%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU203+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:36:14 EDT 2023

% Result   : Theorem 0.20s 0.57s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU203+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 09:45:45 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.20/0.57  % Refutation found
% 0.20/0.57  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.57  % SZS output start CNFRefutation for theBenchmark
% 0.20/0.57  fof(f3,axiom,(
% 0.20/0.57    (! [A] :( empty(A)=> relation(A) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f5,axiom,(
% 0.20/0.57    (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f6,axiom,(
% 0.20/0.57    (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f7,axiom,(
% 0.20/0.57    (! [A,B] :( relation(B)=> ( B = identity_relation(A)<=> (! [C,D] :( in(ordered_pair(C,D),B)<=> ( in(C,A)& C = D ) ) )) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f8,axiom,(
% 0.20/0.57    (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f11,axiom,(
% 0.20/0.57    (! [A] :( relation(A)=> (! [B,C] :( C = relation_image(A,B)<=> (! [D] :( in(D,C)<=> (? [E] :( in(ordered_pair(E,D),A)& in(E,B) ) )) )) )) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f12,axiom,(
% 0.20/0.57    (! [A] :( relation(A)<=> (! [B] :~ ( in(B,A)& (! [C,D] : B != ordered_pair(C,D) )) )) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f13,axiom,(
% 0.20/0.57    (! [A,B] :( ( A != empty_set=> ( B = set_meet(A)<=> (! [C] :( in(C,B)<=> (! [D] :( in(D,A)=> in(C,D) ) )) )) )& ( A = empty_set=> ( B = set_meet(A)<=> B = empty_set ) ) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f25,axiom,(
% 0.20/0.57    (! [A] :( relation(A)=> (! [B] :( B = relation_dom(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(C,D),A) )) )) )) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f52,axiom,(
% 0.20/0.57    (! [A] :( relation(A)=> relation(relation_inverse(A)) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f57,axiom,(
% 0.20/0.57    (! [A] : relation(identity_relation(A)) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f60,axiom,(
% 0.20/0.57    (! [A,B] :( relation(A)=> relation(relation_dom_restriction(A,B)) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f78,axiom,(
% 0.20/0.57    (! [A] :( ( ~ empty(A)& relation(A) )=> ~ empty(relation_dom(A)) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f80,axiom,(
% 0.20/0.57    (! [A] :( empty(A)=> ( empty(relation_dom(A))& relation(relation_dom(A)) ) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f81,axiom,(
% 0.20/0.57    (! [A] :( empty(A)=> ( empty(relation_rng(A))& relation(relation_rng(A)) ) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f94,lemma,(
% 0.20/0.57    (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f97,lemma,(
% 0.20/0.57    (! [A,B] :( subset(A,singleton(B))<=> ( A = empty_set| A = singleton(B) ) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f101,axiom,(
% 0.20/0.57    (? [A] :( empty(A)& relation(A) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f103,axiom,(
% 0.20/0.57    (? [A] : empty(A) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f116,lemma,(
% 0.20/0.57    (! [A,B] :( relation(B)=> subset(relation_rng_restriction(A,B),B) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f121,lemma,(
% 0.20/0.57    (! [A,B] :( subset(A,B)=> set_union2(A,B) = B ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f124,conjecture,(
% 0.20/0.57    (! [A,B,C] :( relation(C)=> ( in(A,relation_image(C,B))<=> (? [D] :( in(D,relation_dom(C))& in(ordered_pair(D,A),C)& in(D,B) ) )) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f125,negated_conjecture,(
% 0.20/0.57    ~((! [A,B,C] :( relation(C)=> ( in(A,relation_image(C,B))<=> (? [D] :( in(D,relation_dom(C))& in(ordered_pair(D,A),C)& in(D,B) ) )) ) ))),
% 0.20/0.57    inference(negated_conjecture,[status(cth)],[f124])).
% 0.20/0.57  fof(f126,lemma,(
% 0.20/0.57    (! [A,B] : subset(set_intersection2(A,B),A) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f134,lemma,(
% 0.20/0.57    (! [A] :( relation(A)=> (! [B] :( relation(B)=> ( subset(A,B)=> ( subset(relation_dom(A),relation_dom(B))& subset(relation_rng(A),relation_rng(B)) ) ) ) )) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f136,lemma,(
% 0.20/0.57    (! [A,B] :( subset(A,B)=> set_intersection2(A,B) = A ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f144,lemma,(
% 0.20/0.57    (! [A,B] : subset(set_difference(A,B),A) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f145,lemma,(
% 0.20/0.57    (! [A] :( relation(A)=> ( relation_rng(A) = relation_dom(relation_inverse(A))& relation_dom(A) = relation_rng(relation_inverse(A)) ) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f174,lemma,(
% 0.20/0.57    ( relation_dom(empty_set) = empty_set& relation_rng(empty_set) = empty_set ) ),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f177,lemma,(
% 0.20/0.57    (! [A] :( relation(A)=> ( ( relation_dom(A) = empty_set| relation_rng(A) = empty_set )=> A = empty_set ) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f178,lemma,(
% 0.20/0.57    (! [A] :( relation(A)=> ( relation_dom(A) = empty_set<=> relation_rng(A) = empty_set ) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f181,axiom,(
% 0.20/0.57    (! [A] :( empty(A)=> A = empty_set ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f185,axiom,(
% 0.20/0.57    (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f186,lemma,(
% 0.20/0.57    (! [A,B] : subset(A,set_union2(A,B)) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f189,lemma,(
% 0.20/0.57    (! [A,B] :( relation(B)=> subset(relation_dom_restriction(B,A),B) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f190,axiom,(
% 0.20/0.57    (! [A,B] :~ ( empty(A)& A != B& empty(B) ) )),
% 0.20/0.57    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.57  fof(f204,plain,(
% 0.20/0.57    ![A]: (~empty(A)|relation(A))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.20/0.57  fof(f205,plain,(
% 0.20/0.57    ![X0]: (~empty(X0)|relation(X0))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f204])).
% 0.20/0.57  fof(f207,plain,(
% 0.20/0.57    ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.57  fof(f208,plain,(
% 0.20/0.57    ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.57  fof(f209,plain,(
% 0.20/0.57    ![A,B]: (~relation(B)|(B=identity_relation(A)<=>(![C,D]: (in(ordered_pair(C,D),B)<=>(in(C,A)&C=D)))))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.20/0.57  fof(f210,plain,(
% 0.20/0.57    ![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)))))))),
% 0.20/0.57    inference(NNF_transformation,[status(esa)],[f209])).
% 0.20/0.57  fof(f211,plain,(
% 0.20/0.57    ![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))))))))),
% 0.20/0.57    inference(miniscoping,[status(esa)],[f210])).
% 0.20/0.57  fof(f212,plain,(
% 0.20/0.57    ![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))))))))),
% 0.20/0.57    inference(skolemization,[status(esa)],[f211])).
% 0.20/0.57  fof(f216,plain,(
% 0.20/0.57    ![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))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f212])).
% 0.20/0.57  fof(f217,plain,(
% 0.20/0.57    ![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))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f212])).
% 0.20/0.57  fof(f218,plain,(
% 0.20/0.57    ![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))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f212])).
% 0.20/0.57  fof(f219,plain,(
% 0.20/0.57    ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.20/0.57    inference(NNF_transformation,[status(esa)],[f8])).
% 0.20/0.57  fof(f220,plain,(
% 0.20/0.57    (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.20/0.57    inference(miniscoping,[status(esa)],[f219])).
% 0.20/0.57  fof(f221,plain,(
% 0.20/0.57    ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f220])).
% 0.20/0.57  fof(f244,plain,(
% 0.20/0.57    ![A]: (~relation(A)|(![B,C]: (C=relation_image(A,B)<=>(![D]: (in(D,C)<=>(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.20/0.57  fof(f245,plain,(
% 0.20/0.57    ![A]: (~relation(A)|(![B,C]: ((~C=relation_image(A,B)|(![D]: ((~in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))&(in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B)))))))&(C=relation_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))))),
% 0.20/0.57    inference(NNF_transformation,[status(esa)],[f244])).
% 0.20/0.57  fof(f246,plain,(
% 0.20/0.57    ![A]: (~relation(A)|((![B,C]: (~C=relation_image(A,B)|((![D]: (~in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B)))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))))))&(![B,C]: (C=relation_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))))),
% 0.20/0.57    inference(miniscoping,[status(esa)],[f245])).
% 0.20/0.57  fof(f247,plain,(
% 0.20/0.57    ![A]: (~relation(A)|((![B,C]: (~C=relation_image(A,B)|((![D]: (~in(D,C)|(in(ordered_pair(sk0_6(D,C,B,A),D),A)&in(sk0_6(D,C,B,A),B))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))))))&(![B,C]: (C=relation_image(A,B)|((~in(sk0_7(C,B,A),C)|(![E]: (~in(ordered_pair(E,sk0_7(C,B,A)),A)|~in(E,B))))&(in(sk0_7(C,B,A),C)|(in(ordered_pair(sk0_8(C,B,A),sk0_7(C,B,A)),A)&in(sk0_8(C,B,A),B))))))))),
% 0.20/0.57    inference(skolemization,[status(esa)],[f246])).
% 0.20/0.57  fof(f248,plain,(
% 0.20/0.57    ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_image(X0,X2)|~in(X3,X1)|in(ordered_pair(sk0_6(X3,X1,X2,X0),X3),X0))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f247])).
% 0.20/0.57  fof(f249,plain,(
% 0.20/0.57    ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_image(X0,X2)|~in(X3,X1)|in(sk0_6(X3,X1,X2,X0),X2))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f247])).
% 0.20/0.57  fof(f250,plain,(
% 0.20/0.57    ![X0,X1,X2,X3,X4]: (~relation(X0)|~X1=relation_image(X0,X2)|in(X3,X1)|~in(ordered_pair(X4,X3),X0)|~in(X4,X2))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f247])).
% 0.20/0.57  fof(f251,plain,(
% 0.20/0.57    ![X0,X1,X2,X3]: (~relation(X0)|X1=relation_image(X0,X2)|~in(sk0_7(X1,X2,X0),X1)|~in(ordered_pair(X3,sk0_7(X1,X2,X0)),X0)|~in(X3,X2))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f247])).
% 0.20/0.57  fof(f252,plain,(
% 0.20/0.57    ![X0,X1,X2]: (~relation(X0)|X1=relation_image(X0,X2)|in(sk0_7(X1,X2,X0),X1)|in(ordered_pair(sk0_8(X1,X2,X0),sk0_7(X1,X2,X0)),X0))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f247])).
% 0.20/0.57  fof(f253,plain,(
% 0.20/0.57    ![X0,X1,X2]: (~relation(X0)|X1=relation_image(X0,X2)|in(sk0_7(X1,X2,X0),X1)|in(sk0_8(X1,X2,X0),X2))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f247])).
% 0.20/0.57  fof(f254,plain,(
% 0.20/0.57    ![A]: (relation(A)<=>(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D)))))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.20/0.57  fof(f255,plain,(
% 0.20/0.57    ![A]: ((~relation(A)|(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D)))))&(relation(A)|(?[B]: (in(B,A)&(![C,D]: ~B=ordered_pair(C,D))))))),
% 0.20/0.57    inference(NNF_transformation,[status(esa)],[f254])).
% 0.20/0.57  fof(f256,plain,(
% 0.20/0.57    (![A]: (~relation(A)|(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D))))))&(![A]: (relation(A)|(?[B]: (in(B,A)&(![C,D]: ~B=ordered_pair(C,D))))))),
% 0.20/0.57    inference(miniscoping,[status(esa)],[f255])).
% 0.20/0.57  fof(f257,plain,(
% 0.20/0.57    (![A]: (~relation(A)|(![B]: (~in(B,A)|B=ordered_pair(sk0_9(B,A),sk0_10(B,A))))))&(![A]: (relation(A)|(in(sk0_11(A),A)&(![C,D]: ~sk0_11(A)=ordered_pair(C,D)))))),
% 0.20/0.57    inference(skolemization,[status(esa)],[f256])).
% 0.20/0.57  fof(f258,plain,(
% 0.20/0.57    ![X0,X1]: (~relation(X0)|~in(X1,X0)|X1=ordered_pair(sk0_9(X1,X0),sk0_10(X1,X0)))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f257])).
% 0.20/0.57  fof(f261,plain,(
% 0.20/0.57    ![A,B]: ((A=empty_set|(B=set_meet(A)<=>(![C]: (in(C,B)<=>(![D]: (~in(D,A)|in(C,D)))))))&(~A=empty_set|(B=set_meet(A)<=>B=empty_set)))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.20/0.57  fof(f262,plain,(
% 0.20/0.57    ![A,B]: ((A=empty_set|((~B=set_meet(A)|(![C]: ((~in(C,B)|(![D]: (~in(D,A)|in(C,D))))&(in(C,B)|(?[D]: (in(D,A)&~in(C,D)))))))&(B=set_meet(A)|(?[C]: ((~in(C,B)|(?[D]: (in(D,A)&~in(C,D))))&(in(C,B)|(![D]: (~in(D,A)|in(C,D)))))))))&(~A=empty_set|((~B=set_meet(A)|B=empty_set)&(B=set_meet(A)|~B=empty_set))))),
% 0.20/0.57    inference(NNF_transformation,[status(esa)],[f261])).
% 0.20/0.57  fof(f263,plain,(
% 0.20/0.57    (![A]: (A=empty_set|((![B]: (~B=set_meet(A)|((![C]: (~in(C,B)|(![D]: (~in(D,A)|in(C,D)))))&(![C]: (in(C,B)|(?[D]: (in(D,A)&~in(C,D))))))))&(![B]: (B=set_meet(A)|(?[C]: ((~in(C,B)|(?[D]: (in(D,A)&~in(C,D))))&(in(C,B)|(![D]: (~in(D,A)|in(C,D)))))))))))&(![A]: (~A=empty_set|((![B]: (~B=set_meet(A)|B=empty_set))&(![B]: (B=set_meet(A)|~B=empty_set)))))),
% 0.20/0.57    inference(miniscoping,[status(esa)],[f262])).
% 0.20/0.57  fof(f264,plain,(
% 0.20/0.57    (![A]: (A=empty_set|((![B]: (~B=set_meet(A)|((![C]: (~in(C,B)|(![D]: (~in(D,A)|in(C,D)))))&(![C]: (in(C,B)|(in(sk0_12(C,B,A),A)&~in(C,sk0_12(C,B,A))))))))&(![B]: (B=set_meet(A)|((~in(sk0_13(B,A),B)|(in(sk0_14(B,A),A)&~in(sk0_13(B,A),sk0_14(B,A))))&(in(sk0_13(B,A),B)|(![D]: (~in(D,A)|in(sk0_13(B,A),D))))))))))&(![A]: (~A=empty_set|((![B]: (~B=set_meet(A)|B=empty_set))&(![B]: (B=set_meet(A)|~B=empty_set)))))),
% 0.20/0.57    inference(skolemization,[status(esa)],[f263])).
% 0.20/0.57  fof(f270,plain,(
% 0.20/0.57    ![X0,X1,X2]: (X0=empty_set|X1=set_meet(X0)|in(sk0_13(X1,X0),X1)|~in(X2,X0)|in(sk0_13(X1,X0),X2))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f264])).
% 0.20/0.57  fof(f356,plain,(
% 0.20/0.57    ![A]: (~relation(A)|(![B]: (B=relation_dom(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(C,D),A)))))))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.20/0.57  fof(f357,plain,(
% 0.20/0.57    ![A]: (~relation(A)|(![B]: ((~B=relation_dom(A)|(![C]: ((~in(C,B)|(?[D]: in(ordered_pair(C,D),A)))&(in(C,B)|(![D]: ~in(ordered_pair(C,D),A))))))&(B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 0.20/0.57    inference(NNF_transformation,[status(esa)],[f356])).
% 0.20/0.57  fof(f358,plain,(
% 0.20/0.57    ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(C,D),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 0.20/0.57    inference(miniscoping,[status(esa)],[f357])).
