TSTP Solution File: SEU248+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU248+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:36:28 EDT 2023
% Result : Theorem 40.32s 5.52s
% Output : CNFRefutation 40.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU248+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n029.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 09:27:51 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 40.32/5.52 % Refutation found
% 40.32/5.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 40.32/5.52 % SZS output start CNFRefutation for theBenchmark
% 40.32/5.52 fof(f1,axiom,(
% 40.32/5.52 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f5,axiom,(
% 40.32/5.52 (! [A,B] :( relation(B)=> (! [C] :( relation(C)=> ( C = relation_rng_restriction(A,B)<=> (! [D,E] :( in(ordered_pair(D,E),C)<=> ( in(E,A)& in(ordered_pair(D,E),B) ) ) )) ) )) )),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f6,axiom,(
% 40.32/5.52 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f7,axiom,(
% 40.32/5.52 (! [A] :( relation(A)=> (! [B] :( B = relation_dom(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(C,D),A) )) )) )) )),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f15,axiom,(
% 40.32/5.52 (! [A,B] :( relation(B)=> relation(relation_rng_restriction(A,B)) ) )),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f17,axiom,(
% 40.32/5.52 (! [A] :(? [B] : element(B,A) ))),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f18,axiom,(
% 40.32/5.52 empty(empty_set) ),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f21,conjecture,(
% 40.32/5.52 (! [A,B] :( relation(B)=> subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ) )),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f22,negated_conjecture,(
% 40.32/5.52 ~((! [A,B] :( relation(B)=> subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ) ))),
% 40.32/5.52 inference(negated_conjecture,[status(cth)],[f21])).
% 40.32/5.52 fof(f23,axiom,(
% 40.32/5.52 (? [A] :( relation(A)& function(A) ) )),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f25,axiom,(
% 40.32/5.52 (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f27,axiom,(
% 40.32/5.52 (? [A] :( relation(A)& function(A)& one_to_one(A) ) )),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f30,axiom,(
% 40.32/5.52 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f31,axiom,(
% 40.32/5.52 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f34,axiom,(
% 40.32/5.52 (! [A] :( empty(A)=> A = empty_set ) )),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f35,axiom,(
% 40.32/5.52 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 40.32/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.32/5.52 fof(f37,plain,(
% 40.32/5.52 ![A,B]: (~in(A,B)|~in(B,A))),
% 40.32/5.52 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 40.32/5.52 fof(f38,plain,(
% 40.32/5.52 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 40.32/5.52 inference(cnf_transformation,[status(esa)],[f37])).
% 40.32/5.52 fof(f46,plain,(
% 40.32/5.52 ![A,B]: (~relation(B)|(![C]: (~relation(C)|(C=relation_rng_restriction(A,B)<=>(![D,E]: (in(ordered_pair(D,E),C)<=>(in(E,A)&in(ordered_pair(D,E),B))))))))),
% 40.32/5.52 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 40.32/5.52 fof(f47,plain,(
% 40.32/5.52 ![A,B]: (~relation(B)|(![C]: (~relation(C)|((~C=relation_rng_restriction(A,B)|(![D,E]: ((~in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B)))&(in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B))))))&(C=relation_rng_restriction(A,B)|(?[D,E]: ((~in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B)))&(in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B))))))))))),
% 40.32/5.52 inference(NNF_transformation,[status(esa)],[f46])).
% 40.32/5.52 fof(f48,plain,(
% 40.32/5.52 ![B]: (~relation(B)|(![C]: (~relation(C)|((![A]: (~C=relation_rng_restriction(A,B)|((![D,E]: (~in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B))))&(![D,E]: (in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B)))))))&(![A]: (C=relation_rng_restriction(A,B)|(?[D,E]: ((~in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B)))&(in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B)))))))))))),
% 40.32/5.52 inference(miniscoping,[status(esa)],[f47])).
% 40.32/5.52 fof(f49,plain,(
% 40.32/5.52 ![B]: (~relation(B)|(![C]: (~relation(C)|((![A]: (~C=relation_rng_restriction(A,B)|((![D,E]: (~in(ordered_pair(D,E),C)|(in(E,A)&in(ordered_pair(D,E),B))))&(![D,E]: (in(ordered_pair(D,E),C)|(~in(E,A)|~in(ordered_pair(D,E),B)))))))&(![A]: (C=relation_rng_restriction(A,B)|((~in(ordered_pair(sk0_0(A,C,B),sk0_1(A,C,B)),C)|(~in(sk0_1(A,C,B),A)|~in(ordered_pair(sk0_0(A,C,B),sk0_1(A,C,B)),B)))&(in(ordered_pair(sk0_0(A,C,B),sk0_1(A,C,B)),C)|(in(sk0_1(A,C,B),A)&in(ordered_pair(sk0_0(A,C,B),sk0_1(A,C,B)),B))))))))))),
% 40.92/5.54 inference(skolemization,[status(esa)],[f48])).
% 40.92/5.54 fof(f51,plain,(
% 40.92/5.54 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|~X1=relation_rng_restriction(X2,X0)|~in(ordered_pair(X3,X4),X1)|in(ordered_pair(X3,X4),X0))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f49])).
% 40.92/5.54 fof(f54,plain,(
% 40.92/5.54 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(X2,X0)|in(ordered_pair(sk0_0(X2,X1,X0),sk0_1(X2,X1,X0)),X1)|in(sk0_1(X2,X1,X0),X2))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f49])).
% 40.92/5.54 fof(f55,plain,(
% 40.92/5.54 ![X0,X1,X2]: (~relation(X0)|~relation(X1)|X1=relation_rng_restriction(X2,X0)|in(ordered_pair(sk0_0(X2,X1,X0),sk0_1(X2,X1,X0)),X1)|in(ordered_pair(sk0_0(X2,X1,X0),sk0_1(X2,X1,X0)),X0))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f49])).
% 40.92/5.54 fof(f56,plain,(
% 40.92/5.54 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 40.92/5.54 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 40.92/5.54 fof(f57,plain,(
% 40.92/5.54 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 40.92/5.54 inference(NNF_transformation,[status(esa)],[f56])).
% 40.92/5.54 fof(f58,plain,(
% 40.92/5.54 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 40.92/5.54 inference(miniscoping,[status(esa)],[f57])).
% 40.92/5.54 fof(f59,plain,(
% 40.92/5.54 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sk0_2(B,A),A)&~in(sk0_2(B,A),B))))),
% 40.92/5.54 inference(skolemization,[status(esa)],[f58])).
% 40.92/5.54 fof(f60,plain,(
% 40.92/5.54 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f59])).
% 40.92/5.54 fof(f61,plain,(
% 40.92/5.54 ![X0,X1]: (subset(X0,X1)|in(sk0_2(X1,X0),X0))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f59])).
% 40.92/5.54 fof(f62,plain,(
% 40.92/5.54 ![X0,X1]: (subset(X0,X1)|~in(sk0_2(X1,X0),X1))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f59])).
% 40.92/5.54 fof(f63,plain,(
% 40.92/5.54 ![A]: (~relation(A)|(![B]: (B=relation_dom(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(C,D),A)))))))),
% 40.92/5.54 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 40.92/5.54 fof(f64,plain,(
% 40.92/5.54 ![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)))))))))),
% 40.92/5.54 inference(NNF_transformation,[status(esa)],[f63])).
% 40.92/5.54 fof(f65,plain,(
% 40.92/5.54 ![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)))))))))),
% 40.92/5.54 inference(miniscoping,[status(esa)],[f64])).
% 40.92/5.54 fof(f66,plain,(
% 40.92/5.54 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|in(ordered_pair(C,sk0_3(C,B,A)),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|((~in(sk0_4(B,A),B)|(![D]: ~in(ordered_pair(sk0_4(B,A),D),A)))&(in(sk0_4(B,A),B)|in(ordered_pair(sk0_4(B,A),sk0_5(B,A)),A)))))))),
% 40.92/5.54 inference(skolemization,[status(esa)],[f65])).
