TSTP Solution File: SEU340+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU340+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 : Tue Apr 30 20:42:00 EDT 2024
% Result : Theorem 0.11s 0.38s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU340+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n013.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 19:43:34 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.11/0.27 % Drodi V3.6.0
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f1,axiom,(
% 0.11/0.38 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f2,axiom,(
% 0.11/0.38 (! [A,B,C] :( element(C,powerset(cartesian_product2(A,B)))=> relation(C) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f4,axiom,(
% 0.11/0.38 (! [A] :( rel_str(A)=> ( transitive_relstr(A)<=> is_transitive_in(the_InternalRel(A),the_carrier(A)) ) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f6,axiom,(
% 0.11/0.38 (! [A] :( relation(A)=> (! [B] :( is_transitive_in(A,B)<=> (! [C,D,E] :( ( in(C,B)& in(D,B)& in(E,B)& in(ordered_pair(C,D),A)& in(ordered_pair(D,E),A) )=> in(ordered_pair(C,E),A) ) )) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f7,axiom,(
% 0.11/0.38 (! [A] :( rel_str(A)=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> ( related(A,B,C)<=> in(ordered_pair(B,C),the_InternalRel(A)) ) ) )) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f18,axiom,(
% 0.11/0.38 (! [A,B,C] :( relation_of2_as_subset(C,A,B)=> element(C,powerset(cartesian_product2(A,B))) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f19,axiom,(
% 0.11/0.38 (! [A] :( rel_str(A)=> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f24,axiom,(
% 0.11/0.38 (! [A] :(? [B] : element(B,A) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f25,axiom,(
% 0.11/0.38 (! [A,B] :(? [C] : relation_of2_as_subset(C,A,B) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f26,axiom,(
% 0.11/0.38 (! [A] : ~ empty(powerset(A)) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f27,axiom,(
% 0.11/0.38 empty(empty_set) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f31,axiom,(
% 0.11/0.38 (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B) ) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f33,axiom,(
% 0.11/0.38 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f36,axiom,(
% 0.11/0.38 (! [A,B] : subset(A,A) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f37,axiom,(
% 0.11/0.38 (! [A,B,C,D] :( in(ordered_pair(A,B),cartesian_product2(C,D))<=> ( in(A,C)& in(B,D) ) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f38,axiom,(
% 0.11/0.38 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f39,conjecture,(
% 0.11/0.38 (! [A] :( ( transitive_relstr(A)& rel_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> (! [D] :( element(D,the_carrier(A))=> ( ( related(A,B,C)& related(A,C,D) )=> related(A,B,D) ) ) )) )) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f40,negated_conjecture,(
% 0.11/0.38 ~((! [A] :( ( transitive_relstr(A)& rel_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> (! [D] :( element(D,the_carrier(A))=> ( ( related(A,B,C)& related(A,C,D) )=> related(A,B,D) ) ) )) )) )) ))),
% 0.11/0.38 inference(negated_conjecture,[status(cth)],[f39])).
% 0.11/0.38 fof(f41,axiom,(
% 0.11/0.38 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f42,axiom,(
% 0.11/0.38 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f43,axiom,(
% 0.11/0.38 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f44,axiom,(
% 0.11/0.38 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f45,axiom,(
% 0.11/0.38 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f46,axiom,(
% 0.11/0.38 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f48,plain,(
% 0.11/0.38 ![A,B]: (~in(A,B)|~in(B,A))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.11/0.38 fof(f49,plain,(
% 0.11/0.38 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f48])).
% 0.11/0.38 fof(f50,plain,(
% 0.11/0.38 ![A,B,C]: (~element(C,powerset(cartesian_product2(A,B)))|relation(C))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.11/0.38 fof(f51,plain,(
% 0.11/0.38 ![C]: ((![A,B]: ~element(C,powerset(cartesian_product2(A,B))))|relation(C))),
% 0.11/0.38 inference(miniscoping,[status(esa)],[f50])).
% 0.11/0.38 fof(f52,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~element(X0,powerset(cartesian_product2(X1,X2)))|relation(X0))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f51])).
% 0.11/0.38 fof(f54,plain,(
% 0.11/0.38 ![A]: (~rel_str(A)|(transitive_relstr(A)<=>is_transitive_in(the_InternalRel(A),the_carrier(A))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.11/0.38 fof(f55,plain,(
% 0.11/0.38 ![A]: (~rel_str(A)|((~transitive_relstr(A)|is_transitive_in(the_InternalRel(A),the_carrier(A)))&(transitive_relstr(A)|~is_transitive_in(the_InternalRel(A),the_carrier(A)))))),
% 0.11/0.38 inference(NNF_transformation,[status(esa)],[f54])).
% 0.11/0.38 fof(f56,plain,(
% 0.11/0.38 ![X0]: (~rel_str(X0)|~transitive_relstr(X0)|is_transitive_in(the_InternalRel(X0),the_carrier(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f55])).
% 0.11/0.38 fof(f57,plain,(
% 0.11/0.38 ![X0]: (~rel_str(X0)|transitive_relstr(X0)|~is_transitive_in(the_InternalRel(X0),the_carrier(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f55])).
% 0.11/0.38 fof(f59,plain,(
% 0.11/0.38 ![A]: (~relation(A)|(![B]: (is_transitive_in(A,B)<=>(![C,D,E]: (((((~in(C,B)|~in(D,B))|~in(E,B))|~in(ordered_pair(C,D),A))|~in(ordered_pair(D,E),A))|in(ordered_pair(C,E),A))))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.11/0.38 fof(f60,plain,(
% 0.11/0.38 ![A]: (~relation(A)|(![B]: ((~is_transitive_in(A,B)|(![C,D,E]: (((((~in(C,B)|~in(D,B))|~in(E,B))|~in(ordered_pair(C,D),A))|~in(ordered_pair(D,E),A))|in(ordered_pair(C,E),A))))&(is_transitive_in(A,B)|(?[C,D,E]: (((((in(C,B)&in(D,B))&in(E,B))&in(ordered_pair(C,D),A))&in(ordered_pair(D,E),A))&~in(ordered_pair(C,E),A)))))))),
% 0.11/0.38 inference(NNF_transformation,[status(esa)],[f59])).
% 0.11/0.38 fof(f61,plain,(
% 0.11/0.38 ![A]: (~relation(A)|((![B]: (~is_transitive_in(A,B)|(![C,E]: ((![D]: ((((~in(C,B)|~in(D,B))|~in(E,B))|~in(ordered_pair(C,D),A))|~in(ordered_pair(D,E),A)))|in(ordered_pair(C,E),A)))))&(![B]: (is_transitive_in(A,B)|(?[C,E]: ((?[D]: ((((in(C,B)&in(D,B))&in(E,B))&in(ordered_pair(C,D),A))&in(ordered_pair(D,E),A)))&~in(ordered_pair(C,E),A)))))))),
% 0.11/0.38 inference(miniscoping,[status(esa)],[f60])).
% 0.11/0.38 fof(f62,plain,(
% 0.11/0.38 ![A]: (~relation(A)|((![B]: (~is_transitive_in(A,B)|(![C,E]: ((![D]: ((((~in(C,B)|~in(D,B))|~in(E,B))|~in(ordered_pair(C,D),A))|~in(ordered_pair(D,E),A)))|in(ordered_pair(C,E),A)))))&(![B]: (is_transitive_in(A,B)|(((((in(sk0_0(B,A),B)&in(sk0_2(B,A),B))&in(sk0_1(B,A),B))&in(ordered_pair(sk0_0(B,A),sk0_2(B,A)),A))&in(ordered_pair(sk0_2(B,A),sk0_1(B,A)),A))&~in(ordered_pair(sk0_0(B,A),sk0_1(B,A)),A))))))),
% 0.11/0.38 inference(skolemization,[status(esa)],[f61])).
% 0.11/0.38 fof(f63,plain,(
% 0.11/0.38 ![X0,X1,X2,X3,X4]: (~relation(X0)|~is_transitive_in(X0,X1)|~in(X2,X1)|~in(X3,X1)|~in(X4,X1)|~in(ordered_pair(X2,X3),X0)|~in(ordered_pair(X3,X4),X0)|in(ordered_pair(X2,X4),X0))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f62])).
% 0.11/0.38 fof(f64,plain,(
% 0.11/0.38 ![X0,X1]: (~relation(X0)|is_transitive_in(X0,X1)|in(sk0_0(X1,X0),X1))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f62])).
% 0.11/0.38 fof(f65,plain,(
% 0.11/0.38 ![X0,X1]: (~relation(X0)|is_transitive_in(X0,X1)|in(sk0_2(X1,X0),X1))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f62])).
% 0.11/0.38 fof(f66,plain,(
% 0.11/0.38 ![X0,X1]: (~relation(X0)|is_transitive_in(X0,X1)|in(sk0_1(X1,X0),X1))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f62])).
% 0.11/0.38 fof(f67,plain,(
% 0.11/0.38 ![X0,X1]: (~relation(X0)|is_transitive_in(X0,X1)|in(ordered_pair(sk0_0(X1,X0),sk0_2(X1,X0)),X0))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f62])).
% 0.11/0.38 fof(f68,plain,(
% 0.11/0.38 ![X0,X1]: (~relation(X0)|is_transitive_in(X0,X1)|in(ordered_pair(sk0_2(X1,X0),sk0_1(X1,X0)),X0))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f62])).
% 0.11/0.38 fof(f70,plain,(
% 0.11/0.38 ![A]: (~rel_str(A)|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|(related(A,B,C)<=>in(ordered_pair(B,C),the_InternalRel(A))))))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.11/0.38 fof(f71,plain,(
% 0.11/0.38 ![A]: (~rel_str(A)|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|((~related(A,B,C)|in(ordered_pair(B,C),the_InternalRel(A)))&(related(A,B,C)|~in(ordered_pair(B,C),the_InternalRel(A)))))))))),
% 0.11/0.38 inference(NNF_transformation,[status(esa)],[f70])).
