TSTP Solution File: SET171+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET171+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:34:11 EDT 2023
% Result : Theorem 85.14s 11.20s
% Output : CNFRefutation 85.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET171+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 10:19:42 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.33 % Drodi V3.5.1
% 85.14/11.20 % Refutation found
% 85.14/11.20 % SZS status Theorem for theBenchmark: Theorem is valid
% 85.14/11.20 % SZS output start CNFRefutation for theBenchmark
% 85.14/11.20 fof(f1,axiom,(
% 85.14/11.20 (! [B,C,D] :( member(D,union(B,C))<=> ( member(D,B)| member(D,C) ) ) )),
% 85.14/11.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 85.14/11.20 fof(f2,axiom,(
% 85.14/11.20 (! [B,C,D] :( member(D,intersection(B,C))<=> ( member(D,B)& member(D,C) ) ) )),
% 85.14/11.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 85.14/11.20 fof(f5,axiom,(
% 85.14/11.20 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 85.14/11.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 85.14/11.20 fof(f6,axiom,(
% 85.14/11.20 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 85.14/11.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 85.14/11.20 fof(f7,axiom,(
% 85.14/11.20 (! [B] : subset(B,B) )),
% 85.14/11.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 85.14/11.20 fof(f8,axiom,(
% 85.14/11.20 (! [B,C] :( B = C<=> (! [D] :( member(D,B)<=> member(D,C) ) )) )),
% 85.14/11.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 85.14/11.20 fof(f9,conjecture,(
% 85.14/11.20 (! [B,C,D] : union(B,intersection(C,D)) = intersection(union(B,C),union(B,D)) )),
% 85.14/11.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 85.14/11.20 fof(f10,negated_conjecture,(
% 85.14/11.20 ~((! [B,C,D] : union(B,intersection(C,D)) = intersection(union(B,C),union(B,D)) ))),
% 85.14/11.20 inference(negated_conjecture,[status(cth)],[f9])).
% 85.14/11.20 fof(f11,plain,(
% 85.14/11.20 ![B,C,D]: ((~member(D,union(B,C))|(member(D,B)|member(D,C)))&(member(D,union(B,C))|(~member(D,B)&~member(D,C))))),
% 85.14/11.20 inference(NNF_transformation,[status(esa)],[f1])).
% 85.14/11.20 fof(f12,plain,(
% 85.14/11.20 (![B,C,D]: (~member(D,union(B,C))|(member(D,B)|member(D,C))))&(![B,C,D]: (member(D,union(B,C))|(~member(D,B)&~member(D,C))))),
% 85.14/11.20 inference(miniscoping,[status(esa)],[f11])).
% 85.14/11.20 fof(f13,plain,(
% 85.14/11.20 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 85.14/11.20 inference(cnf_transformation,[status(esa)],[f12])).
% 85.14/11.20 fof(f14,plain,(
% 85.14/11.20 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X1))),
% 85.14/11.20 inference(cnf_transformation,[status(esa)],[f12])).
% 85.14/11.20 fof(f15,plain,(
% 85.14/11.20 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 85.14/11.20 inference(cnf_transformation,[status(esa)],[f12])).
% 85.14/11.20 fof(f16,plain,(
% 85.14/11.20 ![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))))),
% 85.14/11.20 inference(NNF_transformation,[status(esa)],[f2])).
% 85.14/11.20 fof(f17,plain,(
% 85.14/11.20 (![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))))),
% 85.14/11.20 inference(miniscoping,[status(esa)],[f16])).
% 85.14/11.20 fof(f18,plain,(
% 85.14/11.20 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 85.14/11.20 inference(cnf_transformation,[status(esa)],[f17])).
% 85.14/11.20 fof(f19,plain,(
% 85.14/11.20 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 85.14/11.20 inference(cnf_transformation,[status(esa)],[f17])).
% 85.14/11.20 fof(f20,plain,(
% 85.14/11.20 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 85.14/11.20 inference(cnf_transformation,[status(esa)],[f17])).
% 85.14/11.20 fof(f27,plain,(
% 85.14/11.20 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 85.14/11.20 inference(cnf_transformation,[status(esa)],[f5])).
% 85.14/11.20 fof(f28,plain,(
% 85.14/11.20 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 85.14/11.20 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 85.14/11.20 fof(f29,plain,(
% 85.14/11.20 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 85.14/11.20 inference(NNF_transformation,[status(esa)],[f28])).
% 85.14/11.20 fof(f30,plain,(
% 85.14/11.20 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 85.14/11.20 inference(miniscoping,[status(esa)],[f29])).
% 85.14/11.20 fof(f31,plain,(
% 85.14/11.20 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(member(sk0_0(C,B),B)&~member(sk0_0(C,B),C))))),
% 85.14/11.20 inference(skolemization,[status(esa)],[f30])).
% 85.14/11.20 fof(f33,plain,(
% 85.14/11.20 ![X0,X1]: (subset(X0,X1)|member(sk0_0(X1,X0),X0))),
% 85.14/11.20 inference(cnf_transformation,[status(esa)],[f31])).
