TSTP Solution File: SET012+4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET012+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:33:30 EDT 2023
% Result : Theorem 24.75s 3.42s
% Output : CNFRefutation 24.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET012+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n003.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 : Tue May 30 10:14:38 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 24.75/3.42 % Refutation found
% 24.75/3.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 24.75/3.42 % SZS output start CNFRefutation for theBenchmark
% 24.75/3.42 fof(f1,axiom,(
% 24.75/3.42 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 24.75/3.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.75/3.42 fof(f2,axiom,(
% 24.75/3.42 (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 24.75/3.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.75/3.42 fof(f3,axiom,(
% 24.75/3.42 (! [X,A] :( member(X,power_set(A))<=> subset(X,A) ) )),
% 24.75/3.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.75/3.42 fof(f6,axiom,(
% 24.75/3.42 (! [X] : ~ member(X,empty_set) )),
% 24.75/3.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.75/3.42 fof(f7,axiom,(
% 24.75/3.42 (! [B,A,E] :( member(B,difference(E,A))<=> ( member(B,E)& ~ member(B,A) ) ) )),
% 24.75/3.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.75/3.42 fof(f8,axiom,(
% 24.75/3.42 (! [X,A] :( member(X,singleton(A))<=> X = A ) )),
% 24.75/3.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.75/3.42 fof(f12,conjecture,(
% 24.75/3.42 (! [A,E] :( subset(A,E)=> equal_set(difference(E,difference(E,A)),A) ) )),
% 24.75/3.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.75/3.42 fof(f13,negated_conjecture,(
% 24.75/3.42 ~((! [A,E] :( subset(A,E)=> equal_set(difference(E,difference(E,A)),A) ) ))),
% 24.75/3.42 inference(negated_conjecture,[status(cth)],[f12])).
% 24.75/3.42 fof(f14,plain,(
% 24.75/3.42 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 24.75/3.42 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 24.75/3.42 fof(f15,plain,(
% 24.75/3.42 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 24.75/3.42 inference(NNF_transformation,[status(esa)],[f14])).
% 24.75/3.42 fof(f16,plain,(
% 24.75/3.42 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 24.75/3.42 inference(miniscoping,[status(esa)],[f15])).
% 24.75/3.42 fof(f17,plain,(
% 24.75/3.42 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(member(sk0_0(B,A),A)&~member(sk0_0(B,A),B))))),
% 24.75/3.42 inference(skolemization,[status(esa)],[f16])).
% 24.75/3.42 fof(f18,plain,(
% 24.75/3.42 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 24.75/3.42 inference(cnf_transformation,[status(esa)],[f17])).
% 24.75/3.42 fof(f19,plain,(
% 24.75/3.42 ![X0,X1]: (subset(X0,X1)|member(sk0_0(X1,X0),X0))),
% 24.75/3.42 inference(cnf_transformation,[status(esa)],[f17])).
% 24.75/3.42 fof(f20,plain,(
% 24.75/3.42 ![X0,X1]: (subset(X0,X1)|~member(sk0_0(X1,X0),X1))),
% 24.75/3.42 inference(cnf_transformation,[status(esa)],[f17])).
% 24.75/3.42 fof(f21,plain,(
% 24.75/3.42 ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 24.75/3.42 inference(NNF_transformation,[status(esa)],[f2])).
% 24.75/3.42 fof(f22,plain,(
% 24.75/3.42 (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 24.75/3.42 inference(miniscoping,[status(esa)],[f21])).
% 24.75/3.42 fof(f25,plain,(
% 24.75/3.42 ![X0,X1]: (equal_set(X0,X1)|~subset(X0,X1)|~subset(X1,X0))),
% 24.75/3.42 inference(cnf_transformation,[status(esa)],[f22])).
% 24.75/3.42 fof(f26,plain,(
% 24.75/3.42 ![X,A]: ((~member(X,power_set(A))|subset(X,A))&(member(X,power_set(A))|~subset(X,A)))),
% 24.75/3.42 inference(NNF_transformation,[status(esa)],[f3])).
% 24.75/3.42 fof(f27,plain,(
% 24.75/3.42 (![X,A]: (~member(X,power_set(A))|subset(X,A)))&(![X,A]: (member(X,power_set(A))|~subset(X,A)))),
% 24.75/3.42 inference(miniscoping,[status(esa)],[f26])).
% 24.75/3.42 fof(f28,plain,(
% 24.75/3.42 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1))),
% 24.75/3.42 inference(cnf_transformation,[status(esa)],[f27])).
% 24.75/3.42 fof(f29,plain,(
% 24.75/3.42 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1))),
% 24.75/3.42 inference(cnf_transformation,[status(esa)],[f27])).
% 24.75/3.42 fof(f40,plain,(
% 24.75/3.42 ![X0]: (~member(X0,empty_set))),
% 24.75/3.42 inference(cnf_transformation,[status(esa)],[f6])).
% 24.75/3.42 fof(f41,plain,(
% 24.75/3.42 ![B,A,E]: ((~member(B,difference(E,A))|(member(B,E)&~member(B,A)))&(member(B,difference(E,A))|(~member(B,E)|member(B,A))))),
% 24.75/3.42 inference(NNF_transformation,[status(esa)],[f7])).
% 24.75/3.42 fof(f42,plain,(
% 24.75/3.42 (![B,A,E]: (~member(B,difference(E,A))|(member(B,E)&~member(B,A))))&(![B,A,E]: (member(B,difference(E,A))|(~member(B,E)|member(B,A))))),
% 24.75/3.42 inference(miniscoping,[status(esa)],[f41])).
% 24.75/3.42 fof(f43,plain,(
% 24.75/3.42 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 24.75/3.42 inference(cnf_transformation,[status(esa)],[f42])).
% 24.75/3.42 fof(f44,plain,(
% 24.75/3.42 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 24.75/3.43 inference(cnf_transformation,[status(esa)],[f42])).