% 0.11/0.38 fof(f72,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|~related(X0,X1,X2)|in(ordered_pair(X1,X2),the_InternalRel(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f71])).
% 0.11/0.38 fof(f73,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|related(X0,X1,X2)|~in(ordered_pair(X1,X2),the_InternalRel(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f71])).
% 0.11/0.38 fof(f76,plain,(
% 0.11/0.38 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.11/0.38 fof(f77,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|element(X0,powerset(cartesian_product2(X1,X2))))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f76])).
% 0.11/0.38 fof(f78,plain,(
% 0.11/0.38 ![A]: (~rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.11/0.38 fof(f79,plain,(
% 0.11/0.38 ![X0]: (~rel_str(X0)|relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f78])).
% 0.11/0.38 fof(f86,plain,(
% 0.11/0.38 ![A]: element(sk0_6(A),A)),
% 0.11/0.38 inference(skolemization,[status(esa)],[f24])).
% 0.11/0.38 fof(f87,plain,(
% 0.11/0.38 ![X0]: (element(sk0_6(X0),X0))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f86])).
% 0.11/0.38 fof(f88,plain,(
% 0.11/0.38 ![A,B]: relation_of2_as_subset(sk0_7(B,A),A,B)),
% 0.11/0.38 inference(skolemization,[status(esa)],[f25])).
% 0.11/0.38 fof(f89,plain,(
% 0.11/0.38 ![X0,X1]: (relation_of2_as_subset(sk0_7(X0,X1),X1,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f88])).
% 0.11/0.38 fof(f90,plain,(
% 0.11/0.38 ![X0]: (~empty(powerset(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f26])).
% 0.11/0.38 fof(f91,plain,(
% 0.11/0.38 empty(empty_set)),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f27])).
% 0.11/0.38 fof(f96,plain,(
% 0.11/0.38 ![A]: (empty(A)|(?[B]: (element(B,powerset(A))&~empty(B))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.11/0.38 fof(f97,plain,(
% 0.11/0.38 ![A]: (empty(A)|(element(sk0_8(A),powerset(A))&~empty(sk0_8(A))))),
% 0.11/0.38 inference(skolemization,[status(esa)],[f96])).
% 0.11/0.38 fof(f98,plain,(
% 0.11/0.38 ![X0]: (empty(X0)|element(sk0_8(X0),powerset(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f97])).
% 0.11/0.38 fof(f99,plain,(
% 0.11/0.38 ![X0]: (empty(X0)|~empty(sk0_8(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f97])).
% 0.11/0.38 fof(f102,plain,(
% 0.11/0.38 ![A]: (element(sk0_10(A),powerset(A))&empty(sk0_10(A)))),
% 0.11/0.38 inference(skolemization,[status(esa)],[f33])).
% 0.11/0.38 fof(f103,plain,(
% 0.11/0.38 ![X0]: (element(sk0_10(X0),powerset(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f102])).
% 0.11/0.38 fof(f104,plain,(
% 0.11/0.38 ![X0]: (empty(sk0_10(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f102])).
% 0.11/0.38 fof(f111,plain,(
% 0.11/0.38 ![A]: subset(A,A)),
% 0.11/0.38 inference(miniscoping,[status(esa)],[f36])).
% 0.11/0.38 fof(f112,plain,(
% 0.11/0.38 ![X0]: (subset(X0,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f111])).
% 0.11/0.38 fof(f113,plain,(
% 0.11/0.38 ![A,B,C,D]: ((~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D)))&(in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D))))),
% 0.11/0.38 inference(NNF_transformation,[status(esa)],[f37])).
% 0.11/0.38 fof(f114,plain,(
% 0.11/0.38 (![A,B,C,D]: (~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D))))&(![A,B,C,D]: (in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D))))),
% 0.11/0.38 inference(miniscoping,[status(esa)],[f113])).
% 0.11/0.38 fof(f115,plain,(
% 0.11/0.38 ![X0,X1,X2,X3]: (~in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|in(X0,X2))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f114])).
% 0.11/0.38 fof(f116,plain,(
% 0.11/0.38 ![X0,X1,X2,X3]: (~in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|in(X1,X3))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f114])).
% 0.11/0.38 fof(f117,plain,(
% 0.11/0.38 ![X0,X1,X2,X3]: (in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|~in(X0,X2)|~in(X1,X3))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f114])).
% 0.11/0.38 fof(f118,plain,(
% 0.11/0.38 ![A,B]: (~in(A,B)|element(A,B))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.11/0.38 fof(f119,plain,(
% 0.11/0.38 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f118])).
% 0.11/0.38 fof(f120,plain,(
% 0.11/0.38 (?[A]: ((transitive_relstr(A)&rel_str(A))&(?[B]: (element(B,the_carrier(A))&(?[C]: (element(C,the_carrier(A))&(?[D]: (element(D,the_carrier(A))&((related(A,B,C)&related(A,C,D))&~related(A,B,D))))))))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.11/0.38 fof(f121,plain,(
% 0.11/0.38 ((transitive_relstr(sk0_12)&rel_str(sk0_12))&(element(sk0_13,the_carrier(sk0_12))&(element(sk0_14,the_carrier(sk0_12))&(element(sk0_15,the_carrier(sk0_12))&((related(sk0_12,sk0_13,sk0_14)&related(sk0_12,sk0_14,sk0_15))&~related(sk0_12,sk0_13,sk0_15))))))),
% 0.11/0.38 inference(skolemization,[status(esa)],[f120])).
% 0.11/0.38 fof(f122,plain,(
% 0.11/0.38 transitive_relstr(sk0_12)),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f121])).
% 0.11/0.38 fof(f123,plain,(
% 0.11/0.38 rel_str(sk0_12)),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f121])).
% 0.11/0.38 fof(f124,plain,(
% 0.11/0.38 element(sk0_13,the_carrier(sk0_12))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f121])).
% 0.11/0.38 fof(f125,plain,(
% 0.11/0.38 element(sk0_14,the_carrier(sk0_12))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f121])).
% 0.11/0.38 fof(f126,plain,(
% 0.11/0.38 element(sk0_15,the_carrier(sk0_12))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f121])).
% 0.11/0.38 fof(f127,plain,(
% 0.11/0.38 related(sk0_12,sk0_13,sk0_14)),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f121])).
% 0.11/0.38 fof(f128,plain,(
% 0.11/0.38 related(sk0_12,sk0_14,sk0_15)),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f121])).
% 0.11/0.38 fof(f129,plain,(
% 0.11/0.38 ~related(sk0_12,sk0_13,sk0_15)),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f121])).
% 0.11/0.38 fof(f130,plain,(
% 0.11/0.38 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.11/0.38 fof(f131,plain,(
% 0.11/0.38 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f130])).
% 0.11/0.38 fof(f132,plain,(
% 0.11/0.38 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.11/0.38 inference(NNF_transformation,[status(esa)],[f42])).
% 0.11/0.38 fof(f133,plain,(
% 0.11/0.38 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.11/0.38 inference(miniscoping,[status(esa)],[f132])).
% 0.11/0.38 fof(f135,plain,(
% 0.11/0.38 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f133])).
% 0.11/0.38 fof(f136,plain,(
% 0.11/0.38 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.11/0.38 fof(f137,plain,(
% 0.11/0.38 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.11/0.38 inference(miniscoping,[status(esa)],[f136])).
% 0.11/0.38 fof(f138,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f137])).
% 0.11/0.38 fof(f139,plain,(
% 0.11/0.38 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.11/0.38 fof(f140,plain,(
% 0.11/0.38 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 0.11/0.38 inference(miniscoping,[status(esa)],[f139])).
% 0.11/0.38 fof(f141,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f140])).
% 0.11/0.38 fof(f142,plain,(
% 0.11/0.38 ![A]: (~empty(A)|A=empty_set)),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.11/0.38 fof(f143,plain,(
% 0.11/0.38 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f142])).
% 0.11/0.38 fof(f144,plain,(
% 0.11/0.38 ![A,B]: (~in(A,B)|~empty(B))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 0.11/0.38 fof(f145,plain,(
% 0.11/0.38 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.11/0.38 inference(miniscoping,[status(esa)],[f144])).
% 0.11/0.38 fof(f146,plain,(
% 0.11/0.38 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.11/0.38 inference(cnf_transformation,[status(esa)],[f145])).
% 0.11/0.38 fof(f150,plain,(
% 0.11/0.38 spl0_0 <=> empty(the_carrier(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f151,plain,(
% 0.11/0.38 empty(the_carrier(sk0_12))|~spl0_0),
% 0.11/0.38 inference(component_clause,[status(thm)],[f150])).
% 0.11/0.38 fof(f153,plain,(
% 0.11/0.38 spl0_1 <=> in(sk0_15,the_carrier(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f156,plain,(
% 0.11/0.38 empty(the_carrier(sk0_12))|in(sk0_15,the_carrier(sk0_12))),
% 0.11/0.38 inference(resolution,[status(thm)],[f131,f126])).
% 0.11/0.38 fof(f157,plain,(
% 0.11/0.38 spl0_0|spl0_1),
% 0.11/0.38 inference(split_clause,[status(thm)],[f156,f150,f153])).
% 0.11/0.38 fof(f158,plain,(
% 0.11/0.38 spl0_2 <=> in(sk0_14,the_carrier(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f161,plain,(
% 0.11/0.38 empty(the_carrier(sk0_12))|in(sk0_14,the_carrier(sk0_12))),
% 0.11/0.38 inference(resolution,[status(thm)],[f131,f125])).
% 0.11/0.38 fof(f162,plain,(
% 0.11/0.38 spl0_0|spl0_2),
% 0.11/0.38 inference(split_clause,[status(thm)],[f161,f150,f158])).