% 85.14/11.20 fof(f34,plain,(
% 85.14/11.20 ![X0,X1]: (subset(X0,X1)|~member(sk0_0(X1,X0),X1))),
% 85.14/11.20 inference(cnf_transformation,[status(esa)],[f31])).
% 85.14/11.20 fof(f35,plain,(
% 85.14/11.20 ![X0]: (subset(X0,X0))),
% 85.14/11.20 inference(cnf_transformation,[status(esa)],[f7])).
% 85.14/11.20 fof(f36,plain,(
% 85.14/11.20 ![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))))))),
% 85.14/11.20 inference(NNF_transformation,[status(esa)],[f8])).
% 85.14/11.20 fof(f37,plain,(
% 85.14/11.20 (![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))))))),
% 85.14/11.20 inference(miniscoping,[status(esa)],[f36])).
% 85.14/11.20 fof(f38,plain,(
% 85.14/11.20 (![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)))))),
% 85.14/11.20 inference(skolemization,[status(esa)],[f37])).
% 85.14/11.20 fof(f41,plain,(
% 85.14/11.20 ![X0,X1]: (X0=X1|~member(sk0_1(X1,X0),X0)|~member(sk0_1(X1,X0),X1))),
% 85.14/11.20 inference(cnf_transformation,[status(esa)],[f38])).
% 85.14/11.20 fof(f42,plain,(
% 85.14/11.20 ![X0,X1]: (X0=X1|member(sk0_1(X1,X0),X0)|member(sk0_1(X1,X0),X1))),
% 85.14/11.20 inference(cnf_transformation,[status(esa)],[f38])).
% 85.14/11.20 fof(f43,plain,(
% 85.14/11.20 (?[B,C,D]: ~union(B,intersection(C,D))=intersection(union(B,C),union(B,D)))),
% 85.14/11.20 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 85.14/11.20 fof(f44,plain,(
% 85.14/11.20 ~union(sk0_2,intersection(sk0_3,sk0_4))=intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),
% 85.14/11.20 inference(skolemization,[status(esa)],[f43])).
% 85.14/11.20 fof(f45,plain,(
% 85.14/11.20 ~union(sk0_2,intersection(sk0_3,sk0_4))=intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),
% 85.14/11.20 inference(cnf_transformation,[status(esa)],[f44])).
% 85.14/11.20 fof(f62,plain,(
% 85.14/11.20 ![X0,X1,X2]: (~member(X0,union(X1,X1))|member(X0,union(X2,X1)))),
% 85.14/11.20 inference(resolution,[status(thm)],[f13,f15])).
% 85.14/11.20 fof(f65,plain,(
% 85.14/11.20 ![X0,X1,X2,X3]: (~member(X0,union(X1,X2))|member(X0,X2)|member(X0,union(X1,X3)))),
% 85.14/11.20 inference(resolution,[status(thm)],[f13,f14])).
% 85.14/11.20 fof(f67,plain,(
% 85.14/11.20 ![X0,X1,X2,X3]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,union(X3,X2)))),
% 85.14/11.20 inference(resolution,[status(thm)],[f13,f15])).
% 85.14/11.20 fof(f68,plain,(
% 85.14/11.20 ![X0,X1,X2,X3]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,union(X2,X3)))),
% 85.14/11.20 inference(resolution,[status(thm)],[f13,f14])).
% 85.14/11.20 fof(f73,plain,(
% 85.14/11.20 ![X0,X1,X2,X3]: (member(X0,X1)|~member(X0,union(X2,intersection(X1,X3)))|member(X0,X2))),
% 85.14/11.20 inference(resolution,[status(thm)],[f18,f13])).
% 85.14/11.20 fof(f77,plain,(
% 85.14/11.20 ![X0,X1,X2,X3]: (~member(X0,intersection(union(X1,X2),X3))|member(X0,X1)|member(X0,X2))),
% 85.14/11.20 inference(resolution,[status(thm)],[f18,f13])).
% 85.14/11.20 fof(f85,plain,(
% 85.14/11.20 ![X0,X1,X2,X3]: (member(X0,X1)|~member(X0,union(X2,intersection(X3,X1)))|member(X0,X2))),
% 85.14/11.20 inference(resolution,[status(thm)],[f19,f13])).
% 85.14/11.20 fof(f87,plain,(
% 85.14/11.20 ![X0,X1,X2,X3]: (member(X0,X1)|~member(X0,union(intersection(X2,X1),X3))|member(X0,X3))),
% 85.14/11.20 inference(resolution,[status(thm)],[f19,f13])).
% 85.14/11.20 fof(f90,plain,(
% 85.14/11.20 ![X0,X1,X2,X3]: (~member(X0,intersection(X1,union(X2,X3)))|member(X0,X2)|member(X0,X3))),
% 85.14/11.20 inference(resolution,[status(thm)],[f19,f13])).
% 85.14/11.20 fof(f185,plain,(
% 85.14/11.20 ![X0,X1,X2,X3]: (member(X0,intersection(X1,union(X2,X3)))|~member(X0,X1)|~member(X0,X3))),
% 85.14/11.20 inference(resolution,[status(thm)],[f20,f15])).
