TSTP Solution File: SET690+4 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET690+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:40:11 EDT 2024
% Result : Theorem 105.47s 13.66s
% Output : CNFRefutation 105.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SET690+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 22:06:49 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % Drodi V3.6.0
% 105.47/13.66 % Refutation found
% 105.47/13.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 105.47/13.66 % SZS output start CNFRefutation for theBenchmark
% 105.47/13.66 fof(f1,axiom,(
% 105.47/13.66 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 105.47/13.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 105.47/13.66 fof(f2,axiom,(
% 105.47/13.66 (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 105.47/13.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 105.47/13.66 fof(f4,axiom,(
% 105.47/13.66 (! [X,A,B] :( member(X,intersection(A,B))<=> ( member(X,A)& member(X,B) ) ) )),
% 105.47/13.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 105.47/13.66 fof(f5,axiom,(
% 105.47/13.66 (! [X,A,B] :( member(X,union(A,B))<=> ( member(X,A)| member(X,B) ) ) )),
% 105.47/13.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 105.47/13.66 fof(f6,axiom,(
% 105.47/13.66 (! [X] : ~ member(X,empty_set) )),
% 105.47/13.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 105.47/13.66 fof(f12,conjecture,(
% 105.47/13.66 (! [A,B,C] :( equal_set(union(intersection(A,B),C),intersection(A,union(B,C)))<=> subset(C,A) ) )),
% 105.47/13.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 105.47/13.66 fof(f13,negated_conjecture,(
% 105.47/13.66 ~((! [A,B,C] :( equal_set(union(intersection(A,B),C),intersection(A,union(B,C)))<=> subset(C,A) ) ))),
% 105.47/13.66 inference(negated_conjecture,[status(cth)],[f12])).
% 105.47/13.66 fof(f14,plain,(
% 105.47/13.66 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 105.47/13.66 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 105.47/13.66 fof(f15,plain,(
% 105.47/13.66 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 105.47/13.66 inference(NNF_transformation,[status(esa)],[f14])).
% 105.47/13.66 fof(f16,plain,(
% 105.47/13.66 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 105.47/13.66 inference(miniscoping,[status(esa)],[f15])).
% 105.47/13.66 fof(f17,plain,(
% 105.47/13.66 (![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))))),
% 105.47/13.66 inference(skolemization,[status(esa)],[f16])).
% 105.47/13.66 fof(f18,plain,(
% 105.47/13.66 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 105.47/13.66 inference(cnf_transformation,[status(esa)],[f17])).
% 105.47/13.66 fof(f19,plain,(
% 105.47/13.66 ![X0,X1]: (subset(X0,X1)|member(sk0_0(X1,X0),X0))),
% 105.47/13.66 inference(cnf_transformation,[status(esa)],[f17])).
% 105.47/13.66 fof(f20,plain,(
% 105.47/13.66 ![X0,X1]: (subset(X0,X1)|~member(sk0_0(X1,X0),X1))),
% 105.47/13.66 inference(cnf_transformation,[status(esa)],[f17])).
% 105.47/13.66 fof(f21,plain,(
% 105.47/13.66 ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 105.47/13.66 inference(NNF_transformation,[status(esa)],[f2])).
% 105.47/13.66 fof(f22,plain,(
% 105.47/13.66 (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 105.47/13.66 inference(miniscoping,[status(esa)],[f21])).
% 105.47/13.66 fof(f23,plain,(
% 105.47/13.66 ![X0,X1]: (~equal_set(X0,X1)|subset(X0,X1))),
% 105.47/13.66 inference(cnf_transformation,[status(esa)],[f22])).
% 105.47/13.66 fof(f25,plain,(
% 105.47/13.66 ![X0,X1]: (equal_set(X0,X1)|~subset(X0,X1)|~subset(X1,X0))),
% 105.47/13.66 inference(cnf_transformation,[status(esa)],[f22])).
% 105.47/13.66 fof(f30,plain,(
% 105.47/13.66 ![X,A,B]: ((~member(X,intersection(A,B))|(member(X,A)&member(X,B)))&(member(X,intersection(A,B))|(~member(X,A)|~member(X,B))))),
% 105.47/13.66 inference(NNF_transformation,[status(esa)],[f4])).
% 105.47/13.66 fof(f31,plain,(
% 105.47/13.66 (![X,A,B]: (~member(X,intersection(A,B))|(member(X,A)&member(X,B))))&(![X,A,B]: (member(X,intersection(A,B))|(~member(X,A)|~member(X,B))))),
% 105.47/13.66 inference(miniscoping,[status(esa)],[f30])).
% 105.47/13.66 fof(f32,plain,(
% 105.47/13.66 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 105.47/13.66 inference(cnf_transformation,[status(esa)],[f31])).
% 105.47/13.66 fof(f33,plain,(
% 105.47/13.66 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 105.47/13.66 inference(cnf_transformation,[status(esa)],[f31])).
% 105.47/13.66 fof(f34,plain,(
% 105.47/13.66 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 105.47/13.66 inference(cnf_transformation,[status(esa)],[f31])).
% 105.47/13.66 fof(f35,plain,(
% 105.47/13.66 ![X,A,B]: ((~member(X,union(A,B))|(member(X,A)|member(X,B)))&(member(X,union(A,B))|(~member(X,A)&~member(X,B))))),
% 105.47/13.66 inference(NNF_transformation,[status(esa)],[f5])).