% 0.20/0.57  fof(f359,plain,(
% 0.20/0.57    ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|in(ordered_pair(C,sk0_31(C,B,A)),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|((~in(sk0_32(B,A),B)|(![D]: ~in(ordered_pair(sk0_32(B,A),D),A)))&(in(sk0_32(B,A),B)|in(ordered_pair(sk0_32(B,A),sk0_33(B,A)),A)))))))),
% 0.20/0.57    inference(skolemization,[status(esa)],[f358])).
% 0.20/0.57  fof(f361,plain,(
% 0.20/0.57    ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_dom(X0)|in(X2,X1)|~in(ordered_pair(X2,X3),X0))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f359])).
% 0.20/0.57  fof(f434,plain,(
% 0.20/0.57    ![A]: (~relation(A)|relation(relation_inverse(A)))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f52])).
% 0.20/0.57  fof(f435,plain,(
% 0.20/0.57    ![X0]: (~relation(X0)|relation(relation_inverse(X0)))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f434])).
% 0.20/0.57  fof(f440,plain,(
% 0.20/0.57    ![X0]: (relation(identity_relation(X0)))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f57])).
% 0.20/0.57  fof(f445,plain,(
% 0.20/0.57    ![A,B]: (~relation(A)|relation(relation_dom_restriction(A,B)))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f60])).
% 0.20/0.57  fof(f446,plain,(
% 0.20/0.57    ![A]: (~relation(A)|(![B]: relation(relation_dom_restriction(A,B))))),
% 0.20/0.57    inference(miniscoping,[status(esa)],[f445])).
% 0.20/0.57  fof(f447,plain,(
% 0.20/0.57    ![X0,X1]: (~relation(X0)|relation(relation_dom_restriction(X0,X1)))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f446])).
% 0.20/0.57  fof(f477,plain,(
% 0.20/0.57    ![A]: ((empty(A)|~relation(A))|~empty(relation_dom(A)))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f78])).
% 0.20/0.57  fof(f478,plain,(
% 0.20/0.57    ![X0]: (empty(X0)|~relation(X0)|~empty(relation_dom(X0)))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f477])).
% 0.20/0.57  fof(f481,plain,(
% 0.20/0.57    ![A]: (~empty(A)|(empty(relation_dom(A))&relation(relation_dom(A))))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f80])).
% 0.20/0.57  fof(f482,plain,(
% 0.20/0.57    ![X0]: (~empty(X0)|empty(relation_dom(X0)))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f481])).
% 0.20/0.57  fof(f483,plain,(
% 0.20/0.57    ![X0]: (~empty(X0)|relation(relation_dom(X0)))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f481])).
% 0.20/0.57  fof(f484,plain,(
% 0.20/0.57    ![A]: (~empty(A)|(empty(relation_rng(A))&relation(relation_rng(A))))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f81])).
% 0.20/0.57  fof(f486,plain,(
% 0.20/0.57    ![X0]: (~empty(X0)|relation(relation_rng(X0)))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f484])).
% 0.20/0.57  fof(f513,plain,(
% 0.20/0.57    ![A,B]: ((~set_difference(A,B)=empty_set|subset(A,B))&(set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.20/0.57    inference(NNF_transformation,[status(esa)],[f94])).
% 0.20/0.57  fof(f514,plain,(
% 0.20/0.57    (![A,B]: (~set_difference(A,B)=empty_set|subset(A,B)))&(![A,B]: (set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.20/0.57    inference(miniscoping,[status(esa)],[f513])).
% 0.20/0.57  fof(f516,plain,(
% 0.20/0.57    ![X0,X1]: (set_difference(X0,X1)=empty_set|~subset(X0,X1))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f514])).
% 0.20/0.57  fof(f522,plain,(
% 0.20/0.57    ![A,B]: ((~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))&(subset(A,singleton(B))|(~A=empty_set&~A=singleton(B))))),
% 0.20/0.57    inference(NNF_transformation,[status(esa)],[f97])).
% 0.20/0.57  fof(f523,plain,(
% 0.20/0.57    (![A,B]: (~subset(A,singleton(B))|(A=empty_set|A=singleton(B))))&(![A,B]: (subset(A,singleton(B))|(~A=empty_set&~A=singleton(B))))),
% 0.20/0.57    inference(miniscoping,[status(esa)],[f522])).
% 0.20/0.57  fof(f525,plain,(
% 0.20/0.57    ![X0,X1]: (subset(X0,singleton(X1))|~X0=empty_set)),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f523])).
% 0.20/0.57  fof(f538,plain,(
% 0.20/0.57    (empty(sk0_50)&relation(sk0_50))),
% 0.20/0.57    inference(skolemization,[status(esa)],[f101])).
% 0.20/0.57  fof(f539,plain,(
% 0.20/0.57    empty(sk0_50)),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f538])).
% 0.20/0.57  fof(f540,plain,(
% 0.20/0.57    relation(sk0_50)),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f538])).
% 0.20/0.57  fof(f545,plain,(
% 0.20/0.57    empty(sk0_52)),
% 0.20/0.57    inference(skolemization,[status(esa)],[f103])).
% 0.20/0.57  fof(f546,plain,(
% 0.20/0.57    empty(sk0_52)),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f545])).
% 0.20/0.57  fof(f582,plain,(
% 0.20/0.57    ![A,B]: (~relation(B)|subset(relation_rng_restriction(A,B),B))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f116])).
% 0.20/0.57  fof(f583,plain,(
% 0.20/0.57    ![B]: (~relation(B)|(![A]: subset(relation_rng_restriction(A,B),B)))),
% 0.20/0.57    inference(miniscoping,[status(esa)],[f582])).
% 0.20/0.57  fof(f584,plain,(
% 0.20/0.57    ![X0,X1]: (~relation(X0)|subset(relation_rng_restriction(X1,X0),X0))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f583])).
% 0.20/0.57  fof(f597,plain,(
% 0.20/0.57    ![A,B]: (~subset(A,B)|set_union2(A,B)=B)),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f121])).
% 0.20/0.57  fof(f598,plain,(
% 0.20/0.57    ![X0,X1]: (~subset(X0,X1)|set_union2(X0,X1)=X1)),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f597])).
% 0.20/0.57  fof(f609,plain,(
% 0.20/0.57    (?[A,B,C]: (relation(C)&(in(A,relation_image(C,B))<~>(?[D]: ((in(D,relation_dom(C))&in(ordered_pair(D,A),C))&in(D,B))))))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f125])).
% 0.20/0.57  fof(f610,plain,(
% 0.20/0.57    ?[A,B,C]: (relation(C)&((in(A,relation_image(C,B))|(?[D]: ((in(D,relation_dom(C))&in(ordered_pair(D,A),C))&in(D,B))))&(~in(A,relation_image(C,B))|(![D]: ((~in(D,relation_dom(C))|~in(ordered_pair(D,A),C))|~in(D,B))))))),
% 0.20/0.57    inference(NNF_transformation,[status(esa)],[f609])).
% 0.20/0.57  fof(f611,plain,(
% 0.20/0.57    ?[C]: (relation(C)&(?[A,B]: ((in(A,relation_image(C,B))|(?[D]: ((in(D,relation_dom(C))&in(ordered_pair(D,A),C))&in(D,B))))&(~in(A,relation_image(C,B))|(![D]: ((~in(D,relation_dom(C))|~in(ordered_pair(D,A),C))|~in(D,B)))))))),
% 0.20/0.57    inference(miniscoping,[status(esa)],[f610])).
% 0.20/0.57  fof(f612,plain,(
% 0.20/0.57    (relation(sk0_57)&((in(sk0_58,relation_image(sk0_57,sk0_59))|((in(sk0_60,relation_dom(sk0_57))&in(ordered_pair(sk0_60,sk0_58),sk0_57))&in(sk0_60,sk0_59)))&(~in(sk0_58,relation_image(sk0_57,sk0_59))|(![D]: ((~in(D,relation_dom(sk0_57))|~in(ordered_pair(D,sk0_58),sk0_57))|~in(D,sk0_59))))))),
% 0.20/0.57    inference(skolemization,[status(esa)],[f611])).
% 0.20/0.57  fof(f613,plain,(
% 0.20/0.57    relation(sk0_57)),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f612])).
% 0.20/0.57  fof(f614,plain,(
% 0.20/0.57    in(sk0_58,relation_image(sk0_57,sk0_59))|in(sk0_60,relation_dom(sk0_57))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f612])).
% 0.20/0.57  fof(f615,plain,(
% 0.20/0.57    in(sk0_58,relation_image(sk0_57,sk0_59))|in(ordered_pair(sk0_60,sk0_58),sk0_57)),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f612])).
% 0.20/0.57  fof(f616,plain,(
% 0.20/0.57    in(sk0_58,relation_image(sk0_57,sk0_59))|in(sk0_60,sk0_59)),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f612])).
% 0.20/0.57  fof(f617,plain,(
% 0.20/0.57    ![X0]: (~in(sk0_58,relation_image(sk0_57,sk0_59))|~in(X0,relation_dom(sk0_57))|~in(ordered_pair(X0,sk0_58),sk0_57)|~in(X0,sk0_59))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f612])).
% 0.20/0.57  fof(f618,plain,(
% 0.20/0.57    ![X0,X1]: (subset(set_intersection2(X0,X1),X0))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f126])).
% 0.20/0.57  fof(f634,plain,(
% 0.20/0.57    ![A]: (~relation(A)|(![B]: (~relation(B)|(~subset(A,B)|(subset(relation_dom(A),relation_dom(B))&subset(relation_rng(A),relation_rng(B)))))))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f134])).
% 0.20/0.57  fof(f635,plain,(
% 0.20/0.57    ![X0,X1]: (~relation(X0)|~relation(X1)|~subset(X0,X1)|subset(relation_dom(X0),relation_dom(X1)))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f634])).
% 0.20/0.57  fof(f640,plain,(
% 0.20/0.57    ![A,B]: (~subset(A,B)|set_intersection2(A,B)=A)),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f136])).
% 0.20/0.57  fof(f641,plain,(
% 0.20/0.57    ![X0,X1]: (~subset(X0,X1)|set_intersection2(X0,X1)=X0)),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f640])).
% 0.20/0.57  fof(f661,plain,(
% 0.20/0.57    ![X0,X1]: (subset(set_difference(X0,X1),X0))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f144])).
% 0.20/0.57  fof(f662,plain,(
% 0.20/0.57    ![A]: (~relation(A)|(relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f145])).
% 0.20/0.57  fof(f663,plain,(
% 0.20/0.57    ![X0]: (~relation(X0)|relation_rng(X0)=relation_dom(relation_inverse(X0)))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f662])).
% 0.20/0.57  fof(f741,plain,(
% 0.20/0.57    relation_dom(empty_set)=empty_set),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f174])).
% 0.20/0.57  fof(f748,plain,(
% 0.20/0.57    ![A]: (~relation(A)|((~relation_dom(A)=empty_set&~relation_rng(A)=empty_set)|A=empty_set))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f177])).
% 0.20/0.57  fof(f749,plain,(
% 0.20/0.57    ![X0]: (~relation(X0)|~relation_dom(X0)=empty_set|X0=empty_set)),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f748])).
% 0.20/0.57  fof(f751,plain,(
% 0.20/0.57    ![A]: (~relation(A)|(relation_dom(A)=empty_set<=>relation_rng(A)=empty_set))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f178])).
% 0.20/0.57  fof(f752,plain,(
% 0.20/0.57    ![A]: (~relation(A)|((~relation_dom(A)=empty_set|relation_rng(A)=empty_set)&(relation_dom(A)=empty_set|~relation_rng(A)=empty_set)))),
% 0.20/0.57    inference(NNF_transformation,[status(esa)],[f751])).
% 0.20/0.57  fof(f753,plain,(
% 0.20/0.57    ![X0]: (~relation(X0)|~relation_dom(X0)=empty_set|relation_rng(X0)=empty_set)),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f752])).
% 0.20/0.57  fof(f754,plain,(
% 0.20/0.57    ![X0]: (~relation(X0)|relation_dom(X0)=empty_set|~relation_rng(X0)=empty_set)),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f752])).
% 0.20/0.57  fof(f760,plain,(
% 0.20/0.57    ![A]: (~empty(A)|A=empty_set)),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f181])).
% 0.20/0.57  fof(f761,plain,(
% 0.20/0.57    ![X0]: (~empty(X0)|X0=empty_set)),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f760])).
% 0.20/0.57  fof(f773,plain,(
% 0.20/0.57    ![A,B]: (~in(A,B)|~empty(B))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f185])).
% 0.20/0.57  fof(f774,plain,(
% 0.20/0.57    ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.20/0.57    inference(miniscoping,[status(esa)],[f773])).
% 0.20/0.57  fof(f775,plain,(
% 0.20/0.57    ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f774])).
% 0.20/0.57  fof(f776,plain,(
% 0.20/0.57    ![X0,X1]: (subset(X0,set_union2(X0,X1)))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f186])).
% 0.20/0.57  fof(f787,plain,(
% 0.20/0.57    ![A,B]: (~relation(B)|subset(relation_dom_restriction(B,A),B))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f189])).
% 0.20/0.57  fof(f788,plain,(
% 0.20/0.57    ![B]: (~relation(B)|(![A]: subset(relation_dom_restriction(B,A),B)))),
% 0.20/0.57    inference(miniscoping,[status(esa)],[f787])).
% 0.20/0.57  fof(f789,plain,(
% 0.20/0.57    ![X0,X1]: (~relation(X0)|subset(relation_dom_restriction(X0,X1),X0))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f788])).
% 0.20/0.57  fof(f790,plain,(
% 0.20/0.57    ![A,B]: ((~empty(A)|A=B)|~empty(B))),
% 0.20/0.57    inference(pre_NNF_transformation,[status(esa)],[f190])).
% 0.20/0.57  fof(f791,plain,(
% 0.20/0.57    ![B]: ((![A]: (~empty(A)|A=B))|~empty(B))),
% 0.20/0.57    inference(miniscoping,[status(esa)],[f790])).
% 0.20/0.57  fof(f792,plain,(
% 0.20/0.57    ![X0,X1]: (~empty(X0)|X0=X1|~empty(X1))),
% 0.20/0.57    inference(cnf_transformation,[status(esa)],[f791])).
% 0.20/0.57  fof(f827,plain,(
% 0.20/0.57    spl0_0 <=> in(sk0_58,relation_image(sk0_57,sk0_59))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f828,plain,(
% 0.20/0.57    in(sk0_58,relation_image(sk0_57,sk0_59))|~spl0_0),
% 0.20/0.57    inference(component_clause,[status(thm)],[f827])).
% 0.20/0.57  fof(f830,plain,(
% 0.20/0.57    spl0_1 <=> in(sk0_60,relation_dom(sk0_57))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f833,plain,(
% 0.20/0.57    spl0_0|spl0_1),
% 0.20/0.57    inference(split_clause,[status(thm)],[f614,f827,f830])).
% 0.20/0.57  fof(f834,plain,(
% 0.20/0.57    spl0_2 <=> in(ordered_pair(sk0_60,sk0_58),sk0_57)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f835,plain,(
% 0.20/0.57    in(ordered_pair(sk0_60,sk0_58),sk0_57)|~spl0_2),
% 0.20/0.57    inference(component_clause,[status(thm)],[f834])).
% 0.20/0.57  fof(f837,plain,(
% 0.20/0.57    spl0_0|spl0_2),
% 0.20/0.57    inference(split_clause,[status(thm)],[f615,f827,f834])).
% 0.20/0.57  fof(f838,plain,(
% 0.20/0.57    spl0_3 <=> in(sk0_60,sk0_59)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f839,plain,(
% 0.20/0.57    in(sk0_60,sk0_59)|~spl0_3),
% 0.20/0.57    inference(component_clause,[status(thm)],[f838])).