% 0.11/0.38 fof(f163,plain,(
% 0.11/0.38 spl0_3 <=> in(sk0_13,the_carrier(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f166,plain,(
% 0.11/0.38 empty(the_carrier(sk0_12))|in(sk0_13,the_carrier(sk0_12))),
% 0.11/0.38 inference(resolution,[status(thm)],[f131,f124])).
% 0.11/0.38 fof(f167,plain,(
% 0.11/0.38 spl0_0|spl0_3),
% 0.11/0.38 inference(split_clause,[status(thm)],[f166,f150,f163])).
% 0.11/0.38 fof(f168,plain,(
% 0.11/0.38 spl0_4 <=> rel_str(sk0_12)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f170,plain,(
% 0.11/0.38 ~rel_str(sk0_12)|spl0_4),
% 0.11/0.38 inference(component_clause,[status(thm)],[f168])).
% 0.11/0.38 fof(f171,plain,(
% 0.11/0.38 spl0_5 <=> is_transitive_in(the_InternalRel(sk0_12),the_carrier(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f172,plain,(
% 0.11/0.38 is_transitive_in(the_InternalRel(sk0_12),the_carrier(sk0_12))|~spl0_5),
% 0.11/0.38 inference(component_clause,[status(thm)],[f171])).
% 0.11/0.38 fof(f174,plain,(
% 0.11/0.38 ~rel_str(sk0_12)|is_transitive_in(the_InternalRel(sk0_12),the_carrier(sk0_12))),
% 0.11/0.38 inference(resolution,[status(thm)],[f56,f122])).
% 0.11/0.38 fof(f175,plain,(
% 0.11/0.38 ~spl0_4|spl0_5),
% 0.11/0.38 inference(split_clause,[status(thm)],[f174,f168,f171])).
% 0.11/0.38 fof(f176,plain,(
% 0.11/0.38 $false|spl0_4),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f170,f123])).
% 0.11/0.38 fof(f177,plain,(
% 0.11/0.38 spl0_4),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f176])).
% 0.11/0.38 fof(f178,plain,(
% 0.11/0.38 spl0_6 <=> element(sk0_14,the_carrier(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f180,plain,(
% 0.11/0.38 ~element(sk0_14,the_carrier(sk0_12))|spl0_6),
% 0.11/0.38 inference(component_clause,[status(thm)],[f178])).
% 0.11/0.38 fof(f181,plain,(
% 0.11/0.38 spl0_7 <=> element(sk0_15,the_carrier(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f183,plain,(
% 0.11/0.38 ~element(sk0_15,the_carrier(sk0_12))|spl0_7),
% 0.11/0.38 inference(component_clause,[status(thm)],[f181])).
% 0.11/0.38 fof(f184,plain,(
% 0.11/0.38 spl0_8 <=> in(ordered_pair(sk0_14,sk0_15),the_InternalRel(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f185,plain,(
% 0.11/0.38 in(ordered_pair(sk0_14,sk0_15),the_InternalRel(sk0_12))|~spl0_8),
% 0.11/0.38 inference(component_clause,[status(thm)],[f184])).
% 0.11/0.38 fof(f187,plain,(
% 0.11/0.38 ~rel_str(sk0_12)|~element(sk0_14,the_carrier(sk0_12))|~element(sk0_15,the_carrier(sk0_12))|in(ordered_pair(sk0_14,sk0_15),the_InternalRel(sk0_12))),
% 0.11/0.38 inference(resolution,[status(thm)],[f72,f128])).
% 0.11/0.38 fof(f188,plain,(
% 0.11/0.38 ~spl0_4|~spl0_6|~spl0_7|spl0_8),
% 0.11/0.38 inference(split_clause,[status(thm)],[f187,f168,f178,f181,f184])).
% 0.11/0.38 fof(f189,plain,(
% 0.11/0.38 spl0_9 <=> element(sk0_13,the_carrier(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f191,plain,(
% 0.11/0.38 ~element(sk0_13,the_carrier(sk0_12))|spl0_9),
% 0.11/0.38 inference(component_clause,[status(thm)],[f189])).
% 0.11/0.38 fof(f192,plain,(
% 0.11/0.38 spl0_10 <=> in(ordered_pair(sk0_13,sk0_14),the_InternalRel(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f193,plain,(
% 0.11/0.38 in(ordered_pair(sk0_13,sk0_14),the_InternalRel(sk0_12))|~spl0_10),
% 0.11/0.38 inference(component_clause,[status(thm)],[f192])).
% 0.11/0.38 fof(f195,plain,(
% 0.11/0.38 ~rel_str(sk0_12)|~element(sk0_13,the_carrier(sk0_12))|~element(sk0_14,the_carrier(sk0_12))|in(ordered_pair(sk0_13,sk0_14),the_InternalRel(sk0_12))),
% 0.11/0.38 inference(resolution,[status(thm)],[f72,f127])).
% 0.11/0.38 fof(f196,plain,(
% 0.11/0.38 ~spl0_4|~spl0_9|~spl0_6|spl0_10),
% 0.11/0.38 inference(split_clause,[status(thm)],[f195,f168,f189,f178,f192])).
% 0.11/0.38 fof(f197,plain,(
% 0.11/0.38 $false|spl0_9),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f191,f124])).
% 0.11/0.38 fof(f198,plain,(
% 0.11/0.38 spl0_9),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f197])).
% 0.11/0.38 fof(f199,plain,(
% 0.11/0.38 $false|spl0_6),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f180,f125])).
% 0.11/0.38 fof(f200,plain,(
% 0.11/0.38 spl0_6),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f199])).
% 0.11/0.38 fof(f201,plain,(
% 0.11/0.38 $false|spl0_7),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f183,f126])).
% 0.11/0.38 fof(f202,plain,(
% 0.11/0.38 spl0_7),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f201])).
% 0.11/0.38 fof(f206,plain,(
% 0.11/0.38 ![X0]: (empty(X0)|in(sk0_6(X0),X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f87,f131])).
% 0.11/0.38 fof(f207,plain,(
% 0.11/0.38 ![X0]: (sk0_10(X0)=empty_set)),
% 0.11/0.38 inference(resolution,[status(thm)],[f143,f104])).
% 0.11/0.38 fof(f225,plain,(
% 0.11/0.38 the_carrier(sk0_12)=empty_set|~spl0_0),
% 0.11/0.38 inference(resolution,[status(thm)],[f151,f143])).
% 0.11/0.38 fof(f230,plain,(
% 0.11/0.38 spl0_11 <=> transitive_relstr(sk0_12)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f233,plain,(
% 0.11/0.38 spl0_12 <=> is_transitive_in(the_InternalRel(sk0_12),empty_set)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f238,plain,(
% 0.11/0.38 spl0_13 <=> empty(empty_set)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f241,plain,(
% 0.11/0.38 spl0_14 <=> in(sk0_15,empty_set)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f242,plain,(
% 0.11/0.38 in(sk0_15,empty_set)|~spl0_14),
% 0.11/0.38 inference(component_clause,[status(thm)],[f241])).
% 0.11/0.38 fof(f246,plain,(
% 0.11/0.38 spl0_15 <=> in(sk0_14,empty_set)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f247,plain,(
% 0.11/0.38 in(sk0_14,empty_set)|~spl0_15),
% 0.11/0.38 inference(component_clause,[status(thm)],[f246])).
% 0.11/0.38 fof(f251,plain,(
% 0.11/0.38 ~rel_str(sk0_12)|transitive_relstr(sk0_12)|~spl0_5),
% 0.11/0.38 inference(resolution,[status(thm)],[f172,f57])).
% 0.11/0.38 fof(f252,plain,(
% 0.11/0.38 ~spl0_4|spl0_11|~spl0_5),
% 0.11/0.38 inference(split_clause,[status(thm)],[f251,f168,f230,f171])).
% 0.11/0.38 fof(f253,plain,(
% 0.11/0.38 spl0_16 <=> relation(the_InternalRel(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f254,plain,(
% 0.11/0.38 relation(the_InternalRel(sk0_12))|~spl0_16),
% 0.11/0.38 inference(component_clause,[status(thm)],[f253])).
% 0.11/0.38 fof(f255,plain,(
% 0.11/0.38 ~relation(the_InternalRel(sk0_12))|spl0_16),
% 0.11/0.38 inference(component_clause,[status(thm)],[f253])).
% 0.11/0.38 fof(f256,plain,(
% 0.11/0.38 spl0_17 <=> ~in(X0,the_carrier(sk0_12))|~in(X1,the_carrier(sk0_12))|~in(X2,the_carrier(sk0_12))|~in(ordered_pair(X0,X1),the_InternalRel(sk0_12))|~in(ordered_pair(X1,X2),the_InternalRel(sk0_12))|in(ordered_pair(X0,X2),the_InternalRel(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f257,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~in(X0,the_carrier(sk0_12))|~in(X1,the_carrier(sk0_12))|~in(X2,the_carrier(sk0_12))|~in(ordered_pair(X0,X1),the_InternalRel(sk0_12))|~in(ordered_pair(X1,X2),the_InternalRel(sk0_12))|in(ordered_pair(X0,X2),the_InternalRel(sk0_12))|~spl0_17)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f256])).
% 0.11/0.38 fof(f259,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~relation(the_InternalRel(sk0_12))|~in(X0,the_carrier(sk0_12))|~in(X1,the_carrier(sk0_12))|~in(X2,the_carrier(sk0_12))|~in(ordered_pair(X0,X1),the_InternalRel(sk0_12))|~in(ordered_pair(X1,X2),the_InternalRel(sk0_12))|in(ordered_pair(X0,X2),the_InternalRel(sk0_12))|~spl0_5)),
% 0.11/0.38 inference(resolution,[status(thm)],[f172,f63])).
% 0.11/0.38 fof(f260,plain,(
% 0.11/0.38 ~spl0_16|spl0_17|~spl0_5),
% 0.11/0.38 inference(split_clause,[status(thm)],[f259,f253,f256,f171])).
