TSTP Solution File: SET697+4 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET697+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:35:03 EDT 2023
% Result : Timeout 299.42s 38.05s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET697+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 10:17:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 299.42/38.05 % Refutation found
% 299.42/38.05 % SZS status Theorem for theBenchmark: Theorem is valid
% 299.42/38.05 % SZS output start CNFRefutation for theBenchmark
% 299.42/38.05 fof(f1,axiom,(
% 299.42/38.05 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 299.42/38.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 299.42/38.05 fof(f2,axiom,(
% 299.42/38.05 (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 299.42/38.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 299.42/38.05 fof(f3,axiom,(
% 299.42/38.05 (! [X,A] :( member(X,power_set(A))<=> subset(X,A) ) )),
% 299.42/38.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 299.42/38.05 fof(f4,axiom,(
% 299.42/38.05 (! [X,A,B] :( member(X,intersection(A,B))<=> ( member(X,A)& member(X,B) ) ) )),
% 299.42/38.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 299.42/38.05 fof(f5,axiom,(
% 299.42/38.05 (! [X,A,B] :( member(X,union(A,B))<=> ( member(X,A)| member(X,B) ) ) )),
% 299.42/38.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 299.42/38.05 fof(f6,axiom,(
% 299.42/38.05 (! [X] : ~ member(X,empty_set) )),
% 299.42/38.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 299.42/38.05 fof(f7,axiom,(
% 299.42/38.05 (! [B,A,E] :( member(B,difference(E,A))<=> ( member(B,E)& ~ member(B,A) ) ) )),
% 299.42/38.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 299.42/38.05 fof(f8,axiom,(
% 299.42/38.05 (! [X,A] :( member(X,singleton(A))<=> X = A ) )),
% 299.42/38.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 299.42/38.05 fof(f10,axiom,(
% 299.42/38.05 (! [X,A] :( member(X,sum(A))<=> (? [Y] :( member(Y,A)& member(X,Y) ) )) )),
% 299.42/38.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 299.42/38.05 fof(f11,axiom,(
% 299.42/38.05 (! [X,A] :( member(X,product(A))<=> (! [Y] :( member(Y,A)=> member(X,Y) ) )) )),
% 299.42/38.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 299.42/38.05 fof(f12,conjecture,(
% 299.42/38.05 (! [A,B,E] :( ( subset(A,E)& subset(B,E) )=> ( subset(A,B)<=> equal_set(intersection(A,difference(E,B)),empty_set) ) ) )),
% 299.42/38.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 299.42/38.05 fof(f13,negated_conjecture,(
% 299.42/38.05 ~((! [A,B,E] :( ( subset(A,E)& subset(B,E) )=> ( subset(A,B)<=> equal_set(intersection(A,difference(E,B)),empty_set) ) ) ))),
% 299.42/38.05 inference(negated_conjecture,[status(cth)],[f12])).
% 299.42/38.05 fof(f14,plain,(
% 299.42/38.05 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 299.42/38.05 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 299.42/38.05 fof(f15,plain,(
% 299.42/38.05 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 299.42/38.05 inference(NNF_transformation,[status(esa)],[f14])).
% 299.42/38.05 fof(f16,plain,(
% 299.42/38.05 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 299.42/38.05 inference(miniscoping,[status(esa)],[f15])).
% 299.42/38.05 fof(f17,plain,(
% 299.42/38.05 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(member(sk0_0(B,A),A)&~member(sk0_0(B,A),B))))),
% 299.42/38.05 inference(skolemization,[status(esa)],[f16])).
% 299.42/38.05 fof(f18,plain,(
% 299.42/38.05 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 299.42/38.05 inference(cnf_transformation,[status(esa)],[f17])).
% 299.42/38.05 fof(f19,plain,(
% 299.42/38.05 ![X0,X1]: (subset(X0,X1)|member(sk0_0(X1,X0),X0))),
% 299.42/38.05 inference(cnf_transformation,[status(esa)],[f17])).
% 299.42/38.05 fof(f20,plain,(
% 299.42/38.05 ![X0,X1]: (subset(X0,X1)|~member(sk0_0(X1,X0),X1))),
% 299.42/38.05 inference(cnf_transformation,[status(esa)],[f17])).
% 299.42/38.05 fof(f21,plain,(
% 299.42/38.05 ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 299.42/38.05 inference(NNF_transformation,[status(esa)],[f2])).
% 299.42/38.05 fof(f22,plain,(
% 299.42/38.05 (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 299.42/38.05 inference(miniscoping,[status(esa)],[f21])).
% 299.42/38.05 fof(f23,plain,(
% 299.42/38.05 ![X0,X1]: (~equal_set(X0,X1)|subset(X0,X1))),
% 299.42/38.05 inference(cnf_transformation,[status(esa)],[f22])).
% 299.42/38.05 fof(f25,plain,(
% 299.42/38.05 ![X0,X1]: (equal_set(X0,X1)|~subset(X0,X1)|~subset(X1,X0))),
% 299.42/38.05 inference(cnf_transformation,[status(esa)],[f22])).
% 299.42/38.05 fof(f26,plain,(
% 299.42/38.05 ![X,A]: ((~member(X,power_set(A))|subset(X,A))&(member(X,power_set(A))|~subset(X,A)))),
% 299.42/38.05 inference(NNF_transformation,[status(esa)],[f3])).
% 299.42/38.05 fof(f27,plain,(
% 299.42/38.05 (![X,A]: (~member(X,power_set(A))|subset(X,A)))&(![X,A]: (member(X,power_set(A))|~subset(X,A)))),
% 299.42/38.05 inference(miniscoping,[status(esa)],[f26])).
% 299.42/38.05 fof(f28,plain,(
% 299.42/38.05 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1))),
% 299.42/38.05 inference(cnf_transformation,[status(esa)],[f27])).
% 299.42/38.06 fof(f29,plain,(
% 299.42/38.06 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1))),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f27])).
