in(ordered_pair(sk0_0(sk0_12,identity_relation(empty_set)),sk0_1(sk0_12,identity_relation(empty_set))),identity_relation(empty_set))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2342,plain,(
% 5.46/1.14    in(ordered_pair(sk0_0(sk0_12,identity_relation(empty_set)),sk0_1(sk0_12,identity_relation(empty_set))),identity_relation(empty_set))|~spl0_143),
% 5.46/1.14    inference(component_clause,[status(thm)],[f2341])).
% 5.46/1.14  fof(f2344,plain,(
% 5.46/1.14    in(ordered_pair(sk0_0(sk0_12,empty_set),apply(sk0_11,sk0_0(sk0_12,identity_relation(empty_set)))),sk0_11)|identity_relation(empty_set)=identity_relation(sk0_12)|in(ordered_pair(sk0_0(sk0_12,identity_relation(empty_set)),sk0_1(sk0_12,identity_relation(empty_set))),identity_relation(empty_set))|~spl0_9),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f642,f1026])).
% 5.46/1.14  fof(f2345,plain,(
% 5.46/1.14    spl0_141|spl0_142|spl0_143|~spl0_9),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2344,f2335,f2338,f2341,f213])).
% 5.46/1.14  fof(f2346,plain,(
% 5.46/1.14    spl0_144 <=> in(ordered_pair(sk0_0(sk0_12,identity_relation(empty_set)),apply(sk0_11,sk0_0(sk0_12,empty_set))),sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2349,plain,(
% 5.46/1.14    in(ordered_pair(sk0_0(sk0_12,identity_relation(empty_set)),apply(sk0_11,sk0_0(sk0_12,empty_set))),sk0_11)|identity_relation(empty_set)=identity_relation(sk0_12)|in(ordered_pair(sk0_0(sk0_12,identity_relation(empty_set)),sk0_1(sk0_12,identity_relation(empty_set))),identity_relation(empty_set))|~spl0_9),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f642,f1026])).
% 5.46/1.14  fof(f2350,plain,(
% 5.46/1.14    spl0_144|spl0_142|spl0_143|~spl0_9),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2349,f2346,f2338,f2341,f213])).
% 5.46/1.14  fof(f2351,plain,(
% 5.46/1.14    in(ordered_pair(sk0_0(sk0_12,empty_set),sk0_1(sk0_12,identity_relation(empty_set))),identity_relation(empty_set))|~spl0_143),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f642,f2342])).
% 5.46/1.14  fof(f2352,plain,(
% 5.46/1.14    in(ordered_pair(empty_set,sk0_1(sk0_12,identity_relation(empty_set))),identity_relation(empty_set))|~spl0_77|~spl0_143),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f1376,f2351])).
% 5.46/1.14  fof(f2353,plain,(
% 5.46/1.14    in(ordered_pair(empty_set,sk0_1(sk0_12,empty_set)),identity_relation(empty_set))|~spl0_77|~spl0_143),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f642,f2352])).
% 5.46/1.14  fof(f2354,plain,(
% 5.46/1.14    in(ordered_pair(empty_set,sk0_1(sk0_12,empty_set)),empty_set)|~spl0_77|~spl0_143),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f642,f2353])).
% 5.46/1.14  fof(f2355,plain,(
% 5.46/1.14    $false|~spl0_77|~spl0_143),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f2354,f590])).
% 5.46/1.14  fof(f2356,plain,(
% 5.46/1.14    ~spl0_77|~spl0_143),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f2355])).
% 5.46/1.14  fof(f2358,plain,(
% 5.46/1.14    empty_set=identity_relation(sk0_12)|~spl0_142),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f642,f2339])).
% 5.46/1.14  fof(f2359,plain,(
% 5.46/1.14    $false|spl0_46|~spl0_142),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f2358,f805])).
% 5.46/1.14  fof(f2360,plain,(
% 5.46/1.14    spl0_46|~spl0_142),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f2359])).
% 5.46/1.14  fof(f2378,plain,(
% 5.46/1.14    spl0_145 <=> empty(relation_dom(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2379,plain,(
% 5.46/1.14    empty(relation_dom(sk0_11))|~spl0_145),
% 5.46/1.14    inference(component_clause,[status(thm)],[f2378])).
% 5.46/1.14  fof(f2381,plain,(
% 5.46/1.14    spl0_146 <=> in(ordered_pair(sk0_2(relation_dom(sk0_11)),apply(sk0_11,sk0_2(relation_dom(sk0_11)))),sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2384,plain,(
% 5.46/1.14    empty(relation_dom(sk0_11))|~relation(sk0_11)|in(ordered_pair(sk0_2(relation_dom(sk0_11)),apply(sk0_11,sk0_2(relation_dom(sk0_11)))),sk0_11)),
% 5.46/1.14    inference(resolution,[status(thm)],[f1085,f128])).
