TSTP Solution File: SEU206+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU206+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:36:15 EDT 2023
% Result : Theorem 5.22s 1.05s
% Output : CNFRefutation 5.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU206+1 : 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 : n005.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 09:09:36 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 5.22/1.05 % Refutation found
% 5.22/1.05 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.22/1.05 % SZS output start CNFRefutation for theBenchmark
% 5.22/1.05 fof(f4,axiom,(
% 5.22/1.05 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f5,axiom,(
% 5.22/1.05 (! [A] :( relation(A)=> (! [B,C] :( C = relation_image(A,B)<=> (! [D] :( in(D,C)<=> (? [E] :( in(ordered_pair(E,D),A)& in(E,B) ) )) )) )) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f6,axiom,(
% 5.22/1.05 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f7,axiom,(
% 5.22/1.05 (! [A] :( relation(A)=> (! [B] :( B = relation_dom(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(C,D),A) )) )) )) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f8,axiom,(
% 5.22/1.05 (! [A] :( relation(A)=> (! [B] :( B = relation_rng(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(D,C),A) )) )) )) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f21,axiom,(
% 5.22/1.05 empty(empty_set) ),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f25,axiom,(
% 5.22/1.05 ( empty(empty_set)& relation(empty_set) ) ),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f26,axiom,(
% 5.22/1.05 (! [A] :( ( ~ empty(A)& relation(A) )=> ~ empty(relation_dom(A)) ) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f27,axiom,(
% 5.22/1.05 (! [A] :( ( ~ empty(A)& relation(A) )=> ~ empty(relation_rng(A)) ) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f28,axiom,(
% 5.22/1.05 (! [A] :( empty(A)=> ( empty(relation_dom(A))& relation(relation_dom(A)) ) ) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f29,axiom,(
% 5.22/1.05 (! [A] :( empty(A)=> ( empty(relation_rng(A))& relation(relation_rng(A)) ) ) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f30,axiom,(
% 5.22/1.05 (? [A] :( empty(A)& relation(A) ) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f32,axiom,(
% 5.22/1.05 (? [A] : empty(A) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f33,axiom,(
% 5.22/1.05 (? [A] :( ~ empty(A)& relation(A) ) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f37,axiom,(
% 5.22/1.05 (! [A,B] :( relation(B)=> subset(relation_image(B,A),relation_rng(B)) ) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f38,conjecture,(
% 5.22/1.05 (! [A] :( relation(A)=> relation_image(A,relation_dom(A)) = relation_rng(A) ) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f39,negated_conjecture,(
% 5.22/1.05 ~((! [A] :( relation(A)=> relation_image(A,relation_dom(A)) = relation_rng(A) ) ))),
% 5.22/1.05 inference(negated_conjecture,[status(cth)],[f38])).
% 5.22/1.05 fof(f47,axiom,(
% 5.22/1.05 (! [A,B] :~ ( empty(A)& A != B& empty(B) ) )),
% 5.22/1.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.05 fof(f53,plain,(
% 5.22/1.05 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 5.22/1.05 inference(NNF_transformation,[status(esa)],[f4])).
% 5.22/1.05 fof(f54,plain,(
% 5.22/1.05 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 5.22/1.05 inference(miniscoping,[status(esa)],[f53])).
% 5.22/1.05 fof(f57,plain,(
% 5.22/1.05 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f54])).
% 5.22/1.05 fof(f58,plain,(
% 5.22/1.05 ![A]: (~relation(A)|(![B,C]: (C=relation_image(A,B)<=>(![D]: (in(D,C)<=>(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))),
% 5.22/1.05 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 5.22/1.05 fof(f59,plain,(
% 5.22/1.05 ![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))))))))))),
% 5.22/1.05 inference(NNF_transformation,[status(esa)],[f58])).
% 5.22/1.05 fof(f60,plain,(
% 5.22/1.05 ![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))))))))))),
% 5.22/1.05 inference(miniscoping,[status(esa)],[f59])).
% 5.22/1.05 fof(f61,plain,(
% 5.22/1.05 ![A]: (~relation(A)|((![B,C]: (~C=relation_image(A,B)|((![D]: (~in(D,C)|(in(ordered_pair(sk0_0(D,C,B,A),D),A)&in(sk0_0(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_1(C,B,A),C)|(![E]: (~in(ordered_pair(E,sk0_1(C,B,A)),A)|~in(E,B))))&(in(sk0_1(C,B,A),C)|(in(ordered_pair(sk0_2(C,B,A),sk0_1(C,B,A)),A)&in(sk0_2(C,B,A),B))))))))),
% 5.22/1.05 inference(skolemization,[status(esa)],[f60])).
% 5.22/1.05 fof(f62,plain,(
% 5.22/1.05 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_image(X0,X2)|~in(X3,X1)|in(ordered_pair(sk0_0(X3,X1,X2,X0),X3),X0))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f61])).
% 5.22/1.05 fof(f63,plain,(
% 5.22/1.05 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_image(X0,X2)|~in(X3,X1)|in(sk0_0(X3,X1,X2,X0),X2))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f61])).
% 5.22/1.05 fof(f64,plain,(
% 5.22/1.05 ![X0,X1,X2,X3,X4]: (~relation(X0)|~X1=relation_image(X0,X2)|in(X3,X1)|~in(ordered_pair(X4,X3),X0)|~in(X4,X2))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f61])).
% 5.22/1.05 fof(f66,plain,(
% 5.22/1.05 ![X0,X1,X2]: (~relation(X0)|X1=relation_image(X0,X2)|in(sk0_1(X1,X2,X0),X1)|in(ordered_pair(sk0_2(X1,X2,X0),sk0_1(X1,X2,X0)),X0))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f61])).
% 5.22/1.05 fof(f67,plain,(
% 5.22/1.05 ![X0,X1,X2]: (~relation(X0)|X1=relation_image(X0,X2)|in(sk0_1(X1,X2,X0),X1)|in(sk0_2(X1,X2,X0),X2))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f61])).
% 5.22/1.05 fof(f68,plain,(
% 5.22/1.05 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 5.22/1.05 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 5.22/1.05 fof(f69,plain,(
% 5.22/1.05 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 5.22/1.05 inference(NNF_transformation,[status(esa)],[f68])).
% 5.22/1.05 fof(f70,plain,(
% 5.22/1.05 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 5.22/1.05 inference(miniscoping,[status(esa)],[f69])).
% 5.22/1.05 fof(f71,plain,(
% 5.22/1.05 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sk0_3(B,A),A)&~in(sk0_3(B,A),B))))),
% 5.22/1.05 inference(skolemization,[status(esa)],[f70])).
% 5.22/1.05 fof(f72,plain,(
% 5.22/1.05 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f71])).
% 5.22/1.05 fof(f75,plain,(
% 5.22/1.05 ![A]: (~relation(A)|(![B]: (B=relation_dom(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(C,D),A)))))))),
% 5.22/1.05 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 5.22/1.05 fof(f76,plain,(
% 5.22/1.05 ![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)))))))))),
% 5.22/1.05 inference(NNF_transformation,[status(esa)],[f75])).
% 5.22/1.05 fof(f77,plain,(
% 5.22/1.05 ![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)))))))))),
% 5.22/1.05 inference(miniscoping,[status(esa)],[f76])).
% 5.22/1.05 fof(f78,plain,(
% 5.22/1.05 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|in(ordered_pair(C,sk0_4(C,B,A)),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|((~in(sk0_5(B,A),B)|(![D]: ~in(ordered_pair(sk0_5(B,A),D),A)))&(in(sk0_5(B,A),B)|in(ordered_pair(sk0_5(B,A),sk0_6(B,A)),A)))))))),
% 5.22/1.05 inference(skolemization,[status(esa)],[f77])).
% 5.22/1.05 fof(f79,plain,(
% 5.22/1.05 ![X0,X1,X2]: (~relation(X0)|~X1=relation_dom(X0)|~in(X2,X1)|in(ordered_pair(X2,sk0_4(X2,X1,X0)),X0))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f78])).
% 5.22/1.05 fof(f80,plain,(
% 5.22/1.05 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_dom(X0)|in(X2,X1)|~in(ordered_pair(X2,X3),X0))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f78])).
% 5.22/1.05 fof(f82,plain,(
% 5.22/1.05 ![X0,X1]: (~relation(X0)|X1=relation_dom(X0)|in(sk0_5(X1,X0),X1)|in(ordered_pair(sk0_5(X1,X0),sk0_6(X1,X0)),X0))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f78])).
% 5.22/1.05 fof(f83,plain,(
% 5.22/1.05 ![A]: (~relation(A)|(![B]: (B=relation_rng(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(D,C),A)))))))),
% 5.22/1.05 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 5.22/1.05 fof(f84,plain,(
% 5.22/1.05 ![A]: (~relation(A)|(![B]: ((~B=relation_rng(A)|(![C]: ((~in(C,B)|(?[D]: in(ordered_pair(D,C),A)))&(in(C,B)|(![D]: ~in(ordered_pair(D,C),A))))))&(B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]: in(ordered_pair(D,C),A)))))))))),
% 5.22/1.05 inference(NNF_transformation,[status(esa)],[f83])).
% 5.22/1.05 fof(f85,plain,(
% 5.22/1.05 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(D,C),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]: in(ordered_pair(D,C),A)))))))))),
% 5.22/1.05 inference(miniscoping,[status(esa)],[f84])).
% 5.22/1.05 fof(f86,plain,(
% 5.22/1.05 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|in(ordered_pair(sk0_7(C,B,A),C),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|((~in(sk0_8(B,A),B)|(![D]: ~in(ordered_pair(D,sk0_8(B,A)),A)))&(in(sk0_8(B,A),B)|in(ordered_pair(sk0_9(B,A),sk0_8(B,A)),A)))))))),
% 5.22/1.05 inference(skolemization,[status(esa)],[f85])).
% 5.22/1.05 fof(f87,plain,(
% 5.22/1.05 ![X0,X1,X2]: (~relation(X0)|~X1=relation_rng(X0)|~in(X2,X1)|in(ordered_pair(sk0_7(X2,X1,X0),X2),X0))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f86])).
% 5.22/1.05 fof(f88,plain,(
% 5.22/1.05 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_rng(X0)|in(X2,X1)|~in(ordered_pair(X3,X2),X0))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f86])).
% 5.22/1.05 fof(f89,plain,(
% 5.22/1.05 ![X0,X1,X2]: (~relation(X0)|X1=relation_rng(X0)|~in(sk0_8(X1,X0),X1)|~in(ordered_pair(X2,sk0_8(X1,X0)),X0))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f86])).
% 5.22/1.05 fof(f90,plain,(
% 5.22/1.05 ![X0,X1]: (~relation(X0)|X1=relation_rng(X0)|in(sk0_8(X1,X0),X1)|in(ordered_pair(sk0_9(X1,X0),sk0_8(X1,X0)),X0))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f86])).
% 5.22/1.05 fof(f95,plain,(
% 5.22/1.05 empty(empty_set)),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f21])).
% 5.22/1.05 fof(f100,plain,(
% 5.22/1.05 relation(empty_set)),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f25])).
% 5.22/1.05 fof(f101,plain,(
% 5.22/1.05 ![A]: ((empty(A)|~relation(A))|~empty(relation_dom(A)))),
% 5.22/1.05 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 5.22/1.05 fof(f102,plain,(
% 5.22/1.05 ![X0]: (empty(X0)|~relation(X0)|~empty(relation_dom(X0)))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f101])).
% 5.22/1.05 fof(f103,plain,(
% 5.22/1.05 ![A]: ((empty(A)|~relation(A))|~empty(relation_rng(A)))),
% 5.22/1.05 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 5.22/1.05 fof(f104,plain,(
% 5.22/1.05 ![X0]: (empty(X0)|~relation(X0)|~empty(relation_rng(X0)))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f103])).
% 5.22/1.05 fof(f105,plain,(
% 5.22/1.05 ![A]: (~empty(A)|(empty(relation_dom(A))&relation(relation_dom(A))))),
% 5.22/1.05 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 5.22/1.05 fof(f106,plain,(
% 5.22/1.05 ![X0]: (~empty(X0)|empty(relation_dom(X0)))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f105])).
% 5.22/1.05 fof(f107,plain,(
% 5.22/1.05 ![X0]: (~empty(X0)|relation(relation_dom(X0)))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f105])).
% 5.22/1.05 fof(f108,plain,(
% 5.22/1.05 ![A]: (~empty(A)|(empty(relation_rng(A))&relation(relation_rng(A))))),
% 5.22/1.05 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 5.22/1.05 fof(f109,plain,(
% 5.22/1.05 ![X0]: (~empty(X0)|empty(relation_rng(X0)))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f108])).
% 5.22/1.05 fof(f110,plain,(
% 5.22/1.05 ![X0]: (~empty(X0)|relation(relation_rng(X0)))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f108])).
% 5.22/1.05 fof(f111,plain,(
% 5.22/1.05 (empty(sk0_11)&relation(sk0_11))),
% 5.22/1.05 inference(skolemization,[status(esa)],[f30])).
% 5.22/1.05 fof(f112,plain,(
% 5.22/1.05 empty(sk0_11)),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f111])).
% 5.22/1.05 fof(f118,plain,(
% 5.22/1.05 empty(sk0_13)),
% 5.22/1.05 inference(skolemization,[status(esa)],[f32])).
% 5.22/1.05 fof(f119,plain,(
% 5.22/1.05 empty(sk0_13)),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f118])).
% 5.22/1.05 fof(f120,plain,(
% 5.22/1.05 (~empty(sk0_14)&relation(sk0_14))),
% 5.22/1.05 inference(skolemization,[status(esa)],[f33])).
% 5.22/1.05 fof(f121,plain,(
% 5.22/1.05 ~empty(sk0_14)),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f120])).
% 5.22/1.05 fof(f122,plain,(
% 5.22/1.05 relation(sk0_14)),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f120])).
% 5.22/1.05 fof(f130,plain,(
% 5.22/1.05 ![A,B]: (~relation(B)|subset(relation_image(B,A),relation_rng(B)))),
% 5.22/1.05 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 5.22/1.05 fof(f131,plain,(
% 5.22/1.05 ![B]: (~relation(B)|(![A]: subset(relation_image(B,A),relation_rng(B))))),
% 5.22/1.05 inference(miniscoping,[status(esa)],[f130])).
% 5.22/1.05 fof(f132,plain,(
% 5.22/1.05 ![X0,X1]: (~relation(X0)|subset(relation_image(X0,X1),relation_rng(X0)))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f131])).
% 5.22/1.05 fof(f133,plain,(
% 5.22/1.05 (?[A]: (relation(A)&~relation_image(A,relation_dom(A))=relation_rng(A)))),
% 5.22/1.05 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 5.22/1.05 fof(f134,plain,(
% 5.22/1.05 (relation(sk0_17)&~relation_image(sk0_17,relation_dom(sk0_17))=relation_rng(sk0_17))),
% 5.22/1.05 inference(skolemization,[status(esa)],[f133])).
% 5.22/1.05 fof(f135,plain,(
% 5.22/1.05 relation(sk0_17)),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f134])).
% 5.22/1.05 fof(f136,plain,(
% 5.22/1.05 ~relation_image(sk0_17,relation_dom(sk0_17))=relation_rng(sk0_17)),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f134])).
% 5.22/1.05 fof(f156,plain,(
% 5.22/1.05 ![A,B]: ((~empty(A)|A=B)|~empty(B))),
% 5.22/1.05 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 5.22/1.05 fof(f157,plain,(
% 5.22/1.05 ![B]: ((![A]: (~empty(A)|A=B))|~empty(B))),
% 5.22/1.05 inference(miniscoping,[status(esa)],[f156])).
% 5.22/1.05 fof(f158,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=X1|~empty(X1))),
% 5.22/1.05 inference(cnf_transformation,[status(esa)],[f157])).
% 5.22/1.05 fof(f161,plain,(
% 5.22/1.05 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,X2))|in(ordered_pair(sk0_0(X1,relation_image(X0,X2),X2,X0),X1),X0))),
% 5.22/1.05 inference(destructive_equality_resolution,[status(esa)],[f62])).
% 5.22/1.05 fof(f162,plain,(
% 5.22/1.05 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,X2))|in(sk0_0(X1,relation_image(X0,X2),X2,X0),X2))),
% 5.22/1.05 inference(destructive_equality_resolution,[status(esa)],[f63])).
% 5.22/1.05 fof(f163,plain,(
% 5.22/1.05 ![X0,X1,X2,X3]: (~relation(X0)|in(X1,relation_image(X0,X2))|~in(ordered_pair(X3,X1),X0)|~in(X3,X2))),
% 5.22/1.05 inference(destructive_equality_resolution,[status(esa)],[f64])).
% 5.22/1.05 fof(f164,plain,(
% 5.22/1.05 ![X0,X1]: (~relation(X0)|~in(X1,relation_dom(X0))|in(ordered_pair(X1,sk0_4(X1,relation_dom(X0),X0)),X0))),
% 5.22/1.05 inference(destructive_equality_resolution,[status(esa)],[f79])).
% 5.22/1.05 fof(f165,plain,(
% 5.22/1.05 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_dom(X0))|~in(ordered_pair(X1,X2),X0))),
% 5.22/1.05 inference(destructive_equality_resolution,[status(esa)],[f80])).
% 5.22/1.05 fof(f166,plain,(
% 5.22/1.05 ![X0,X1]: (~relation(X0)|~in(X1,relation_rng(X0))|in(ordered_pair(sk0_7(X1,relation_rng(X0),X0),X1),X0))),
% 5.22/1.05 inference(destructive_equality_resolution,[status(esa)],[f87])).