% 105.47/13.66 fof(f36,plain,(
% 105.47/13.66 (![X,A,B]: (~member(X,union(A,B))|(member(X,A)|member(X,B))))&(![X,A,B]: (member(X,union(A,B))|(~member(X,A)&~member(X,B))))),
% 105.47/13.66 inference(miniscoping,[status(esa)],[f35])).
% 105.47/13.67 fof(f37,plain,(
% 105.47/13.67 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 105.47/13.67 inference(cnf_transformation,[status(esa)],[f36])).
% 105.47/13.67 fof(f38,plain,(
% 105.47/13.67 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X1))),
% 105.47/13.67 inference(cnf_transformation,[status(esa)],[f36])).
% 105.47/13.67 fof(f39,plain,(
% 105.47/13.67 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 105.47/13.67 inference(cnf_transformation,[status(esa)],[f36])).
% 105.47/13.67 fof(f40,plain,(
% 105.47/13.67 ![X0]: (~member(X0,empty_set))),
% 105.47/13.67 inference(cnf_transformation,[status(esa)],[f6])).
% 105.47/13.67 fof(f68,plain,(
% 105.47/13.67 (?[A,B,C]: (equal_set(union(intersection(A,B),C),intersection(A,union(B,C)))<~>subset(C,A)))),
% 105.47/13.67 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 105.47/13.67 fof(f69,plain,(
% 105.47/13.67 ?[A,B,C]: ((equal_set(union(intersection(A,B),C),intersection(A,union(B,C)))|subset(C,A))&(~equal_set(union(intersection(A,B),C),intersection(A,union(B,C)))|~subset(C,A)))),
% 105.47/13.67 inference(NNF_transformation,[status(esa)],[f68])).
% 105.47/13.67 fof(f70,plain,(
% 105.47/13.67 ((equal_set(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5)))|subset(sk0_5,sk0_3))&(~equal_set(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5)))|~subset(sk0_5,sk0_3)))),
% 105.47/13.67 inference(skolemization,[status(esa)],[f69])).
% 105.47/13.67 fof(f71,plain,(
% 105.47/13.67 equal_set(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5)))|subset(sk0_5,sk0_3)),
% 105.47/13.67 inference(cnf_transformation,[status(esa)],[f70])).
% 105.47/13.67 fof(f72,plain,(
% 105.47/13.67 ~equal_set(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5)))|~subset(sk0_5,sk0_3)),
% 105.47/13.67 inference(cnf_transformation,[status(esa)],[f70])).
% 105.47/13.67 fof(f73,plain,(
% 105.47/13.67 spl0_0 <=> equal_set(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5)))),
% 105.47/13.67 introduced(split_symbol_definition)).
% 105.47/13.67 fof(f74,plain,(
% 105.47/13.67 equal_set(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5)))|~spl0_0),
% 105.47/13.67 inference(component_clause,[status(thm)],[f73])).
% 105.47/13.67 fof(f75,plain,(
% 105.47/13.67 ~equal_set(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5)))|spl0_0),
% 105.47/13.67 inference(component_clause,[status(thm)],[f73])).
% 105.47/13.67 fof(f76,plain,(
% 105.47/13.67 spl0_1 <=> subset(sk0_5,sk0_3)),
% 105.47/13.67 introduced(split_symbol_definition)).
% 105.47/13.67 fof(f77,plain,(
% 105.47/13.67 subset(sk0_5,sk0_3)|~spl0_1),
% 105.47/13.67 inference(component_clause,[status(thm)],[f76])).
% 105.47/13.67 fof(f79,plain,(
% 105.47/13.67 spl0_0|spl0_1),
% 105.47/13.67 inference(split_clause,[status(thm)],[f71,f73,f76])).
% 105.47/13.67 fof(f80,plain,(
% 105.47/13.67 ~spl0_0|~spl0_1),
% 105.47/13.67 inference(split_clause,[status(thm)],[f72,f73,f76])).
% 105.47/13.67 fof(f82,plain,(
% 105.47/13.67 ![X0,X1,X2,X3]: (~subset(union(X0,X1),X2)|member(X3,X2)|~member(X3,X1))),
% 105.47/13.67 inference(resolution,[status(thm)],[f18,f39])).
% 105.47/13.67 fof(f84,plain,(
% 105.47/13.67 ![X0,X1,X2,X3]: (~subset(X0,X1)|member(X2,X1)|~subset(X3,X0)|~member(X2,X3))),
% 105.47/13.67 inference(resolution,[status(thm)],[f18,f18])).
% 105.47/13.67 fof(f86,plain,(
% 105.47/13.67 ![X0,X1,X2,X3]: (~subset(X0,intersection(X1,X2))|~member(X3,X0)|member(X3,X1))),
% 105.47/13.67 inference(resolution,[status(thm)],[f18,f32])).
% 105.47/13.67 fof(f92,plain,(
% 105.47/13.67 ![X0,X1,X2,X3,X4,X5]: (~subset(X0,X1)|~subset(X2,X0)|~member(X3,X2)|~subset(X4,X5)|member(X3,X5)|~subset(X1,X4))),
% 105.47/13.67 inference(resolution,[status(thm)],[f84,f84])).
