TSTP Solution File: SET611+3 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET611+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:39:58 EDT 2024
% Result : Theorem 0.18s 0.43s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET611+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 21:59:29 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.18/0.43 % Refutation found
% 0.18/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.43 fof(f1,axiom,(
% 0.18/0.43 (! [B,C] :( (! [D] :( member(D,B)<=> member(D,C) ))=> B = C ) )),
% 0.18/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.43 fof(f2,axiom,(
% 0.18/0.43 (! [B,C,D] :( member(D,intersection(B,C))<=> ( member(D,B)& member(D,C) ) ) )),
% 0.18/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.43 fof(f3,axiom,(
% 0.18/0.43 (! [B,C,D] :( member(D,difference(B,C))<=> ( member(D,B)& ~ member(D,C) ) ) )),
% 0.18/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.43 fof(f4,axiom,(
% 0.18/0.43 (! [B] : ~ member(B,empty_set) )),
% 0.18/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.43 fof(f5,axiom,(
% 0.18/0.43 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.18/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.43 fof(f6,axiom,(
% 0.18/0.43 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 0.18/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.43 fof(f8,axiom,(
% 0.18/0.43 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.18/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.43 fof(f10,axiom,(
% 0.18/0.43 (! [B] :( empty(B)<=> (! [C] : ~ member(C,B) )) )),
% 0.18/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.43 fof(f11,conjecture,(
% 0.18/0.43 (! [B,C] :( intersection(B,C) = empty_set<=> difference(B,C) = B ) )),
% 0.18/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.43 fof(f12,negated_conjecture,(
% 0.18/0.43 ~((! [B,C] :( intersection(B,C) = empty_set<=> difference(B,C) = B ) ))),
% 0.18/0.43 inference(negated_conjecture,[status(cth)],[f11])).
% 0.18/0.43 fof(f13,plain,(
% 0.18/0.43 ![B,C]: ((?[D]: (member(D,B)<~>member(D,C)))|B=C)),
% 0.18/0.43 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.18/0.43 fof(f14,plain,(
% 0.18/0.43 ![B,C]: ((?[D]: ((member(D,B)|member(D,C))&(~member(D,B)|~member(D,C))))|B=C)),
% 0.18/0.43 inference(NNF_transformation,[status(esa)],[f13])).
% 0.18/0.43 fof(f15,plain,(
% 0.18/0.43 ![B,C]: (((member(sk0_0(C,B),B)|member(sk0_0(C,B),C))&(~member(sk0_0(C,B),B)|~member(sk0_0(C,B),C)))|B=C)),
% 0.18/0.43 inference(skolemization,[status(esa)],[f14])).
% 0.18/0.43 fof(f16,plain,(
% 0.18/0.43 ![X0,X1]: (member(sk0_0(X0,X1),X1)|member(sk0_0(X0,X1),X0)|X1=X0)),
% 0.18/0.43 inference(cnf_transformation,[status(esa)],[f15])).
% 0.18/0.43 fof(f17,plain,(
% 0.18/0.43 ![X0,X1]: (~member(sk0_0(X0,X1),X1)|~member(sk0_0(X0,X1),X0)|X1=X0)),
% 0.18/0.43 inference(cnf_transformation,[status(esa)],[f15])).
% 0.18/0.43 fof(f18,plain,(
% 0.18/0.43 ![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))))),
% 0.18/0.43 inference(NNF_transformation,[status(esa)],[f2])).
% 0.18/0.43 fof(f19,plain,(
% 0.18/0.43 (![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))))),
% 0.18/0.43 inference(miniscoping,[status(esa)],[f18])).
% 0.18/0.43 fof(f20,plain,(
% 0.18/0.43 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.18/0.43 inference(cnf_transformation,[status(esa)],[f19])).
% 0.18/0.43 fof(f21,plain,(
% 0.18/0.43 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.18/0.43 inference(cnf_transformation,[status(esa)],[f19])).
% 0.18/0.43 fof(f22,plain,(
% 0.18/0.43 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 0.18/0.43 inference(cnf_transformation,[status(esa)],[f19])).
% 0.18/0.43 fof(f23,plain,(
% 0.18/0.43 ![B,C,D]: ((~member(D,difference(B,C))|(member(D,B)&~member(D,C)))&(member(D,difference(B,C))|(~member(D,B)|member(D,C))))),
% 0.18/0.43 inference(NNF_transformation,[status(esa)],[f3])).
% 0.18/0.43 fof(f24,plain,(
% 0.18/0.43 (![B,C,D]: (~member(D,difference(B,C))|(member(D,B)&~member(D,C))))&(![B,C,D]: (member(D,difference(B,C))|(~member(D,B)|member(D,C))))),
% 0.18/0.43 inference(miniscoping,[status(esa)],[f23])).