% 5.22/1.05 fof(f167,plain,(
% 5.22/1.05 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_rng(X0))|~in(ordered_pair(X2,X1),X0))),
% 5.22/1.05 inference(destructive_equality_resolution,[status(esa)],[f88])).
% 5.22/1.05 fof(f168,plain,(
% 5.22/1.05 spl0_0 <=> relation(sk0_14)),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f170,plain,(
% 5.22/1.05 ~relation(sk0_14)|spl0_0),
% 5.22/1.05 inference(component_clause,[status(thm)],[f168])).
% 5.22/1.05 fof(f171,plain,(
% 5.22/1.05 spl0_1 <=> empty(relation_rng(sk0_14))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f174,plain,(
% 5.22/1.05 ~relation(sk0_14)|~empty(relation_rng(sk0_14))),
% 5.22/1.05 inference(resolution,[status(thm)],[f121,f104])).
% 5.22/1.05 fof(f175,plain,(
% 5.22/1.05 ~spl0_0|~spl0_1),
% 5.22/1.05 inference(split_clause,[status(thm)],[f174,f168,f171])).
% 5.22/1.05 fof(f176,plain,(
% 5.22/1.05 spl0_2 <=> empty(relation_dom(sk0_14))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f179,plain,(
% 5.22/1.05 ~relation(sk0_14)|~empty(relation_dom(sk0_14))),
% 5.22/1.05 inference(resolution,[status(thm)],[f121,f102])).
% 5.22/1.05 fof(f180,plain,(
% 5.22/1.05 ~spl0_0|~spl0_2),
% 5.22/1.05 inference(split_clause,[status(thm)],[f179,f168,f176])).
% 5.22/1.05 fof(f784,plain,(
% 5.22/1.05 $false|spl0_0),
% 5.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f122,f170])).
% 5.22/1.05 fof(f785,plain,(
% 5.22/1.05 spl0_0),
% 5.22/1.05 inference(contradiction_clause,[status(thm)],[f784])).
% 5.22/1.05 fof(f802,plain,(
% 5.22/1.05 ![X0]: (~empty(X0)|X0=sk0_13)),
% 5.22/1.05 inference(resolution,[status(thm)],[f158,f119])).
% 5.22/1.05 fof(f805,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_rng(X1)|~empty(X1))),
% 5.22/1.05 inference(resolution,[status(thm)],[f158,f109])).
% 5.22/1.05 fof(f806,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_dom(X1)|~empty(X1))),
% 5.22/1.05 inference(resolution,[status(thm)],[f158,f106])).
% 5.22/1.05 fof(f807,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=X1|~relation(X1)|~empty(relation_rng(X1)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f158,f104])).
% 5.22/1.05 fof(f809,plain,(
% 5.22/1.05 sk0_11=sk0_13),
% 5.22/1.05 inference(resolution,[status(thm)],[f802,f112])).
% 5.22/1.05 fof(f811,plain,(
% 5.22/1.05 ![X0]: (relation_rng(X0)=sk0_13|~empty(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f802,f109])).
% 5.22/1.05 fof(f812,plain,(
% 5.22/1.05 ![X0]: (relation_dom(X0)=sk0_13|~empty(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f802,f106])).
% 5.22/1.05 fof(f813,plain,(
% 5.22/1.05 ![X0]: (X0=sk0_13|~relation(X0)|~empty(relation_rng(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f802,f104])).
% 5.22/1.05 fof(f822,plain,(
% 5.22/1.05 ![X0]: (relation_rng(X0)=sk0_11|~empty(X0))),
% 5.22/1.05 inference(forward_demodulation,[status(thm)],[f809,f811])).
% 5.22/1.05 fof(f824,plain,(
% 5.22/1.05 relation_rng(empty_set)=sk0_11),
% 5.22/1.05 inference(resolution,[status(thm)],[f822,f95])).
% 5.22/1.05 fof(f825,plain,(
% 5.22/1.05 ![X0]: (relation_rng(relation_rng(X0))=sk0_11|~empty(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f822,f109])).
% 5.22/1.05 fof(f826,plain,(
% 5.22/1.05 ![X0]: (relation_rng(relation_dom(X0))=sk0_11|~empty(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f822,f106])).
% 5.22/1.05 fof(f828,plain,(
% 5.22/1.05 ![X0]: (relation_rng(X0)=sk0_11|~relation(X0)|~empty(relation_dom(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f822,f102])).
% 5.22/1.05 fof(f829,plain,(
% 5.22/1.05 spl0_120 <=> relation(empty_set)),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f831,plain,(
% 5.22/1.05 ~relation(empty_set)|spl0_120),
% 5.22/1.05 inference(component_clause,[status(thm)],[f829])).
% 5.22/1.05 fof(f832,plain,(
% 5.22/1.05 spl0_121 <=> subset(relation_image(empty_set,X0),sk0_11)),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f835,plain,(
% 5.22/1.05 ![X0]: (~relation(empty_set)|subset(relation_image(empty_set,X0),sk0_11))),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f824,f132])).
% 5.22/1.05 fof(f836,plain,(
% 5.22/1.05 ~spl0_120|spl0_121),
% 5.22/1.05 inference(split_clause,[status(thm)],[f835,f829,f832])).
% 5.22/1.05 fof(f837,plain,(
% 5.22/1.05 spl0_122 <=> empty(empty_set)),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f839,plain,(
% 5.22/1.05 ~empty(empty_set)|spl0_122),
% 5.22/1.05 inference(component_clause,[status(thm)],[f837])).
% 5.22/1.05 fof(f840,plain,(
% 5.22/1.05 spl0_123 <=> relation(sk0_11)),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f843,plain,(
% 5.22/1.05 ~empty(empty_set)|relation(sk0_11)),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f824,f110])).
% 5.22/1.05 fof(f844,plain,(
% 5.22/1.05 ~spl0_122|spl0_123),
% 5.22/1.05 inference(split_clause,[status(thm)],[f843,f837,f840])).
% 5.22/1.05 fof(f845,plain,(
% 5.22/1.05 spl0_124 <=> empty(sk0_11)),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f848,plain,(
% 5.22/1.05 ~empty(empty_set)|empty(sk0_11)),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f824,f109])).
% 5.22/1.05 fof(f849,plain,(
% 5.22/1.05 ~spl0_122|spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f848,f837,f845])).
% 5.22/1.05 fof(f850,plain,(
% 5.22/1.05 $false|spl0_120),
% 5.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f831,f100])).
% 5.22/1.05 fof(f851,plain,(
% 5.22/1.05 spl0_120),
% 5.22/1.05 inference(contradiction_clause,[status(thm)],[f850])).
% 5.22/1.05 fof(f852,plain,(
% 5.22/1.05 $false|spl0_122),
% 5.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f839,f95])).
% 5.22/1.05 fof(f853,plain,(
% 5.22/1.05 spl0_122),
% 5.22/1.05 inference(contradiction_clause,[status(thm)],[f852])).
% 5.22/1.05 fof(f854,plain,(
% 5.22/1.05 ![X0]: (relation_dom(X0)=sk0_11|~empty(X0))),
% 5.22/1.05 inference(forward_demodulation,[status(thm)],[f809,f812])).
% 5.22/1.05 fof(f856,plain,(
% 5.22/1.05 relation_dom(empty_set)=sk0_11),
% 5.22/1.05 inference(resolution,[status(thm)],[f854,f95])).
% 5.22/1.05 fof(f857,plain,(
% 5.22/1.05 ![X0]: (relation_dom(relation_rng(X0))=sk0_11|~empty(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f854,f109])).
% 5.22/1.05 fof(f858,plain,(
% 5.22/1.05 ![X0]: (relation_dom(relation_dom(X0))=sk0_11|~empty(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f854,f106])).
% 5.22/1.05 fof(f859,plain,(
% 5.22/1.05 ![X0]: (relation_dom(X0)=sk0_11|~relation(X0)|~empty(relation_rng(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f854,f104])).
% 5.22/1.05 fof(f865,plain,(
% 5.22/1.05 ![X0]: (~empty(X0)|X0=relation_rng(sk0_11))),
% 5.22/1.05 inference(resolution,[status(thm)],[f805,f112])).
% 5.22/1.05 fof(f868,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_rng(relation_rng(X1))|~empty(X1))),
% 5.22/1.05 inference(resolution,[status(thm)],[f805,f109])).
% 5.22/1.05 fof(f869,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_rng(relation_dom(X1))|~empty(X1))),
% 5.22/1.05 inference(resolution,[status(thm)],[f805,f106])).
% 5.22/1.05 fof(f871,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_rng(X1)|~relation(X1)|~empty(relation_dom(X1)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f805,f102])).
% 5.22/1.05 fof(f875,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_dom(relation_rng(X1))|~empty(X1))),
% 5.22/1.05 inference(resolution,[status(thm)],[f806,f109])).
% 5.22/1.05 fof(f876,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_dom(relation_dom(X1))|~empty(X1))),
% 5.22/1.05 inference(resolution,[status(thm)],[f806,f106])).
% 5.22/1.05 fof(f877,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_dom(X1)|~relation(X1)|~empty(relation_rng(X1)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f806,f104])).
% 5.22/1.05 fof(f879,plain,(
% 5.22/1.05 relation_rng(relation_rng(sk0_11))=sk0_11),
% 5.22/1.05 inference(resolution,[status(thm)],[f825,f112])).
% 5.22/1.05 fof(f882,plain,(
% 5.22/1.05 ![X0]: (relation_rng(relation_rng(relation_rng(X0)))=sk0_11|~empty(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f825,f109])).
% 5.22/1.05 fof(f883,plain,(
% 5.22/1.05 ![X0]: (relation_rng(relation_rng(relation_dom(X0)))=sk0_11|~empty(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f825,f106])).
% 5.22/1.05 fof(f885,plain,(
% 5.22/1.05 ![X0]: (relation_rng(relation_rng(X0))=sk0_11|~relation(X0)|~empty(relation_dom(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f825,f102])).
% 5.22/1.05 fof(f886,plain,(
% 5.22/1.05 spl0_125 <=> relation(relation_rng(sk0_11))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f887,plain,(
% 5.22/1.05 relation(relation_rng(sk0_11))|~spl0_125),
% 5.22/1.05 inference(component_clause,[status(thm)],[f886])).
% 5.22/1.05 fof(f888,plain,(
% 5.22/1.05 ~relation(relation_rng(sk0_11))|spl0_125),
% 5.22/1.05 inference(component_clause,[status(thm)],[f886])).
% 5.22/1.05 fof(f889,plain,(
% 5.22/1.05 spl0_126 <=> subset(relation_image(relation_rng(sk0_11),X0),sk0_11)),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f892,plain,(
% 5.22/1.05 ![X0]: (~relation(relation_rng(sk0_11))|subset(relation_image(relation_rng(sk0_11),X0),sk0_11))),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f879,f132])).
% 5.22/1.05 fof(f893,plain,(
% 5.22/1.05 ~spl0_125|spl0_126),
% 5.22/1.05 inference(split_clause,[status(thm)],[f892,f886,f889])).
% 5.22/1.05 fof(f901,plain,(
% 5.22/1.05 ~empty(sk0_11)|spl0_125),
% 5.22/1.05 inference(resolution,[status(thm)],[f888,f110])).
% 5.22/1.05 fof(f902,plain,(
% 5.22/1.05 $false|spl0_125),
% 5.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f901,f112])).
% 5.22/1.05 fof(f903,plain,(
% 5.22/1.05 spl0_125),
% 5.22/1.05 inference(contradiction_clause,[status(thm)],[f902])).
% 5.22/1.05 fof(f904,plain,(
% 5.22/1.05 relation_rng(relation_dom(sk0_11))=sk0_11),
% 5.22/1.05 inference(resolution,[status(thm)],[f826,f112])).
% 5.22/1.05 fof(f907,plain,(
% 5.22/1.05 ![X0]: (relation_rng(relation_dom(relation_rng(X0)))=sk0_11|~empty(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f826,f109])).
% 5.22/1.05 fof(f908,plain,(
% 5.22/1.05 ![X0]: (relation_rng(relation_dom(relation_dom(X0)))=sk0_11|~empty(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f826,f106])).
% 5.22/1.05 fof(f909,plain,(
% 5.22/1.05 ![X0]: (relation_rng(relation_dom(X0))=sk0_11|~relation(X0)|~empty(relation_rng(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f826,f104])).
% 5.22/1.05 fof(f911,plain,(
% 5.22/1.05 spl0_128 <=> relation(relation_dom(sk0_11))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f912,plain,(
% 5.22/1.05 relation(relation_dom(sk0_11))|~spl0_128),
% 5.22/1.05 inference(component_clause,[status(thm)],[f911])).
% 5.22/1.05 fof(f913,plain,(
% 5.22/1.05 ~relation(relation_dom(sk0_11))|spl0_128),
% 5.22/1.05 inference(component_clause,[status(thm)],[f911])).
% 5.22/1.05 fof(f914,plain,(
% 5.22/1.05 spl0_129 <=> subset(relation_image(relation_dom(sk0_11),X0),sk0_11)),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f917,plain,(
% 5.22/1.05 ![X0]: (~relation(relation_dom(sk0_11))|subset(relation_image(relation_dom(sk0_11),X0),sk0_11))),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f904,f132])).
% 5.22/1.05 fof(f918,plain,(
% 5.22/1.05 ~spl0_128|spl0_129),
% 5.22/1.05 inference(split_clause,[status(thm)],[f917,f911,f914])).
% 5.22/1.05 fof(f926,plain,(
% 5.22/1.05 ~empty(sk0_11)|spl0_128),
% 5.22/1.05 inference(resolution,[status(thm)],[f913,f107])).
% 5.22/1.05 fof(f927,plain,(
% 5.22/1.05 $false|spl0_128),
% 5.22/1.05 inference(forward_subsumption_resolution,[status(thm)],[f926,f112])).
% 5.22/1.05 fof(f928,plain,(
% 5.22/1.05 spl0_128),
% 5.22/1.05 inference(contradiction_clause,[status(thm)],[f927])).
% 5.22/1.05 fof(f929,plain,(
% 5.22/1.05 relation_dom(relation_rng(sk0_11))=sk0_11),
% 5.22/1.05 inference(resolution,[status(thm)],[f857,f112])).
% 5.22/1.05 fof(f932,plain,(
% 5.22/1.05 ![X0]: (relation_dom(relation_rng(relation_rng(X0)))=sk0_11|~empty(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f857,f109])).
% 5.22/1.05 fof(f933,plain,(
% 5.22/1.05 ![X0]: (relation_dom(relation_rng(relation_dom(X0)))=sk0_11|~empty(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f857,f106])).
% 5.22/1.05 fof(f935,plain,(
% 5.22/1.05 ![X0]: (relation_dom(relation_rng(X0))=sk0_11|~relation(X0)|~empty(relation_dom(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f857,f102])).
% 5.22/1.05 fof(f940,plain,(
% 5.22/1.05 relation_dom(relation_dom(sk0_11))=sk0_11),
% 5.22/1.05 inference(resolution,[status(thm)],[f858,f112])).
% 5.22/1.05 fof(f943,plain,(
% 5.22/1.05 ![X0]: (relation_dom(relation_dom(relation_rng(X0)))=sk0_11|~empty(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f858,f109])).
% 5.22/1.05 fof(f944,plain,(
% 5.22/1.05 ![X0]: (relation_dom(relation_dom(relation_dom(X0)))=sk0_11|~empty(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f858,f106])).
% 5.22/1.05 fof(f945,plain,(
% 5.22/1.05 ![X0]: (relation_dom(relation_dom(X0))=sk0_11|~relation(X0)|~empty(relation_rng(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f858,f104])).
% 5.22/1.05 fof(f951,plain,(
% 5.22/1.05 ![X0]: (X0=sk0_11|~relation(X0)|~empty(relation_rng(X0)))),
% 5.22/1.05 inference(forward_demodulation,[status(thm)],[f809,f813])).
% 5.22/1.05 fof(f953,plain,(
% 5.22/1.05 ![X0]: (X0=sk0_11|~relation(X0)|~relation(relation_rng(X0))|~empty(relation_rng(relation_rng(X0))))),
% 5.22/1.05 inference(resolution,[status(thm)],[f951,f104])).
% 5.22/1.05 fof(f955,plain,(
% 5.22/1.05 spl0_131 <=> relation_dom(sk0_11)=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f960,plain,(
% 5.22/1.05 spl0_132 <=> relation_rng(sk0_11)=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f965,plain,(
% 5.22/1.05 spl0_133 <=> empty_set=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f966,plain,(
% 5.22/1.05 empty_set=sk0_11|~spl0_133),
% 5.22/1.05 inference(component_clause,[status(thm)],[f965])).
% 5.22/1.05 fof(f987,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_rng(relation_rng(X1))|~relation(X1)|~empty(relation_dom(X1)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f868,f102])).
% 5.22/1.05 fof(f994,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_rng(relation_dom(X1))|~relation(X1)|~empty(relation_rng(X1)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f869,f104])).
% 5.22/1.05 fof(f1003,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_dom(relation_rng(X1))|~relation(X1)|~empty(relation_dom(X1)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f875,f102])).
% 5.22/1.05 fof(f1010,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_dom(relation_dom(X1))|~relation(X1)|~empty(relation_rng(X1)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f876,f104])).
% 5.22/1.05 fof(f1019,plain,(
% 5.22/1.05 ![X0]: (relation_rng(relation_rng(relation_rng(X0)))=sk0_11|~relation(X0)|~empty(relation_dom(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f882,f102])).
% 5.22/1.05 fof(f1026,plain,(
% 5.22/1.05 ![X0]: (relation_rng(relation_rng(relation_dom(X0)))=sk0_11|~relation(X0)|~empty(relation_rng(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f883,f104])).