% 40.92/5.54 fof(f67,plain,(
% 40.92/5.54 ![X0,X1,X2]: (~relation(X0)|~X1=relation_dom(X0)|~in(X2,X1)|in(ordered_pair(X2,sk0_3(X2,X1,X0)),X0))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f66])).
% 40.92/5.54 fof(f68,plain,(
% 40.92/5.54 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_dom(X0)|in(X2,X1)|~in(ordered_pair(X2,X3),X0))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f66])).
% 40.92/5.54 fof(f72,plain,(
% 40.92/5.54 ![A,B]: (~relation(B)|relation(relation_rng_restriction(A,B)))),
% 40.92/5.54 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 40.92/5.54 fof(f73,plain,(
% 40.92/5.54 ![B]: (~relation(B)|(![A]: relation(relation_rng_restriction(A,B))))),
% 40.92/5.54 inference(miniscoping,[status(esa)],[f72])).
% 40.92/5.54 fof(f74,plain,(
% 40.92/5.54 ![X0,X1]: (~relation(X0)|relation(relation_rng_restriction(X1,X0)))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f73])).
% 40.92/5.54 fof(f75,plain,(
% 40.92/5.54 ![A]: element(sk0_6(A),A)),
% 40.92/5.54 inference(skolemization,[status(esa)],[f17])).
% 40.92/5.54 fof(f76,plain,(
% 40.92/5.54 ![X0]: (element(sk0_6(X0),X0))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f75])).
% 40.92/5.54 fof(f77,plain,(
% 40.92/5.54 empty(empty_set)),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f18])).
% 40.92/5.54 fof(f83,plain,(
% 40.92/5.54 (?[A,B]: (relation(B)&~subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B))))),
% 40.92/5.54 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 40.92/5.54 fof(f84,plain,(
% 40.92/5.54 ?[B]: (relation(B)&(?[A]: ~subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B))))),
% 40.92/5.54 inference(miniscoping,[status(esa)],[f83])).
% 40.92/5.54 fof(f85,plain,(
% 40.92/5.54 (relation(sk0_7)&~subset(relation_dom(relation_rng_restriction(sk0_8,sk0_7)),relation_dom(sk0_7)))),
% 40.92/5.54 inference(skolemization,[status(esa)],[f84])).
% 40.92/5.54 fof(f86,plain,(
% 40.92/5.54 relation(sk0_7)),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f85])).
% 40.92/5.54 fof(f87,plain,(
% 40.92/5.54 ~subset(relation_dom(relation_rng_restriction(sk0_8,sk0_7)),relation_dom(sk0_7))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f85])).
% 40.92/5.54 fof(f88,plain,(
% 40.92/5.54 (relation(sk0_9)&function(sk0_9))),
% 40.92/5.54 inference(skolemization,[status(esa)],[f23])).
% 40.92/5.54 fof(f89,plain,(
% 40.92/5.54 relation(sk0_9)),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f88])).
% 40.92/5.54 fof(f90,plain,(
% 40.92/5.54 function(sk0_9)),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f88])).
% 40.92/5.54 fof(f93,plain,(
% 40.92/5.54 ((relation(sk0_11)&empty(sk0_11))&function(sk0_11))),
% 40.92/5.54 inference(skolemization,[status(esa)],[f25])).
% 40.92/5.54 fof(f94,plain,(
% 40.92/5.54 relation(sk0_11)),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f93])).
% 40.92/5.54 fof(f95,plain,(
% 40.92/5.54 empty(sk0_11)),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f93])).
% 40.92/5.54 fof(f96,plain,(
% 40.92/5.54 function(sk0_11)),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f93])).
% 40.92/5.54 fof(f99,plain,(
% 40.92/5.54 ((relation(sk0_13)&function(sk0_13))&one_to_one(sk0_13))),
% 40.92/5.54 inference(skolemization,[status(esa)],[f27])).
% 40.92/5.54 fof(f100,plain,(
% 40.92/5.54 relation(sk0_13)),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f99])).
% 40.92/5.54 fof(f101,plain,(
% 40.92/5.54 function(sk0_13)),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f99])).
% 40.92/5.54 fof(f107,plain,(
% 40.92/5.54 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 40.92/5.54 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 40.92/5.54 fof(f108,plain,(
% 40.92/5.54 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f107])).
% 40.92/5.54 fof(f109,plain,(
% 40.92/5.54 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 40.92/5.54 inference(NNF_transformation,[status(esa)],[f31])).
% 40.92/5.54 fof(f110,plain,(
% 40.92/5.54 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 40.92/5.54 inference(miniscoping,[status(esa)],[f109])).
% 40.92/5.54 fof(f111,plain,(
% 40.92/5.54 ![X0,X1]: (~element(X0,powerset(X1))|subset(X0,X1))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f110])).
% 40.92/5.54 fof(f112,plain,(
% 40.92/5.54 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f110])).
% 40.92/5.54 fof(f119,plain,(
% 40.92/5.54 ![A]: (~empty(A)|A=empty_set)),
% 40.92/5.54 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 40.92/5.54 fof(f120,plain,(
% 40.92/5.54 ![X0]: (~empty(X0)|X0=empty_set)),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f119])).
% 40.92/5.54 fof(f121,plain,(
% 40.92/5.54 ![A,B]: (~in(A,B)|~empty(B))),
% 40.92/5.54 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 40.92/5.54 fof(f122,plain,(
% 40.92/5.54 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 40.92/5.54 inference(miniscoping,[status(esa)],[f121])).
% 40.92/5.54 fof(f123,plain,(
% 40.92/5.54 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 40.92/5.54 inference(cnf_transformation,[status(esa)],[f122])).
% 40.92/5.54 fof(f128,plain,(
% 40.92/5.54 ![X0,X1,X2,X3]: (~relation(X0)|~relation(relation_rng_restriction(X1,X0))|~in(ordered_pair(X2,X3),relation_rng_restriction(X1,X0))|in(ordered_pair(X2,X3),X0))),
% 40.92/5.54 inference(destructive_equality_resolution,[status(esa)],[f51])).
% 40.92/5.54 fof(f130,plain,(
% 40.92/5.54 ![X0,X1]: (~relation(X0)|~in(X1,relation_dom(X0))|in(ordered_pair(X1,sk0_3(X1,relation_dom(X0),X0)),X0))),
% 40.92/5.54 inference(destructive_equality_resolution,[status(esa)],[f67])).
% 40.92/5.54 fof(f131,plain,(
% 40.92/5.54 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_dom(X0))|~in(ordered_pair(X1,X2),X0))),
% 40.92/5.54 inference(destructive_equality_resolution,[status(esa)],[f68])).
% 40.92/5.54 fof(f133,plain,(
% 40.92/5.54 ![X0,X1,X2,X3]: (~relation(X0)|~in(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))|in(ordered_pair(X1,X2),X0))),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f128,f74])).
% 40.92/5.54 fof(f140,plain,(
% 40.92/5.54 sk0_11=empty_set),
% 40.92/5.54 inference(resolution,[status(thm)],[f120,f95])).
% 40.92/5.54 fof(f145,plain,(
% 40.92/5.54 function(empty_set)),
% 40.92/5.54 inference(backward_demodulation,[status(thm)],[f140,f96])).
% 40.92/5.54 fof(f146,plain,(
% 40.92/5.54 relation(empty_set)),
% 40.92/5.54 inference(backward_demodulation,[status(thm)],[f140,f94])).
% 40.92/5.54 fof(f148,plain,(
% 40.92/5.54 ![X0]: (~in(X0,empty_set))),
% 40.92/5.54 inference(resolution,[status(thm)],[f123,f77])).
