TSTP Solution File: SET637+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET637+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:34:53 EDT 2023
% Result : Theorem 0.15s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET637+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:33:58 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f1,axiom,(
% 0.15/0.40 (! [B,C,D] :( member(D,intersection(B,C))<=> ( member(D,B)& member(D,C) ) ) )),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f2,axiom,(
% 0.15/0.40 (! [B,C] :( intersect(B,C)<=> (? [D] :( member(D,B)& member(D,C) ) )) )),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f3,axiom,(
% 0.15/0.40 (! [B] : ~ member(B,empty_set) )),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f4,axiom,(
% 0.15/0.40 (! [B,C] :( B = C<=> (! [D] :( member(D,B)<=> member(D,C) ) )) )),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f5,axiom,(
% 0.15/0.40 (! [B,C] :( not_equal(B,C)<=> B != C ) )),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f6,axiom,(
% 0.15/0.40 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f7,axiom,(
% 0.15/0.40 (! [B,C] :( intersect(B,C)=> intersect(C,B) ) )),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f8,axiom,(
% 0.15/0.40 (! [B] :( empty(B)<=> (! [C] : ~ member(C,B) )) )),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f9,conjecture,(
% 0.15/0.40 (! [B,C] :( intersect(B,C)<=> not_equal(intersection(B,C),empty_set) ) )),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f10,negated_conjecture,(
% 0.15/0.40 ~((! [B,C] :( intersect(B,C)<=> not_equal(intersection(B,C),empty_set) ) ))),
% 0.15/0.40 inference(negated_conjecture,[status(cth)],[f9])).
% 0.15/0.40 fof(f11,plain,(
% 0.15/0.40 ![B,C,D]: ((~member(D,intersection(B,C))|(member(D,B)&member(D,C)))&(member(D,intersection(B,C))|(~member(D,B)|~member(D,C))))),
% 0.15/0.40 inference(NNF_transformation,[status(esa)],[f1])).
% 0.15/0.40 fof(f12,plain,(
% 0.15/0.40 (![B,C,D]: (~member(D,intersection(B,C))|(member(D,B)&member(D,C))))&(![B,C,D]: (member(D,intersection(B,C))|(~member(D,B)|~member(D,C))))),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f11])).
% 0.15/0.40 fof(f13,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.40 fof(f14,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.40 fof(f15,plain,(
% 0.15/0.40 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.40 fof(f16,plain,(
% 0.15/0.40 ![B,C]: ((~intersect(B,C)|(?[D]: (member(D,B)&member(D,C))))&(intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.15/0.40 inference(NNF_transformation,[status(esa)],[f2])).
% 0.15/0.40 fof(f17,plain,(
% 0.15/0.40 (![B,C]: (~intersect(B,C)|(?[D]: (member(D,B)&member(D,C)))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f16])).
% 0.15/0.40 fof(f18,plain,(
% 0.15/0.40 (![B,C]: (~intersect(B,C)|(member(sk0_0(C,B),B)&member(sk0_0(C,B),C))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.15/0.40 inference(skolemization,[status(esa)],[f17])).
% 0.15/0.40 fof(f19,plain,(
% 0.15/0.40 ![X0,X1]: (~intersect(X0,X1)|member(sk0_0(X1,X0),X0))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.40 fof(f20,plain,(
% 0.15/0.40 ![X0,X1]: (~intersect(X0,X1)|member(sk0_0(X1,X0),X1))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.40 fof(f21,plain,(
% 0.15/0.40 ![X0,X1,X2]: (intersect(X0,X1)|~member(X2,X0)|~member(X2,X1))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.40 fof(f22,plain,(
% 0.15/0.40 ![X0]: (~member(X0,empty_set))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.40 fof(f23,plain,(
% 0.15/0.40 ![B,C]: ((~B=C|(![D]: ((~member(D,B)|member(D,C))&(member(D,B)|~member(D,C)))))&(B=C|(?[D]: ((~member(D,B)|~member(D,C))&(member(D,B)|member(D,C))))))),
% 0.15/0.40 inference(NNF_transformation,[status(esa)],[f4])).
% 0.15/0.40 fof(f24,plain,(
% 0.15/0.40 (![B,C]: (~B=C|((![D]: (~member(D,B)|member(D,C)))&(![D]: (member(D,B)|~member(D,C))))))&(![B,C]: (B=C|(?[D]: ((~member(D,B)|~member(D,C))&(member(D,B)|member(D,C))))))),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f23])).