% 5.22/1.05 fof(f1035,plain,(
% 5.22/1.05 ![X0]: (relation_rng(relation_dom(relation_rng(X0)))=sk0_11|~relation(X0)|~empty(relation_dom(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f907,f102])).
% 5.22/1.05 fof(f1042,plain,(
% 5.22/1.05 ![X0]: (relation_rng(relation_dom(relation_dom(X0)))=sk0_11|~relation(X0)|~empty(relation_rng(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f908,f104])).
% 5.22/1.05 fof(f1051,plain,(
% 5.22/1.05 ![X0]: (relation_dom(relation_rng(relation_rng(X0)))=sk0_11|~relation(X0)|~empty(relation_dom(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f932,f102])).
% 5.22/1.05 fof(f1058,plain,(
% 5.22/1.05 ![X0]: (relation_dom(relation_rng(relation_dom(X0)))=sk0_11|~relation(X0)|~empty(relation_rng(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f933,f104])).
% 5.22/1.05 fof(f1067,plain,(
% 5.22/1.05 ![X0]: (relation_dom(relation_dom(relation_rng(X0)))=sk0_11|~relation(X0)|~empty(relation_dom(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f943,f102])).
% 5.22/1.05 fof(f1074,plain,(
% 5.22/1.05 ![X0]: (relation_dom(relation_dom(relation_dom(X0)))=sk0_11|~relation(X0)|~empty(relation_rng(X0)))),
% 5.22/1.05 inference(resolution,[status(thm)],[f944,f104])).
% 5.22/1.05 fof(f1079,plain,(
% 5.22/1.05 spl0_134 <=> ~empty(X0)|X0=relation_dom(sk0_11)),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1084,plain,(
% 5.22/1.05 spl0_135 <=> ~empty(X0)|X0=relation_rng(sk0_11)),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1089,plain,(
% 5.22/1.05 spl0_136 <=> ~empty(X0)|X0=empty_set),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1104,plain,(
% 5.22/1.05 ![X0]: (relation_rng(X0)=sk0_11|~relation(X0)|~relation(relation_dom(X0))|~empty(relation_rng(relation_dom(X0))))),
% 5.22/1.05 inference(resolution,[status(thm)],[f828,f104])).
% 5.22/1.05 fof(f1106,plain,(
% 5.22/1.05 spl0_137 <=> relation_rng(relation_dom(sk0_11))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1111,plain,(
% 5.22/1.05 spl0_138 <=> relation_rng(relation_rng(sk0_11))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1116,plain,(
% 5.22/1.05 spl0_139 <=> relation_rng(empty_set)=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1122,plain,(
% 5.22/1.05 ![X0]: (relation_dom(X0)=sk0_11|~relation(X0)|~relation(relation_rng(X0))|~empty(relation_rng(relation_rng(X0))))),
% 5.22/1.05 inference(resolution,[status(thm)],[f859,f104])).
% 5.22/1.05 fof(f1124,plain,(
% 5.22/1.05 spl0_140 <=> relation_dom(relation_dom(sk0_11))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1129,plain,(
% 5.22/1.05 spl0_141 <=> relation_dom(relation_rng(sk0_11))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1134,plain,(
% 5.22/1.05 spl0_142 <=> relation_dom(empty_set)=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1140,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_rng(X1)|~relation(X1)|~relation(relation_dom(X1))|~empty(relation_rng(relation_dom(X1))))),
% 5.22/1.05 inference(resolution,[status(thm)],[f871,f104])).
% 5.22/1.05 fof(f1142,plain,(
% 5.22/1.05 spl0_143 <=> ~empty(X0)|X0=relation_rng(relation_dom(sk0_11))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1147,plain,(
% 5.22/1.05 spl0_144 <=> ~empty(X0)|X0=relation_rng(relation_rng(sk0_11))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1152,plain,(
% 5.22/1.05 spl0_145 <=> ~empty(X0)|X0=relation_rng(empty_set)),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1161,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_dom(X1)|~relation(X1)|~relation(relation_rng(X1))|~empty(relation_rng(relation_rng(X1))))),
% 5.22/1.05 inference(resolution,[status(thm)],[f877,f104])).
% 5.22/1.05 fof(f1163,plain,(
% 5.22/1.05 spl0_146 <=> ~empty(X0)|X0=relation_dom(relation_dom(sk0_11))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1168,plain,(
% 5.22/1.05 spl0_147 <=> ~empty(X0)|X0=relation_dom(relation_rng(sk0_11))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1173,plain,(
% 5.22/1.05 spl0_148 <=> ~empty(X0)|X0=relation_dom(empty_set)),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1182,plain,(
% 5.22/1.05 ![X0]: (relation_rng(relation_rng(X0))=sk0_11|~relation(X0)|~relation(relation_dom(X0))|~empty(relation_rng(relation_dom(X0))))),
% 5.22/1.05 inference(resolution,[status(thm)],[f885,f104])).
% 5.22/1.05 fof(f1184,plain,(
% 5.22/1.05 spl0_149 <=> relation_rng(relation_rng(relation_dom(sk0_11)))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1189,plain,(
% 5.22/1.05 spl0_150 <=> relation_rng(relation_rng(relation_rng(sk0_11)))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1194,plain,(
% 5.22/1.05 spl0_151 <=> relation_rng(relation_rng(empty_set))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1203,plain,(
% 5.22/1.05 ![X0]: (relation_rng(relation_dom(X0))=sk0_11|~relation(X0)|~relation(relation_rng(X0))|~empty(relation_rng(relation_rng(X0))))),
% 5.22/1.05 inference(resolution,[status(thm)],[f909,f104])).
% 5.22/1.05 fof(f1205,plain,(
% 5.22/1.05 spl0_152 <=> relation_rng(relation_dom(relation_dom(sk0_11)))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1210,plain,(
% 5.22/1.05 spl0_153 <=> relation_rng(relation_dom(relation_rng(sk0_11)))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1215,plain,(
% 5.22/1.05 spl0_154 <=> relation_rng(relation_dom(empty_set))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1224,plain,(
% 5.22/1.05 ![X0]: (relation_dom(relation_rng(X0))=sk0_11|~relation(X0)|~relation(relation_dom(X0))|~empty(relation_rng(relation_dom(X0))))),
% 5.22/1.05 inference(resolution,[status(thm)],[f935,f104])).
% 5.22/1.05 fof(f1226,plain,(
% 5.22/1.05 spl0_155 <=> relation_dom(relation_rng(relation_dom(sk0_11)))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1231,plain,(
% 5.22/1.05 spl0_156 <=> relation_dom(relation_rng(relation_rng(sk0_11)))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1234,plain,(
% 5.22/1.05 relation_dom(relation_rng(relation_rng(sk0_11)))=sk0_11|~relation(relation_rng(sk0_11))|~empty(sk0_11)),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f929,f935])).
% 5.22/1.05 fof(f1235,plain,(
% 5.22/1.05 spl0_156|~spl0_125|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1234,f1231,f886,f845])).
% 5.22/1.05 fof(f1236,plain,(
% 5.22/1.05 spl0_157 <=> relation_dom(relation_rng(empty_set))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1245,plain,(
% 5.22/1.05 ![X0]: (relation_dom(relation_dom(X0))=sk0_11|~relation(X0)|~relation(relation_rng(X0))|~empty(relation_rng(relation_rng(X0))))),
% 5.22/1.05 inference(resolution,[status(thm)],[f945,f104])).
% 5.22/1.05 fof(f1247,plain,(
% 5.22/1.05 spl0_158 <=> relation_dom(relation_dom(relation_dom(sk0_11)))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1252,plain,(
% 5.22/1.05 spl0_159 <=> relation_dom(relation_dom(relation_rng(sk0_11)))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1255,plain,(
% 5.22/1.05 relation_dom(relation_dom(relation_rng(sk0_11)))=sk0_11|~relation(relation_rng(sk0_11))|~empty(sk0_11)),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f879,f945])).
% 5.22/1.05 fof(f1256,plain,(
% 5.22/1.05 spl0_159|~spl0_125|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1255,f1252,f886,f845])).
% 5.22/1.05 fof(f1257,plain,(
% 5.22/1.05 spl0_160 <=> relation_dom(relation_dom(empty_set))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1266,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_rng(relation_rng(X1))|~relation(X1)|~relation(relation_dom(X1))|~empty(relation_rng(relation_dom(X1))))),
% 5.22/1.05 inference(resolution,[status(thm)],[f987,f104])).
% 5.22/1.05 fof(f1268,plain,(
% 5.22/1.05 spl0_161 <=> ~empty(X0)|X0=relation_rng(relation_rng(relation_dom(sk0_11)))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1271,plain,(
% 5.22/1.05 ![X0]: (~empty(X0)|X0=relation_rng(relation_rng(relation_dom(sk0_11)))|~relation(relation_dom(sk0_11))|~empty(sk0_11))),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f940,f987])).
% 5.22/1.05 fof(f1272,plain,(
% 5.22/1.05 spl0_161|~spl0_128|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1271,f1268,f911,f845])).
% 5.22/1.05 fof(f1273,plain,(
% 5.22/1.05 spl0_162 <=> ~empty(X0)|X0=relation_rng(relation_rng(relation_rng(sk0_11)))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1276,plain,(
% 5.22/1.05 ![X0]: (~empty(X0)|X0=relation_rng(relation_rng(relation_rng(sk0_11)))|~relation(relation_rng(sk0_11))|~empty(sk0_11))),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f929,f987])).
% 5.22/1.05 fof(f1277,plain,(
% 5.22/1.05 spl0_162|~spl0_125|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1276,f1273,f886,f845])).
% 5.22/1.05 fof(f1278,plain,(
% 5.22/1.05 spl0_163 <=> ~empty(X0)|X0=relation_rng(relation_rng(empty_set))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1286,plain,(
% 5.22/1.05 ![X0,X1]: (relation_rng(X0)=relation_image(X0,X1)|~subset(relation_rng(X0),relation_image(X0,X1))|~relation(X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f57,f132])).
% 5.22/1.05 fof(f1295,plain,(
% 5.22/1.05 ![X0,X1,X2]: (~in(X0,relation_image(X1,X2))|in(X0,relation_rng(X1))|~relation(X1))),
% 5.22/1.05 inference(resolution,[status(thm)],[f72,f132])).
% 5.22/1.05 fof(f1300,plain,(
% 5.22/1.05 spl0_164 <=> ~in(X0,sk0_11)|in(ordered_pair(X0,sk0_4(X0,relation_dom(relation_dom(sk0_11)),relation_dom(sk0_11))),relation_dom(sk0_11))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1303,plain,(
% 5.22/1.05 ![X0]: (~relation(relation_dom(sk0_11))|~in(X0,sk0_11)|in(ordered_pair(X0,sk0_4(X0,relation_dom(relation_dom(sk0_11)),relation_dom(sk0_11))),relation_dom(sk0_11)))),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f940,f164])).
% 5.22/1.05 fof(f1304,plain,(
% 5.22/1.05 ~spl0_128|spl0_164),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1303,f911,f1300])).
% 5.22/1.05 fof(f1305,plain,(
% 5.22/1.05 spl0_165 <=> ~in(X0,sk0_11)|in(ordered_pair(X0,sk0_4(X0,relation_dom(relation_rng(sk0_11)),relation_rng(sk0_11))),relation_rng(sk0_11))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1308,plain,(
% 5.22/1.05 ![X0]: (~relation(relation_rng(sk0_11))|~in(X0,sk0_11)|in(ordered_pair(X0,sk0_4(X0,relation_dom(relation_rng(sk0_11)),relation_rng(sk0_11))),relation_rng(sk0_11)))),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f929,f164])).
% 5.22/1.05 fof(f1309,plain,(
% 5.22/1.05 ~spl0_125|spl0_165),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1308,f886,f1305])).
% 5.22/1.05 fof(f1310,plain,(
% 5.22/1.05 spl0_166 <=> ~in(X0,sk0_11)|in(ordered_pair(X0,sk0_4(X0,relation_dom(empty_set),empty_set)),empty_set)),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1313,plain,(
% 5.22/1.05 ![X0]: (~relation(empty_set)|~in(X0,sk0_11)|in(ordered_pair(X0,sk0_4(X0,relation_dom(empty_set),empty_set)),empty_set))),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f856,f164])).
% 5.22/1.05 fof(f1314,plain,(
% 5.22/1.05 ~spl0_120|spl0_166),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1313,f829,f1310])).
% 5.22/1.05 fof(f1324,plain,(
% 5.22/1.05 ![X0,X1,X2]: (in(sk0_5(relation_image(X0,X1),X2),relation_rng(X0))|~relation(X0)|~relation(X2)|relation_image(X0,X1)=relation_dom(X2)|in(ordered_pair(sk0_5(relation_image(X0,X1),X2),sk0_6(relation_image(X0,X1),X2)),X2))),
% 5.22/1.05 inference(resolution,[status(thm)],[f1295,f82])).
% 5.22/1.05 fof(f1325,plain,(
% 5.22/1.05 ![X0,X1,X2,X3]: (in(sk0_2(X0,relation_image(X1,X2),X3),relation_rng(X1))|~relation(X1)|~relation(X3)|X0=relation_image(X3,relation_image(X1,X2))|in(sk0_1(X0,relation_image(X1,X2),X3),X0))),
% 5.22/1.05 inference(resolution,[status(thm)],[f1295,f67])).
% 5.22/1.05 fof(f1326,plain,(
% 5.22/1.05 ![X0,X1,X2,X3]: (in(sk0_1(relation_image(X0,X1),X2,X3),relation_rng(X0))|~relation(X0)|~relation(X3)|relation_image(X0,X1)=relation_image(X3,X2)|in(ordered_pair(sk0_2(relation_image(X0,X1),X2,X3),sk0_1(relation_image(X0,X1),X2,X3)),X3))),
% 5.22/1.05 inference(resolution,[status(thm)],[f1295,f66])).
% 5.22/1.05 fof(f1330,plain,(
% 5.22/1.05 spl0_167 <=> ~empty(X0)|X0=relation_rng(relation_dom(relation_dom(sk0_11)))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1333,plain,(
% 5.22/1.05 ![X0]: (~empty(X0)|X0=relation_rng(relation_dom(relation_dom(sk0_11)))|~relation(relation_dom(sk0_11))|~empty(sk0_11))),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f904,f994])).
% 5.22/1.05 fof(f1334,plain,(
% 5.22/1.05 spl0_167|~spl0_128|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1333,f1330,f911,f845])).
% 5.22/1.05 fof(f1335,plain,(
% 5.22/1.05 spl0_168 <=> ~empty(X0)|X0=relation_rng(relation_dom(relation_rng(sk0_11)))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1338,plain,(
% 5.22/1.05 ![X0]: (~empty(X0)|X0=relation_rng(relation_dom(relation_rng(sk0_11)))|~relation(relation_rng(sk0_11))|~empty(sk0_11))),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f879,f994])).
% 5.22/1.05 fof(f1339,plain,(
% 5.22/1.05 spl0_168|~spl0_125|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1338,f1335,f886,f845])).
% 5.22/1.05 fof(f1340,plain,(
% 5.22/1.05 spl0_169 <=> ~empty(X0)|X0=relation_rng(relation_dom(empty_set))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1349,plain,(
% 5.22/1.05 ![X0,X1]: (~empty(X0)|X0=relation_dom(relation_rng(X1))|~relation(X1)|~relation(relation_dom(X1))|~empty(relation_rng(relation_dom(X1))))),
% 5.22/1.05 inference(resolution,[status(thm)],[f1003,f104])).
% 5.22/1.05 fof(f1351,plain,(
% 5.22/1.05 spl0_170 <=> ~empty(X0)|X0=relation_dom(relation_rng(relation_dom(sk0_11)))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1354,plain,(
% 5.22/1.05 ![X0]: (~empty(X0)|X0=relation_dom(relation_rng(relation_dom(sk0_11)))|~relation(relation_dom(sk0_11))|~empty(sk0_11))),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f940,f1003])).
% 5.22/1.05 fof(f1355,plain,(
% 5.22/1.05 spl0_170|~spl0_128|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1354,f1351,f911,f845])).
% 5.22/1.05 fof(f1356,plain,(
% 5.22/1.05 spl0_171 <=> ~empty(X0)|X0=relation_dom(relation_rng(relation_rng(sk0_11)))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1359,plain,(
% 5.22/1.05 ![X0]: (~empty(X0)|X0=relation_dom(relation_rng(relation_rng(sk0_11)))|~relation(relation_rng(sk0_11))|~empty(sk0_11))),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f929,f1003])).
% 5.22/1.05 fof(f1360,plain,(
% 5.22/1.05 spl0_171|~spl0_125|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1359,f1356,f886,f845])).
% 5.22/1.05 fof(f1361,plain,(
% 5.22/1.05 spl0_172 <=> ~empty(X0)|X0=relation_dom(relation_rng(empty_set))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1372,plain,(
% 5.22/1.05 spl0_173 <=> ~empty(X0)|X0=relation_dom(relation_dom(relation_dom(sk0_11)))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1375,plain,(
% 5.22/1.05 ![X0]: (~empty(X0)|X0=relation_dom(relation_dom(relation_dom(sk0_11)))|~relation(relation_dom(sk0_11))|~empty(sk0_11))),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f904,f1010])).
% 5.22/1.05 fof(f1376,plain,(
% 5.22/1.05 spl0_173|~spl0_128|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1375,f1372,f911,f845])).
% 5.22/1.05 fof(f1377,plain,(
% 5.22/1.05 spl0_174 <=> ~empty(X0)|X0=relation_dom(relation_dom(relation_rng(sk0_11)))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1380,plain,(
% 5.22/1.05 ![X0]: (~empty(X0)|X0=relation_dom(relation_dom(relation_rng(sk0_11)))|~relation(relation_rng(sk0_11))|~empty(sk0_11))),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f879,f1010])).