% 0.11/0.38 fof(f273,plain,(
% 0.11/0.38 spl0_18 <=> related(sk0_12,sk0_13,sk0_14)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f276,plain,(
% 0.11/0.38 ~rel_str(sk0_12)|~element(sk0_13,the_carrier(sk0_12))|~element(sk0_14,the_carrier(sk0_12))|related(sk0_12,sk0_13,sk0_14)|~spl0_10),
% 0.11/0.38 inference(resolution,[status(thm)],[f193,f73])).
% 0.11/0.38 fof(f277,plain,(
% 0.11/0.38 ~spl0_4|~spl0_9|~spl0_6|spl0_18|~spl0_10),
% 0.11/0.38 inference(split_clause,[status(thm)],[f276,f168,f189,f178,f273,f192])).
% 0.11/0.38 fof(f280,plain,(
% 0.11/0.38 spl0_19 <=> related(sk0_12,sk0_14,sk0_15)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f283,plain,(
% 0.11/0.38 ~rel_str(sk0_12)|~element(sk0_14,the_carrier(sk0_12))|~element(sk0_15,the_carrier(sk0_12))|related(sk0_12,sk0_14,sk0_15)|~spl0_8),
% 0.11/0.38 inference(resolution,[status(thm)],[f185,f73])).
% 0.11/0.38 fof(f284,plain,(
% 0.11/0.38 ~spl0_4|~spl0_6|~spl0_7|spl0_19|~spl0_8),
% 0.11/0.38 inference(split_clause,[status(thm)],[f283,f168,f178,f181,f280,f184])).
% 0.11/0.38 fof(f287,plain,(
% 0.11/0.38 spl0_20 <=> empty(the_InternalRel(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f288,plain,(
% 0.11/0.38 empty(the_InternalRel(sk0_12))|~spl0_20),
% 0.11/0.38 inference(component_clause,[status(thm)],[f287])).
% 0.11/0.38 fof(f294,plain,(
% 0.11/0.38 ![X0]: (empty(X0)|~in(X0,sk0_6(X0)))),
% 0.11/0.38 inference(resolution,[status(thm)],[f206,f49])).
% 0.11/0.38 fof(f296,plain,(
% 0.11/0.38 ~empty(the_InternalRel(sk0_12))|~spl0_8),
% 0.11/0.38 inference(resolution,[status(thm)],[f146,f185])).
% 0.11/0.38 fof(f301,plain,(
% 0.11/0.38 ![X0]: (element(empty_set,powerset(X0)))),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f207,f103])).
% 0.11/0.38 fof(f302,plain,(
% 0.11/0.38 relation(empty_set)),
% 0.11/0.38 inference(resolution,[status(thm)],[f301,f52])).
% 0.11/0.38 fof(f303,plain,(
% 0.11/0.38 ![X0]: (empty(powerset(X0))|in(empty_set,powerset(X0)))),
% 0.11/0.38 inference(resolution,[status(thm)],[f301,f131])).
% 0.11/0.38 fof(f304,plain,(
% 0.11/0.38 ![X0]: (in(empty_set,powerset(X0)))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f303,f90])).
% 0.11/0.38 fof(f308,plain,(
% 0.11/0.38 ![X0]: (is_transitive_in(empty_set,X0)|in(sk0_2(X0,empty_set),X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f302,f65])).
% 0.11/0.38 fof(f309,plain,(
% 0.11/0.38 ![X0]: (is_transitive_in(empty_set,X0)|in(sk0_0(X0,empty_set),X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f302,f64])).
% 0.11/0.38 fof(f319,plain,(
% 0.11/0.38 ![X0]: (element(X0,powerset(X0)))),
% 0.11/0.38 inference(resolution,[status(thm)],[f135,f112])).
% 0.11/0.38 fof(f321,plain,(
% 0.11/0.38 ![X0]: (is_transitive_in(empty_set,X0)|in(ordered_pair(sk0_0(X0,empty_set),sk0_2(X0,empty_set)),empty_set))),
% 0.11/0.38 inference(resolution,[status(thm)],[f67,f302])).
% 0.11/0.38 fof(f322,plain,(
% 0.11/0.38 ![X0,X1]: (relation(cartesian_product2(X0,X1)))),
% 0.11/0.38 inference(resolution,[status(thm)],[f319,f52])).
% 0.11/0.38 fof(f324,plain,(
% 0.11/0.38 ![X0]: (empty(powerset(X0))|in(X0,powerset(X0)))),
% 0.11/0.38 inference(resolution,[status(thm)],[f319,f131])).
% 0.11/0.38 fof(f325,plain,(
% 0.11/0.38 ![X0]: (in(X0,powerset(X0)))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f324,f90])).
% 0.11/0.38 fof(f327,plain,(
% 0.11/0.38 ![X0,X1,X2]: (is_transitive_in(cartesian_product2(X0,X1),X2)|in(sk0_1(X2,cartesian_product2(X0,X1)),X2))),
% 0.11/0.38 inference(resolution,[status(thm)],[f322,f66])).
% 0.11/0.38 fof(f339,plain,(
% 0.11/0.38 ![X0]: (empty(X0)|empty(powerset(X0))|in(sk0_8(X0),powerset(X0)))),
% 0.11/0.38 inference(resolution,[status(thm)],[f98,f131])).
% 0.11/0.38 fof(f340,plain,(
% 0.11/0.38 ![X0]: (empty(X0)|in(sk0_8(X0),powerset(X0)))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f339,f90])).
% 0.11/0.38 fof(f346,plain,(
% 0.11/0.38 ![X0,X1]: (~element(powerset(X0),powerset(X1))|~empty(X1))),
% 0.11/0.38 inference(resolution,[status(thm)],[f141,f304])).
% 0.11/0.38 fof(f347,plain,(
% 0.11/0.38 ![X0,X1]: (~element(X0,powerset(X1))|~empty(X1)|empty(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f141,f206])).
% 0.11/0.38 fof(f355,plain,(
% 0.11/0.38 spl0_21 <=> ~empty(X0)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f356,plain,(
% 0.11/0.38 ![X0]: (~empty(X0)|~spl0_21)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f355])).
% 0.11/0.38 fof(f358,plain,(
% 0.11/0.38 ![X0]: (~empty(X0)|empty(empty_set))),
% 0.11/0.38 inference(resolution,[status(thm)],[f347,f301])).
% 0.11/0.38 fof(f359,plain,(
% 0.11/0.38 spl0_21|spl0_13),
% 0.11/0.38 inference(split_clause,[status(thm)],[f358,f355,f238])).
% 0.11/0.38 fof(f360,plain,(
% 0.11/0.38 ![X0]: (~empty(X0)|empty(sk0_6(powerset(X0))))),
% 0.11/0.38 inference(resolution,[status(thm)],[f347,f87])).
% 0.11/0.38 fof(f361,plain,(
% 0.11/0.38 empty(sk0_6(powerset(empty_set)))),
% 0.11/0.38 inference(resolution,[status(thm)],[f360,f91])).
% 0.11/0.38 fof(f366,plain,(
% 0.11/0.38 ![X0,X1]: (element(sk0_7(X0,X1),powerset(cartesian_product2(X1,X0))))),
% 0.11/0.38 inference(resolution,[status(thm)],[f77,f89])).
% 0.11/0.38 fof(f371,plain,(
% 0.11/0.38 sk0_6(powerset(empty_set))=empty_set),
% 0.11/0.38 inference(resolution,[status(thm)],[f361,f143])).
% 0.11/0.38 fof(f374,plain,(
% 0.11/0.38 spl0_22 <=> empty(powerset(empty_set))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f375,plain,(
% 0.11/0.38 empty(powerset(empty_set))|~spl0_22),
% 0.11/0.38 inference(component_clause,[status(thm)],[f374])).
% 0.11/0.38 fof(f377,plain,(
% 0.11/0.38 spl0_23 <=> in(powerset(empty_set),empty_set)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f380,plain,(
% 0.11/0.38 empty(powerset(empty_set))|~in(powerset(empty_set),empty_set)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f371,f294])).
% 0.11/0.38 fof(f381,plain,(
% 0.11/0.38 spl0_22|~spl0_23),
% 0.11/0.38 inference(split_clause,[status(thm)],[f380,f374,f377])).
% 0.11/0.38 fof(f382,plain,(
% 0.11/0.38 spl0_24 <=> in(empty_set,powerset(empty_set))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f385,plain,(
% 0.11/0.38 empty(powerset(empty_set))|in(empty_set,powerset(empty_set))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f371,f206])).
% 0.11/0.38 fof(f386,plain,(
% 0.11/0.38 spl0_22|spl0_24),
% 0.11/0.38 inference(split_clause,[status(thm)],[f385,f374,f382])).
% 0.11/0.38 fof(f388,plain,(
% 0.11/0.38 $false|~spl0_22),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f375,f90])).
% 0.11/0.38 fof(f389,plain,(
% 0.11/0.38 ~spl0_22),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f388])).
% 0.11/0.38 fof(f409,plain,(
% 0.11/0.38 relation_of2_as_subset(the_InternalRel(sk0_12),the_carrier(sk0_12),the_carrier(sk0_12))),
% 0.11/0.38 inference(resolution,[status(thm)],[f79,f123])).
% 0.11/0.38 fof(f410,plain,(
% 0.11/0.38 element(the_InternalRel(sk0_12),powerset(cartesian_product2(the_carrier(sk0_12),the_carrier(sk0_12))))),
% 0.11/0.38 inference(resolution,[status(thm)],[f409,f77])).
% 0.11/0.38 fof(f414,plain,(
% 0.11/0.38 relation(the_InternalRel(sk0_12))),
% 0.11/0.38 inference(resolution,[status(thm)],[f410,f52])).
% 0.11/0.38 fof(f415,plain,(
% 0.11/0.38 $false|spl0_16),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f414,f255])).
% 0.11/0.38 fof(f416,plain,(
% 0.11/0.38 spl0_16),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f415])).