% 85.14/11.20 fof(f280,plain,(
% 85.14/11.20 ![X0,X1,X2]: (subset(X0,X1)|~member(sk0_0(X1,X0),intersection(X2,X1)))),
% 85.14/11.20 inference(resolution,[status(thm)],[f34,f19])).
% 85.14/11.20 fof(f282,plain,(
% 85.14/11.20 ![X0,X1]: (subset(X0,X1)|~member(sk0_0(X1,X0),union(X1,X1)))),
% 85.14/11.20 inference(resolution,[status(thm)],[f34,f13])).
% 85.14/11.20 fof(f288,plain,(
% 85.14/11.20 ![X0,X1]: (subset(intersection(X0,X1),X1)|subset(intersection(X0,X1),X1))),
% 85.14/11.20 inference(resolution,[status(thm)],[f280,f33])).
% 85.14/11.20 fof(f289,plain,(
% 85.14/11.20 ![X0,X1]: (subset(intersection(X0,X1),X1))),
% 85.14/11.20 inference(duplicate_literals_removal,[status(esa)],[f288])).
% 85.14/11.20 fof(f302,plain,(
% 85.14/11.20 ![X0,X1]: (subset(intersection(X0,X1),X0))),
% 85.14/11.20 inference(paramodulation,[status(thm)],[f27,f289])).
% 85.14/11.20 fof(f357,plain,(
% 85.14/11.20 spl0_4 <=> member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4)))),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f358,plain,(
% 85.14/11.20 member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4)))|~spl0_4),
% 85.14/11.20 inference(component_clause,[status(thm)],[f357])).
% 85.14/11.20 fof(f359,plain,(
% 85.14/11.20 ~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4)))|spl0_4),
% 85.14/11.20 inference(component_clause,[status(thm)],[f357])).
% 85.14/11.20 fof(f360,plain,(
% 85.14/11.20 spl0_5 <=> member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,intersection(sk0_3,sk0_4)))),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f361,plain,(
% 85.14/11.20 member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,intersection(sk0_3,sk0_4)))|~spl0_5),
% 85.14/11.20 inference(component_clause,[status(thm)],[f360])).
% 85.14/11.20 fof(f362,plain,(
% 85.14/11.20 ~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,intersection(sk0_3,sk0_4)))|spl0_5),
% 85.14/11.20 inference(component_clause,[status(thm)],[f360])).
% 85.14/11.20 fof(f363,plain,(
% 85.14/11.20 ~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4)))|~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,intersection(sk0_3,sk0_4)))),
% 85.14/11.20 inference(resolution,[status(thm)],[f41,f45])).
% 85.14/11.20 fof(f364,plain,(
% 85.14/11.20 ~spl0_4|~spl0_5),
% 85.14/11.20 inference(split_clause,[status(thm)],[f363,f357,f360])).
% 85.14/11.20 fof(f397,plain,(
% 85.14/11.20 member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4)))|member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,intersection(sk0_3,sk0_4)))),
% 85.14/11.20 inference(resolution,[status(thm)],[f42,f45])).
% 85.14/11.20 fof(f398,plain,(
% 85.14/11.20 spl0_4|spl0_5),
% 85.14/11.20 inference(split_clause,[status(thm)],[f397,f357,f360])).
% 85.14/11.20 fof(f459,plain,(
% 85.14/11.20 spl0_6 <=> intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))=union(sk0_2,intersection(sk0_3,sk0_4))),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f460,plain,(
% 85.14/11.20 intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))=union(sk0_2,intersection(sk0_3,sk0_4))|~spl0_6),
% 85.14/11.20 inference(component_clause,[status(thm)],[f459])).
% 85.14/11.20 fof(f464,plain,(
% 85.14/11.20 ~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),intersection(sk0_3,sk0_4))|spl0_5),
% 85.14/11.20 inference(resolution,[status(thm)],[f362,f15])).
% 85.14/11.20 fof(f640,plain,(
% 85.14/11.20 spl0_9 <=> member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,sk0_3))),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f642,plain,(
% 85.14/11.20 ~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,sk0_3))|spl0_9),
% 85.14/11.20 inference(component_clause,[status(thm)],[f640])).
% 85.14/11.20 fof(f643,plain,(
% 85.14/11.20 spl0_10 <=> member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,sk0_4))),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f645,plain,(
% 85.14/11.20 ~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,sk0_4))|spl0_10),
% 85.14/11.20 inference(component_clause,[status(thm)],[f643])).
% 85.14/11.20 fof(f646,plain,(
% 85.14/11.20 ~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,sk0_3))|~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,sk0_4))|spl0_4),
% 85.14/11.20 inference(resolution,[status(thm)],[f359,f20])).
% 85.14/11.20 fof(f647,plain,(
% 85.14/11.20 ~spl0_9|~spl0_10|spl0_4),
% 85.14/11.20 inference(split_clause,[status(thm)],[f646,f640,f643,f357])).
% 85.14/11.20 fof(f877,plain,(
% 85.14/11.20 $false|~spl0_6),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f460,f45])).