% 5.22/1.05 fof(f1381,plain,(
% 5.22/1.05 spl0_174|~spl0_125|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1380,f1377,f886,f845])).
% 5.22/1.05 fof(f1382,plain,(
% 5.22/1.05 spl0_175 <=> ~empty(X0)|X0=relation_dom(relation_dom(empty_set))),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1393,plain,(
% 5.22/1.05 spl0_176 <=> relation_rng(relation_rng(relation_rng(relation_dom(sk0_11))))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1396,plain,(
% 5.22/1.05 relation_rng(relation_rng(relation_rng(relation_dom(sk0_11))))=sk0_11|~relation(relation_dom(sk0_11))|~empty(sk0_11)),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f940,f1019])).
% 5.22/1.05 fof(f1397,plain,(
% 5.22/1.05 spl0_176|~spl0_128|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1396,f1393,f911,f845])).
% 5.22/1.05 fof(f1398,plain,(
% 5.22/1.05 spl0_177 <=> relation_rng(relation_rng(relation_rng(relation_rng(sk0_11))))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1401,plain,(
% 5.22/1.05 relation_rng(relation_rng(relation_rng(relation_rng(sk0_11))))=sk0_11|~relation(relation_rng(sk0_11))|~empty(sk0_11)),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f929,f1019])).
% 5.22/1.05 fof(f1402,plain,(
% 5.22/1.05 spl0_177|~spl0_125|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1401,f1398,f886,f845])).
% 5.22/1.05 fof(f1403,plain,(
% 5.22/1.05 spl0_178 <=> relation_rng(relation_rng(relation_rng(empty_set)))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1406,plain,(
% 5.22/1.05 relation_rng(relation_rng(relation_rng(empty_set)))=sk0_11|~relation(empty_set)|~empty(sk0_11)),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f856,f1019])).
% 5.22/1.05 fof(f1407,plain,(
% 5.22/1.05 spl0_178|~spl0_120|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1406,f1403,f829,f845])).
% 5.22/1.05 fof(f1430,plain,(
% 5.22/1.05 spl0_182 <=> relation_rng(relation_rng(relation_dom(relation_dom(sk0_11))))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1433,plain,(
% 5.22/1.05 relation_rng(relation_rng(relation_dom(relation_dom(sk0_11))))=sk0_11|~relation(relation_dom(sk0_11))|~empty(sk0_11)),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f904,f1026])).
% 5.22/1.05 fof(f1434,plain,(
% 5.22/1.05 spl0_182|~spl0_128|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1433,f1430,f911,f845])).
% 5.22/1.05 fof(f1435,plain,(
% 5.22/1.05 spl0_183 <=> relation_rng(relation_rng(relation_dom(relation_rng(sk0_11))))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1438,plain,(
% 5.22/1.05 relation_rng(relation_rng(relation_dom(relation_rng(sk0_11))))=sk0_11|~relation(relation_rng(sk0_11))|~empty(sk0_11)),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f879,f1026])).
% 5.22/1.05 fof(f1439,plain,(
% 5.22/1.05 spl0_183|~spl0_125|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1438,f1435,f886,f845])).
% 5.22/1.05 fof(f1440,plain,(
% 5.22/1.05 spl0_184 <=> relation_rng(relation_rng(relation_dom(empty_set)))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1443,plain,(
% 5.22/1.05 relation_rng(relation_rng(relation_dom(empty_set)))=sk0_11|~relation(empty_set)|~empty(sk0_11)),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f824,f1026])).
% 5.22/1.05 fof(f1444,plain,(
% 5.22/1.05 spl0_184|~spl0_120|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1443,f1440,f829,f845])).
% 5.22/1.05 fof(f1451,plain,(
% 5.22/1.05 spl0_185 <=> relation_rng(relation_dom(relation_rng(relation_dom(sk0_11))))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1454,plain,(
% 5.22/1.05 relation_rng(relation_dom(relation_rng(relation_dom(sk0_11))))=sk0_11|~relation(relation_dom(sk0_11))|~empty(sk0_11)),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f940,f1035])).
% 5.22/1.05 fof(f1455,plain,(
% 5.22/1.05 spl0_185|~spl0_128|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1454,f1451,f911,f845])).
% 5.22/1.05 fof(f1456,plain,(
% 5.22/1.05 spl0_186 <=> relation_rng(relation_dom(relation_rng(relation_rng(sk0_11))))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1459,plain,(
% 5.22/1.05 relation_rng(relation_dom(relation_rng(relation_rng(sk0_11))))=sk0_11|~relation(relation_rng(sk0_11))|~empty(sk0_11)),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f929,f1035])).
% 5.22/1.05 fof(f1460,plain,(
% 5.22/1.05 spl0_186|~spl0_125|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1459,f1456,f886,f845])).
% 5.22/1.05 fof(f1461,plain,(
% 5.22/1.05 spl0_187 <=> relation_rng(relation_dom(relation_rng(empty_set)))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1464,plain,(
% 5.22/1.05 relation_rng(relation_dom(relation_rng(empty_set)))=sk0_11|~relation(empty_set)|~empty(sk0_11)),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f856,f1035])).
% 5.22/1.05 fof(f1465,plain,(
% 5.22/1.05 spl0_187|~spl0_120|~spl0_124),
% 5.22/1.05 inference(split_clause,[status(thm)],[f1464,f1461,f829,f845])).
% 5.22/1.05 fof(f1472,plain,(
% 5.22/1.05 spl0_188 <=> relation_rng(relation_dom(relation_dom(relation_dom(sk0_11))))=sk0_11),
% 5.22/1.05 introduced(split_symbol_definition)).
% 5.22/1.05 fof(f1475,plain,(
% 5.22/1.05 relation_rng(relation_dom(relation_dom(relation_dom(sk0_11))))=sk0_11|~relation(relation_dom(sk0_11))|~empty(sk0_11)),
% 5.22/1.05 inference(paramodulation,[status(thm)],[f904,f1042])).
% 5.22/1.07 fof(f1476,plain,(
% 5.22/1.07 spl0_188|~spl0_128|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1475,f1472,f911,f845])).
% 5.22/1.07 fof(f1477,plain,(
% 5.22/1.07 spl0_189 <=> relation_rng(relation_dom(relation_dom(relation_rng(sk0_11))))=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1480,plain,(
% 5.22/1.07 relation_rng(relation_dom(relation_dom(relation_rng(sk0_11))))=sk0_11|~relation(relation_rng(sk0_11))|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f879,f1042])).
% 5.22/1.07 fof(f1481,plain,(
% 5.22/1.07 spl0_189|~spl0_125|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1480,f1477,f886,f845])).
% 5.22/1.07 fof(f1482,plain,(
% 5.22/1.07 spl0_190 <=> relation_rng(relation_dom(relation_dom(empty_set)))=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1485,plain,(
% 5.22/1.07 relation_rng(relation_dom(relation_dom(empty_set)))=sk0_11|~relation(empty_set)|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f824,f1042])).
% 5.22/1.07 fof(f1486,plain,(
% 5.22/1.07 spl0_190|~spl0_120|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1485,f1482,f829,f845])).
% 5.22/1.07 fof(f1493,plain,(
% 5.22/1.07 spl0_191 <=> relation_dom(relation_rng(relation_rng(relation_dom(sk0_11))))=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1496,plain,(
% 5.22/1.07 relation_dom(relation_rng(relation_rng(relation_dom(sk0_11))))=sk0_11|~relation(relation_dom(sk0_11))|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f940,f1051])).
% 5.22/1.07 fof(f1497,plain,(
% 5.22/1.07 spl0_191|~spl0_128|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1496,f1493,f911,f845])).
% 5.22/1.07 fof(f1498,plain,(
% 5.22/1.07 spl0_192 <=> relation_dom(relation_rng(relation_rng(relation_rng(sk0_11))))=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1501,plain,(
% 5.22/1.07 relation_dom(relation_rng(relation_rng(relation_rng(sk0_11))))=sk0_11|~relation(relation_rng(sk0_11))|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f929,f1051])).
% 5.22/1.07 fof(f1502,plain,(
% 5.22/1.07 spl0_192|~spl0_125|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1501,f1498,f886,f845])).
% 5.22/1.07 fof(f1503,plain,(
% 5.22/1.07 spl0_193 <=> relation_dom(relation_rng(relation_rng(empty_set)))=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1506,plain,(
% 5.22/1.07 relation_dom(relation_rng(relation_rng(empty_set)))=sk0_11|~relation(empty_set)|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f856,f1051])).
% 5.22/1.07 fof(f1507,plain,(
% 5.22/1.07 spl0_193|~spl0_120|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1506,f1503,f829,f845])).
% 5.22/1.07 fof(f1514,plain,(
% 5.22/1.07 spl0_194 <=> relation_dom(relation_rng(relation_dom(relation_dom(sk0_11))))=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1517,plain,(
% 5.22/1.07 relation_dom(relation_rng(relation_dom(relation_dom(sk0_11))))=sk0_11|~relation(relation_dom(sk0_11))|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f904,f1058])).
% 5.22/1.07 fof(f1518,plain,(
% 5.22/1.07 spl0_194|~spl0_128|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1517,f1514,f911,f845])).
% 5.22/1.07 fof(f1519,plain,(
% 5.22/1.07 spl0_195 <=> relation_dom(relation_rng(relation_dom(relation_rng(sk0_11))))=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1522,plain,(
% 5.22/1.07 relation_dom(relation_rng(relation_dom(relation_rng(sk0_11))))=sk0_11|~relation(relation_rng(sk0_11))|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f879,f1058])).
% 5.22/1.07 fof(f1523,plain,(
% 5.22/1.07 spl0_195|~spl0_125|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1522,f1519,f886,f845])).
% 5.22/1.07 fof(f1524,plain,(
% 5.22/1.07 spl0_196 <=> relation_dom(relation_rng(relation_dom(empty_set)))=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1527,plain,(
% 5.22/1.07 relation_dom(relation_rng(relation_dom(empty_set)))=sk0_11|~relation(empty_set)|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f824,f1058])).
% 5.22/1.07 fof(f1528,plain,(
% 5.22/1.07 spl0_196|~spl0_120|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1527,f1524,f829,f845])).
% 5.22/1.07 fof(f1535,plain,(
% 5.22/1.07 spl0_197 <=> relation_dom(relation_dom(relation_rng(relation_dom(sk0_11))))=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1538,plain,(
% 5.22/1.07 relation_dom(relation_dom(relation_rng(relation_dom(sk0_11))))=sk0_11|~relation(relation_dom(sk0_11))|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f940,f1067])).
% 5.22/1.07 fof(f1539,plain,(
% 5.22/1.07 spl0_197|~spl0_128|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1538,f1535,f911,f845])).
% 5.22/1.07 fof(f1540,plain,(
% 5.22/1.07 spl0_198 <=> relation_dom(relation_dom(relation_rng(relation_rng(sk0_11))))=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1543,plain,(
% 5.22/1.07 relation_dom(relation_dom(relation_rng(relation_rng(sk0_11))))=sk0_11|~relation(relation_rng(sk0_11))|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f929,f1067])).
% 5.22/1.07 fof(f1544,plain,(
% 5.22/1.07 spl0_198|~spl0_125|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1543,f1540,f886,f845])).
% 5.22/1.07 fof(f1545,plain,(
% 5.22/1.07 spl0_199 <=> relation_dom(relation_dom(relation_rng(empty_set)))=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1548,plain,(
% 5.22/1.07 relation_dom(relation_dom(relation_rng(empty_set)))=sk0_11|~relation(empty_set)|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f856,f1067])).
% 5.22/1.07 fof(f1549,plain,(
% 5.22/1.07 spl0_199|~spl0_120|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1548,f1545,f829,f845])).
% 5.22/1.07 fof(f1556,plain,(
% 5.22/1.07 spl0_200 <=> relation_dom(relation_dom(relation_dom(relation_dom(sk0_11))))=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1559,plain,(
% 5.22/1.07 relation_dom(relation_dom(relation_dom(relation_dom(sk0_11))))=sk0_11|~relation(relation_dom(sk0_11))|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f904,f1074])).
% 5.22/1.07 fof(f1560,plain,(
% 5.22/1.07 spl0_200|~spl0_128|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1559,f1556,f911,f845])).
% 5.22/1.07 fof(f1561,plain,(
% 5.22/1.07 spl0_201 <=> relation_dom(relation_dom(relation_dom(relation_rng(sk0_11))))=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1564,plain,(
% 5.22/1.07 relation_dom(relation_dom(relation_dom(relation_rng(sk0_11))))=sk0_11|~relation(relation_rng(sk0_11))|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f879,f1074])).
% 5.22/1.07 fof(f1565,plain,(
% 5.22/1.07 spl0_201|~spl0_125|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1564,f1561,f886,f845])).
% 5.22/1.07 fof(f1566,plain,(
% 5.22/1.07 spl0_202 <=> relation_dom(relation_dom(relation_dom(empty_set)))=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1569,plain,(
% 5.22/1.07 relation_dom(relation_dom(relation_dom(empty_set)))=sk0_11|~relation(empty_set)|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f824,f1074])).
% 5.22/1.07 fof(f1570,plain,(
% 5.22/1.07 spl0_202|~spl0_120|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1569,f1566,f829,f845])).
% 5.22/1.07 fof(f1574,plain,(
% 5.22/1.07 spl0_203 <=> sk0_11=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1577,plain,(
% 5.22/1.07 spl0_204 <=> empty(relation_rng(relation_rng(sk0_11)))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1579,plain,(
% 5.22/1.07 ~empty(relation_rng(relation_rng(sk0_11)))|spl0_204),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1577])).
% 5.22/1.07 fof(f1580,plain,(
% 5.22/1.07 sk0_11=sk0_11|~relation(sk0_11)|~empty(relation_rng(relation_rng(sk0_11)))|~spl0_125),
% 5.22/1.07 inference(resolution,[status(thm)],[f953,f887])).
% 5.22/1.07 fof(f1581,plain,(
% 5.22/1.07 spl0_203|~spl0_123|~spl0_204|~spl0_125),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1580,f1574,f840,f1577,f886])).
% 5.22/1.07 fof(f1584,plain,(
% 5.22/1.07 spl0_205 <=> empty(relation_rng(relation_rng(relation_dom(sk0_11))))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1586,plain,(
% 5.22/1.07 ~empty(relation_rng(relation_rng(relation_dom(sk0_11))))|spl0_205),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1584])).
% 5.22/1.07 fof(f1589,plain,(
% 5.22/1.07 spl0_206 <=> empty(relation_rng(relation_rng(relation_rng(sk0_11))))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1591,plain,(
% 5.22/1.07 ~empty(relation_rng(relation_rng(relation_rng(sk0_11))))|spl0_206),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1589])).
% 5.22/1.07 fof(f1594,plain,(
% 5.22/1.07 spl0_207 <=> empty(relation_rng(relation_rng(empty_set)))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1596,plain,(
% 5.22/1.07 ~empty(relation_rng(relation_rng(empty_set)))|spl0_207),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1594])).
% 5.22/1.07 fof(f1599,plain,(
% 5.22/1.07 ~empty(sk0_11)|spl0_204),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f879,f1579])).
% 5.22/1.07 fof(f1600,plain,(
% 5.22/1.07 $false|spl0_204),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f1599,f112])).
% 5.22/1.07 fof(f1601,plain,(
% 5.22/1.07 spl0_204),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f1600])).
% 5.22/1.07 fof(f1602,plain,(
% 5.22/1.07 ~empty(relation_rng(sk0_11))|spl0_207),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f824,f1596])).
% 5.22/1.07 fof(f1603,plain,(
% 5.22/1.07 ~empty(relation_rng(sk0_11))|spl0_206),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f879,f1591])).
% 5.22/1.07 fof(f1604,plain,(
% 5.22/1.07 ~empty(relation_rng(sk0_11))|spl0_205),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f904,f1586])).
% 5.22/1.07 fof(f1606,plain,(
% 5.22/1.07 spl0_208 <=> empty(relation_dom(relation_rng(sk0_11)))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1608,plain,(
% 5.22/1.07 ~empty(relation_dom(relation_rng(sk0_11)))|spl0_208),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1606])).
% 5.22/1.07 fof(f1613,plain,(
% 5.22/1.07 spl0_209 <=> empty(relation_dom(relation_rng(relation_dom(sk0_11))))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1615,plain,(
% 5.22/1.07 ~empty(relation_dom(relation_rng(relation_dom(sk0_11))))|spl0_209),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1613])).
% 5.22/1.07 fof(f1618,plain,(
% 5.22/1.07 spl0_210 <=> empty(relation_dom(relation_rng(relation_rng(sk0_11))))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1620,plain,(
% 5.22/1.07 ~empty(relation_dom(relation_rng(relation_rng(sk0_11))))|spl0_210),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1618])).
% 5.22/1.07 fof(f1623,plain,(
% 5.22/1.07 spl0_211 <=> empty(relation_dom(relation_rng(empty_set)))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1625,plain,(
% 5.22/1.07 ~empty(relation_dom(relation_rng(empty_set)))|spl0_211),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1623])).
% 5.22/1.07 fof(f1628,plain,(
% 5.22/1.07 ~empty(relation_dom(sk0_11))|spl0_211),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f824,f1625])).
% 5.22/1.07 fof(f1629,plain,(
% 5.22/1.07 ~empty(relation_dom(sk0_11))|spl0_210),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f879,f1620])).
% 5.22/1.07 fof(f1630,plain,(
% 5.22/1.07 ~empty(relation_dom(sk0_11))|spl0_209),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f904,f1615])).
% 5.22/1.07 fof(f1631,plain,(
% 5.22/1.07 ~empty(sk0_11)|spl0_208),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f929,f1608])).