% 24.75/3.43 fof(f45,plain,(
% 24.75/3.43 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 24.75/3.43 inference(cnf_transformation,[status(esa)],[f42])).
% 24.75/3.43 fof(f46,plain,(
% 24.75/3.43 ![X,A]: ((~member(X,singleton(A))|X=A)&(member(X,singleton(A))|~X=A))),
% 24.75/3.43 inference(NNF_transformation,[status(esa)],[f8])).
% 24.75/3.43 fof(f47,plain,(
% 24.75/3.43 (![X,A]: (~member(X,singleton(A))|X=A))&(![X,A]: (member(X,singleton(A))|~X=A))),
% 24.75/3.43 inference(miniscoping,[status(esa)],[f46])).
% 24.75/3.43 fof(f48,plain,(
% 24.75/3.43 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 24.75/3.43 inference(cnf_transformation,[status(esa)],[f47])).
% 24.75/3.43 fof(f49,plain,(
% 24.75/3.43 ![X0,X1]: (member(X0,singleton(X1))|~X0=X1)),
% 24.75/3.43 inference(cnf_transformation,[status(esa)],[f47])).
% 24.75/3.43 fof(f68,plain,(
% 24.75/3.43 (?[A,E]: (subset(A,E)&~equal_set(difference(E,difference(E,A)),A)))),
% 24.75/3.43 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 24.75/3.43 fof(f69,plain,(
% 24.75/3.43 (subset(sk0_3,sk0_4)&~equal_set(difference(sk0_4,difference(sk0_4,sk0_3)),sk0_3))),
% 24.75/3.43 inference(skolemization,[status(esa)],[f68])).
% 24.75/3.43 fof(f70,plain,(
% 24.75/3.43 subset(sk0_3,sk0_4)),
% 24.75/3.43 inference(cnf_transformation,[status(esa)],[f69])).
% 24.75/3.43 fof(f71,plain,(
% 24.75/3.43 ~equal_set(difference(sk0_4,difference(sk0_4,sk0_3)),sk0_3)),
% 24.75/3.43 inference(cnf_transformation,[status(esa)],[f69])).
% 24.75/3.43 fof(f72,plain,(
% 24.75/3.43 ![X0]: (member(X0,singleton(X0)))),
% 24.75/3.43 inference(destructive_equality_resolution,[status(esa)],[f49])).
% 24.75/3.43 fof(f75,plain,(
% 24.75/3.43 ![X0,X1,X2,X3]: (~subset(X0,X1)|member(X2,X1)|~subset(X3,X0)|~member(X2,X3))),
% 24.75/3.43 inference(resolution,[status(thm)],[f18,f18])).
% 24.75/3.43 fof(f79,plain,(
% 24.75/3.43 spl0_0 <=> subset(difference(sk0_4,difference(sk0_4,sk0_3)),sk0_3)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f81,plain,(
% 24.75/3.43 ~subset(difference(sk0_4,difference(sk0_4,sk0_3)),sk0_3)|spl0_0),
% 24.75/3.43 inference(component_clause,[status(thm)],[f79])).
% 24.75/3.43 fof(f82,plain,(
% 24.75/3.43 spl0_1 <=> subset(sk0_3,difference(sk0_4,difference(sk0_4,sk0_3)))),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f84,plain,(
% 24.75/3.43 ~subset(sk0_3,difference(sk0_4,difference(sk0_4,sk0_3)))|spl0_1),
% 24.75/3.43 inference(component_clause,[status(thm)],[f82])).
% 24.75/3.43 fof(f85,plain,(
% 24.75/3.43 ~subset(difference(sk0_4,difference(sk0_4,sk0_3)),sk0_3)|~subset(sk0_3,difference(sk0_4,difference(sk0_4,sk0_3)))),
% 24.75/3.43 inference(resolution,[status(thm)],[f25,f71])).
% 24.75/3.43 fof(f86,plain,(
% 24.75/3.43 ~spl0_0|~spl0_1),
% 24.75/3.43 inference(split_clause,[status(thm)],[f85,f79,f82])).
% 24.75/3.43 fof(f90,plain,(
% 24.75/3.43 ![X0,X1,X2,X3,X4,X5]: (~subset(X0,X1)|~subset(X2,X0)|~member(X3,X2)|~subset(X4,X5)|member(X3,X5)|~subset(X1,X4))),
% 24.75/3.43 inference(resolution,[status(thm)],[f75,f75])).
% 24.75/3.43 fof(f92,plain,(
% 24.75/3.43 ![X0,X1]: (~subset(sk0_4,X0)|member(X1,X0)|~member(X1,sk0_3))),
% 24.75/3.43 inference(resolution,[status(thm)],[f75,f70])).
% 24.75/3.43 fof(f98,plain,(
% 24.75/3.43 ![X0,X1,X2]: (~subset(X0,empty_set)|~subset(X1,X0)|~member(X2,X1))),
% 24.75/3.43 inference(resolution,[status(thm)],[f40,f75])).
% 24.75/3.43 fof(f99,plain,(
% 24.75/3.43 ![X0,X1]: (~subset(X0,empty_set)|~member(X1,X0))),
% 24.75/3.43 inference(resolution,[status(thm)],[f40,f18])).
% 24.75/3.43 fof(f100,plain,(
% 24.75/3.43 ![X0,X1,X2]: (~subset(X0,X1)|member(X2,X1)|~subset(singleton(X2),X0))),
% 24.75/3.43 inference(resolution,[status(thm)],[f72,f75])).
% 24.75/3.43 fof(f101,plain,(
% 24.75/3.43 ![X0,X1]: (~subset(singleton(X0),X1)|member(X0,X1))),
% 24.75/3.43 inference(resolution,[status(thm)],[f72,f18])).
% 24.75/3.43 fof(f112,plain,(
% 24.75/3.43 ![X0,X1]: (subset(power_set(X0),X1)|subset(sk0_0(X1,power_set(X0)),X0))),
% 24.75/3.43 inference(resolution,[status(thm)],[f19,f28])).