% 299.42/38.06 fof(f30,plain,(
% 299.42/38.06 ![X,A,B]: ((~member(X,intersection(A,B))|(member(X,A)&member(X,B)))&(member(X,intersection(A,B))|(~member(X,A)|~member(X,B))))),
% 299.42/38.06 inference(NNF_transformation,[status(esa)],[f4])).
% 299.42/38.06 fof(f31,plain,(
% 299.42/38.06 (![X,A,B]: (~member(X,intersection(A,B))|(member(X,A)&member(X,B))))&(![X,A,B]: (member(X,intersection(A,B))|(~member(X,A)|~member(X,B))))),
% 299.42/38.06 inference(miniscoping,[status(esa)],[f30])).
% 299.42/38.06 fof(f32,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f31])).
% 299.42/38.06 fof(f33,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f31])).
% 299.42/38.06 fof(f34,plain,(
% 299.42/38.06 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f31])).
% 299.42/38.06 fof(f35,plain,(
% 299.42/38.06 ![X,A,B]: ((~member(X,union(A,B))|(member(X,A)|member(X,B)))&(member(X,union(A,B))|(~member(X,A)&~member(X,B))))),
% 299.42/38.06 inference(NNF_transformation,[status(esa)],[f5])).
% 299.42/38.06 fof(f36,plain,(
% 299.42/38.06 (![X,A,B]: (~member(X,union(A,B))|(member(X,A)|member(X,B))))&(![X,A,B]: (member(X,union(A,B))|(~member(X,A)&~member(X,B))))),
% 299.42/38.06 inference(miniscoping,[status(esa)],[f35])).
% 299.42/38.06 fof(f38,plain,(
% 299.42/38.06 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X1))),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f36])).
% 299.42/38.06 fof(f40,plain,(
% 299.42/38.06 ![X0]: (~member(X0,empty_set))),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f6])).
% 299.42/38.06 fof(f41,plain,(
% 299.42/38.06 ![B,A,E]: ((~member(B,difference(E,A))|(member(B,E)&~member(B,A)))&(member(B,difference(E,A))|(~member(B,E)|member(B,A))))),
% 299.42/38.06 inference(NNF_transformation,[status(esa)],[f7])).
% 299.42/38.06 fof(f42,plain,(
% 299.42/38.06 (![B,A,E]: (~member(B,difference(E,A))|(member(B,E)&~member(B,A))))&(![B,A,E]: (member(B,difference(E,A))|(~member(B,E)|member(B,A))))),
% 299.42/38.06 inference(miniscoping,[status(esa)],[f41])).
% 299.42/38.06 fof(f43,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f42])).
% 299.42/38.06 fof(f44,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f42])).
% 299.42/38.06 fof(f45,plain,(
% 299.42/38.06 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f42])).
% 299.42/38.06 fof(f46,plain,(
% 299.42/38.06 ![X,A]: ((~member(X,singleton(A))|X=A)&(member(X,singleton(A))|~X=A))),
% 299.42/38.06 inference(NNF_transformation,[status(esa)],[f8])).
% 299.42/38.06 fof(f47,plain,(
% 299.42/38.06 (![X,A]: (~member(X,singleton(A))|X=A))&(![X,A]: (member(X,singleton(A))|~X=A))),
% 299.42/38.06 inference(miniscoping,[status(esa)],[f46])).
% 299.42/38.06 fof(f48,plain,(
% 299.42/38.06 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f47])).
% 299.42/38.06 fof(f49,plain,(
% 299.42/38.06 ![X0,X1]: (member(X0,singleton(X1))|~X0=X1)),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f47])).
% 299.42/38.06 fof(f55,plain,(
% 299.42/38.06 ![X,A]: ((~member(X,sum(A))|(?[Y]: (member(Y,A)&member(X,Y))))&(member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 299.42/38.06 inference(NNF_transformation,[status(esa)],[f10])).
% 299.42/38.06 fof(f56,plain,(
% 299.42/38.06 (![X,A]: (~member(X,sum(A))|(?[Y]: (member(Y,A)&member(X,Y)))))&(![X,A]: (member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 299.42/38.06 inference(miniscoping,[status(esa)],[f55])).
% 299.42/38.06 fof(f57,plain,(
% 299.42/38.06 (![X,A]: (~member(X,sum(A))|(member(sk0_1(A,X),A)&member(X,sk0_1(A,X)))))&(![X,A]: (member(X,sum(A))|(![Y]: (~member(Y,A)|~member(X,Y)))))),
% 299.42/38.06 inference(skolemization,[status(esa)],[f56])).
% 299.42/38.06 fof(f58,plain,(
% 299.42/38.06 ![X0,X1]: (~member(X0,sum(X1))|member(sk0_1(X1,X0),X1))),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f57])).
% 299.42/38.06 fof(f60,plain,(
% 299.42/38.06 ![X0,X1,X2]: (member(X0,sum(X1))|~member(X2,X1)|~member(X0,X2))),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f57])).
% 299.42/38.06 fof(f61,plain,(
% 299.42/38.06 ![X,A]: (member(X,product(A))<=>(![Y]: (~member(Y,A)|member(X,Y))))),
% 299.42/38.06 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 299.42/38.06 fof(f62,plain,(
% 299.42/38.06 ![X,A]: ((~member(X,product(A))|(![Y]: (~member(Y,A)|member(X,Y))))&(member(X,product(A))|(?[Y]: (member(Y,A)&~member(X,Y)))))),
% 299.42/38.06 inference(NNF_transformation,[status(esa)],[f61])).
% 299.42/38.06 fof(f63,plain,(
% 299.42/38.06 (![X,A]: (~member(X,product(A))|(![Y]: (~member(Y,A)|member(X,Y)))))&(![X,A]: (member(X,product(A))|(?[Y]: (member(Y,A)&~member(X,Y)))))),
% 299.42/38.06 inference(miniscoping,[status(esa)],[f62])).
% 299.42/38.06 fof(f64,plain,(
% 299.42/38.06 (![X,A]: (~member(X,product(A))|(![Y]: (~member(Y,A)|member(X,Y)))))&(![X,A]: (member(X,product(A))|(member(sk0_2(A,X),A)&~member(X,sk0_2(A,X)))))),
% 299.42/38.06 inference(skolemization,[status(esa)],[f63])).