% 5.22/1.07 fof(f1632,plain,(
% 5.22/1.07 $false|spl0_208),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f1631,f112])).
% 5.22/1.07 fof(f1633,plain,(
% 5.22/1.07 spl0_208),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f1632])).
% 5.22/1.07 fof(f1652,plain,(
% 5.22/1.07 spl0_215 <=> empty(relation_rng(relation_dom(sk0_11)))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1654,plain,(
% 5.22/1.07 ~empty(relation_rng(relation_dom(sk0_11)))|spl0_215),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1652])).
% 5.22/1.07 fof(f1659,plain,(
% 5.22/1.07 spl0_216 <=> empty(relation_rng(relation_dom(relation_dom(sk0_11))))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1661,plain,(
% 5.22/1.07 ~empty(relation_rng(relation_dom(relation_dom(sk0_11))))|spl0_216),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1659])).
% 5.22/1.07 fof(f1664,plain,(
% 5.22/1.07 spl0_217 <=> empty(relation_rng(relation_dom(relation_rng(sk0_11))))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1666,plain,(
% 5.22/1.07 ~empty(relation_rng(relation_dom(relation_rng(sk0_11))))|spl0_217),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1664])).
% 5.22/1.07 fof(f1669,plain,(
% 5.22/1.07 spl0_218 <=> empty(relation_rng(relation_dom(empty_set)))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1671,plain,(
% 5.22/1.07 ~empty(relation_rng(relation_dom(empty_set)))|spl0_218),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1669])).
% 5.22/1.07 fof(f1674,plain,(
% 5.22/1.07 ~empty(relation_rng(sk0_11))|spl0_218),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f856,f1671])).
% 5.22/1.07 fof(f1675,plain,(
% 5.22/1.07 ~empty(relation_rng(sk0_11))|spl0_217),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f929,f1666])).
% 5.22/1.07 fof(f1676,plain,(
% 5.22/1.07 ~empty(relation_rng(sk0_11))|spl0_216),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f940,f1661])).
% 5.22/1.07 fof(f1677,plain,(
% 5.22/1.07 ~empty(sk0_11)|spl0_215),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f904,f1654])).
% 5.22/1.07 fof(f1678,plain,(
% 5.22/1.07 $false|spl0_215),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f1677,f112])).
% 5.22/1.07 fof(f1679,plain,(
% 5.22/1.07 spl0_215),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f1678])).
% 5.22/1.07 fof(f1681,plain,(
% 5.22/1.07 spl0_219 <=> empty(relation_dom(relation_dom(sk0_11)))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1683,plain,(
% 5.22/1.07 ~empty(relation_dom(relation_dom(sk0_11)))|spl0_219),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1681])).
% 5.22/1.07 fof(f1688,plain,(
% 5.22/1.07 spl0_220 <=> empty(relation_dom(relation_dom(relation_dom(sk0_11))))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1690,plain,(
% 5.22/1.07 ~empty(relation_dom(relation_dom(relation_dom(sk0_11))))|spl0_220),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1688])).
% 5.22/1.07 fof(f1693,plain,(
% 5.22/1.07 spl0_221 <=> empty(relation_dom(relation_dom(relation_rng(sk0_11))))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1695,plain,(
% 5.22/1.07 ~empty(relation_dom(relation_dom(relation_rng(sk0_11))))|spl0_221),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1693])).
% 5.22/1.07 fof(f1698,plain,(
% 5.22/1.07 spl0_222 <=> empty(relation_dom(relation_dom(empty_set)))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1700,plain,(
% 5.22/1.07 ~empty(relation_dom(relation_dom(empty_set)))|spl0_222),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1698])).
% 5.22/1.07 fof(f1703,plain,(
% 5.22/1.07 ~empty(relation_dom(sk0_11))|spl0_222),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f856,f1700])).
% 5.22/1.07 fof(f1704,plain,(
% 5.22/1.07 ~empty(relation_dom(sk0_11))|spl0_221),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f929,f1695])).
% 5.22/1.07 fof(f1705,plain,(
% 5.22/1.07 ~empty(relation_dom(sk0_11))|spl0_220),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f940,f1690])).
% 5.22/1.07 fof(f1706,plain,(
% 5.22/1.07 ~empty(sk0_11)|spl0_219),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f940,f1683])).
% 5.22/1.07 fof(f1707,plain,(
% 5.22/1.07 $false|spl0_219),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f1706,f112])).
% 5.22/1.07 fof(f1708,plain,(
% 5.22/1.07 spl0_219),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f1707])).
% 5.22/1.07 fof(f1710,plain,(
% 5.22/1.07 relation_rng(sk0_11)=sk0_11|~relation(sk0_11)|~empty(relation_rng(relation_dom(sk0_11)))|~spl0_128),
% 5.22/1.07 inference(resolution,[status(thm)],[f1104,f912])).
% 5.22/1.07 fof(f1711,plain,(
% 5.22/1.07 spl0_132|~spl0_123|~spl0_215|~spl0_128),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1710,f960,f840,f1652,f911])).
% 5.22/1.07 fof(f1718,plain,(
% 5.22/1.07 relation_rng(empty_set)=sk0_11|~relation(empty_set)|~relation(sk0_11)|~empty(relation_rng(relation_dom(empty_set)))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f856,f1104])).
% 5.22/1.07 fof(f1719,plain,(
% 5.22/1.07 spl0_139|~spl0_120|~spl0_123|~spl0_218),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1718,f1116,f829,f840,f1669])).
% 5.22/1.07 fof(f1730,plain,(
% 5.22/1.07 relation_dom(sk0_11)=sk0_11|~relation(sk0_11)|~empty(relation_rng(relation_rng(sk0_11)))|~spl0_125),
% 5.22/1.07 inference(resolution,[status(thm)],[f1122,f887])).
% 5.22/1.07 fof(f1731,plain,(
% 5.22/1.07 spl0_131|~spl0_123|~spl0_204|~spl0_125),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1730,f955,f840,f1577,f886])).
% 5.22/1.07 fof(f1736,plain,(
% 5.22/1.07 relation_dom(relation_rng(sk0_11))=sk0_11|~relation(relation_rng(sk0_11))|~relation(sk0_11)|~empty(relation_rng(relation_rng(relation_rng(sk0_11))))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f879,f1122])).
% 5.22/1.07 fof(f1737,plain,(
% 5.22/1.07 spl0_141|~spl0_125|~spl0_123|~spl0_206),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1736,f1129,f886,f840,f1589])).
% 5.22/1.07 fof(f1738,plain,(
% 5.22/1.07 relation_dom(empty_set)=sk0_11|~relation(empty_set)|~relation(sk0_11)|~empty(relation_rng(relation_rng(empty_set)))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f824,f1122])).
% 5.22/1.07 fof(f1739,plain,(
% 5.22/1.07 spl0_142|~spl0_120|~spl0_123|~spl0_207),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1738,f1134,f829,f840,f1594])).
% 5.22/1.07 fof(f1750,plain,(
% 5.22/1.07 ![X0]: (~empty(X0)|X0=relation_rng(sk0_11)|~relation(sk0_11)|~empty(relation_rng(relation_dom(sk0_11)))|~spl0_128)),
% 5.22/1.07 inference(resolution,[status(thm)],[f1140,f912])).
% 5.22/1.07 fof(f1751,plain,(
% 5.22/1.07 spl0_135|~spl0_123|~spl0_215|~spl0_128),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1750,f1084,f840,f1652,f911])).
% 5.22/1.07 fof(f1756,plain,(
% 5.22/1.07 ![X0]: (~empty(X0)|X0=relation_rng(relation_rng(sk0_11))|~relation(relation_rng(sk0_11))|~relation(sk0_11)|~empty(relation_rng(relation_dom(relation_rng(sk0_11)))))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f929,f1140])).
% 5.22/1.07 fof(f1757,plain,(
% 5.22/1.07 spl0_144|~spl0_125|~spl0_123|~spl0_217),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1756,f1147,f886,f840,f1664])).
% 5.22/1.07 fof(f1758,plain,(
% 5.22/1.07 ![X0]: (~empty(X0)|X0=relation_rng(empty_set)|~relation(empty_set)|~relation(sk0_11)|~empty(relation_rng(relation_dom(empty_set))))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f856,f1140])).
% 5.22/1.07 fof(f1759,plain,(
% 5.22/1.07 spl0_145|~spl0_120|~spl0_123|~spl0_218),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1758,f1152,f829,f840,f1669])).
% 5.22/1.07 fof(f1770,plain,(
% 5.22/1.07 ![X0]: (~empty(X0)|X0=relation_dom(sk0_11)|~relation(sk0_11)|~empty(relation_rng(relation_rng(sk0_11)))|~spl0_125)),
% 5.22/1.07 inference(resolution,[status(thm)],[f1161,f887])).
% 5.22/1.07 fof(f1771,plain,(
% 5.22/1.07 spl0_134|~spl0_123|~spl0_204|~spl0_125),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1770,f1079,f840,f1577,f886])).
% 5.22/1.07 fof(f1776,plain,(
% 5.22/1.07 ![X0]: (~empty(X0)|X0=relation_dom(relation_rng(sk0_11))|~relation(relation_rng(sk0_11))|~relation(sk0_11)|~empty(relation_rng(relation_rng(relation_rng(sk0_11)))))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f879,f1161])).
% 5.22/1.07 fof(f1777,plain,(
% 5.22/1.07 spl0_147|~spl0_125|~spl0_123|~spl0_206),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1776,f1168,f886,f840,f1589])).
% 5.22/1.07 fof(f1790,plain,(
% 5.22/1.07 relation_rng(relation_rng(sk0_11))=sk0_11|~relation(sk0_11)|~empty(relation_rng(relation_dom(sk0_11)))|~spl0_128),
% 5.22/1.07 inference(resolution,[status(thm)],[f1182,f912])).
% 5.22/1.07 fof(f1791,plain,(
% 5.22/1.07 spl0_138|~spl0_123|~spl0_215|~spl0_128),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1790,f1111,f840,f1652,f911])).
% 5.22/1.07 fof(f1796,plain,(
% 5.22/1.07 relation_rng(relation_rng(relation_rng(sk0_11)))=sk0_11|~relation(relation_rng(sk0_11))|~relation(sk0_11)|~empty(relation_rng(relation_dom(relation_rng(sk0_11))))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f929,f1182])).
% 5.22/1.07 fof(f1797,plain,(
% 5.22/1.07 spl0_150|~spl0_125|~spl0_123|~spl0_217),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1796,f1189,f886,f840,f1664])).
% 5.22/1.07 fof(f1798,plain,(
% 5.22/1.07 relation_rng(relation_rng(empty_set))=sk0_11|~relation(empty_set)|~relation(sk0_11)|~empty(relation_rng(relation_dom(empty_set)))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f856,f1182])).
% 5.22/1.07 fof(f1799,plain,(
% 5.22/1.07 spl0_151|~spl0_120|~spl0_123|~spl0_218),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1798,f1194,f829,f840,f1669])).
% 5.22/1.07 fof(f1810,plain,(
% 5.22/1.07 relation_rng(relation_dom(sk0_11))=sk0_11|~relation(sk0_11)|~empty(relation_rng(relation_rng(sk0_11)))|~spl0_125),
% 5.22/1.07 inference(resolution,[status(thm)],[f1203,f887])).
% 5.22/1.07 fof(f1811,plain,(
% 5.22/1.07 spl0_137|~spl0_123|~spl0_204|~spl0_125),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1810,f1106,f840,f1577,f886])).
% 5.22/1.07 fof(f1816,plain,(
% 5.22/1.07 relation_rng(relation_dom(relation_rng(sk0_11)))=sk0_11|~relation(relation_rng(sk0_11))|~relation(sk0_11)|~empty(relation_rng(relation_rng(relation_rng(sk0_11))))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f879,f1203])).
% 5.22/1.07 fof(f1817,plain,(
% 5.22/1.07 spl0_153|~spl0_125|~spl0_123|~spl0_206),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1816,f1210,f886,f840,f1589])).
% 5.22/1.07 fof(f1818,plain,(
% 5.22/1.07 relation_rng(relation_dom(empty_set))=sk0_11|~relation(empty_set)|~relation(sk0_11)|~empty(relation_rng(relation_rng(empty_set)))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f824,f1203])).
% 5.22/1.07 fof(f1819,plain,(
% 5.22/1.07 spl0_154|~spl0_120|~spl0_123|~spl0_207),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1818,f1215,f829,f840,f1594])).
% 5.22/1.07 fof(f1832,plain,(
% 5.22/1.07 spl0_223 <=> relation_rng(relation_dom(sk0_11))=relation_image(relation_dom(sk0_11),X0)|~subset(sk0_11,relation_image(relation_dom(sk0_11),X0))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1835,plain,(
% 5.22/1.07 ![X0]: (relation_rng(relation_dom(sk0_11))=relation_image(relation_dom(sk0_11),X0)|~subset(sk0_11,relation_image(relation_dom(sk0_11),X0))|~relation(relation_dom(sk0_11)))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f904,f1286])).
% 5.22/1.07 fof(f1836,plain,(
% 5.22/1.07 spl0_223|~spl0_128),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1835,f1832,f911])).
% 5.22/1.07 fof(f1837,plain,(
% 5.22/1.07 spl0_224 <=> relation_rng(relation_rng(sk0_11))=relation_image(relation_rng(sk0_11),X0)|~subset(sk0_11,relation_image(relation_rng(sk0_11),X0))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1840,plain,(
% 5.22/1.07 ![X0]: (relation_rng(relation_rng(sk0_11))=relation_image(relation_rng(sk0_11),X0)|~subset(sk0_11,relation_image(relation_rng(sk0_11),X0))|~relation(relation_rng(sk0_11)))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f879,f1286])).
% 5.22/1.07 fof(f1841,plain,(
% 5.22/1.07 spl0_224|~spl0_125),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1840,f1837,f886])).
% 5.22/1.07 fof(f1842,plain,(
% 5.22/1.07 spl0_225 <=> relation_rng(empty_set)=relation_image(empty_set,X0)|~subset(sk0_11,relation_image(empty_set,X0))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1845,plain,(
% 5.22/1.07 ![X0]: (relation_rng(empty_set)=relation_image(empty_set,X0)|~subset(sk0_11,relation_image(empty_set,X0))|~relation(empty_set))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f824,f1286])).
% 5.22/1.07 fof(f1846,plain,(
% 5.22/1.07 spl0_225|~spl0_120),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1845,f1842,f829])).
% 5.22/1.07 fof(f1851,plain,(
% 5.22/1.07 empty_set=relation_rng(sk0_11)),
% 5.22/1.07 inference(resolution,[status(thm)],[f865,f95])).
% 5.22/1.07 fof(f1854,plain,(
% 5.22/1.07 ![X0]: (X0=relation_rng(sk0_11)|~relation(X0)|~empty(relation_rng(X0)))),
% 5.22/1.07 inference(resolution,[status(thm)],[f865,f104])).
% 5.22/1.07 fof(f1860,plain,(
% 5.22/1.07 spl0_226 <=> relation_rng(sk0_11)=relation_image(sk0_11,X0)|~subset(empty_set,relation_image(sk0_11,X0))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1863,plain,(
% 5.22/1.07 ![X0]: (relation_rng(sk0_11)=relation_image(sk0_11,X0)|~subset(empty_set,relation_image(sk0_11,X0))|~relation(sk0_11))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f1851,f1286])).
% 5.22/1.07 fof(f1864,plain,(
% 5.22/1.07 spl0_226|~spl0_123),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1863,f1860,f840])).
% 5.22/1.07 fof(f1881,plain,(
% 5.22/1.07 relation_dom(relation_dom(relation_dom(sk0_11)))=sk0_11|~relation(sk0_11)|~empty(empty_set)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f1851,f1074])).
% 5.22/1.07 fof(f1882,plain,(
% 5.22/1.07 spl0_158|~spl0_123|~spl0_122),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1881,f1247,f840,f837])).
% 5.22/1.07 fof(f1883,plain,(
% 5.22/1.07 relation_dom(relation_rng(relation_dom(sk0_11)))=sk0_11|~relation(sk0_11)|~empty(empty_set)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f1851,f1058])).
% 5.22/1.07 fof(f1884,plain,(
% 5.22/1.07 spl0_155|~spl0_123|~spl0_122),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1883,f1226,f840,f837])).
% 5.22/1.07 fof(f1885,plain,(
% 5.22/1.07 relation_rng(relation_dom(relation_dom(sk0_11)))=sk0_11|~relation(sk0_11)|~empty(empty_set)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f1851,f1042])).
% 5.22/1.07 fof(f1886,plain,(
% 5.22/1.07 spl0_152|~spl0_123|~spl0_122),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1885,f1205,f840,f837])).
% 5.22/1.07 fof(f1887,plain,(
% 5.22/1.07 relation_rng(relation_rng(relation_dom(sk0_11)))=sk0_11|~relation(sk0_11)|~empty(empty_set)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f1851,f1026])).
% 5.22/1.07 fof(f1888,plain,(
% 5.22/1.07 spl0_149|~spl0_123|~spl0_122),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1887,f1184,f840,f837])).
% 5.22/1.07 fof(f1889,plain,(
% 5.22/1.07 ![X0]: (~empty(X0)|X0=relation_dom(relation_dom(sk0_11))|~relation(sk0_11)|~empty(empty_set))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f1851,f1010])).
% 5.22/1.07 fof(f1890,plain,(
% 5.22/1.07 spl0_146|~spl0_123|~spl0_122),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1889,f1163,f840,f837])).
% 5.22/1.07 fof(f1891,plain,(
% 5.22/1.07 ![X0]: (~empty(X0)|X0=relation_rng(relation_dom(sk0_11))|~relation(sk0_11)|~empty(empty_set))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f1851,f994])).