% 105.47/13.67 fof(f100,plain,(
% 105.47/13.67 ![X0,X1]: (~subset(X0,empty_set)|~member(X1,X0))),
% 105.47/13.67 inference(resolution,[status(thm)],[f40,f18])).
% 105.47/13.67 fof(f115,plain,(
% 105.47/13.67 ![X0]: (subset(empty_set,X0))),
% 105.47/13.67 inference(resolution,[status(thm)],[f19,f40])).
% 105.47/13.67 fof(f116,plain,(
% 105.47/13.67 ![X0,X1,X2]: (subset(union(X0,X1),X2)|member(sk0_0(X2,union(X0,X1)),X0)|member(sk0_0(X2,union(X0,X1)),X1))),
% 105.47/13.67 inference(resolution,[status(thm)],[f19,f37])).
% 105.47/13.67 fof(f117,plain,(
% 105.47/13.67 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(sk0_0(X2,intersection(X0,X1)),X1))),
% 105.47/13.67 inference(resolution,[status(thm)],[f19,f33])).
% 105.47/13.67 fof(f118,plain,(
% 105.47/13.67 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(sk0_0(X2,intersection(X0,X1)),X0))),
% 105.47/13.67 inference(resolution,[status(thm)],[f19,f32])).
% 105.47/13.67 fof(f120,plain,(
% 105.47/13.67 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|member(sk0_0(X1,X0),X2))),
% 105.47/13.67 inference(resolution,[status(thm)],[f19,f18])).
% 105.47/13.67 fof(f127,plain,(
% 105.47/13.67 ![X0]: (subset(X0,X0)|subset(X0,X0))),
% 105.47/13.67 inference(resolution,[status(thm)],[f20,f19])).
% 105.47/13.67 fof(f128,plain,(
% 105.47/13.67 ![X0]: (subset(X0,X0))),
% 105.47/13.67 inference(duplicate_literals_removal,[status(esa)],[f127])).
% 105.47/13.67 fof(f133,plain,(
% 105.47/13.67 ![X0,X1,X2]: (subset(X0,intersection(X1,X2))|~member(sk0_0(intersection(X1,X2),X0),X1)|~member(sk0_0(intersection(X1,X2),X0),X2))),
% 105.47/13.67 inference(resolution,[status(thm)],[f20,f34])).
% 105.47/13.67 fof(f134,plain,(
% 105.47/13.67 ![X0,X1,X2]: (subset(X0,union(X1,X2))|~member(sk0_0(union(X1,X2),X0),X2))),
% 105.47/13.67 inference(resolution,[status(thm)],[f20,f39])).
% 105.47/13.67 fof(f135,plain,(
% 105.47/13.67 ![X0,X1,X2]: (subset(X0,union(X1,X2))|~member(sk0_0(union(X1,X2),X0),X1))),
% 105.47/13.67 inference(resolution,[status(thm)],[f20,f38])).
% 105.47/13.67 fof(f137,plain,(
% 105.47/13.67 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,X1)|~member(sk0_0(X1,X0),X2))),
% 105.47/13.67 inference(resolution,[status(thm)],[f20,f18])).
% 105.47/13.67 fof(f165,plain,(
% 105.47/13.67 ![X0,X1]: (~subset(sk0_3,X0)|member(X1,X0)|~member(X1,sk0_5)|~spl0_1)),
% 105.47/13.67 inference(resolution,[status(thm)],[f77,f84])).
% 105.47/13.67 fof(f166,plain,(
% 105.47/13.67 spl0_2 <=> subset(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5)))),
% 105.47/13.67 introduced(split_symbol_definition)).
% 105.47/13.67 fof(f167,plain,(
% 105.47/13.67 subset(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5)))|~spl0_2),
% 105.47/13.67 inference(component_clause,[status(thm)],[f166])).
% 105.47/13.67 fof(f168,plain,(
% 105.47/13.67 ~subset(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5)))|spl0_2),
% 105.47/13.67 inference(component_clause,[status(thm)],[f166])).
% 105.47/13.67 fof(f169,plain,(
% 105.47/13.67 spl0_3 <=> subset(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5))),
% 105.47/13.67 introduced(split_symbol_definition)).
% 105.47/13.67 fof(f171,plain,(
% 105.47/13.67 ~subset(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5))|spl0_3),
% 105.47/13.67 inference(component_clause,[status(thm)],[f169])).
% 105.47/13.67 fof(f172,plain,(
% 105.47/13.67 ~subset(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5)))|~subset(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5))|spl0_0),
% 105.47/13.67 inference(resolution,[status(thm)],[f75,f25])).
% 105.47/13.67 fof(f173,plain,(
% 105.47/13.67 ~spl0_2|~spl0_3|spl0_0),
% 105.47/13.67 inference(split_clause,[status(thm)],[f172,f166,f169,f73])).
% 105.47/13.67 fof(f175,plain,(
% 105.47/13.67 subset(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5)))|~spl0_0),
% 105.47/13.67 inference(resolution,[status(thm)],[f74,f23])).
% 105.47/13.67 fof(f181,plain,(
% 105.47/13.67 ![X0]: (member(X0,intersection(sk0_3,union(sk0_4,sk0_5)))|~member(X0,sk0_5)|~spl0_0)),
% 105.47/13.67 inference(resolution,[status(thm)],[f175,f82])).
