TSTP Solution File: SEU291+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU291+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:36:35 EDT 2023
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU291+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 09:12:42 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.48 fof(f1,axiom,(
% 0.19/0.48 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f2,axiom,(
% 0.19/0.48 (! [A] :( empty(A)=> function(A) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f3,axiom,(
% 0.19/0.48 (! [A] :( empty(A)=> relation(A) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f4,axiom,(
% 0.19/0.48 (! [A,B,C] :( element(C,powerset(cartesian_product2(A,B)))=> relation(C) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f5,axiom,(
% 0.19/0.48 (! [A] :( ( relation(A)& empty(A)& function(A) )=> ( relation(A)& function(A)& one_to_one(A) ) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f6,axiom,(
% 0.19/0.48 (! [A,B,C] :( relation_of2_as_subset(C,A,B)=> ( ( ( B = empty_set=> A = empty_set )=> ( quasi_total(C,A,B)<=> A = relation_dom_as_subset(A,B,C) ) )& ( B = empty_set=> ( A = empty_set| ( quasi_total(C,A,B)<=> C = empty_set ) ) ) ) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f11,axiom,(
% 0.19/0.48 (! [A,B,C] :( relation_of2(C,A,B)=> element(relation_dom_as_subset(A,B,C),powerset(A)) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f14,axiom,(
% 0.19/0.48 (! [A,B,C] :( relation_of2_as_subset(C,A,B)=> element(C,powerset(cartesian_product2(A,B))) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f16,axiom,(
% 0.19/0.48 (! [A] :(? [B] : element(B,A) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f18,axiom,(
% 0.19/0.48 ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f19,axiom,(
% 0.19/0.48 (! [A] : ~ empty(powerset(A)) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f23,axiom,(
% 0.19/0.48 (! [A] :( ( ~ empty(A)& relation(A) )=> ~ empty(relation_dom(A)) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f24,axiom,(
% 0.19/0.48 (! [A] :( empty(A)=> ( empty(relation_dom(A))& relation(relation_dom(A)) ) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f26,axiom,(
% 0.19/0.48 (! [A,B] :(? [C] :( relation_of2(C,A,B)& relation(C)& function(C)& quasi_total(C,A,B) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f39,axiom,(
% 0.19/0.48 (! [A,B,C] :( relation_of2(C,A,B)=> relation_dom_as_subset(A,B,C) = relation_dom(C) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f40,axiom,(
% 0.19/0.48 (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f42,axiom,(
% 0.19/0.48 (! [A,B,C,D] :( relation_of2_as_subset(D,C,A)=> ( subset(A,B)=> relation_of2_as_subset(D,C,B) ) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f44,axiom,(
% 0.19/0.48 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f45,axiom,(
% 0.19/0.48 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f46,axiom,(
% 0.19/0.48 (! [A] :( subset(A,empty_set)=> A = empty_set ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f47,axiom,(
% 0.19/0.48 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f49,axiom,(
% 0.19/0.48 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f50,axiom,(
% 0.19/0.48 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f51,axiom,(
% 0.19/0.48 (! [A,B] :~ ( empty(A)& A != B& empty(B) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f52,conjecture,(
% 0.19/0.48 (! [A,B,C,D] :( ( function(D)& quasi_total(D,A,B)& relation_of2_as_subset(D,A,B) )=> ( subset(B,C)=> ( ( B = empty_set& A != empty_set )| ( function(D)& quasi_total(D,A,C)& relation_of2_as_subset(D,A,C) ) ) ) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f53,negated_conjecture,(
% 0.19/0.48 ~((! [A,B,C,D] :( ( function(D)& quasi_total(D,A,B)& relation_of2_as_subset(D,A,B) )=> ( subset(B,C)=> ( ( B = empty_set& A != empty_set )| ( function(D)& quasi_total(D,A,C)& relation_of2_as_subset(D,A,C) ) ) ) ) ))),
% 0.19/0.48 inference(negated_conjecture,[status(cth)],[f52])).
% 0.19/0.48 fof(f54,plain,(
% 0.19/0.48 ![A,B]: (~in(A,B)|~in(B,A))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.19/0.48 fof(f55,plain,(
% 0.19/0.48 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f54])).
% 0.19/0.48 fof(f56,plain,(
% 0.19/0.48 ![A]: (~empty(A)|function(A))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.19/0.48 fof(f57,plain,(
% 0.19/0.48 ![X0]: (~empty(X0)|function(X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f56])).
% 0.19/0.48 fof(f58,plain,(
% 0.19/0.48 ![A]: (~empty(A)|relation(A))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.19/0.48 fof(f59,plain,(
% 0.19/0.48 ![X0]: (~empty(X0)|relation(X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f58])).
% 0.19/0.48 fof(f60,plain,(
% 0.19/0.48 ![A,B,C]: (~element(C,powerset(cartesian_product2(A,B)))|relation(C))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.19/0.48 fof(f61,plain,(
% 0.19/0.48 ![C]: ((![A,B]: ~element(C,powerset(cartesian_product2(A,B))))|relation(C))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f60])).
% 0.19/0.48 fof(f62,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~element(X0,powerset(cartesian_product2(X1,X2)))|relation(X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f61])).
% 0.19/0.48 fof(f63,plain,(
% 0.19/0.48 ![A]: (((~relation(A)|~empty(A))|~function(A))|((relation(A)&function(A))&one_to_one(A)))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.19/0.48 fof(f66,plain,(
% 0.19/0.48 ![X0]: (~relation(X0)|~empty(X0)|~function(X0)|one_to_one(X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f63])).
% 0.19/0.48 fof(f67,plain,(
% 0.19/0.48 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|(((B=empty_set&~A=empty_set)|(quasi_total(C,A,B)<=>A=relation_dom_as_subset(A,B,C)))&(~B=empty_set|(A=empty_set|(quasi_total(C,A,B)<=>C=empty_set)))))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.19/0.48 fof(f68,plain,(
% 0.19/0.48 ![A,B]: (pd0_0(B,A)=>(B=empty_set&~A=empty_set))),
% 0.19/0.48 introduced(predicate_definition,[f67])).