% 0.18/0.43 fof(f25,plain,(
% 0.18/0.43 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 0.18/0.43 inference(cnf_transformation,[status(esa)],[f24])).
% 0.18/0.43 fof(f26,plain,(
% 0.18/0.43 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 0.18/0.43 inference(cnf_transformation,[status(esa)],[f24])).
% 0.18/0.43 fof(f27,plain,(
% 0.18/0.43 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 0.18/0.43 inference(cnf_transformation,[status(esa)],[f24])).
% 0.18/0.43 fof(f28,plain,(
% 0.18/0.43 ![X0]: (~member(X0,empty_set))),
% 0.18/0.43 inference(cnf_transformation,[status(esa)],[f4])).
% 0.18/0.43 fof(f29,plain,(
% 0.18/0.43 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.18/0.44 inference(NNF_transformation,[status(esa)],[f5])).
% 0.18/0.44 fof(f30,plain,(
% 0.18/0.44 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.18/0.44 inference(miniscoping,[status(esa)],[f29])).
% 0.18/0.44 fof(f33,plain,(
% 0.18/0.44 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.18/0.44 inference(cnf_transformation,[status(esa)],[f30])).
% 0.18/0.44 fof(f34,plain,(
% 0.18/0.44 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 0.18/0.44 inference(cnf_transformation,[status(esa)],[f6])).
% 0.18/0.44 fof(f42,plain,(
% 0.18/0.44 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.18/0.44 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.18/0.44 fof(f43,plain,(
% 0.18/0.44 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.18/0.44 inference(NNF_transformation,[status(esa)],[f42])).
% 0.18/0.44 fof(f44,plain,(
% 0.18/0.44 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.18/0.44 inference(miniscoping,[status(esa)],[f43])).
% 0.18/0.44 fof(f45,plain,(
% 0.18/0.44 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(member(sk0_2(C,B),B)&~member(sk0_2(C,B),C))))),
% 0.18/0.44 inference(skolemization,[status(esa)],[f44])).
% 0.18/0.44 fof(f47,plain,(
% 0.18/0.44 ![X0,X1]: (subset(X0,X1)|member(sk0_2(X1,X0),X0))),
% 0.18/0.44 inference(cnf_transformation,[status(esa)],[f45])).
% 0.18/0.44 fof(f48,plain,(
% 0.18/0.44 ![X0,X1]: (subset(X0,X1)|~member(sk0_2(X1,X0),X1))),
% 0.18/0.44 inference(cnf_transformation,[status(esa)],[f45])).
% 0.18/0.44 fof(f50,plain,(
% 0.18/0.44 ![B]: ((~empty(B)|(![C]: ~member(C,B)))&(empty(B)|(?[C]: member(C,B))))),
% 0.18/0.44 inference(NNF_transformation,[status(esa)],[f10])).
% 0.18/0.44 fof(f51,plain,(
% 0.18/0.44 (![B]: (~empty(B)|(![C]: ~member(C,B))))&(![B]: (empty(B)|(?[C]: member(C,B))))),
% 0.18/0.44 inference(miniscoping,[status(esa)],[f50])).
% 0.18/0.44 fof(f52,plain,(
% 0.18/0.44 (![B]: (~empty(B)|(![C]: ~member(C,B))))&(![B]: (empty(B)|member(sk0_3(B),B)))),
% 0.18/0.44 inference(skolemization,[status(esa)],[f51])).
% 0.18/0.44 fof(f53,plain,(
% 0.18/0.44 ![X0,X1]: (~empty(X0)|~member(X1,X0))),
% 0.18/0.44 inference(cnf_transformation,[status(esa)],[f52])).
% 0.18/0.44 fof(f54,plain,(
% 0.18/0.44 ![X0]: (empty(X0)|member(sk0_3(X0),X0))),
% 0.18/0.44 inference(cnf_transformation,[status(esa)],[f52])).
% 0.18/0.44 fof(f55,plain,(
% 0.18/0.44 (?[B,C]: (intersection(B,C)=empty_set<~>difference(B,C)=B))),
% 0.18/0.44 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.18/0.44 fof(f56,plain,(
% 0.18/0.44 ?[B,C]: ((intersection(B,C)=empty_set|difference(B,C)=B)&(~intersection(B,C)=empty_set|~difference(B,C)=B))),
% 0.18/0.44 inference(NNF_transformation,[status(esa)],[f55])).
% 0.18/0.44 fof(f57,plain,(
% 0.18/0.44 ((intersection(sk0_4,sk0_5)=empty_set|difference(sk0_4,sk0_5)=sk0_4)&(~intersection(sk0_4,sk0_5)=empty_set|~difference(sk0_4,sk0_5)=sk0_4))),
% 0.18/0.44 inference(skolemization,[status(esa)],[f56])).