% 24.75/3.43 fof(f113,plain,(
% 24.75/3.43 ![X0,X1]: (subset(singleton(X0),X1)|sk0_0(X1,singleton(X0))=X0)),
% 24.75/3.43 inference(resolution,[status(thm)],[f19,f48])).
% 24.75/3.43 fof(f114,plain,(
% 24.75/3.43 ![X0]: (subset(empty_set,X0))),
% 24.75/3.43 inference(resolution,[status(thm)],[f19,f40])).
% 24.75/3.43 fof(f115,plain,(
% 24.75/3.43 ![X0,X1]: (subset(sk0_3,X0)|~subset(sk0_4,X1)|member(sk0_0(X0,sk0_3),X1))),
% 24.75/3.43 inference(resolution,[status(thm)],[f19,f92])).
% 24.75/3.43 fof(f116,plain,(
% 24.75/3.43 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|~member(sk0_0(X2,difference(X0,X1)),X1))),
% 24.75/3.43 inference(resolution,[status(thm)],[f19,f44])).
% 24.75/3.43 fof(f117,plain,(
% 24.75/3.43 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|member(sk0_0(X2,difference(X0,X1)),X0))),
% 24.75/3.43 inference(resolution,[status(thm)],[f19,f43])).
% 24.75/3.43 fof(f118,plain,(
% 24.75/3.43 ![X0,X1,X2,X3]: (subset(X0,X1)|~subset(X2,X3)|member(sk0_0(X1,X0),X3)|~subset(X0,X2))),
% 24.75/3.43 inference(resolution,[status(thm)],[f19,f75])).
% 24.75/3.43 fof(f119,plain,(
% 24.75/3.43 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|member(sk0_0(X1,X0),X2))),
% 24.75/3.43 inference(resolution,[status(thm)],[f19,f18])).
% 24.75/3.43 fof(f126,plain,(
% 24.75/3.43 ![X0]: (subset(X0,X0)|subset(X0,X0))),
% 24.75/3.43 inference(resolution,[status(thm)],[f20,f19])).
% 24.75/3.43 fof(f127,plain,(
% 24.75/3.43 ![X0]: (subset(X0,X0))),
% 24.75/3.43 inference(duplicate_literals_removal,[status(esa)],[f126])).
% 24.75/3.43 fof(f129,plain,(
% 24.75/3.43 ![X0,X1,X2]: (subset(X0,difference(X1,X2))|~member(sk0_0(difference(X1,X2),X0),X1)|member(sk0_0(difference(X1,X2),X0),X2))),
% 24.75/3.43 inference(resolution,[status(thm)],[f20,f45])).
% 24.75/3.43 fof(f159,plain,(
% 24.75/3.43 ![X0]: (subset(sk0_3,X0)|member(sk0_0(X0,sk0_3),sk0_4))),
% 24.75/3.43 inference(resolution,[status(thm)],[f115,f127])).
% 24.75/3.43 fof(f160,plain,(
% 24.75/3.43 spl0_2 <=> subset(sk0_3,sk0_4)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f163,plain,(
% 24.75/3.43 subset(sk0_3,sk0_4)|subset(sk0_3,sk0_4)),
% 24.75/3.43 inference(resolution,[status(thm)],[f159,f20])).
% 24.75/3.43 fof(f164,plain,(
% 24.75/3.43 spl0_2),
% 24.75/3.43 inference(split_clause,[status(thm)],[f163,f160])).
% 24.75/3.43 fof(f186,plain,(
% 24.75/3.43 spl0_7 <=> subset(sk0_4,sk0_4)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f188,plain,(
% 24.75/3.43 ~subset(sk0_4,sk0_4)|spl0_7),
% 24.75/3.43 inference(component_clause,[status(thm)],[f186])).
% 24.75/3.43 fof(f385,plain,(
% 24.75/3.43 ![X0,X1]: (subset(X0,X1)|~subset(X0,empty_set))),
% 24.75/3.43 inference(resolution,[status(thm)],[f119,f40])).
% 24.75/3.43 fof(f391,plain,(
% 24.75/3.43 ~member(sk0_0(sk0_3,difference(sk0_4,difference(sk0_4,sk0_3))),difference(sk0_4,sk0_3))|spl0_0),
% 24.75/3.43 inference(resolution,[status(thm)],[f116,f81])).
% 24.75/3.43 fof(f405,plain,(
% 24.75/3.43 member(sk0_0(sk0_3,difference(sk0_4,difference(sk0_4,sk0_3))),sk0_4)|spl0_0),
% 24.75/3.43 inference(resolution,[status(thm)],[f117,f81])).
% 24.75/3.43 fof(f452,plain,(
% 24.75/3.43 ![X0,X1,X2]: (sk0_0(X0,singleton(X1))=X1|~subset(X0,X2)|member(X1,X2))),
% 24.75/3.43 inference(resolution,[status(thm)],[f113,f100])).
% 24.75/3.43 fof(f453,plain,(
% 24.75/3.43 ![X0,X1]: (sk0_0(X0,singleton(X1))=X1|member(X1,X0))),
% 24.75/3.43 inference(resolution,[status(thm)],[f113,f101])).
% 24.75/3.43 fof(f479,plain,(
% 24.75/3.43 ![X0,X1,X2]: (sk0_0(difference(X0,X1),singleton(X2))=X2|~member(X2,X1))),
% 24.75/3.43 inference(resolution,[status(thm)],[f453,f44])).
% 24.75/3.43 fof(f547,plain,(
% 24.75/3.43 ![X0,X1]: (subset(sk0_0(empty_set,power_set(X0)),X0)|subset(power_set(X0),X1))),
% 24.75/3.43 inference(resolution,[status(thm)],[f112,f385])).
% 24.75/3.43 fof(f549,plain,(
% 24.75/3.43 ![X0,X1]: (subset(sk0_0(empty_set,power_set(X0)),X0)|~member(X1,power_set(X0)))),
% 24.75/3.43 inference(resolution,[status(thm)],[f112,f99])).