% 299.42/38.06 fof(f65,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~member(X0,product(X1))|~member(X2,X1)|member(X0,X2))),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f64])).
% 299.42/38.06 fof(f66,plain,(
% 299.42/38.06 ![X0,X1]: (member(X0,product(X1))|member(sk0_2(X1,X0),X1))),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f64])).
% 299.42/38.06 fof(f68,plain,(
% 299.42/38.06 (?[A,B,E]: ((subset(A,E)&subset(B,E))&(subset(A,B)<~>equal_set(intersection(A,difference(E,B)),empty_set))))),
% 299.42/38.06 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 299.42/38.06 fof(f69,plain,(
% 299.42/38.06 ?[A,B,E]: ((subset(A,E)&subset(B,E))&((subset(A,B)|equal_set(intersection(A,difference(E,B)),empty_set))&(~subset(A,B)|~equal_set(intersection(A,difference(E,B)),empty_set))))),
% 299.42/38.06 inference(NNF_transformation,[status(esa)],[f68])).
% 299.42/38.06 fof(f70,plain,(
% 299.42/38.06 ((subset(sk0_3,sk0_5)&subset(sk0_4,sk0_5))&((subset(sk0_3,sk0_4)|equal_set(intersection(sk0_3,difference(sk0_5,sk0_4)),empty_set))&(~subset(sk0_3,sk0_4)|~equal_set(intersection(sk0_3,difference(sk0_5,sk0_4)),empty_set))))),
% 299.42/38.06 inference(skolemization,[status(esa)],[f69])).
% 299.42/38.06 fof(f71,plain,(
% 299.42/38.06 subset(sk0_3,sk0_5)),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f70])).
% 299.42/38.06 fof(f72,plain,(
% 299.42/38.06 subset(sk0_4,sk0_5)),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f70])).
% 299.42/38.06 fof(f73,plain,(
% 299.42/38.06 subset(sk0_3,sk0_4)|equal_set(intersection(sk0_3,difference(sk0_5,sk0_4)),empty_set)),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f70])).
% 299.42/38.06 fof(f74,plain,(
% 299.42/38.06 ~subset(sk0_3,sk0_4)|~equal_set(intersection(sk0_3,difference(sk0_5,sk0_4)),empty_set)),
% 299.42/38.06 inference(cnf_transformation,[status(esa)],[f70])).
% 299.42/38.06 fof(f75,plain,(
% 299.42/38.06 spl0_0 <=> subset(sk0_3,sk0_4)),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f76,plain,(
% 299.42/38.06 subset(sk0_3,sk0_4)|~spl0_0),
% 299.42/38.06 inference(component_clause,[status(thm)],[f75])).
% 299.42/38.06 fof(f78,plain,(
% 299.42/38.06 spl0_1 <=> equal_set(intersection(sk0_3,difference(sk0_5,sk0_4)),empty_set)),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f79,plain,(
% 299.42/38.06 equal_set(intersection(sk0_3,difference(sk0_5,sk0_4)),empty_set)|~spl0_1),
% 299.42/38.06 inference(component_clause,[status(thm)],[f78])).
% 299.42/38.06 fof(f80,plain,(
% 299.42/38.06 ~equal_set(intersection(sk0_3,difference(sk0_5,sk0_4)),empty_set)|spl0_1),
% 299.42/38.06 inference(component_clause,[status(thm)],[f78])).
% 299.42/38.06 fof(f81,plain,(
% 299.42/38.06 spl0_0|spl0_1),
% 299.42/38.06 inference(split_clause,[status(thm)],[f73,f75,f78])).
% 299.42/38.06 fof(f82,plain,(
% 299.42/38.06 ~spl0_0|~spl0_1),
% 299.42/38.06 inference(split_clause,[status(thm)],[f74,f75,f78])).
% 299.42/38.06 fof(f83,plain,(
% 299.42/38.06 ![X0]: (member(X0,singleton(X0)))),
% 299.42/38.06 inference(destructive_equality_resolution,[status(esa)],[f49])).
% 299.42/38.06 fof(f102,plain,(
% 299.42/38.06 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X0,X2)|~subset(intersection(X1,X2),X3)|member(X0,X3))),
% 299.42/38.06 inference(resolution,[status(thm)],[f34,f18])).
% 299.42/38.06 fof(f104,plain,(
% 299.42/38.06 ![X0,X1]: (~subset(singleton(X0),X1)|member(X0,X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f83,f18])).
% 299.42/38.06 fof(f105,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|~member(sk0_0(X2,difference(X0,X1)),X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f19,f44])).
% 299.42/38.06 fof(f106,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|member(sk0_0(X2,difference(X0,X1)),X0))),
% 299.42/38.06 inference(resolution,[status(thm)],[f19,f43])).
% 299.42/38.06 fof(f107,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(sk0_0(X2,intersection(X0,X1)),X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f19,f33])).
% 299.42/38.06 fof(f108,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(intersection(X0,X1),X2)|member(sk0_0(X2,intersection(X0,X1)),X0))),
% 299.42/38.06 inference(resolution,[status(thm)],[f19,f32])).
% 299.42/38.06 fof(f109,plain,(
% 299.42/38.06 ![X0]: (subset(empty_set,X0))),
% 299.42/38.06 inference(resolution,[status(thm)],[f19,f40])).
% 299.42/38.06 fof(f110,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|member(sk0_0(X1,X0),X2))),
% 299.42/38.06 inference(resolution,[status(thm)],[f19,f18])).
% 299.42/38.06 fof(f111,plain,(
% 299.42/38.06 ![X0]: (equal_set(X0,empty_set)|~subset(X0,empty_set))),
% 299.42/38.06 inference(resolution,[status(thm)],[f109,f25])).
% 299.42/38.06 fof(f114,plain,(
% 299.42/38.06 ![X0,X1]: (sk0_0(X0,singleton(X1))=X1|subset(singleton(X1),X0))),
% 299.42/38.06 inference(resolution,[status(thm)],[f48,f19])).