% 105.47/13.67 fof(f196,plain,(
% 105.47/13.67 ![X0]: (~member(X0,sk0_5)|member(X0,sk0_3)|~spl0_0)),
% 105.47/13.67 inference(resolution,[status(thm)],[f181,f32])).
% 105.47/13.67 fof(f199,plain,(
% 105.47/13.67 ![X0]: (member(sk0_0(X0,sk0_5),sk0_3)|subset(sk0_5,X0)|~spl0_0)),
% 105.47/13.67 inference(resolution,[status(thm)],[f196,f19])).
% 105.47/13.67 fof(f202,plain,(
% 105.47/13.67 subset(sk0_5,sk0_3)|subset(sk0_5,sk0_3)|~spl0_0),
% 105.47/13.67 inference(resolution,[status(thm)],[f199,f20])).
% 105.47/13.67 fof(f203,plain,(
% 105.47/13.67 spl0_1|~spl0_0),
% 105.47/13.67 inference(split_clause,[status(thm)],[f202,f76,f73])).
% 105.47/13.67 fof(f209,plain,(
% 105.47/13.67 ![X0,X1]: (~subset(sk0_3,X0)|member(sk0_0(X1,sk0_5),X0)|subset(sk0_5,X1)|~spl0_1)),
% 105.47/13.67 inference(resolution,[status(thm)],[f165,f19])).
% 105.47/13.67 fof(f212,plain,(
% 105.47/13.67 spl0_4 <=> ~subset(sk0_3,X0)|member(sk0_0(empty_set,sk0_5),X0)),
% 105.47/13.67 introduced(split_symbol_definition)).
% 105.47/13.67 fof(f213,plain,(
% 105.47/13.67 ![X0]: (~subset(sk0_3,X0)|member(sk0_0(empty_set,sk0_5),X0)|~spl0_4)),
% 105.47/13.67 inference(component_clause,[status(thm)],[f212])).
% 105.47/13.67 fof(f215,plain,(
% 105.47/13.67 spl0_5 <=> ~member(X1,sk0_5)),
% 105.47/13.67 introduced(split_symbol_definition)).
% 105.47/13.67 fof(f216,plain,(
% 105.47/13.67 ![X0]: (~member(X0,sk0_5)|~spl0_5)),
% 105.47/13.67 inference(component_clause,[status(thm)],[f215])).
% 105.47/13.67 fof(f218,plain,(
% 105.47/13.67 ![X0,X1]: (~subset(sk0_3,X0)|member(sk0_0(empty_set,sk0_5),X0)|~member(X1,sk0_5)|~spl0_1)),
% 105.47/13.67 inference(resolution,[status(thm)],[f209,f100])).
% 105.47/13.67 fof(f219,plain,(
% 105.47/13.67 spl0_4|spl0_5|~spl0_1),
% 105.47/13.67 inference(split_clause,[status(thm)],[f218,f212,f215,f76])).
% 105.47/13.67 fof(f227,plain,(
% 105.47/13.67 spl0_6 <=> subset(sk0_3,empty_set)),
% 105.47/13.67 introduced(split_symbol_definition)).
% 105.47/13.67 fof(f230,plain,(
% 105.47/13.67 spl0_7 <=> subset(sk0_5,empty_set)),
% 105.47/13.67 introduced(split_symbol_definition)).
% 105.47/13.67 fof(f231,plain,(
% 105.47/13.67 subset(sk0_5,empty_set)|~spl0_7),
% 105.47/13.67 inference(component_clause,[status(thm)],[f230])).
% 105.47/13.67 fof(f232,plain,(
% 105.47/13.67 ~subset(sk0_5,empty_set)|spl0_7),
% 105.47/13.67 inference(component_clause,[status(thm)],[f230])).
% 105.68/13.68 fof(f233,plain,(
% 105.68/13.68 ~subset(sk0_3,empty_set)|subset(sk0_5,empty_set)|~spl0_4),
% 105.68/13.68 inference(resolution,[status(thm)],[f213,f20])).
% 105.68/13.68 fof(f234,plain,(
% 105.68/13.68 ~spl0_6|spl0_7|~spl0_4),
% 105.68/13.68 inference(split_clause,[status(thm)],[f233,f227,f230,f212])).
% 105.68/13.68 fof(f298,plain,(
% 105.68/13.68 spl0_9 <=> member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),intersection(sk0_3,sk0_4))),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f299,plain,(
% 105.68/13.68 member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),intersection(sk0_3,sk0_4))|~spl0_9),
% 105.68/13.68 inference(component_clause,[status(thm)],[f298])).
% 105.68/13.68 fof(f301,plain,(
% 105.68/13.68 spl0_10 <=> member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),sk0_5)),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f302,plain,(
% 105.68/13.68 member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),sk0_5)|~spl0_10),
% 105.68/13.68 inference(component_clause,[status(thm)],[f301])).
% 105.68/13.68 fof(f304,plain,(
% 105.68/13.68 member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),intersection(sk0_3,sk0_4))|member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),sk0_5)|spl0_2),
% 105.68/13.68 inference(resolution,[status(thm)],[f116,f168])).
% 105.68/13.68 fof(f305,plain,(
% 105.68/13.68 spl0_9|spl0_10|spl0_2),
% 105.68/13.68 inference(split_clause,[status(thm)],[f304,f298,f301,f166])).