% 85.14/11.20 fof(f878,plain,(
% 85.14/11.20 ~spl0_6),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f877])).
% 85.14/11.20 fof(f1560,plain,(
% 85.14/11.20 ~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_2)|spl0_5),
% 85.14/11.20 inference(resolution,[status(thm)],[f362,f14])).
% 85.14/11.20 fof(f2132,plain,(
% 85.14/11.20 ![X0]: (subset(union(X0,X0),X0)|subset(union(X0,X0),X0))),
% 85.14/11.20 inference(resolution,[status(thm)],[f282,f33])).
% 85.14/11.20 fof(f2133,plain,(
% 85.14/11.20 ![X0]: (subset(union(X0,X0),X0))),
% 85.14/11.20 inference(duplicate_literals_removal,[status(esa)],[f2132])).
% 85.14/11.20 fof(f3194,plain,(
% 85.14/11.20 spl0_55 <=> subset(union(sk0_2,sk0_2),sk0_2)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f3196,plain,(
% 85.14/11.20 ~subset(union(sk0_2,sk0_2),sk0_2)|spl0_55),
% 85.14/11.20 inference(component_clause,[status(thm)],[f3194])).
% 85.14/11.20 fof(f3234,plain,(
% 85.14/11.20 $false|spl0_55),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f3196,f2133])).
% 85.14/11.20 fof(f3235,plain,(
% 85.14/11.20 spl0_55),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f3234])).
% 85.14/11.20 fof(f3249,plain,(
% 85.14/11.20 spl0_59 <=> subset(sk0_2,sk0_2)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f3251,plain,(
% 85.14/11.20 ~subset(sk0_2,sk0_2)|spl0_59),
% 85.14/11.20 inference(component_clause,[status(thm)],[f3249])).
% 85.14/11.20 fof(f3421,plain,(
% 85.14/11.20 ~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_3)|spl0_9),
% 85.14/11.20 inference(resolution,[status(thm)],[f642,f15])).
% 85.14/11.20 fof(f3422,plain,(
% 85.14/11.20 ~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_2)|spl0_9),
% 85.14/11.20 inference(resolution,[status(thm)],[f642,f14])).
% 85.14/11.20 fof(f3480,plain,(
% 85.14/11.20 ~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_2)|spl0_10),
% 85.14/11.20 inference(resolution,[status(thm)],[f645,f14])).
% 85.14/11.20 fof(f4400,plain,(
% 85.14/11.20 spl0_70 <=> member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_3)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f4403,plain,(
% 85.14/11.20 spl0_71 <=> member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_4)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f4406,plain,(
% 85.14/11.20 ~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_3)|~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_4)|spl0_5),
% 85.14/11.20 inference(resolution,[status(thm)],[f464,f20])).
% 85.14/11.20 fof(f4407,plain,(
% 85.14/11.20 ~spl0_70|~spl0_71|spl0_5),
% 85.14/11.20 inference(split_clause,[status(thm)],[f4406,f4400,f4403,f360])).
% 85.14/11.20 fof(f4643,plain,(
% 85.14/11.20 spl0_72 <=> subset(union(sk0_2,intersection(sk0_3,sk0_4)),union(sk0_2,intersection(sk0_3,sk0_4)))),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f4645,plain,(
% 85.14/11.20 ~subset(union(sk0_2,intersection(sk0_3,sk0_4)),union(sk0_2,intersection(sk0_3,sk0_4)))|spl0_72),
% 85.14/11.20 inference(component_clause,[status(thm)],[f4643])).
% 85.14/11.20 fof(f4727,plain,(
% 85.14/11.20 $false|spl0_72),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f4645,f35])).
% 85.14/11.20 fof(f4728,plain,(
% 85.14/11.20 spl0_72),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f4727])).
% 85.14/11.20 fof(f4774,plain,(
% 85.14/11.20 spl0_76 <=> subset(intersection(intersection(sk0_2,sk0_4),sk0_4),sk0_4)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f4776,plain,(
% 85.14/11.20 ~subset(intersection(intersection(sk0_2,sk0_4),sk0_4),sk0_4)|spl0_76),
% 85.14/11.20 inference(component_clause,[status(thm)],[f4774])).
% 85.14/11.20 fof(f4803,plain,(
% 85.14/11.20 $false|spl0_76),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f4776,f289])).
% 85.14/11.20 fof(f4804,plain,(
% 85.14/11.20 spl0_76),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f4803])).
% 85.14/11.20 fof(f4878,plain,(
% 85.14/11.20 spl0_79 <=> member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),intersection(sk0_3,sk0_4))),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f4881,plain,(
% 85.14/11.20 spl0_80 <=> member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,X0))),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f4882,plain,(
% 85.14/11.20 ![X0]: (member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,X0))|~spl0_80)),
% 85.14/11.20 inference(component_clause,[status(thm)],[f4881])).
% 85.14/11.20 fof(f4884,plain,(
% 85.14/11.20 ![X0]: (member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),intersection(sk0_3,sk0_4))|member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,X0))|~spl0_5)),
% 85.14/11.20 inference(resolution,[status(thm)],[f361,f65])).