% 0.19/0.48 fof(f69,plain,(
% 0.19/0.48 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|((pd0_0(B,A)|(quasi_total(C,A,B)<=>A=relation_dom_as_subset(A,B,C)))&(~B=empty_set|(A=empty_set|(quasi_total(C,A,B)<=>C=empty_set)))))),
% 0.19/0.48 inference(formula_renaming,[status(thm)],[f67,f68])).
% 0.19/0.48 fof(f70,plain,(
% 0.19/0.48 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|((pd0_0(B,A)|((~quasi_total(C,A,B)|A=relation_dom_as_subset(A,B,C))&(quasi_total(C,A,B)|~A=relation_dom_as_subset(A,B,C))))&(~B=empty_set|(A=empty_set|((~quasi_total(C,A,B)|C=empty_set)&(quasi_total(C,A,B)|~C=empty_set))))))),
% 0.19/0.48 inference(NNF_transformation,[status(esa)],[f69])).
% 0.19/0.48 fof(f71,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|pd0_0(X2,X1)|~quasi_total(X0,X1,X2)|X1=relation_dom_as_subset(X1,X2,X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f70])).
% 0.19/0.48 fof(f72,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|pd0_0(X2,X1)|quasi_total(X0,X1,X2)|~X1=relation_dom_as_subset(X1,X2,X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f70])).
% 0.19/0.48 fof(f73,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|~X2=empty_set|X1=empty_set|~quasi_total(X0,X1,X2)|X0=empty_set)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f70])).
% 0.19/0.48 fof(f75,plain,(
% 0.19/0.48 ![A,B,C]: (~relation_of2(C,A,B)|element(relation_dom_as_subset(A,B,C),powerset(A)))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.19/0.48 fof(f76,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~relation_of2(X0,X1,X2)|element(relation_dom_as_subset(X1,X2,X0),powerset(X1)))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f75])).
% 0.19/0.48 fof(f77,plain,(
% 0.19/0.48 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.19/0.48 fof(f78,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|element(X0,powerset(cartesian_product2(X1,X2))))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f77])).
% 0.19/0.48 fof(f81,plain,(
% 0.19/0.48 ![A]: element(sk0_1(A),A)),
% 0.19/0.48 inference(skolemization,[status(esa)],[f16])).
% 0.19/0.48 fof(f82,plain,(
% 0.19/0.48 ![X0]: (element(sk0_1(X0),X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f81])).
% 0.19/0.48 fof(f85,plain,(
% 0.19/0.48 empty(empty_set)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.48 fof(f88,plain,(
% 0.19/0.48 ![X0]: (~empty(powerset(X0)))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f19])).
% 0.19/0.48 fof(f94,plain,(
% 0.19/0.48 ![A]: ((empty(A)|~relation(A))|~empty(relation_dom(A)))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.19/0.48 fof(f95,plain,(
% 0.19/0.48 ![X0]: (empty(X0)|~relation(X0)|~empty(relation_dom(X0)))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f94])).
% 0.19/0.48 fof(f96,plain,(
% 0.19/0.48 ![A]: (~empty(A)|(empty(relation_dom(A))&relation(relation_dom(A))))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.19/0.48 fof(f97,plain,(
% 0.19/0.48 ![X0]: (~empty(X0)|empty(relation_dom(X0)))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f96])).
% 0.19/0.48 fof(f102,plain,(
% 0.19/0.48 ![A,B]: (((relation_of2(sk0_4(B,A),A,B)&relation(sk0_4(B,A)))&function(sk0_4(B,A)))&quasi_total(sk0_4(B,A),A,B))),
% 0.19/0.48 inference(skolemization,[status(esa)],[f26])).
% 0.19/0.48 fof(f103,plain,(
% 0.19/0.48 ![X0,X1]: (relation_of2(sk0_4(X0,X1),X1,X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f102])).
% 0.19/0.48 fof(f105,plain,(
% 0.19/0.48 ![X0,X1]: (function(sk0_4(X0,X1)))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f102])).
% 0.19/0.48 fof(f106,plain,(
% 0.19/0.48 ![X0,X1]: (quasi_total(sk0_4(X0,X1),X1,X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f102])).
% 0.19/0.48 fof(f148,plain,(
% 0.19/0.48 ![A,B,C]: (~relation_of2(C,A,B)|relation_dom_as_subset(A,B,C)=relation_dom(C))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 0.19/0.48 fof(f149,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~relation_of2(X0,X1,X2)|relation_dom_as_subset(X1,X2,X0)=relation_dom(X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f148])).
% 0.19/0.48 fof(f150,plain,(
% 0.19/0.48 ![A,B,C]: ((~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B))&(relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 0.19/0.48 inference(NNF_transformation,[status(esa)],[f40])).
% 0.19/0.48 fof(f151,plain,(
% 0.19/0.48 (![A,B,C]: (~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B)))&(![A,B,C]: (relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f150])).
% 0.19/0.48 fof(f152,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f151])).
% 0.19/0.48 fof(f153,plain,(
% 0.19/0.48 ![X0,X1,X2]: (relation_of2_as_subset(X0,X1,X2)|~relation_of2(X0,X1,X2))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f151])).
% 0.19/0.48 fof(f156,plain,(
% 0.19/0.48 ![A,B,C,D]: (~relation_of2_as_subset(D,C,A)|(~subset(A,B)|relation_of2_as_subset(D,C,B)))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.19/0.48 fof(f157,plain,(
% 0.19/0.48 ![A,C,D]: (~relation_of2_as_subset(D,C,A)|(![B]: (~subset(A,B)|relation_of2_as_subset(D,C,B))))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f156])).
% 0.19/0.48 fof(f158,plain,(
% 0.19/0.48 ![X0,X1,X2,X3]: (~relation_of2_as_subset(X0,X1,X2)|~subset(X2,X3)|relation_of2_as_subset(X0,X1,X3))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f157])).