% 40.92/5.54 fof(f150,plain,(
% 40.92/5.54 ![X0]: (subset(sk0_6(powerset(X0)),X0))),
% 40.92/5.54 inference(resolution,[status(thm)],[f111,f76])).
% 40.92/5.54 fof(f152,plain,(
% 40.92/5.54 ![X0,X1]: (~in(X0,sk0_6(powerset(X1)))|in(X0,X1))),
% 40.92/5.54 inference(resolution,[status(thm)],[f150,f60])).
% 40.92/5.54 fof(f153,plain,(
% 40.92/5.54 in(sk0_2(relation_dom(sk0_7),relation_dom(relation_rng_restriction(sk0_8,sk0_7))),relation_dom(relation_rng_restriction(sk0_8,sk0_7)))),
% 40.92/5.54 inference(resolution,[status(thm)],[f61,f87])).
% 40.92/5.54 fof(f213,plain,(
% 40.92/5.54 ~in(sk0_2(relation_dom(sk0_7),relation_dom(relation_rng_restriction(sk0_8,sk0_7))),relation_dom(sk0_7))),
% 40.92/5.54 inference(resolution,[status(thm)],[f62,f87])).
% 40.92/5.54 fof(f215,plain,(
% 40.92/5.54 ![X0]: (empty(X0)|in(sk0_6(X0),X0))),
% 40.92/5.54 inference(resolution,[status(thm)],[f108,f76])).
% 40.92/5.54 fof(f221,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(X0),X0)|X0=empty_set)),
% 40.92/5.54 inference(resolution,[status(thm)],[f215,f120])).
% 40.92/5.54 fof(f225,plain,(
% 40.92/5.54 ![X0]: (sk0_6(powerset(X0))=empty_set|in(sk0_6(sk0_6(powerset(X0))),X0))),
% 40.92/5.54 inference(resolution,[status(thm)],[f221,f152])).
% 40.92/5.54 fof(f388,plain,(
% 40.92/5.54 spl0_10 <=> ~subset(X0,empty_set)|in(X0,empty_set)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f389,plain,(
% 40.92/5.54 ![X0]: (~subset(X0,empty_set)|in(X0,empty_set)|~spl0_10)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f388])).
% 40.92/5.54 fof(f414,plain,(
% 40.92/5.54 ![X0,X1]: (~relation(X0)|empty_set=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_0(X1,empty_set,X0),sk0_1(X1,empty_set,X0)),empty_set)|in(sk0_1(X1,empty_set,X0),X1))),
% 40.92/5.54 inference(resolution,[status(thm)],[f54,f146])).
% 40.92/5.54 fof(f415,plain,(
% 40.92/5.54 ![X0,X1]: (~relation(X0)|empty_set=relation_rng_restriction(X1,X0)|in(sk0_1(X1,empty_set,X0),X1))),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f414,f148])).
% 40.92/5.54 fof(f420,plain,(
% 40.92/5.54 ![X0,X1]: (~relation(X0)|empty_set=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_0(X1,empty_set,X0),sk0_1(X1,empty_set,X0)),empty_set)|in(ordered_pair(sk0_0(X1,empty_set,X0),sk0_1(X1,empty_set,X0)),X0))),
% 40.92/5.54 inference(resolution,[status(thm)],[f55,f146])).
% 40.92/5.54 fof(f421,plain,(
% 40.92/5.54 ![X0,X1]: (~relation(X0)|empty_set=relation_rng_restriction(X1,X0)|in(ordered_pair(sk0_0(X1,empty_set,X0),sk0_1(X1,empty_set,X0)),X0))),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f420,f148])).
% 40.92/5.54 fof(f426,plain,(
% 40.92/5.54 ![X0]: (~in(X0,relation_dom(empty_set))|in(ordered_pair(X0,sk0_3(X0,relation_dom(empty_set),empty_set)),empty_set))),
% 40.92/5.54 inference(resolution,[status(thm)],[f130,f146])).
% 40.92/5.54 fof(f427,plain,(
% 40.92/5.54 ![X0]: (~in(X0,relation_dom(empty_set)))),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f426,f148])).
% 40.92/5.54 fof(f430,plain,(
% 40.92/5.54 ![X0,X1,X2]: (~in(X0,relation_dom(relation_rng_restriction(X1,X2)))|in(ordered_pair(X0,sk0_3(X0,relation_dom(relation_rng_restriction(X1,X2)),relation_rng_restriction(X1,X2))),relation_rng_restriction(X1,X2))|~relation(X2))),
% 40.92/5.54 inference(resolution,[status(thm)],[f130,f74])).
% 40.92/5.54 fof(f439,plain,(
% 40.92/5.54 spl0_11 <=> relation(sk0_7)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f441,plain,(
% 40.92/5.54 ~relation(sk0_7)|spl0_11),
% 40.92/5.54 inference(component_clause,[status(thm)],[f439])).
% 40.92/5.54 fof(f442,plain,(
% 40.92/5.54 spl0_12 <=> ~in(ordered_pair(sk0_2(relation_dom(sk0_7),relation_dom(relation_rng_restriction(sk0_8,sk0_7))),X0),sk0_7)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f443,plain,(
% 40.92/5.54 ![X0]: (~in(ordered_pair(sk0_2(relation_dom(sk0_7),relation_dom(relation_rng_restriction(sk0_8,sk0_7))),X0),sk0_7)|~spl0_12)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f442])).
% 40.92/5.54 fof(f445,plain,(
% 40.92/5.54 ![X0]: (~relation(sk0_7)|~in(ordered_pair(sk0_2(relation_dom(sk0_7),relation_dom(relation_rng_restriction(sk0_8,sk0_7))),X0),sk0_7))),
% 40.92/5.54 inference(resolution,[status(thm)],[f213,f131])).
% 40.92/5.54 fof(f446,plain,(
% 40.92/5.54 ~spl0_11|spl0_12),
% 40.92/5.54 inference(split_clause,[status(thm)],[f445,f439,f442])).
% 40.92/5.54 fof(f447,plain,(
% 40.92/5.54 $false|spl0_11),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f441,f86])).
% 40.92/5.54 fof(f448,plain,(
% 40.92/5.54 spl0_11),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f447])).
% 40.92/5.54 fof(f623,plain,(
% 40.92/5.54 ![X0]: (empty_set=relation_rng_restriction(X0,sk0_7)|in(sk0_1(X0,empty_set,sk0_7),X0))),
% 40.92/5.54 inference(resolution,[status(thm)],[f415,f86])).
% 40.92/5.54 fof(f627,plain,(
% 40.92/5.54 spl0_44 <=> relation(empty_set)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f629,plain,(
% 40.92/5.54 ~relation(empty_set)|spl0_44),
% 40.92/5.54 inference(component_clause,[status(thm)],[f627])).
% 40.92/5.54 fof(f634,plain,(
% 40.92/5.54 empty_set=relation_rng_restriction(empty_set,sk0_7)),
% 40.92/5.54 inference(resolution,[status(thm)],[f623,f148])).
% 40.92/5.54 fof(f637,plain,(
% 40.92/5.54 $false|spl0_44),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f629,f146])).
% 40.92/5.54 fof(f638,plain,(
% 40.92/5.54 spl0_44),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f637])).
% 40.92/5.54 fof(f1152,plain,(
% 40.92/5.54 spl0_102 <=> in(sk0_6(empty_set),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f1153,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(empty_set),X0)|~spl0_102)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f1152])).
% 40.92/5.54 fof(f1176,plain,(
% 40.92/5.54 $false|~spl0_102),
% 40.92/5.54 inference(resolution,[status(thm)],[f1153,f148])).