% 85.14/11.20 fof(f4885,plain,(
% 85.14/11.20 spl0_79|spl0_80|~spl0_5),
% 85.14/11.20 inference(split_clause,[status(thm)],[f4884,f4878,f4881,f360])).
% 85.14/11.20 fof(f4886,plain,(
% 85.14/11.20 spl0_81 <=> member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(X0,sk0_2))),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f4887,plain,(
% 85.14/11.20 ![X0]: (member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(X0,sk0_2))|~spl0_81)),
% 85.14/11.20 inference(component_clause,[status(thm)],[f4886])).
% 85.14/11.20 fof(f4891,plain,(
% 85.14/11.20 spl0_82 <=> member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_2)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f4892,plain,(
% 85.14/11.20 member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_2)|~spl0_82),
% 85.14/11.20 inference(component_clause,[status(thm)],[f4891])).
% 85.14/11.20 fof(f6469,plain,(
% 85.14/11.20 spl0_92 <=> subset(intersection(sk0_4,intersection(sk0_2,sk0_4)),sk0_4)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f6471,plain,(
% 85.14/11.20 ~subset(intersection(sk0_4,intersection(sk0_2,sk0_4)),sk0_4)|spl0_92),
% 85.14/11.20 inference(component_clause,[status(thm)],[f6469])).
% 85.14/11.20 fof(f6496,plain,(
% 85.14/11.20 $false|spl0_92),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f6471,f302])).
% 85.14/11.20 fof(f6497,plain,(
% 85.14/11.20 spl0_92),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f6496])).
% 85.14/11.20 fof(f6664,plain,(
% 85.14/11.20 spl0_103 <=> subset(intersection(union(sk0_2,sk0_2),sk0_2),sk0_2)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f6666,plain,(
% 85.14/11.20 ~subset(intersection(union(sk0_2,sk0_2),sk0_2),sk0_2)|spl0_103),
% 85.14/11.20 inference(component_clause,[status(thm)],[f6664])).
% 85.14/11.20 fof(f6694,plain,(
% 85.14/11.20 $false|spl0_103),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f6666,f289])).
% 85.14/11.20 fof(f6695,plain,(
% 85.14/11.20 spl0_103),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f6694])).
% 85.14/11.20 fof(f6716,plain,(
% 85.14/11.20 spl0_109 <=> subset(intersection(intersection(sk0_2,sk0_4),sk0_2),sk0_2)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f6718,plain,(
% 85.14/11.20 ~subset(intersection(intersection(sk0_2,sk0_4),sk0_2),sk0_2)|spl0_109),
% 85.14/11.20 inference(component_clause,[status(thm)],[f6716])).
% 85.14/11.20 fof(f6745,plain,(
% 85.14/11.20 $false|spl0_109),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f6718,f289])).
% 85.14/11.20 fof(f6746,plain,(
% 85.14/11.20 spl0_109),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f6745])).
% 85.14/11.20 fof(f6767,plain,(
% 85.14/11.20 spl0_115 <=> subset(intersection(intersection(sk0_4,sk0_2),sk0_4),sk0_4)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f6769,plain,(
% 85.14/11.20 ~subset(intersection(intersection(sk0_4,sk0_2),sk0_4),sk0_4)|spl0_115),
% 85.14/11.20 inference(component_clause,[status(thm)],[f6767])).
% 85.14/11.20 fof(f6796,plain,(
% 85.14/11.20 $false|spl0_115),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f6769,f289])).
% 85.14/11.20 fof(f6797,plain,(
% 85.14/11.20 spl0_115),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f6796])).
% 85.14/11.20 fof(f6818,plain,(
% 85.14/11.20 spl0_121 <=> subset(intersection(intersection(sk0_4,sk0_2),sk0_2),sk0_2)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f6820,plain,(
% 85.14/11.20 ~subset(intersection(intersection(sk0_4,sk0_2),sk0_2),sk0_2)|spl0_121),
% 85.14/11.20 inference(component_clause,[status(thm)],[f6818])).
% 85.14/11.20 fof(f6849,plain,(
% 85.14/11.20 $false|spl0_121),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f6820,f289])).
% 85.14/11.20 fof(f6850,plain,(
% 85.14/11.20 spl0_121),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f6849])).
% 85.14/11.20 fof(f7021,plain,(
% 85.14/11.20 $false|spl0_59),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f3251,f35])).
% 85.14/11.20 fof(f7022,plain,(
% 85.14/11.20 spl0_59),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f7021])).
% 85.14/11.20 fof(f7207,plain,(
% 85.14/11.20 spl0_143 <=> subset(intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4)))),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f7209,plain,(
% 85.14/11.20 ~subset(intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4)))|spl0_143),
% 85.14/11.20 inference(component_clause,[status(thm)],[f7207])).
% 85.14/11.20 fof(f7281,plain,(
% 85.14/11.20 $false|spl0_143),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f7209,f35])).
% 85.14/11.20 fof(f7282,plain,(
% 85.14/11.20 spl0_143),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f7281])).
% 85.14/11.20 fof(f7451,plain,(
% 85.14/11.20 member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_2)|member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_3)|~spl0_4),
% 85.14/11.20 inference(resolution,[status(thm)],[f77,f358])).