% 299.42/38.06 fof(f115,plain,(
% 299.42/38.06 ![X0,X1]: (subset(sk0_0(X0,power_set(X1)),X1)|subset(power_set(X1),X0))),
% 299.42/38.06 inference(resolution,[status(thm)],[f28,f19])).
% 299.42/38.06 fof(f122,plain,(
% 299.42/38.06 ![X0,X1]: (subset(X0,power_set(X1))|~subset(sk0_0(power_set(X1),X0),X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f20,f29])).
% 299.42/38.06 fof(f123,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(X0,difference(X1,X2))|~member(sk0_0(difference(X1,X2),X0),X1)|member(sk0_0(difference(X1,X2),X0),X2))),
% 299.42/38.06 inference(resolution,[status(thm)],[f20,f45])).
% 299.42/38.06 fof(f133,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~member(sk0_0(union(X0,X1),X2),X0)|subset(X2,union(X0,X1)))),
% 299.42/38.06 inference(resolution,[status(thm)],[f38,f20])).
% 299.42/38.06 fof(f144,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~member(X0,sum(difference(X1,X2)))|~member(sk0_1(difference(X1,X2),X0),X2))),
% 299.42/38.06 inference(resolution,[status(thm)],[f58,f44])).
% 299.42/38.06 fof(f148,plain,(
% 299.42/38.06 ![X0]: (~member(X0,sum(empty_set)))),
% 299.42/38.06 inference(resolution,[status(thm)],[f58,f40])).
% 299.42/38.06 fof(f149,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~member(X0,sum(X1))|~subset(X1,X2)|member(sk0_1(X1,X0),X2))),
% 299.42/38.06 inference(resolution,[status(thm)],[f58,f18])).
% 299.42/38.06 fof(f185,plain,(
% 299.42/38.06 ![X0,X1]: (subset(difference(X0,X1),X0)|subset(difference(X0,X1),X0))),
% 299.42/38.06 inference(resolution,[status(thm)],[f106,f20])).
% 299.42/38.06 fof(f186,plain,(
% 299.42/38.06 ![X0,X1]: (subset(difference(X0,X1),X0))),
% 299.42/38.06 inference(duplicate_literals_removal,[status(esa)],[f185])).
% 299.42/38.06 fof(f209,plain,(
% 299.42/38.06 ![X0,X1,X2,X3]: (subset(intersection(X0,difference(X1,X2)),X3)|~member(sk0_0(X3,intersection(X0,difference(X1,X2))),X2))),
% 299.42/38.06 inference(resolution,[status(thm)],[f107,f44])).
% 299.42/38.06 fof(f269,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|~subset(difference(X0,X1),X1)|subset(difference(X0,X1),X2))),
% 299.42/38.06 inference(resolution,[status(thm)],[f110,f105])).
% 299.42/38.06 fof(f270,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(difference(X0,X1),X2)|~subset(difference(X0,X1),X1))),
% 299.42/38.06 inference(duplicate_literals_removal,[status(esa)],[f269])).
% 299.42/38.06 fof(f279,plain,(
% 299.42/38.06 ![X0,X1,X2,X3]: (subset(X0,X1)|~subset(X0,difference(X2,X3))|~member(sk0_0(X1,X0),X3))),
% 299.42/38.06 inference(resolution,[status(thm)],[f110,f44])).
% 299.42/38.06 fof(f284,plain,(
% 299.42/38.06 ![X0,X1,X2,X3]: (subset(X0,X1)|~subset(X0,X2)|~subset(X2,X3)|member(sk0_0(X1,X0),X3))),
% 299.42/38.06 inference(resolution,[status(thm)],[f110,f18])).
% 299.42/38.06 fof(f313,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(intersection(X0,X1),difference(X0,X2))|member(sk0_0(difference(X0,X2),intersection(X0,X1)),X2)|subset(intersection(X0,X1),difference(X0,X2)))),
% 299.42/38.06 inference(resolution,[status(thm)],[f123,f108])).
% 299.42/38.06 fof(f314,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(intersection(X0,X1),difference(X0,X2))|member(sk0_0(difference(X0,X2),intersection(X0,X1)),X2))),
% 299.42/38.06 inference(duplicate_literals_removal,[status(esa)],[f313])).
% 299.42/38.06 fof(f319,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(X0,difference(X1,X2))|member(sk0_0(difference(X1,X2),X0),X2)|subset(X0,difference(X1,X2))|~subset(X0,X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f123,f110])).
% 299.42/38.06 fof(f320,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(X0,difference(X1,X2))|member(sk0_0(difference(X1,X2),X0),X2)|~subset(X0,X1))),
% 299.42/38.06 inference(duplicate_literals_removal,[status(esa)],[f319])).
% 299.42/38.06 fof(f431,plain,(
% 299.42/38.06 ![X0]: (member(X0,product(sum(empty_set))))),
% 299.42/38.06 inference(resolution,[status(thm)],[f66,f148])).
% 299.42/38.06 fof(f436,plain,(
% 299.42/38.06 ![X0,X1,X2]: (member(X0,product(difference(X1,X2)))|~member(sk0_2(difference(X1,X2),X0),X2))),
% 299.42/38.06 inference(resolution,[status(thm)],[f66,f44])).
% 299.42/38.06 fof(f437,plain,(
% 299.42/38.06 ![X0,X1,X2]: (member(X0,product(difference(X1,X2)))|member(sk0_2(difference(X1,X2),X0),X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f66,f43])).
% 299.42/38.06 fof(f440,plain,(
% 299.42/38.06 ![X0]: (member(X0,product(empty_set)))),
% 299.42/38.06 inference(resolution,[status(thm)],[f66,f40])).
% 299.42/38.06 fof(f441,plain,(
% 299.42/38.06 ![X0,X1,X2]: (member(X0,product(X1))|~subset(X1,X2)|member(sk0_2(X1,X0),X2))),
% 299.42/38.06 inference(resolution,[status(thm)],[f66,f18])).