% 24.75/3.43 fof(f638,plain,(
% 24.75/3.43 spl0_24 <=> member(sk0_0(sk0_3,difference(sk0_4,difference(sk0_4,sk0_3))),sk0_4)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f640,plain,(
% 24.75/3.43 ~member(sk0_0(sk0_3,difference(sk0_4,difference(sk0_4,sk0_3))),sk0_4)|spl0_24),
% 24.75/3.43 inference(component_clause,[status(thm)],[f638])).
% 24.75/3.43 fof(f641,plain,(
% 24.75/3.43 spl0_25 <=> member(sk0_0(sk0_3,difference(sk0_4,difference(sk0_4,sk0_3))),sk0_3)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f642,plain,(
% 24.75/3.43 member(sk0_0(sk0_3,difference(sk0_4,difference(sk0_4,sk0_3))),sk0_3)|~spl0_25),
% 24.75/3.43 inference(component_clause,[status(thm)],[f641])).
% 24.75/3.43 fof(f644,plain,(
% 24.75/3.43 ~member(sk0_0(sk0_3,difference(sk0_4,difference(sk0_4,sk0_3))),sk0_4)|member(sk0_0(sk0_3,difference(sk0_4,difference(sk0_4,sk0_3))),sk0_3)|spl0_0),
% 24.75/3.43 inference(resolution,[status(thm)],[f391,f45])).
% 24.75/3.43 fof(f645,plain,(
% 24.75/3.43 ~spl0_24|spl0_25|spl0_0),
% 24.75/3.43 inference(split_clause,[status(thm)],[f644,f638,f641,f79])).
% 24.75/3.43 fof(f649,plain,(
% 24.75/3.43 spl0_26 <=> member(sk0_0(difference(sk0_4,difference(sk0_4,sk0_3)),sk0_3),sk0_4)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f651,plain,(
% 24.75/3.43 ~member(sk0_0(difference(sk0_4,difference(sk0_4,sk0_3)),sk0_3),sk0_4)|spl0_26),
% 24.75/3.43 inference(component_clause,[status(thm)],[f649])).
% 24.75/3.43 fof(f652,plain,(
% 24.75/3.43 spl0_27 <=> member(sk0_0(difference(sk0_4,difference(sk0_4,sk0_3)),sk0_3),difference(sk0_4,sk0_3))),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f653,plain,(
% 24.75/3.43 member(sk0_0(difference(sk0_4,difference(sk0_4,sk0_3)),sk0_3),difference(sk0_4,sk0_3))|~spl0_27),
% 24.75/3.43 inference(component_clause,[status(thm)],[f652])).
% 24.75/3.43 fof(f655,plain,(
% 24.75/3.43 ~member(sk0_0(difference(sk0_4,difference(sk0_4,sk0_3)),sk0_3),sk0_4)|member(sk0_0(difference(sk0_4,difference(sk0_4,sk0_3)),sk0_3),difference(sk0_4,sk0_3))|spl0_1),
% 24.75/3.43 inference(resolution,[status(thm)],[f84,f129])).
% 24.75/3.43 fof(f656,plain,(
% 24.75/3.43 ~spl0_26|spl0_27|spl0_1),
% 24.75/3.43 inference(split_clause,[status(thm)],[f655,f649,f652,f82])).
% 24.75/3.43 fof(f751,plain,(
% 24.75/3.43 spl0_38 <=> subset(sk0_3,sk0_3)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f753,plain,(
% 24.75/3.43 ~subset(sk0_3,sk0_3)|spl0_38),
% 24.75/3.43 inference(component_clause,[status(thm)],[f751])).
% 24.75/3.43 fof(f763,plain,(
% 24.75/3.43 $false|spl0_38),
% 24.75/3.43 inference(forward_subsumption_resolution,[status(thm)],[f753,f127])).
% 24.75/3.43 fof(f764,plain,(
% 24.75/3.43 spl0_38),
% 24.75/3.43 inference(contradiction_clause,[status(thm)],[f763])).
% 24.75/3.43 fof(f785,plain,(
% 24.75/3.43 subset(sk0_3,difference(sk0_4,difference(sk0_4,sk0_3)))|~subset(sk0_3,sk0_4)|spl0_26),
% 24.75/3.43 inference(resolution,[status(thm)],[f651,f119])).
% 24.75/3.43 fof(f786,plain,(
% 24.75/3.43 spl0_1|~spl0_2|spl0_26),
% 24.75/3.43 inference(split_clause,[status(thm)],[f785,f82,f160,f649])).
% 24.75/3.43 fof(f987,plain,(
% 24.75/3.43 ![X0,X1,X2]: (sk0_0(difference(X0,power_set(X1)),singleton(X2))=X2|~subset(X2,X1))),
% 24.75/3.43 inference(resolution,[status(thm)],[f479,f29])).
% 24.75/3.43 fof(f1592,plain,(
% 24.75/3.43 spl0_80 <=> ~subset(X0,sk0_3)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f1593,plain,(
% 24.75/3.43 ![X0]: (~subset(X0,sk0_3)|~spl0_80)),
% 24.75/3.43 inference(component_clause,[status(thm)],[f1592])).
% 24.75/3.43 fof(f1655,plain,(
% 24.75/3.43 $false|spl0_0|spl0_24),
% 24.75/3.43 inference(forward_subsumption_resolution,[status(thm)],[f640,f405])).
% 24.75/3.43 fof(f1656,plain,(
% 24.75/3.43 spl0_0|spl0_24),
% 24.75/3.43 inference(contradiction_clause,[status(thm)],[f1655])).
% 24.75/3.43 fof(f1793,plain,(
% 24.75/3.43 ![X0,X1]: (sk0_0(X0,singleton(X1))=X1|~subset(X0,empty_set))),
% 24.75/3.43 inference(resolution,[status(thm)],[f452,f40])).