% 85.14/11.20 fof(f7452,plain,(
% 85.14/11.20 spl0_82|spl0_70|~spl0_4),
% 85.14/11.20 inference(split_clause,[status(thm)],[f7451,f4891,f4400,f357])).
% 85.14/11.20 fof(f8052,plain,(
% 85.14/11.20 spl0_149 <=> subset(intersection(sk0_2,intersection(sk0_2,sk0_4)),sk0_2)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f8054,plain,(
% 85.14/11.20 ~subset(intersection(sk0_2,intersection(sk0_2,sk0_4)),sk0_2)|spl0_149),
% 85.14/11.20 inference(component_clause,[status(thm)],[f8052])).
% 85.14/11.20 fof(f8079,plain,(
% 85.14/11.20 $false|spl0_149),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f8054,f302])).
% 85.14/11.20 fof(f8080,plain,(
% 85.14/11.20 spl0_149),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f8079])).
% 85.14/11.20 fof(f8101,plain,(
% 85.14/11.20 spl0_155 <=> subset(intersection(sk0_4,intersection(sk0_4,sk0_2)),sk0_4)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f8103,plain,(
% 85.14/11.20 ~subset(intersection(sk0_4,intersection(sk0_4,sk0_2)),sk0_4)|spl0_155),
% 85.14/11.20 inference(component_clause,[status(thm)],[f8101])).
% 85.14/11.20 fof(f8128,plain,(
% 85.14/11.20 $false|spl0_155),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f8103,f302])).
% 85.14/11.20 fof(f8129,plain,(
% 85.14/11.20 spl0_155),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f8128])).
% 85.14/11.20 fof(f8150,plain,(
% 85.14/11.20 spl0_161 <=> subset(intersection(sk0_2,intersection(sk0_4,sk0_2)),sk0_2)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f8152,plain,(
% 85.14/11.20 ~subset(intersection(sk0_2,intersection(sk0_4,sk0_2)),sk0_2)|spl0_161),
% 85.14/11.20 inference(component_clause,[status(thm)],[f8150])).
% 85.14/11.20 fof(f8179,plain,(
% 85.14/11.20 $false|spl0_161),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f8152,f302])).
% 85.14/11.20 fof(f8180,plain,(
% 85.14/11.20 spl0_161),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f8179])).
% 85.14/11.20 fof(f8419,plain,(
% 85.14/11.20 spl0_168 <=> subset(intersection(sk0_2,union(sk0_2,sk0_2)),sk0_2)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f8421,plain,(
% 85.14/11.20 ~subset(intersection(sk0_2,union(sk0_2,sk0_2)),sk0_2)|spl0_168),
% 85.14/11.20 inference(component_clause,[status(thm)],[f8419])).
% 85.14/11.20 fof(f8446,plain,(
% 85.14/11.20 $false|spl0_168),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f8421,f302])).
% 85.14/11.20 fof(f8447,plain,(
% 85.14/11.20 spl0_168),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f8446])).
% 85.14/11.20 fof(f8816,plain,(
% 85.14/11.20 member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_3)|member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_2)|~spl0_5),
% 85.14/11.20 inference(resolution,[status(thm)],[f361,f73])).
% 85.14/11.20 fof(f8817,plain,(
% 85.14/11.20 spl0_70|spl0_82|~spl0_5),
% 85.14/11.20 inference(split_clause,[status(thm)],[f8816,f4400,f4891,f360])).
% 85.14/11.20 fof(f8823,plain,(
% 85.14/11.20 spl0_196 <=> member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(X0,intersection(sk0_3,sk0_4)))),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f8824,plain,(
% 85.14/11.20 ![X0]: (member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(X0,intersection(sk0_3,sk0_4)))|~spl0_196)),
% 85.14/11.20 inference(component_clause,[status(thm)],[f8823])).
% 85.14/11.20 fof(f8826,plain,(
% 85.14/11.20 ![X0]: (member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_2)|member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(X0,intersection(sk0_3,sk0_4)))|~spl0_5)),
% 85.14/11.20 inference(resolution,[status(thm)],[f361,f67])).
% 85.14/11.20 fof(f8827,plain,(
% 85.14/11.20 spl0_82|spl0_196|~spl0_5),
% 85.14/11.20 inference(split_clause,[status(thm)],[f8826,f4891,f8823,f360])).
% 85.14/11.20 fof(f9619,plain,(
% 85.14/11.20 member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_4)|member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_2)|~spl0_5),
% 85.14/11.20 inference(resolution,[status(thm)],[f85,f361])).
% 85.14/11.20 fof(f9620,plain,(
% 85.14/11.20 spl0_71|spl0_82|~spl0_5),
% 85.14/11.20 inference(split_clause,[status(thm)],[f9619,f4403,f4891,f360])).
% 85.14/11.20 fof(f10935,plain,(
% 85.14/11.20 spl0_253 <=> member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),X0)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f10938,plain,(
% 85.14/11.20 ![X0]: (member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),X0)|member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_2)|~spl0_81)),
% 85.14/11.20 inference(resolution,[status(thm)],[f4887,f87])).