% 0.15/0.40 fof(f25,plain,(
% 0.15/0.40 (![B,C]: (~B=C|((![D]: (~member(D,B)|member(D,C)))&(![D]: (member(D,B)|~member(D,C))))))&(![B,C]: (B=C|((~member(sk0_1(C,B),B)|~member(sk0_1(C,B),C))&(member(sk0_1(C,B),B)|member(sk0_1(C,B),C)))))),
% 0.15/0.40 inference(skolemization,[status(esa)],[f24])).
% 0.15/0.40 fof(f29,plain,(
% 0.15/0.40 ![X0,X1]: (X0=X1|member(sk0_1(X1,X0),X0)|member(sk0_1(X1,X0),X1))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f25])).
% 0.15/0.40 fof(f30,plain,(
% 0.15/0.40 ![B,C]: ((~not_equal(B,C)|~B=C)&(not_equal(B,C)|B=C))),
% 0.15/0.40 inference(NNF_transformation,[status(esa)],[f5])).
% 0.15/0.40 fof(f31,plain,(
% 0.15/0.40 (![B,C]: (~not_equal(B,C)|~B=C))&(![B,C]: (not_equal(B,C)|B=C))),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f30])).
% 0.15/0.40 fof(f32,plain,(
% 0.15/0.40 ![X0,X1]: (~not_equal(X0,X1)|~X0=X1)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.40 fof(f33,plain,(
% 0.15/0.40 ![X0,X1]: (not_equal(X0,X1)|X0=X1)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.40 fof(f34,plain,(
% 0.15/0.40 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f6])).
% 0.15/0.40 fof(f35,plain,(
% 0.15/0.40 ![B,C]: (~intersect(B,C)|intersect(C,B))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.15/0.40 fof(f36,plain,(
% 0.15/0.40 ![X0,X1]: (~intersect(X0,X1)|intersect(X1,X0))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f35])).
% 0.15/0.40 fof(f37,plain,(
% 0.15/0.40 ![B]: ((~empty(B)|(![C]: ~member(C,B)))&(empty(B)|(?[C]: member(C,B))))),
% 0.15/0.40 inference(NNF_transformation,[status(esa)],[f8])).
% 0.15/0.40 fof(f38,plain,(
% 0.15/0.40 (![B]: (~empty(B)|(![C]: ~member(C,B))))&(![B]: (empty(B)|(?[C]: member(C,B))))),
% 0.15/0.40 inference(miniscoping,[status(esa)],[f37])).
% 0.15/0.40 fof(f39,plain,(
% 0.15/0.40 (![B]: (~empty(B)|(![C]: ~member(C,B))))&(![B]: (empty(B)|member(sk0_2(B),B)))),
% 0.15/0.40 inference(skolemization,[status(esa)],[f38])).
% 0.15/0.40 fof(f40,plain,(
% 0.15/0.40 ![X0,X1]: (~empty(X0)|~member(X1,X0))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f39])).
% 0.15/0.40 fof(f41,plain,(
% 0.15/0.40 ![X0]: (empty(X0)|member(sk0_2(X0),X0))),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f39])).
% 0.15/0.40 fof(f42,plain,(
% 0.15/0.40 (?[B,C]: (intersect(B,C)<~>not_equal(intersection(B,C),empty_set)))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.15/0.40 fof(f43,plain,(
% 0.15/0.40 ?[B,C]: ((intersect(B,C)|not_equal(intersection(B,C),empty_set))&(~intersect(B,C)|~not_equal(intersection(B,C),empty_set)))),
% 0.15/0.40 inference(NNF_transformation,[status(esa)],[f42])).
% 0.15/0.40 fof(f44,plain,(
% 0.15/0.40 ((intersect(sk0_3,sk0_4)|not_equal(intersection(sk0_3,sk0_4),empty_set))&(~intersect(sk0_3,sk0_4)|~not_equal(intersection(sk0_3,sk0_4),empty_set)))),
% 0.15/0.40 inference(skolemization,[status(esa)],[f43])).
% 0.15/0.40 fof(f45,plain,(
% 0.15/0.40 intersect(sk0_3,sk0_4)|not_equal(intersection(sk0_3,sk0_4),empty_set)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f44])).