% 299.42/38.06 fof(f446,plain,(
% 299.42/38.06 ![X0,X1]: (~subset(product(empty_set),X0)|member(X1,X0))),
% 299.42/38.06 inference(resolution,[status(thm)],[f440,f18])).
% 299.42/38.06 fof(f459,plain,(
% 299.42/38.06 ![X0,X1]: (~subset(product(sum(empty_set)),X0)|member(X1,X0))),
% 299.42/38.06 inference(resolution,[status(thm)],[f431,f18])).
% 299.42/38.06 fof(f497,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~member(X0,X1)|~member(sk0_0(sum(X1),X2),X0)|subset(X2,sum(X1)))),
% 299.42/38.06 inference(resolution,[status(thm)],[f60,f20])).
% 299.42/38.06 fof(f509,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~member(X0,X1)|member(sk0_0(X2,product(X1)),X0)|subset(product(X1),X2))),
% 299.42/38.06 inference(resolution,[status(thm)],[f65,f19])).
% 299.42/38.06 fof(f770,plain,(
% 299.42/38.06 ![X0,X1]: (~member(X0,sum(X1))|~subset(X1,empty_set))),
% 299.42/38.06 inference(resolution,[status(thm)],[f149,f40])).
% 299.42/38.06 fof(f821,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~subset(X0,empty_set)|~member(X1,X0)|~member(X2,X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f770,f60])).
% 299.42/38.06 fof(f902,plain,(
% 299.42/38.06 ![X0,X1]: (member(X0,product(difference(X1,X1)))|member(X0,product(difference(X1,X1))))),
% 299.42/38.06 inference(resolution,[status(thm)],[f437,f436])).
% 299.42/38.06 fof(f903,plain,(
% 299.42/38.06 ![X0,X1]: (member(X0,product(difference(X1,X1))))),
% 299.42/38.06 inference(duplicate_literals_removal,[status(esa)],[f902])).
% 299.42/38.06 fof(f936,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~subset(product(difference(X0,X0)),X1)|member(X2,X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f903,f18])).
% 299.42/38.06 fof(f1091,plain,(
% 299.42/38.06 ![X0,X1]: (subset(singleton(X0),X1)|~member(X0,X1)|subset(singleton(X0),X1))),
% 299.42/38.06 inference(paramodulation,[status(thm)],[f114,f20])).
% 299.42/38.06 fof(f1092,plain,(
% 299.42/38.06 ![X0,X1]: (subset(singleton(X0),X1)|~member(X0,X1))),
% 299.42/38.06 inference(duplicate_literals_removal,[status(esa)],[f1091])).
% 299.42/38.06 fof(f1341,plain,(
% 299.42/38.06 ![X0,X1]: (member(X0,product(X1))|~subset(X1,empty_set))),
% 299.42/38.06 inference(resolution,[status(thm)],[f441,f40])).
% 299.42/38.06 fof(f1387,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~subset(X0,empty_set)|~member(X1,X0)|member(X2,X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f1341,f65])).
% 299.42/38.06 fof(f1388,plain,(
% 299.42/38.06 ![X0,X1]: (~subset(X0,empty_set)|~member(X1,X0))),
% 299.42/38.06 inference(forward_subsumption_resolution,[status(thm)],[f1387,f821])).
% 299.42/38.06 fof(f1403,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~subset(X0,empty_set)|subset(X1,X2)|~subset(X1,X0))),
% 299.42/38.06 inference(resolution,[status(thm)],[f1388,f110])).
% 299.42/38.06 fof(f1423,plain,(
% 299.42/38.06 ![X0,X1]: (~subset(power_set(X0),empty_set)|~subset(X1,X0))),
% 299.42/38.06 inference(resolution,[status(thm)],[f1388,f29])).
% 299.42/38.06 fof(f1932,plain,(
% 299.42/38.06 ![X0,X1]: (subset(X0,union(product(empty_set),X1)))),
% 299.42/38.06 inference(resolution,[status(thm)],[f133,f440])).
% 299.42/38.06 fof(f2027,plain,(
% 299.42/38.06 ![X0,X1]: (member(X0,union(product(empty_set),X1)))),
% 299.42/38.06 inference(resolution,[status(thm)],[f1932,f459])).
% 299.42/38.06 fof(f7212,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,difference(X2,X0))|subset(X0,X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f279,f19])).
% 299.42/38.06 fof(f7213,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,difference(X2,X0)))),
% 299.42/38.06 inference(duplicate_literals_removal,[status(esa)],[f7212])).
% 299.42/38.06 fof(f8610,plain,(
% 299.42/38.06 ![X0,X1]: (~member(X0,X1)|subset(X0,sum(X1))|subset(X0,sum(X1)))),
% 299.42/38.06 inference(resolution,[status(thm)],[f497,f19])).
% 299.42/38.06 fof(f8611,plain,(
% 299.42/38.06 ![X0,X1]: (~member(X0,X1)|subset(X0,sum(X1)))),
% 299.42/38.06 inference(duplicate_literals_removal,[status(esa)],[f8610])).
% 299.42/38.06 fof(f8900,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|~subset(X2,X1)|subset(X0,X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f284,f20])).
% 299.42/38.06 fof(f8901,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|~subset(X2,X1))),
% 299.42/38.06 inference(duplicate_literals_removal,[status(esa)],[f8900])).
% 299.42/38.06 fof(f9114,plain,(
% 299.42/38.06 ![X0]: (subset(X0,sk0_5)|~subset(X0,sk0_4))),
% 299.42/38.06 inference(resolution,[status(thm)],[f8901,f72])).
% 299.42/38.06 fof(f9115,plain,(
% 299.42/38.06 ![X0]: (subset(X0,sk0_4)|~subset(X0,sk0_3)|~spl0_0)),
% 299.42/38.06 inference(resolution,[status(thm)],[f8901,f76])).
% 299.42/38.06 fof(f9116,plain,(
% 299.42/38.06 ![X0]: (subset(X0,sk0_5)|~subset(X0,sk0_3))),
% 299.42/38.06 inference(resolution,[status(thm)],[f8901,f71])).