% 40.92/5.54 fof(f1177,plain,(
% 40.92/5.54 ~spl0_102),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f1176])).
% 40.92/5.54 fof(f1229,plain,(
% 40.92/5.54 ![X0]: (~subset(X0,empty_set)|~spl0_10)),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f389,f148])).
% 40.92/5.54 fof(f1245,plain,(
% 40.92/5.54 spl0_111 <=> in(sk0_6(empty_set),empty_set)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f1246,plain,(
% 40.92/5.54 in(sk0_6(empty_set),empty_set)|~spl0_111),
% 40.92/5.54 inference(component_clause,[status(thm)],[f1245])).
% 40.92/5.54 fof(f1250,plain,(
% 40.92/5.54 $false|~spl0_111),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f1246,f148])).
% 40.92/5.54 fof(f1251,plain,(
% 40.92/5.54 ~spl0_111),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f1250])).
% 40.92/5.54 fof(f1275,plain,(
% 40.92/5.54 sk0_6(powerset(empty_set))=empty_set),
% 40.92/5.54 inference(resolution,[status(thm)],[f225,f148])).
% 40.92/5.54 fof(f1331,plain,(
% 40.92/5.54 ![X0,X1]: (~in(X0,relation_dom(relation_rng_restriction(X1,sk0_7)))|in(ordered_pair(X0,sk0_3(X0,relation_dom(relation_rng_restriction(X1,sk0_7)),relation_rng_restriction(X1,sk0_7))),relation_rng_restriction(X1,sk0_7)))),
% 40.92/5.54 inference(resolution,[status(thm)],[f430,f86])).
% 40.92/5.54 fof(f1366,plain,(
% 40.92/5.54 $false|~spl0_10),
% 40.92/5.54 inference(resolution,[status(thm)],[f1229,f150])).
% 40.92/5.54 fof(f1367,plain,(
% 40.92/5.54 ~spl0_10),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f1366])).
% 40.92/5.54 fof(f1375,plain,(
% 40.92/5.54 relation_dom(empty_set)=empty_set),
% 40.92/5.54 inference(resolution,[status(thm)],[f427,f221])).
% 40.92/5.54 fof(f1380,plain,(
% 40.92/5.54 spl0_119 <=> in(sk0_6(relation_dom(empty_set)),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f1381,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(relation_dom(empty_set)),X0)|~spl0_119)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f1380])).
% 40.92/5.54 fof(f1477,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(empty_set),X0)|~spl0_119)),
% 40.92/5.54 inference(forward_demodulation,[status(thm)],[f1375,f1381])).
% 40.92/5.54 fof(f1483,plain,(
% 40.92/5.54 spl0_132 <=> in(sk0_6(sk0_6(empty_set)),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f1484,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(sk0_6(empty_set)),X0)|~spl0_132)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f1483])).
% 40.92/5.54 fof(f1494,plain,(
% 40.92/5.54 $false|~spl0_119),
% 40.92/5.54 inference(resolution,[status(thm)],[f1477,f148])).
% 40.92/5.54 fof(f1495,plain,(
% 40.92/5.54 ~spl0_119),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f1494])).
% 40.92/5.54 fof(f1518,plain,(
% 40.92/5.54 spl0_135 <=> in(sk0_6(sk0_6(sk0_6(empty_set))),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f1519,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(sk0_6(sk0_6(empty_set))),X0)|~spl0_135)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f1518])).
% 40.92/5.54 fof(f1528,plain,(
% 40.92/5.54 $false|~spl0_132),
% 40.92/5.54 inference(resolution,[status(thm)],[f1484,f148])).
% 40.92/5.54 fof(f1529,plain,(
% 40.92/5.54 ~spl0_132),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f1528])).
% 40.92/5.54 fof(f1760,plain,(
% 40.92/5.54 spl0_156 <=> in(sk0_6(sk0_6(sk0_6(sk0_6(empty_set)))),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f1761,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(sk0_6(sk0_6(sk0_6(empty_set)))),X0)|~spl0_156)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f1760])).
% 40.92/5.54 fof(f1771,plain,(
% 40.92/5.54 $false|~spl0_135),
% 40.92/5.54 inference(resolution,[status(thm)],[f1519,f148])).
% 40.92/5.54 fof(f1772,plain,(
% 40.92/5.54 ~spl0_135),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f1771])).
% 40.92/5.54 fof(f1866,plain,(
% 40.92/5.54 spl0_167 <=> relation(sk0_13)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f1868,plain,(
% 40.92/5.54 ~relation(sk0_13)|spl0_167),
% 40.92/5.54 inference(component_clause,[status(thm)],[f1866])).
% 40.92/5.54 fof(f1883,plain,(
% 40.92/5.54 $false|spl0_167),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f1868,f100])).
% 40.92/5.54 fof(f1884,plain,(
% 40.92/5.54 spl0_167),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f1883])).
% 40.92/5.54 fof(f1889,plain,(
% 40.92/5.54 spl0_171 <=> relation(sk0_9)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f1891,plain,(
% 40.92/5.54 ~relation(sk0_9)|spl0_171),
% 40.92/5.54 inference(component_clause,[status(thm)],[f1889])).
% 40.92/5.54 fof(f1906,plain,(
% 40.92/5.54 $false|spl0_171),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f1891,f89])).
% 40.92/5.54 fof(f1907,plain,(
% 40.92/5.54 spl0_171),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f1906])).
% 40.92/5.54 fof(f1909,plain,(
% 40.92/5.54 ![X0]: (empty_set=relation_rng_restriction(X0,empty_set)|in(ordered_pair(sk0_0(X0,empty_set,empty_set),sk0_1(X0,empty_set,empty_set)),empty_set))),
% 40.92/5.54 inference(resolution,[status(thm)],[f421,f146])).
% 40.92/5.54 fof(f1910,plain,(
% 40.92/5.54 ![X0]: (empty_set=relation_rng_restriction(X0,empty_set))),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f1909,f148])).
% 40.92/5.54 fof(f2174,plain,(
% 40.92/5.54 spl0_214 <=> in(relation_dom(relation_rng_restriction(sk0_8,sk0_7)),empty_set)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f2175,plain,(
% 40.92/5.54 in(relation_dom(relation_rng_restriction(sk0_8,sk0_7)),empty_set)|~spl0_214),
% 40.92/5.54 inference(component_clause,[status(thm)],[f2174])).
% 40.92/5.54 fof(f2202,plain,(
% 40.92/5.54 $false|~spl0_214),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f2175,f148])).
% 40.92/5.54 fof(f2203,plain,(
% 40.92/5.54 ~spl0_214),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f2202])).
% 40.92/5.54 fof(f3288,plain,(
% 40.92/5.54 spl0_292 <=> ~in(X0,relation_dom(relation_rng_restriction(X1,sk0_7)))|in(ordered_pair(X0,sk0_3(X0,relation_dom(relation_rng_restriction(X1,sk0_7)),relation_rng_restriction(X1,sk0_7))),sk0_7)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f3289,plain,(
% 40.92/5.54 ![X0,X1]: (~in(X0,relation_dom(relation_rng_restriction(X1,sk0_7)))|in(ordered_pair(X0,sk0_3(X0,relation_dom(relation_rng_restriction(X1,sk0_7)),relation_rng_restriction(X1,sk0_7))),sk0_7)|~spl0_292)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f3288])).
% 40.92/5.54 fof(f3291,plain,(
% 40.92/5.54 ![X0,X1]: (~in(X0,relation_dom(relation_rng_restriction(X1,sk0_7)))|~relation(sk0_7)|in(ordered_pair(X0,sk0_3(X0,relation_dom(relation_rng_restriction(X1,sk0_7)),relation_rng_restriction(X1,sk0_7))),sk0_7))),
% 40.92/5.54 inference(resolution,[status(thm)],[f1331,f133])).