% 0.11/0.38 fof(f417,plain,(
% 0.11/0.38 spl0_25 <=> empty(cartesian_product2(the_carrier(sk0_12),the_carrier(sk0_12)))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f420,plain,(
% 0.11/0.38 ~empty(cartesian_product2(the_carrier(sk0_12),the_carrier(sk0_12)))|empty(the_InternalRel(sk0_12))),
% 0.11/0.38 inference(resolution,[status(thm)],[f410,f347])).
% 0.11/0.38 fof(f421,plain,(
% 0.11/0.38 ~spl0_25|spl0_20),
% 0.11/0.38 inference(split_clause,[status(thm)],[f420,f417,f287])).
% 0.11/0.38 fof(f423,plain,(
% 0.11/0.38 spl0_26 <=> empty(powerset(cartesian_product2(the_carrier(sk0_12),the_carrier(sk0_12))))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f424,plain,(
% 0.11/0.38 empty(powerset(cartesian_product2(the_carrier(sk0_12),the_carrier(sk0_12))))|~spl0_26),
% 0.11/0.38 inference(component_clause,[status(thm)],[f423])).
% 0.11/0.38 fof(f426,plain,(
% 0.11/0.38 spl0_27 <=> in(the_InternalRel(sk0_12),powerset(cartesian_product2(the_carrier(sk0_12),the_carrier(sk0_12))))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f429,plain,(
% 0.11/0.38 empty(powerset(cartesian_product2(the_carrier(sk0_12),the_carrier(sk0_12))))|in(the_InternalRel(sk0_12),powerset(cartesian_product2(the_carrier(sk0_12),the_carrier(sk0_12))))),
% 0.11/0.38 inference(resolution,[status(thm)],[f410,f131])).
% 0.11/0.38 fof(f430,plain,(
% 0.11/0.38 spl0_26|spl0_27),
% 0.11/0.38 inference(split_clause,[status(thm)],[f429,f423,f426])).
% 0.11/0.38 fof(f431,plain,(
% 0.11/0.38 $false|~spl0_26),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f424,f90])).
% 0.11/0.38 fof(f432,plain,(
% 0.11/0.38 ~spl0_26),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f431])).
% 0.11/0.38 fof(f433,plain,(
% 0.11/0.38 ![X0]: (is_transitive_in(the_InternalRel(sk0_12),X0)|in(ordered_pair(sk0_2(X0,the_InternalRel(sk0_12)),sk0_1(X0,the_InternalRel(sk0_12))),the_InternalRel(sk0_12))|~spl0_16)),
% 0.11/0.38 inference(resolution,[status(thm)],[f254,f68])).
% 0.11/0.38 fof(f434,plain,(
% 0.11/0.38 ![X0]: (is_transitive_in(the_InternalRel(sk0_12),X0)|in(ordered_pair(sk0_0(X0,the_InternalRel(sk0_12)),sk0_2(X0,the_InternalRel(sk0_12))),the_InternalRel(sk0_12))|~spl0_16)),
% 0.11/0.38 inference(resolution,[status(thm)],[f254,f67])).
% 0.11/0.38 fof(f435,plain,(
% 0.11/0.38 ![X0]: (is_transitive_in(the_InternalRel(sk0_12),X0)|in(sk0_1(X0,the_InternalRel(sk0_12)),X0)|~spl0_16)),
% 0.11/0.38 inference(resolution,[status(thm)],[f254,f66])).
% 0.11/0.38 fof(f438,plain,(
% 0.11/0.38 ![X0,X1]: (is_transitive_in(the_InternalRel(sk0_12),X0)|~element(X0,powerset(X1))|~empty(X1)|~spl0_16)),
% 0.11/0.38 inference(resolution,[status(thm)],[f435,f141])).
% 0.11/0.38 fof(f439,plain,(
% 0.11/0.38 ![X0]: (is_transitive_in(the_InternalRel(sk0_12),X0)|~empty(X0)|~spl0_16)),
% 0.11/0.38 inference(resolution,[status(thm)],[f435,f146])).
% 0.11/0.38 fof(f442,plain,(
% 0.11/0.38 is_transitive_in(the_InternalRel(sk0_12),empty_set)|~spl0_16),
% 0.11/0.38 inference(resolution,[status(thm)],[f439,f91])).
% 0.11/0.38 fof(f443,plain,(
% 0.11/0.38 spl0_28 <=> ~in(X0,empty_set)|~in(X1,empty_set)|~in(X2,empty_set)|~in(ordered_pair(X0,X1),the_InternalRel(sk0_12))|~in(ordered_pair(X1,X2),the_InternalRel(sk0_12))|in(ordered_pair(X0,X2),the_InternalRel(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f446,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~relation(the_InternalRel(sk0_12))|~in(X0,empty_set)|~in(X1,empty_set)|~in(X2,empty_set)|~in(ordered_pair(X0,X1),the_InternalRel(sk0_12))|~in(ordered_pair(X1,X2),the_InternalRel(sk0_12))|in(ordered_pair(X0,X2),the_InternalRel(sk0_12))|~spl0_16)),
% 0.11/0.38 inference(resolution,[status(thm)],[f442,f63])).
% 0.11/0.38 fof(f447,plain,(
% 0.11/0.38 ~spl0_16|spl0_28),
% 0.11/0.38 inference(split_clause,[status(thm)],[f446,f253,f443])).
% 0.11/0.38 fof(f454,plain,(
% 0.11/0.38 ![X0]: (is_transitive_in(the_InternalRel(sk0_12),empty_set)|~empty(X0)|~spl0_16)),
% 0.11/0.38 inference(resolution,[status(thm)],[f438,f301])).
% 0.11/0.38 fof(f455,plain,(
% 0.11/0.38 spl0_12|spl0_21|~spl0_16),
% 0.11/0.38 inference(split_clause,[status(thm)],[f454,f233,f355,f253])).
% 0.11/0.38 fof(f465,plain,(
% 0.11/0.38 $false|~spl0_21),
% 0.11/0.38 inference(backward_subsumption_resolution,[status(thm)],[f91,f356])).
% 0.11/0.38 fof(f466,plain,(
% 0.11/0.38 ~spl0_21),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f465])).
% 0.11/0.38 fof(f475,plain,(
% 0.11/0.38 spl0_31 <=> ~in(X0,the_carrier(sk0_12))|~in(ordered_pair(sk0_14,X0),the_InternalRel(sk0_12))|in(ordered_pair(sk0_13,X0),the_InternalRel(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f476,plain,(
% 0.11/0.38 ![X0]: (~in(X0,the_carrier(sk0_12))|~in(ordered_pair(sk0_14,X0),the_InternalRel(sk0_12))|in(ordered_pair(sk0_13,X0),the_InternalRel(sk0_12))|~spl0_31)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f475])).
% 0.11/0.38 fof(f478,plain,(
% 0.11/0.38 ![X0]: (~in(sk0_13,the_carrier(sk0_12))|~in(sk0_14,the_carrier(sk0_12))|~in(X0,the_carrier(sk0_12))|~in(ordered_pair(sk0_14,X0),the_InternalRel(sk0_12))|in(ordered_pair(sk0_13,X0),the_InternalRel(sk0_12))|~spl0_17|~spl0_10)),
% 0.11/0.38 inference(resolution,[status(thm)],[f257,f193])).
% 0.11/0.38 fof(f479,plain,(
% 0.11/0.38 ~spl0_3|~spl0_2|spl0_31|~spl0_17|~spl0_10),
% 0.11/0.38 inference(split_clause,[status(thm)],[f478,f163,f158,f475,f256,f192])).
% 0.11/0.38 fof(f489,plain,(
% 0.11/0.38 spl0_32 <=> in(sk0_13,empty_set)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f490,plain,(
% 0.11/0.38 in(sk0_13,empty_set)|~spl0_32),
% 0.11/0.38 inference(component_clause,[status(thm)],[f489])).
% 0.11/0.38 fof(f510,plain,(
% 0.11/0.38 ![X0]: (~empty(powerset(X0)))),
% 0.11/0.38 inference(resolution,[status(thm)],[f346,f319])).
% 0.11/0.38 fof(f512,plain,(
% 0.11/0.38 ![X0]: (empty(X0)|element(sk0_8(X0),powerset(X0)))),
% 0.11/0.38 inference(resolution,[status(thm)],[f340,f119])).
% 0.11/0.38 fof(f539,plain,(
% 0.11/0.38 ![X0,X1]: (empty(powerset(cartesian_product2(X0,X1)))|in(sk0_7(X1,X0),powerset(cartesian_product2(X0,X1))))),
% 0.11/0.38 inference(resolution,[status(thm)],[f366,f131])).
% 0.11/0.38 fof(f540,plain,(
% 0.11/0.38 ![X0,X1]: (in(sk0_7(X0,X1),powerset(cartesian_product2(X1,X0))))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f539,f510])).
% 0.11/0.38 fof(f547,plain,(
% 0.11/0.38 ![X0,X1,X2]: (in(ordered_pair(sk0_8(X0),X1),cartesian_product2(powerset(X0),X2))|~in(X1,X2)|empty(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f117,f340])).
% 0.11/0.38 fof(f552,plain,(
% 0.11/0.38 ![X0,X1]: (in(ordered_pair(ordered_pair(sk0_14,sk0_15),X0),cartesian_product2(the_InternalRel(sk0_12),X1))|~in(X0,X1)|~spl0_8)),
% 0.11/0.38 inference(resolution,[status(thm)],[f117,f185])).
% 0.11/0.38 fof(f554,plain,(
% 0.11/0.38 ![X0,X1,X2]: (in(ordered_pair(X0,X1),cartesian_product2(powerset(X0),X2))|~in(X1,X2))),
% 0.11/0.38 inference(resolution,[status(thm)],[f117,f325])).