% 85.14/11.20 fof(f10939,plain,(
% 85.14/11.20 spl0_253|spl0_82|~spl0_81),
% 85.14/11.20 inference(split_clause,[status(thm)],[f10938,f10935,f4891,f4886])).
% 85.14/11.20 fof(f10944,plain,(
% 85.14/11.20 ![X0,X1]: (member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),X0)|member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,X1))|~spl0_81)),
% 85.14/11.20 inference(resolution,[status(thm)],[f4887,f68])).
% 85.14/11.20 fof(f10945,plain,(
% 85.14/11.20 spl0_253|spl0_80|~spl0_81),
% 85.14/11.20 inference(split_clause,[status(thm)],[f10944,f10935,f4881,f4886])).
% 85.14/11.20 fof(f11022,plain,(
% 85.14/11.20 ![X0]: (member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(X0,sk0_2))|~spl0_80)),
% 85.14/11.20 inference(resolution,[status(thm)],[f4882,f62])).
% 85.14/11.20 fof(f11023,plain,(
% 85.14/11.20 spl0_81|~spl0_80),
% 85.14/11.20 inference(split_clause,[status(thm)],[f11022,f4886,f4881])).
% 85.14/11.20 fof(f11076,plain,(
% 85.14/11.20 $false|~spl0_82|spl0_5),
% 85.14/11.20 inference(forward_subsumption_resolution,[status(thm)],[f1560,f4892])).
% 85.14/11.20 fof(f11077,plain,(
% 85.14/11.20 ~spl0_82|spl0_5),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f11076])).
% 85.14/11.20 fof(f13807,plain,(
% 85.14/11.20 member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_2)|member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_4)|~spl0_4),
% 85.14/11.20 inference(resolution,[status(thm)],[f358,f90])).
% 85.14/11.20 fof(f13808,plain,(
% 85.14/11.20 spl0_82|spl0_71|~spl0_4),
% 85.14/11.20 inference(split_clause,[status(thm)],[f13807,f4891,f4403,f357])).
% 85.14/11.20 fof(f13880,plain,(
% 85.14/11.20 ~spl0_82|spl0_9),
% 85.14/11.20 inference(split_clause,[status(thm)],[f3422,f4891,f640])).
% 85.14/11.20 fof(f17432,plain,(
% 85.14/11.20 ~spl0_82|spl0_10),
% 85.14/11.20 inference(split_clause,[status(thm)],[f3480,f4891,f643])).
% 85.14/11.20 fof(f18672,plain,(
% 85.14/11.20 ![X0]: (member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_4)|member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),X0)|~spl0_196)),
% 85.14/11.20 inference(resolution,[status(thm)],[f8824,f85])).
% 85.14/11.20 fof(f18673,plain,(
% 85.14/11.20 spl0_71|spl0_253|~spl0_196),
% 85.14/11.20 inference(split_clause,[status(thm)],[f18672,f4403,f10935,f8823])).
% 85.14/11.20 fof(f19870,plain,(
% 85.14/11.20 spl0_315 <=> ~intersection(union(sk0_2,sk0_2),sk0_2)=intersection(sk0_2,X1)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f19871,plain,(
% 85.14/11.20 ![X0]: (~intersection(union(sk0_2,sk0_2),sk0_2)=intersection(sk0_2,X0)|~spl0_315)),
% 85.14/11.20 inference(component_clause,[status(thm)],[f19870])).
% 85.14/11.20 fof(f19875,plain,(
% 85.14/11.20 spl0_316 <=> ~intersection(sk0_2,union(sk0_2,sk0_2))=intersection(sk0_2,X1)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f19876,plain,(
% 85.14/11.20 ![X0]: (~intersection(sk0_2,union(sk0_2,sk0_2))=intersection(sk0_2,X0)|~spl0_316)),
% 85.14/11.20 inference(component_clause,[status(thm)],[f19875])).
% 85.14/11.20 fof(f20164,plain,(
% 85.14/11.20 spl0_331 <=> ~intersection(union(sk0_2,sk0_2),sk0_2)=intersection(X1,sk0_2)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f20165,plain,(
% 85.14/11.20 ![X0]: (~intersection(union(sk0_2,sk0_2),sk0_2)=intersection(X0,sk0_2)|~spl0_331)),
% 85.14/11.20 inference(component_clause,[status(thm)],[f20164])).
% 85.14/11.20 fof(f20169,plain,(
% 85.14/11.20 spl0_332 <=> ~intersection(sk0_2,union(sk0_2,sk0_2))=intersection(X1,sk0_2)),
% 85.14/11.20 introduced(split_symbol_definition)).
% 85.14/11.20 fof(f20170,plain,(
% 85.14/11.20 ![X0]: (~intersection(sk0_2,union(sk0_2,sk0_2))=intersection(X0,sk0_2)|~spl0_332)),
% 85.14/11.20 inference(component_clause,[status(thm)],[f20169])).
% 85.14/11.20 fof(f21895,plain,(
% 85.14/11.20 $false|~spl0_316),
% 85.14/11.20 inference(equality_resolution,[status(esa)],[f19876])).