% 5.22/1.07 fof(f1892,plain,(
% 5.22/1.07 spl0_143|~spl0_123|~spl0_122),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1891,f1142,f840,f837])).
% 5.22/1.07 fof(f1893,plain,(
% 5.22/1.07 relation_dom(relation_dom(sk0_11))=sk0_11|~relation(sk0_11)|~empty(empty_set)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f1851,f945])).
% 5.22/1.07 fof(f1894,plain,(
% 5.22/1.07 spl0_140|~spl0_123|~spl0_122),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1893,f1124,f840,f837])).
% 5.22/1.07 fof(f1901,plain,(
% 5.22/1.07 spl0_227 <=> ~empty(X0)|X0=sk0_11),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1904,plain,(
% 5.22/1.07 ![X0]: (~empty(X0)|X0=sk0_11|~relation(sk0_11)|~empty(empty_set))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f1851,f807])).
% 5.22/1.07 fof(f1905,plain,(
% 5.22/1.07 spl0_227|~spl0_123|~spl0_122),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1904,f1901,f840,f837])).
% 5.22/1.07 fof(f1908,plain,(
% 5.22/1.07 spl0_228 <=> subset(relation_image(sk0_11,X0),empty_set)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1911,plain,(
% 5.22/1.07 ![X0]: (~relation(sk0_11)|subset(relation_image(sk0_11,X0),empty_set))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f1851,f132])).
% 5.22/1.07 fof(f1912,plain,(
% 5.22/1.07 ~spl0_123|spl0_228),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1911,f840,f1908])).
% 5.22/1.07 fof(f1918,plain,(
% 5.22/1.07 ![X0]: (X0=empty_set|~relation(X0)|~empty(relation_rng(X0)))),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f1851,f1854])).
% 5.22/1.07 fof(f1923,plain,(
% 5.22/1.07 sk0_11=empty_set|~relation(sk0_11)|~empty(empty_set)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f1851,f1918])).
% 5.22/1.07 fof(f1924,plain,(
% 5.22/1.07 spl0_133|~spl0_123|~spl0_122),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1923,f965,f840,f837])).
% 5.22/1.07 fof(f1925,plain,(
% 5.22/1.07 spl0_229 <=> relation_dom(sk0_11)=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1926,plain,(
% 5.22/1.07 relation_dom(sk0_11)=empty_set|~spl0_229),
% 5.22/1.07 inference(component_clause,[status(thm)],[f1925])).
% 5.22/1.07 fof(f1928,plain,(
% 5.22/1.07 relation_dom(sk0_11)=empty_set|~relation(relation_dom(sk0_11))|~empty(sk0_11)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f904,f1918])).
% 5.22/1.07 fof(f1929,plain,(
% 5.22/1.07 spl0_229|~spl0_128|~spl0_124),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1928,f1925,f911,f845])).
% 5.22/1.07 fof(f1930,plain,(
% 5.22/1.07 spl0_230 <=> empty_set=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1964,plain,(
% 5.22/1.07 spl0_231 <=> ~in(X0,empty_set)|in(ordered_pair(X0,sk0_4(X0,relation_dom(sk0_11),sk0_11)),sk0_11)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f1967,plain,(
% 5.22/1.07 ![X0]: (~relation(sk0_11)|~in(X0,empty_set)|in(ordered_pair(X0,sk0_4(X0,relation_dom(sk0_11),sk0_11)),sk0_11)|~spl0_229)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f1926,f164])).
% 5.22/1.07 fof(f1968,plain,(
% 5.22/1.07 ~spl0_123|spl0_231|~spl0_229),
% 5.22/1.07 inference(split_clause,[status(thm)],[f1967,f840,f1964,f1925])).
% 5.22/1.07 fof(f2005,plain,(
% 5.22/1.07 relation_dom(relation_rng(empty_set))=sk0_11|~relation(empty_set)|~relation(sk0_11)|~empty(relation_rng(relation_dom(empty_set)))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f856,f1224])).
% 5.22/1.07 fof(f2006,plain,(
% 5.22/1.07 spl0_157|~spl0_120|~spl0_123|~spl0_218),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2005,f1236,f829,f840,f1669])).
% 5.22/1.07 fof(f2017,plain,(
% 5.22/1.07 relation_dom(relation_dom(empty_set))=sk0_11|~relation(empty_set)|~relation(sk0_11)|~empty(relation_rng(relation_rng(empty_set)))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f824,f1245])).
% 5.22/1.07 fof(f2018,plain,(
% 5.22/1.07 spl0_160|~spl0_120|~spl0_123|~spl0_207),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2017,f1257,f829,f840,f1594])).
% 5.22/1.07 fof(f2029,plain,(
% 5.22/1.07 ![X0]: (~empty(X0)|X0=relation_rng(relation_rng(empty_set))|~relation(empty_set)|~relation(sk0_11)|~empty(relation_rng(relation_dom(empty_set))))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f856,f1266])).
% 5.22/1.07 fof(f2030,plain,(
% 5.22/1.07 spl0_163|~spl0_120|~spl0_123|~spl0_218),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2029,f1278,f829,f840,f1669])).
% 5.22/1.07 fof(f2053,plain,(
% 5.22/1.07 ![X0]: (~empty(X0)|X0=relation_dom(relation_rng(empty_set))|~relation(empty_set)|~relation(sk0_11)|~empty(relation_rng(relation_dom(empty_set))))),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f856,f1349])).
% 5.22/1.07 fof(f2054,plain,(
% 5.22/1.07 spl0_172|~spl0_120|~spl0_123|~spl0_218),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2053,f1361,f829,f840,f1669])).
% 5.22/1.07 fof(f2079,plain,(
% 5.22/1.07 relation_dom(empty_set)=empty_set|~spl0_133|~spl0_229),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f1926])).
% 5.22/1.07 fof(f2080,plain,(
% 5.22/1.07 empty_set=relation_rng(empty_set)|~spl0_133),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f1851])).
% 5.22/1.07 fof(f2093,plain,(
% 5.22/1.07 ![X0]: (relation_dom(relation_dom(relation_dom(X0)))=empty_set|~relation(X0)|~empty(relation_rng(X0))|~spl0_133)),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f1074])).
% 5.22/1.07 fof(f2094,plain,(
% 5.22/1.07 ![X0]: (relation_dom(relation_dom(relation_rng(X0)))=empty_set|~relation(X0)|~empty(relation_dom(X0))|~spl0_133)),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f1067])).
% 5.22/1.07 fof(f2095,plain,(
% 5.22/1.07 ![X0]: (relation_dom(relation_rng(relation_dom(X0)))=empty_set|~relation(X0)|~empty(relation_rng(X0))|~spl0_133)),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f1058])).
% 5.22/1.07 fof(f2096,plain,(
% 5.22/1.07 ![X0]: (relation_dom(relation_rng(relation_rng(X0)))=empty_set|~relation(X0)|~empty(relation_dom(X0))|~spl0_133)),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f1051])).
% 5.22/1.07 fof(f2097,plain,(
% 5.22/1.07 ![X0]: (relation_rng(relation_dom(relation_dom(X0)))=empty_set|~relation(X0)|~empty(relation_rng(X0))|~spl0_133)),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f1042])).
% 5.22/1.07 fof(f2098,plain,(
% 5.22/1.07 ![X0]: (relation_rng(relation_dom(relation_rng(X0)))=empty_set|~relation(X0)|~empty(relation_dom(X0))|~spl0_133)),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f1035])).
% 5.22/1.07 fof(f2099,plain,(
% 5.22/1.07 ![X0]: (relation_rng(relation_rng(relation_dom(X0)))=empty_set|~relation(X0)|~empty(relation_rng(X0))|~spl0_133)),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f1026])).
% 5.22/1.07 fof(f2100,plain,(
% 5.22/1.07 ![X0]: (relation_rng(relation_rng(relation_rng(X0)))=empty_set|~relation(X0)|~empty(relation_dom(X0))|~spl0_133)),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f1019])).
% 5.22/1.07 fof(f2101,plain,(
% 5.22/1.07 ![X0]: (relation_dom(relation_dom(X0))=empty_set|~relation(X0)|~empty(relation_rng(X0))|~spl0_133)),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f945])).
% 5.22/1.07 fof(f2102,plain,(
% 5.22/1.07 ![X0]: (relation_dom(relation_rng(X0))=empty_set|~relation(X0)|~empty(relation_dom(X0))|~spl0_133)),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f935])).
% 5.22/1.07 fof(f2103,plain,(
% 5.22/1.07 ![X0]: (relation_rng(relation_dom(X0))=empty_set|~relation(X0)|~empty(relation_rng(X0))|~spl0_133)),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f909])).
% 5.22/1.07 fof(f2104,plain,(
% 5.22/1.07 ![X0]: (relation_rng(relation_rng(X0))=empty_set|~relation(X0)|~empty(relation_dom(X0))|~spl0_133)),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f885])).
% 5.22/1.07 fof(f2105,plain,(
% 5.22/1.07 ![X0]: (relation_dom(X0)=empty_set|~relation(X0)|~empty(relation_rng(X0))|~spl0_133)),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f859])).
% 5.22/1.07 fof(f2106,plain,(
% 5.22/1.07 ![X0]: (relation_rng(X0)=empty_set|~relation(X0)|~empty(relation_dom(X0))|~spl0_133)),
% 5.22/1.07 inference(backward_demodulation,[status(thm)],[f966,f828])).
% 5.22/1.07 fof(f2145,plain,(
% 5.22/1.07 spl0_232 <=> ~in(X0,empty_set)|in(ordered_pair(X0,sk0_4(X0,relation_dom(empty_set),empty_set)),empty_set)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2148,plain,(
% 5.22/1.07 ![X0]: (~relation(empty_set)|~in(X0,empty_set)|in(ordered_pair(X0,sk0_4(X0,relation_dom(empty_set),empty_set)),empty_set)|~spl0_133|~spl0_229)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2079,f164])).
% 5.22/1.07 fof(f2149,plain,(
% 5.22/1.07 ~spl0_120|spl0_232|~spl0_133|~spl0_229),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2148,f829,f2145,f965,f1925])).
% 5.22/1.07 fof(f2183,plain,(
% 5.22/1.07 empty_set=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f1918])).
% 5.22/1.07 fof(f2184,plain,(
% 5.22/1.07 spl0_230|~spl0_120|~spl0_122|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2183,f1930,f829,f837,f965])).
% 5.22/1.07 fof(f2185,plain,(
% 5.22/1.07 spl0_233 <=> relation_rng(empty_set)=relation_image(empty_set,X0)|~subset(empty_set,relation_image(empty_set,X0))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2188,plain,(
% 5.22/1.07 ![X0]: (relation_rng(empty_set)=relation_image(empty_set,X0)|~subset(empty_set,relation_image(empty_set,X0))|~relation(empty_set)|~spl0_133)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f1286])).
% 5.22/1.07 fof(f2189,plain,(
% 5.22/1.07 spl0_233|~spl0_120|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2188,f2185,f829,f965])).
% 5.22/1.07 fof(f2194,plain,(
% 5.22/1.07 ![X0]: (~empty(X0)|X0=relation_dom(relation_dom(empty_set))|~relation(empty_set)|~empty(empty_set)|~spl0_133)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f1010])).
% 5.22/1.07 fof(f2195,plain,(
% 5.22/1.07 spl0_175|~spl0_120|~spl0_122|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2194,f1382,f829,f837,f965])).
% 5.22/1.07 fof(f2196,plain,(
% 5.22/1.07 ![X0]: (~empty(X0)|X0=relation_rng(relation_dom(empty_set))|~relation(empty_set)|~empty(empty_set)|~spl0_133)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f994])).
% 5.22/1.07 fof(f2197,plain,(
% 5.22/1.07 spl0_169|~spl0_120|~spl0_122|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2196,f1340,f829,f837,f965])).
% 5.22/1.07 fof(f2198,plain,(
% 5.22/1.07 ![X0]: (~empty(X0)|X0=relation_dom(empty_set)|~relation(empty_set)|~empty(empty_set)|~spl0_133)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f877])).
% 5.22/1.07 fof(f2199,plain,(
% 5.22/1.07 spl0_148|~spl0_120|~spl0_122|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2198,f1173,f829,f837,f965])).
% 5.22/1.07 fof(f2200,plain,(
% 5.22/1.07 ![X0]: (~empty(X0)|X0=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f807])).
% 5.22/1.07 fof(f2201,plain,(
% 5.22/1.07 spl0_136|~spl0_120|~spl0_122|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2200,f1089,f829,f837,f965])).
% 5.22/1.07 fof(f2202,plain,(
% 5.22/1.07 spl0_234 <=> subset(relation_image(empty_set,X0),empty_set)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2205,plain,(
% 5.22/1.07 ![X0]: (~relation(empty_set)|subset(relation_image(empty_set,X0),empty_set)|~spl0_133)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f132])).
% 5.22/1.07 fof(f2206,plain,(
% 5.22/1.07 ~spl0_120|spl0_234|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2205,f829,f2202,f965])).
% 5.22/1.07 fof(f2305,plain,(
% 5.22/1.07 spl0_235 <=> relation_dom(empty_set)=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2308,plain,(
% 5.22/1.07 relation_dom(empty_set)=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f2105])).
% 5.22/1.07 fof(f2309,plain,(
% 5.22/1.07 spl0_235|~spl0_120|~spl0_122|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2308,f2305,f829,f837,f965])).
% 5.22/1.07 fof(f2313,plain,(
% 5.22/1.07 spl0_236 <=> relation_rng(empty_set)=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2316,plain,(
% 5.22/1.07 relation_rng(empty_set)=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133|~spl0_229),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2079,f2106])).
% 5.22/1.07 fof(f2317,plain,(
% 5.22/1.07 spl0_236|~spl0_120|~spl0_122|~spl0_133|~spl0_229),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2316,f2313,f829,f837,f965,f1925])).
% 5.22/1.07 fof(f2321,plain,(
% 5.22/1.07 spl0_237 <=> relation_dom(relation_dom(empty_set))=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2324,plain,(
% 5.22/1.07 relation_dom(relation_dom(empty_set))=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f2101])).
% 5.22/1.07 fof(f2325,plain,(
% 5.22/1.07 spl0_237|~spl0_120|~spl0_122|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2324,f2321,f829,f837,f965])).
% 5.22/1.07 fof(f2330,plain,(
% 5.22/1.07 spl0_238 <=> relation_dom(relation_rng(empty_set))=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2333,plain,(
% 5.22/1.07 relation_dom(relation_rng(empty_set))=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133|~spl0_229),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2079,f2102])).
% 5.22/1.07 fof(f2334,plain,(
% 5.22/1.07 spl0_238|~spl0_120|~spl0_122|~spl0_133|~spl0_229),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2333,f2330,f829,f837,f965,f1925])).
% 5.22/1.07 fof(f2339,plain,(
% 5.22/1.07 spl0_239 <=> relation_rng(relation_dom(empty_set))=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2342,plain,(
% 5.22/1.07 relation_rng(relation_dom(empty_set))=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f2103])).
% 5.22/1.07 fof(f2343,plain,(
% 5.22/1.07 spl0_239|~spl0_120|~spl0_122|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2342,f2339,f829,f837,f965])).
% 5.22/1.07 fof(f2348,plain,(
% 5.22/1.07 spl0_240 <=> relation_rng(relation_rng(empty_set))=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2351,plain,(
% 5.22/1.07 relation_rng(relation_rng(empty_set))=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133|~spl0_229),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2079,f2104])).
% 5.22/1.07 fof(f2352,plain,(
% 5.22/1.07 spl0_240|~spl0_120|~spl0_122|~spl0_133|~spl0_229),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2351,f2348,f829,f837,f965,f1925])).
% 5.22/1.07 fof(f2363,plain,(
% 5.22/1.07 spl0_241 <=> in(sk0_5(relation_image(empty_set,X0),X1),empty_set)|~relation(X1)|relation_image(empty_set,X0)=relation_dom(X1)|in(ordered_pair(sk0_5(relation_image(empty_set,X0),X1),sk0_6(relation_image(empty_set,X0),X1)),X1)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2366,plain,(
% 5.22/1.07 ![X0,X1]: (in(sk0_5(relation_image(empty_set,X0),X1),empty_set)|~relation(empty_set)|~relation(X1)|relation_image(empty_set,X0)=relation_dom(X1)|in(ordered_pair(sk0_5(relation_image(empty_set,X0),X1),sk0_6(relation_image(empty_set,X0),X1)),X1)|~spl0_133)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f1324])).
% 5.22/1.07 fof(f2367,plain,(
% 5.22/1.07 spl0_241|~spl0_120|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2366,f2363,f829,f965])).
% 5.22/1.07 fof(f2369,plain,(
% 5.22/1.07 spl0_242 <=> in(sk0_2(X0,relation_image(empty_set,X1),X2),empty_set)|~relation(X2)|X0=relation_image(X2,relation_image(empty_set,X1))|in(sk0_1(X0,relation_image(empty_set,X1),X2),X0)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2372,plain,(
% 5.22/1.07 ![X0,X1,X2]: (in(sk0_2(X0,relation_image(empty_set,X1),X2),empty_set)|~relation(empty_set)|~relation(X2)|X0=relation_image(X2,relation_image(empty_set,X1))|in(sk0_1(X0,relation_image(empty_set,X1),X2),X0)|~spl0_133)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f1325])).
% 5.22/1.07 fof(f2373,plain,(
% 5.22/1.07 spl0_242|~spl0_120|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2372,f2369,f829,f965])).