% 40.92/5.54 fof(f3292,plain,(
% 40.92/5.54 spl0_292|~spl0_11),
% 40.92/5.54 inference(split_clause,[status(thm)],[f3291,f3288,f439])).
% 40.92/5.54 fof(f3325,plain,(
% 40.92/5.54 spl0_294 <=> subset(empty_set,powerset(empty_set))),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f3327,plain,(
% 40.92/5.54 ~subset(empty_set,powerset(empty_set))|spl0_294),
% 40.92/5.54 inference(component_clause,[status(thm)],[f3325])).
% 40.92/5.54 fof(f3373,plain,(
% 40.92/5.54 spl0_303 <=> in(sk0_1(empty_set,empty_set,sk0_7),empty_set)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f3374,plain,(
% 40.92/5.54 in(sk0_1(empty_set,empty_set,sk0_7),empty_set)|~spl0_303),
% 40.92/5.54 inference(component_clause,[status(thm)],[f3373])).
% 40.92/5.54 fof(f3401,plain,(
% 40.92/5.54 $false|~spl0_303),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f3374,f148])).
% 40.92/5.54 fof(f3402,plain,(
% 40.92/5.54 ~spl0_303),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f3401])).
% 40.92/5.54 fof(f3515,plain,(
% 40.92/5.54 spl0_315 <=> sk0_7=empty_set),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f3516,plain,(
% 40.92/5.54 sk0_7=empty_set|~spl0_315),
% 40.92/5.54 inference(component_clause,[status(thm)],[f3515])).
% 40.92/5.54 fof(f3918,plain,(
% 40.92/5.54 spl0_334 <=> in(sk0_6(sk0_6(powerset(powerset(powerset(empty_set))))),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f3919,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(sk0_6(powerset(powerset(powerset(empty_set))))),X0)|~spl0_334)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f3918])).
% 40.92/5.54 fof(f3946,plain,(
% 40.92/5.54 spl0_340 <=> in(powerset(powerset(powerset(empty_set))),empty_set)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f3947,plain,(
% 40.92/5.54 in(powerset(powerset(powerset(empty_set))),empty_set)|~spl0_340),
% 40.92/5.54 inference(component_clause,[status(thm)],[f3946])).
% 40.92/5.54 fof(f4113,plain,(
% 40.92/5.54 $false|~spl0_334),
% 40.92/5.54 inference(resolution,[status(thm)],[f3919,f148])).
% 40.92/5.54 fof(f4114,plain,(
% 40.92/5.54 ~spl0_334),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f4113])).
% 40.92/5.54 fof(f4371,plain,(
% 40.92/5.54 spl0_368 <=> in(sk0_6(sk0_4(powerset(powerset(empty_set)),empty_set)),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f4372,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(sk0_4(powerset(powerset(empty_set)),empty_set)),X0)|~spl0_368)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f4371])).
% 40.92/5.54 fof(f4724,plain,(
% 40.92/5.54 spl0_398 <=> in(sk0_6(sk0_1(empty_set,empty_set,sk0_7)),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f4725,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(sk0_1(empty_set,empty_set,sk0_7)),X0)|~spl0_398)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f4724])).
% 40.92/5.54 fof(f4793,plain,(
% 40.92/5.54 spl0_403 <=> in(sk0_6(sk0_6(sk0_1(empty_set,empty_set,sk0_7))),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f4794,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(sk0_6(sk0_1(empty_set,empty_set,sk0_7))),X0)|~spl0_403)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f4793])).
% 40.92/5.54 fof(f4807,plain,(
% 40.92/5.54 $false|~spl0_398),
% 40.92/5.54 inference(resolution,[status(thm)],[f4725,f148])).
% 40.92/5.54 fof(f4808,plain,(
% 40.92/5.54 ~spl0_398),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f4807])).
% 40.92/5.54 fof(f4848,plain,(
% 40.92/5.54 spl0_408 <=> in(sk0_6(sk0_6(sk0_6(sk0_1(empty_set,empty_set,sk0_7)))),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f4849,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(sk0_6(sk0_6(sk0_1(empty_set,empty_set,sk0_7)))),X0)|~spl0_408)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f4848])).
% 40.92/5.54 fof(f4862,plain,(
% 40.92/5.54 $false|~spl0_403),
% 40.92/5.54 inference(resolution,[status(thm)],[f4794,f148])).
% 40.92/5.54 fof(f4863,plain,(
% 40.92/5.54 ~spl0_403),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f4862])).
% 40.92/5.54 fof(f5127,plain,(
% 40.92/5.54 $false|~spl0_156),
% 40.92/5.54 inference(resolution,[status(thm)],[f1761,f148])).
% 40.92/5.54 fof(f5128,plain,(
% 40.92/5.54 ~spl0_156),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f5127])).
% 40.92/5.54 fof(f5206,plain,(
% 40.92/5.54 $false|~spl0_368),
% 40.92/5.54 inference(resolution,[status(thm)],[f4372,f148])).
% 40.92/5.54 fof(f5207,plain,(
% 40.92/5.54 ~spl0_368),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f5206])).
% 40.92/5.54 fof(f5249,plain,(
% 40.92/5.54 $false|~spl0_340),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f3947,f148])).
% 40.92/5.54 fof(f5250,plain,(
% 40.92/5.54 ~spl0_340),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f5249])).
% 40.92/5.54 fof(f5389,plain,(
% 40.92/5.54 spl0_446 <=> function(sk0_9)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f5391,plain,(
% 40.92/5.54 ~function(sk0_9)|spl0_446),
% 40.92/5.54 inference(component_clause,[status(thm)],[f5389])).
% 40.92/5.54 fof(f5398,plain,(
% 40.92/5.54 $false|spl0_446),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f5391,f90])).
% 40.92/5.54 fof(f5399,plain,(
% 40.92/5.54 spl0_446),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f5398])).
% 40.92/5.54 fof(f5589,plain,(
% 40.92/5.54 spl0_457 <=> function(sk0_13)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f5591,plain,(
% 40.92/5.54 ~function(sk0_13)|spl0_457),
% 40.92/5.54 inference(component_clause,[status(thm)],[f5589])).
% 40.92/5.54 fof(f5598,plain,(
% 40.92/5.54 $false|spl0_457),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f5591,f101])).
% 40.92/5.54 fof(f5599,plain,(
% 40.92/5.54 spl0_457),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f5598])).
% 40.92/5.54 fof(f5869,plain,(
% 40.92/5.54 in(sk0_2(relation_dom(sk0_7),relation_dom(relation_rng_restriction(sk0_8,sk0_7))),relation_dom(relation_rng_restriction(sk0_8,empty_set)))|~spl0_315),
% 40.92/5.54 inference(backward_demodulation,[status(thm)],[f3516,f153])).
% 40.92/5.54 fof(f5870,plain,(
% 40.92/5.54 in(sk0_2(relation_dom(sk0_7),relation_dom(relation_rng_restriction(sk0_8,sk0_7))),relation_dom(empty_set))|~spl0_315),
% 40.92/5.54 inference(forward_demodulation,[status(thm)],[f1910,f5869])).
% 40.92/5.54 fof(f5871,plain,(
% 40.92/5.54 in(sk0_2(relation_dom(sk0_7),relation_dom(relation_rng_restriction(sk0_8,sk0_7))),empty_set)|~spl0_315),
% 40.92/5.54 inference(forward_demodulation,[status(thm)],[f1375,f5870])).
% 40.92/5.54 fof(f5872,plain,(
% 40.92/5.54 $false|~spl0_315),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f5871,f148])).
% 40.92/5.54 fof(f5873,plain,(
% 40.92/5.54 ~spl0_315),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f5872])).