% 0.19/0.48 fof(f161,plain,(
% 0.19/0.48 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.19/0.48 fof(f162,plain,(
% 0.19/0.48 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f161])).
% 0.19/0.48 fof(f163,plain,(
% 0.19/0.48 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.19/0.48 inference(NNF_transformation,[status(esa)],[f45])).
% 0.19/0.48 fof(f164,plain,(
% 0.19/0.48 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f163])).
% 0.19/0.48 fof(f165,plain,(
% 0.19/0.48 ![X0,X1]: (~element(X0,powerset(X1))|subset(X0,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f164])).
% 0.19/0.48 fof(f166,plain,(
% 0.19/0.48 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f164])).
% 0.19/0.48 fof(f167,plain,(
% 0.19/0.48 ![A]: (~subset(A,empty_set)|A=empty_set)),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 0.19/0.48 fof(f168,plain,(
% 0.19/0.48 ![X0]: (~subset(X0,empty_set)|X0=empty_set)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f167])).
% 0.19/0.48 fof(f169,plain,(
% 0.19/0.48 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.19/0.48 fof(f170,plain,(
% 0.19/0.48 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f169])).
% 0.19/0.48 fof(f171,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f170])).
% 0.19/0.48 fof(f175,plain,(
% 0.19/0.48 ![A]: (~empty(A)|A=empty_set)),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 0.19/0.48 fof(f176,plain,(
% 0.19/0.48 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f175])).
% 0.19/0.48 fof(f177,plain,(
% 0.19/0.48 ![A,B]: (~in(A,B)|~empty(B))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 0.19/0.48 fof(f178,plain,(
% 0.19/0.48 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f177])).
% 0.19/0.48 fof(f179,plain,(
% 0.19/0.48 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f178])).
% 0.19/0.48 fof(f180,plain,(
% 0.19/0.48 ![A,B]: ((~empty(A)|A=B)|~empty(B))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 0.19/0.48 fof(f181,plain,(
% 0.19/0.48 ![B]: ((![A]: (~empty(A)|A=B))|~empty(B))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f180])).
% 0.19/0.48 fof(f182,plain,(
% 0.19/0.48 ![X0,X1]: (~empty(X0)|X0=X1|~empty(X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f181])).
% 0.19/0.48 fof(f183,plain,(
% 0.19/0.48 (?[A,B,C,D]: (((function(D)&quasi_total(D,A,B))&relation_of2_as_subset(D,A,B))&(subset(B,C)&((~B=empty_set|A=empty_set)&((~function(D)|~quasi_total(D,A,C))|~relation_of2_as_subset(D,A,C))))))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 0.19/0.48 fof(f184,plain,(
% 0.19/0.48 ?[A,B,D]: (((function(D)&quasi_total(D,A,B))&relation_of2_as_subset(D,A,B))&(?[C]: (subset(B,C)&((~B=empty_set|A=empty_set)&((~function(D)|~quasi_total(D,A,C))|~relation_of2_as_subset(D,A,C))))))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f183])).
% 0.19/0.48 fof(f185,plain,(
% 0.19/0.48 (((function(sk0_19)&quasi_total(sk0_19,sk0_17,sk0_18))&relation_of2_as_subset(sk0_19,sk0_17,sk0_18))&(subset(sk0_18,sk0_20)&((~sk0_18=empty_set|sk0_17=empty_set)&((~function(sk0_19)|~quasi_total(sk0_19,sk0_17,sk0_20))|~relation_of2_as_subset(sk0_19,sk0_17,sk0_20)))))),
% 0.19/0.48 inference(skolemization,[status(esa)],[f184])).
% 0.19/0.48 fof(f186,plain,(
% 0.19/0.48 function(sk0_19)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f185])).
% 0.19/0.48 fof(f187,plain,(
% 0.19/0.48 quasi_total(sk0_19,sk0_17,sk0_18)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f185])).
% 0.19/0.48 fof(f188,plain,(
% 0.19/0.48 relation_of2_as_subset(sk0_19,sk0_17,sk0_18)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f185])).
% 0.19/0.48 fof(f189,plain,(
% 0.19/0.48 subset(sk0_18,sk0_20)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f185])).
% 0.19/0.48 fof(f190,plain,(
% 0.19/0.48 ~sk0_18=empty_set|sk0_17=empty_set),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f185])).
% 0.19/0.48 fof(f191,plain,(
% 0.19/0.48 ~function(sk0_19)|~quasi_total(sk0_19,sk0_17,sk0_20)|~relation_of2_as_subset(sk0_19,sk0_17,sk0_20)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f185])).
% 0.19/0.48 fof(f192,plain,(
% 0.19/0.48 ![A,B]: (~pd0_0(B,A)|(B=empty_set&~A=empty_set))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 0.19/0.48 fof(f193,plain,(
% 0.19/0.48 ![X0,X1]: (~pd0_0(X0,X1)|X0=empty_set)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f192])).
% 0.19/0.48 fof(f194,plain,(
% 0.19/0.48 ![X0,X1]: (~pd0_0(X0,X1)|~X1=empty_set)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f192])).
% 0.19/0.48 fof(f195,plain,(
% 0.19/0.48 spl0_0 <=> sk0_18=empty_set),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f196,plain,(
% 0.19/0.48 sk0_18=empty_set|~spl0_0),
% 0.19/0.48 inference(component_clause,[status(thm)],[f195])).
% 0.19/0.48 fof(f197,plain,(
% 0.19/0.48 ~sk0_18=empty_set|spl0_0),
% 0.19/0.48 inference(component_clause,[status(thm)],[f195])).
% 0.19/0.48 fof(f198,plain,(
% 0.19/0.48 spl0_1 <=> sk0_17=empty_set),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f199,plain,(
% 0.19/0.48 sk0_17=empty_set|~spl0_1),
% 0.19/0.48 inference(component_clause,[status(thm)],[f198])).
% 0.19/0.48 fof(f201,plain,(
% 0.19/0.48 ~spl0_0|spl0_1),
% 0.19/0.48 inference(split_clause,[status(thm)],[f190,f195,f198])).