% 299.42/38.06 fof(f9248,plain,(
% 299.42/38.06 ![X0]: (subset(difference(sk0_3,X0),sk0_4)|~spl0_0)),
% 299.42/38.06 inference(resolution,[status(thm)],[f9115,f186])).
% 299.42/38.06 fof(f9285,plain,(
% 299.42/38.06 ![X0]: (subset(difference(sk0_3,sk0_4),X0)|~spl0_0)),
% 299.42/38.06 inference(resolution,[status(thm)],[f9248,f270])).
% 299.42/38.06 fof(f9312,plain,(
% 299.42/38.06 ![X0,X1]: (subset(X0,X1)|~subset(X0,difference(sk0_3,sk0_4))|~spl0_0)),
% 299.42/38.06 inference(resolution,[status(thm)],[f9285,f1403])).
% 299.42/38.06 fof(f9575,plain,(
% 299.42/38.06 ![X0]: (subset(sk0_0(X0,power_set(sk0_4)),sk0_5)|subset(power_set(sk0_4),X0))),
% 299.42/38.06 inference(resolution,[status(thm)],[f9114,f115])).
% 299.42/38.06 fof(f9731,plain,(
% 299.42/38.06 ![X0]: (subset(sk0_0(X0,power_set(sk0_3)),sk0_5)|subset(power_set(sk0_3),X0))),
% 299.42/38.06 inference(resolution,[status(thm)],[f9116,f115])).
% 299.42/38.06 fof(f10344,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(intersection(X0,difference(X1,X2)),difference(X0,X2))|subset(intersection(X0,difference(X1,X2)),difference(X0,X2)))),
% 299.42/38.06 inference(resolution,[status(thm)],[f314,f209])).
% 299.42/38.06 fof(f10345,plain,(
% 299.42/38.06 ![X0,X1,X2]: (subset(intersection(X0,difference(X1,X2)),difference(X0,X2)))),
% 299.42/38.06 inference(duplicate_literals_removal,[status(esa)],[f10344])).
% 299.42/38.06 fof(f10559,plain,(
% 299.42/38.06 ![X0,X1]: (~member(singleton(X0),X1)|member(X0,sum(X1)))),
% 299.42/38.06 inference(resolution,[status(thm)],[f8611,f104])).
% 299.42/38.06 fof(f10729,plain,(
% 299.42/38.06 ![X0,X1]: (~member(empty_set,X0)|subset(product(X0),X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f509,f40])).
% 299.42/38.06 fof(f10943,plain,(
% 299.42/38.06 ![X0,X1]: (subset(X0,difference(X1,empty_set))|~subset(X0,X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f320,f40])).
% 299.42/38.06 fof(f11069,plain,(
% 299.42/38.06 ![X0]: (subset(singleton(X0),sk0_5)|~member(X0,sk0_3))),
% 299.42/38.06 inference(resolution,[status(thm)],[f9116,f1092])).
% 299.42/38.06 fof(f11073,plain,(
% 299.42/38.06 subset(intersection(sk0_3,difference(sk0_5,sk0_4)),empty_set)|~spl0_1),
% 299.42/38.06 inference(resolution,[status(thm)],[f79,f23])).
% 299.42/38.06 fof(f11074,plain,(
% 299.42/38.06 ![X0]: (~member(X0,sk0_3)|~member(X0,difference(sk0_5,sk0_4))|member(X0,empty_set)|~spl0_1)),
% 299.42/38.06 inference(resolution,[status(thm)],[f11073,f102])).
% 299.42/38.06 fof(f11075,plain,(
% 299.42/38.06 ![X0]: (~member(X0,sk0_3)|~member(X0,difference(sk0_5,sk0_4))|~spl0_1)),
% 299.42/38.06 inference(forward_subsumption_resolution,[status(thm)],[f11074,f40])).
% 299.42/38.06 fof(f11083,plain,(
% 299.42/38.06 spl0_10 <=> subset(empty_set,intersection(sk0_3,difference(sk0_5,sk0_4)))),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f11085,plain,(
% 299.42/38.06 ~subset(empty_set,intersection(sk0_3,difference(sk0_5,sk0_4)))|spl0_10),
% 299.42/38.06 inference(component_clause,[status(thm)],[f11083])).
% 299.42/38.06 fof(f11088,plain,(
% 299.42/38.06 $false|spl0_10),
% 299.42/38.06 inference(forward_subsumption_resolution,[status(thm)],[f11085,f109])).
% 299.42/38.06 fof(f11089,plain,(
% 299.42/38.06 spl0_10),
% 299.42/38.06 inference(contradiction_clause,[status(thm)],[f11088])).
% 299.42/38.06 fof(f11723,plain,(
% 299.42/38.06 spl0_13 <=> ~member(empty_set,difference(X0,X0))),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f11726,plain,(
% 299.42/38.06 spl0_14 <=> member(X1,X2)),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f11727,plain,(
% 299.42/38.06 ![X0,X1]: (member(X0,X1)|~spl0_14)),
% 299.42/38.06 inference(component_clause,[status(thm)],[f11726])).
% 299.42/38.06 fof(f11729,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~member(empty_set,difference(X0,X0))|member(X1,X2))),
% 299.42/38.06 inference(resolution,[status(thm)],[f10729,f936])).
% 299.42/38.06 fof(f11730,plain,(
% 299.42/38.06 spl0_13|spl0_14),
% 299.42/38.06 inference(split_clause,[status(thm)],[f11729,f11723,f11726])).
% 299.42/38.06 fof(f11735,plain,(
% 299.42/38.06 spl0_15 <=> member(empty_set,sum(empty_set))),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f11738,plain,(
% 299.42/38.06 ![X0,X1]: (~member(empty_set,sum(empty_set))|member(X0,X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f10729,f459])).
% 299.42/38.06 fof(f11739,plain,(
% 299.42/38.06 ~spl0_15|spl0_14),
% 299.42/38.06 inference(split_clause,[status(thm)],[f11738,f11735,f11726])).