% 0.15/0.40 fof(f46,plain,(
% 0.15/0.40 ~intersect(sk0_3,sk0_4)|~not_equal(intersection(sk0_3,sk0_4),empty_set)),
% 0.15/0.40 inference(cnf_transformation,[status(esa)],[f44])).
% 0.15/0.40 fof(f47,plain,(
% 0.15/0.40 spl0_0 <=> intersect(sk0_3,sk0_4)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f49,plain,(
% 0.15/0.40 ~intersect(sk0_3,sk0_4)|spl0_0),
% 0.15/0.40 inference(component_clause,[status(thm)],[f47])).
% 0.15/0.40 fof(f50,plain,(
% 0.15/0.40 spl0_1 <=> not_equal(intersection(sk0_3,sk0_4),empty_set)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f51,plain,(
% 0.15/0.40 not_equal(intersection(sk0_3,sk0_4),empty_set)|~spl0_1),
% 0.15/0.40 inference(component_clause,[status(thm)],[f50])).
% 0.15/0.40 fof(f52,plain,(
% 0.15/0.40 ~not_equal(intersection(sk0_3,sk0_4),empty_set)|spl0_1),
% 0.15/0.40 inference(component_clause,[status(thm)],[f50])).
% 0.15/0.40 fof(f53,plain,(
% 0.15/0.40 spl0_0|spl0_1),
% 0.15/0.40 inference(split_clause,[status(thm)],[f45,f47,f50])).
% 0.15/0.40 fof(f54,plain,(
% 0.15/0.40 ~spl0_0|~spl0_1),
% 0.15/0.40 inference(split_clause,[status(thm)],[f46,f47,f50])).
% 0.15/0.40 fof(f55,plain,(
% 0.15/0.40 ![X0]: (~not_equal(X0,X0))),
% 0.15/0.40 inference(destructive_equality_resolution,[status(esa)],[f32])).
% 0.15/0.40 fof(f62,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~empty(intersection(X0,X1))|~member(X2,X0)|~member(X2,X1))),
% 0.15/0.40 inference(resolution,[status(thm)],[f40,f15])).
% 0.15/0.40 fof(f65,plain,(
% 0.15/0.40 ![X0,X1]: (empty(intersection(X0,X1))|member(sk0_2(intersection(X0,X1)),X1))),
% 0.15/0.40 inference(resolution,[status(thm)],[f41,f14])).
% 0.15/0.40 fof(f66,plain,(
% 0.15/0.40 ![X0,X1]: (empty(intersection(X0,X1))|member(sk0_2(intersection(X0,X1)),X0))),
% 0.15/0.40 inference(resolution,[status(thm)],[f41,f13])).
% 0.15/0.40 fof(f67,plain,(
% 0.15/0.40 empty(empty_set)),
% 0.15/0.40 inference(resolution,[status(thm)],[f41,f22])).
% 0.15/0.40 fof(f68,plain,(
% 0.15/0.40 ![X0,X1,X2]: (empty(intersection(X0,intersection(X1,X2)))|member(sk0_2(intersection(X0,intersection(X1,X2))),X2))),
% 0.15/0.40 inference(resolution,[status(thm)],[f65,f14])).
% 0.15/0.40 fof(f70,plain,(
% 0.15/0.40 ![X0]: (empty(intersection(X0,empty_set)))),
% 0.15/0.40 inference(resolution,[status(thm)],[f65,f22])).
% 0.15/0.40 fof(f71,plain,(
% 0.15/0.40 ![X0,X1]: (empty(intersection(X0,X1))|~empty(X1))),
% 0.15/0.40 inference(resolution,[status(thm)],[f65,f40])).
% 0.15/0.40 fof(f75,plain,(
% 0.15/0.40 ![X0]: (empty(intersection(empty_set,X0)))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f34,f70])).
% 0.15/0.40 fof(f88,plain,(
% 0.15/0.40 ![X0,X1]: (empty(intersection(X0,intersection(X1,empty_set))))),
% 0.15/0.40 inference(resolution,[status(thm)],[f68,f22])).
% 0.15/0.40 fof(f89,plain,(
% 0.15/0.40 ![X0,X1,X2]: (empty(intersection(X0,intersection(X1,X2)))|~empty(X2))),
% 0.15/0.40 inference(resolution,[status(thm)],[f68,f40])).