% 105.68/13.68 fof(f353,plain,(
% 105.68/13.68 member(sk0_0(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5))),union(sk0_4,sk0_5))|spl0_3),
% 105.68/13.68 inference(resolution,[status(thm)],[f117,f171])).
% 105.68/13.68 fof(f486,plain,(
% 105.68/13.68 member(sk0_0(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5))),sk0_3)|spl0_3),
% 105.68/13.68 inference(resolution,[status(thm)],[f118,f171])).
% 105.68/13.68 fof(f700,plain,(
% 105.68/13.68 member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),sk0_4)|~spl0_9),
% 105.68/13.68 inference(resolution,[status(thm)],[f299,f33])).
% 105.68/13.68 fof(f701,plain,(
% 105.68/13.68 member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),sk0_3)|~spl0_9),
% 105.68/13.68 inference(resolution,[status(thm)],[f299,f32])).
% 105.68/13.68 fof(f706,plain,(
% 105.68/13.68 ![X0]: (~member(X0,union(intersection(sk0_3,sk0_4),sk0_5))|member(X0,sk0_3)|~spl0_2)),
% 105.68/13.68 inference(resolution,[status(thm)],[f167,f86])).
% 105.68/13.68 fof(f727,plain,(
% 105.68/13.68 spl0_13 <=> member(sk0_0(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5))),sk0_4)),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f730,plain,(
% 105.68/13.68 spl0_14 <=> member(sk0_0(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5))),sk0_5)),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f731,plain,(
% 105.68/13.68 member(sk0_0(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5))),sk0_5)|~spl0_14),
% 105.68/13.68 inference(component_clause,[status(thm)],[f730])).
% 105.68/13.68 fof(f733,plain,(
% 105.68/13.68 member(sk0_0(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5))),sk0_4)|member(sk0_0(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5))),sk0_5)|spl0_3),
% 105.68/13.68 inference(resolution,[status(thm)],[f353,f37])).
% 105.68/13.68 fof(f734,plain,(
% 105.68/13.68 spl0_13|spl0_14|spl0_3),
% 105.68/13.68 inference(split_clause,[status(thm)],[f733,f727,f730,f169])).
% 105.68/13.68 fof(f739,plain,(
% 105.68/13.68 spl0_15 <=> member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),sk0_3)),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f741,plain,(
% 105.68/13.68 ~member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),sk0_3)|spl0_15),
% 105.68/13.68 inference(component_clause,[status(thm)],[f739])).
% 105.68/13.68 fof(f742,plain,(
% 105.68/13.68 spl0_16 <=> member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),union(sk0_4,sk0_5))),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f744,plain,(
% 105.68/13.68 ~member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),union(sk0_4,sk0_5))|spl0_16),
% 105.68/13.68 inference(component_clause,[status(thm)],[f742])).
% 105.68/13.68 fof(f745,plain,(
% 105.68/13.68 ~member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),sk0_3)|~member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),union(sk0_4,sk0_5))|spl0_2),
% 105.68/13.68 inference(resolution,[status(thm)],[f168,f133])).
% 105.68/13.68 fof(f746,plain,(
% 105.68/13.68 ~spl0_15|~spl0_16|spl0_2),
% 105.68/13.68 inference(split_clause,[status(thm)],[f745,f739,f742,f166])).
% 105.68/13.68 fof(f747,plain,(
% 105.68/13.68 $false|~spl0_9|spl0_15),
% 105.68/13.68 inference(forward_subsumption_resolution,[status(thm)],[f741,f701])).
% 105.68/13.68 fof(f748,plain,(
% 105.68/13.68 ~spl0_9|spl0_15),
% 105.68/13.68 inference(contradiction_clause,[status(thm)],[f747])).
% 105.68/13.68 fof(f794,plain,(
% 105.68/13.68 spl0_17 <=> subset(sk0_5,X0)),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f795,plain,(
% 105.68/13.68 ![X0]: (subset(sk0_5,X0)|~spl0_17)),
% 105.68/13.68 inference(component_clause,[status(thm)],[f794])).
% 105.68/13.68 fof(f799,plain,(
% 105.68/13.68 spl0_18 <=> ~subset(X0,sk0_5)|~member(X1,X0)),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f800,plain,(
% 105.68/13.68 ![X0,X1]: (~subset(X0,sk0_5)|~member(X1,X0)|~spl0_18)),
% 105.68/13.68 inference(component_clause,[status(thm)],[f799])).
% 105.68/13.68 fof(f810,plain,(
% 105.68/13.68 spl0_19 <=> subset(sk0_5,sk0_5)),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f812,plain,(
% 105.68/13.68 ~subset(sk0_5,sk0_5)|spl0_19),
% 105.68/13.68 inference(component_clause,[status(thm)],[f810])).
% 105.68/13.68 fof(f835,plain,(
% 105.68/13.68 spl0_21 <=> member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),sk0_4)),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f837,plain,(
% 105.68/13.68 ~member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),sk0_4)|spl0_21),
% 105.68/13.68 inference(component_clause,[status(thm)],[f835])).
% 105.68/13.68 fof(f842,plain,(
% 105.68/13.68 $false|spl0_21|~spl0_9),
% 105.68/13.68 inference(forward_subsumption_resolution,[status(thm)],[f700,f837])).
% 105.68/13.68 fof(f843,plain,(
% 105.68/13.68 spl0_21|~spl0_9),
% 105.68/13.68 inference(contradiction_clause,[status(thm)],[f842])).