% 0.20/0.57  fof(f841,plain,(
% 0.20/0.57    spl0_0|spl0_3),
% 0.20/0.57    inference(split_clause,[status(thm)],[f616,f827,f838])).
% 0.20/0.57  fof(f842,plain,(
% 0.20/0.57    spl0_4 <=> ~in(X0,relation_dom(sk0_57))|~in(ordered_pair(X0,sk0_58),sk0_57)|~in(X0,sk0_59)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f843,plain,(
% 0.20/0.57    ![X0]: (~in(X0,relation_dom(sk0_57))|~in(ordered_pair(X0,sk0_58),sk0_57)|~in(X0,sk0_59)|~spl0_4)),
% 0.20/0.57    inference(component_clause,[status(thm)],[f842])).
% 0.20/0.57  fof(f845,plain,(
% 0.20/0.57    ~spl0_0|spl0_4),
% 0.20/0.57    inference(split_clause,[status(thm)],[f617,f827,f842])).
% 0.20/0.57  fof(f849,plain,(
% 0.20/0.57    ![X0]: (subset(X0,X0))),
% 0.20/0.57    inference(destructive_equality_resolution,[status(esa)],[f221])).
% 0.20/0.57  fof(f857,plain,(
% 0.20/0.57    ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,X2))|in(ordered_pair(sk0_6(X1,relation_image(X0,X2),X2,X0),X1),X0))),
% 0.20/0.57    inference(destructive_equality_resolution,[status(esa)],[f248])).
% 0.20/0.57  fof(f858,plain,(
% 0.20/0.57    ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,X2))|in(sk0_6(X1,relation_image(X0,X2),X2,X0),X2))),
% 0.20/0.57    inference(destructive_equality_resolution,[status(esa)],[f249])).
% 0.20/0.57  fof(f859,plain,(
% 0.20/0.57    ![X0,X1,X2,X3]: (~relation(X0)|in(X1,relation_image(X0,X2))|~in(ordered_pair(X3,X1),X0)|~in(X3,X2))),
% 0.20/0.57    inference(destructive_equality_resolution,[status(esa)],[f250])).
% 0.20/0.57  fof(f882,plain,(
% 0.20/0.57    ![X0,X1,X2]: (~relation(X0)|in(X1,relation_dom(X0))|~in(ordered_pair(X1,X2),X0))),
% 0.20/0.57    inference(destructive_equality_resolution,[status(esa)],[f361])).
% 0.20/0.57  fof(f899,plain,(
% 0.20/0.57    ![X0]: (subset(empty_set,singleton(X0)))),
% 0.20/0.57    inference(destructive_equality_resolution,[status(esa)],[f525])).
% 0.20/0.57  fof(f907,plain,(
% 0.20/0.57    spl0_5 <=> empty(empty_set)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f909,plain,(
% 0.20/0.57    ~empty(empty_set)|spl0_5),
% 0.20/0.57    inference(component_clause,[status(thm)],[f907])).
% 0.20/0.57  fof(f910,plain,(
% 0.20/0.57    spl0_6 <=> relation(empty_set)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f916,plain,(
% 0.20/0.57    spl0_7 <=> relation_dom(sk0_57)=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f919,plain,(
% 0.20/0.57    spl0_8 <=> sk0_57=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f920,plain,(
% 0.20/0.57    sk0_57=empty_set|~spl0_8),
% 0.20/0.57    inference(component_clause,[status(thm)],[f919])).
% 0.20/0.57  fof(f922,plain,(
% 0.20/0.57    ~relation_dom(sk0_57)=empty_set|sk0_57=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f749,f613])).
% 0.20/0.57  fof(f923,plain,(
% 0.20/0.57    ~spl0_7|spl0_8),
% 0.20/0.57    inference(split_clause,[status(thm)],[f922,f916,f919])).
% 0.20/0.57  fof(f924,plain,(
% 0.20/0.57    spl0_9 <=> relation_rng(sk0_57)=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f927,plain,(
% 0.20/0.57    ~relation_dom(sk0_57)=empty_set|relation_rng(sk0_57)=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f753,f613])).
% 0.20/0.57  fof(f928,plain,(
% 0.20/0.57    ~spl0_7|spl0_9),
% 0.20/0.57    inference(split_clause,[status(thm)],[f927,f916,f924])).
% 0.20/0.57  fof(f929,plain,(
% 0.20/0.57    relation_dom(sk0_57)=empty_set|~relation_rng(sk0_57)=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f754,f613])).
% 0.20/0.57  fof(f930,plain,(
% 0.20/0.57    spl0_7|~spl0_9),
% 0.20/0.57    inference(split_clause,[status(thm)],[f929,f916,f924])).
% 0.20/0.57  fof(f938,plain,(
% 0.20/0.57    spl0_10 <=> relation_dom(empty_set)=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f940,plain,(
% 0.20/0.57    ~relation_dom(empty_set)=empty_set|spl0_10),
% 0.20/0.57    inference(component_clause,[status(thm)],[f938])).
% 0.20/0.57  fof(f941,plain,(
% 0.20/0.57    spl0_11 <=> relation_rng(empty_set)=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f942,plain,(
% 0.20/0.57    relation_rng(empty_set)=empty_set|~spl0_11),
% 0.20/0.57    inference(component_clause,[status(thm)],[f941])).
% 0.20/0.57  fof(f948,plain,(
% 0.20/0.57    spl0_12 <=> empty_set=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f953,plain,(
% 0.20/0.57    ~empty_set=empty_set|spl0_10),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f741,f940])).
% 0.20/0.57  fof(f954,plain,(
% 0.20/0.57    $false|spl0_10),
% 0.20/0.57    inference(trivial_equality_resolution,[status(esa)],[f953])).
% 0.20/0.57  fof(f955,plain,(
% 0.20/0.57    spl0_10),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f954])).
% 0.20/0.57  fof(f965,plain,(
% 0.20/0.57    relation(relation_dom(sk0_50))),
% 0.20/0.57    inference(resolution,[status(thm)],[f539,f483])).
% 0.20/0.57  fof(f966,plain,(
% 0.20/0.57    empty(relation_dom(sk0_50))),
% 0.20/0.57    inference(resolution,[status(thm)],[f539,f482])).
% 0.20/0.57  fof(f967,plain,(
% 0.20/0.57    spl0_13 <=> relation_dom(relation_dom(sk0_50))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f970,plain,(
% 0.20/0.57    spl0_14 <=> relation_rng(relation_dom(sk0_50))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f975,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(sk0_50))=empty_set|relation_rng(relation_dom(sk0_50))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f965,f753])).
% 0.20/0.57  fof(f976,plain,(
% 0.20/0.57    ~spl0_13|spl0_14),
% 0.20/0.57    inference(split_clause,[status(thm)],[f975,f967,f970])).
% 0.20/0.57  fof(f977,plain,(
% 0.20/0.57    spl0_15 <=> relation_dom(sk0_50)=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f978,plain,(
% 0.20/0.57    relation_dom(sk0_50)=empty_set|~spl0_15),
% 0.20/0.57    inference(component_clause,[status(thm)],[f977])).
% 0.20/0.57  fof(f980,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(sk0_50))=empty_set|relation_dom(sk0_50)=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f965,f749])).
% 0.20/0.57  fof(f981,plain,(
% 0.20/0.57    ~spl0_13|spl0_15),
% 0.20/0.57    inference(split_clause,[status(thm)],[f980,f967,f977])).
% 0.20/0.57  fof(f982,plain,(
% 0.20/0.57    spl0_16 <=> empty(sk0_50)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f985,plain,(
% 0.20/0.57    spl0_17 <=> relation(sk0_50)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f987,plain,(
% 0.20/0.57    ~relation(sk0_50)|spl0_17),
% 0.20/0.57    inference(component_clause,[status(thm)],[f985])).
% 0.20/0.57  fof(f988,plain,(
% 0.20/0.57    empty(sk0_50)|~relation(sk0_50)),
% 0.20/0.57    inference(resolution,[status(thm)],[f966,f478])).
% 0.20/0.57  fof(f989,plain,(
% 0.20/0.57    spl0_16|~spl0_17),
% 0.20/0.57    inference(split_clause,[status(thm)],[f988,f982,f985])).
% 0.20/0.57  fof(f990,plain,(
% 0.20/0.57    relation(relation_dom(relation_dom(sk0_50)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f966,f483])).
% 0.20/0.57  fof(f991,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(sk0_50)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f966,f482])).
% 0.20/0.57  fof(f992,plain,(
% 0.20/0.57    empty(empty_set)|~spl0_15),
% 0.20/0.57    inference(backward_demodulation,[status(thm)],[f978,f966])).
% 0.20/0.57  fof(f993,plain,(
% 0.20/0.57    relation(empty_set)|~spl0_15),
% 0.20/0.57    inference(backward_demodulation,[status(thm)],[f978,f965])).
% 0.20/0.57  fof(f1002,plain,(
% 0.20/0.57    ~relation_dom(empty_set)=empty_set|relation_rng(empty_set)=empty_set|~spl0_15),
% 0.20/0.57    inference(resolution,[status(thm)],[f993,f753])).
% 0.20/0.57  fof(f1003,plain,(
% 0.20/0.57    ~spl0_10|spl0_11|~spl0_15),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1002,f938,f941,f977])).
% 0.20/0.57  fof(f1004,plain,(
% 0.20/0.57    ~relation_dom(empty_set)=empty_set|empty_set=empty_set|~spl0_15),
% 0.20/0.57    inference(resolution,[status(thm)],[f993,f749])).
% 0.20/0.57  fof(f1005,plain,(
% 0.20/0.57    ~spl0_10|spl0_12|~spl0_15),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1004,f938,f948,f977])).
% 0.20/0.57  fof(f1016,plain,(
% 0.20/0.57    spl0_18 <=> relation_dom(relation_dom(relation_dom(sk0_50)))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1019,plain,(
% 0.20/0.57    spl0_19 <=> relation_rng(relation_dom(relation_dom(sk0_50)))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1024,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(sk0_50)))=empty_set|relation_rng(relation_dom(relation_dom(sk0_50)))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f990,f753])).
% 0.20/0.57  fof(f1025,plain,(
% 0.20/0.57    ~spl0_18|spl0_19),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1024,f1016,f1019])).
% 0.20/0.57  fof(f1026,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(sk0_50)))=empty_set|relation_dom(relation_dom(sk0_50))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f990,f749])).
% 0.20/0.57  fof(f1027,plain,(
% 0.20/0.57    ~spl0_18|spl0_13),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1026,f1016,f967])).
% 0.20/0.57  fof(f1028,plain,(
% 0.20/0.57    spl0_20 <=> empty(relation_dom(sk0_50))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1031,plain,(
% 0.20/0.57    spl0_21 <=> relation(relation_dom(sk0_50))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1033,plain,(
% 0.20/0.57    ~relation(relation_dom(sk0_50))|spl0_21),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1031])).
% 0.20/0.57  fof(f1034,plain,(
% 0.20/0.57    empty(relation_dom(sk0_50))|~relation(relation_dom(sk0_50))),
% 0.20/0.57    inference(resolution,[status(thm)],[f991,f478])).
% 0.20/0.57  fof(f1035,plain,(
% 0.20/0.57    spl0_20|~spl0_21),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1034,f1028,f1031])).
% 0.20/0.57  fof(f1036,plain,(
% 0.20/0.57    relation(relation_dom(relation_dom(relation_dom(sk0_50))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f991,f483])).
% 0.20/0.57  fof(f1037,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(sk0_50))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f991,f482])).
% 0.20/0.57  fof(f1038,plain,(
% 0.20/0.57    $false|spl0_21),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1033,f965])).
% 0.20/0.57  fof(f1039,plain,(
% 0.20/0.57    spl0_21),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1038])).
% 0.20/0.57  fof(f1040,plain,(
% 0.20/0.57    spl0_22 <=> relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1043,plain,(
% 0.20/0.57    spl0_23 <=> relation_rng(relation_dom(relation_dom(relation_dom(sk0_50))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1048,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))=empty_set|relation_rng(relation_dom(relation_dom(relation_dom(sk0_50))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1036,f753])).
% 0.20/0.57  fof(f1049,plain,(
% 0.20/0.57    ~spl0_22|spl0_23),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1048,f1040,f1043])).
% 0.20/0.57  fof(f1050,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))=empty_set|relation_dom(relation_dom(relation_dom(sk0_50)))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1036,f749])).
% 0.20/0.57  fof(f1051,plain,(
% 0.20/0.57    ~spl0_22|spl0_18),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1050,f1040,f1016])).
% 0.20/0.57  fof(f1052,plain,(
% 0.20/0.57    spl0_24 <=> empty(relation_dom(relation_dom(sk0_50)))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1055,plain,(
% 0.20/0.57    spl0_25 <=> relation(relation_dom(relation_dom(sk0_50)))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1057,plain,(
% 0.20/0.57    ~relation(relation_dom(relation_dom(sk0_50)))|spl0_25),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1055])).
% 0.20/0.57  fof(f1058,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(sk0_50)))|~relation(relation_dom(relation_dom(sk0_50)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1037,f478])).
% 0.20/0.57  fof(f1059,plain,(
% 0.20/0.57    spl0_24|~spl0_25),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1058,f1052,f1055])).
% 0.20/0.57  fof(f1060,plain,(
% 0.20/0.57    relation(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1037,f483])).
% 0.20/0.57  fof(f1061,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1037,f482])).
% 0.20/0.57  fof(f1062,plain,(
% 0.20/0.57    $false|spl0_25),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1057,f990])).
% 0.20/0.57  fof(f1063,plain,(
% 0.20/0.57    spl0_25),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1062])).
% 0.20/0.57  fof(f1064,plain,(
% 0.20/0.57    spl0_26 <=> relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1067,plain,(
% 0.20/0.57    spl0_27 <=> relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1072,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))=empty_set|relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1060,f753])).
% 0.20/0.57  fof(f1073,plain,(
% 0.20/0.57    ~spl0_26|spl0_27),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1072,f1064,f1067])).
% 0.20/0.57  fof(f1074,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))=empty_set|relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1060,f749])).
% 0.20/0.57  fof(f1075,plain,(
% 0.20/0.57    ~spl0_26|spl0_22),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1074,f1064,f1040])).
% 0.20/0.57  fof(f1076,plain,(
% 0.20/0.57    spl0_28 <=> empty(relation_dom(relation_dom(relation_dom(sk0_50))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1079,plain,(
% 0.20/0.57    spl0_29 <=> relation(relation_dom(relation_dom(relation_dom(sk0_50))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1081,plain,(
% 0.20/0.57    ~relation(relation_dom(relation_dom(relation_dom(sk0_50))))|spl0_29),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1079])).
% 0.20/0.57  fof(f1082,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(sk0_50))))|~relation(relation_dom(relation_dom(relation_dom(sk0_50))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1061,f478])).
% 0.20/0.57  fof(f1083,plain,(
% 0.20/0.57    spl0_28|~spl0_29),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1082,f1076,f1079])).
% 0.20/0.57  fof(f1084,plain,(
% 0.20/0.57    relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1061,f483])).
% 0.20/0.57  fof(f1085,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1061,f482])).
% 0.20/0.57  fof(f1086,plain,(
% 0.20/0.57    $false|spl0_29),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1081,f1036])).
% 0.20/0.57  fof(f1087,plain,(
% 0.20/0.57    spl0_29),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1086])).
% 0.20/0.57  fof(f1088,plain,(
% 0.20/0.57    spl0_30 <=> relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1091,plain,(
% 0.20/0.57    spl0_31 <=> relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1096,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))=empty_set|relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1084,f753])).
% 0.20/0.57  fof(f1097,plain,(
% 0.20/0.57    ~spl0_30|spl0_31),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1096,f1088,f1091])).
% 0.20/0.57  fof(f1098,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))=empty_set|relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1084,f749])).
% 0.20/0.57  fof(f1099,plain,(
% 0.20/0.57    ~spl0_30|spl0_26),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1098,f1088,f1064])).