% 0.15/0.40 fof(f103,plain,(
% 0.15/0.40 ![X0,X1]: (empty(intersection(X0,intersection(empty_set,X1))))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f34,f88])).
% 0.15/0.40 fof(f120,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~intersect(intersection(X0,X1),X2)|member(sk0_0(X2,intersection(X0,X1)),X1))),
% 0.15/0.40 inference(resolution,[status(thm)],[f19,f14])).
% 0.15/0.40 fof(f164,plain,(
% 0.15/0.40 ![X0]: (X0=empty_set|member(sk0_1(empty_set,X0),X0))),
% 0.15/0.40 inference(resolution,[status(thm)],[f29,f22])).
% 0.15/0.40 fof(f165,plain,(
% 0.15/0.40 ![X0,X1]: (X0=X1|member(sk0_1(X1,X0),X0)|~empty(X1))),
% 0.15/0.40 inference(resolution,[status(thm)],[f29,f40])).
% 0.15/0.40 fof(f171,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~intersect(intersection(X0,X1),X2)|~empty(X1))),
% 0.15/0.40 inference(resolution,[status(thm)],[f120,f40])).
% 0.15/0.40 fof(f174,plain,(
% 0.15/0.40 ![X0]: (~member(X0,sk0_3)|~member(X0,sk0_4)|spl0_0)),
% 0.15/0.40 inference(resolution,[status(thm)],[f49,f21])).
% 0.15/0.40 fof(f183,plain,(
% 0.15/0.40 ![X0]: (~member(sk0_2(intersection(sk0_4,X0)),sk0_3)|empty(intersection(sk0_4,X0))|spl0_0)),
% 0.15/0.40 inference(resolution,[status(thm)],[f174,f66])).
% 0.15/0.40 fof(f195,plain,(
% 0.15/0.40 intersection(sk0_3,sk0_4)=empty_set|spl0_1),
% 0.15/0.40 inference(resolution,[status(thm)],[f52,f33])).
% 0.15/0.40 fof(f199,plain,(
% 0.15/0.40 spl0_4 <=> empty(intersection(X0,empty_set))),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f204,plain,(
% 0.15/0.40 spl0_5 <=> empty(empty_set)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f206,plain,(
% 0.15/0.40 ~empty(empty_set)|spl0_5),
% 0.15/0.40 inference(component_clause,[status(thm)],[f204])).
% 0.15/0.40 fof(f229,plain,(
% 0.15/0.40 spl0_10 <=> ~member(X0,sk0_3)|~member(X0,sk0_4)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f230,plain,(
% 0.15/0.40 ![X0]: (~member(X0,sk0_3)|~member(X0,sk0_4)|~spl0_10)),
% 0.15/0.40 inference(component_clause,[status(thm)],[f229])).
% 0.15/0.40 fof(f232,plain,(
% 0.15/0.40 ![X0]: (~empty(empty_set)|~member(X0,sk0_3)|~member(X0,sk0_4)|spl0_1)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f195,f62])).
% 0.15/0.40 fof(f233,plain,(
% 0.15/0.40 ~spl0_5|spl0_10|spl0_1),
% 0.15/0.40 inference(split_clause,[status(thm)],[f232,f204,f229,f50])).
% 0.15/0.40 fof(f342,plain,(
% 0.15/0.40 spl0_12 <=> empty(intersection(sk0_4,sk0_3))),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f343,plain,(
% 0.15/0.40 empty(intersection(sk0_4,sk0_3))|~spl0_12),
% 0.15/0.40 inference(component_clause,[status(thm)],[f342])).
% 0.15/0.40 fof(f345,plain,(
% 0.15/0.40 empty(intersection(sk0_4,sk0_3))|empty(intersection(sk0_4,sk0_3))|spl0_0),
% 0.15/0.40 inference(resolution,[status(thm)],[f183,f65])).
% 0.15/0.40 fof(f346,plain,(
% 0.15/0.40 spl0_12|spl0_0),
% 0.15/0.40 inference(split_clause,[status(thm)],[f345,f342,f47])).
% 0.15/0.40 fof(f349,plain,(
% 0.15/0.40 $false|spl0_5),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f206,f67])).
% 0.15/0.40 fof(f350,plain,(
% 0.15/0.40 spl0_5),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f349])).