% 5.22/1.07 fof(f2375,plain,(
% 5.22/1.07 spl0_243 <=> in(sk0_1(relation_image(empty_set,X0),X1,X2),empty_set)|~relation(X2)|relation_image(empty_set,X0)=relation_image(X2,X1)|in(ordered_pair(sk0_2(relation_image(empty_set,X0),X1,X2),sk0_1(relation_image(empty_set,X0),X1,X2)),X2)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2378,plain,(
% 5.22/1.07 ![X0,X1,X2]: (in(sk0_1(relation_image(empty_set,X0),X1,X2),empty_set)|~relation(empty_set)|~relation(X2)|relation_image(empty_set,X0)=relation_image(X2,X1)|in(ordered_pair(sk0_2(relation_image(empty_set,X0),X1,X2),sk0_1(relation_image(empty_set,X0),X1,X2)),X2)|~spl0_133)),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f1326])).
% 5.22/1.07 fof(f2379,plain,(
% 5.22/1.07 spl0_243|~spl0_120|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2378,f2375,f829,f965])).
% 5.22/1.07 fof(f2425,plain,(
% 5.22/1.07 spl0_253 <=> relation_dom(relation_dom(relation_dom(empty_set)))=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2428,plain,(
% 5.22/1.07 relation_dom(relation_dom(relation_dom(empty_set)))=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f2093])).
% 5.22/1.07 fof(f2429,plain,(
% 5.22/1.07 spl0_253|~spl0_120|~spl0_122|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2428,f2425,f829,f837,f965])).
% 5.22/1.07 fof(f2435,plain,(
% 5.22/1.07 spl0_254 <=> relation_dom(relation_dom(relation_rng(empty_set)))=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2438,plain,(
% 5.22/1.07 relation_dom(relation_dom(relation_rng(empty_set)))=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133|~spl0_229),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2079,f2094])).
% 5.22/1.07 fof(f2439,plain,(
% 5.22/1.07 spl0_254|~spl0_120|~spl0_122|~spl0_133|~spl0_229),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2438,f2435,f829,f837,f965,f1925])).
% 5.22/1.07 fof(f2445,plain,(
% 5.22/1.07 spl0_255 <=> relation_dom(relation_rng(relation_dom(empty_set)))=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2448,plain,(
% 5.22/1.07 relation_dom(relation_rng(relation_dom(empty_set)))=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f2095])).
% 5.22/1.07 fof(f2449,plain,(
% 5.22/1.07 spl0_255|~spl0_120|~spl0_122|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2448,f2445,f829,f837,f965])).
% 5.22/1.07 fof(f2455,plain,(
% 5.22/1.07 spl0_256 <=> relation_dom(relation_rng(relation_rng(empty_set)))=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2458,plain,(
% 5.22/1.07 relation_dom(relation_rng(relation_rng(empty_set)))=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133|~spl0_229),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2079,f2096])).
% 5.22/1.07 fof(f2459,plain,(
% 5.22/1.07 spl0_256|~spl0_120|~spl0_122|~spl0_133|~spl0_229),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2458,f2455,f829,f837,f965,f1925])).
% 5.22/1.07 fof(f2465,plain,(
% 5.22/1.07 spl0_257 <=> relation_rng(relation_dom(relation_dom(empty_set)))=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2468,plain,(
% 5.22/1.07 relation_rng(relation_dom(relation_dom(empty_set)))=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f2097])).
% 5.22/1.07 fof(f2469,plain,(
% 5.22/1.07 spl0_257|~spl0_120|~spl0_122|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2468,f2465,f829,f837,f965])).
% 5.22/1.07 fof(f2475,plain,(
% 5.22/1.07 spl0_258 <=> relation_rng(relation_dom(relation_rng(empty_set)))=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2478,plain,(
% 5.22/1.07 relation_rng(relation_dom(relation_rng(empty_set)))=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133|~spl0_229),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2079,f2098])).
% 5.22/1.07 fof(f2479,plain,(
% 5.22/1.07 spl0_258|~spl0_120|~spl0_122|~spl0_133|~spl0_229),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2478,f2475,f829,f837,f965,f1925])).
% 5.22/1.07 fof(f2485,plain,(
% 5.22/1.07 spl0_259 <=> relation_rng(relation_rng(relation_dom(empty_set)))=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2488,plain,(
% 5.22/1.07 relation_rng(relation_rng(relation_dom(empty_set)))=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2080,f2099])).
% 5.22/1.07 fof(f2489,plain,(
% 5.22/1.07 spl0_259|~spl0_120|~spl0_122|~spl0_133),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2488,f2485,f829,f837,f965])).
% 5.22/1.07 fof(f2495,plain,(
% 5.22/1.07 spl0_260 <=> relation_rng(relation_rng(relation_rng(empty_set)))=empty_set),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2498,plain,(
% 5.22/1.07 relation_rng(relation_rng(relation_rng(empty_set)))=empty_set|~relation(empty_set)|~empty(empty_set)|~spl0_133|~spl0_229),
% 5.22/1.07 inference(paramodulation,[status(thm)],[f2079,f2100])).
% 5.22/1.07 fof(f2499,plain,(
% 5.22/1.07 spl0_260|~spl0_120|~spl0_122|~spl0_133|~spl0_229),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2498,f2495,f829,f837,f965,f1925])).
% 5.22/1.07 fof(f2620,plain,(
% 5.22/1.07 ![X0]: (~in(X0,relation_rng(sk0_17))|in(ordered_pair(sk0_7(X0,relation_rng(sk0_17),sk0_17),X0),sk0_17))),
% 5.22/1.07 inference(resolution,[status(thm)],[f166,f135])).
% 5.22/1.07 fof(f2627,plain,(
% 5.22/1.07 ![X0]: (X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|in(ordered_pair(sk0_9(X0,sk0_17),sk0_8(X0,sk0_17)),sk0_17))),
% 5.22/1.07 inference(resolution,[status(thm)],[f90,f135])).
% 5.22/1.07 fof(f2666,plain,(
% 5.22/1.07 spl0_261 <=> ~in(X0,relation_rng(sk0_17))|in(X0,relation_rng(sk0_17))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2669,plain,(
% 5.22/1.07 spl0_262 <=> relation(sk0_17)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2671,plain,(
% 5.22/1.07 ~relation(sk0_17)|spl0_262),
% 5.22/1.07 inference(component_clause,[status(thm)],[f2669])).
% 5.22/1.07 fof(f2672,plain,(
% 5.22/1.07 ![X0]: (~in(X0,relation_rng(sk0_17))|~relation(sk0_17)|in(X0,relation_rng(sk0_17)))),
% 5.22/1.07 inference(resolution,[status(thm)],[f2620,f167])).
% 5.22/1.07 fof(f2673,plain,(
% 5.22/1.07 spl0_261|~spl0_262),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2672,f2666,f2669])).
% 5.22/1.07 fof(f2674,plain,(
% 5.22/1.07 spl0_263 <=> ~in(X0,relation_rng(sk0_17))|in(sk0_7(X0,relation_rng(sk0_17),sk0_17),relation_dom(sk0_17))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2675,plain,(
% 5.22/1.07 ![X0]: (~in(X0,relation_rng(sk0_17))|in(sk0_7(X0,relation_rng(sk0_17),sk0_17),relation_dom(sk0_17))|~spl0_263)),
% 5.22/1.07 inference(component_clause,[status(thm)],[f2674])).
% 5.22/1.07 fof(f2677,plain,(
% 5.22/1.07 ![X0]: (~in(X0,relation_rng(sk0_17))|~relation(sk0_17)|in(sk0_7(X0,relation_rng(sk0_17),sk0_17),relation_dom(sk0_17)))),
% 5.22/1.07 inference(resolution,[status(thm)],[f2620,f165])).
% 5.22/1.07 fof(f2678,plain,(
% 5.22/1.07 spl0_263|~spl0_262),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2677,f2674,f2669])).
% 5.22/1.07 fof(f2679,plain,(
% 5.22/1.07 spl0_264 <=> ~in(X0,relation_rng(sk0_17))|in(X0,relation_image(sk0_17,X1))|~in(sk0_7(X0,relation_rng(sk0_17),sk0_17),X1)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2680,plain,(
% 5.22/1.07 ![X0,X1]: (~in(X0,relation_rng(sk0_17))|in(X0,relation_image(sk0_17,X1))|~in(sk0_7(X0,relation_rng(sk0_17),sk0_17),X1)|~spl0_264)),
% 5.22/1.07 inference(component_clause,[status(thm)],[f2679])).
% 5.22/1.07 fof(f2682,plain,(
% 5.22/1.07 ![X0,X1]: (~in(X0,relation_rng(sk0_17))|~relation(sk0_17)|in(X0,relation_image(sk0_17,X1))|~in(sk0_7(X0,relation_rng(sk0_17),sk0_17),X1))),
% 5.22/1.07 inference(resolution,[status(thm)],[f2620,f163])).
% 5.22/1.07 fof(f2683,plain,(
% 5.22/1.07 spl0_264|~spl0_262),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2682,f2679,f2669])).
% 5.22/1.07 fof(f2685,plain,(
% 5.22/1.07 $false|spl0_262),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2671,f135])).
% 5.22/1.07 fof(f2686,plain,(
% 5.22/1.07 spl0_262),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2685])).
% 5.22/1.07 fof(f2687,plain,(
% 5.22/1.07 spl0_265 <=> ~in(X0,relation_rng(sk0_17))|in(ordered_pair(sk0_7(X0,relation_rng(sk0_17),sk0_17),sk0_4(sk0_7(X0,relation_rng(sk0_17),sk0_17),relation_dom(sk0_17),sk0_17)),sk0_17)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2690,plain,(
% 5.22/1.07 ![X0]: (~in(X0,relation_rng(sk0_17))|~relation(sk0_17)|in(ordered_pair(sk0_7(X0,relation_rng(sk0_17),sk0_17),sk0_4(sk0_7(X0,relation_rng(sk0_17),sk0_17),relation_dom(sk0_17),sk0_17)),sk0_17)|~spl0_263)),
% 5.22/1.07 inference(resolution,[status(thm)],[f2675,f164])).
% 5.22/1.07 fof(f2691,plain,(
% 5.22/1.07 spl0_265|~spl0_262|~spl0_263),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2690,f2687,f2669,f2674])).
% 5.22/1.07 fof(f2693,plain,(
% 5.22/1.07 ![X0]: (~in(X0,relation_rng(sk0_17))|in(X0,relation_image(sk0_17,relation_dom(sk0_17)))|~in(X0,relation_rng(sk0_17))|~spl0_264|~spl0_263)),
% 5.22/1.07 inference(resolution,[status(thm)],[f2680,f2675])).
% 5.22/1.07 fof(f2694,plain,(
% 5.22/1.07 ![X0]: (~in(X0,relation_rng(sk0_17))|in(X0,relation_image(sk0_17,relation_dom(sk0_17)))|~spl0_264|~spl0_263)),
% 5.22/1.07 inference(duplicate_literals_removal,[status(esa)],[f2693])).
% 5.22/1.07 fof(f2695,plain,(
% 5.22/1.07 spl0_266 <=> X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|in(sk0_8(X0,sk0_17),relation_rng(sk0_17))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2696,plain,(
% 5.22/1.07 ![X0]: (X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|in(sk0_8(X0,sk0_17),relation_rng(sk0_17))|~spl0_266)),
% 5.22/1.07 inference(component_clause,[status(thm)],[f2695])).
% 5.22/1.07 fof(f2698,plain,(
% 5.22/1.07 ![X0]: (X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|~relation(sk0_17)|in(sk0_8(X0,sk0_17),relation_rng(sk0_17)))),
% 5.22/1.07 inference(resolution,[status(thm)],[f2627,f167])).
% 5.22/1.07 fof(f2699,plain,(
% 5.22/1.07 spl0_266|~spl0_262),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2698,f2695,f2669])).
% 5.22/1.07 fof(f2700,plain,(
% 5.22/1.07 spl0_267 <=> X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|in(sk0_9(X0,sk0_17),relation_dom(sk0_17))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2701,plain,(
% 5.22/1.07 ![X0]: (X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|in(sk0_9(X0,sk0_17),relation_dom(sk0_17))|~spl0_267)),
% 5.22/1.07 inference(component_clause,[status(thm)],[f2700])).
% 5.22/1.07 fof(f2703,plain,(
% 5.22/1.07 ![X0]: (X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|~relation(sk0_17)|in(sk0_9(X0,sk0_17),relation_dom(sk0_17)))),
% 5.22/1.07 inference(resolution,[status(thm)],[f2627,f165])).
% 5.22/1.07 fof(f2704,plain,(
% 5.22/1.07 spl0_267|~spl0_262),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2703,f2700,f2669])).
% 5.22/1.07 fof(f2705,plain,(
% 5.22/1.07 spl0_268 <=> X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|in(sk0_8(X0,sk0_17),relation_image(sk0_17,X1))|~in(sk0_9(X0,sk0_17),X1)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2708,plain,(
% 5.22/1.07 ![X0,X1]: (X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|~relation(sk0_17)|in(sk0_8(X0,sk0_17),relation_image(sk0_17,X1))|~in(sk0_9(X0,sk0_17),X1))),
% 5.22/1.07 inference(resolution,[status(thm)],[f2627,f163])).
% 5.22/1.07 fof(f2709,plain,(
% 5.22/1.07 spl0_268|~spl0_262),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2708,f2705,f2669])).
% 5.22/1.07 fof(f2711,plain,(
% 5.22/1.07 spl0_269 <=> in(sk0_5(relation_image(sk0_17,X0),X1),relation_image(sk0_17,relation_dom(sk0_17)))|~relation(X1)|relation_image(sk0_17,X0)=relation_dom(X1)|in(ordered_pair(sk0_5(relation_image(sk0_17,X0),X1),sk0_6(relation_image(sk0_17,X0),X1)),X1)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2714,plain,(
% 5.22/1.07 ![X0,X1]: (in(sk0_5(relation_image(sk0_17,X0),X1),relation_image(sk0_17,relation_dom(sk0_17)))|~relation(sk0_17)|~relation(X1)|relation_image(sk0_17,X0)=relation_dom(X1)|in(ordered_pair(sk0_5(relation_image(sk0_17,X0),X1),sk0_6(relation_image(sk0_17,X0),X1)),X1)|~spl0_264|~spl0_263)),
% 5.22/1.07 inference(resolution,[status(thm)],[f2694,f1324])).
% 5.22/1.07 fof(f2715,plain,(
% 5.22/1.07 spl0_269|~spl0_262|~spl0_264|~spl0_263),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2714,f2711,f2669,f2679,f2674])).
% 5.22/1.07 fof(f2717,plain,(
% 5.22/1.07 spl0_270 <=> in(sk0_2(X0,relation_image(sk0_17,X1),X2),relation_image(sk0_17,relation_dom(sk0_17)))|~relation(X2)|X0=relation_image(X2,relation_image(sk0_17,X1))|in(sk0_1(X0,relation_image(sk0_17,X1),X2),X0)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2720,plain,(
% 5.22/1.07 ![X0,X1,X2]: (in(sk0_2(X0,relation_image(sk0_17,X1),X2),relation_image(sk0_17,relation_dom(sk0_17)))|~relation(sk0_17)|~relation(X2)|X0=relation_image(X2,relation_image(sk0_17,X1))|in(sk0_1(X0,relation_image(sk0_17,X1),X2),X0)|~spl0_264|~spl0_263)),
% 5.22/1.07 inference(resolution,[status(thm)],[f2694,f1325])).
% 5.22/1.07 fof(f2721,plain,(
% 5.22/1.07 spl0_270|~spl0_262|~spl0_264|~spl0_263),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2720,f2717,f2669,f2679,f2674])).
% 5.22/1.07 fof(f2723,plain,(
% 5.22/1.07 spl0_271 <=> in(sk0_1(relation_image(sk0_17,X0),X1,X2),relation_image(sk0_17,relation_dom(sk0_17)))|~relation(X2)|relation_image(sk0_17,X0)=relation_image(X2,X1)|in(ordered_pair(sk0_2(relation_image(sk0_17,X0),X1,X2),sk0_1(relation_image(sk0_17,X0),X1,X2)),X2)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2726,plain,(
% 5.22/1.07 ![X0,X1,X2]: (in(sk0_1(relation_image(sk0_17,X0),X1,X2),relation_image(sk0_17,relation_dom(sk0_17)))|~relation(sk0_17)|~relation(X2)|relation_image(sk0_17,X0)=relation_image(X2,X1)|in(ordered_pair(sk0_2(relation_image(sk0_17,X0),X1,X2),sk0_1(relation_image(sk0_17,X0),X1,X2)),X2)|~spl0_264|~spl0_263)),
% 5.22/1.07 inference(resolution,[status(thm)],[f2694,f1326])).
% 5.22/1.07 fof(f2727,plain,(
% 5.22/1.07 spl0_271|~spl0_262|~spl0_264|~spl0_263),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2726,f2723,f2669,f2679,f2674])).
% 5.22/1.07 fof(f2740,plain,(
% 5.22/1.07 ![X0]: (X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|in(sk0_8(X0,sk0_17),relation_image(sk0_17,relation_dom(sk0_17)))|~spl0_266|~spl0_264|~spl0_263)),
% 5.22/1.07 inference(resolution,[status(thm)],[f2696,f2694])).
% 5.22/1.07 fof(f2742,plain,(
% 5.22/1.07 ~empty(relation_dom(empty_set))|~spl0_133|spl0_210),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f966,f1629])).
% 5.22/1.07 fof(f2743,plain,(
% 5.22/1.07 ~empty(empty_set)|~spl0_229|~spl0_133|spl0_210),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f2079,f2742])).
% 5.22/1.07 fof(f2744,plain,(
% 5.22/1.07 $false|~spl0_229|~spl0_133|spl0_210),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2743,f95])).
% 5.22/1.07 fof(f2745,plain,(
% 5.22/1.07 ~spl0_229|~spl0_133|spl0_210),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2744])).