% 24.75/3.43 fof(f2008,plain,(
% 24.75/3.43 spl0_86 <=> member(sk0_0(sk0_3,sk0_3),X0)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f2009,plain,(
% 24.75/3.43 ![X0]: (member(sk0_0(sk0_3,sk0_3),X0)|~spl0_86)),
% 24.75/3.43 inference(component_clause,[status(thm)],[f2008])).
% 24.75/3.43 fof(f2034,plain,(
% 24.75/3.43 spl0_91 <=> member(sk0_0(empty_set,sk0_3),X0)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f2035,plain,(
% 24.75/3.43 ![X0]: (member(sk0_0(empty_set,sk0_3),X0)|~spl0_91)),
% 24.75/3.43 inference(component_clause,[status(thm)],[f2034])).
% 24.75/3.43 fof(f2064,plain,(
% 24.75/3.43 spl0_92 <=> ~subset(X0,empty_set)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f2065,plain,(
% 24.75/3.43 ![X0]: (~subset(X0,empty_set)|~spl0_92)),
% 24.75/3.43 inference(component_clause,[status(thm)],[f2064])).
% 24.75/3.43 fof(f2086,plain,(
% 24.75/3.43 $false|~spl0_91),
% 24.75/3.43 inference(resolution,[status(thm)],[f2035,f40])).
% 24.75/3.43 fof(f2087,plain,(
% 24.75/3.43 ~spl0_91),
% 24.75/3.43 inference(contradiction_clause,[status(thm)],[f2086])).
% 24.75/3.43 fof(f2339,plain,(
% 24.75/3.43 spl0_108 <=> subset(power_set(sk0_3),X0)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f2340,plain,(
% 24.75/3.43 ![X0]: (subset(power_set(sk0_3),X0)|~spl0_108)),
% 24.75/3.43 inference(component_clause,[status(thm)],[f2339])).
% 24.75/3.43 fof(f2383,plain,(
% 24.75/3.43 spl0_117 <=> subset(power_set(empty_set),X0)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f2384,plain,(
% 24.75/3.43 ![X0]: (subset(power_set(empty_set),X0)|~spl0_117)),
% 24.75/3.43 inference(component_clause,[status(thm)],[f2383])).
% 24.75/3.43 fof(f2386,plain,(
% 24.75/3.43 spl0_118 <=> sk0_0(sk0_0(empty_set,power_set(empty_set)),singleton(X1))=X1),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f2391,plain,(
% 24.75/3.43 spl0_119 <=> subset(sk0_0(empty_set,power_set(empty_set)),X1)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f2392,plain,(
% 24.75/3.43 ![X0]: (subset(sk0_0(empty_set,power_set(empty_set)),X0)|~spl0_119)),
% 24.75/3.43 inference(component_clause,[status(thm)],[f2391])).
% 24.75/3.43 fof(f2396,plain,(
% 24.75/3.43 spl0_120 <=> ~subset(X1,sk0_0(empty_set,power_set(empty_set)))|~member(X2,X1)),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f2401,plain,(
% 24.75/3.43 spl0_121 <=> ~member(X1,sk0_0(empty_set,power_set(empty_set)))),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f2402,plain,(
% 24.75/3.43 ![X0]: (~member(X0,sk0_0(empty_set,power_set(empty_set)))|~spl0_121)),
% 24.75/3.43 inference(component_clause,[status(thm)],[f2401])).
% 24.75/3.43 fof(f2529,plain,(
% 24.75/3.43 spl0_124 <=> ~member(X0,power_set(sk0_3))),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f2530,plain,(
% 24.75/3.43 ![X0]: (~member(X0,power_set(sk0_3))|~spl0_124)),
% 24.75/3.43 inference(component_clause,[status(thm)],[f2529])).
% 24.75/3.43 fof(f2551,plain,(
% 24.75/3.43 spl0_127 <=> ~member(X0,power_set(empty_set))),
% 24.75/3.43 introduced(split_symbol_definition)).
% 24.75/3.43 fof(f2552,plain,(
% 24.75/3.43 ![X0]: (~member(X0,power_set(empty_set))|~spl0_127)),
% 24.75/3.43 inference(component_clause,[status(thm)],[f2551])).
% 24.75/3.44 fof(f2554,plain,(
% 24.75/3.44 ![X0,X1]: (~member(X0,power_set(empty_set))|sk0_0(sk0_0(empty_set,power_set(empty_set)),singleton(X1))=X1)),
% 24.75/3.44 inference(resolution,[status(thm)],[f549,f1793])).
% 24.75/3.44 fof(f2555,plain,(
% 24.75/3.44 spl0_127|spl0_118),
% 24.75/3.44 inference(split_clause,[status(thm)],[f2554,f2551,f2386])).
% 24.75/3.44 fof(f2556,plain,(
% 24.75/3.44 ![X0,X1]: (~member(X0,power_set(empty_set))|subset(sk0_0(empty_set,power_set(empty_set)),X1))),
% 24.75/3.44 inference(resolution,[status(thm)],[f549,f385])).
% 24.75/3.44 fof(f2557,plain,(
% 24.75/3.44 spl0_127|spl0_119),
% 24.75/3.44 inference(split_clause,[status(thm)],[f2556,f2551,f2391])).
% 24.75/3.44 fof(f2558,plain,(
% 24.75/3.44 ![X0,X1,X2]: (~member(X0,power_set(empty_set))|~subset(X1,sk0_0(empty_set,power_set(empty_set)))|~member(X2,X1))),
% 24.75/3.44 inference(resolution,[status(thm)],[f549,f98])).
% 24.75/3.44 fof(f2559,plain,(
% 24.75/3.44 spl0_127|spl0_120),
% 24.75/3.44 inference(split_clause,[status(thm)],[f2558,f2551,f2396])).
% 24.75/3.44 fof(f2560,plain,(
% 24.75/3.44 ![X0,X1]: (~member(X0,power_set(empty_set))|~member(X1,sk0_0(empty_set,power_set(empty_set))))),
% 24.75/3.44 inference(resolution,[status(thm)],[f549,f99])).