% 0.20/0.57  fof(f1100,plain,(
% 0.20/0.57    spl0_32 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1103,plain,(
% 0.20/0.57    spl0_33 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1105,plain,(
% 0.20/0.57    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))|spl0_33),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1103])).
% 0.20/0.57  fof(f1106,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1085,f478])).
% 0.20/0.57  fof(f1107,plain,(
% 0.20/0.57    spl0_32|~spl0_33),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1106,f1100,f1103])).
% 0.20/0.57  fof(f1108,plain,(
% 0.20/0.57    relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1085,f483])).
% 0.20/0.57  fof(f1109,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1085,f482])).
% 0.20/0.57  fof(f1110,plain,(
% 0.20/0.57    $false|spl0_33),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1105,f1060])).
% 0.20/0.57  fof(f1111,plain,(
% 0.20/0.57    spl0_33),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1110])).
% 0.20/0.57  fof(f1112,plain,(
% 0.20/0.57    spl0_34 <=> relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1115,plain,(
% 0.20/0.57    spl0_35 <=> relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1120,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))=empty_set|relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1108,f753])).
% 0.20/0.57  fof(f1121,plain,(
% 0.20/0.57    ~spl0_34|spl0_35),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1120,f1112,f1115])).
% 0.20/0.57  fof(f1122,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))=empty_set|relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1108,f749])).
% 0.20/0.57  fof(f1123,plain,(
% 0.20/0.57    ~spl0_34|spl0_30),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1122,f1112,f1088])).
% 0.20/0.57  fof(f1124,plain,(
% 0.20/0.57    spl0_36 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1127,plain,(
% 0.20/0.57    spl0_37 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1129,plain,(
% 0.20/0.57    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))|spl0_37),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1127])).
% 0.20/0.57  fof(f1130,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1109,f478])).
% 0.20/0.57  fof(f1131,plain,(
% 0.20/0.57    spl0_36|~spl0_37),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1130,f1124,f1127])).
% 0.20/0.57  fof(f1132,plain,(
% 0.20/0.57    relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1109,f483])).
% 0.20/0.57  fof(f1133,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1109,f482])).
% 0.20/0.57  fof(f1134,plain,(
% 0.20/0.57    $false|spl0_37),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1129,f1084])).
% 0.20/0.57  fof(f1135,plain,(
% 0.20/0.57    spl0_37),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1134])).
% 0.20/0.57  fof(f1136,plain,(
% 0.20/0.57    spl0_38 <=> relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1139,plain,(
% 0.20/0.57    spl0_39 <=> relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1144,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))=empty_set|relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1132,f753])).
% 0.20/0.57  fof(f1145,plain,(
% 0.20/0.57    ~spl0_38|spl0_39),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1144,f1136,f1139])).
% 0.20/0.57  fof(f1146,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))=empty_set|relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1132,f749])).
% 0.20/0.57  fof(f1147,plain,(
% 0.20/0.57    ~spl0_38|spl0_34),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1146,f1136,f1112])).
% 0.20/0.57  fof(f1148,plain,(
% 0.20/0.57    spl0_40 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1151,plain,(
% 0.20/0.57    spl0_41 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1153,plain,(
% 0.20/0.57    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))|spl0_41),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1151])).
% 0.20/0.57  fof(f1154,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1133,f478])).
% 0.20/0.57  fof(f1155,plain,(
% 0.20/0.57    spl0_40|~spl0_41),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1154,f1148,f1151])).
% 0.20/0.57  fof(f1156,plain,(
% 0.20/0.57    relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1133,f483])).
% 0.20/0.57  fof(f1157,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1133,f482])).
% 0.20/0.57  fof(f1158,plain,(
% 0.20/0.57    $false|spl0_41),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1153,f1108])).
% 0.20/0.57  fof(f1159,plain,(
% 0.20/0.57    spl0_41),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1158])).
% 0.20/0.57  fof(f1160,plain,(
% 0.20/0.57    spl0_42 <=> relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1163,plain,(
% 0.20/0.57    spl0_43 <=> relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1168,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))=empty_set|relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1156,f753])).
% 0.20/0.57  fof(f1169,plain,(
% 0.20/0.57    ~spl0_42|spl0_43),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1168,f1160,f1163])).
% 0.20/0.57  fof(f1170,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))=empty_set|relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1156,f749])).
% 0.20/0.57  fof(f1171,plain,(
% 0.20/0.57    ~spl0_42|spl0_38),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1170,f1160,f1136])).
% 0.20/0.57  fof(f1172,plain,(
% 0.20/0.57    spl0_44 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1175,plain,(
% 0.20/0.57    spl0_45 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1177,plain,(
% 0.20/0.57    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))|spl0_45),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1175])).
% 0.20/0.57  fof(f1178,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1157,f478])).
% 0.20/0.57  fof(f1179,plain,(
% 0.20/0.57    spl0_44|~spl0_45),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1178,f1172,f1175])).
% 0.20/0.57  fof(f1180,plain,(
% 0.20/0.57    relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1157,f483])).
% 0.20/0.57  fof(f1181,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1157,f482])).
% 0.20/0.57  fof(f1182,plain,(
% 0.20/0.57    $false|spl0_45),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1177,f1132])).
% 0.20/0.57  fof(f1183,plain,(
% 0.20/0.57    spl0_45),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1182])).
% 0.20/0.57  fof(f1184,plain,(
% 0.20/0.57    spl0_46 <=> relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1187,plain,(
% 0.20/0.57    spl0_47 <=> relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1192,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))=empty_set|relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1180,f753])).
% 0.20/0.57  fof(f1193,plain,(
% 0.20/0.57    ~spl0_46|spl0_47),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1192,f1184,f1187])).
% 0.20/0.57  fof(f1194,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))=empty_set|relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1180,f749])).
% 0.20/0.57  fof(f1195,plain,(
% 0.20/0.57    ~spl0_46|spl0_42),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1194,f1184,f1160])).
% 0.20/0.57  fof(f1196,plain,(
% 0.20/0.57    spl0_48 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1199,plain,(
% 0.20/0.57    spl0_49 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1201,plain,(
% 0.20/0.57    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))|spl0_49),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1199])).
% 0.20/0.57  fof(f1202,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1181,f478])).
% 0.20/0.57  fof(f1203,plain,(
% 0.20/0.57    spl0_48|~spl0_49),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1202,f1196,f1199])).
% 0.20/0.57  fof(f1204,plain,(
% 0.20/0.57    relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1181,f483])).
% 0.20/0.57  fof(f1205,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1181,f482])).
% 0.20/0.57  fof(f1206,plain,(
% 0.20/0.57    $false|spl0_49),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1201,f1156])).
% 0.20/0.57  fof(f1207,plain,(
% 0.20/0.57    spl0_49),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1206])).
% 0.20/0.57  fof(f1208,plain,(
% 0.20/0.57    spl0_50 <=> relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1211,plain,(
% 0.20/0.57    spl0_51 <=> relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1216,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))=empty_set|relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1204,f753])).
% 0.20/0.57  fof(f1217,plain,(
% 0.20/0.57    ~spl0_50|spl0_51),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1216,f1208,f1211])).
% 0.20/0.57  fof(f1218,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))=empty_set|relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1204,f749])).
% 0.20/0.57  fof(f1219,plain,(
% 0.20/0.57    ~spl0_50|spl0_46),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1218,f1208,f1184])).
% 0.20/0.57  fof(f1220,plain,(
% 0.20/0.57    spl0_52 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1223,plain,(
% 0.20/0.57    spl0_53 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1225,plain,(
% 0.20/0.57    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))|spl0_53),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1223])).
% 0.20/0.57  fof(f1226,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1205,f478])).
% 0.20/0.57  fof(f1227,plain,(
% 0.20/0.57    spl0_52|~spl0_53),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1226,f1220,f1223])).
% 0.20/0.57  fof(f1228,plain,(
% 0.20/0.57    relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1205,f483])).
% 0.20/0.57  fof(f1229,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1205,f482])).
% 0.20/0.57  fof(f1230,plain,(
% 0.20/0.57    $false|spl0_53),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1225,f1180])).
% 0.20/0.57  fof(f1231,plain,(
% 0.20/0.57    spl0_53),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1230])).
% 0.20/0.57  fof(f1232,plain,(
% 0.20/0.57    spl0_54 <=> relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1235,plain,(
% 0.20/0.57    spl0_55 <=> relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1240,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))=empty_set|relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1228,f753])).
% 0.20/0.57  fof(f1241,plain,(
% 0.20/0.57    ~spl0_54|spl0_55),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1240,f1232,f1235])).
% 0.20/0.57  fof(f1242,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))=empty_set|relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1228,f749])).
% 0.20/0.57  fof(f1243,plain,(
% 0.20/0.57    ~spl0_54|spl0_50),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1242,f1232,f1208])).
% 0.20/0.57  fof(f1244,plain,(
% 0.20/0.57    spl0_56 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1247,plain,(
% 0.20/0.57    spl0_57 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1249,plain,(
% 0.20/0.57    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))|spl0_57),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1247])).
% 0.20/0.57  fof(f1250,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1229,f478])).
% 0.20/0.57  fof(f1251,plain,(
% 0.20/0.57    spl0_56|~spl0_57),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1250,f1244,f1247])).
% 0.20/0.57  fof(f1252,plain,(
% 0.20/0.57    relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1229,f483])).
% 0.20/0.57  fof(f1253,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1229,f482])).
% 0.20/0.57  fof(f1254,plain,(
% 0.20/0.57    $false|spl0_57),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1249,f1204])).
% 0.20/0.57  fof(f1255,plain,(
% 0.20/0.57    spl0_57),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1254])).
% 0.20/0.57  fof(f1256,plain,(
% 0.20/0.57    spl0_58 <=> relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1259,plain,(
% 0.20/0.57    spl0_59 <=> relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1264,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))))=empty_set|relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1252,f753])).
% 0.20/0.57  fof(f1265,plain,(
% 0.20/0.57    ~spl0_58|spl0_59),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1264,f1256,f1259])).
% 0.20/0.57  fof(f1266,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))))=empty_set|relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1252,f749])).
% 0.20/0.57  fof(f1267,plain,(
% 0.20/0.57    ~spl0_58|spl0_54),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1266,f1256,f1232])).
% 0.20/0.57  fof(f1268,plain,(
% 0.20/0.57    spl0_60 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1271,plain,(
% 0.20/0.57    spl0_61 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1273,plain,(
% 0.20/0.57    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))|spl0_61),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1271])).
% 0.20/0.57  fof(f1274,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1253,f478])).
% 0.20/0.57  fof(f1275,plain,(
% 0.20/0.57    spl0_60|~spl0_61),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1274,f1268,f1271])).
% 0.20/0.57  fof(f1276,plain,(
% 0.20/0.57    relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1253,f483])).
% 0.20/0.57  fof(f1277,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1253,f482])).
% 0.20/0.57  fof(f1278,plain,(
% 0.20/0.57    $false|spl0_61),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1273,f1228])).
% 0.20/0.57  fof(f1279,plain,(
% 0.20/0.57    spl0_61),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1278])).
% 0.20/0.57  fof(f1280,plain,(
% 0.20/0.57    spl0_62 <=> relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1282,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))))=empty_set|spl0_62),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1280])).
% 0.20/0.57  fof(f1283,plain,(
% 0.20/0.57    spl0_63 <=> relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1288,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))))=empty_set|relation_rng(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1276,f753])).
% 0.20/0.57  fof(f1289,plain,(
% 0.20/0.57    ~spl0_62|spl0_63),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1288,f1280,f1283])).
% 0.20/0.57  fof(f1290,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))))=empty_set|relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1276,f749])).
% 0.20/0.57  fof(f1291,plain,(
% 0.20/0.57    ~spl0_62|spl0_58),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1290,f1280,f1256])).
% 0.20/0.57  fof(f1292,plain,(
% 0.20/0.57    spl0_64 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1295,plain,(
% 0.20/0.57    spl0_65 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1297,plain,(
% 0.20/0.57    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))))|spl0_65),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1295])).
% 0.20/0.57  fof(f1298,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1277,f478])).
% 0.20/0.57  fof(f1299,plain,(
% 0.20/0.57    spl0_64|~spl0_65),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1298,f1292,f1295])).
% 0.20/0.57  fof(f1301,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50)))))))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1277,f482])).
% 0.20/0.57  fof(f1302,plain,(
% 0.20/0.57    $false|spl0_65),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1297,f1252])).
% 0.20/0.57  fof(f1303,plain,(
% 0.20/0.57    spl0_65),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1302])).
% 0.20/0.57  fof(f1316,plain,(
% 0.20/0.57    spl0_68 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1319,plain,(
% 0.20/0.57    spl0_69 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1321,plain,(
% 0.20/0.57    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))))|spl0_69),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1319])).
% 0.20/0.57  fof(f1322,plain,(
% 0.20/0.57    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1301,f478])).
% 0.20/0.57  fof(f1323,plain,(
% 0.20/0.57    spl0_68|~spl0_69),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1322,f1316,f1319])).
% 0.20/0.57  fof(f1326,plain,(
% 0.20/0.57    $false|spl0_69),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1321,f1276])).
% 0.20/0.57  fof(f1327,plain,(
% 0.20/0.57    spl0_69),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1326])).
% 0.20/0.57  fof(f1328,plain,(
% 0.20/0.57    $false|spl0_17),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f540,f987])).
% 0.20/0.57  fof(f1329,plain,(
% 0.20/0.57    spl0_17),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1328])).
% 0.20/0.57  fof(f1330,plain,(
% 0.20/0.57    relation(relation_dom(sk0_52))),
% 0.20/0.57    inference(resolution,[status(thm)],[f546,f483])).
% 0.20/0.57  fof(f1347,plain,(
% 0.20/0.57    spl0_73 <=> relation_rng(sk0_50)=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1348,plain,(
% 0.20/0.57    relation_rng(sk0_50)=empty_set|~spl0_73),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1347])).
% 0.20/0.57  fof(f1352,plain,(
% 0.20/0.57    ~relation_dom(sk0_50)=empty_set|relation_rng(sk0_50)=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f540,f753])).
% 0.20/0.57  fof(f1353,plain,(
% 0.20/0.57    ~spl0_15|spl0_73),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1352,f977,f1347])).
% 0.20/0.57  fof(f1354,plain,(
% 0.20/0.57    spl0_74 <=> sk0_50=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1355,plain,(
% 0.20/0.57    sk0_50=empty_set|~spl0_74),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1354])).
% 0.20/0.57  fof(f1357,plain,(
% 0.20/0.57    ~relation_dom(sk0_50)=empty_set|sk0_50=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f540,f749])).
% 0.20/0.57  fof(f1358,plain,(
% 0.20/0.57    ~spl0_15|spl0_74),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1357,f977,f1354])).
% 0.20/0.57  fof(f1362,plain,(
% 0.20/0.57    relation(sk0_52)),
% 0.20/0.57    inference(resolution,[status(thm)],[f205,f546])).
% 0.20/0.57  fof(f1378,plain,(
% 0.20/0.57    spl0_75 <=> relation_dom(sk0_52)=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1381,plain,(
% 0.20/0.57    spl0_76 <=> relation_rng(sk0_52)=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1386,plain,(
% 0.20/0.57    ~relation_dom(sk0_52)=empty_set|relation_rng(sk0_52)=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1362,f753])).
% 0.20/0.57  fof(f1387,plain,(
% 0.20/0.57    ~spl0_75|spl0_76),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1386,f1378,f1381])).
% 0.20/0.57  fof(f1388,plain,(
% 0.20/0.57    spl0_77 <=> sk0_52=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1389,plain,(
% 0.20/0.57    sk0_52=empty_set|~spl0_77),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1388])).
% 0.20/0.57  fof(f1397,plain,(
% 0.20/0.57    relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(sk0_50))))))))))))))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f761,f1301])).