% 0.19/0.48 fof(f202,plain,(
% 0.19/0.48 spl0_2 <=> function(sk0_19)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f204,plain,(
% 0.19/0.48 ~function(sk0_19)|spl0_2),
% 0.19/0.48 inference(component_clause,[status(thm)],[f202])).
% 0.19/0.48 fof(f205,plain,(
% 0.19/0.48 spl0_3 <=> quasi_total(sk0_19,sk0_17,sk0_20)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f208,plain,(
% 0.19/0.48 spl0_4 <=> relation_of2_as_subset(sk0_19,sk0_17,sk0_20)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f209,plain,(
% 0.19/0.48 relation_of2_as_subset(sk0_19,sk0_17,sk0_20)|~spl0_4),
% 0.19/0.48 inference(component_clause,[status(thm)],[f208])).
% 0.19/0.48 fof(f210,plain,(
% 0.19/0.48 ~relation_of2_as_subset(sk0_19,sk0_17,sk0_20)|spl0_4),
% 0.19/0.48 inference(component_clause,[status(thm)],[f208])).
% 0.19/0.48 fof(f211,plain,(
% 0.19/0.48 ~spl0_2|~spl0_3|~spl0_4),
% 0.19/0.48 inference(split_clause,[status(thm)],[f191,f202,f205,f208])).
% 0.19/0.48 fof(f212,plain,(
% 0.19/0.48 ![X0,X1]: (~relation_of2_as_subset(X0,X1,empty_set)|X1=empty_set|~quasi_total(X0,X1,empty_set)|X0=empty_set)),
% 0.19/0.48 inference(destructive_equality_resolution,[status(esa)],[f73])).
% 0.19/0.48 fof(f214,plain,(
% 0.19/0.48 ![X0]: (~pd0_0(X0,empty_set))),
% 0.19/0.48 inference(destructive_equality_resolution,[status(esa)],[f194])).
% 0.19/0.48 fof(f215,plain,(
% 0.19/0.48 function(empty_set)),
% 0.19/0.48 inference(resolution,[status(thm)],[f57,f85])).
% 0.19/0.48 fof(f216,plain,(
% 0.19/0.48 element(sk0_18,powerset(sk0_20))),
% 0.19/0.48 inference(resolution,[status(thm)],[f166,f189])).
% 0.19/0.48 fof(f238,plain,(
% 0.19/0.48 ![X0,X1]: (~relation_of2_as_subset(X0,X1,sk0_18)|relation_of2_as_subset(X0,X1,sk0_20))),
% 0.19/0.48 inference(resolution,[status(thm)],[f158,f189])).
% 0.19/0.48 fof(f239,plain,(
% 0.19/0.48 relation_of2_as_subset(sk0_19,sk0_17,sk0_20)),
% 0.19/0.48 inference(resolution,[status(thm)],[f238,f188])).
% 0.19/0.48 fof(f240,plain,(
% 0.19/0.48 $false|spl0_4),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f239,f210])).
% 0.19/0.48 fof(f241,plain,(
% 0.19/0.48 spl0_4),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f240])).
% 0.19/0.48 fof(f242,plain,(
% 0.19/0.48 $false|spl0_2),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f204,f186])).
% 0.19/0.48 fof(f243,plain,(
% 0.19/0.48 spl0_2),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f242])).
% 0.19/0.48 fof(f259,plain,(
% 0.19/0.48 ![X0]: (~empty(X0)|~function(X0)|one_to_one(X0))),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f66,f59])).
% 0.19/0.48 fof(f284,plain,(
% 0.19/0.48 spl0_11 <=> empty(empty_set)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f286,plain,(
% 0.19/0.48 ~empty(empty_set)|spl0_11),
% 0.19/0.48 inference(component_clause,[status(thm)],[f284])).
% 0.19/0.48 fof(f287,plain,(
% 0.19/0.48 spl0_12 <=> one_to_one(empty_set)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f290,plain,(
% 0.19/0.48 ~empty(empty_set)|one_to_one(empty_set)),
% 0.19/0.48 inference(resolution,[status(thm)],[f259,f215])).
% 0.19/0.48 fof(f291,plain,(
% 0.19/0.48 ~spl0_11|spl0_12),
% 0.19/0.48 inference(split_clause,[status(thm)],[f290,f284,f287])).
% 0.19/0.48 fof(f292,plain,(
% 0.19/0.48 spl0_13 <=> empty(sk0_19)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f293,plain,(
% 0.19/0.48 empty(sk0_19)|~spl0_13),
% 0.19/0.48 inference(component_clause,[status(thm)],[f292])).
% 0.19/0.48 fof(f300,plain,(
% 0.19/0.48 $false|spl0_11),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f286,f85])).
% 0.19/0.48 fof(f301,plain,(
% 0.19/0.48 spl0_11),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f300])).
% 0.19/0.48 fof(f304,plain,(
% 0.19/0.48 ![X0]: (subset(sk0_1(powerset(X0)),X0))),
% 0.19/0.48 inference(resolution,[status(thm)],[f82,f165])).
% 0.19/0.48 fof(f305,plain,(
% 0.19/0.48 sk0_1(powerset(empty_set))=empty_set),
% 0.19/0.48 inference(resolution,[status(thm)],[f304,f168])).
% 0.19/0.48 fof(f310,plain,(
% 0.19/0.48 spl0_15 <=> relation_of2_as_subset(sk0_19,sk0_17,sk0_18)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f312,plain,(
% 0.19/0.48 ~relation_of2_as_subset(sk0_19,sk0_17,sk0_18)|spl0_15),
% 0.19/0.48 inference(component_clause,[status(thm)],[f310])).
% 0.19/0.48 fof(f313,plain,(
% 0.19/0.48 spl0_16 <=> pd0_0(sk0_18,sk0_17)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f314,plain,(
% 0.19/0.48 pd0_0(sk0_18,sk0_17)|~spl0_16),
% 0.19/0.48 inference(component_clause,[status(thm)],[f313])).