% 24.75/3.44 fof(f2561,plain,(
% 24.75/3.44 spl0_127|spl0_121),
% 24.75/3.44 inference(split_clause,[status(thm)],[f2560,f2551,f2401])).
% 24.75/3.44 fof(f2719,plain,(
% 24.75/3.44 ![X0,X1]: (sk0_0(difference(X0,power_set(X1)),singleton(empty_set))=empty_set)),
% 24.75/3.44 inference(resolution,[status(thm)],[f987,f114])).
% 24.75/3.44 fof(f2750,plain,(
% 24.75/3.44 spl0_130 <=> subset(singleton(empty_set),difference(X0,power_set(X1)))),
% 24.75/3.44 introduced(split_symbol_definition)).
% 24.75/3.44 fof(f2751,plain,(
% 24.75/3.44 ![X0,X1]: (subset(singleton(empty_set),difference(X0,power_set(X1)))|~spl0_130)),
% 24.75/3.44 inference(component_clause,[status(thm)],[f2750])).
% 24.75/3.44 fof(f2753,plain,(
% 24.75/3.44 spl0_131 <=> ~subset(singleton(empty_set),X2)|member(empty_set,X2)),
% 24.75/3.44 introduced(split_symbol_definition)).
% 24.75/3.44 fof(f2756,plain,(
% 24.75/3.44 ![X0,X1,X2]: (subset(singleton(empty_set),difference(X0,power_set(X1)))|~subset(singleton(empty_set),X2)|member(empty_set,X2))),
% 24.75/3.44 inference(paramodulation,[status(thm)],[f2719,f119])).
% 24.75/3.44 fof(f2757,plain,(
% 24.75/3.44 spl0_130|spl0_131),
% 24.75/3.44 inference(split_clause,[status(thm)],[f2756,f2750,f2753])).
% 24.75/3.44 fof(f2759,plain,(
% 24.75/3.44 spl0_132 <=> member(empty_set,singleton(empty_set))),
% 24.75/3.44 introduced(split_symbol_definition)).
% 24.75/3.44 fof(f2762,plain,(
% 24.75/3.44 ![X0,X1]: (subset(singleton(empty_set),difference(X0,power_set(X1)))|member(empty_set,singleton(empty_set)))),
% 24.75/3.44 inference(paramodulation,[status(thm)],[f2719,f19])).
% 24.75/3.44 fof(f2763,plain,(
% 24.75/3.44 spl0_130|spl0_132),
% 24.75/3.44 inference(split_clause,[status(thm)],[f2762,f2750,f2759])).
% 24.75/3.44 fof(f3019,plain,(
% 24.75/3.44 ![X0]: (~member(X0,power_set(sk0_3))|~spl0_108)),
% 24.75/3.44 inference(resolution,[status(thm)],[f2340,f99])).
% 24.75/3.44 fof(f3034,plain,(
% 24.75/3.44 ![X0]: (~subset(X0,sk0_3)|~spl0_124)),
% 24.75/3.44 inference(resolution,[status(thm)],[f2530,f29])).
% 24.75/3.44 fof(f3066,plain,(
% 24.75/3.44 ![X0]: (~member(X0,power_set(empty_set))|~spl0_117)),
% 24.75/3.44 inference(resolution,[status(thm)],[f2384,f99])).
% 24.75/3.44 fof(f3081,plain,(
% 24.75/3.44 ![X0]: (~subset(X0,empty_set)|~spl0_127)),
% 24.75/3.44 inference(resolution,[status(thm)],[f2552,f29])).
% 24.75/3.44 fof(f3103,plain,(
% 24.75/3.44 ![X0]: (~subset(X0,sk0_3)|~spl0_108)),
% 24.75/3.44 inference(resolution,[status(thm)],[f3019,f29])).
% 24.75/3.44 fof(f3808,plain,(
% 24.75/3.44 ![X0,X1]: (member(empty_set,difference(X0,power_set(X1)))|~spl0_130)),
% 24.75/3.44 inference(resolution,[status(thm)],[f2751,f101])).
% 24.75/3.44 fof(f3818,plain,(
% 24.75/3.44 ![X0]: (member(empty_set,X0)|~spl0_130)),
% 24.75/3.44 inference(resolution,[status(thm)],[f3808,f43])).
% 24.75/3.44 fof(f4460,plain,(
% 24.75/3.44 spl0_149 <=> subset(sk0_0(empty_set,power_set(empty_set)),sk0_0(empty_set,power_set(empty_set)))),
% 24.75/3.44 introduced(split_symbol_definition)).
% 24.75/3.44 fof(f4462,plain,(
% 24.75/3.44 ~subset(sk0_0(empty_set,power_set(empty_set)),sk0_0(empty_set,power_set(empty_set)))|spl0_149),
% 24.75/3.44 inference(component_clause,[status(thm)],[f4460])).
% 24.75/3.44 fof(f4463,plain,(
% 24.75/3.44 spl0_150 <=> ~member(X0,sk0_0(empty_set,power_set(empty_set)))|member(X0,sk0_0(empty_set,power_set(empty_set)))),
% 24.75/3.44 introduced(split_symbol_definition)).
% 24.75/3.44 fof(f4466,plain,(
% 24.75/3.44 ![X0]: (~subset(sk0_0(empty_set,power_set(empty_set)),sk0_0(empty_set,power_set(empty_set)))|~member(X0,sk0_0(empty_set,power_set(empty_set)))|member(X0,sk0_0(empty_set,power_set(empty_set)))|~spl0_119)),
% 24.75/3.44 inference(resolution,[status(thm)],[f90,f2392])).
% 24.75/3.44 fof(f4467,plain,(
% 24.75/3.44 ~spl0_149|spl0_150|~spl0_119),
% 24.75/3.44 inference(split_clause,[status(thm)],[f4466,f4460,f4463,f2391])).
% 24.75/3.44 fof(f4483,plain,(
% 24.75/3.44 spl0_151 <=> subset(empty_set,empty_set)),
% 24.75/3.44 introduced(split_symbol_definition)).