% 0.20/0.57  fof(f1398,plain,(
% 0.20/0.57    $false|spl0_62),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1397,f1282])).
% 0.20/0.57  fof(f1399,plain,(
% 0.20/0.57    spl0_62),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1398])).
% 0.20/0.57  fof(f1417,plain,(
% 0.20/0.57    spl0_78 <=> relation_dom(relation_dom(sk0_52))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1419,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(sk0_52))=empty_set|spl0_78),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1417])).
% 0.20/0.57  fof(f1420,plain,(
% 0.20/0.57    spl0_79 <=> relation_rng(relation_dom(sk0_52))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1425,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(sk0_52))=empty_set|relation_rng(relation_dom(sk0_52))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1330,f753])).
% 0.20/0.57  fof(f1426,plain,(
% 0.20/0.57    ~spl0_78|spl0_79),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1425,f1417,f1420])).
% 0.20/0.57  fof(f1427,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(sk0_52))=empty_set|relation_dom(sk0_52)=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1330,f749])).
% 0.20/0.57  fof(f1428,plain,(
% 0.20/0.57    ~spl0_78|spl0_75),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1427,f1417,f1378])).
% 0.20/0.57  fof(f1435,plain,(
% 0.20/0.57    spl0_80 <=> ~relation(singleton(X0))|subset(relation_dom(empty_set),relation_dom(singleton(X0)))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1438,plain,(
% 0.20/0.57    ![X0]: (~relation(empty_set)|~relation(singleton(X0))|subset(relation_dom(empty_set),relation_dom(singleton(X0))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f899,f635])).
% 0.20/0.57  fof(f1439,plain,(
% 0.20/0.57    ~spl0_6|spl0_80),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1438,f910,f1435])).
% 0.20/0.57  fof(f1440,plain,(
% 0.20/0.57    ![X0,X1]: (~relation(set_intersection2(X0,X1))|~relation(X0)|subset(relation_dom(set_intersection2(X0,X1)),relation_dom(X0)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f618,f635])).
% 0.20/0.57  fof(f1442,plain,(
% 0.20/0.57    ![X0,X1]: (~relation(set_difference(X0,X1))|~relation(X0)|subset(relation_dom(set_difference(X0,X1)),relation_dom(X0)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f661,f635])).
% 0.20/0.57  fof(f1450,plain,(
% 0.20/0.57    ![X0,X1]: (~relation(X0)|~relation(set_union2(X0,X1))|subset(relation_dom(X0),relation_dom(set_union2(X0,X1))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f776,f635])).
% 0.20/0.57  fof(f1462,plain,(
% 0.20/0.57    ![X0,X1]: (subset(X0,set_union2(X1,X0)))),
% 0.20/0.57    inference(paramodulation,[status(thm)],[f207,f776])).
% 0.20/0.57  fof(f1464,plain,(
% 0.20/0.57    ![X0,X1]: (~relation(X0)|~relation(set_union2(X1,X0))|subset(relation_dom(X0),relation_dom(set_union2(X1,X0))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1462,f635])).
% 0.20/0.57  fof(f1468,plain,(
% 0.20/0.57    ![X0,X1]: (subset(set_intersection2(X0,X1),X1))),
% 0.20/0.57    inference(paramodulation,[status(thm)],[f208,f618])).
% 0.20/0.57  fof(f1470,plain,(
% 0.20/0.57    ![X0,X1]: (~relation(set_intersection2(X0,X1))|~relation(X1)|subset(relation_dom(set_intersection2(X0,X1)),relation_dom(X1)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1468,f635])).
% 0.20/0.57  fof(f1493,plain,(
% 0.20/0.57    relation(relation_inverse(sk0_57))),
% 0.20/0.57    inference(resolution,[status(thm)],[f435,f613])).
% 0.20/0.57  fof(f1542,plain,(
% 0.20/0.57    relation(relation_inverse(relation_inverse(sk0_57)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1493,f435])).
% 0.20/0.57  fof(f1543,plain,(
% 0.20/0.57    spl0_90 <=> relation_dom(relation_inverse(sk0_57))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1546,plain,(
% 0.20/0.57    spl0_91 <=> relation_rng(relation_inverse(sk0_57))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1549,plain,(
% 0.20/0.57    relation_dom(relation_inverse(sk0_57))=empty_set|~relation_rng(relation_inverse(sk0_57))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1493,f754])).
% 0.20/0.57  fof(f1550,plain,(
% 0.20/0.57    spl0_90|~spl0_91),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1549,f1543,f1546])).
% 0.20/0.57  fof(f1551,plain,(
% 0.20/0.57    ~relation_dom(relation_inverse(sk0_57))=empty_set|relation_rng(relation_inverse(sk0_57))=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1493,f753])).
% 0.20/0.57  fof(f1552,plain,(
% 0.20/0.57    ~spl0_90|spl0_91),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1551,f1543,f1546])).
% 0.20/0.57  fof(f1553,plain,(
% 0.20/0.57    spl0_92 <=> relation_inverse(sk0_57)=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1554,plain,(
% 0.20/0.57    relation_inverse(sk0_57)=empty_set|~spl0_92),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1553])).
% 0.20/0.57  fof(f1556,plain,(
% 0.20/0.57    ~relation_dom(relation_inverse(sk0_57))=empty_set|relation_inverse(sk0_57)=empty_set),
% 0.20/0.57    inference(resolution,[status(thm)],[f1493,f749])).
% 0.20/0.57  fof(f1557,plain,(
% 0.20/0.57    ~spl0_90|spl0_92),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1556,f1543,f1553])).
% 0.20/0.57  fof(f1592,plain,(
% 0.20/0.57    relation(relation_rng(sk0_50))),
% 0.20/0.57    inference(resolution,[status(thm)],[f486,f539])).
% 0.20/0.57  fof(f1593,plain,(
% 0.20/0.57    relation(empty_set)|~spl0_73),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f1348,f1592])).
% 0.20/0.57  fof(f1615,plain,(
% 0.20/0.57    ![X0]: (sk0_52=X0|~empty(X0))),
% 0.20/0.57    inference(resolution,[status(thm)],[f792,f546])).
% 0.20/0.57  fof(f1644,plain,(
% 0.20/0.57    sk0_52=relation_dom(sk0_50)),
% 0.20/0.57    inference(resolution,[status(thm)],[f1615,f966])).
% 0.20/0.57  fof(f1654,plain,(
% 0.20/0.57    ![X0]: (relation_inverse(sk0_57)=identity_relation(X0)|in(ordered_pair(sk0_0(X0,relation_inverse(sk0_57)),sk0_1(X0,relation_inverse(sk0_57))),relation_inverse(sk0_57))|in(sk0_0(X0,relation_inverse(sk0_57)),X0))),
% 0.20/0.57    inference(resolution,[status(thm)],[f217,f1493])).
% 0.20/0.57  fof(f1677,plain,(
% 0.20/0.57    ![X0]: (sk0_57=identity_relation(X0)|in(ordered_pair(sk0_0(X0,sk0_57),sk0_1(X0,sk0_57)),sk0_57)|in(sk0_0(X0,sk0_57),X0))),
% 0.20/0.57    inference(resolution,[status(thm)],[f217,f613])).
% 0.20/0.57  fof(f1678,plain,(
% 0.20/0.57    ![X0]: (relation_inverse(sk0_57)=identity_relation(X0)|in(ordered_pair(sk0_0(X0,relation_inverse(sk0_57)),sk0_1(X0,relation_inverse(sk0_57))),relation_inverse(sk0_57))|sk0_0(X0,relation_inverse(sk0_57))=sk0_1(X0,relation_inverse(sk0_57)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f218,f1493])).
% 0.20/0.57  fof(f1702,plain,(
% 0.20/0.57    ![X0]: (sk0_57=identity_relation(X0)|in(ordered_pair(sk0_0(X0,sk0_57),sk0_1(X0,sk0_57)),sk0_57)|sk0_0(X0,sk0_57)=sk0_1(X0,sk0_57))),
% 0.20/0.57    inference(resolution,[status(thm)],[f218,f613])).
% 0.20/0.57  fof(f1752,plain,(
% 0.20/0.57    relation(relation_inverse(empty_set))|~spl0_92),
% 0.20/0.57    inference(backward_demodulation,[status(thm)],[f1554,f1542])).
% 0.20/0.57  fof(f1771,plain,(
% 0.20/0.57    spl0_96 <=> relation_dom(relation_inverse(empty_set))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1774,plain,(
% 0.20/0.57    spl0_97 <=> relation_rng(relation_inverse(empty_set))=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1777,plain,(
% 0.20/0.57    relation_dom(relation_inverse(empty_set))=empty_set|~relation_rng(relation_inverse(empty_set))=empty_set|~spl0_92),
% 0.20/0.57    inference(resolution,[status(thm)],[f1752,f754])).
% 0.20/0.57  fof(f1778,plain,(
% 0.20/0.57    spl0_96|~spl0_97|~spl0_92),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1777,f1771,f1774,f1553])).
% 0.20/0.57  fof(f1779,plain,(
% 0.20/0.57    ~relation_dom(relation_inverse(empty_set))=empty_set|relation_rng(relation_inverse(empty_set))=empty_set|~spl0_92),
% 0.20/0.57    inference(resolution,[status(thm)],[f1752,f753])).
% 0.20/0.57  fof(f1780,plain,(
% 0.20/0.57    ~spl0_96|spl0_97|~spl0_92),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1779,f1771,f1774,f1553])).
% 0.20/0.57  fof(f1781,plain,(
% 0.20/0.57    spl0_98 <=> relation_inverse(empty_set)=empty_set),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1784,plain,(
% 0.20/0.57    ~relation_dom(relation_inverse(empty_set))=empty_set|relation_inverse(empty_set)=empty_set|~spl0_92),
% 0.20/0.57    inference(resolution,[status(thm)],[f1752,f749])).
% 0.20/0.57  fof(f1785,plain,(
% 0.20/0.57    ~spl0_96|spl0_98|~spl0_92),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1784,f1771,f1781,f1553])).
% 0.20/0.57  fof(f1795,plain,(
% 0.20/0.57    spl0_99 <=> relation(identity_relation(relation_image(sk0_57,sk0_59)))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1797,plain,(
% 0.20/0.57    ~relation(identity_relation(relation_image(sk0_57,sk0_59)))|spl0_99),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1795])).
% 0.20/0.57  fof(f1812,plain,(
% 0.20/0.57    $false|spl0_99),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1797,f440])).
% 0.20/0.57  fof(f1813,plain,(
% 0.20/0.57    spl0_99),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1812])).
% 0.20/0.57  fof(f1826,plain,(
% 0.20/0.57    ~in(sk0_60,relation_dom(sk0_57))|~in(sk0_60,sk0_59)|~spl0_2|~spl0_4),
% 0.20/0.57    inference(resolution,[status(thm)],[f835,f843])).
% 0.20/0.57  fof(f1827,plain,(
% 0.20/0.57    ~spl0_1|~spl0_3|~spl0_2|~spl0_4),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1826,f830,f838,f834,f842])).
% 0.20/0.57  fof(f1828,plain,(
% 0.20/0.57    spl0_102 <=> relation(sk0_57)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1830,plain,(
% 0.20/0.57    ~relation(sk0_57)|spl0_102),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1828])).
% 0.20/0.57  fof(f1833,plain,(
% 0.20/0.57    spl0_103 <=> in(sk0_58,relation_image(sk0_57,X0))|~in(sk0_60,X0)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1834,plain,(
% 0.20/0.57    ![X0]: (in(sk0_58,relation_image(sk0_57,X0))|~in(sk0_60,X0)|~spl0_103)),
% 0.20/0.57    inference(component_clause,[status(thm)],[f1833])).
% 0.20/0.57  fof(f1836,plain,(
% 0.20/0.57    ![X0]: (~relation(sk0_57)|in(sk0_58,relation_image(sk0_57,X0))|~in(sk0_60,X0)|~spl0_2)),
% 0.20/0.57    inference(resolution,[status(thm)],[f835,f859])).
% 0.20/0.57  fof(f1837,plain,(
% 0.20/0.57    ~spl0_102|spl0_103|~spl0_2),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1836,f1828,f1833,f834])).
% 0.20/0.57  fof(f1842,plain,(
% 0.20/0.57    $false|spl0_102),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f1830,f613])).
% 0.20/0.57  fof(f1843,plain,(
% 0.20/0.57    spl0_102),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f1842])).
% 0.20/0.57  fof(f1848,plain,(
% 0.20/0.57    spl0_104 <=> sk0_57=identity_relation(X0)|in(sk0_0(X0,sk0_57),X0)|sk0_57=identity_relation(X0)|~in(sk0_0(X0,sk0_57),X0)|~sk0_0(X0,sk0_57)=sk0_1(X0,sk0_57)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1851,plain,(
% 0.20/0.57    ![X0]: (sk0_57=identity_relation(X0)|in(sk0_0(X0,sk0_57),X0)|~relation(sk0_57)|sk0_57=identity_relation(X0)|~in(sk0_0(X0,sk0_57),X0)|~sk0_0(X0,sk0_57)=sk0_1(X0,sk0_57))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1677,f216])).
% 0.20/0.57  fof(f1852,plain,(
% 0.20/0.57    spl0_104|~spl0_102),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1851,f1848,f1828])).
% 0.20/0.57  fof(f1853,plain,(
% 0.20/0.57    spl0_105 <=> sk0_57=identity_relation(X0)|in(sk0_0(X0,sk0_57),X0)|in(sk0_0(X0,sk0_57),relation_dom(sk0_57))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1856,plain,(
% 0.20/0.57    ![X0]: (sk0_57=identity_relation(X0)|in(sk0_0(X0,sk0_57),X0)|~relation(sk0_57)|in(sk0_0(X0,sk0_57),relation_dom(sk0_57)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1677,f882])).
% 0.20/0.57  fof(f1857,plain,(
% 0.20/0.57    spl0_105|~spl0_102),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1856,f1853,f1828])).
% 0.20/0.57  fof(f1858,plain,(
% 0.20/0.57    spl0_106 <=> sk0_57=identity_relation(X0)|in(sk0_0(X0,sk0_57),X0)|in(sk0_1(X0,sk0_57),relation_image(sk0_57,X1))|~in(sk0_0(X0,sk0_57),X1)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1861,plain,(
% 0.20/0.57    ![X0,X1]: (sk0_57=identity_relation(X0)|in(sk0_0(X0,sk0_57),X0)|~relation(sk0_57)|in(sk0_1(X0,sk0_57),relation_image(sk0_57,X1))|~in(sk0_0(X0,sk0_57),X1))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1677,f859])).
% 0.20/0.57  fof(f1862,plain,(
% 0.20/0.57    spl0_106|~spl0_102),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1861,f1858,f1828])).
% 0.20/0.57  fof(f1874,plain,(
% 0.20/0.57    spl0_109 <=> sk0_57=identity_relation(X0)|sk0_0(X0,sk0_57)=sk0_1(X0,sk0_57)|sk0_57=identity_relation(X0)|~in(sk0_0(X0,sk0_57),X0)|~sk0_0(X0,sk0_57)=sk0_1(X0,sk0_57)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1877,plain,(
% 0.20/0.57    ![X0]: (sk0_57=identity_relation(X0)|sk0_0(X0,sk0_57)=sk0_1(X0,sk0_57)|~relation(sk0_57)|sk0_57=identity_relation(X0)|~in(sk0_0(X0,sk0_57),X0)|~sk0_0(X0,sk0_57)=sk0_1(X0,sk0_57))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1702,f216])).
% 0.20/0.57  fof(f1878,plain,(
% 0.20/0.57    spl0_109|~spl0_102),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1877,f1874,f1828])).