% 0.18/0.44 fof(f58,plain,(
% 0.18/0.44 intersection(sk0_4,sk0_5)=empty_set|difference(sk0_4,sk0_5)=sk0_4),
% 0.18/0.44 inference(cnf_transformation,[status(esa)],[f57])).
% 0.18/0.44 fof(f59,plain,(
% 0.18/0.44 ~intersection(sk0_4,sk0_5)=empty_set|~difference(sk0_4,sk0_5)=sk0_4),
% 0.18/0.44 inference(cnf_transformation,[status(esa)],[f57])).
% 0.18/0.44 fof(f60,plain,(
% 0.18/0.44 spl0_0 <=> intersection(sk0_4,sk0_5)=empty_set),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f61,plain,(
% 0.18/0.44 intersection(sk0_4,sk0_5)=empty_set|~spl0_0),
% 0.18/0.44 inference(component_clause,[status(thm)],[f60])).
% 0.18/0.44 fof(f63,plain,(
% 0.18/0.44 spl0_1 <=> difference(sk0_4,sk0_5)=sk0_4),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f64,plain,(
% 0.18/0.44 difference(sk0_4,sk0_5)=sk0_4|~spl0_1),
% 0.18/0.44 inference(component_clause,[status(thm)],[f63])).
% 0.18/0.44 fof(f66,plain,(
% 0.18/0.44 spl0_0|spl0_1),
% 0.18/0.44 inference(split_clause,[status(thm)],[f58,f60,f63])).
% 0.18/0.44 fof(f67,plain,(
% 0.18/0.44 ~spl0_0|~spl0_1),
% 0.18/0.44 inference(split_clause,[status(thm)],[f59,f60,f63])).
% 0.18/0.44 fof(f76,plain,(
% 0.18/0.44 ![X0,X1,X2]: (~empty(difference(X0,X1))|~member(X2,X0)|member(X2,X1))),
% 0.18/0.44 inference(resolution,[status(thm)],[f53,f27])).
% 0.18/0.44 fof(f77,plain,(
% 0.18/0.44 ![X0,X1,X2]: (~empty(intersection(X0,X1))|~member(X2,X0)|~member(X2,X1))),
% 0.18/0.44 inference(resolution,[status(thm)],[f53,f22])).
% 0.18/0.44 fof(f81,plain,(
% 0.18/0.44 ![X0,X1,X2]: (member(sk0_0(X0,difference(X1,X2)),X0)|difference(X1,X2)=X0|member(sk0_0(X0,difference(X1,X2)),X1))),
% 0.18/0.44 inference(resolution,[status(thm)],[f16,f25])).
% 0.18/0.44 fof(f88,plain,(
% 0.18/0.44 ![X0,X1]: (empty(difference(X0,X1))|~member(sk0_3(difference(X0,X1)),X1))),
% 0.18/0.44 inference(resolution,[status(thm)],[f54,f26])).
% 0.18/0.44 fof(f89,plain,(
% 0.18/0.44 ![X0,X1]: (empty(difference(X0,X1))|member(sk0_3(difference(X0,X1)),X0))),
% 0.18/0.44 inference(resolution,[status(thm)],[f54,f25])).
% 0.18/0.44 fof(f90,plain,(
% 0.18/0.44 ![X0,X1]: (empty(intersection(X0,X1))|member(sk0_3(intersection(X0,X1)),X1))),
% 0.18/0.44 inference(resolution,[status(thm)],[f54,f21])).
% 0.18/0.44 fof(f91,plain,(
% 0.18/0.44 ![X0,X1]: (empty(intersection(X0,X1))|member(sk0_3(intersection(X0,X1)),X0))),
% 0.18/0.44 inference(resolution,[status(thm)],[f54,f20])).
% 0.18/0.44 fof(f92,plain,(
% 0.18/0.44 empty(empty_set)),
% 0.18/0.44 inference(resolution,[status(thm)],[f54,f28])).
% 0.18/0.44 fof(f94,plain,(
% 0.18/0.44 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|member(sk0_2(X2,difference(X0,X1)),X0))),
% 0.18/0.44 inference(resolution,[status(thm)],[f47,f25])).
% 0.18/0.44 fof(f95,plain,(
% 0.18/0.44 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(sk0_2(X2,intersection(X0,X1)),X1))),
% 0.18/0.44 inference(resolution,[status(thm)],[f47,f21])).
% 0.18/0.44 fof(f97,plain,(
% 0.18/0.44 ![X0]: (subset(empty_set,X0))),
% 0.18/0.44 inference(resolution,[status(thm)],[f47,f28])).