% 299.42/38.06 fof(f11741,plain,(
% 299.42/38.06 spl0_16 <=> member(empty_set,empty_set)),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f11744,plain,(
% 299.42/38.06 ![X0,X1]: (~member(empty_set,empty_set)|member(X0,X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f10729,f446])).
% 299.42/38.06 fof(f11745,plain,(
% 299.42/38.06 ~spl0_16|spl0_14),
% 299.42/38.06 inference(split_clause,[status(thm)],[f11744,f11741,f11726])).
% 299.42/38.06 fof(f11784,plain,(
% 299.42/38.06 ![X0,X1,X2]: (~member(sk0_1(difference(X0,X1),X2),X1)|~spl0_14)),
% 299.42/38.06 inference(backward_subsumption_resolution,[status(thm)],[f144,f11727])).
% 299.42/38.06 fof(f11785,plain,(
% 299.42/38.06 $false|~spl0_14),
% 299.42/38.06 inference(forward_subsumption_resolution,[status(thm)],[f11784,f11727])).
% 299.42/38.06 fof(f11786,plain,(
% 299.42/38.06 ~spl0_14),
% 299.42/38.06 inference(contradiction_clause,[status(thm)],[f11785])).
% 299.42/38.06 fof(f16345,plain,(
% 299.42/38.06 spl0_145 <=> ~subset(empty_set,X0)),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f16346,plain,(
% 299.42/38.06 ![X0]: (~subset(empty_set,X0)|~spl0_145)),
% 299.42/38.06 inference(component_clause,[status(thm)],[f16345])).
% 299.42/38.06 fof(f16348,plain,(
% 299.42/38.06 spl0_146 <=> subset(empty_set,X1)),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f16351,plain,(
% 299.42/38.06 ![X0,X1]: (~subset(empty_set,X0)|subset(empty_set,X1))),
% 299.42/38.06 inference(resolution,[status(thm)],[f10943,f7213])).
% 299.42/38.06 fof(f16352,plain,(
% 299.42/38.06 spl0_145|spl0_146),
% 299.42/38.06 inference(split_clause,[status(thm)],[f16351,f16345,f16348])).
% 299.42/38.06 fof(f16357,plain,(
% 299.42/38.06 $false|~spl0_145),
% 299.42/38.06 inference(forward_subsumption_resolution,[status(thm)],[f16346,f109])).
% 299.42/38.06 fof(f16358,plain,(
% 299.42/38.06 ~spl0_145),
% 299.42/38.06 inference(contradiction_clause,[status(thm)],[f16357])).
% 299.42/38.06 fof(f16997,plain,(
% 299.42/38.06 spl0_152 <=> subset(power_set(sk0_3),X0)),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f16998,plain,(
% 299.42/38.06 ![X0]: (subset(power_set(sk0_3),X0)|~spl0_152)),
% 299.42/38.06 inference(component_clause,[status(thm)],[f16997])).
% 299.42/38.06 fof(f17296,plain,(
% 299.42/38.06 ![X0]: (~subset(X0,sk0_3)|~spl0_152)),
% 299.42/38.06 inference(resolution,[status(thm)],[f16998,f1423])).
% 299.42/38.06 fof(f17330,plain,(
% 299.42/38.06 $false|~spl0_152),
% 299.42/38.06 inference(resolution,[status(thm)],[f17296,f16998])).
% 299.42/38.06 fof(f17331,plain,(
% 299.42/38.06 ~spl0_152),
% 299.42/38.06 inference(contradiction_clause,[status(thm)],[f17330])).
% 299.42/38.06 fof(f17753,plain,(
% 299.42/38.06 spl0_154 <=> subset(power_set(sk0_4),power_set(sk0_5))),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f17756,plain,(
% 299.42/38.06 subset(power_set(sk0_4),power_set(sk0_5))|subset(power_set(sk0_4),power_set(sk0_5))),
% 299.42/38.06 inference(resolution,[status(thm)],[f9575,f122])).
% 299.42/38.06 fof(f17757,plain,(
% 299.42/38.06 spl0_154),
% 299.42/38.06 inference(split_clause,[status(thm)],[f17756,f17753])).
% 299.42/38.06 fof(f18022,plain,(
% 299.42/38.06 ![X0,X1]: (member(X0,sum(union(product(empty_set),X1))))),
% 299.42/38.06 inference(resolution,[status(thm)],[f10559,f2027])).
% 299.42/38.06 fof(f18210,plain,(
% 299.42/38.06 spl0_157 <=> member(X0,product(power_set(sk0_3)))),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f18211,plain,(
% 299.42/38.06 ![X0]: (member(X0,product(power_set(sk0_3)))|~spl0_157)),
% 299.42/38.06 inference(component_clause,[status(thm)],[f18210])).
% 299.42/38.06 fof(f18489,plain,(
% 299.42/38.06 ~subset(product(power_set(sk0_3)),empty_set)|~spl0_157),
% 299.42/38.06 inference(resolution,[status(thm)],[f18211,f1388])).
% 299.42/38.06 fof(f18490,plain,(
% 299.42/38.06 spl0_159 <=> ~member(X1,power_set(sk0_3))),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f18491,plain,(
% 299.42/38.06 ![X0]: (~member(X0,power_set(sk0_3))|~spl0_159)),
% 299.42/38.06 inference(component_clause,[status(thm)],[f18490])).
% 299.42/38.06 fof(f18533,plain,(
% 299.42/38.06 spl0_161 <=> subset(sk0_4,sk0_5)),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f18535,plain,(
% 299.42/38.06 ~subset(sk0_4,sk0_5)|spl0_161),
% 299.42/38.06 inference(component_clause,[status(thm)],[f18533])).
% 299.42/38.06 fof(f18538,plain,(
% 299.42/38.06 $false|spl0_161),
% 299.42/38.06 inference(forward_subsumption_resolution,[status(thm)],[f18535,f72])).
% 299.42/38.06 fof(f18539,plain,(
% 299.42/38.06 spl0_161),
% 299.42/38.06 inference(contradiction_clause,[status(thm)],[f18538])).