% 0.11/0.38 fof(f563,plain,(
% 0.11/0.38 element(the_InternalRel(sk0_12),powerset(cartesian_product2(the_carrier(sk0_12),empty_set)))|~spl0_0),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f225,f410])).
% 0.11/0.38 fof(f564,plain,(
% 0.11/0.38 element(the_InternalRel(sk0_12),powerset(cartesian_product2(empty_set,empty_set)))|~spl0_0),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f225,f563])).
% 0.11/0.38 fof(f567,plain,(
% 0.11/0.38 relation_of2_as_subset(the_InternalRel(sk0_12),the_carrier(sk0_12),empty_set)|~spl0_0),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f225,f409])).
% 0.11/0.38 fof(f568,plain,(
% 0.11/0.38 relation_of2_as_subset(the_InternalRel(sk0_12),empty_set,empty_set)|~spl0_0),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f225,f567])).
% 0.11/0.38 fof(f574,plain,(
% 0.11/0.38 ~empty(empty_set)|~spl0_32),
% 0.11/0.38 inference(resolution,[status(thm)],[f490,f146])).
% 0.11/0.38 fof(f575,plain,(
% 0.11/0.38 $false|~spl0_32),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f574,f91])).
% 0.11/0.38 fof(f576,plain,(
% 0.11/0.38 ~spl0_32),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f575])).
% 0.11/0.38 fof(f577,plain,(
% 0.11/0.38 element(the_InternalRel(sk0_12),powerset(cartesian_product2(empty_set,empty_set)))|~spl0_0),
% 0.11/0.38 inference(resolution,[status(thm)],[f568,f77])).
% 0.11/0.38 fof(f588,plain,(
% 0.11/0.38 spl0_33 <=> empty(cartesian_product2(empty_set,empty_set))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f591,plain,(
% 0.11/0.38 ~empty(cartesian_product2(empty_set,empty_set))|empty(the_InternalRel(sk0_12))|~spl0_0),
% 0.11/0.38 inference(resolution,[status(thm)],[f564,f347])).
% 0.11/0.38 fof(f592,plain,(
% 0.11/0.38 ~spl0_33|spl0_20|~spl0_0),
% 0.11/0.38 inference(split_clause,[status(thm)],[f591,f588,f287,f150])).
% 0.11/0.38 fof(f594,plain,(
% 0.11/0.38 spl0_34 <=> empty(powerset(cartesian_product2(empty_set,empty_set)))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f595,plain,(
% 0.11/0.38 empty(powerset(cartesian_product2(empty_set,empty_set)))|~spl0_34),
% 0.11/0.38 inference(component_clause,[status(thm)],[f594])).
% 0.11/0.38 fof(f602,plain,(
% 0.11/0.38 $false|~spl0_8|~spl0_20),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f288,f296])).
% 0.11/0.38 fof(f603,plain,(
% 0.11/0.38 ~spl0_8|~spl0_20),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f602])).
% 0.11/0.38 fof(f604,plain,(
% 0.11/0.38 $false|~spl0_34),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f595,f510])).
% 0.11/0.38 fof(f605,plain,(
% 0.11/0.38 ~spl0_34),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f604])).
% 0.11/0.38 fof(f630,plain,(
% 0.11/0.38 ![X0]: (in(ordered_pair(ordered_pair(sk0_14,sk0_15),sk0_6(X0)),cartesian_product2(the_InternalRel(sk0_12),X0))|empty(X0)|~spl0_8)),
% 0.11/0.38 inference(resolution,[status(thm)],[f552,f206])).
% 0.11/0.38 fof(f674,plain,(
% 0.11/0.38 ![X0,X1]: (in(ordered_pair(X0,sk0_6(X1)),cartesian_product2(powerset(X0),X1))|empty(X1))),
% 0.11/0.38 inference(resolution,[status(thm)],[f554,f206])).
% 0.11/0.38 fof(f690,plain,(
% 0.11/0.38 ![X0,X1,X2]: (in(ordered_pair(sk0_8(X0),sk0_7(X1,X2)),cartesian_product2(powerset(X0),powerset(cartesian_product2(X2,X1))))|empty(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f547,f540])).
% 0.11/0.38 fof(f694,plain,(
% 0.11/0.38 ![X0,X1]: (in(ordered_pair(sk0_8(X0),sk0_8(X1)),cartesian_product2(powerset(X0),powerset(X1)))|empty(X0)|empty(X1))),
% 0.11/0.38 inference(resolution,[status(thm)],[f547,f340])).
% 0.11/0.38 fof(f695,plain,(
% 0.11/0.38 ![X0,X1]: (in(ordered_pair(sk0_8(X0),sk0_6(X1)),cartesian_product2(powerset(X0),X1))|empty(X0)|empty(X1))),
% 0.11/0.38 inference(resolution,[status(thm)],[f547,f206])).
% 0.11/0.38 fof(f736,plain,(
% 0.11/0.38 ![X0]: (is_transitive_in(empty_set,X0)|~empty(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f308,f146])).
% 0.11/0.38 fof(f739,plain,(
% 0.11/0.38 is_transitive_in(empty_set,empty_set)),
% 0.11/0.38 inference(resolution,[status(thm)],[f736,f91])).
% 0.11/0.38 fof(f740,plain,(
% 0.11/0.38 spl0_36 <=> relation(empty_set)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f742,plain,(
% 0.11/0.38 ~relation(empty_set)|spl0_36),
% 0.11/0.38 inference(component_clause,[status(thm)],[f740])).
% 0.11/0.38 fof(f743,plain,(
% 0.11/0.38 spl0_37 <=> ~in(X0,empty_set)|~in(X1,empty_set)|~in(X2,empty_set)|~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(X0,X2),empty_set)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f746,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~relation(empty_set)|~in(X0,empty_set)|~in(X1,empty_set)|~in(X2,empty_set)|~in(ordered_pair(X0,X1),empty_set)|~in(ordered_pair(X1,X2),empty_set)|in(ordered_pair(X0,X2),empty_set))),
% 0.11/0.38 inference(resolution,[status(thm)],[f739,f63])).
% 0.11/0.38 fof(f747,plain,(
% 0.11/0.38 ~spl0_36|spl0_37),
% 0.11/0.38 inference(split_clause,[status(thm)],[f746,f740,f743])).
% 0.11/0.38 fof(f748,plain,(
% 0.11/0.38 $false|spl0_36),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f742,f302])).
% 0.11/0.38 fof(f749,plain,(
% 0.11/0.38 spl0_36),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f748])).
% 0.11/0.38 fof(f768,plain,(
% 0.11/0.38 ![X0,X1]: (~element(X0,powerset(X1))|~empty(X1)|is_transitive_in(empty_set,X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f141,f309])).
% 0.11/0.38 fof(f800,plain,(
% 0.11/0.38 ![X0,X1]: (~element(X0,powerset(X1))|element(sk0_6(X0),X1)|empty(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f138,f206])).
% 0.11/0.38 fof(f806,plain,(
% 0.11/0.38 ![X0]: (~element(the_InternalRel(sk0_12),powerset(X0))|element(ordered_pair(sk0_13,sk0_14),X0)|~spl0_10)),
% 0.11/0.38 inference(resolution,[status(thm)],[f138,f193])).
% 0.11/0.38 fof(f1017,plain,(
% 0.11/0.38 spl0_38 <=> element(sk0_6(the_InternalRel(sk0_12)),cartesian_product2(the_carrier(sk0_12),the_carrier(sk0_12)))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1020,plain,(
% 0.11/0.38 element(sk0_6(the_InternalRel(sk0_12)),cartesian_product2(the_carrier(sk0_12),the_carrier(sk0_12)))|empty(the_InternalRel(sk0_12))),
% 0.11/0.38 inference(resolution,[status(thm)],[f800,f410])).
% 0.11/0.38 fof(f1021,plain,(
% 0.11/0.38 spl0_38|spl0_20),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1020,f1017,f287])).
% 0.11/0.38 fof(f1023,plain,(
% 0.11/0.38 ![X0]: (element(sk0_6(sk0_8(X0)),X0)|empty(sk0_8(X0))|empty(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f800,f512])).
% 0.11/0.38 fof(f1024,plain,(
% 0.11/0.38 ![X0]: (element(sk0_6(sk0_8(X0)),X0)|empty(X0))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1023,f99])).
% 0.11/0.38 fof(f1039,plain,(
% 0.11/0.38 ![X0]: (empty(powerset(X0))|~empty(X0)|empty(sk0_6(sk0_8(powerset(X0)))))),
% 0.11/0.38 inference(resolution,[status(thm)],[f1024,f347])).
% 0.11/0.38 fof(f1040,plain,(
% 0.11/0.38 ![X0]: (~empty(X0)|empty(sk0_6(sk0_8(powerset(X0)))))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1039,f510])).
% 0.11/0.38 fof(f1065,plain,(
% 0.11/0.38 empty(sk0_6(sk0_8(powerset(empty_set))))),
% 0.11/0.38 inference(resolution,[status(thm)],[f1040,f91])).
% 0.11/0.38 fof(f1070,plain,(
% 0.11/0.38 sk0_6(sk0_8(powerset(empty_set)))=empty_set),
% 0.11/0.38 inference(resolution,[status(thm)],[f1065,f143])).
% 0.11/0.38 fof(f1103,plain,(
% 0.11/0.38 spl0_40 <=> element(empty_set,powerset(empty_set))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1106,plain,(
% 0.11/0.38 element(empty_set,powerset(empty_set))|empty(powerset(empty_set))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f1070,f1024])).
% 0.11/0.38 fof(f1107,plain,(
% 0.11/0.38 spl0_40|spl0_22),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1106,f1103,f374])).
% 0.11/0.38 fof(f1108,plain,(
% 0.11/0.38 spl0_41 <=> empty(sk0_8(powerset(empty_set)))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1109,plain,(
% 0.11/0.38 empty(sk0_8(powerset(empty_set)))|~spl0_41),
% 0.11/0.38 inference(component_clause,[status(thm)],[f1108])).