% 0.18/0.44 fof(f98,plain,(
% 0.18/0.44 ![X0,X1]: (subset(X0,X1)|~empty(X0))),
% 0.18/0.44 inference(resolution,[status(thm)],[f47,f53])).
% 0.18/0.44 fof(f99,plain,(
% 0.18/0.44 ![X0]: (X0=empty_set|~subset(X0,empty_set))),
% 0.18/0.44 inference(resolution,[status(thm)],[f97,f33])).
% 0.18/0.44 fof(f100,plain,(
% 0.18/0.44 ![X0,X1]: (~empty(X0)|X1=X0|~subset(X1,X0))),
% 0.18/0.44 inference(resolution,[status(thm)],[f98,f33])).
% 0.18/0.44 fof(f101,plain,(
% 0.18/0.44 ![X0]: (X0=empty_set|~empty(X0))),
% 0.18/0.44 inference(resolution,[status(thm)],[f99,f98])).
% 0.18/0.44 fof(f103,plain,(
% 0.18/0.44 ![X0,X1]: (~empty(X0)|X1=X0|~empty(X1))),
% 0.18/0.44 inference(resolution,[status(thm)],[f100,f98])).
% 0.18/0.44 fof(f129,plain,(
% 0.18/0.44 spl0_3 <=> empty_set=empty_set),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f134,plain,(
% 0.18/0.44 ![X0,X1,X2]: (~member(sk0_0(X0,difference(X1,X2)),X0)|difference(X1,X2)=X0|~member(sk0_0(X0,difference(X1,X2)),X1)|member(sk0_0(X0,difference(X1,X2)),X2))),
% 0.18/0.44 inference(resolution,[status(thm)],[f17,f27])).
% 0.18/0.44 fof(f144,plain,(
% 0.18/0.44 spl0_4 <=> empty(empty_set)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f146,plain,(
% 0.18/0.44 ~empty(empty_set)|spl0_4),
% 0.18/0.44 inference(component_clause,[status(thm)],[f144])).
% 0.18/0.44 fof(f147,plain,(
% 0.18/0.44 spl0_5 <=> ~member(X0,sk0_4)|~member(X0,sk0_5)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f148,plain,(
% 0.18/0.44 ![X0]: (~member(X0,sk0_4)|~member(X0,sk0_5)|~spl0_5)),
% 0.18/0.44 inference(component_clause,[status(thm)],[f147])).
% 0.18/0.44 fof(f150,plain,(
% 0.18/0.44 ![X0]: (~empty(empty_set)|~member(X0,sk0_4)|~member(X0,sk0_5)|~spl0_0)),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f61,f77])).
% 0.18/0.44 fof(f151,plain,(
% 0.18/0.44 ~spl0_4|spl0_5|~spl0_0),
% 0.18/0.44 inference(split_clause,[status(thm)],[f150,f144,f147,f60])).
% 0.18/0.44 fof(f156,plain,(
% 0.18/0.44 $false|spl0_4),
% 0.18/0.44 inference(forward_subsumption_resolution,[status(thm)],[f146,f92])).
% 0.18/0.44 fof(f157,plain,(
% 0.18/0.44 spl0_4),
% 0.18/0.44 inference(contradiction_clause,[status(thm)],[f156])).
% 0.18/0.44 fof(f177,plain,(
% 0.18/0.44 ![X0]: (~member(X0,sk0_4)|~member(X0,sk0_5)|~spl0_1)),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f64,f26])).
% 0.18/0.44 fof(f283,plain,(
% 0.18/0.44 ![X0]: (empty(difference(X0,X0))|empty(difference(X0,X0)))),
% 0.18/0.44 inference(resolution,[status(thm)],[f89,f88])).
% 0.18/0.44 fof(f284,plain,(
% 0.18/0.44 ![X0]: (empty(difference(X0,X0)))),
% 0.18/0.44 inference(duplicate_literals_removal,[status(esa)],[f283])).
% 0.18/0.44 fof(f290,plain,(
% 0.18/0.44 ![X0]: (empty(difference(empty_set,X0)))),
% 0.18/0.44 inference(resolution,[status(thm)],[f89,f28])).
% 0.18/0.44 fof(f291,plain,(
% 0.18/0.44 ![X0,X1]: (empty(difference(X0,X1))|~empty(X0))),
% 0.18/0.44 inference(resolution,[status(thm)],[f89,f53])).
% 0.18/0.44 fof(f305,plain,(
% 0.18/0.44 ![X0]: (difference(X0,X0)=empty_set)),
% 0.18/0.44 inference(resolution,[status(thm)],[f284,f101])).
% 0.18/0.44 fof(f314,plain,(
% 0.18/0.44 spl0_20 <=> ~member(X0,X1)|member(X0,X1)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f317,plain,(
% 0.18/0.44 ![X0,X1]: (~empty(empty_set)|~member(X0,X1)|member(X0,X1))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f305,f76])).