% 0.15/0.40 fof(f351,plain,(
% 0.15/0.40 empty(intersection(sk0_3,sk0_4))|~spl0_12),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f34,f343])).
% 0.15/0.40 fof(f379,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~empty(X0)|~intersect(X1,intersection(X2,X0)))),
% 0.15/0.40 inference(resolution,[status(thm)],[f171,f36])).
% 0.15/0.40 fof(f380,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~intersect(intersection(X0,X1),X2)|~empty(X0))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f34,f171])).
% 0.15/0.40 fof(f393,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~empty(X0)|~intersect(X1,intersection(X0,X2)))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f34,f379])).
% 0.15/0.40 fof(f403,plain,(
% 0.15/0.40 spl0_13 <=> empty_set=empty_set),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f423,plain,(
% 0.15/0.40 ![X0]: (X0=empty_set|~empty(X0))),
% 0.15/0.40 inference(resolution,[status(thm)],[f164,f40])).
% 0.15/0.40 fof(f426,plain,(
% 0.15/0.40 ![X0]: (intersection(empty_set,X0)=empty_set)),
% 0.15/0.40 inference(resolution,[status(thm)],[f423,f75])).
% 0.15/0.40 fof(f427,plain,(
% 0.15/0.40 ![X0,X1]: (intersection(X0,intersection(empty_set,X1))=empty_set)),
% 0.15/0.40 inference(resolution,[status(thm)],[f423,f103])).
% 0.15/0.40 fof(f428,plain,(
% 0.15/0.40 ![X0]: (intersection(X0,empty_set)=empty_set)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f426,f427])).
% 0.15/0.40 fof(f431,plain,(
% 0.15/0.40 ![X0,X1,X2]: (intersection(X0,intersection(X1,X2))=empty_set|~empty(X2))),
% 0.15/0.40 inference(resolution,[status(thm)],[f423,f89])).
% 0.15/0.40 fof(f434,plain,(
% 0.15/0.40 ![X0,X1]: (intersection(X0,X1)=empty_set|~empty(X1))),
% 0.15/0.40 inference(resolution,[status(thm)],[f423,f71])).
% 0.15/0.40 fof(f476,plain,(
% 0.15/0.40 spl0_19 <=> intersection(X0,empty_set)=empty_set),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f496,plain,(
% 0.15/0.40 spl0_20 <=> ~empty(X0)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f497,plain,(
% 0.15/0.40 ![X0]: (~empty(X0)|~spl0_20)),
% 0.15/0.40 inference(component_clause,[status(thm)],[f496])).
% 0.15/0.40 fof(f503,plain,(
% 0.15/0.40 spl0_21 <=> ~intersect(X0,empty_set)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f506,plain,(
% 0.15/0.40 ![X0]: (~empty(empty_set)|~intersect(X0,empty_set))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f426,f393])).
% 0.15/0.40 fof(f507,plain,(
% 0.15/0.40 ~spl0_5|spl0_21),
% 0.15/0.40 inference(split_clause,[status(thm)],[f506,f204,f503])).
% 0.15/0.40 fof(f508,plain,(
% 0.15/0.40 spl0_22 <=> ~intersect(empty_set,X0)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f511,plain,(
% 0.15/0.40 ![X0]: (~intersect(empty_set,X0)|~empty(empty_set))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f426,f380])).
% 0.15/0.40 fof(f512,plain,(
% 0.15/0.40 spl0_22|~spl0_5),
% 0.15/0.40 inference(split_clause,[status(thm)],[f511,f508,f204])).
% 0.15/0.40 fof(f541,plain,(
% 0.15/0.40 spl0_25 <=> ~member(X0,empty_set)|~member(X0,X1)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f544,plain,(
% 0.15/0.40 ![X0,X1]: (~empty(empty_set)|~member(X0,empty_set)|~member(X0,X1))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f426,f62])).
% 0.15/0.40 fof(f545,plain,(
% 0.15/0.40 ~spl0_5|spl0_25),
% 0.15/0.40 inference(split_clause,[status(thm)],[f544,f204,f541])).
% 0.15/0.40 fof(f554,plain,(
% 0.15/0.40 $false|~spl0_20),
% 0.15/0.40 inference(backward_subsumption_resolution,[status(thm)],[f67,f497])).