% 5.46/1.14  fof(f2385,plain,(
% 5.46/1.14    spl0_145|~spl0_6|spl0_146),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2384,f2378,f196,f2381])).
% 5.46/1.14  fof(f2408,plain,(
% 5.46/1.14    empty(sk0_12)|~spl0_1|~spl0_145),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f164,f2379])).
% 5.46/1.14  fof(f2409,plain,(
% 5.46/1.14    $false|spl0_7|~spl0_1|~spl0_145),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f2408,f201])).
% 5.46/1.14  fof(f2410,plain,(
% 5.46/1.14    spl0_7|~spl0_1|~spl0_145),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f2409])).
% 5.46/1.14  fof(f2424,plain,(
% 5.46/1.14    spl0_151 <=> in(ordered_pair(empty_set,sk0_2(sk0_5(powerset(empty_set)))),identity_relation(sk0_5(powerset(empty_set))))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2427,plain,(
% 5.46/1.14    empty(sk0_5(powerset(empty_set)))|in(ordered_pair(empty_set,sk0_2(sk0_5(powerset(empty_set)))),identity_relation(sk0_5(powerset(empty_set))))|~spl0_121),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f2134,f1086])).
% 5.46/1.14  fof(f2428,plain,(
% 5.46/1.14    spl0_129|spl0_151|~spl0_121),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2427,f2145,f2424,f2069])).
% 5.46/1.14  fof(f2429,plain,(
% 5.46/1.14    spl0_152 <=> in(ordered_pair(empty_set,sk0_2(powerset(empty_set))),identity_relation(powerset(empty_set)))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2432,plain,(
% 5.46/1.14    empty(powerset(empty_set))|in(ordered_pair(empty_set,sk0_2(powerset(empty_set))),identity_relation(powerset(empty_set)))),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1222,f1086])).
% 5.46/1.14  fof(f2433,plain,(
% 5.46/1.14    spl0_60|spl0_152),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2432,f1231,f2429])).
% 5.46/1.14  fof(f2434,plain,(
% 5.46/1.14    spl0_153 <=> in(ordered_pair(empty_set,sk0_2(sk0_12)),identity_relation(sk0_12))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2437,plain,(
% 5.46/1.14    empty(sk0_12)|in(ordered_pair(empty_set,sk0_2(sk0_12)),identity_relation(sk0_12))|~spl0_58),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1134,f1086])).
% 5.46/1.14  fof(f2438,plain,(
% 5.46/1.14    spl0_7|spl0_153|~spl0_58),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2437,f199,f2434,f1133])).
% 5.46/1.14  fof(f2439,plain,(
% 5.46/1.14    spl0_154 <=> in(ordered_pair(sk0_2(sk0_5(powerset(empty_set))),empty_set),identity_relation(sk0_5(powerset(empty_set))))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2442,plain,(
% 5.46/1.14    empty(sk0_5(powerset(empty_set)))|in(ordered_pair(sk0_2(sk0_5(powerset(empty_set))),empty_set),identity_relation(sk0_5(powerset(empty_set))))|~spl0_121),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f2134,f1086])).
% 5.46/1.14  fof(f2443,plain,(
% 5.46/1.14    spl0_129|spl0_154|~spl0_121),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2442,f2145,f2439,f2069])).
% 5.46/1.14  fof(f2444,plain,(
% 5.46/1.14    spl0_155 <=> in(ordered_pair(sk0_2(powerset(empty_set)),empty_set),identity_relation(powerset(empty_set)))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2447,plain,(
% 5.46/1.14    empty(powerset(empty_set))|in(ordered_pair(sk0_2(powerset(empty_set)),empty_set),identity_relation(powerset(empty_set)))),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1222,f1086])).
% 5.46/1.14  fof(f2448,plain,(
% 5.46/1.14    spl0_60|spl0_155),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2447,f1231,f2444])).
% 5.46/1.14  fof(f2449,plain,(
% 5.46/1.14    spl0_156 <=> in(ordered_pair(sk0_2(sk0_12),empty_set),identity_relation(sk0_12))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2452,plain,(
% 5.46/1.14    empty(sk0_12)|in(ordered_pair(sk0_2(sk0_12),empty_set),identity_relation(sk0_12))|~spl0_58),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1134,f1086])).