% 0.18/0.44 fof(f318,plain,(
% 0.18/0.44 ~spl0_4|spl0_20),
% 0.18/0.44 inference(split_clause,[status(thm)],[f317,f144,f314])).
% 0.18/0.44 fof(f323,plain,(
% 0.18/0.44 ![X0]: (difference(empty_set,X0)=empty_set)),
% 0.18/0.44 inference(resolution,[status(thm)],[f290,f101])).
% 0.18/0.44 fof(f350,plain,(
% 0.18/0.44 spl0_21 <=> empty(difference(empty_set,X0))),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f353,plain,(
% 0.18/0.44 spl0_22 <=> member(sk0_3(empty_set),empty_set)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f354,plain,(
% 0.18/0.44 member(sk0_3(empty_set),empty_set)|~spl0_22),
% 0.18/0.44 inference(component_clause,[status(thm)],[f353])).
% 0.18/0.44 fof(f356,plain,(
% 0.18/0.44 ![X0]: (empty(difference(empty_set,X0))|member(sk0_3(empty_set),empty_set))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f323,f89])).
% 0.18/0.44 fof(f357,plain,(
% 0.18/0.44 spl0_21|spl0_22),
% 0.18/0.44 inference(split_clause,[status(thm)],[f356,f350,f353])).
% 0.18/0.44 fof(f363,plain,(
% 0.18/0.44 spl0_23 <=> ~member(X0,empty_set)|member(X0,X1)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f366,plain,(
% 0.18/0.44 ![X0,X1]: (~empty(empty_set)|~member(X0,empty_set)|member(X0,X1))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f323,f76])).
% 0.18/0.44 fof(f367,plain,(
% 0.18/0.44 ~spl0_4|spl0_23),
% 0.18/0.44 inference(split_clause,[status(thm)],[f366,f144,f363])).
% 0.18/0.44 fof(f372,plain,(
% 0.18/0.44 ![X0,X1,X2]: (~empty(X0)|~empty(X1)|difference(X0,X2)=X1)),
% 0.18/0.44 inference(resolution,[status(thm)],[f291,f103])).
% 0.18/0.44 fof(f373,plain,(
% 0.18/0.44 ![X0,X1]: (~empty(X0)|difference(X0,X1)=empty_set)),
% 0.18/0.44 inference(resolution,[status(thm)],[f291,f101])).
% 0.18/0.44 fof(f384,plain,(
% 0.18/0.44 ~empty(empty_set)|empty_set=empty_set),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f323,f373])).
% 0.18/0.44 fof(f385,plain,(
% 0.18/0.44 ~spl0_4|spl0_3),
% 0.18/0.44 inference(split_clause,[status(thm)],[f384,f144,f129])).
% 0.18/0.44 fof(f393,plain,(
% 0.18/0.44 spl0_26 <=> ~empty(X0)|empty_set=X0),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f396,plain,(
% 0.18/0.44 ![X0]: (~empty(empty_set)|~empty(X0)|empty_set=X0)),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f323,f372])).
% 0.18/0.44 fof(f397,plain,(
% 0.18/0.44 ~spl0_4|spl0_26),
% 0.18/0.44 inference(split_clause,[status(thm)],[f396,f144,f393])).
% 0.18/0.44 fof(f405,plain,(
% 0.18/0.44 ![X0]: (empty(intersection(X0,sk0_5))|~member(sk0_3(intersection(X0,sk0_5)),sk0_4)|~spl0_1)),
% 0.18/0.44 inference(resolution,[status(thm)],[f90,f177])).
% 0.18/0.44 fof(f410,plain,(
% 0.18/0.44 ![X0]: (empty(intersection(X0,empty_set)))),
% 0.18/0.44 inference(resolution,[status(thm)],[f90,f28])).
% 0.18/0.44 fof(f416,plain,(
% 0.18/0.44 ![X0]: (intersection(X0,empty_set)=empty_set)),
% 0.18/0.44 inference(resolution,[status(thm)],[f410,f101])).
% 0.18/0.44 fof(f420,plain,(
% 0.18/0.44 ![X0]: (intersection(empty_set,X0)=empty_set)),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f34,f416])).
% 0.18/0.44 fof(f422,plain,(
% 0.18/0.44 spl0_28 <=> empty(intersection(X0,empty_set))),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f425,plain,(
% 0.18/0.44 ![X0]: (empty(intersection(X0,empty_set))|member(sk0_3(empty_set),empty_set))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f416,f90])).
% 0.18/0.44 fof(f426,plain,(
% 0.18/0.44 spl0_28|spl0_22),
% 0.18/0.44 inference(split_clause,[status(thm)],[f425,f422,f353])).