% 0.15/0.40 fof(f555,plain,(
% 0.15/0.40 ~spl0_20),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f554])).
% 0.15/0.40 fof(f617,plain,(
% 0.15/0.40 empty_set=empty_set|~empty(empty_set)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f428,f434])).
% 0.15/0.40 fof(f618,plain,(
% 0.15/0.40 spl0_13|~spl0_5),
% 0.15/0.40 inference(split_clause,[status(thm)],[f617,f403,f204])).
% 0.15/0.40 fof(f670,plain,(
% 0.15/0.40 ![X0]: (empty(intersection(X0,empty_set))|~empty(empty_set))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f428,f89])).
% 0.15/0.40 fof(f671,plain,(
% 0.15/0.40 spl0_4|~spl0_5),
% 0.15/0.40 inference(split_clause,[status(thm)],[f670,f199,f204])).
% 0.15/0.40 fof(f680,plain,(
% 0.15/0.40 ![X0]: (intersection(X0,empty_set)=empty_set|~empty(empty_set))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f428,f431])).
% 0.15/0.40 fof(f681,plain,(
% 0.15/0.40 spl0_19|~spl0_5),
% 0.15/0.40 inference(split_clause,[status(thm)],[f680,f476,f204])).
% 0.15/0.40 fof(f688,plain,(
% 0.15/0.40 ![X0,X1]: (X0=X1|~empty(X1)|~empty(X0))),
% 0.15/0.40 inference(resolution,[status(thm)],[f165,f40])).
% 0.15/0.40 fof(f690,plain,(
% 0.15/0.40 ![X0,X1,X2]: (X0=intersection(X1,X2)|~empty(X0)|~empty(X2))),
% 0.15/0.40 inference(resolution,[status(thm)],[f688,f71])).
% 0.15/0.40 fof(f695,plain,(
% 0.15/0.40 spl0_26 <=> X0=empty_set|~empty(X0)),
% 0.15/0.40 introduced(split_symbol_definition)).
% 0.15/0.40 fof(f700,plain,(
% 0.15/0.40 ![X0]: (X0=empty_set|~empty(X0)|~empty(empty_set))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f428,f690])).
% 0.15/0.40 fof(f701,plain,(
% 0.15/0.40 spl0_26|~spl0_5),
% 0.15/0.40 inference(split_clause,[status(thm)],[f700,f695,f204])).
% 0.15/0.40 fof(f768,plain,(
% 0.15/0.40 intersection(sk0_3,sk0_4)=empty_set|~spl0_12),
% 0.15/0.40 inference(resolution,[status(thm)],[f351,f423])).
% 0.15/0.40 fof(f769,plain,(
% 0.15/0.40 not_equal(empty_set,empty_set)|~spl0_12|~spl0_1),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f768,f51])).
% 0.15/0.40 fof(f770,plain,(
% 0.15/0.40 $false|~spl0_12|~spl0_1),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f769,f55])).
% 0.15/0.40 fof(f771,plain,(
% 0.15/0.40 ~spl0_12|~spl0_1),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f770])).
% 0.15/0.40 fof(f836,plain,(
% 0.15/0.40 ![X0]: (~member(sk0_0(sk0_4,X0),sk0_3)|~intersect(X0,sk0_4)|~spl0_10)),
% 0.15/0.40 inference(resolution,[status(thm)],[f230,f20])).
% 0.15/0.40 fof(f842,plain,(
% 0.15/0.40 ~intersect(sk0_3,sk0_4)|~intersect(sk0_3,sk0_4)|~spl0_10),
% 0.15/0.40 inference(resolution,[status(thm)],[f836,f19])).
% 0.15/0.40 fof(f843,plain,(
% 0.15/0.40 ~spl0_0|~spl0_10),
% 0.15/0.40 inference(split_clause,[status(thm)],[f842,f47,f229])).
% 0.15/0.40 fof(f844,plain,(
% 0.15/0.40 $false),
% 0.15/0.40 inference(sat_refutation,[status(thm)],[f53,f54,f233,f346,f350,f507,f512,f545,f555,f618,f671,f681,f701,f771,f843])).
% 0.15/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.102128 seconds
% 0.15/0.42 % CPU time: 0.367519 seconds
% 0.15/0.42 % Memory used: 50.088 MB
%------------------------------------------------------------------------------