% 5.22/1.07 fof(f2746,plain,(
% 5.22/1.07 ~empty(relation_dom(empty_set))|~spl0_133|spl0_209),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f966,f1630])).
% 5.22/1.07 fof(f2747,plain,(
% 5.22/1.07 ~empty(empty_set)|~spl0_229|~spl0_133|spl0_209),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f2079,f2746])).
% 5.22/1.07 fof(f2748,plain,(
% 5.22/1.07 $false|~spl0_229|~spl0_133|spl0_209),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2747,f95])).
% 5.22/1.07 fof(f2749,plain,(
% 5.22/1.07 ~spl0_229|~spl0_133|spl0_209),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2748])).
% 5.22/1.07 fof(f2750,plain,(
% 5.22/1.07 ~empty(relation_rng(empty_set))|~spl0_133|spl0_206),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f966,f1603])).
% 5.22/1.07 fof(f2751,plain,(
% 5.22/1.07 ~empty(empty_set)|~spl0_133|spl0_206),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f2080,f2750])).
% 5.22/1.07 fof(f2752,plain,(
% 5.22/1.07 $false|~spl0_133|spl0_206),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2751,f95])).
% 5.22/1.07 fof(f2753,plain,(
% 5.22/1.07 ~spl0_133|spl0_206),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2752])).
% 5.22/1.07 fof(f2754,plain,(
% 5.22/1.07 ~empty(relation_rng(empty_set))|~spl0_133|spl0_205),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f966,f1604])).
% 5.22/1.07 fof(f2755,plain,(
% 5.22/1.07 ~empty(empty_set)|~spl0_133|spl0_205),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f2080,f2754])).
% 5.22/1.07 fof(f2756,plain,(
% 5.22/1.07 $false|~spl0_133|spl0_205),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2755,f95])).
% 5.22/1.07 fof(f2757,plain,(
% 5.22/1.07 ~spl0_133|spl0_205),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2756])).
% 5.22/1.07 fof(f2758,plain,(
% 5.22/1.07 ~empty(relation_dom(empty_set))|~spl0_133|spl0_221),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f966,f1704])).
% 5.22/1.07 fof(f2759,plain,(
% 5.22/1.07 ~empty(empty_set)|~spl0_229|~spl0_133|spl0_221),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f2079,f2758])).
% 5.22/1.07 fof(f2760,plain,(
% 5.22/1.07 $false|~spl0_229|~spl0_133|spl0_221),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2759,f95])).
% 5.22/1.07 fof(f2761,plain,(
% 5.22/1.07 ~spl0_229|~spl0_133|spl0_221),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2760])).
% 5.22/1.07 fof(f2762,plain,(
% 5.22/1.07 ~empty(relation_dom(empty_set))|~spl0_133|spl0_220),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f966,f1705])).
% 5.22/1.07 fof(f2763,plain,(
% 5.22/1.07 ~empty(empty_set)|~spl0_229|~spl0_133|spl0_220),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f2079,f2762])).
% 5.22/1.07 fof(f2764,plain,(
% 5.22/1.07 $false|~spl0_229|~spl0_133|spl0_220),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2763,f95])).
% 5.22/1.07 fof(f2765,plain,(
% 5.22/1.07 ~spl0_229|~spl0_133|spl0_220),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2764])).
% 5.22/1.07 fof(f2766,plain,(
% 5.22/1.07 ~empty(relation_rng(empty_set))|~spl0_133|spl0_217),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f966,f1675])).
% 5.22/1.07 fof(f2767,plain,(
% 5.22/1.07 ~empty(empty_set)|~spl0_133|spl0_217),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f2080,f2766])).
% 5.22/1.07 fof(f2768,plain,(
% 5.22/1.07 $false|~spl0_133|spl0_217),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2767,f95])).
% 5.22/1.07 fof(f2769,plain,(
% 5.22/1.07 ~spl0_133|spl0_217),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2768])).
% 5.22/1.07 fof(f2770,plain,(
% 5.22/1.07 ~empty(relation_rng(empty_set))|~spl0_133|spl0_216),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f966,f1676])).
% 5.22/1.07 fof(f2771,plain,(
% 5.22/1.07 ~empty(empty_set)|~spl0_133|spl0_216),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f2080,f2770])).
% 5.22/1.07 fof(f2772,plain,(
% 5.22/1.07 $false|~spl0_133|spl0_216),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2771,f95])).
% 5.22/1.07 fof(f2773,plain,(
% 5.22/1.07 ~spl0_133|spl0_216),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2772])).
% 5.22/1.07 fof(f2774,plain,(
% 5.22/1.07 ~empty(relation_dom(empty_set))|~spl0_133|spl0_222),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f966,f1703])).
% 5.22/1.07 fof(f2775,plain,(
% 5.22/1.07 ~empty(empty_set)|~spl0_229|~spl0_133|spl0_222),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f2079,f2774])).
% 5.22/1.07 fof(f2776,plain,(
% 5.22/1.07 $false|~spl0_229|~spl0_133|spl0_222),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2775,f95])).
% 5.22/1.07 fof(f2777,plain,(
% 5.22/1.07 ~spl0_229|~spl0_133|spl0_222),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2776])).
% 5.22/1.07 fof(f2778,plain,(
% 5.22/1.07 ~empty(relation_rng(empty_set))|~spl0_133|spl0_218),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f966,f1674])).
% 5.22/1.07 fof(f2779,plain,(
% 5.22/1.07 ~empty(empty_set)|~spl0_133|spl0_218),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f2080,f2778])).
% 5.22/1.07 fof(f2780,plain,(
% 5.22/1.07 $false|~spl0_133|spl0_218),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2779,f95])).
% 5.22/1.07 fof(f2781,plain,(
% 5.22/1.07 ~spl0_133|spl0_218),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2780])).
% 5.22/1.07 fof(f2782,plain,(
% 5.22/1.07 ~empty(relation_dom(empty_set))|~spl0_133|spl0_211),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f966,f1628])).
% 5.22/1.07 fof(f2783,plain,(
% 5.22/1.07 ~empty(empty_set)|~spl0_229|~spl0_133|spl0_211),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f2079,f2782])).
% 5.22/1.07 fof(f2784,plain,(
% 5.22/1.07 $false|~spl0_229|~spl0_133|spl0_211),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2783,f95])).
% 5.22/1.07 fof(f2785,plain,(
% 5.22/1.07 ~spl0_229|~spl0_133|spl0_211),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2784])).
% 5.22/1.07 fof(f2786,plain,(
% 5.22/1.07 ~empty(relation_rng(empty_set))|~spl0_133|spl0_207),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f966,f1602])).
% 5.22/1.07 fof(f2787,plain,(
% 5.22/1.07 ~empty(empty_set)|~spl0_133|spl0_207),
% 5.22/1.07 inference(forward_demodulation,[status(thm)],[f2080,f2786])).
% 5.22/1.07 fof(f2788,plain,(
% 5.22/1.07 $false|~spl0_133|spl0_207),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2787,f95])).
% 5.22/1.07 fof(f2789,plain,(
% 5.22/1.07 ~spl0_133|spl0_207),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2788])).
% 5.22/1.07 fof(f2837,plain,(
% 5.22/1.07 spl0_275 <=> X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|in(ordered_pair(sk0_9(X0,sk0_17),sk0_4(sk0_9(X0,sk0_17),relation_dom(sk0_17),sk0_17)),sk0_17)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2840,plain,(
% 5.22/1.07 ![X0]: (X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|~relation(sk0_17)|in(ordered_pair(sk0_9(X0,sk0_17),sk0_4(sk0_9(X0,sk0_17),relation_dom(sk0_17),sk0_17)),sk0_17)|~spl0_267)),
% 5.22/1.07 inference(resolution,[status(thm)],[f2701,f164])).
% 5.22/1.07 fof(f2841,plain,(
% 5.22/1.07 spl0_275|~spl0_262|~spl0_267),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2840,f2837,f2669,f2700])).
% 5.22/1.07 fof(f2843,plain,(
% 5.22/1.07 spl0_276 <=> relation_image(sk0_17,relation_dom(sk0_17))=relation_rng(sk0_17)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2844,plain,(
% 5.22/1.07 relation_image(sk0_17,relation_dom(sk0_17))=relation_rng(sk0_17)|~spl0_276),
% 5.22/1.07 inference(component_clause,[status(thm)],[f2843])).
% 5.22/1.07 fof(f2846,plain,(
% 5.22/1.07 spl0_277 <=> in(sk0_8(relation_image(sk0_17,relation_dom(sk0_17)),sk0_17),relation_image(sk0_17,relation_dom(sk0_17)))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2847,plain,(
% 5.22/1.07 in(sk0_8(relation_image(sk0_17,relation_dom(sk0_17)),sk0_17),relation_image(sk0_17,relation_dom(sk0_17)))|~spl0_277),
% 5.22/1.07 inference(component_clause,[status(thm)],[f2846])).
% 5.22/1.07 fof(f2849,plain,(
% 5.22/1.07 spl0_278 <=> ~in(ordered_pair(X0,sk0_8(relation_image(sk0_17,relation_dom(sk0_17)),sk0_17)),sk0_17)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2850,plain,(
% 5.22/1.07 ![X0]: (~in(ordered_pair(X0,sk0_8(relation_image(sk0_17,relation_dom(sk0_17)),sk0_17)),sk0_17)|~spl0_278)),
% 5.22/1.07 inference(component_clause,[status(thm)],[f2849])).
% 5.22/1.07 fof(f2852,plain,(
% 5.22/1.07 ![X0]: (relation_image(sk0_17,relation_dom(sk0_17))=relation_rng(sk0_17)|in(sk0_8(relation_image(sk0_17,relation_dom(sk0_17)),sk0_17),relation_image(sk0_17,relation_dom(sk0_17)))|~relation(sk0_17)|relation_image(sk0_17,relation_dom(sk0_17))=relation_rng(sk0_17)|~in(ordered_pair(X0,sk0_8(relation_image(sk0_17,relation_dom(sk0_17)),sk0_17)),sk0_17)|~spl0_266|~spl0_264|~spl0_263)),
% 5.22/1.07 inference(resolution,[status(thm)],[f2740,f89])).
% 5.22/1.07 fof(f2853,plain,(
% 5.22/1.07 spl0_276|spl0_277|~spl0_262|spl0_278|~spl0_266|~spl0_264|~spl0_263),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2852,f2843,f2846,f2669,f2849,f2695,f2679,f2674])).
% 5.22/1.07 fof(f2856,plain,(
% 5.22/1.07 spl0_279 <=> X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|in(sk0_0(sk0_8(X0,sk0_17),relation_image(sk0_17,relation_dom(sk0_17)),relation_dom(sk0_17),sk0_17),relation_dom(sk0_17))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2859,plain,(
% 5.22/1.07 ![X0]: (X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|~relation(sk0_17)|in(sk0_0(sk0_8(X0,sk0_17),relation_image(sk0_17,relation_dom(sk0_17)),relation_dom(sk0_17),sk0_17),relation_dom(sk0_17))|~spl0_266|~spl0_264|~spl0_263)),
% 5.22/1.07 inference(resolution,[status(thm)],[f2740,f162])).
% 5.22/1.07 fof(f2860,plain,(
% 5.22/1.07 spl0_279|~spl0_262|~spl0_266|~spl0_264|~spl0_263),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2859,f2856,f2669,f2695,f2679,f2674])).
% 5.22/1.07 fof(f2861,plain,(
% 5.22/1.07 spl0_280 <=> X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|in(ordered_pair(sk0_0(sk0_8(X0,sk0_17),relation_image(sk0_17,relation_dom(sk0_17)),relation_dom(sk0_17),sk0_17),sk0_8(X0,sk0_17)),sk0_17)),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2864,plain,(
% 5.22/1.07 ![X0]: (X0=relation_rng(sk0_17)|in(sk0_8(X0,sk0_17),X0)|~relation(sk0_17)|in(ordered_pair(sk0_0(sk0_8(X0,sk0_17),relation_image(sk0_17,relation_dom(sk0_17)),relation_dom(sk0_17),sk0_17),sk0_8(X0,sk0_17)),sk0_17)|~spl0_266|~spl0_264|~spl0_263)),
% 5.22/1.07 inference(resolution,[status(thm)],[f2740,f161])).
% 5.22/1.07 fof(f2865,plain,(
% 5.22/1.07 spl0_280|~spl0_262|~spl0_266|~spl0_264|~spl0_263),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2864,f2861,f2669,f2695,f2679,f2674])).
% 5.22/1.07 fof(f2867,plain,(
% 5.22/1.07 relation_image(sk0_17,relation_dom(sk0_17))=relation_rng(sk0_17)|in(sk0_8(relation_image(sk0_17,relation_dom(sk0_17)),sk0_17),relation_image(sk0_17,relation_dom(sk0_17)))|~spl0_278),
% 5.22/1.07 inference(resolution,[status(thm)],[f2850,f2627])).
% 5.22/1.07 fof(f2868,plain,(
% 5.22/1.07 spl0_276|spl0_277|~spl0_278),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2867,f2843,f2846,f2849])).
% 5.22/1.07 fof(f2869,plain,(
% 5.22/1.07 ~in(sk0_8(relation_image(sk0_17,relation_dom(sk0_17)),sk0_17),relation_rng(sk0_17))|~spl0_278),
% 5.22/1.07 inference(resolution,[status(thm)],[f2850,f2620])).
% 5.22/1.07 fof(f2870,plain,(
% 5.22/1.07 ![X0]: (~relation(sk0_17)|relation_image(sk0_17,relation_dom(sk0_17))=relation_rng(sk0_17)|~in(ordered_pair(X0,sk0_8(relation_image(sk0_17,relation_dom(sk0_17)),sk0_17)),sk0_17)|~spl0_277)),
% 5.22/1.07 inference(resolution,[status(thm)],[f2847,f89])).
% 5.22/1.07 fof(f2871,plain,(
% 5.22/1.07 ~spl0_262|spl0_276|spl0_278|~spl0_277),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2870,f2669,f2843,f2849,f2846])).
% 5.22/1.07 fof(f2872,plain,(
% 5.22/1.07 spl0_281 <=> in(sk0_8(relation_image(sk0_17,relation_dom(sk0_17)),sk0_17),relation_rng(sk0_17))),
% 5.22/1.07 introduced(split_symbol_definition)).
% 5.22/1.07 fof(f2873,plain,(
% 5.22/1.07 in(sk0_8(relation_image(sk0_17,relation_dom(sk0_17)),sk0_17),relation_rng(sk0_17))|~spl0_281),
% 5.22/1.07 inference(component_clause,[status(thm)],[f2872])).
% 5.22/1.07 fof(f2875,plain,(
% 5.22/1.07 in(sk0_8(relation_image(sk0_17,relation_dom(sk0_17)),sk0_17),relation_rng(sk0_17))|~relation(sk0_17)|~spl0_277),
% 5.22/1.07 inference(resolution,[status(thm)],[f2847,f1295])).
% 5.22/1.07 fof(f2876,plain,(
% 5.22/1.07 spl0_281|~spl0_262|~spl0_277),
% 5.22/1.07 inference(split_clause,[status(thm)],[f2875,f2872,f2669,f2846])).
% 5.22/1.07 fof(f2888,plain,(
% 5.22/1.07 $false|~spl0_276),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2844,f136])).
% 5.22/1.07 fof(f2889,plain,(
% 5.22/1.07 ~spl0_276),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2888])).
% 5.22/1.07 fof(f2893,plain,(
% 5.22/1.07 $false|~spl0_278|~spl0_281),
% 5.22/1.07 inference(forward_subsumption_resolution,[status(thm)],[f2873,f2869])).
% 5.22/1.07 fof(f2894,plain,(
% 5.22/1.07 ~spl0_278|~spl0_281),
% 5.22/1.07 inference(contradiction_clause,[status(thm)],[f2893])).
% 5.22/1.07 fof(f2895,plain,(
% 5.22/1.07 $false),
% 5.22/1.07 inference(sat_refutation,[status(thm)],[f175,f180,f785,f836,f844,f849,f851,f853,f893,f903,f918,f928,f1235,f1256,f1272,f1277,f1304,f1309,f1314,f1334,f1339,f1355,f1360,f1376,f1381,f1397,f1402,f1407,f1434,f1439,f1444,f1455,f1460,f1465,f1476,f1481,f1486,f1497,f1502,f1507,f1518,f1523,f1528,f1539,f1544,f1549,f1560,f1565,f1570,f1581,f1601,f1633,f1679,f1708,f1711,f1719,f1731,f1737,f1739,f1751,f1757,f1759,f1771,f1777,f1791,f1797,f1799,f1811,f1817,f1819,f1836,f1841,f1846,f1864,f1882,f1884,f1886,f1888,f1890,f1892,f1894,f1905,f1912,f1924,f1929,f1968,f2006,f2018,f2030,f2054,f2149,f2184,f2189,f2195,f2197,f2199,f2201,f2206,f2309,f2317,f2325,f2334,f2343,f2352,f2367,f2373,f2379,f2429,f2439,f2449,f2459,f2469,f2479,f2489,f2499,f2673,f2678,f2683,f2686,f2691,f2699,f2704,f2709,f2715,f2721,f2727,f2745,f2749,f2753,f2757,f2761,f2765,f2769,f2773,f2777,f2781,f2785,f2789,f2841,f2853,f2860,f2865,f2868,f2871,f2876,f2889,f2894])).
% 5.22/1.07 % SZS output end CNFRefutation for theBenchmark.p
% 5.22/1.08 % Elapsed time: 0.727199 seconds
% 5.22/1.08 % CPU time: 5.569397 seconds
% 5.22/1.08 % Memory used: 106.457 MB
%------------------------------------------------------------------------------