% 0.20/0.57  fof(f1879,plain,(
% 0.20/0.57    spl0_110 <=> sk0_57=identity_relation(X0)|sk0_0(X0,sk0_57)=sk0_1(X0,sk0_57)|in(sk0_0(X0,sk0_57),relation_dom(sk0_57))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1882,plain,(
% 0.20/0.57    ![X0]: (sk0_57=identity_relation(X0)|sk0_0(X0,sk0_57)=sk0_1(X0,sk0_57)|~relation(sk0_57)|in(sk0_0(X0,sk0_57),relation_dom(sk0_57)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1702,f882])).
% 0.20/0.57  fof(f1883,plain,(
% 0.20/0.57    spl0_110|~spl0_102),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1882,f1879,f1828])).
% 0.20/0.57  fof(f1884,plain,(
% 0.20/0.57    spl0_111 <=> sk0_57=identity_relation(X0)|sk0_0(X0,sk0_57)=sk0_1(X0,sk0_57)|in(sk0_1(X0,sk0_57),relation_image(sk0_57,X1))|~in(sk0_0(X0,sk0_57),X1)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1887,plain,(
% 0.20/0.57    ![X0,X1]: (sk0_57=identity_relation(X0)|sk0_0(X0,sk0_57)=sk0_1(X0,sk0_57)|~relation(sk0_57)|in(sk0_1(X0,sk0_57),relation_image(sk0_57,X1))|~in(sk0_0(X0,sk0_57),X1))),
% 0.20/0.57    inference(resolution,[status(thm)],[f1702,f859])).
% 0.20/0.57  fof(f1888,plain,(
% 0.20/0.57    spl0_111|~spl0_102),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1887,f1884,f1828])).
% 0.20/0.57  fof(f1945,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|in(ordered_pair(sk0_0(X0,relation_inverse(sk0_57)),sk0_1(X0,relation_inverse(sk0_57))),relation_inverse(sk0_57))|in(sk0_0(X0,relation_inverse(sk0_57)),X0)|~spl0_92)),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f1554,f1654])).
% 0.20/0.57  fof(f1946,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|in(ordered_pair(sk0_0(X0,empty_set),sk0_1(X0,relation_inverse(sk0_57))),relation_inverse(sk0_57))|in(sk0_0(X0,relation_inverse(sk0_57)),X0)|~spl0_92)),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f1554,f1945])).
% 0.20/0.57  fof(f1947,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|in(ordered_pair(sk0_0(X0,empty_set),sk0_1(X0,empty_set)),relation_inverse(sk0_57))|in(sk0_0(X0,relation_inverse(sk0_57)),X0)|~spl0_92)),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f1554,f1946])).
% 0.20/0.57  fof(f1948,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|in(ordered_pair(sk0_0(X0,empty_set),sk0_1(X0,empty_set)),empty_set)|in(sk0_0(X0,relation_inverse(sk0_57)),X0)|~spl0_92)),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f1554,f1947])).
% 0.20/0.57  fof(f1949,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|in(ordered_pair(sk0_0(X0,empty_set),sk0_1(X0,empty_set)),empty_set)|in(sk0_0(X0,empty_set),X0)|~spl0_92)),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f1554,f1948])).
% 0.20/0.57  fof(f1950,plain,(
% 0.20/0.57    spl0_113 <=> empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0)|empty_set=identity_relation(X0)|~in(sk0_0(X0,empty_set),X0)|~sk0_0(X0,empty_set)=sk0_1(X0,empty_set)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1953,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0)|~relation(empty_set)|empty_set=identity_relation(X0)|~in(sk0_0(X0,empty_set),X0)|~sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|~spl0_92)),
% 0.20/0.57    inference(resolution,[status(thm)],[f1949,f216])).
% 0.20/0.57  fof(f1954,plain,(
% 0.20/0.57    spl0_113|~spl0_6|~spl0_92),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1953,f1950,f910,f1553])).
% 0.20/0.57  fof(f1955,plain,(
% 0.20/0.57    spl0_114 <=> empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0)|in(sk0_0(X0,empty_set),relation_dom(empty_set))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1958,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0)|~relation(empty_set)|in(sk0_0(X0,empty_set),relation_dom(empty_set))|~spl0_92)),
% 0.20/0.57    inference(resolution,[status(thm)],[f1949,f882])).
% 0.20/0.57  fof(f1959,plain,(
% 0.20/0.57    spl0_114|~spl0_6|~spl0_92),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1958,f1955,f910,f1553])).
% 0.20/0.57  fof(f1960,plain,(
% 0.20/0.57    spl0_115 <=> empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0)|in(sk0_1(X0,empty_set),relation_image(empty_set,X1))|~in(sk0_0(X0,empty_set),X1)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1963,plain,(
% 0.20/0.57    ![X0,X1]: (empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0)|~relation(empty_set)|in(sk0_1(X0,empty_set),relation_image(empty_set,X1))|~in(sk0_0(X0,empty_set),X1)|~spl0_92)),
% 0.20/0.57    inference(resolution,[status(thm)],[f1949,f859])).
% 0.20/0.57  fof(f1964,plain,(
% 0.20/0.57    spl0_115|~spl0_6|~spl0_92),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1963,f1960,f910,f1553])).
% 0.20/0.57  fof(f1967,plain,(
% 0.20/0.57    spl0_116 <=> empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1970,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|in(sk0_0(X0,empty_set),X0)|~empty(empty_set)|~spl0_92)),
% 0.20/0.57    inference(resolution,[status(thm)],[f1949,f775])).
% 0.20/0.57  fof(f1971,plain,(
% 0.20/0.57    spl0_116|~spl0_5|~spl0_92),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1970,f1967,f907,f1553])).
% 0.20/0.57  fof(f1973,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|in(ordered_pair(sk0_0(X0,relation_inverse(sk0_57)),sk0_1(X0,relation_inverse(sk0_57))),relation_inverse(sk0_57))|sk0_0(X0,relation_inverse(sk0_57))=sk0_1(X0,relation_inverse(sk0_57))|~spl0_92)),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f1554,f1678])).
% 0.20/0.57  fof(f1974,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|in(ordered_pair(sk0_0(X0,empty_set),sk0_1(X0,relation_inverse(sk0_57))),relation_inverse(sk0_57))|sk0_0(X0,relation_inverse(sk0_57))=sk0_1(X0,relation_inverse(sk0_57))|~spl0_92)),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f1554,f1973])).
% 0.20/0.57  fof(f1975,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|in(ordered_pair(sk0_0(X0,empty_set),sk0_1(X0,empty_set)),relation_inverse(sk0_57))|sk0_0(X0,relation_inverse(sk0_57))=sk0_1(X0,relation_inverse(sk0_57))|~spl0_92)),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f1554,f1974])).
% 0.20/0.57  fof(f1976,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|in(ordered_pair(sk0_0(X0,empty_set),sk0_1(X0,empty_set)),empty_set)|sk0_0(X0,relation_inverse(sk0_57))=sk0_1(X0,relation_inverse(sk0_57))|~spl0_92)),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f1554,f1975])).
% 0.20/0.57  fof(f1977,plain,(
% 0.20/0.57    ![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,relation_inverse(sk0_57))|~spl0_92)),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f1554,f1976])).
% 0.20/0.57  fof(f1978,plain,(
% 0.20/0.57    ![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)|~spl0_92)),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f1554,f1977])).
% 0.20/0.57  fof(f1979,plain,(
% 0.20/0.57    spl0_117 <=> empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|empty_set=identity_relation(X0)|~in(sk0_0(X0,empty_set),X0)|~sk0_0(X0,empty_set)=sk0_1(X0,empty_set)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1982,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|~relation(empty_set)|empty_set=identity_relation(X0)|~in(sk0_0(X0,empty_set),X0)|~sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|~spl0_92)),
% 0.20/0.57    inference(resolution,[status(thm)],[f1978,f216])).
% 0.20/0.57  fof(f1983,plain,(
% 0.20/0.57    spl0_117|~spl0_6|~spl0_92),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1982,f1979,f910,f1553])).
% 0.20/0.57  fof(f1984,plain,(
% 0.20/0.57    spl0_118 <=> empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|in(sk0_0(X0,empty_set),relation_dom(empty_set))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1987,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|~relation(empty_set)|in(sk0_0(X0,empty_set),relation_dom(empty_set))|~spl0_92)),
% 0.20/0.57    inference(resolution,[status(thm)],[f1978,f882])).
% 0.20/0.57  fof(f1988,plain,(
% 0.20/0.57    spl0_118|~spl0_6|~spl0_92),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1987,f1984,f910,f1553])).
% 0.20/0.57  fof(f1989,plain,(
% 0.20/0.57    spl0_119 <=> empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|in(sk0_1(X0,empty_set),relation_image(empty_set,X1))|~in(sk0_0(X0,empty_set),X1)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1992,plain,(
% 0.20/0.57    ![X0,X1]: (empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|~relation(empty_set)|in(sk0_1(X0,empty_set),relation_image(empty_set,X1))|~in(sk0_0(X0,empty_set),X1)|~spl0_92)),
% 0.20/0.57    inference(resolution,[status(thm)],[f1978,f859])).
% 0.20/0.57  fof(f1993,plain,(
% 0.20/0.57    spl0_119|~spl0_6|~spl0_92),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1992,f1989,f910,f1553])).
% 0.20/0.57  fof(f1996,plain,(
% 0.20/0.57    spl0_120 <=> empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f1999,plain,(
% 0.20/0.57    ![X0]: (empty_set=identity_relation(X0)|sk0_0(X0,empty_set)=sk0_1(X0,empty_set)|~empty(empty_set)|~spl0_92)),
% 0.20/0.57    inference(resolution,[status(thm)],[f1978,f775])).
% 0.20/0.57  fof(f2000,plain,(
% 0.20/0.57    spl0_120|~spl0_5|~spl0_92),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1999,f1996,f907,f1553])).
% 0.20/0.57  fof(f2077,plain,(
% 0.20/0.57    ![X0,X1]: (~relation(X0)|~relation(set_union2(X1,X0))|subset(relation_dom(X0),relation_dom(set_union2(X0,X1))))),
% 0.20/0.57    inference(paramodulation,[status(thm)],[f207,f1450])).
% 0.20/0.57  fof(f2082,plain,(
% 0.20/0.57    ![X0,X1]: (~relation(X0)|~relation(set_union2(X0,X1))|subset(relation_dom(X0),relation_dom(set_union2(X1,X0))))),
% 0.20/0.57    inference(paramodulation,[status(thm)],[f207,f1464])).
% 0.20/0.57  fof(f2087,plain,(
% 0.20/0.57    ![X0,X1]: (~relation(set_intersection2(X0,X1))|~relation(X0)|subset(relation_dom(set_intersection2(X1,X0)),relation_dom(X0)))),
% 0.20/0.57    inference(paramodulation,[status(thm)],[f208,f1470])).
% 0.20/0.57  fof(f2119,plain,(
% 0.20/0.57    sk0_52=relation_dom(empty_set)|~spl0_74),
% 0.20/0.57    inference(backward_demodulation,[status(thm)],[f1355,f1644])).
% 0.20/0.57  fof(f2120,plain,(
% 0.20/0.57    sk0_52=empty_set|~spl0_74),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f741,f2119])).
% 0.20/0.57  fof(f2180,plain,(
% 0.20/0.57    ![X0]: (relation(relation_dom_restriction(sk0_57,X0)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f447,f613])).
% 0.20/0.57  fof(f2359,plain,(
% 0.20/0.57    ![X0]: (set_difference(X0,X0)=empty_set)),
% 0.20/0.57    inference(resolution,[status(thm)],[f516,f849])).
% 0.20/0.57  fof(f2366,plain,(
% 0.20/0.57    spl0_123 <=> ~relation(X0)|subset(relation_dom(set_difference(X0,X0)),relation_dom(X0))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f2369,plain,(
% 0.20/0.57    ![X0]: (~relation(empty_set)|~relation(X0)|subset(relation_dom(set_difference(X0,X0)),relation_dom(X0)))),
% 0.20/0.57    inference(paramodulation,[status(thm)],[f2359,f1442])).
% 0.20/0.57  fof(f2370,plain,(
% 0.20/0.57    ~spl0_6|spl0_123),
% 0.20/0.57    inference(split_clause,[status(thm)],[f2369,f910,f2366])).
% 0.20/0.57  fof(f2454,plain,(
% 0.20/0.57    spl0_127 <=> in(ordered_pair(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),sk0_58),sk0_57)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f2455,plain,(
% 0.20/0.57    in(ordered_pair(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),sk0_58),sk0_57)|~spl0_127),
% 0.20/0.57    inference(component_clause,[status(thm)],[f2454])).
% 0.20/0.57  fof(f2457,plain,(
% 0.20/0.57    ~relation(sk0_57)|in(ordered_pair(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),sk0_58),sk0_57)|~spl0_0),
% 0.20/0.57    inference(resolution,[status(thm)],[f857,f828])).
% 0.20/0.57  fof(f2458,plain,(
% 0.20/0.57    ~spl0_102|spl0_127|~spl0_0),
% 0.20/0.57    inference(split_clause,[status(thm)],[f2457,f1828,f2454,f827])).
% 0.20/0.57  fof(f2462,plain,(
% 0.20/0.57    ![X0,X1]: (X0=relation_image(sk0_57,X1)|in(sk0_7(X0,X1,sk0_57),X0)|in(ordered_pair(sk0_8(X0,X1,sk0_57),sk0_7(X0,X1,sk0_57)),sk0_57))),
% 0.20/0.57    inference(resolution,[status(thm)],[f252,f613])).
% 0.20/0.57  fof(f2466,plain,(
% 0.20/0.57    ![X0,X1]: (X0=relation_image(sk0_57,X1)|in(sk0_7(X0,X1,sk0_57),X0)|in(sk0_8(X0,X1,sk0_57),X1))),
% 0.20/0.57    inference(resolution,[status(thm)],[f253,f613])).
% 0.20/0.57  fof(f2559,plain,(
% 0.20/0.57    spl0_143 <=> relation(relation_dom(sk0_57))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f2995,plain,(
% 0.20/0.57    $false|~spl0_15|spl0_5),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f909,f992])).
% 0.20/0.57  fof(f2996,plain,(
% 0.20/0.57    ~spl0_15|spl0_5),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f2995])).
% 0.20/0.57  fof(f3015,plain,(
% 0.20/0.57    ~relation_dom(relation_dom(empty_set))=empty_set|~spl0_77|spl0_78),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f1389,f1419])).
% 0.20/0.57  fof(f3016,plain,(
% 0.20/0.57    ~relation_dom(empty_set)=empty_set|~spl0_77|spl0_78),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f741,f3015])).
% 0.20/0.57  fof(f3017,plain,(
% 0.20/0.57    ~empty_set=empty_set|~spl0_77|spl0_78),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f741,f3016])).
% 0.20/0.57  fof(f3018,plain,(
% 0.20/0.57    $false|~spl0_77|spl0_78),
% 0.20/0.57    inference(trivial_equality_resolution,[status(esa)],[f3017])).
% 0.20/0.57  fof(f3019,plain,(
% 0.20/0.57    ~spl0_77|spl0_78),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f3018])).
% 0.20/0.57  fof(f3027,plain,(
% 0.20/0.57    spl0_6|~spl0_73),
% 0.20/0.57    inference(split_clause,[status(thm)],[f1593,f910,f1347])).
% 0.20/0.57  fof(f3030,plain,(
% 0.20/0.57    spl0_77|~spl0_74),
% 0.20/0.57    inference(split_clause,[status(thm)],[f2120,f1388,f1354])).
% 0.20/0.57  fof(f3146,plain,(
% 0.20/0.57    in(sk0_58,relation_image(sk0_57,sk0_59))|~spl0_103|~spl0_3),
% 0.20/0.57    inference(resolution,[status(thm)],[f1834,f839])).
% 0.20/0.57  fof(f3147,plain,(
% 0.20/0.57    spl0_0|~spl0_103|~spl0_3),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3146,f827,f1833,f838])).
% 0.20/0.57  fof(f3212,plain,(
% 0.20/0.57    ![X0]: (subset(relation_rng_restriction(X0,relation_inverse(sk0_57)),relation_inverse(sk0_57)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f584,f1493])).