% 105.68/13.68 fof(f870,plain,(
% 105.68/13.68 spl0_22 <=> ~subset(sk0_3,X0)|~subset(X0,empty_set)),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f873,plain,(
% 105.68/13.68 ![X0]: (~subset(sk0_3,X0)|subset(sk0_5,empty_set)|~subset(X0,empty_set)|~spl0_4)),
% 105.68/13.68 inference(resolution,[status(thm)],[f213,f137])).
% 105.68/13.68 fof(f874,plain,(
% 105.68/13.68 spl0_22|spl0_7|~spl0_4),
% 105.68/13.68 inference(split_clause,[status(thm)],[f873,f870,f230,f212])).
% 105.68/13.68 fof(f909,plain,(
% 105.68/13.68 ![X0]: (~member(X0,sk0_5)|~spl0_7)),
% 105.68/13.68 inference(resolution,[status(thm)],[f231,f100])).
% 105.68/13.68 fof(f910,plain,(
% 105.68/13.68 spl0_5|~spl0_7),
% 105.68/13.68 inference(split_clause,[status(thm)],[f909,f215,f230])).
% 105.68/13.68 fof(f1041,plain,(
% 105.68/13.68 spl0_24 <=> subset(union(intersection(sk0_3,sk0_4),sk0_5),sk0_3)),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f1043,plain,(
% 105.68/13.68 ~subset(union(intersection(sk0_3,sk0_4),sk0_5),sk0_3)|spl0_24),
% 105.68/13.68 inference(component_clause,[status(thm)],[f1041])).
% 105.68/13.68 fof(f1044,plain,(
% 105.68/13.68 subset(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5)))|~subset(union(intersection(sk0_3,sk0_4),sk0_5),sk0_3)|spl0_15),
% 105.68/13.68 inference(resolution,[status(thm)],[f741,f120])).
% 105.68/13.68 fof(f1045,plain,(
% 105.68/13.68 spl0_2|~spl0_24|spl0_15),
% 105.68/13.68 inference(split_clause,[status(thm)],[f1044,f166,f1041,f739])).
% 105.68/13.68 fof(f1046,plain,(
% 105.68/13.68 ![X0,X1]: (~subset(X0,sk0_3)|~subset(X1,X0)|~member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),X1)|spl0_15)),
% 105.68/13.68 inference(resolution,[status(thm)],[f741,f84])).
% 105.68/13.68 fof(f1516,plain,(
% 105.68/13.68 ~member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),sk0_5)|spl0_16),
% 105.68/13.68 inference(resolution,[status(thm)],[f744,f39])).
% 105.68/13.68 fof(f1517,plain,(
% 105.68/13.68 ~member(sk0_0(intersection(sk0_3,union(sk0_4,sk0_5)),union(intersection(sk0_3,sk0_4),sk0_5)),sk0_4)|spl0_16),
% 105.68/13.68 inference(resolution,[status(thm)],[f744,f38])).
% 105.68/13.68 fof(f1518,plain,(
% 105.68/13.68 ~spl0_21|spl0_16),
% 105.68/13.68 inference(split_clause,[status(thm)],[f1517,f835,f742])).
% 105.68/13.68 fof(f1541,plain,(
% 105.68/13.68 ~member(sk0_0(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5))),intersection(sk0_3,sk0_4))|spl0_3),
% 105.68/13.68 inference(resolution,[status(thm)],[f171,f135])).
% 105.68/13.68 fof(f1623,plain,(
% 105.68/13.68 ![X0]: (member(X0,sk0_3)|~member(X0,sk0_5)|~spl0_2)),
% 105.68/13.68 inference(resolution,[status(thm)],[f706,f39])).
% 105.68/13.68 fof(f1630,plain,(
% 105.68/13.68 ![X0]: (member(sk0_0(X0,sk0_5),sk0_3)|subset(sk0_5,X0)|~spl0_2)),
% 105.68/13.68 inference(resolution,[status(thm)],[f1623,f19])).
% 105.68/13.68 fof(f1729,plain,(
% 105.68/13.68 subset(sk0_5,sk0_3)|subset(sk0_5,sk0_3)|~spl0_2),
% 105.68/13.68 inference(resolution,[status(thm)],[f1630,f20])).
% 105.68/13.68 fof(f1730,plain,(
% 105.68/13.68 spl0_1|~spl0_2),
% 105.68/13.68 inference(split_clause,[status(thm)],[f1729,f76,f166])).
% 105.68/13.68 fof(f1732,plain,(
% 105.68/13.68 ~spl0_10|spl0_16),
% 105.68/13.68 inference(split_clause,[status(thm)],[f1516,f301,f742])).
% 105.68/13.68 fof(f1733,plain,(
% 105.68/13.68 $false|~spl0_17|spl0_7),
% 105.68/13.68 inference(backward_subsumption_resolution,[status(thm)],[f232,f795])).
% 105.68/13.68 fof(f1734,plain,(
% 105.68/13.68 ~spl0_17|spl0_7),
% 105.68/13.68 inference(contradiction_clause,[status(thm)],[f1733])).
% 105.68/13.68 fof(f1776,plain,(
% 105.68/13.68 ![X0]: (~member(X0,sk0_5)|~spl0_18)),
% 105.68/13.68 inference(resolution,[status(thm)],[f800,f128])).