% 40.92/5.54 fof(f6139,plain,(
% 40.92/5.54 spl0_489 <=> in(sk0_4(empty_set,empty_set),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f6140,plain,(
% 40.92/5.54 ![X0]: (in(sk0_4(empty_set,empty_set),X0)|~spl0_489)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f6139])).
% 40.92/5.54 fof(f6303,plain,(
% 40.92/5.54 $false|~spl0_408),
% 40.92/5.54 inference(resolution,[status(thm)],[f4849,f148])).
% 40.92/5.54 fof(f6304,plain,(
% 40.92/5.54 ~spl0_408),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f6303])).
% 40.92/5.54 fof(f6853,plain,(
% 40.92/5.54 spl0_560 <=> in(sk0_6(sk0_4(empty_set,empty_set)),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f6854,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(sk0_4(empty_set,empty_set)),X0)|~spl0_560)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f6853])).
% 40.92/5.54 fof(f6867,plain,(
% 40.92/5.54 $false|~spl0_489),
% 40.92/5.54 inference(resolution,[status(thm)],[f6140,f148])).
% 40.92/5.54 fof(f6868,plain,(
% 40.92/5.54 ~spl0_489),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f6867])).
% 40.92/5.54 fof(f6901,plain,(
% 40.92/5.54 $false|~spl0_560),
% 40.92/5.54 inference(resolution,[status(thm)],[f6854,f148])).
% 40.92/5.54 fof(f6902,plain,(
% 40.92/5.54 ~spl0_560),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f6901])).
% 40.92/5.54 fof(f7010,plain,(
% 40.92/5.54 spl0_568 <=> in(sk0_4(sk0_4(empty_set,empty_set),empty_set),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f7011,plain,(
% 40.92/5.54 ![X0]: (in(sk0_4(sk0_4(empty_set,empty_set),empty_set),X0)|~spl0_568)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f7010])).
% 40.92/5.54 fof(f7054,plain,(
% 40.92/5.54 in(sk0_2(powerset(empty_set),empty_set),empty_set)|spl0_294),
% 40.92/5.54 inference(resolution,[status(thm)],[f3327,f61])).
% 40.92/5.54 fof(f7055,plain,(
% 40.92/5.54 $false|spl0_294),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f7054,f148])).
% 40.92/5.54 fof(f7056,plain,(
% 40.92/5.54 spl0_294),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f7055])).
% 40.92/5.54 fof(f8018,plain,(
% 40.92/5.54 $false|~spl0_568),
% 40.92/5.54 inference(resolution,[status(thm)],[f7011,f148])).
% 40.92/5.54 fof(f8019,plain,(
% 40.92/5.54 ~spl0_568),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f8018])).
% 40.92/5.54 fof(f8462,plain,(
% 40.92/5.54 spl0_650 <=> in(sk0_6(sk0_4(sk0_6(empty_set),empty_set)),X1)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f8463,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(sk0_4(sk0_6(empty_set),empty_set)),X0)|~spl0_650)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f8462])).
% 40.92/5.54 fof(f8470,plain,(
% 40.92/5.54 spl0_652 <=> in(sk0_4(sk0_4(sk0_6(empty_set),empty_set),empty_set),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f8471,plain,(
% 40.92/5.54 ![X0]: (in(sk0_4(sk0_4(sk0_6(empty_set),empty_set),empty_set),X0)|~spl0_652)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f8470])).
% 40.92/5.54 fof(f8530,plain,(
% 40.92/5.54 spl0_660 <=> in(sk0_6(sk0_6(sk0_4(sk0_6(empty_set),empty_set))),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f8531,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(sk0_6(sk0_4(sk0_6(empty_set),empty_set))),X0)|~spl0_660)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f8530])).
% 40.92/5.54 fof(f8545,plain,(
% 40.92/5.54 $false|~spl0_650),
% 40.92/5.54 inference(resolution,[status(thm)],[f8463,f148])).
% 40.92/5.54 fof(f8546,plain,(
% 40.92/5.54 ~spl0_650),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f8545])).
% 40.92/5.54 fof(f8683,plain,(
% 40.92/5.54 spl0_676 <=> in(sk0_1(powerset(empty_set),empty_set,sk0_7),empty_set)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f8684,plain,(
% 40.92/5.54 in(sk0_1(powerset(empty_set),empty_set,sk0_7),empty_set)|~spl0_676),
% 40.92/5.54 inference(component_clause,[status(thm)],[f8683])).
% 40.92/5.54 fof(f8688,plain,(
% 40.92/5.54 $false|~spl0_676),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f8684,f148])).
% 40.92/5.54 fof(f8689,plain,(
% 40.92/5.54 ~spl0_676),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f8688])).
% 40.92/5.54 fof(f8878,plain,(
% 40.92/5.54 $false|~spl0_652),
% 40.92/5.54 inference(resolution,[status(thm)],[f8471,f148])).
% 40.92/5.54 fof(f8879,plain,(
% 40.92/5.54 ~spl0_652),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f8878])).
% 40.92/5.54 fof(f8973,plain,(
% 40.92/5.54 $false|~spl0_660),
% 40.92/5.54 inference(resolution,[status(thm)],[f8531,f148])).
% 40.92/5.54 fof(f8974,plain,(
% 40.92/5.54 ~spl0_660),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f8973])).
% 40.92/5.54 fof(f9112,plain,(
% 40.92/5.54 spl0_712 <=> element(empty_set,powerset(powerset(relation_dom(sk0_7))))),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f9114,plain,(
% 40.92/5.54 ~element(empty_set,powerset(powerset(relation_dom(sk0_7))))|spl0_712),
% 40.92/5.54 inference(component_clause,[status(thm)],[f9112])).
% 40.92/5.54 fof(f9141,plain,(
% 40.92/5.54 ~subset(empty_set,powerset(relation_dom(sk0_7)))|spl0_712),
% 40.92/5.54 inference(resolution,[status(thm)],[f9114,f112])).
% 40.92/5.54 fof(f9146,plain,(
% 40.92/5.54 in(sk0_2(powerset(relation_dom(sk0_7)),empty_set),empty_set)|spl0_712),
% 40.92/5.54 inference(resolution,[status(thm)],[f9141,f61])).
% 40.92/5.54 fof(f9147,plain,(
% 40.92/5.54 $false|spl0_712),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f9146,f148])).
% 40.92/5.54 fof(f9148,plain,(
% 40.92/5.54 spl0_712),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f9147])).
% 40.92/5.54 fof(f9232,plain,(
% 40.92/5.54 spl0_728 <=> in(powerset(relation_dom(sk0_7)),empty_set)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f9233,plain,(
% 40.92/5.54 in(powerset(relation_dom(sk0_7)),empty_set)|~spl0_728),
% 40.92/5.54 inference(component_clause,[status(thm)],[f9232])).
% 40.92/5.54 fof(f9252,plain,(
% 40.92/5.54 $false|~spl0_728),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f9233,f148])).
% 40.92/5.54 fof(f9253,plain,(
% 40.92/5.54 ~spl0_728),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f9252])).
% 40.92/5.54 fof(f10891,plain,(
% 40.92/5.54 spl0_828 <=> ~subset(X0,sk0_6(empty_set))|in(X0,empty_set)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f10892,plain,(
% 40.92/5.54 ![X0]: (~subset(X0,sk0_6(empty_set))|in(X0,empty_set)|~spl0_828)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f10891])).
% 40.92/5.54 fof(f10896,plain,(
% 40.92/5.54 ![X0]: (~subset(X0,sk0_6(empty_set))|~spl0_828)),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f10892,f148])).
% 40.92/5.54 fof(f10898,plain,(
% 40.92/5.54 $false|~spl0_828),
% 40.92/5.54 inference(resolution,[status(thm)],[f10896,f150])).
% 40.92/5.54 fof(f10899,plain,(
% 40.92/5.54 ~spl0_828),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f10898])).