% 0.19/0.48 fof(f316,plain,(
% 0.19/0.48 spl0_17 <=> sk0_17=relation_dom_as_subset(sk0_17,sk0_18,sk0_19)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f317,plain,(
% 0.19/0.48 sk0_17=relation_dom_as_subset(sk0_17,sk0_18,sk0_19)|~spl0_17),
% 0.19/0.48 inference(component_clause,[status(thm)],[f316])).
% 0.19/0.48 fof(f319,plain,(
% 0.19/0.48 ~relation_of2_as_subset(sk0_19,sk0_17,sk0_18)|pd0_0(sk0_18,sk0_17)|sk0_17=relation_dom_as_subset(sk0_17,sk0_18,sk0_19)),
% 0.19/0.48 inference(resolution,[status(thm)],[f71,f187])).
% 0.19/0.48 fof(f320,plain,(
% 0.19/0.48 ~spl0_15|spl0_16|spl0_17),
% 0.19/0.48 inference(split_clause,[status(thm)],[f319,f310,f313,f316])).
% 0.19/0.48 fof(f321,plain,(
% 0.19/0.48 $false|spl0_15),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f312,f188])).
% 0.19/0.48 fof(f322,plain,(
% 0.19/0.48 spl0_15),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f321])).
% 0.19/0.48 fof(f323,plain,(
% 0.19/0.48 ![X0,X1]: (~empty(sk0_4(X0,X1))|one_to_one(sk0_4(X0,X1)))),
% 0.19/0.48 inference(resolution,[status(thm)],[f105,f259])).
% 0.19/0.48 fof(f325,plain,(
% 0.19/0.48 ![X0]: (~in(X0,empty_set))),
% 0.19/0.48 inference(resolution,[status(thm)],[f179,f85])).
% 0.19/0.48 fof(f335,plain,(
% 0.19/0.48 empty(relation_dom(empty_set))),
% 0.19/0.48 inference(resolution,[status(thm)],[f97,f85])).
% 0.19/0.48 fof(f339,plain,(
% 0.19/0.48 relation_dom(empty_set)=empty_set),
% 0.19/0.48 inference(resolution,[status(thm)],[f335,f176])).
% 0.19/0.48 fof(f347,plain,(
% 0.19/0.48 ![X0]: (~relation_of2_as_subset(sk0_4(empty_set,X0),X0,empty_set)|X0=empty_set|sk0_4(empty_set,X0)=empty_set)),
% 0.19/0.48 inference(resolution,[status(thm)],[f106,f212])).
% 0.19/0.48 fof(f362,plain,(
% 0.19/0.48 element(sk0_19,powerset(cartesian_product2(sk0_17,sk0_20)))|~spl0_4),
% 0.19/0.48 inference(resolution,[status(thm)],[f78,f209])).
% 0.19/0.48 fof(f363,plain,(
% 0.19/0.48 element(sk0_19,powerset(cartesian_product2(sk0_17,sk0_18)))),
% 0.19/0.48 inference(resolution,[status(thm)],[f78,f188])).
% 0.19/0.48 fof(f364,plain,(
% 0.19/0.48 sk0_18=empty_set|~spl0_16),
% 0.19/0.48 inference(resolution,[status(thm)],[f314,f193])).
% 0.19/0.48 fof(f365,plain,(
% 0.19/0.48 $false|spl0_0|~spl0_16),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f364,f197])).
% 0.19/0.48 fof(f366,plain,(
% 0.19/0.48 spl0_0|~spl0_16),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f365])).
% 0.19/0.48 fof(f390,plain,(
% 0.19/0.48 spl0_21 <=> pd0_0(empty_set,empty_set)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f391,plain,(
% 0.19/0.48 pd0_0(empty_set,empty_set)|~spl0_21),
% 0.19/0.48 inference(component_clause,[status(thm)],[f390])).
% 0.19/0.48 fof(f400,plain,(
% 0.19/0.48 $false|~spl0_21),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f391,f214])).
% 0.19/0.48 fof(f401,plain,(
% 0.19/0.48 ~spl0_21),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f400])).
% 0.19/0.48 fof(f407,plain,(
% 0.19/0.48 spl0_24 <=> pd0_0(sk0_18,empty_set)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f408,plain,(
% 0.19/0.48 pd0_0(sk0_18,empty_set)|~spl0_24),
% 0.19/0.48 inference(component_clause,[status(thm)],[f407])).
% 0.19/0.48 fof(f428,plain,(
% 0.19/0.48 $false|~spl0_24),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f408,f214])).
% 0.19/0.48 fof(f429,plain,(
% 0.19/0.48 ~spl0_24),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f428])).
% 0.19/0.48 fof(f437,plain,(
% 0.19/0.48 pd0_0(empty_set,sk0_17)|~spl0_0|~spl0_16),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f196,f314])).
% 0.19/0.48 fof(f438,plain,(
% 0.19/0.48 pd0_0(empty_set,empty_set)|~spl0_1|~spl0_0|~spl0_16),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f199,f437])).
% 0.19/0.48 fof(f439,plain,(
% 0.19/0.48 $false|~spl0_1|~spl0_0|~spl0_16),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f438,f214])).
% 0.19/0.48 fof(f440,plain,(
% 0.19/0.48 ~spl0_1|~spl0_0|~spl0_16),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f439])).
% 0.19/0.48 fof(f448,plain,(
% 0.19/0.48 relation(sk0_19)|~spl0_4),
% 0.19/0.48 inference(resolution,[status(thm)],[f362,f62])).
% 0.19/0.48 fof(f481,plain,(
% 0.19/0.48 relation_of2(sk0_19,sk0_17,sk0_18)),
% 0.19/0.48 inference(resolution,[status(thm)],[f152,f188])).
% 0.19/0.48 fof(f482,plain,(
% 0.19/0.48 relation_of2(sk0_19,sk0_17,sk0_20)|~spl0_4),
% 0.19/0.48 inference(resolution,[status(thm)],[f152,f209])).