% 299.42/38.06 fof(f18542,plain,(
% 299.42/38.06 ![X0]: (subset(power_set(sk0_3),X0)|~spl0_159)),
% 299.42/38.06 inference(resolution,[status(thm)],[f18491,f19])).
% 299.42/38.06 fof(f18543,plain,(
% 299.42/38.06 spl0_152|~spl0_159),
% 299.42/38.06 inference(split_clause,[status(thm)],[f18542,f16997,f18490])).
% 299.42/38.06 fof(f21302,plain,(
% 299.42/38.06 ~member(empty_set,power_set(sk0_3))|~spl0_157),
% 299.42/38.06 inference(resolution,[status(thm)],[f18489,f10729])).
% 299.42/38.06 fof(f21304,plain,(
% 299.42/38.06 ~subset(empty_set,sk0_3)|~spl0_157),
% 299.42/38.06 inference(resolution,[status(thm)],[f21302,f29])).
% 299.42/38.06 fof(f21305,plain,(
% 299.42/38.06 $false|~spl0_157),
% 299.42/38.06 inference(forward_subsumption_resolution,[status(thm)],[f21304,f109])).
% 299.42/38.06 fof(f21306,plain,(
% 299.42/38.06 ~spl0_157),
% 299.42/38.06 inference(contradiction_clause,[status(thm)],[f21305])).
% 299.42/38.06 fof(f31711,plain,(
% 299.42/38.06 ![X0]: (~member(X0,sk0_3)|member(X0,sk0_5))),
% 299.42/38.06 inference(resolution,[status(thm)],[f11069,f104])).
% 299.42/38.06 fof(f31940,plain,(
% 299.42/38.06 ![X0]: (~member(X0,sk0_3)|~member(X0,sk0_5)|member(X0,sk0_4)|~spl0_1)),
% 299.42/38.06 inference(resolution,[status(thm)],[f11075,f45])).
% 299.42/38.06 fof(f31941,plain,(
% 299.42/38.06 ![X0]: (~member(X0,sk0_3)|member(X0,sk0_4)|~spl0_1)),
% 299.42/38.06 inference(forward_subsumption_resolution,[status(thm)],[f31940,f31711])).
% 299.42/38.06 fof(f31948,plain,(
% 299.42/38.06 ![X0]: (member(sk0_0(X0,sk0_3),sk0_4)|subset(sk0_3,X0)|~spl0_1)),
% 299.42/38.06 inference(resolution,[status(thm)],[f31941,f19])).
% 299.42/38.06 fof(f31982,plain,(
% 299.42/38.06 subset(sk0_3,sk0_4)|subset(sk0_3,sk0_4)|~spl0_1),
% 299.42/38.06 inference(resolution,[status(thm)],[f31948,f20])).
% 299.42/38.06 fof(f31983,plain,(
% 299.42/38.06 spl0_0|~spl0_1),
% 299.42/38.06 inference(split_clause,[status(thm)],[f31982,f75,f78])).
% 299.42/38.06 fof(f32437,plain,(
% 299.42/38.06 spl0_211 <=> subset(power_set(sk0_3),power_set(sk0_5))),
% 299.42/38.06 introduced(split_symbol_definition)).
% 299.42/38.06 fof(f32440,plain,(
% 299.42/38.06 subset(power_set(sk0_3),power_set(sk0_5))|subset(power_set(sk0_3),power_set(sk0_5))),
% 299.42/38.06 inference(resolution,[status(thm)],[f9731,f122])).
% 299.42/38.06 fof(f32441,plain,(
% 300.40/38.19 spl0_211),
% 300.40/38.19 inference(split_clause,[status(thm)],[f32440,f32437])).
% 300.40/38.19 fof(f37863,plain,(
% 300.40/38.19 spl0_218 <=> ~member(sk0_3,X0)),
% 300.40/38.19 introduced(split_symbol_definition)).
% 300.40/38.19 fof(f37864,plain,(
% 300.40/38.19 ![X0]: (~member(sk0_3,X0)|~spl0_218)),
% 300.40/38.19 inference(component_clause,[status(thm)],[f37863])).
% 300.40/38.19 fof(f39986,plain,(
% 300.40/38.19 $false|~spl0_218),
% 300.40/38.19 inference(resolution,[status(thm)],[f37864,f18022])).
% 300.40/38.19 fof(f39987,plain,(
% 300.40/38.19 ~spl0_218),
% 300.40/38.19 inference(contradiction_clause,[status(thm)],[f39986])).
% 300.40/38.19 fof(f43121,plain,(
% 300.40/38.19 ![X0,X1]: (subset(intersection(sk0_3,difference(X0,sk0_4)),X1)|~spl0_0)),
% 300.40/38.19 inference(resolution,[status(thm)],[f10345,f9312])).
% 300.40/38.19 fof(f43551,plain,(
% 300.40/38.19 ![X0]: (equal_set(intersection(sk0_3,difference(X0,sk0_4)),empty_set)|~spl0_0)),
% 300.40/38.19 inference(resolution,[status(thm)],[f43121,f111])).
% 300.40/38.19 fof(f43554,plain,(
% 300.40/38.19 $false|~spl0_0|spl0_1),
% 300.40/38.19 inference(backward_subsumption_resolution,[status(thm)],[f80,f43551])).
% 300.40/38.19 fof(f43555,plain,(
% 300.40/38.19 ~spl0_0|spl0_1),
% 300.40/38.19 inference(contradiction_clause,[status(thm)],[f43554])).
% 300.40/38.19 fof(f43556,plain,(
% 300.40/38.19 $false),
% 300.40/38.19 inference(sat_refutation,[status(thm)],[f81,f82,f11089,f11730,f11739,f11745,f11786,f16352,f16358,f17331,f17757,f18539,f18543,f21306,f31983,f32441,f39987,f43555])).
% 300.40/38.19 % SZS output end CNFRefutation for theBenchmark.p
% 300.60/38.22 % SZS status Timeout for theBenchmark.p: Process timeout. CPU time limit exceeded (SIGXCPU)
%------------------------------------------------------------------------------