% 0.11/0.38 fof(f1110,plain,(
% 0.11/0.38 ~empty(sk0_8(powerset(empty_set)))|spl0_41),
% 0.11/0.38 inference(component_clause,[status(thm)],[f1108])).
% 0.11/0.38 fof(f1111,plain,(
% 0.11/0.38 spl0_42 <=> in(empty_set,sk0_8(powerset(empty_set)))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1114,plain,(
% 0.11/0.38 empty(sk0_8(powerset(empty_set)))|in(empty_set,sk0_8(powerset(empty_set)))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f1070,f206])).
% 0.11/0.38 fof(f1115,plain,(
% 0.11/0.38 spl0_41|spl0_42),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1114,f1108,f1111])).
% 0.11/0.38 fof(f1116,plain,(
% 0.11/0.38 spl0_43 <=> in(sk0_8(powerset(empty_set)),empty_set)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1119,plain,(
% 0.11/0.38 empty(sk0_8(powerset(empty_set)))|~in(sk0_8(powerset(empty_set)),empty_set)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f1070,f294])).
% 0.11/0.38 fof(f1120,plain,(
% 0.11/0.38 spl0_41|~spl0_43),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1119,f1108,f1116])).
% 0.11/0.38 fof(f1145,plain,(
% 0.11/0.38 spl0_45 <=> is_transitive_in(empty_set,empty_set)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1148,plain,(
% 0.11/0.38 ![X0]: (~empty(X0)|is_transitive_in(empty_set,empty_set))),
% 0.11/0.38 inference(resolution,[status(thm)],[f768,f301])).
% 0.11/0.38 fof(f1149,plain,(
% 0.11/0.38 spl0_21|spl0_45),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1148,f355,f1145])).
% 0.11/0.38 fof(f1169,plain,(
% 0.11/0.38 spl0_46 <=> is_transitive_in(empty_set,X0)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1170,plain,(
% 0.11/0.38 ![X0]: (is_transitive_in(empty_set,X0)|~spl0_46)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f1169])).
% 0.11/0.38 fof(f1183,plain,(
% 0.11/0.38 ![X0]: (is_transitive_in(empty_set,X0)|~empty(empty_set))),
% 0.11/0.38 inference(resolution,[status(thm)],[f321,f146])).
% 0.11/0.38 fof(f1184,plain,(
% 0.11/0.38 spl0_46|~spl0_13),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1183,f1169,f238])).
% 0.11/0.38 fof(f1255,plain,(
% 0.11/0.38 empty(powerset(empty_set))|~spl0_41),
% 0.11/0.38 inference(resolution,[status(thm)],[f1109,f99])).
% 0.11/0.38 fof(f1256,plain,(
% 0.11/0.38 spl0_22|~spl0_41),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1255,f374,f1108])).
% 0.11/0.38 fof(f1320,plain,(
% 0.11/0.38 spl0_48 <=> is_transitive_in(the_InternalRel(sk0_12),X0)|~element(sk0_2(X0,the_InternalRel(sk0_12)),the_carrier(sk0_12))|~element(sk0_1(X0,the_InternalRel(sk0_12)),the_carrier(sk0_12))|related(sk0_12,sk0_2(X0,the_InternalRel(sk0_12)),sk0_1(X0,the_InternalRel(sk0_12)))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1323,plain,(
% 0.11/0.38 ![X0]: (is_transitive_in(the_InternalRel(sk0_12),X0)|~rel_str(sk0_12)|~element(sk0_2(X0,the_InternalRel(sk0_12)),the_carrier(sk0_12))|~element(sk0_1(X0,the_InternalRel(sk0_12)),the_carrier(sk0_12))|related(sk0_12,sk0_2(X0,the_InternalRel(sk0_12)),sk0_1(X0,the_InternalRel(sk0_12)))|~spl0_16)),
% 0.11/0.38 inference(resolution,[status(thm)],[f433,f73])).
% 0.11/0.38 fof(f1324,plain,(
% 0.11/0.38 spl0_48|~spl0_4|~spl0_16),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1323,f1320,f168,f253])).
% 0.11/0.38 fof(f1350,plain,(
% 0.11/0.38 spl0_51 <=> is_transitive_in(the_InternalRel(sk0_12),X0)|~element(sk0_0(X0,the_InternalRel(sk0_12)),the_carrier(sk0_12))|~element(sk0_2(X0,the_InternalRel(sk0_12)),the_carrier(sk0_12))|related(sk0_12,sk0_0(X0,the_InternalRel(sk0_12)),sk0_2(X0,the_InternalRel(sk0_12)))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1353,plain,(
% 0.11/0.38 ![X0]: (is_transitive_in(the_InternalRel(sk0_12),X0)|~rel_str(sk0_12)|~element(sk0_0(X0,the_InternalRel(sk0_12)),the_carrier(sk0_12))|~element(sk0_2(X0,the_InternalRel(sk0_12)),the_carrier(sk0_12))|related(sk0_12,sk0_0(X0,the_InternalRel(sk0_12)),sk0_2(X0,the_InternalRel(sk0_12)))|~spl0_16)),
% 0.11/0.38 inference(resolution,[status(thm)],[f434,f73])).
% 0.11/0.38 fof(f1354,plain,(
% 0.11/0.38 spl0_51|~spl0_4|~spl0_16),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1353,f1350,f168,f253])).
% 0.11/0.38 fof(f1373,plain,(
% 0.11/0.38 spl0_52 <=> ~in(X0,X1)|~in(X2,X1)|~in(X3,X1)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X3),empty_set)|in(ordered_pair(X0,X3),empty_set)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1376,plain,(
% 0.11/0.38 ![X0,X1,X2,X3]: (~relation(empty_set)|~in(X0,X1)|~in(X2,X1)|~in(X3,X1)|~in(ordered_pair(X0,X2),empty_set)|~in(ordered_pair(X2,X3),empty_set)|in(ordered_pair(X0,X3),empty_set)|~spl0_46)),
% 0.11/0.38 inference(resolution,[status(thm)],[f1170,f63])).
% 0.11/0.38 fof(f1377,plain,(
% 0.11/0.38 ~spl0_36|spl0_52|~spl0_46),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1376,f740,f1373,f1169])).
% 0.11/0.38 fof(f1432,plain,(
% 0.11/0.38 spl0_54 <=> in(ordered_pair(sk0_13,sk0_15),the_InternalRel(sk0_12))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1433,plain,(
% 0.11/0.38 in(ordered_pair(sk0_13,sk0_15),the_InternalRel(sk0_12))|~spl0_54),
% 0.11/0.38 inference(component_clause,[status(thm)],[f1432])).
% 0.11/0.38 fof(f1435,plain,(
% 0.11/0.38 ~in(sk0_15,the_carrier(sk0_12))|in(ordered_pair(sk0_13,sk0_15),the_InternalRel(sk0_12))|~spl0_31|~spl0_8),
% 0.11/0.38 inference(resolution,[status(thm)],[f476,f185])).
% 0.11/0.38 fof(f1436,plain,(
% 0.11/0.38 ~spl0_1|spl0_54|~spl0_31|~spl0_8),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1435,f153,f1432,f475,f184])).
% 0.11/0.38 fof(f1474,plain,(
% 0.11/0.38 spl0_55 <=> empty(X0)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1475,plain,(
% 0.11/0.38 ![X0]: (empty(X0)|~spl0_55)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f1474])).
% 0.11/0.38 fof(f1477,plain,(
% 0.11/0.38 spl0_56 <=> in(sk0_7(X1,X2),powerset(cartesian_product2(X2,X1)))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1480,plain,(
% 0.11/0.38 ![X0,X1,X2]: (empty(X0)|in(sk0_7(X1,X2),powerset(cartesian_product2(X2,X1))))),
% 0.11/0.38 inference(resolution,[status(thm)],[f690,f116])).
% 0.11/0.38 fof(f1481,plain,(
% 0.11/0.38 spl0_55|spl0_56),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1480,f1474,f1477])).
% 0.11/0.38 fof(f1523,plain,(
% 0.11/0.38 spl0_57 <=> in(X1,powerset(X1))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1526,plain,(
% 0.11/0.38 ![X0,X1]: (empty(X0)|in(X1,powerset(X1)))),
% 0.11/0.38 inference(resolution,[status(thm)],[f674,f115])).
% 0.11/0.38 fof(f1527,plain,(
% 0.11/0.38 spl0_55|spl0_57),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1526,f1474,f1523])).
% 0.11/0.38 fof(f1544,plain,(
% 0.11/0.38 spl0_58 <=> in(ordered_pair(X0,empty_set),cartesian_product2(powerset(X0),sk0_8(powerset(empty_set))))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1547,plain,(
% 0.11/0.38 ![X0]: (in(ordered_pair(X0,empty_set),cartesian_product2(powerset(X0),sk0_8(powerset(empty_set))))|empty(sk0_8(powerset(empty_set))))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f1070,f674])).
% 0.11/0.38 fof(f1548,plain,(
% 0.11/0.38 spl0_58|spl0_41),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1547,f1544,f1108])).
% 0.11/0.38 fof(f1549,plain,(
% 0.11/0.38 spl0_59 <=> in(ordered_pair(X0,empty_set),cartesian_product2(powerset(X0),powerset(empty_set)))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1552,plain,(
% 0.11/0.38 ![X0]: (in(ordered_pair(X0,empty_set),cartesian_product2(powerset(X0),powerset(empty_set)))|empty(powerset(empty_set)))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f371,f674])).
% 0.11/0.38 fof(f1553,plain,(
% 0.11/0.38 spl0_59|spl0_22),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1552,f1549,f374])).
% 0.11/0.38 fof(f1554,plain,(
% 0.11/0.38 spl0_60 <=> empty(X1)|in(sk0_8(X1),powerset(X1))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1557,plain,(
% 0.11/0.38 ![X0,X1]: (empty(X0)|empty(X1)|in(sk0_8(X1),powerset(X1)))),
% 0.11/0.38 inference(resolution,[status(thm)],[f694,f116])).