% 0.19/0.48 fof(f496,plain,(
% 0.19/0.48 ![X0,X1]: (relation_of2_as_subset(sk0_4(X0,X1),X1,X0))),
% 0.19/0.48 inference(resolution,[status(thm)],[f153,f103])).
% 0.19/0.48 fof(f504,plain,(
% 0.19/0.48 ![X0]: (X0=empty_set|sk0_4(empty_set,X0)=empty_set)),
% 0.19/0.48 inference(backward_subsumption_resolution,[status(thm)],[f347,f496])).
% 0.19/0.48 fof(f549,plain,(
% 0.19/0.48 element(relation_dom_as_subset(sk0_17,sk0_20,sk0_19),powerset(sk0_17))|~spl0_4),
% 0.19/0.48 inference(resolution,[status(thm)],[f482,f76])).
% 0.19/0.48 fof(f693,plain,(
% 0.19/0.48 spl0_33 <=> empty(powerset(sk0_17))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f694,plain,(
% 0.19/0.48 empty(powerset(sk0_17))|~spl0_33),
% 0.19/0.48 inference(component_clause,[status(thm)],[f693])).
% 0.19/0.48 fof(f696,plain,(
% 0.19/0.48 spl0_34 <=> in(relation_dom_as_subset(sk0_17,sk0_20,sk0_19),powerset(sk0_17))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f699,plain,(
% 0.19/0.48 empty(powerset(sk0_17))|in(relation_dom_as_subset(sk0_17,sk0_20,sk0_19),powerset(sk0_17))|~spl0_4),
% 0.19/0.48 inference(resolution,[status(thm)],[f162,f549])).
% 0.19/0.48 fof(f700,plain,(
% 0.19/0.48 spl0_33|spl0_34|~spl0_4),
% 0.19/0.48 inference(split_clause,[status(thm)],[f699,f693,f696,f208])).
% 0.19/0.48 fof(f709,plain,(
% 0.19/0.48 spl0_35 <=> empty(powerset(sk0_20))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f710,plain,(
% 0.19/0.48 empty(powerset(sk0_20))|~spl0_35),
% 0.19/0.48 inference(component_clause,[status(thm)],[f709])).
% 0.19/0.48 fof(f712,plain,(
% 0.19/0.48 spl0_36 <=> in(sk0_18,powerset(sk0_20))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f715,plain,(
% 0.19/0.48 empty(powerset(sk0_20))|in(sk0_18,powerset(sk0_20))),
% 0.19/0.48 inference(resolution,[status(thm)],[f162,f216])).
% 0.19/0.48 fof(f716,plain,(
% 0.19/0.48 spl0_35|spl0_36),
% 0.19/0.48 inference(split_clause,[status(thm)],[f715,f709,f712])).
% 0.19/0.48 fof(f717,plain,(
% 0.19/0.48 spl0_37 <=> empty(powerset(cartesian_product2(sk0_17,sk0_18)))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f718,plain,(
% 0.19/0.48 empty(powerset(cartesian_product2(sk0_17,sk0_18)))|~spl0_37),
% 0.19/0.48 inference(component_clause,[status(thm)],[f717])).
% 0.19/0.48 fof(f720,plain,(
% 0.19/0.48 spl0_38 <=> in(sk0_19,powerset(cartesian_product2(sk0_17,sk0_18)))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f723,plain,(
% 0.19/0.48 empty(powerset(cartesian_product2(sk0_17,sk0_18)))|in(sk0_19,powerset(cartesian_product2(sk0_17,sk0_18)))),
% 0.19/0.48 inference(resolution,[status(thm)],[f162,f363])).
% 0.19/0.48 fof(f724,plain,(
% 0.19/0.48 spl0_37|spl0_38),
% 0.19/0.48 inference(split_clause,[status(thm)],[f723,f717,f720])).
% 0.19/0.48 fof(f725,plain,(
% 0.19/0.48 spl0_39 <=> empty(powerset(cartesian_product2(sk0_17,sk0_20)))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f726,plain,(
% 0.19/0.48 empty(powerset(cartesian_product2(sk0_17,sk0_20)))|~spl0_39),
% 0.19/0.48 inference(component_clause,[status(thm)],[f725])).
% 0.19/0.48 fof(f728,plain,(
% 0.19/0.48 spl0_40 <=> in(sk0_19,powerset(cartesian_product2(sk0_17,sk0_20)))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f731,plain,(
% 0.19/0.48 empty(powerset(cartesian_product2(sk0_17,sk0_20)))|in(sk0_19,powerset(cartesian_product2(sk0_17,sk0_20)))|~spl0_4),
% 0.19/0.48 inference(resolution,[status(thm)],[f162,f362])).
% 0.19/0.48 fof(f732,plain,(
% 0.19/0.48 spl0_39|spl0_40|~spl0_4),
% 0.19/0.48 inference(split_clause,[status(thm)],[f731,f725,f728,f208])).
% 0.19/0.48 fof(f735,plain,(
% 0.19/0.48 ![X0]: (empty(X0)|in(sk0_1(X0),X0))),
% 0.19/0.48 inference(resolution,[status(thm)],[f162,f82])).
% 0.19/0.48 fof(f738,plain,(
% 0.19/0.48 $false|~spl0_33),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f694,f88])).
% 0.19/0.48 fof(f739,plain,(
% 0.19/0.48 ~spl0_33),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f738])).
% 0.19/0.48 fof(f740,plain,(
% 0.19/0.48 $false|~spl0_39),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f726,f88])).
% 0.19/0.48 fof(f741,plain,(
% 0.19/0.48 ~spl0_39),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f740])).
% 0.19/0.48 fof(f742,plain,(
% 0.19/0.48 $false|~spl0_37),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f718,f88])).
% 0.19/0.48 fof(f743,plain,(
% 0.19/0.48 ~spl0_37),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f742])).
% 0.19/0.48 fof(f744,plain,(
% 0.19/0.48 $false|~spl0_35),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f710,f88])).