% 85.14/11.20 fof(f21896,plain,(
% 85.14/11.20 ~spl0_316),
% 85.14/11.20 inference(contradiction_clause,[status(thm)],[f21895])).
% 85.71/11.26 fof(f21897,plain,(
% 85.71/11.26 $false|~spl0_315),
% 85.71/11.26 inference(resolution,[status(thm)],[f19871,f27])).
% 85.71/11.26 fof(f21898,plain,(
% 85.71/11.26 ~spl0_315),
% 85.71/11.26 inference(contradiction_clause,[status(thm)],[f21897])).
% 85.71/11.26 fof(f22373,plain,(
% 85.71/11.26 $false|~spl0_332),
% 85.71/11.26 inference(resolution,[status(thm)],[f20170,f27])).
% 85.71/11.26 fof(f22374,plain,(
% 85.71/11.26 ~spl0_332),
% 85.71/11.26 inference(contradiction_clause,[status(thm)],[f22373])).
% 85.71/11.26 fof(f22426,plain,(
% 85.71/11.26 $false|~spl0_331),
% 85.71/11.26 inference(equality_resolution,[status(esa)],[f20165])).
% 85.71/11.26 fof(f22427,plain,(
% 85.71/11.26 ~spl0_331),
% 85.71/11.26 inference(contradiction_clause,[status(thm)],[f22426])).
% 85.71/11.26 fof(f22520,plain,(
% 85.71/11.26 spl0_416 <=> subset(intersection(intersection(sk0_2,union(sk0_2,sk0_2)),sk0_2),sk0_2)),
% 85.71/11.26 introduced(split_symbol_definition)).
% 85.71/11.26 fof(f22522,plain,(
% 85.71/11.26 ~subset(intersection(intersection(sk0_2,union(sk0_2,sk0_2)),sk0_2),sk0_2)|spl0_416),
% 85.71/11.26 inference(component_clause,[status(thm)],[f22520])).
% 85.71/11.26 fof(f22577,plain,(
% 85.71/11.26 $false|spl0_416),
% 85.71/11.26 inference(forward_subsumption_resolution,[status(thm)],[f22522,f289])).
% 85.71/11.26 fof(f22578,plain,(
% 85.71/11.26 spl0_416),
% 85.71/11.26 inference(contradiction_clause,[status(thm)],[f22577])).
% 85.71/11.26 fof(f22624,plain,(
% 85.71/11.26 spl0_429 <=> subset(intersection(sk0_2,intersection(sk0_2,union(sk0_2,sk0_2))),sk0_2)),
% 85.71/11.26 introduced(split_symbol_definition)).
% 85.71/11.26 fof(f22626,plain,(
% 85.71/11.26 ~subset(intersection(sk0_2,intersection(sk0_2,union(sk0_2,sk0_2))),sk0_2)|spl0_429),
% 85.71/11.26 inference(component_clause,[status(thm)],[f22624])).
% 85.71/11.26 fof(f22679,plain,(
% 85.71/11.26 $false|spl0_429),
% 85.71/11.26 inference(forward_subsumption_resolution,[status(thm)],[f22626,f302])).
% 85.71/11.26 fof(f22680,plain,(
% 85.71/11.26 spl0_429),
% 85.71/11.26 inference(contradiction_clause,[status(thm)],[f22679])).
% 85.71/11.26 fof(f25310,plain,(
% 85.71/11.26 ~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),union(sk0_2,sk0_3))|~member(sk0_1(union(sk0_2,intersection(sk0_3,sk0_4)),intersection(union(sk0_2,sk0_3),union(sk0_2,sk0_4))),sk0_4)|spl0_4),
% 85.71/11.26 inference(resolution,[status(thm)],[f185,f359])).
% 85.71/11.26 fof(f25311,plain,(
% 85.71/11.26 ~spl0_9|~spl0_71|spl0_4),
% 85.71/11.26 inference(split_clause,[status(thm)],[f25310,f640,f4403,f357])).
% 85.71/11.26 fof(f25757,plain,(
% 85.71/11.26 ~spl0_70|spl0_9),
% 85.71/11.26 inference(split_clause,[status(thm)],[f3421,f4400,f640])).
% 85.71/11.26 fof(f25758,plain,(
% 85.71/11.26 $false),
% 85.71/11.26 inference(sat_refutation,[status(thm)],[f364,f398,f647,f878,f3235,f4407,f4728,f4804,f4885,f6497,f6695,f6746,f6797,f6850,f7022,f7282,f7452,f8080,f8129,f8180,f8447,f8817,f8827,f9620,f10939,f10945,f11023,f11077,f13808,f13880,f17432,f18673,f21896,f21898,f22374,f22427,f22578,f22680,f25311,f25757])).
% 85.71/11.26 % SZS output end CNFRefutation for theBenchmark.p
% 86.74/11.35 % Elapsed time: 11.003722 seconds
% 86.74/11.35 % CPU time: 86.231351 seconds
% 86.74/11.35 % Memory used: 547.719 MB
%------------------------------------------------------------------------------