% 0.20/0.57  fof(f3241,plain,(
% 0.20/0.57    ![X0]: (subset(relation_dom_restriction(relation_inverse(sk0_57),X0),relation_inverse(sk0_57)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f789,f1493])).
% 0.20/0.57  fof(f3243,plain,(
% 0.20/0.57    ![X0]: (subset(relation_dom_restriction(sk0_57,X0),sk0_57))),
% 0.20/0.57    inference(resolution,[status(thm)],[f789,f613])).
% 0.20/0.57  fof(f3254,plain,(
% 0.20/0.57    spl0_186 <=> ~relation(relation_dom_restriction(sk0_57,X0))|subset(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3255,plain,(
% 0.20/0.57    ![X0]: (~relation(relation_dom_restriction(sk0_57,X0))|subset(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57))|~spl0_186)),
% 0.20/0.57    inference(component_clause,[status(thm)],[f3254])).
% 0.20/0.57  fof(f3257,plain,(
% 0.20/0.57    ![X0]: (~relation(relation_dom_restriction(sk0_57,X0))|~relation(sk0_57)|subset(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f3243,f635])).
% 0.20/0.57  fof(f3258,plain,(
% 0.20/0.57    spl0_186|~spl0_102),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3257,f3254,f1828])).
% 0.20/0.57  fof(f3259,plain,(
% 0.20/0.57    ![X0]: (subset(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57))|~spl0_186)),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f3255,f2180])).
% 0.20/0.57  fof(f3266,plain,(
% 0.20/0.57    spl0_187 <=> in(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),sk0_59)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3269,plain,(
% 0.20/0.57    ~relation(sk0_57)|in(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),sk0_59)|~spl0_0),
% 0.20/0.57    inference(resolution,[status(thm)],[f828,f858])).
% 0.20/0.57  fof(f3270,plain,(
% 0.20/0.57    ~spl0_102|spl0_187|~spl0_0),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3269,f1828,f3266,f827])).
% 0.20/0.57  fof(f3384,plain,(
% 0.20/0.57    relation_rng(sk0_57)=relation_dom(relation_inverse(sk0_57))),
% 0.20/0.57    inference(resolution,[status(thm)],[f663,f613])).
% 0.20/0.57  fof(f3385,plain,(
% 0.20/0.57    spl0_188 <=> empty(relation_inverse(sk0_57))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3386,plain,(
% 0.20/0.57    empty(relation_inverse(sk0_57))|~spl0_188),
% 0.20/0.57    inference(component_clause,[status(thm)],[f3385])).
% 0.20/0.57  fof(f3388,plain,(
% 0.20/0.57    spl0_189 <=> relation(relation_inverse(sk0_57))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3390,plain,(
% 0.20/0.57    ~relation(relation_inverse(sk0_57))|spl0_189),
% 0.20/0.57    inference(component_clause,[status(thm)],[f3388])).
% 0.20/0.57  fof(f3391,plain,(
% 0.20/0.57    spl0_190 <=> empty(relation_rng(sk0_57))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3393,plain,(
% 0.20/0.57    ~empty(relation_rng(sk0_57))|spl0_190),
% 0.20/0.57    inference(component_clause,[status(thm)],[f3391])).
% 0.20/0.57  fof(f3394,plain,(
% 0.20/0.57    empty(relation_inverse(sk0_57))|~relation(relation_inverse(sk0_57))|~empty(relation_rng(sk0_57))),
% 0.20/0.57    inference(paramodulation,[status(thm)],[f3384,f478])).
% 0.20/0.57  fof(f3395,plain,(
% 0.20/0.57    spl0_188|~spl0_189|~spl0_190),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3394,f3385,f3388,f3391])).
% 0.20/0.57  fof(f3396,plain,(
% 0.20/0.57    $false|spl0_189),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f3390,f1493])).
% 0.20/0.57  fof(f3397,plain,(
% 0.20/0.57    spl0_189),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f3396])).
% 0.20/0.57  fof(f3403,plain,(
% 0.20/0.57    relation_inverse(sk0_57)=empty_set|~spl0_188),
% 0.20/0.57    inference(resolution,[status(thm)],[f3386,f761])).
% 0.20/0.57  fof(f3404,plain,(
% 0.20/0.57    spl0_92|~spl0_188),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3403,f1553,f3385])).
% 0.20/0.57  fof(f3408,plain,(
% 0.20/0.57    empty(relation_dom(relation_inverse(sk0_57)))|~spl0_188),
% 0.20/0.57    inference(resolution,[status(thm)],[f3386,f482])).
% 0.20/0.57  fof(f3409,plain,(
% 0.20/0.57    empty(relation_rng(sk0_57))|~spl0_188),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f3384,f3408])).
% 0.20/0.57  fof(f3410,plain,(
% 0.20/0.57    $false|spl0_190|~spl0_188),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f3409,f3393])).
% 0.20/0.57  fof(f3411,plain,(
% 0.20/0.57    spl0_190|~spl0_188),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f3410])).
% 0.20/0.57  fof(f3483,plain,(
% 0.20/0.57    spl0_194 <=> ordered_pair(sk0_0(X0,sk0_57),sk0_1(X0,sk0_57))=ordered_pair(sk0_9(ordered_pair(sk0_0(X0,sk0_57),sk0_1(X0,sk0_57)),sk0_57),sk0_10(ordered_pair(sk0_0(X0,sk0_57),sk0_1(X0,sk0_57)),sk0_57))|sk0_57=identity_relation(X0)|sk0_0(X0,sk0_57)=sk0_1(X0,sk0_57)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3486,plain,(
% 0.20/0.57    ![X0]: (~relation(sk0_57)|ordered_pair(sk0_0(X0,sk0_57),sk0_1(X0,sk0_57))=ordered_pair(sk0_9(ordered_pair(sk0_0(X0,sk0_57),sk0_1(X0,sk0_57)),sk0_57),sk0_10(ordered_pair(sk0_0(X0,sk0_57),sk0_1(X0,sk0_57)),sk0_57))|sk0_57=identity_relation(X0)|sk0_0(X0,sk0_57)=sk0_1(X0,sk0_57))),
% 0.20/0.57    inference(resolution,[status(thm)],[f258,f1702])).
% 0.20/0.57  fof(f3487,plain,(
% 0.20/0.57    ~spl0_102|spl0_194),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3486,f1828,f3483])).
% 0.20/0.57  fof(f3488,plain,(
% 0.20/0.57    spl0_195 <=> ordered_pair(sk0_0(X0,sk0_57),sk0_1(X0,sk0_57))=ordered_pair(sk0_9(ordered_pair(sk0_0(X0,sk0_57),sk0_1(X0,sk0_57)),sk0_57),sk0_10(ordered_pair(sk0_0(X0,sk0_57),sk0_1(X0,sk0_57)),sk0_57))|sk0_57=identity_relation(X0)|in(sk0_0(X0,sk0_57),X0)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3491,plain,(
% 0.20/0.57    ![X0]: (~relation(sk0_57)|ordered_pair(sk0_0(X0,sk0_57),sk0_1(X0,sk0_57))=ordered_pair(sk0_9(ordered_pair(sk0_0(X0,sk0_57),sk0_1(X0,sk0_57)),sk0_57),sk0_10(ordered_pair(sk0_0(X0,sk0_57),sk0_1(X0,sk0_57)),sk0_57))|sk0_57=identity_relation(X0)|in(sk0_0(X0,sk0_57),X0))),
% 0.20/0.57    inference(resolution,[status(thm)],[f258,f1677])).
% 0.20/0.57  fof(f3492,plain,(
% 0.20/0.57    ~spl0_102|spl0_195),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3491,f1828,f3488])).
% 0.20/0.57  fof(f3560,plain,(
% 0.20/0.57    spl0_198 <=> X0=set_meet(sk0_57)|in(sk0_13(X0,sk0_57),X0)|in(sk0_13(X0,sk0_57),ordered_pair(sk0_0(X1,sk0_57),sk0_1(X1,sk0_57)))|sk0_57=identity_relation(X1)|sk0_0(X1,sk0_57)=sk0_1(X1,sk0_57)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3563,plain,(
% 0.20/0.57    ![X0,X1]: (sk0_57=empty_set|X0=set_meet(sk0_57)|in(sk0_13(X0,sk0_57),X0)|in(sk0_13(X0,sk0_57),ordered_pair(sk0_0(X1,sk0_57),sk0_1(X1,sk0_57)))|sk0_57=identity_relation(X1)|sk0_0(X1,sk0_57)=sk0_1(X1,sk0_57))),
% 0.20/0.57    inference(resolution,[status(thm)],[f270,f1702])).
% 0.20/0.57  fof(f3564,plain,(
% 0.20/0.57    spl0_8|spl0_198),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3563,f919,f3560])).
% 0.20/0.57  fof(f3565,plain,(
% 0.20/0.57    spl0_199 <=> X0=set_meet(sk0_57)|in(sk0_13(X0,sk0_57),X0)|in(sk0_13(X0,sk0_57),ordered_pair(sk0_0(X1,sk0_57),sk0_1(X1,sk0_57)))|sk0_57=identity_relation(X1)|in(sk0_0(X1,sk0_57),X1)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3568,plain,(
% 0.20/0.57    ![X0,X1]: (sk0_57=empty_set|X0=set_meet(sk0_57)|in(sk0_13(X0,sk0_57),X0)|in(sk0_13(X0,sk0_57),ordered_pair(sk0_0(X1,sk0_57),sk0_1(X1,sk0_57)))|sk0_57=identity_relation(X1)|in(sk0_0(X1,sk0_57),X1))),
% 0.20/0.57    inference(resolution,[status(thm)],[f270,f1677])).
% 0.20/0.57  fof(f3569,plain,(
% 0.20/0.57    spl0_8|spl0_199),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3568,f919,f3565])).
% 0.20/0.57  fof(f3751,plain,(
% 0.20/0.57    spl0_220 <=> ~relation(relation_rng_restriction(X0,relation_inverse(sk0_57)))|subset(relation_dom(relation_rng_restriction(X0,relation_inverse(sk0_57))),relation_dom(relation_inverse(sk0_57)))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3754,plain,(
% 0.20/0.57    ![X0]: (~relation(relation_rng_restriction(X0,relation_inverse(sk0_57)))|~relation(relation_inverse(sk0_57))|subset(relation_dom(relation_rng_restriction(X0,relation_inverse(sk0_57))),relation_dom(relation_inverse(sk0_57))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f3212,f635])).
% 0.20/0.57  fof(f3755,plain,(
% 0.20/0.57    spl0_220|~spl0_189),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3754,f3751,f3388])).
% 0.20/0.57  fof(f3757,plain,(
% 0.20/0.57    spl0_221 <=> X0=relation_image(sk0_57,X1)|in(sk0_7(X0,X1,sk0_57),X0)|in(sk0_8(X0,X1,sk0_57),relation_dom(sk0_57))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3760,plain,(
% 0.20/0.57    ![X0,X1]: (X0=relation_image(sk0_57,X1)|in(sk0_7(X0,X1,sk0_57),X0)|~relation(sk0_57)|in(sk0_8(X0,X1,sk0_57),relation_dom(sk0_57)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f2462,f882])).
% 0.20/0.57  fof(f3761,plain,(
% 0.20/0.57    spl0_221|~spl0_102),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3760,f3757,f1828])).
% 0.20/0.57  fof(f3762,plain,(
% 0.20/0.57    spl0_222 <=> X0=relation_image(sk0_57,X1)|in(sk0_7(X0,X1,sk0_57),X0)|in(sk0_7(X0,X1,sk0_57),relation_image(sk0_57,X2))|~in(sk0_8(X0,X1,sk0_57),X2)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3765,plain,(
% 0.20/0.57    ![X0,X1,X2]: (X0=relation_image(sk0_57,X1)|in(sk0_7(X0,X1,sk0_57),X0)|~relation(sk0_57)|in(sk0_7(X0,X1,sk0_57),relation_image(sk0_57,X2))|~in(sk0_8(X0,X1,sk0_57),X2))),
% 0.20/0.57    inference(resolution,[status(thm)],[f2462,f859])).
% 0.20/0.57  fof(f3766,plain,(
% 0.20/0.57    spl0_222|~spl0_102),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3765,f3762,f1828])).
% 0.20/0.57  fof(f3767,plain,(
% 0.20/0.57    spl0_223 <=> X0=relation_image(sk0_57,X1)|in(sk0_7(X0,X1,sk0_57),X0)|X2=set_meet(sk0_57)|in(sk0_13(X2,sk0_57),X2)|in(sk0_13(X2,sk0_57),ordered_pair(sk0_8(X0,X1,sk0_57),sk0_7(X0,X1,sk0_57)))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3770,plain,(
% 0.20/0.57    ![X0,X1,X2]: (X0=relation_image(sk0_57,X1)|in(sk0_7(X0,X1,sk0_57),X0)|sk0_57=empty_set|X2=set_meet(sk0_57)|in(sk0_13(X2,sk0_57),X2)|in(sk0_13(X2,sk0_57),ordered_pair(sk0_8(X0,X1,sk0_57),sk0_7(X0,X1,sk0_57))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f2462,f270])).
% 0.20/0.57  fof(f3771,plain,(
% 0.20/0.57    spl0_223|spl0_8),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3770,f3767,f919])).
% 0.20/0.57  fof(f3772,plain,(
% 0.20/0.57    spl0_224 <=> X0=relation_image(sk0_57,X1)|in(sk0_7(X0,X1,sk0_57),X0)|ordered_pair(sk0_8(X0,X1,sk0_57),sk0_7(X0,X1,sk0_57))=ordered_pair(sk0_9(ordered_pair(sk0_8(X0,X1,sk0_57),sk0_7(X0,X1,sk0_57)),sk0_57),sk0_10(ordered_pair(sk0_8(X0,X1,sk0_57),sk0_7(X0,X1,sk0_57)),sk0_57))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3775,plain,(
% 0.20/0.57    ![X0,X1]: (X0=relation_image(sk0_57,X1)|in(sk0_7(X0,X1,sk0_57),X0)|~relation(sk0_57)|ordered_pair(sk0_8(X0,X1,sk0_57),sk0_7(X0,X1,sk0_57))=ordered_pair(sk0_9(ordered_pair(sk0_8(X0,X1,sk0_57),sk0_7(X0,X1,sk0_57)),sk0_57),sk0_10(ordered_pair(sk0_8(X0,X1,sk0_57),sk0_7(X0,X1,sk0_57)),sk0_57)))),
% 0.20/0.57    inference(resolution,[status(thm)],[f2462,f258])).
% 0.20/0.57  fof(f3776,plain,(
% 0.20/0.57    spl0_224|~spl0_102),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3775,f3772,f1828])).
% 0.20/0.57  fof(f3802,plain,(
% 0.20/0.57    spl0_226 <=> ~relation(relation_dom_restriction(relation_inverse(sk0_57),X0))|subset(relation_dom(relation_dom_restriction(relation_inverse(sk0_57),X0)),relation_dom(relation_inverse(sk0_57)))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3805,plain,(
% 0.20/0.57    ![X0]: (~relation(relation_dom_restriction(relation_inverse(sk0_57),X0))|~relation(relation_inverse(sk0_57))|subset(relation_dom(relation_dom_restriction(relation_inverse(sk0_57),X0)),relation_dom(relation_inverse(sk0_57))))),
% 0.20/0.57    inference(resolution,[status(thm)],[f3241,f635])).
% 0.20/0.57  fof(f3806,plain,(
% 0.20/0.57    spl0_226|~spl0_189),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3805,f3802,f3388])).
% 0.20/0.57  fof(f3809,plain,(
% 0.20/0.57    ![X0]: (set_difference(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57))=empty_set|~spl0_186)),
% 0.20/0.57    inference(resolution,[status(thm)],[f3259,f516])).