% 105.68/13.68 fof(f1777,plain,(
% 105.68/13.68 spl0_5|~spl0_18),
% 105.68/13.68 inference(split_clause,[status(thm)],[f1776,f215,f799])).
% 105.68/13.68 fof(f2307,plain,(
% 105.68/13.68 spl0_30 <=> member(sk0_0(sk0_3,union(intersection(sk0_3,sk0_4),sk0_5)),intersection(sk0_3,sk0_4))),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f2308,plain,(
% 105.68/13.68 member(sk0_0(sk0_3,union(intersection(sk0_3,sk0_4),sk0_5)),intersection(sk0_3,sk0_4))|~spl0_30),
% 105.68/13.68 inference(component_clause,[status(thm)],[f2307])).
% 105.68/13.68 fof(f2310,plain,(
% 105.68/13.68 spl0_31 <=> member(sk0_0(sk0_3,union(intersection(sk0_3,sk0_4),sk0_5)),sk0_5)),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f2311,plain,(
% 105.68/13.68 member(sk0_0(sk0_3,union(intersection(sk0_3,sk0_4),sk0_5)),sk0_5)|~spl0_31),
% 105.68/13.68 inference(component_clause,[status(thm)],[f2310])).
% 105.68/13.68 fof(f2313,plain,(
% 105.68/13.68 member(sk0_0(sk0_3,union(intersection(sk0_3,sk0_4),sk0_5)),intersection(sk0_3,sk0_4))|member(sk0_0(sk0_3,union(intersection(sk0_3,sk0_4),sk0_5)),sk0_5)|spl0_24),
% 105.68/13.68 inference(resolution,[status(thm)],[f1043,f116])).
% 105.68/13.68 fof(f2314,plain,(
% 105.68/13.68 spl0_30|spl0_31|spl0_24),
% 105.68/13.68 inference(split_clause,[status(thm)],[f2313,f2307,f2310,f1041])).
% 105.68/13.68 fof(f2315,plain,(
% 105.68/13.68 spl0_32 <=> subset(intersection(sk0_3,sk0_4),sk0_3)),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f2317,plain,(
% 105.68/13.68 ~subset(intersection(sk0_3,sk0_4),sk0_3)|spl0_32),
% 105.68/13.68 inference(component_clause,[status(thm)],[f2315])).
% 105.68/13.68 fof(f2318,plain,(
% 105.68/13.68 subset(union(intersection(sk0_3,sk0_4),sk0_5),sk0_3)|~subset(intersection(sk0_3,sk0_4),sk0_3)|~spl0_30),
% 105.68/13.68 inference(resolution,[status(thm)],[f2308,f137])).
% 105.68/13.68 fof(f2319,plain,(
% 105.68/13.68 spl0_24|~spl0_32|~spl0_30),
% 105.68/13.68 inference(split_clause,[status(thm)],[f2318,f1041,f2315,f2307])).
% 105.68/13.68 fof(f2324,plain,(
% 105.68/13.68 member(sk0_0(sk0_3,intersection(sk0_3,sk0_4)),sk0_3)|spl0_32),
% 105.68/13.68 inference(resolution,[status(thm)],[f2317,f118])).
% 105.68/13.68 fof(f2360,plain,(
% 105.68/13.68 $false|~spl0_5|~spl0_31),
% 105.68/13.68 inference(backward_subsumption_resolution,[status(thm)],[f2311,f216])).
% 105.68/13.68 fof(f2361,plain,(
% 105.68/13.68 ~spl0_5|~spl0_31),
% 105.68/13.68 inference(contradiction_clause,[status(thm)],[f2360])).
% 105.68/13.68 fof(f3524,plain,(
% 105.68/13.68 spl0_35 <=> member(sk0_0(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5))),sk0_3)),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f3526,plain,(
% 105.68/13.68 ~member(sk0_0(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5))),sk0_3)|spl0_35),
% 105.68/13.68 inference(component_clause,[status(thm)],[f3524])).
% 105.68/13.68 fof(f3527,plain,(
% 105.68/13.68 ~member(sk0_0(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5))),sk0_3)|~member(sk0_0(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5))),sk0_4)|spl0_3),
% 105.68/13.68 inference(resolution,[status(thm)],[f1541,f34])).
% 105.68/13.68 fof(f3528,plain,(
% 105.68/13.68 ~spl0_35|~spl0_13|spl0_3),
% 105.68/13.68 inference(split_clause,[status(thm)],[f3527,f3524,f727,f169])).
% 105.68/13.68 fof(f3531,plain,(
% 105.68/13.68 $false|spl0_3|spl0_35),
% 105.68/13.68 inference(forward_subsumption_resolution,[status(thm)],[f3526,f486])).
% 105.68/13.68 fof(f3532,plain,(
% 105.68/13.68 spl0_3|spl0_35),
% 105.68/13.68 inference(contradiction_clause,[status(thm)],[f3531])).
% 105.68/13.68 fof(f3750,plain,(
% 105.68/13.68 spl0_38 <=> subset(sk0_3,sk0_3)),
% 105.68/13.68 introduced(split_symbol_definition)).
% 105.68/13.68 fof(f3752,plain,(
% 105.68/13.68 ~subset(sk0_3,sk0_3)|spl0_38),
% 105.68/13.68 inference(component_clause,[status(thm)],[f3750])).