% 0.18/0.44 fof(f427,plain,(
% 0.18/0.44 spl0_29 <=> ~member(X0,X1)|~member(X0,empty_set)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f430,plain,(
% 0.18/0.44 ![X0,X1]: (~empty(empty_set)|~member(X0,X1)|~member(X0,empty_set))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f416,f77])).
% 0.18/0.44 fof(f431,plain,(
% 0.18/0.44 ~spl0_4|spl0_29),
% 0.18/0.44 inference(split_clause,[status(thm)],[f430,f144,f427])).
% 0.18/0.44 fof(f435,plain,(
% 0.18/0.44 $false|~spl0_22),
% 0.18/0.44 inference(forward_subsumption_resolution,[status(thm)],[f354,f28])).
% 0.18/0.44 fof(f436,plain,(
% 0.18/0.44 ~spl0_22),
% 0.18/0.44 inference(contradiction_clause,[status(thm)],[f435])).
% 0.18/0.44 fof(f534,plain,(
% 0.18/0.44 spl0_30 <=> empty(intersection(empty_set,X0))),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f537,plain,(
% 0.18/0.44 ![X0]: (empty(intersection(empty_set,X0))|member(sk0_3(empty_set),empty_set))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f420,f91])).
% 0.18/0.44 fof(f538,plain,(
% 0.18/0.44 spl0_30|spl0_22),
% 0.18/0.44 inference(split_clause,[status(thm)],[f537,f534,f353])).
% 0.18/0.44 fof(f556,plain,(
% 0.18/0.44 ![X0,X1]: (subset(difference(X0,X1),X0)|subset(difference(X0,X1),X0))),
% 0.18/0.44 inference(resolution,[status(thm)],[f94,f48])).
% 0.18/0.44 fof(f557,plain,(
% 0.18/0.44 ![X0,X1]: (subset(difference(X0,X1),X0))),
% 0.18/0.44 inference(duplicate_literals_removal,[status(esa)],[f556])).
% 0.18/0.44 fof(f565,plain,(
% 0.18/0.44 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|~empty(X0))),
% 0.18/0.44 inference(resolution,[status(thm)],[f94,f53])).
% 0.18/0.44 fof(f580,plain,(
% 0.18/0.44 spl0_33 <=> empty(intersection(sk0_4,sk0_5))),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f581,plain,(
% 0.18/0.44 empty(intersection(sk0_4,sk0_5))|~spl0_33),
% 0.18/0.44 inference(component_clause,[status(thm)],[f580])).
% 0.18/0.44 fof(f583,plain,(
% 0.18/0.44 empty(intersection(sk0_4,sk0_5))|empty(intersection(sk0_4,sk0_5))|~spl0_1),
% 0.18/0.44 inference(resolution,[status(thm)],[f405,f91])).
% 0.18/0.44 fof(f584,plain,(
% 0.18/0.44 spl0_33|~spl0_1),
% 0.18/0.44 inference(split_clause,[status(thm)],[f583,f580,f63])).
% 0.18/0.44 fof(f593,plain,(
% 0.18/0.44 intersection(sk0_4,sk0_5)=empty_set|~spl0_33),
% 0.18/0.44 inference(resolution,[status(thm)],[f581,f101])).
% 0.18/0.44 fof(f594,plain,(
% 0.18/0.44 spl0_0|~spl0_33),
% 0.18/0.44 inference(split_clause,[status(thm)],[f593,f60,f580])).
% 0.18/0.44 fof(f633,plain,(
% 0.18/0.44 ![X0]: (~member(sk0_3(intersection(X0,sk0_5)),sk0_4)|empty(intersection(X0,sk0_5))|~spl0_5)),
% 0.18/0.44 inference(resolution,[status(thm)],[f148,f90])).
% 0.18/0.44 fof(f666,plain,(
% 0.18/0.44 empty(intersection(sk0_4,sk0_5))|empty(intersection(sk0_4,sk0_5))|~spl0_5),
% 0.18/0.44 inference(resolution,[status(thm)],[f633,f91])).
% 0.18/0.44 fof(f667,plain,(
% 0.18/0.44 spl0_33|~spl0_5),
% 0.18/0.44 inference(split_clause,[status(thm)],[f666,f580,f147])).
% 0.18/0.44 fof(f733,plain,(
% 0.18/0.44 ![X0,X1]: (X0=difference(X0,X1)|~subset(X0,difference(X0,X1)))),
% 0.18/0.44 inference(resolution,[status(thm)],[f557,f33])).
% 0.18/0.44 fof(f743,plain,(
% 0.18/0.44 spl0_38 <=> subset(empty_set,X0)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f746,plain,(
% 0.18/0.44 ![X0]: (subset(empty_set,X0)|~empty(empty_set))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f323,f565])).