% 5.46/1.14  fof(f2453,plain,(
% 5.46/1.14    spl0_7|spl0_156|~spl0_58),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2452,f199,f2449,f1133])).
% 5.46/1.14  fof(f2463,plain,(
% 5.46/1.14    spl0_158 <=> in(sk0_0(empty_set,sk0_11),relation_dom(sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2464,plain,(
% 5.46/1.14    in(sk0_0(empty_set,sk0_11),relation_dom(sk0_11))|~spl0_158),
% 5.46/1.14    inference(component_clause,[status(thm)],[f2463])).
% 5.46/1.14  fof(f2466,plain,(
% 5.46/1.14    spl0_159 <=> sk0_1(empty_set,sk0_11)=empty_set),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2469,plain,(
% 5.46/1.14    ~relation(sk0_11)|~function(sk0_11)|in(sk0_0(empty_set,sk0_11),relation_dom(sk0_11))|sk0_1(empty_set,sk0_11)=empty_set|~spl0_89),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f1482,f183])).
% 5.46/1.14  fof(f2470,plain,(
% 5.46/1.14    ~spl0_6|~spl0_8|spl0_158|spl0_159|~spl0_89),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2469,f196,f210,f2463,f2466,f1481])).
% 5.46/1.14  fof(f2471,plain,(
% 5.46/1.14    in(sk0_0(empty_set,sk0_11),sk0_12)|~spl0_1|~spl0_158),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f164,f2464])).
% 5.46/1.14  fof(f2474,plain,(
% 5.46/1.14    apply(sk0_11,sk0_0(empty_set,sk0_11))=sk0_0(empty_set,sk0_11)|~spl0_1|~spl0_158|~spl0_2),
% 5.46/1.14    inference(resolution,[status(thm)],[f2471,f168])).
% 5.46/1.14  fof(f2475,plain,(
% 5.46/1.14    sk0_1(empty_set,sk0_11)=sk0_0(empty_set,sk0_11)|~spl0_89|~spl0_1|~spl0_158|~spl0_2),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f1482,f2474])).
% 5.46/1.14  fof(f2480,plain,(
% 5.46/1.14    spl0_160 <=> in(sk0_0(empty_set,sk0_11),empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2481,plain,(
% 5.46/1.14    in(sk0_0(empty_set,sk0_11),empty_set)|~spl0_160),
% 5.46/1.14    inference(component_clause,[status(thm)],[f2480])).
% 5.46/1.14  fof(f2483,plain,(
% 5.46/1.14    spl0_161 <=> in(sk0_11,ordered_pair(sk0_0(empty_set,sk0_11),sk0_0(empty_set,sk0_11)))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2486,plain,(
% 5.46/1.14    sk0_11=identity_relation(empty_set)|in(sk0_0(empty_set,sk0_11),empty_set)|~in(sk0_11,ordered_pair(sk0_0(empty_set,sk0_11),sk0_0(empty_set,sk0_11)))|~spl0_89|~spl0_1|~spl0_158|~spl0_2),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f2475,f848])).
% 5.46/1.14  fof(f2487,plain,(
% 5.46/1.14    spl0_41|spl0_160|~spl0_161|~spl0_89|~spl0_1|~spl0_158|~spl0_2),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2486,f722,f2480,f2483,f1481,f163,f2463,f167])).
% 5.46/1.14  fof(f2488,plain,(
% 5.46/1.14    spl0_162 <=> in(ordered_pair(sk0_0(empty_set,sk0_11),sk0_0(empty_set,sk0_11)),sk0_11)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2491,plain,(
% 5.46/1.14    sk0_11=identity_relation(empty_set)|in(ordered_pair(sk0_0(empty_set,sk0_11),sk0_0(empty_set,sk0_11)),sk0_11)|in(sk0_0(empty_set,sk0_11),empty_set)|~spl0_89|~spl0_1|~spl0_158|~spl0_2),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f2475,f821])).
% 5.46/1.14  fof(f2492,plain,(
% 5.46/1.14    spl0_41|spl0_162|spl0_160|~spl0_89|~spl0_1|~spl0_158|~spl0_2),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2491,f722,f2488,f2480,f1481,f163,f2463,f167])).
% 5.46/1.14  fof(f2501,plain,(
% 5.46/1.14    $false|~spl0_160),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f2481,f590])).
% 5.46/1.14  fof(f2502,plain,(
% 5.46/1.14    ~spl0_160),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f2501])).
% 5.46/1.14  fof(f2511,plain,(
% 5.46/1.14    ~in(ordered_pair(sk0_0(sk0_12,sk0_11),sk0_0(sk0_12,sk0_11)),sk0_11)|~spl0_39|spl0_38),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f697,f695])).