% 24.75/3.44 fof(f4485,plain,(
% 24.75/3.44 ~subset(empty_set,empty_set)|spl0_151),
% 24.75/3.44 inference(component_clause,[status(thm)],[f4483])).
% 24.75/3.44 fof(f4486,plain,(
% 24.75/3.44 spl0_152 <=> ~member(X0,empty_set)|member(X0,empty_set)),
% 24.75/3.44 introduced(split_symbol_definition)).
% 24.75/3.44 fof(f4489,plain,(
% 24.75/3.44 ![X0]: (~subset(empty_set,empty_set)|~member(X0,empty_set)|member(X0,empty_set))),
% 24.75/3.44 inference(resolution,[status(thm)],[f90,f114])).
% 24.75/3.44 fof(f4490,plain,(
% 24.75/3.44 ~spl0_151|spl0_152),
% 24.75/3.44 inference(split_clause,[status(thm)],[f4489,f4483,f4486])).
% 24.75/3.44 fof(f4684,plain,(
% 24.75/3.44 $false|~spl0_119|spl0_149),
% 24.75/3.44 inference(forward_subsumption_resolution,[status(thm)],[f4462,f2392])).
% 24.75/3.44 fof(f4685,plain,(
% 24.75/3.44 ~spl0_119|spl0_149),
% 24.75/3.44 inference(contradiction_clause,[status(thm)],[f4684])).
% 24.75/3.44 fof(f4688,plain,(
% 24.75/3.44 $false|spl0_151),
% 24.75/3.44 inference(forward_subsumption_resolution,[status(thm)],[f4485,f114])).
% 24.75/3.44 fof(f4689,plain,(
% 24.75/3.44 spl0_151),
% 24.75/3.44 inference(contradiction_clause,[status(thm)],[f4688])).
% 24.75/3.44 fof(f4837,plain,(
% 24.75/3.44 $false|~spl0_108),
% 24.75/3.44 inference(resolution,[status(thm)],[f3103,f2340])).
% 24.75/3.44 fof(f4838,plain,(
% 24.75/3.44 ~spl0_108),
% 24.75/3.44 inference(contradiction_clause,[status(thm)],[f4837])).
% 24.75/3.44 fof(f4843,plain,(
% 24.75/3.44 spl0_127|~spl0_117),
% 24.75/3.44 inference(split_clause,[status(thm)],[f3066,f2551,f2383])).
% 24.75/3.44 fof(f4858,plain,(
% 24.75/3.44 $false|~spl0_127),
% 24.75/3.44 inference(resolution,[status(thm)],[f3081,f114])).
% 24.75/3.44 fof(f4859,plain,(
% 24.75/3.44 ~spl0_127),
% 24.75/3.44 inference(contradiction_clause,[status(thm)],[f4858])).
% 24.75/3.44 fof(f5840,plain,(
% 24.75/3.44 $false|~spl0_80),
% 24.75/3.44 inference(resolution,[status(thm)],[f1593,f114])).
% 24.75/3.44 fof(f5841,plain,(
% 24.75/3.44 ~spl0_80),
% 24.75/3.44 inference(contradiction_clause,[status(thm)],[f5840])).
% 24.75/3.44 fof(f5858,plain,(
% 24.75/3.44 $false|~spl0_92),
% 24.75/3.44 inference(resolution,[status(thm)],[f2065,f114])).
% 24.75/3.44 fof(f5859,plain,(
% 24.75/3.44 ~spl0_92),
% 24.75/3.44 inference(contradiction_clause,[status(thm)],[f5858])).
% 24.75/3.44 fof(f6068,plain,(
% 24.75/3.44 $false|~spl0_124),
% 24.75/3.44 inference(resolution,[status(thm)],[f3034,f114])).
% 24.75/3.44 fof(f6069,plain,(
% 24.75/3.44 ~spl0_124),
% 24.75/3.44 inference(contradiction_clause,[status(thm)],[f6068])).
% 24.75/3.44 fof(f6144,plain,(
% 24.75/3.44 ~member(sk0_0(difference(sk0_4,difference(sk0_4,sk0_3)),sk0_3),sk0_3)|~spl0_27),
% 24.75/3.44 inference(resolution,[status(thm)],[f653,f44])).
% 24.75/3.44 fof(f6741,plain,(
% 24.75/3.44 spl0_193 <=> subset(empty_set,sk0_3)),
% 24.75/3.44 introduced(split_symbol_definition)).
% 24.75/3.44 fof(f6743,plain,(
% 24.75/3.44 ~subset(empty_set,sk0_3)|spl0_193),
% 24.75/3.44 inference(component_clause,[status(thm)],[f6741])).
% 24.75/3.44 fof(f6762,plain,(
% 24.75/3.44 spl0_196 <=> ~subset(empty_set,X0)|~subset(X0,sk0_3)),
% 24.75/3.44 introduced(split_symbol_definition)).
% 24.75/3.44 fof(f6763,plain,(
% 24.75/3.44 ![X0]: (~subset(empty_set,X0)|~subset(X0,sk0_3)|~spl0_196)),
% 24.75/3.44 inference(component_clause,[status(thm)],[f6762])).
% 24.75/3.44 fof(f6778,plain,(
% 24.75/3.44 $false|spl0_193),
% 24.75/3.44 inference(forward_subsumption_resolution,[status(thm)],[f6743,f114])).
% 24.75/3.44 fof(f6779,plain,(
% 24.75/3.44 spl0_193),
% 24.75/3.44 inference(contradiction_clause,[status(thm)],[f6778])).
% 24.75/3.44 fof(f6781,plain,(
% 24.75/3.44 ![X0]: (~subset(X0,sk0_3)|~spl0_196)),
% 24.75/3.44 inference(forward_subsumption_resolution,[status(thm)],[f6763,f114])).
% 24.75/3.44 fof(f6807,plain,(
% 24.75/3.44 $false|~spl0_196),
% 24.75/3.44 inference(resolution,[status(thm)],[f6781,f114])).