% 0.11/0.38 fof(f1558,plain,(
% 0.11/0.38 spl0_55|spl0_60),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1557,f1474,f1554])).
% 0.11/0.38 fof(f1577,plain,(
% 0.11/0.38 spl0_61 <=> empty(X1)|in(sk0_6(X1),X1)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1580,plain,(
% 0.11/0.38 ![X0,X1]: (empty(X0)|empty(X1)|in(sk0_6(X1),X1))),
% 0.11/0.38 inference(resolution,[status(thm)],[f695,f116])).
% 0.11/0.38 fof(f1581,plain,(
% 0.11/0.38 spl0_55|spl0_61),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1580,f1474,f1577])).
% 0.11/0.38 fof(f1600,plain,(
% 0.11/0.38 spl0_62 <=> in(ordered_pair(sk0_8(X0),empty_set),cartesian_product2(powerset(X0),sk0_8(powerset(empty_set))))|empty(X0)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1603,plain,(
% 0.11/0.38 ![X0]: (in(ordered_pair(sk0_8(X0),empty_set),cartesian_product2(powerset(X0),sk0_8(powerset(empty_set))))|empty(X0)|empty(sk0_8(powerset(empty_set))))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f1070,f695])).
% 0.11/0.38 fof(f1604,plain,(
% 0.11/0.38 spl0_62|spl0_41),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1603,f1600,f1108])).
% 0.11/0.38 fof(f1605,plain,(
% 0.11/0.38 spl0_63 <=> in(ordered_pair(sk0_8(X0),empty_set),cartesian_product2(powerset(X0),powerset(empty_set)))|empty(X0)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1608,plain,(
% 0.11/0.38 ![X0]: (in(ordered_pair(sk0_8(X0),empty_set),cartesian_product2(powerset(X0),powerset(empty_set)))|empty(X0)|empty(powerset(empty_set)))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f371,f695])).
% 0.11/0.38 fof(f1609,plain,(
% 0.11/0.38 spl0_63|spl0_22),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1608,f1605,f374])).
% 0.11/0.38 fof(f1619,plain,(
% 0.11/0.38 ![X0,X1,X2,X3]: (is_transitive_in(cartesian_product2(X0,X1),X2)|~element(X2,powerset(X3))|~empty(X3))),
% 0.11/0.38 inference(resolution,[status(thm)],[f327,f141])).
% 0.11/0.38 fof(f1640,plain,(
% 0.11/0.38 spl0_65 <=> is_transitive_in(cartesian_product2(X0,X1),empty_set)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1643,plain,(
% 0.11/0.38 ![X0,X1,X2]: (is_transitive_in(cartesian_product2(X0,X1),empty_set)|~empty(X2))),
% 0.11/0.38 inference(resolution,[status(thm)],[f1619,f301])).
% 0.11/0.38 fof(f1644,plain,(
% 0.11/0.38 spl0_65|spl0_21),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1643,f1640,f355])).
% 0.11/0.38 fof(f1756,plain,(
% 0.11/0.38 spl0_67 <=> related(sk0_12,sk0_13,sk0_15)),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f1757,plain,(
% 0.11/0.38 related(sk0_12,sk0_13,sk0_15)|~spl0_67),
% 0.11/0.38 inference(component_clause,[status(thm)],[f1756])).
% 0.11/0.38 fof(f1759,plain,(
% 0.11/0.38 ~rel_str(sk0_12)|~element(sk0_13,the_carrier(sk0_12))|~element(sk0_15,the_carrier(sk0_12))|related(sk0_12,sk0_13,sk0_15)|~spl0_54),
% 0.11/0.38 inference(resolution,[status(thm)],[f1433,f73])).
% 0.11/0.38 fof(f1760,plain,(
% 0.11/0.38 ~spl0_4|~spl0_9|~spl0_7|spl0_67|~spl0_54),
% 0.11/0.38 inference(split_clause,[status(thm)],[f1759,f168,f189,f181,f1756,f1432])).
% 0.11/0.38 fof(f1775,plain,(
% 0.11/0.38 $false|~spl0_67),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1757,f129])).
% 0.11/0.38 fof(f1776,plain,(
% 0.11/0.38 ~spl0_67),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f1775])).
% 0.11/0.38 fof(f1790,plain,(
% 0.11/0.38 ~empty(empty_set)|~spl0_15),
% 0.11/0.38 inference(resolution,[status(thm)],[f247,f146])).
% 0.11/0.38 fof(f1791,plain,(
% 0.11/0.38 $false|~spl0_15),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1790,f91])).
% 0.11/0.38 fof(f1792,plain,(
% 0.11/0.38 ~spl0_15),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f1791])).
% 0.11/0.38 fof(f1805,plain,(
% 0.11/0.38 ~empty(empty_set)|~spl0_14),
% 0.11/0.38 inference(resolution,[status(thm)],[f242,f146])).
% 0.11/0.38 fof(f1806,plain,(
% 0.11/0.38 $false|~spl0_14),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1805,f91])).
% 0.11/0.38 fof(f1807,plain,(
% 0.11/0.38 ~spl0_14),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f1806])).
% 0.11/0.38 fof(f1824,plain,(
% 0.11/0.38 $false|~spl0_55|spl0_41),
% 0.11/0.38 inference(backward_subsumption_resolution,[status(thm)],[f1110,f1475])).
% 0.11/0.38 fof(f1825,plain,(
% 0.11/0.38 ~spl0_55|spl0_41),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f1824])).
% 0.11/0.38 fof(f1881,plain,(
% 0.11/0.38 element(ordered_pair(sk0_13,sk0_14),cartesian_product2(empty_set,empty_set))|~spl0_0|~spl0_10),
% 0.11/0.38 inference(resolution,[status(thm)],[f577,f806])).
% 0.11/0.38 fof(f2176,plain,(
% 0.11/0.38 spl0_80 <=> in(ordered_pair(ordered_pair(sk0_14,sk0_15),empty_set),cartesian_product2(the_InternalRel(sk0_12),sk0_8(powerset(empty_set))))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f2179,plain,(
% 0.11/0.38 in(ordered_pair(ordered_pair(sk0_14,sk0_15),empty_set),cartesian_product2(the_InternalRel(sk0_12),sk0_8(powerset(empty_set))))|empty(sk0_8(powerset(empty_set)))|~spl0_8),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f1070,f630])).
% 0.11/0.38 fof(f2180,plain,(
% 0.11/0.38 spl0_80|spl0_41|~spl0_8),
% 0.11/0.38 inference(split_clause,[status(thm)],[f2179,f2176,f1108,f184])).
% 0.11/0.38 fof(f2181,plain,(
% 0.11/0.38 spl0_81 <=> in(ordered_pair(ordered_pair(sk0_14,sk0_15),empty_set),cartesian_product2(the_InternalRel(sk0_12),powerset(empty_set)))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f2184,plain,(
% 0.11/0.38 in(ordered_pair(ordered_pair(sk0_14,sk0_15),empty_set),cartesian_product2(the_InternalRel(sk0_12),powerset(empty_set)))|empty(powerset(empty_set))|~spl0_8),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f371,f630])).
% 0.11/0.38 fof(f2185,plain,(
% 0.11/0.38 spl0_81|spl0_22|~spl0_8),
% 0.11/0.38 inference(split_clause,[status(thm)],[f2184,f2181,f374,f184])).
% 0.11/0.38 fof(f2380,plain,(
% 0.11/0.38 spl0_83 <=> in(ordered_pair(sk0_13,sk0_14),cartesian_product2(empty_set,empty_set))),
% 0.11/0.38 introduced(split_symbol_definition)).
% 0.11/0.38 fof(f2381,plain,(
% 0.11/0.38 in(ordered_pair(sk0_13,sk0_14),cartesian_product2(empty_set,empty_set))|~spl0_83),
% 0.11/0.38 inference(component_clause,[status(thm)],[f2380])).
% 0.11/0.38 fof(f2383,plain,(
% 0.11/0.38 empty(cartesian_product2(empty_set,empty_set))|in(ordered_pair(sk0_13,sk0_14),cartesian_product2(empty_set,empty_set))|~spl0_0|~spl0_10),
% 0.11/0.38 inference(resolution,[status(thm)],[f1881,f131])).
% 0.11/0.38 fof(f2384,plain,(
% 0.11/0.38 spl0_33|spl0_83|~spl0_0|~spl0_10),
% 0.11/0.38 inference(split_clause,[status(thm)],[f2383,f588,f2380,f150,f192])).
% 0.11/0.38 fof(f2428,plain,(
% 0.11/0.38 in(sk0_13,empty_set)|~spl0_83),
% 0.11/0.38 inference(resolution,[status(thm)],[f2381,f115])).
% 0.11/0.38 fof(f2429,plain,(
% 0.11/0.38 spl0_32|~spl0_83),
% 0.11/0.38 inference(split_clause,[status(thm)],[f2428,f489,f2380])).
% 0.11/0.38 fof(f2440,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(sat_refutation,[status(thm)],[f157,f162,f167,f175,f177,f188,f196,f198,f200,f202,f252,f260,f277,f284,f359,f381,f386,f389,f416,f421,f430,f432,f447,f455,f466,f479,f576,f592,f603,f605,f747,f749,f1021,f1107,f1115,f1120,f1149,f1184,f1256,f1324,f1354,f1377,f1436,f1481,f1527,f1548,f1553,f1558,f1581,f1604,f1609,f1644,f1760,f1776,f1792,f1807,f1825,f2180,f2185,f2384,f2429])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.39 % Elapsed time: 0.124995 seconds
% 0.11/0.39 % CPU time: 0.883423 seconds
% 0.11/0.39 % Total memory used: 75.249 MB
% 0.11/0.39 % Net memory used: 74.508 MB
%------------------------------------------------------------------------------