% 40.92/5.54 fof(f11263,plain,(
% 40.92/5.54 spl0_851 <=> in(sk0_6(sk0_2(empty_set,sk0_6(empty_set))),X1)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f11264,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(sk0_2(empty_set,sk0_6(empty_set))),X0)|~spl0_851)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f11263])).
% 40.92/5.54 fof(f11282,plain,(
% 40.92/5.54 spl0_854 <=> in(sk0_1(sk0_6(empty_set),empty_set,sk0_7),empty_set)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f11283,plain,(
% 40.92/5.54 in(sk0_1(sk0_6(empty_set),empty_set,sk0_7),empty_set)|~spl0_854),
% 40.92/5.54 inference(component_clause,[status(thm)],[f11282])).
% 40.92/5.54 fof(f11301,plain,(
% 40.92/5.54 $false|~spl0_854),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f11283,f148])).
% 40.92/5.54 fof(f11302,plain,(
% 40.92/5.54 ~spl0_854),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f11301])).
% 40.92/5.54 fof(f12021,plain,(
% 40.92/5.54 $false|~spl0_851),
% 40.92/5.54 inference(resolution,[status(thm)],[f11264,f148])).
% 40.92/5.54 fof(f12022,plain,(
% 40.92/5.54 ~spl0_851),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f12021])).
% 40.92/5.54 fof(f12110,plain,(
% 40.92/5.54 spl0_939 <=> in(sk0_1(powerset(powerset(empty_set)),empty_set,sk0_7),empty_set)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f12111,plain,(
% 40.92/5.54 in(sk0_1(powerset(powerset(empty_set)),empty_set,sk0_7),empty_set)|~spl0_939),
% 40.92/5.54 inference(component_clause,[status(thm)],[f12110])).
% 40.92/5.54 fof(f12129,plain,(
% 40.92/5.54 $false|~spl0_939),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f12111,f148])).
% 40.92/5.54 fof(f12130,plain,(
% 40.92/5.54 ~spl0_939),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f12129])).
% 40.92/5.54 fof(f12779,plain,(
% 40.92/5.54 spl0_951 <=> in(sk0_6(sk0_2(empty_set,empty_set)),X1)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f12780,plain,(
% 40.92/5.54 ![X0]: (in(sk0_6(sk0_2(empty_set,empty_set)),X0)|~spl0_951)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f12779])).
% 40.92/5.54 fof(f12869,plain,(
% 40.92/5.54 $false|~spl0_951),
% 40.92/5.54 inference(resolution,[status(thm)],[f12780,f148])).
% 40.92/5.54 fof(f12870,plain,(
% 40.92/5.54 ~spl0_951),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f12869])).
% 40.92/5.54 fof(f12951,plain,(
% 40.92/5.54 spl0_964 <=> in(ordered_pair(sk0_0(X0,relation_rng_restriction(empty_set,sk0_7),empty_set),sk0_1(X0,relation_rng_restriction(empty_set,sk0_7),empty_set)),relation_rng_restriction(empty_set,sk0_7))|in(sk0_1(X0,empty_set,empty_set),X0)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f12952,plain,(
% 40.92/5.54 ![X0]: (in(ordered_pair(sk0_0(X0,relation_rng_restriction(empty_set,sk0_7),empty_set),sk0_1(X0,relation_rng_restriction(empty_set,sk0_7),empty_set)),relation_rng_restriction(empty_set,sk0_7))|in(sk0_1(X0,empty_set,empty_set),X0)|~spl0_964)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f12951])).
% 40.92/5.54 fof(f12956,plain,(
% 40.92/5.54 ![X0]: (in(ordered_pair(sk0_0(X0,empty_set,empty_set),sk0_1(X0,relation_rng_restriction(empty_set,sk0_7),empty_set)),relation_rng_restriction(empty_set,sk0_7))|in(sk0_1(X0,empty_set,empty_set),X0)|~spl0_964)),
% 40.92/5.54 inference(forward_demodulation,[status(thm)],[f634,f12952])).
% 40.92/5.54 fof(f12957,plain,(
% 40.92/5.54 ![X0]: (in(ordered_pair(sk0_0(X0,empty_set,empty_set),sk0_1(X0,empty_set,empty_set)),relation_rng_restriction(empty_set,sk0_7))|in(sk0_1(X0,empty_set,empty_set),X0)|~spl0_964)),
% 40.92/5.54 inference(forward_demodulation,[status(thm)],[f634,f12956])).
% 40.92/5.54 fof(f12958,plain,(
% 40.92/5.54 ![X0]: (in(ordered_pair(sk0_0(X0,empty_set,empty_set),sk0_1(X0,empty_set,empty_set)),empty_set)|in(sk0_1(X0,empty_set,empty_set),X0)|~spl0_964)),
% 40.92/5.54 inference(forward_demodulation,[status(thm)],[f634,f12957])).
% 40.92/5.54 fof(f12959,plain,(
% 40.92/5.54 ![X0]: (in(sk0_1(X0,empty_set,empty_set),X0)|~spl0_964)),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f12958,f148])).
% 40.92/5.54 fof(f13004,plain,(
% 40.92/5.54 $false|~spl0_964),
% 40.92/5.54 inference(resolution,[status(thm)],[f12959,f148])).
% 40.92/5.54 fof(f13005,plain,(
% 40.92/5.54 ~spl0_964),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f13004])).
% 40.92/5.54 fof(f13232,plain,(
% 40.92/5.54 spl0_986 <=> in(powerset(sk0_6(empty_set)),empty_set)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f13233,plain,(
% 40.92/5.54 in(powerset(sk0_6(empty_set)),empty_set)|~spl0_986),
% 40.92/5.54 inference(component_clause,[status(thm)],[f13232])).
% 40.92/5.54 fof(f13249,plain,(
% 40.92/5.54 $false|~spl0_986),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f13233,f148])).
% 40.92/5.54 fof(f13250,plain,(
% 40.92/5.54 ~spl0_986),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f13249])).
% 40.92/5.54 fof(f13439,plain,(
% 40.92/5.54 spl0_999 <=> in(sk0_6(sk0_6(powerset(empty_set))),sk0_6(empty_set))),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f13440,plain,(
% 40.92/5.54 in(sk0_6(sk0_6(powerset(empty_set))),sk0_6(empty_set))|~spl0_999),
% 40.92/5.54 inference(component_clause,[status(thm)],[f13439])).
% 40.92/5.54 fof(f13477,plain,(
% 40.92/5.54 in(sk0_6(empty_set),sk0_6(empty_set))|~spl0_999),
% 40.92/5.54 inference(forward_demodulation,[status(thm)],[f1275,f13440])).
% 40.92/5.54 fof(f13505,plain,(
% 40.92/5.54 ~in(sk0_6(empty_set),sk0_6(empty_set))|~spl0_999),
% 40.92/5.54 inference(resolution,[status(thm)],[f13477,f38])).
% 40.92/5.54 fof(f13506,plain,(
% 40.92/5.54 $false|~spl0_999),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f13505,f13477])).
% 40.92/5.54 fof(f13507,plain,(
% 40.92/5.54 ~spl0_999),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f13506])).
% 40.92/5.54 fof(f13544,plain,(
% 40.92/5.54 spl0_1006 <=> in(ordered_pair(sk0_0(X0,empty_set,empty_set),sk0_1(X0,relation_rng_restriction(empty_set,sk0_7),empty_set)),relation_rng_restriction(empty_set,sk0_7))),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f13545,plain,(
% 40.92/5.54 ![X0]: (in(ordered_pair(sk0_0(X0,empty_set,empty_set),sk0_1(X0,relation_rng_restriction(empty_set,sk0_7),empty_set)),relation_rng_restriction(empty_set,sk0_7))|~spl0_1006)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f13544])).