% 5.46/1.14  fof(f2519,plain,(
% 5.46/1.14    spl0_166 <=> sk0_1(powerset(empty_set),sk0_11)=apply(sk0_11,sk0_0(powerset(empty_set),sk0_11))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2522,plain,(
% 5.46/1.14    ![X0]: (sk0_11=identity_relation(powerset(empty_set))|sk0_1(powerset(empty_set),sk0_11)=apply(sk0_11,sk0_0(powerset(empty_set),sk0_11))|~in(X0,sk0_0(powerset(empty_set),sk0_11))|~spl0_36)),
% 5.46/1.14    inference(resolution,[status(thm)],[f682,f1211])).
% 5.46/1.14  fof(f2523,plain,(
% 5.46/1.14    spl0_98|spl0_166|spl0_97|~spl0_36),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2522,f1818,f2519,f1815,f681])).
% 5.46/1.14  fof(f2535,plain,(
% 5.46/1.14    $false|~spl0_39|spl0_38|~spl0_2|~spl0_37|~spl0_9),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f884,f2511])).
% 5.46/1.14  fof(f2536,plain,(
% 5.46/1.14    ~spl0_39|spl0_38|~spl0_2|~spl0_37|~spl0_9),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f2535])).
% 5.46/1.14  fof(f2537,plain,(
% 5.46/1.14    $false|~spl0_39|spl0_38|~spl0_51),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f870,f2511])).
% 5.46/1.14  fof(f2538,plain,(
% 5.46/1.14    ~spl0_39|spl0_38|~spl0_51),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f2537])).
% 5.46/1.14  fof(f2543,plain,(
% 5.46/1.14    empty(sk0_12)|~in(sk0_12,empty_set)|~spl0_125),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f2094,f2089])).
% 5.46/1.14  fof(f2544,plain,(
% 5.46/1.14    spl0_7|~spl0_91|~spl0_125),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2543,f199,f1566,f2093])).
% 5.46/1.14  fof(f2545,plain,(
% 5.46/1.14    in(empty_set,sk0_12)|empty(sk0_12)|~spl0_125),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f2094,f2062])).
% 5.46/1.14  fof(f2546,plain,(
% 5.46/1.14    spl0_82|spl0_7|~spl0_125),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2545,f1422,f199,f2093])).
% 5.46/1.14  fof(f2547,plain,(
% 5.46/1.14    spl0_167 <=> empty(sk0_5(sk0_12))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2550,plain,(
% 5.46/1.14    spl0_168 <=> in(ordered_pair(sk0_2(sk0_5(sk0_12)),empty_set),identity_relation(sk0_5(sk0_12)))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2553,plain,(
% 5.46/1.14    empty(sk0_5(sk0_12))|in(ordered_pair(sk0_2(sk0_5(sk0_12)),empty_set),identity_relation(sk0_5(sk0_12)))|~spl0_125),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f2094,f1086])).
% 5.46/1.14  fof(f2554,plain,(
% 5.46/1.14    spl0_167|spl0_168|~spl0_125),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2553,f2547,f2550,f2093])).
% 5.46/1.14  fof(f2555,plain,(
% 5.46/1.14    spl0_169 <=> in(ordered_pair(empty_set,sk0_2(sk0_5(sk0_12))),identity_relation(sk0_5(sk0_12)))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2558,plain,(
% 5.46/1.14    empty(sk0_5(sk0_12))|in(ordered_pair(empty_set,sk0_2(sk0_5(sk0_12))),identity_relation(sk0_5(sk0_12)))|~spl0_125),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f2094,f1086])).
% 5.46/1.14  fof(f2559,plain,(
% 5.46/1.14    spl0_167|spl0_169|~spl0_125),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2558,f2547,f2555,f2093])).
% 5.46/1.14  fof(f2560,plain,(
% 5.46/1.14    spl0_170 <=> in(sk0_5(sk0_12),empty_set)),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2563,plain,(
% 5.46/1.14    empty(sk0_5(sk0_12))|~in(sk0_5(sk0_12),empty_set)|~spl0_125),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f2094,f1088])).
% 5.46/1.14  fof(f2564,plain,(
% 5.46/1.14    spl0_167|~spl0_170|~spl0_125),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2563,f2547,f2560,f2093])).
% 5.46/1.14  fof(f2565,plain,(
% 5.46/1.14    spl0_171 <=> in(empty_set,sk0_5(sk0_12))),
% 5.46/1.14    introduced(split_symbol_definition)).
% 5.46/1.14  fof(f2568,plain,(
% 5.46/1.14    empty(sk0_5(sk0_12))|in(empty_set,sk0_5(sk0_12))|~spl0_125),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f2094,f675])).