% 105.68/13.68 fof(f3755,plain,(
% 105.68/13.68 subset(intersection(sk0_3,sk0_4),sk0_3)|spl0_32),
% 105.68/13.68 inference(resolution,[status(thm)],[f2324,f20])).
% 105.68/13.68 fof(f3756,plain,(
% 105.68/13.68 $false|spl0_32),
% 105.68/13.68 inference(forward_subsumption_resolution,[status(thm)],[f3755,f2317])).
% 105.68/13.68 fof(f3757,plain,(
% 105.68/13.68 spl0_32),
% 105.68/13.68 inference(contradiction_clause,[status(thm)],[f3756])).
% 105.68/13.68 fof(f3758,plain,(
% 105.68/13.68 $false|spl0_38),
% 105.68/13.68 inference(forward_subsumption_resolution,[status(thm)],[f3752,f128])).
% 105.68/13.68 fof(f3759,plain,(
% 105.68/13.68 spl0_38),
% 105.68/13.68 inference(contradiction_clause,[status(thm)],[f3758])).
% 105.68/13.70 fof(f3760,plain,(
% 105.68/13.70 ~member(sk0_0(union(intersection(sk0_3,sk0_4),sk0_5),intersection(sk0_3,union(sk0_4,sk0_5))),sk0_5)|spl0_3),
% 105.68/13.70 inference(resolution,[status(thm)],[f171,f134])).
% 105.68/13.70 fof(f3761,plain,(
% 105.68/13.70 $false|~spl0_14|spl0_3),
% 105.68/13.70 inference(forward_subsumption_resolution,[status(thm)],[f3760,f731])).
% 105.68/13.70 fof(f3762,plain,(
% 105.68/13.70 ~spl0_14|spl0_3),
% 105.68/13.70 inference(contradiction_clause,[status(thm)],[f3761])).
% 105.68/13.70 fof(f4860,plain,(
% 105.68/13.70 $false|spl0_19),
% 105.68/13.70 inference(forward_subsumption_resolution,[status(thm)],[f812,f128])).
% 105.68/13.70 fof(f4861,plain,(
% 105.68/13.70 spl0_19),
% 105.68/13.70 inference(contradiction_clause,[status(thm)],[f4860])).
% 105.68/13.70 fof(f5285,plain,(
% 105.68/13.70 spl0_72 <=> subset(empty_set,empty_set)),
% 105.68/13.70 introduced(split_symbol_definition)).
% 105.68/13.70 fof(f5287,plain,(
% 105.68/13.70 ~subset(empty_set,empty_set)|spl0_72),
% 105.68/13.70 inference(component_clause,[status(thm)],[f5285])).
% 105.68/13.70 fof(f5288,plain,(
% 105.68/13.70 spl0_73 <=> ~member(X0,empty_set)|member(X0,empty_set)),
% 105.68/13.70 introduced(split_symbol_definition)).
% 105.68/13.70 fof(f5291,plain,(
% 105.68/13.70 ![X0]: (~subset(empty_set,empty_set)|~member(X0,empty_set)|member(X0,empty_set))),
% 105.68/13.70 inference(resolution,[status(thm)],[f92,f115])).
% 105.68/13.70 fof(f5292,plain,(
% 105.68/13.70 ~spl0_72|spl0_73),
% 105.68/13.70 inference(split_clause,[status(thm)],[f5291,f5285,f5288])).
% 105.68/13.70 fof(f5710,plain,(
% 105.68/13.70 $false|spl0_72),
% 105.68/13.70 inference(forward_subsumption_resolution,[status(thm)],[f5287,f115])).
% 105.68/13.70 fof(f5711,plain,(
% 105.68/13.70 spl0_72),
% 105.68/13.70 inference(contradiction_clause,[status(thm)],[f5710])).
% 105.68/13.70 fof(f6564,plain,(
% 105.68/13.70 ![X0]: (~subset(X0,sk0_3)|~subset(sk0_5,X0)|spl0_15|~spl0_10)),
% 105.68/13.70 inference(resolution,[status(thm)],[f1046,f302])).
% 105.68/13.70 fof(f6614,plain,(
% 105.68/13.70 ~subset(sk0_5,sk0_3)|spl0_15|~spl0_10),
% 105.68/13.70 inference(resolution,[status(thm)],[f6564,f128])).
% 105.68/13.70 fof(f6615,plain,(
% 105.68/13.70 ~spl0_1|spl0_15|~spl0_10),
% 105.68/13.70 inference(split_clause,[status(thm)],[f6614,f76,f739,f301])).
% 105.68/13.70 fof(f6616,plain,(
% 105.68/13.70 $false),
% 105.68/13.70 inference(sat_refutation,[status(thm)],[f79,f80,f173,f203,f219,f234,f305,f734,f746,f748,f843,f874,f910,f1045,f1518,f1730,f1732,f1734,f1777,f2314,f2319,f2361,f3528,f3532,f3757,f3759,f3762,f4861,f5292,f5711,f6615])).
% 105.68/13.70 % SZS output end CNFRefutation for theBenchmark.p
% 107.17/14.42 % Elapsed time: 14.047161 seconds
% 107.17/14.42 % CPU time: 106.828184 seconds
% 107.17/14.42 % Total memory used: 657.196 MB
% 107.17/14.42 % Net memory used: 605.749 MB
%------------------------------------------------------------------------------