% 0.18/0.44 fof(f747,plain,(
% 0.18/0.44 spl0_38|~spl0_4),
% 0.18/0.44 inference(split_clause,[status(thm)],[f746,f743,f144])).
% 0.18/0.44 fof(f766,plain,(
% 0.18/0.44 ![X0,X1]: (subset(intersection(X0,X1),X1)|subset(intersection(X0,X1),X1))),
% 0.18/0.44 inference(resolution,[status(thm)],[f95,f48])).
% 0.18/0.44 fof(f767,plain,(
% 0.18/0.44 ![X0,X1]: (subset(intersection(X0,X1),X1))),
% 0.18/0.44 inference(duplicate_literals_removal,[status(esa)],[f766])).
% 0.18/0.44 fof(f775,plain,(
% 0.18/0.44 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|~empty(X1))),
% 0.18/0.44 inference(resolution,[status(thm)],[f95,f53])).
% 0.18/0.44 fof(f787,plain,(
% 0.18/0.44 ![X0,X1]: (X0=intersection(X1,X0)|~subset(X0,intersection(X1,X0)))),
% 0.18/0.44 inference(resolution,[status(thm)],[f767,f33])).
% 0.18/0.44 fof(f791,plain,(
% 0.18/0.44 ![X0,X1]: (subset(intersection(X0,X1),X0))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f34,f767])).
% 0.18/0.44 fof(f796,plain,(
% 0.18/0.44 ![X0,X1]: (X0=intersection(X0,X1)|~subset(X0,intersection(X0,X1)))),
% 0.18/0.44 inference(resolution,[status(thm)],[f791,f33])).
% 0.18/0.44 fof(f826,plain,(
% 0.18/0.44 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|~empty(X0))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f34,f775])).
% 0.18/0.44 fof(f888,plain,(
% 0.18/0.44 ![X0,X1,X2]: (intersection(X0,X1)=difference(intersection(X0,X1),X2)|~empty(X0))),
% 0.18/0.44 inference(resolution,[status(thm)],[f733,f826])).
% 0.18/0.44 fof(f889,plain,(
% 0.18/0.44 ![X0,X1,X2]: (intersection(X0,X1)=difference(intersection(X0,X1),X2)|~empty(X1))),
% 0.18/0.44 inference(resolution,[status(thm)],[f733,f775])).
% 0.18/0.44 fof(f893,plain,(
% 0.18/0.44 spl0_40 <=> empty_set=difference(empty_set,X0)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f896,plain,(
% 0.18/0.44 spl0_41 <=> subset(empty_set,empty_set)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f898,plain,(
% 0.18/0.44 ~subset(empty_set,empty_set)|spl0_41),
% 0.18/0.44 inference(component_clause,[status(thm)],[f896])).
% 0.18/0.44 fof(f899,plain,(
% 0.18/0.44 ![X0]: (empty_set=difference(empty_set,X0)|~subset(empty_set,empty_set))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f323,f733])).
% 0.18/0.44 fof(f900,plain,(
% 0.18/0.44 spl0_40|~spl0_41),
% 0.18/0.44 inference(split_clause,[status(thm)],[f899,f893,f896])).
% 0.18/0.44 fof(f903,plain,(
% 0.18/0.44 $false|spl0_41),
% 0.18/0.44 inference(forward_subsumption_resolution,[status(thm)],[f898,f97])).
% 0.18/0.44 fof(f904,plain,(
% 0.18/0.44 spl0_41),
% 0.18/0.44 inference(contradiction_clause,[status(thm)],[f903])).
% 0.18/0.44 fof(f920,plain,(
% 0.18/0.44 spl0_44 <=> empty_set=intersection(X0,empty_set)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f923,plain,(
% 0.18/0.44 ![X0]: (empty_set=intersection(X0,empty_set)|~subset(empty_set,empty_set))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f416,f787])).
% 0.18/0.44 fof(f924,plain,(
% 0.18/0.44 spl0_44|~spl0_41),
% 0.18/0.44 inference(split_clause,[status(thm)],[f923,f920,f896])).
% 0.18/0.44 fof(f940,plain,(
% 0.18/0.44 spl0_47 <=> empty_set=intersection(empty_set,X0)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f943,plain,(
% 0.18/0.44 ![X0]: (empty_set=intersection(empty_set,X0)|~subset(empty_set,empty_set))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f420,f796])).
% 0.18/0.44 fof(f944,plain,(
% 0.18/0.44 spl0_47|~spl0_41),
% 0.18/0.44 inference(split_clause,[status(thm)],[f943,f940,f896])).