% 5.46/1.14  fof(f2569,plain,(
% 5.46/1.14    spl0_167|spl0_171|~spl0_125),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2568,f2547,f2565,f2093])).
% 5.46/1.14  fof(f2571,plain,(
% 5.46/1.14    $false|~spl0_1|~spl0_85|spl0_82),
% 5.46/1.14    inference(forward_subsumption_resolution,[status(thm)],[f1424,f1495])).
% 5.46/1.14  fof(f2572,plain,(
% 5.46/1.14    ~spl0_1|~spl0_85|spl0_82),
% 5.46/1.14    inference(contradiction_clause,[status(thm)],[f2571])).
% 5.46/1.14  fof(f2573,plain,(
% 5.46/1.14    in(empty_set,sk0_12)|~spl0_94),
% 5.46/1.14    inference(forward_demodulation,[status(thm)],[f146,f1648])).
% 5.46/1.14  fof(f2574,plain,(
% 5.46/1.14    spl0_82|~spl0_94),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2573,f1422,f1647])).
% 5.46/1.14  fof(f2577,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_12)|in(empty_set,sk0_12)|sk0_1(sk0_12,sk0_11)=apply(sk0_11,sk0_0(sk0_12,sk0_11))|~spl0_36|~spl0_49),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f828,f682])).
% 5.46/1.14  fof(f2578,plain,(
% 5.46/1.14    spl0_0|spl0_82|spl0_50|~spl0_36|~spl0_49),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2577,f160,f1422,f853,f681,f827])).
% 5.46/1.14  fof(f2586,plain,(
% 5.46/1.14    sk0_11=identity_relation(sk0_12)|in(sk0_0(sk0_12,sk0_11),sk0_12)|in(empty_set,sk0_12)|~spl0_1|~spl0_35|~spl0_49),
% 5.46/1.14    inference(paramodulation,[status(thm)],[f828,f689])).
% 5.46/1.14  fof(f2587,plain,(
% 5.46/1.14    spl0_0|spl0_37|spl0_82|~spl0_1|~spl0_35|~spl0_49),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2586,f160,f690,f1422,f163,f676,f827])).
% 5.46/1.14  fof(f2597,plain,(
% 5.46/1.14    sk0_13=apply(sk0_11,sk0_13)|~spl0_0|~spl0_92),
% 5.46/1.14    inference(backward_demodulation,[status(thm)],[f161,f1594])).
% 5.46/1.14  fof(f2598,plain,(
% 5.46/1.14    spl0_4|~spl0_0|~spl0_92),
% 5.46/1.14    inference(split_clause,[status(thm)],[f2597,f175,f160,f1593])).
% 5.46/1.14  fof(f2602,plain,(
% 5.46/1.14    $false),
% 5.46/1.14    inference(sat_refutation,[status(thm)],[f166,f170,f174,f178,f188,f192,f203,f217,f221,f223,f255,f260,f264,f266,f277,f282,f293,f308,f312,f315,f317,f336,f342,f362,f368,f394,f400,f432,f438,f470,f476,f611,f621,f636,f641,f680,f685,f707,f709,f721,f729,f737,f742,f781,f831,f852,f857,f863,f866,f868,f873,f890,f892,f946,f1033,f1038,f1043,f1072,f1126,f1137,f1238,f1243,f1246,f1300,f1311,f1316,f1321,f1323,f1347,f1379,f1385,f1396,f1401,f1403,f1410,f1419,f1450,f1452,f1466,f1476,f1485,f1491,f1555,f1570,f1572,f1579,f1597,f1602,f1606,f1611,f1651,f1656,f1661,f1683,f1813,f1825,f1830,f1838,f1856,f1906,f1911,f1947,f1952,f1959,f1992,f2027,f2073,f2078,f2083,f2097,f2121,f2126,f2152,f2157,f2160,f2182,f2231,f2236,f2241,f2326,f2331,f2345,f2350,f2356,f2360,f2385,f2410,f2428,f2433,f2438,f2443,f2448,f2453,f2470,f2487,f2492,f2502,f2523,f2536,f2538,f2544,f2546,f2554,f2559,f2564,f2569,f2572,f2574,f2578,f2587,f2598])).
% 5.46/1.14  % SZS output end CNFRefutation for theBenchmark.p
% 6.12/1.19  % Elapsed time: 0.861540 seconds
% 6.12/1.19  % CPU time: 6.192149 seconds
% 6.12/1.19  % Memory used: 114.081 MB
%------------------------------------------------------------------------------