% 0.20/0.57  fof(f3812,plain,(
% 0.20/0.57    ![X0]: (set_intersection2(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57))=relation_dom(relation_dom_restriction(sk0_57,X0))|~spl0_186)),
% 0.20/0.57    inference(resolution,[status(thm)],[f3259,f641])).
% 0.20/0.57  fof(f3813,plain,(
% 0.20/0.57    ![X0]: (set_intersection2(relation_dom(sk0_57),relation_dom(relation_dom_restriction(sk0_57,X0)))=relation_dom(relation_dom_restriction(sk0_57,X0))|~spl0_186)),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f208,f3812])).
% 0.20/0.57  fof(f3814,plain,(
% 0.20/0.57    ![X0]: (set_union2(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57))=relation_dom(sk0_57)|~spl0_186)),
% 0.20/0.57    inference(resolution,[status(thm)],[f3259,f598])).
% 0.20/0.57  fof(f3815,plain,(
% 0.20/0.57    ![X0]: (set_union2(relation_dom(sk0_57),relation_dom(relation_dom_restriction(sk0_57,X0)))=relation_dom(sk0_57)|~spl0_186)),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f207,f3814])).
% 0.20/0.57  fof(f3818,plain,(
% 0.20/0.57    spl0_227 <=> ~relation(relation_dom(relation_dom_restriction(sk0_57,X0)))|subset(relation_dom(relation_dom(relation_dom_restriction(sk0_57,X0))),relation_dom(relation_dom(sk0_57)))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3821,plain,(
% 0.20/0.57    ![X0]: (~relation(relation_dom(relation_dom_restriction(sk0_57,X0)))|~relation(relation_dom(sk0_57))|subset(relation_dom(relation_dom(relation_dom_restriction(sk0_57,X0))),relation_dom(relation_dom(sk0_57)))|~spl0_186)),
% 0.20/0.57    inference(resolution,[status(thm)],[f3259,f635])).
% 0.20/0.57  fof(f3822,plain,(
% 0.20/0.57    spl0_227|~spl0_143|~spl0_186),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3821,f3818,f2559,f3254])).
% 0.20/0.57  fof(f3837,plain,(
% 0.20/0.57    spl0_229 <=> ~relation(relation_dom(relation_dom_restriction(sk0_57,X0)))|subset(relation_dom(set_difference(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57))),relation_dom(relation_dom(relation_dom_restriction(sk0_57,X0))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3840,plain,(
% 0.20/0.57    ![X0]: (~relation(empty_set)|~relation(relation_dom(relation_dom_restriction(sk0_57,X0)))|subset(relation_dom(set_difference(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57))),relation_dom(relation_dom(relation_dom_restriction(sk0_57,X0))))|~spl0_186)),
% 0.20/0.57    inference(paramodulation,[status(thm)],[f3809,f1442])).
% 0.20/0.57  fof(f3841,plain,(
% 0.20/0.57    ~spl0_6|spl0_229|~spl0_186),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3840,f910,f3837,f3254])).
% 0.20/0.57  fof(f3850,plain,(
% 0.20/0.57    spl0_230 <=> subset(relation_dom(relation_dom(sk0_57)),relation_dom(set_union2(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3853,plain,(
% 0.20/0.57    ![X0]: (~relation(relation_dom(sk0_57))|~relation(relation_dom(sk0_57))|subset(relation_dom(relation_dom(sk0_57)),relation_dom(set_union2(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57))))|~spl0_186)),
% 0.20/0.57    inference(paramodulation,[status(thm)],[f3815,f2082])).
% 0.20/0.57  fof(f3854,plain,(
% 0.20/0.57    ~spl0_143|spl0_230|~spl0_186),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3853,f2559,f3850,f3254])).
% 0.20/0.57  fof(f3855,plain,(
% 0.20/0.57    spl0_231 <=> ~relation(relation_dom(relation_dom_restriction(sk0_57,X0)))|subset(relation_dom(relation_dom(relation_dom_restriction(sk0_57,X0))),relation_dom(set_union2(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3858,plain,(
% 0.20/0.57    ![X0]: (~relation(relation_dom(relation_dom_restriction(sk0_57,X0)))|~relation(relation_dom(sk0_57))|subset(relation_dom(relation_dom(relation_dom_restriction(sk0_57,X0))),relation_dom(set_union2(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57))))|~spl0_186)),
% 0.20/0.57    inference(paramodulation,[status(thm)],[f3815,f2077])).
% 0.20/0.57  fof(f3859,plain,(
% 0.20/0.57    spl0_231|~spl0_143|~spl0_186),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3858,f3855,f2559,f3254])).
% 0.20/0.57  fof(f3860,plain,(
% 0.20/0.57    spl0_232 <=> ~relation(relation_dom(relation_dom_restriction(sk0_57,X0)))|subset(relation_dom(relation_dom(relation_dom_restriction(sk0_57,X0))),relation_dom(set_union2(relation_dom(sk0_57),relation_dom(relation_dom_restriction(sk0_57,X0)))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3863,plain,(
% 0.20/0.57    ![X0]: (~relation(relation_dom(relation_dom_restriction(sk0_57,X0)))|~relation(relation_dom(sk0_57))|subset(relation_dom(relation_dom(relation_dom_restriction(sk0_57,X0))),relation_dom(set_union2(relation_dom(sk0_57),relation_dom(relation_dom_restriction(sk0_57,X0)))))|~spl0_186)),
% 0.20/0.57    inference(paramodulation,[status(thm)],[f3815,f1464])).
% 0.20/0.57  fof(f3864,plain,(
% 0.20/0.57    spl0_232|~spl0_143|~spl0_186),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3863,f3860,f2559,f3254])).
% 0.20/0.57  fof(f3865,plain,(
% 0.20/0.57    spl0_233 <=> subset(relation_dom(relation_dom(sk0_57)),relation_dom(set_union2(relation_dom(sk0_57),relation_dom(relation_dom_restriction(sk0_57,X0)))))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3868,plain,(
% 0.20/0.57    ![X0]: (~relation(relation_dom(sk0_57))|~relation(relation_dom(sk0_57))|subset(relation_dom(relation_dom(sk0_57)),relation_dom(set_union2(relation_dom(sk0_57),relation_dom(relation_dom_restriction(sk0_57,X0)))))|~spl0_186)),
% 0.20/0.57    inference(paramodulation,[status(thm)],[f3815,f1450])).
% 0.20/0.57  fof(f3869,plain,(
% 0.20/0.57    ~spl0_143|spl0_233|~spl0_186),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3868,f2559,f3865,f3254])).
% 0.20/0.57  fof(f3917,plain,(
% 0.20/0.57    spl0_239 <=> ~relation(relation_dom(relation_dom_restriction(sk0_57,X0)))|subset(relation_dom(set_intersection2(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57))),relation_dom(relation_dom(sk0_57)))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3920,plain,(
% 0.20/0.57    ![X0]: (~relation(relation_dom(relation_dom_restriction(sk0_57,X0)))|~relation(relation_dom(sk0_57))|subset(relation_dom(set_intersection2(relation_dom(relation_dom_restriction(sk0_57,X0)),relation_dom(sk0_57))),relation_dom(relation_dom(sk0_57)))|~spl0_186)),
% 0.20/0.57    inference(paramodulation,[status(thm)],[f3813,f2087])).
% 0.20/0.57  fof(f3921,plain,(
% 0.20/0.57    spl0_239|~spl0_143|~spl0_186),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3920,f3917,f2559,f3254])).
% 0.20/0.57  fof(f3929,plain,(
% 0.20/0.57    spl0_240 <=> ~relation(relation_dom(relation_dom_restriction(sk0_57,X0)))|subset(relation_dom(set_intersection2(relation_dom(sk0_57),relation_dom(relation_dom_restriction(sk0_57,X0)))),relation_dom(relation_dom(sk0_57)))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f3932,plain,(
% 0.20/0.57    ![X0]: (~relation(relation_dom(relation_dom_restriction(sk0_57,X0)))|~relation(relation_dom(sk0_57))|subset(relation_dom(set_intersection2(relation_dom(sk0_57),relation_dom(relation_dom_restriction(sk0_57,X0)))),relation_dom(relation_dom(sk0_57)))|~spl0_186)),
% 0.20/0.57    inference(paramodulation,[status(thm)],[f3813,f1440])).
% 0.20/0.57  fof(f3933,plain,(
% 0.20/0.57    spl0_240|~spl0_143|~spl0_186),
% 0.20/0.57    inference(split_clause,[status(thm)],[f3932,f3929,f2559,f3254])).
% 0.20/0.57  fof(f3993,plain,(
% 0.20/0.57    ~empty(relation_rng(empty_set))|~spl0_8|spl0_190),
% 0.20/0.57    inference(backward_demodulation,[status(thm)],[f920,f3393])).
% 0.20/0.57  fof(f3994,plain,(
% 0.20/0.57    ~empty(empty_set)|~spl0_11|~spl0_8|spl0_190),
% 0.20/0.57    inference(forward_demodulation,[status(thm)],[f942,f3993])).
% 0.20/0.57  fof(f3995,plain,(
% 0.20/0.57    $false|~spl0_15|~spl0_11|~spl0_8|spl0_190),
% 0.20/0.57    inference(forward_subsumption_resolution,[status(thm)],[f3994,f992])).
% 0.20/0.57  fof(f3996,plain,(
% 0.20/0.57    ~spl0_15|~spl0_11|~spl0_8|spl0_190),
% 0.20/0.57    inference(contradiction_clause,[status(thm)],[f3995])).
% 0.20/0.57  fof(f4151,plain,(
% 0.20/0.57    spl0_241 <=> X0=relation_image(sk0_57,X1)|in(sk0_8(X0,X1,sk0_57),X1)|X0=relation_image(sk0_57,X1)|~in(ordered_pair(X2,sk0_7(X0,X1,sk0_57)),sk0_57)|~in(X2,X1)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f4154,plain,(
% 0.20/0.57    ![X0,X1,X2]: (X0=relation_image(sk0_57,X1)|in(sk0_8(X0,X1,sk0_57),X1)|~relation(sk0_57)|X0=relation_image(sk0_57,X1)|~in(ordered_pair(X2,sk0_7(X0,X1,sk0_57)),sk0_57)|~in(X2,X1))),
% 0.20/0.57    inference(resolution,[status(thm)],[f2466,f251])).
% 0.20/0.57  fof(f4155,plain,(
% 0.20/0.57    spl0_241|~spl0_102),
% 0.20/0.57    inference(split_clause,[status(thm)],[f4154,f4151,f1828])).
% 0.20/0.57  fof(f4203,plain,(
% 0.20/0.57    spl0_242 <=> in(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),relation_dom(sk0_57))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f4206,plain,(
% 0.20/0.57    ~in(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),relation_dom(sk0_57))|~in(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),sk0_59)|~spl0_127|~spl0_4),
% 0.20/0.57    inference(resolution,[status(thm)],[f2455,f843])).
% 0.20/0.57  fof(f4207,plain,(
% 0.20/0.57    ~spl0_242|~spl0_187|~spl0_127|~spl0_4),
% 0.20/0.57    inference(split_clause,[status(thm)],[f4206,f4203,f3266,f2454,f842])).
% 0.20/0.57  fof(f4208,plain,(
% 0.20/0.57    ~relation(sk0_57)|in(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),relation_dom(sk0_57))|~spl0_127),
% 0.20/0.57    inference(resolution,[status(thm)],[f2455,f882])).
% 0.20/0.57  fof(f4209,plain,(
% 0.20/0.57    ~spl0_102|spl0_242|~spl0_127),
% 0.20/0.57    inference(split_clause,[status(thm)],[f4208,f1828,f4203,f2454])).
% 0.20/0.57  fof(f4210,plain,(
% 0.20/0.57    spl0_243 <=> in(sk0_58,relation_image(sk0_57,X0))|~in(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),X0)),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f4213,plain,(
% 0.20/0.57    ![X0]: (~relation(sk0_57)|in(sk0_58,relation_image(sk0_57,X0))|~in(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),X0)|~spl0_127)),
% 0.20/0.57    inference(resolution,[status(thm)],[f2455,f859])).
% 0.20/0.57  fof(f4214,plain,(
% 0.20/0.57    ~spl0_102|spl0_243|~spl0_127),
% 0.20/0.57    inference(split_clause,[status(thm)],[f4213,f1828,f4210,f2454])).
% 0.20/0.57  fof(f4215,plain,(
% 0.20/0.57    spl0_244 <=> X0=set_meet(sk0_57)|in(sk0_13(X0,sk0_57),X0)|in(sk0_13(X0,sk0_57),ordered_pair(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),sk0_58))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f4218,plain,(
% 0.20/0.57    ![X0]: (sk0_57=empty_set|X0=set_meet(sk0_57)|in(sk0_13(X0,sk0_57),X0)|in(sk0_13(X0,sk0_57),ordered_pair(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),sk0_58))|~spl0_127)),
% 0.20/0.57    inference(resolution,[status(thm)],[f2455,f270])).
% 0.20/0.57  fof(f4219,plain,(
% 0.20/0.57    spl0_8|spl0_244|~spl0_127),
% 0.20/0.57    inference(split_clause,[status(thm)],[f4218,f919,f4215,f2454])).
% 0.20/0.57  fof(f4220,plain,(
% 0.20/0.57    spl0_245 <=> ordered_pair(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),sk0_58)=ordered_pair(sk0_9(ordered_pair(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),sk0_58),sk0_57),sk0_10(ordered_pair(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),sk0_58),sk0_57))),
% 0.20/0.57    introduced(split_symbol_definition)).
% 0.20/0.57  fof(f4223,plain,(
% 0.20/0.57    ~relation(sk0_57)|ordered_pair(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),sk0_58)=ordered_pair(sk0_9(ordered_pair(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),sk0_58),sk0_57),sk0_10(ordered_pair(sk0_6(sk0_58,relation_image(sk0_57,sk0_59),sk0_59,sk0_57),sk0_58),sk0_57))|~spl0_127),
% 0.20/0.57    inference(resolution,[status(thm)],[f2455,f258])).
% 0.20/0.58  fof(f4224,plain,(
% 0.20/0.58    ~spl0_102|spl0_245|~spl0_127),
% 0.20/0.58    inference(split_clause,[status(thm)],[f4223,f1828,f4220,f2454])).
% 0.20/0.58  fof(f4235,plain,(
% 0.20/0.58    $false),
% 0.20/0.58    inference(sat_refutation,[status(thm)],[f833,f837,f841,f845,f923,f928,f930,f955,f976,f981,f989,f1003,f1005,f1025,f1027,f1035,f1039,f1049,f1051,f1059,f1063,f1073,f1075,f1083,f1087,f1097,f1099,f1107,f1111,f1121,f1123,f1131,f1135,f1145,f1147,f1155,f1159,f1169,f1171,f1179,f1183,f1193,f1195,f1203,f1207,f1217,f1219,f1227,f1231,f1241,f1243,f1251,f1255,f1265,f1267,f1275,f1279,f1289,f1291,f1299,f1303,f1323,f1327,f1329,f1353,f1358,f1387,f1399,f1426,f1428,f1439,f1550,f1552,f1557,f1778,f1780,f1785,f1813,f1827,f1837,f1843,f1852,f1857,f1862,f1878,f1883,f1888,f1954,f1959,f1964,f1971,f1983,f1988,f1993,f2000,f2370,f2458,f2996,f3019,f3027,f3030,f3147,f3258,f3270,f3395,f3397,f3404,f3411,f3487,f3492,f3564,f3569,f3755,f3761,f3766,f3771,f3776,f3806,f3822,f3841,f3854,f3859,f3864,f3869,f3921,f3933,f3996,f4155,f4207,f4209,f4214,f4219,f4224])).
% 0.20/0.58  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.58  % Elapsed time: 0.236124 seconds
% 0.20/0.58  % CPU time: 1.674886 seconds
% 0.20/0.58  % Memory used: 86.098 MB
%------------------------------------------------------------------------------