% 24.75/3.44 fof(f6808,plain,(
% 24.75/3.44 ~spl0_196),
% 24.75/3.44 inference(contradiction_clause,[status(thm)],[f6807])).
% 24.75/3.44 fof(f6954,plain,(
% 24.75/3.44 $false|~spl0_86),
% 24.75/3.44 inference(resolution,[status(thm)],[f2009,f40])).
% 24.75/3.44 fof(f6955,plain,(
% 24.75/3.44 ~spl0_86),
% 24.75/3.44 inference(contradiction_clause,[status(thm)],[f6954])).
% 24.75/3.44 fof(f7614,plain,(
% 24.75/3.44 spl0_204 <=> ~member(X0,singleton(empty_set))),
% 24.75/3.44 introduced(split_symbol_definition)).
% 24.75/3.44 fof(f7615,plain,(
% 24.75/3.44 ![X0]: (~member(X0,singleton(empty_set))|~spl0_204)),
% 24.75/3.44 inference(component_clause,[status(thm)],[f7614])).
% 24.75/3.44 fof(f7656,plain,(
% 24.75/3.44 $false|~spl0_204),
% 24.75/3.44 inference(resolution,[status(thm)],[f7615,f72])).
% 24.75/3.44 fof(f7657,plain,(
% 24.75/3.44 ~spl0_204),
% 24.75/3.44 inference(contradiction_clause,[status(thm)],[f7656])).
% 24.75/3.44 fof(f7753,plain,(
% 24.75/3.44 subset(difference(sk0_4,difference(sk0_4,sk0_3)),sk0_3)|~spl0_25),
% 24.75/3.44 inference(resolution,[status(thm)],[f642,f20])).
% 24.75/3.44 fof(f7754,plain,(
% 24.75/3.44 $false|spl0_0|~spl0_25),
% 24.75/3.44 inference(forward_subsumption_resolution,[status(thm)],[f7753,f81])).
% 24.75/3.44 fof(f7755,plain,(
% 24.75/3.45 spl0_0|~spl0_25),
% 24.75/3.45 inference(contradiction_clause,[status(thm)],[f7754])).
% 24.75/3.45 fof(f7912,plain,(
% 24.75/3.45 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,empty_set)|~subset(X0,X2))),
% 24.75/3.45 inference(resolution,[status(thm)],[f118,f40])).
% 24.75/3.45 fof(f7939,plain,(
% 24.75/3.45 spl0_206 <=> subset(X0,X1)|~subset(X0,sk0_0(empty_set,power_set(empty_set)))),
% 24.75/3.45 introduced(split_symbol_definition)).
% 24.75/3.45 fof(f7944,plain,(
% 24.75/3.45 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,sk0_0(empty_set,power_set(empty_set)))|subset(power_set(empty_set),X2))),
% 24.75/3.45 inference(resolution,[status(thm)],[f7912,f547])).
% 24.75/3.45 fof(f7945,plain,(
% 24.75/3.45 spl0_206|spl0_117),
% 24.75/3.45 inference(split_clause,[status(thm)],[f7944,f7939,f2383])).
% 24.75/3.45 fof(f8245,plain,(
% 24.75/3.45 spl0_208 <=> ~subset(X2,X3)|member(empty_set,X3)|~subset(singleton(empty_set),X2)),
% 24.75/3.45 introduced(split_symbol_definition)).
% 24.75/3.45 fof(f8248,plain,(
% 24.75/3.45 ![X0,X1,X2,X3]: (subset(singleton(empty_set),difference(X0,power_set(X1)))|~subset(X2,X3)|member(empty_set,X3)|~subset(singleton(empty_set),X2))),
% 24.75/3.45 inference(paramodulation,[status(thm)],[f2719,f118])).
% 24.75/3.45 fof(f8249,plain,(
% 24.75/3.45 spl0_130|spl0_208),
% 24.75/3.45 inference(split_clause,[status(thm)],[f8248,f2750,f8245])).
% 24.75/3.45 fof(f8258,plain,(
% 24.75/3.45 $false|~spl0_130|~spl0_121),
% 24.75/3.45 inference(resolution,[status(thm)],[f3818,f2402])).
% 24.75/3.45 fof(f8259,plain,(
% 24.75/3.45 ~spl0_130|~spl0_121),
% 24.75/3.45 inference(contradiction_clause,[status(thm)],[f8258])).
% 24.75/3.45 fof(f8599,plain,(
% 24.75/3.45 $false|spl0_7),
% 24.75/3.45 inference(forward_subsumption_resolution,[status(thm)],[f188,f127])).
% 24.75/3.45 fof(f8600,plain,(
% 24.75/3.45 spl0_7),
% 24.75/3.45 inference(contradiction_clause,[status(thm)],[f8599])).
% 24.75/3.45 fof(f9123,plain,(
% 24.75/3.45 subset(sk0_3,difference(sk0_4,difference(sk0_4,sk0_3)))|~spl0_27),
% 24.75/3.45 inference(resolution,[status(thm)],[f6144,f19])).
% 24.75/3.45 fof(f9124,plain,(
% 24.75/3.45 spl0_1|~spl0_27),
% 24.75/3.45 inference(split_clause,[status(thm)],[f9123,f82,f652])).
% 24.75/3.45 fof(f9133,plain,(
% 24.75/3.45 $false),
% 24.75/3.45 inference(sat_refutation,[status(thm)],[f86,f164,f645,f656,f764,f786,f1656,f2087,f2555,f2557,f2559,f2561,f2757,f2763,f4467,f4490,f4685,f4689,f4838,f4843,f4859,f5841,f5859,f6069,f6779,f6808,f6955,f7657,f7755,f7945,f8249,f8259,f8600,f9124])).
% 24.75/3.45 % SZS output end CNFRefutation for theBenchmark.p
% 24.75/3.48 % Elapsed time: 3.200603 seconds
% 24.75/3.48 % CPU time: 25.158404 seconds
% 24.75/3.48 % Memory used: 142.246 MB
%------------------------------------------------------------------------------