% 0.19/0.48 fof(f745,plain,(
% 0.19/0.48 ~spl0_35),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f744])).
% 0.19/0.48 fof(f752,plain,(
% 0.19/0.48 ![X0]: (empty(X0)|~in(X0,sk0_1(X0)))),
% 0.19/0.48 inference(resolution,[status(thm)],[f735,f55])).
% 0.19/0.48 fof(f753,plain,(
% 0.19/0.48 spl0_41 <=> empty(powerset(empty_set))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f754,plain,(
% 0.19/0.48 empty(powerset(empty_set))|~spl0_41),
% 0.19/0.48 inference(component_clause,[status(thm)],[f753])).
% 0.19/0.48 fof(f756,plain,(
% 0.19/0.48 spl0_42 <=> in(empty_set,powerset(empty_set))),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f759,plain,(
% 0.19/0.48 empty(powerset(empty_set))|in(empty_set,powerset(empty_set))),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f305,f735])).
% 0.19/0.48 fof(f760,plain,(
% 0.19/0.48 spl0_41|spl0_42),
% 0.19/0.48 inference(split_clause,[status(thm)],[f759,f753,f756])).
% 0.19/0.48 fof(f761,plain,(
% 0.19/0.48 $false|~spl0_41),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f754,f88])).
% 0.19/0.48 fof(f762,plain,(
% 0.19/0.48 ~spl0_41),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f761])).
% 0.19/0.48 fof(f763,plain,(
% 0.19/0.48 spl0_43 <=> in(powerset(empty_set),empty_set)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f766,plain,(
% 0.19/0.48 empty(powerset(empty_set))|~in(powerset(empty_set),empty_set)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f305,f752])).
% 0.19/0.48 fof(f767,plain,(
% 0.19/0.48 spl0_41|~spl0_43),
% 0.19/0.48 inference(split_clause,[status(thm)],[f766,f753,f763])).
% 0.19/0.48 fof(f770,plain,(
% 0.19/0.48 spl0_44 <=> one_to_one(sk0_4(empty_set,X0))|X0=empty_set),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f773,plain,(
% 0.19/0.48 ![X0]: (~empty(empty_set)|one_to_one(sk0_4(empty_set,X0))|X0=empty_set)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f504,f323])).
% 0.19/0.48 fof(f774,plain,(
% 0.19/0.48 ~spl0_11|spl0_44),
% 0.19/0.48 inference(split_clause,[status(thm)],[f773,f284,f770])).
% 0.19/0.48 fof(f792,plain,(
% 0.19/0.48 relation_dom_as_subset(sk0_17,sk0_18,sk0_19)=relation_dom(sk0_19)),
% 0.19/0.48 inference(resolution,[status(thm)],[f149,f481])).
% 0.19/0.48 fof(f793,plain,(
% 0.19/0.48 sk0_17=relation_dom(sk0_19)|~spl0_17),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f317,f792])).
% 0.19/0.48 fof(f818,plain,(
% 0.19/0.48 ![X0]: (~in(X0,sk0_18)|element(X0,sk0_20))),
% 0.19/0.48 inference(resolution,[status(thm)],[f171,f216])).
% 0.19/0.48 fof(f825,plain,(
% 0.19/0.48 spl0_45 <=> relation(sk0_19)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f827,plain,(
% 0.19/0.48 ~relation(sk0_19)|spl0_45),
% 0.19/0.48 inference(component_clause,[status(thm)],[f825])).
% 0.19/0.48 fof(f828,plain,(
% 0.19/0.48 spl0_46 <=> empty(sk0_17)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f830,plain,(
% 0.19/0.48 ~empty(sk0_17)|spl0_46),
% 0.19/0.48 inference(component_clause,[status(thm)],[f828])).
% 0.19/0.48 fof(f831,plain,(
% 0.19/0.48 empty(sk0_19)|~relation(sk0_19)|~empty(sk0_17)|~spl0_17),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f793,f95])).
% 0.19/0.48 fof(f832,plain,(
% 0.19/0.48 spl0_13|~spl0_45|~spl0_46|~spl0_17),
% 0.19/0.48 inference(split_clause,[status(thm)],[f831,f292,f825,f828,f316])).
% 0.19/0.48 fof(f853,plain,(
% 0.19/0.48 ~empty(empty_set)|~spl0_1|spl0_46),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f199,f830])).
% 0.19/0.48 fof(f854,plain,(
% 0.19/0.48 ~spl0_11|~spl0_1|spl0_46),
% 0.19/0.48 inference(split_clause,[status(thm)],[f853,f284,f198,f828])).
% 0.19/0.48 fof(f908,plain,(
% 0.19/0.48 $false|~spl0_4|spl0_45),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f827,f448])).
% 0.19/0.48 fof(f909,plain,(
% 0.19/0.48 ~spl0_4|spl0_45),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f908])).
% 0.19/0.48 fof(f913,plain,(
% 0.19/0.48 ![X0]: (~empty(X0)|X0=sk0_19|~spl0_13)),
% 0.19/0.48 inference(resolution,[status(thm)],[f293,f182])).
% 0.19/0.48 fof(f921,plain,(
% 0.19/0.48 empty_set=sk0_19|~spl0_13),
% 0.19/0.48 inference(resolution,[status(thm)],[f913,f85])).
% 0.19/0.48 fof(f923,plain,(
% 0.19/0.48 sk0_17=relation_dom(empty_set)|~spl0_13|~spl0_17),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f921,f793])).
% 0.19/0.48 fof(f965,plain,(
% 0.19/0.48 relation_dom_as_subset(sk0_17,sk0_20,sk0_19)=relation_dom(sk0_19)|~spl0_4),
% 0.19/0.48 inference(resolution,[status(thm)],[f482,f149])).
% 0.19/0.48 fof(f966,plain,(
% 0.19/0.48 relation_dom_as_subset(sk0_17,sk0_20,sk0_19)=sk0_17|~spl0_17|~spl0_4),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f793,f965])).