% 40.92/5.54 fof(f13559,plain,(
% 40.92/5.54 spl0_1009 <=> in(ordered_pair(sk0_0(X0,relation_rng_restriction(empty_set,sk0_7),empty_set),sk0_1(X0,empty_set,empty_set)),relation_rng_restriction(empty_set,sk0_7))),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f13560,plain,(
% 40.92/5.54 ![X0]: (in(ordered_pair(sk0_0(X0,relation_rng_restriction(empty_set,sk0_7),empty_set),sk0_1(X0,empty_set,empty_set)),relation_rng_restriction(empty_set,sk0_7))|~spl0_1009)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f13559])).
% 40.92/5.54 fof(f13574,plain,(
% 40.92/5.54 spl0_1012 <=> in(ordered_pair(sk0_0(X0,relation_rng_restriction(empty_set,sk0_7),empty_set),sk0_1(X0,relation_rng_restriction(empty_set,sk0_7),empty_set)),empty_set)),
% 40.92/5.54 introduced(split_symbol_definition)).
% 40.92/5.54 fof(f13575,plain,(
% 40.92/5.54 ![X0]: (in(ordered_pair(sk0_0(X0,relation_rng_restriction(empty_set,sk0_7),empty_set),sk0_1(X0,relation_rng_restriction(empty_set,sk0_7),empty_set)),empty_set)|~spl0_1012)),
% 40.92/5.54 inference(component_clause,[status(thm)],[f13574])).
% 40.92/5.54 fof(f13581,plain,(
% 40.92/5.54 ![X0]: (in(ordered_pair(sk0_0(X0,empty_set,empty_set),sk0_1(X0,relation_rng_restriction(empty_set,sk0_7),empty_set)),empty_set)|~spl0_1012)),
% 40.92/5.54 inference(forward_demodulation,[status(thm)],[f634,f13575])).
% 40.92/5.54 fof(f13582,plain,(
% 40.92/5.54 ![X0]: (in(ordered_pair(sk0_0(X0,empty_set,empty_set),sk0_1(X0,empty_set,empty_set)),empty_set)|~spl0_1012)),
% 40.92/5.54 inference(forward_demodulation,[status(thm)],[f634,f13581])).
% 40.92/5.54 fof(f13583,plain,(
% 40.92/5.54 $false|~spl0_1012),
% 40.92/5.54 inference(forward_subsumption_resolution,[status(thm)],[f13582,f148])).
% 40.92/5.54 fof(f13584,plain,(
% 40.92/5.54 ~spl0_1012),
% 40.92/5.54 inference(contradiction_clause,[status(thm)],[f13583])).
% 40.92/5.54 fof(f13585,plain,(
% 40.92/5.54 ![X0]: (in(ordered_pair(sk0_0(X0,empty_set,empty_set),sk0_1(X0,empty_set,empty_set)),relation_rng_restriction(empty_set,sk0_7))|~spl0_1009)),
% 40.92/5.57 inference(forward_demodulation,[status(thm)],[f634,f13560])).
% 40.92/5.57 fof(f13586,plain,(
% 40.92/5.57 ![X0]: (in(ordered_pair(sk0_0(X0,empty_set,empty_set),sk0_1(X0,empty_set,empty_set)),empty_set)|~spl0_1009)),
% 40.92/5.57 inference(forward_demodulation,[status(thm)],[f634,f13585])).
% 40.92/5.57 fof(f13587,plain,(
% 40.92/5.57 $false|~spl0_1009),
% 40.92/5.57 inference(forward_subsumption_resolution,[status(thm)],[f13586,f148])).
% 40.92/5.57 fof(f13588,plain,(
% 40.92/5.57 ~spl0_1009),
% 40.92/5.57 inference(contradiction_clause,[status(thm)],[f13587])).
% 40.92/5.57 fof(f13589,plain,(
% 40.92/5.57 ![X0]: (in(ordered_pair(sk0_0(X0,empty_set,empty_set),sk0_1(X0,empty_set,empty_set)),relation_rng_restriction(empty_set,sk0_7))|~spl0_1006)),
% 40.92/5.57 inference(forward_demodulation,[status(thm)],[f634,f13545])).
% 40.92/5.57 fof(f13590,plain,(
% 40.92/5.57 ![X0]: (in(ordered_pair(sk0_0(X0,empty_set,empty_set),sk0_1(X0,empty_set,empty_set)),empty_set)|~spl0_1006)),
% 40.92/5.57 inference(forward_demodulation,[status(thm)],[f634,f13589])).
% 40.92/5.57 fof(f13591,plain,(
% 40.92/5.57 $false|~spl0_1006),
% 40.92/5.57 inference(forward_subsumption_resolution,[status(thm)],[f13590,f148])).
% 40.92/5.57 fof(f13592,plain,(
% 40.92/5.57 ~spl0_1006),
% 40.92/5.57 inference(contradiction_clause,[status(thm)],[f13591])).
% 40.92/5.57 fof(f15285,plain,(
% 40.92/5.57 spl0_1120 <=> function(relation_rng_restriction(empty_set,sk0_7))),
% 40.92/5.57 introduced(split_symbol_definition)).
% 40.92/5.57 fof(f15287,plain,(
% 40.92/5.57 ~function(relation_rng_restriction(empty_set,sk0_7))|spl0_1120),
% 40.92/5.57 inference(component_clause,[status(thm)],[f15285])).
% 40.92/5.57 fof(f15293,plain,(
% 40.92/5.57 ~function(empty_set)|spl0_1120),
% 40.92/5.57 inference(forward_demodulation,[status(thm)],[f634,f15287])).
% 40.92/5.57 fof(f15294,plain,(
% 40.92/5.57 $false|spl0_1120),
% 40.92/5.57 inference(forward_subsumption_resolution,[status(thm)],[f15293,f145])).
% 40.92/5.57 fof(f15295,plain,(
% 40.92/5.57 spl0_1120),
% 40.92/5.57 inference(contradiction_clause,[status(thm)],[f15294])).
% 40.92/5.57 fof(f16124,plain,(
% 40.92/5.57 ![X0]: (~in(sk0_2(relation_dom(sk0_7),relation_dom(relation_rng_restriction(sk0_8,sk0_7))),relation_dom(relation_rng_restriction(X0,sk0_7)))|~spl0_292|~spl0_12)),
% 40.92/5.57 inference(resolution,[status(thm)],[f3289,f443])).
% 40.92/5.57 fof(f16172,plain,(
% 40.92/5.57 $false|~spl0_292|~spl0_12),
% 40.92/5.57 inference(backward_subsumption_resolution,[status(thm)],[f153,f16124])).
% 40.92/5.57 fof(f16173,plain,(
% 40.92/5.57 ~spl0_292|~spl0_12),
% 40.92/5.57 inference(contradiction_clause,[status(thm)],[f16172])).
% 40.92/5.57 fof(f16174,plain,(
% 40.92/5.57 $false),
% 40.92/5.57 inference(sat_refutation,[status(thm)],[f446,f448,f638,f1177,f1251,f1367,f1495,f1529,f1772,f1884,f1907,f2203,f3292,f3402,f4114,f4808,f4863,f5128,f5207,f5250,f5399,f5599,f5873,f6304,f6868,f6902,f7056,f8019,f8546,f8689,f8879,f8974,f9148,f9253,f10899,f11302,f12022,f12130,f12870,f13005,f13250,f13507,f13584,f13588,f13592,f15295,f16173])).
% 40.92/5.57 % SZS output end CNFRefutation for theBenchmark.p
% 41.18/5.61 % Elapsed time: 5.290372 seconds
% 41.18/5.61 % CPU time: 41.244462 seconds
% 41.18/5.61 % Memory used: 277.791 MB
%------------------------------------------------------------------------------