% 0.18/0.44 fof(f1064,plain,(
% 0.18/0.44 spl0_51 <=> intersection(empty_set,X0)=difference(empty_set,X1)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f1067,plain,(
% 0.18/0.44 ![X0,X1]: (intersection(empty_set,X0)=difference(empty_set,X1)|~empty(empty_set))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f420,f888])).
% 0.18/0.44 fof(f1068,plain,(
% 0.18/0.44 spl0_51|~spl0_4),
% 0.18/0.44 inference(split_clause,[status(thm)],[f1067,f1064,f144])).
% 0.18/0.44 fof(f1079,plain,(
% 0.18/0.44 spl0_52 <=> intersection(X0,empty_set)=difference(empty_set,X1)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f1082,plain,(
% 0.18/0.44 ![X0,X1]: (intersection(X0,empty_set)=difference(empty_set,X1)|~empty(empty_set))),
% 0.18/0.44 inference(paramodulation,[status(thm)],[f416,f889])).
% 0.18/0.44 fof(f1083,plain,(
% 0.18/0.44 spl0_52|~spl0_4),
% 0.18/0.44 inference(split_clause,[status(thm)],[f1082,f1079,f144])).
% 0.18/0.44 fof(f1114,plain,(
% 0.18/0.44 ![X0,X1]: (~member(sk0_0(X0,difference(X1,sk0_5)),X0)|difference(X1,sk0_5)=X0|~member(sk0_0(X0,difference(X1,sk0_5)),X1)|~member(sk0_0(X0,difference(X1,sk0_5)),sk0_4)|~spl0_5)),
% 0.18/0.44 inference(resolution,[status(thm)],[f134,f148])).
% 0.18/0.44 fof(f1270,plain,(
% 0.18/0.44 spl0_62 <=> subset(difference(sk0_5,sk0_4),sk0_5)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f1272,plain,(
% 0.18/0.44 ~subset(difference(sk0_5,sk0_4),sk0_5)|spl0_62),
% 0.18/0.44 inference(component_clause,[status(thm)],[f1270])).
% 0.18/0.44 fof(f1275,plain,(
% 0.18/0.44 $false|spl0_62),
% 0.18/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1272,f557])).
% 0.18/0.44 fof(f1276,plain,(
% 0.18/0.44 spl0_62),
% 0.18/0.44 inference(contradiction_clause,[status(thm)],[f1275])).
% 0.18/0.44 fof(f1299,plain,(
% 0.18/0.44 spl0_63 <=> member(sk0_0(sk0_4,difference(sk0_4,sk0_5)),sk0_4)),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f1300,plain,(
% 0.18/0.44 member(sk0_0(sk0_4,difference(sk0_4,sk0_5)),sk0_4)|~spl0_63),
% 0.18/0.44 inference(component_clause,[status(thm)],[f1299])).
% 0.18/0.44 fof(f1301,plain,(
% 0.18/0.44 ~member(sk0_0(sk0_4,difference(sk0_4,sk0_5)),sk0_4)|spl0_63),
% 0.18/0.44 inference(component_clause,[status(thm)],[f1299])).
% 0.18/0.44 fof(f1405,plain,(
% 0.18/0.44 member(sk0_0(sk0_4,difference(sk0_4,sk0_5)),sk0_4)|difference(sk0_4,sk0_5)=sk0_4|spl0_63),
% 0.18/0.44 inference(resolution,[status(thm)],[f1301,f81])).
% 0.18/0.44 fof(f1406,plain,(
% 0.18/0.44 spl0_63|spl0_1),
% 0.18/0.44 inference(split_clause,[status(thm)],[f1405,f1299,f63])).
% 0.18/0.44 fof(f1409,plain,(
% 0.18/0.44 ~member(sk0_0(sk0_4,difference(sk0_4,sk0_5)),sk0_4)|difference(sk0_4,sk0_5)=sk0_4|~spl0_63|~spl0_5),
% 0.18/0.44 inference(resolution,[status(thm)],[f1300,f1114])).
% 0.18/0.44 fof(f1410,plain,(
% 0.18/0.44 ~spl0_63|spl0_1|~spl0_5),
% 0.18/0.44 inference(split_clause,[status(thm)],[f1409,f1299,f63,f147])).
% 0.18/0.44 fof(f1422,plain,(
% 0.18/0.44 $false),
% 0.18/0.44 inference(sat_refutation,[status(thm)],[f66,f67,f151,f157,f318,f357,f367,f385,f397,f426,f431,f436,f538,f584,f594,f667,f747,f900,f904,f924,f944,f1068,f1083,f1276,f1406,f1410])).
% 0.18/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.45 % Elapsed time: 0.097185 seconds
% 0.18/0.45 % CPU time: 0.664910 seconds
% 0.18/0.45 % Total memory used: 70.878 MB
% 0.18/0.45 % Net memory used: 70.141 MB
%------------------------------------------------------------------------------