% 0.19/0.48 fof(f1039,plain,(
% 0.19/0.48 spl0_48 <=> element(sk0_1(sk0_18),sk0_20)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1040,plain,(
% 0.19/0.48 element(sk0_1(sk0_18),sk0_20)|~spl0_48),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1039])).
% 0.19/0.48 fof(f1042,plain,(
% 0.19/0.48 spl0_49 <=> empty(sk0_18)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1043,plain,(
% 0.19/0.48 empty(sk0_18)|~spl0_49),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1042])).
% 0.19/0.48 fof(f1045,plain,(
% 0.19/0.48 element(sk0_1(sk0_18),sk0_20)|empty(sk0_18)),
% 0.19/0.48 inference(resolution,[status(thm)],[f818,f735])).
% 0.19/0.48 fof(f1046,plain,(
% 0.19/0.48 spl0_48|spl0_49),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1045,f1039,f1042])).
% 0.19/0.48 fof(f1085,plain,(
% 0.19/0.48 spl0_50 <=> empty(sk0_20)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1086,plain,(
% 0.19/0.48 empty(sk0_20)|~spl0_50),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1085])).
% 0.19/0.48 fof(f1088,plain,(
% 0.19/0.48 spl0_51 <=> in(sk0_1(sk0_18),sk0_20)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1089,plain,(
% 0.19/0.48 in(sk0_1(sk0_18),sk0_20)|~spl0_51),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1088])).
% 0.19/0.48 fof(f1091,plain,(
% 0.19/0.48 empty(sk0_20)|in(sk0_1(sk0_18),sk0_20)|~spl0_48),
% 0.19/0.48 inference(resolution,[status(thm)],[f1040,f162])).
% 0.19/0.48 fof(f1092,plain,(
% 0.19/0.48 spl0_50|spl0_51|~spl0_48),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1091,f1085,f1088,f1039])).
% 0.19/0.48 fof(f1093,plain,(
% 0.19/0.48 sk0_18=empty_set|~spl0_49),
% 0.19/0.48 inference(resolution,[status(thm)],[f1043,f176])).
% 0.19/0.48 fof(f1094,plain,(
% 0.19/0.48 spl0_0|~spl0_49),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1093,f195,f1042])).
% 0.19/0.48 fof(f1103,plain,(
% 0.19/0.48 sk0_20=empty_set|~spl0_50),
% 0.19/0.48 inference(resolution,[status(thm)],[f1086,f176])).
% 0.19/0.48 fof(f1124,plain,(
% 0.19/0.48 subset(sk0_18,empty_set)|~spl0_50),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f1103,f189])).
% 0.19/0.48 fof(f1139,plain,(
% 0.19/0.48 sk0_18=empty_set|~spl0_50),
% 0.19/0.48 inference(resolution,[status(thm)],[f1124,f168])).
% 0.19/0.48 fof(f1140,plain,(
% 0.19/0.48 spl0_0|~spl0_50),
% 0.19/0.48 inference(split_clause,[status(thm)],[f1139,f195,f1085])).
% 0.19/0.48 fof(f1162,plain,(
% 0.19/0.48 spl0_52 <=> pd0_0(sk0_20,sk0_17)),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f1163,plain,(
% 0.19/0.48 pd0_0(sk0_20,sk0_17)|~spl0_52),
% 0.19/0.48 inference(component_clause,[status(thm)],[f1162])).
% 0.19/0.48 fof(f1165,plain,(
% 0.19/0.48 ~relation_of2_as_subset(sk0_19,sk0_17,sk0_20)|pd0_0(sk0_20,sk0_17)|quasi_total(sk0_19,sk0_17,sk0_20)|~spl0_17|~spl0_4),
% 0.19/0.48 inference(resolution,[status(thm)],[f966,f72])).
% 0.19/0.49 fof(f1166,plain,(
% 0.19/0.49 ~spl0_4|spl0_52|spl0_3|~spl0_17),
% 0.19/0.49 inference(split_clause,[status(thm)],[f1165,f208,f1162,f205,f316])).
% 0.19/0.49 fof(f1177,plain,(
% 0.19/0.49 sk0_17=empty_set|~spl0_13|~spl0_17),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f339,f923])).
% 0.19/0.49 fof(f1291,plain,(
% 0.19/0.49 pd0_0(sk0_20,empty_set)|~spl0_13|~spl0_17|~spl0_52),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f1177,f1163])).
% 0.19/0.49 fof(f1292,plain,(
% 0.19/0.49 $false|~spl0_13|~spl0_17|~spl0_52),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1291,f214])).
% 0.19/0.49 fof(f1293,plain,(
% 0.19/0.49 ~spl0_13|~spl0_17|~spl0_52),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f1292])).
% 0.19/0.49 fof(f1296,plain,(
% 0.19/0.49 sk0_20=empty_set|~spl0_52),
% 0.19/0.49 inference(resolution,[status(thm)],[f1163,f193])).
% 0.19/0.49 fof(f1315,plain,(
% 0.19/0.49 in(sk0_1(sk0_18),empty_set)|~spl0_52|~spl0_51),
% 0.19/0.49 inference(backward_demodulation,[status(thm)],[f1296,f1089])).
% 0.19/0.49 fof(f1316,plain,(
% 0.19/0.49 $false|~spl0_52|~spl0_51),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1315,f325])).
% 0.19/0.49 fof(f1317,plain,(
% 0.19/0.49 ~spl0_52|~spl0_51),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f1316])).
% 0.19/0.49 fof(f1318,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(sat_refutation,[status(thm)],[f201,f211,f241,f243,f291,f301,f320,f322,f366,f401,f429,f440,f700,f716,f724,f732,f739,f741,f743,f745,f760,f762,f767,f774,f832,f854,f909,f1046,f1092,f1094,f1140,f1166,f1293,f1317])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.49 % Elapsed time: 0.147831 seconds
% 0.19/0.49 % CPU time: 1.058875 seconds
% 0.19/0.49 % Memory used: 55.097 MB
%------------------------------------------------------------------------------