TSTP Solution File: SET595+4 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET595+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 12:34:45 EDT 2023
% Result : Theorem 10.47s 1.83s
% Output : CNFRefutation 10.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET595+4 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:15:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 10.47/1.83 % Refutation found
% 10.47/1.83 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.47/1.83 % SZS output start CNFRefutation for theBenchmark
% 10.47/1.83 fof(f1,axiom,(
% 10.47/1.83 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 10.47/1.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.47/1.83 fof(f2,axiom,(
% 10.47/1.83 (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 10.47/1.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.47/1.83 fof(f3,axiom,(
% 10.47/1.83 (! [X,A] :( member(X,power_set(A))<=> subset(X,A) ) )),
% 10.47/1.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.47/1.83 fof(f5,axiom,(
% 10.47/1.83 (! [X,A,B] :( member(X,union(A,B))<=> ( member(X,A)| member(X,B) ) ) )),
% 10.47/1.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.47/1.83 fof(f6,axiom,(
% 10.47/1.83 (! [X] : ~ member(X,empty_set) )),
% 10.47/1.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.47/1.83 fof(f7,axiom,(
% 10.47/1.83 (! [B,A,E] :( member(B,difference(E,A))<=> ( member(B,E)& ~ member(B,A) ) ) )),
% 10.47/1.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.47/1.83 fof(f8,axiom,(
% 10.47/1.83 (! [X,A] :( member(X,singleton(A))<=> X = A ) )),
% 10.47/1.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.47/1.83 fof(f9,axiom,(
% 10.47/1.83 (! [X,A,B] :( member(X,unordered_pair(A,B))<=> ( X = A| X = B ) ) )),
% 10.47/1.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.47/1.83 fof(f12,conjecture,(
% 10.47/1.83 (! [A,E] :( subset(A,E)=> equal_set(union(difference(E,A),A),E) ) )),
% 10.47/1.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.47/1.83 fof(f13,negated_conjecture,(
% 10.47/1.83 ~((! [A,E] :( subset(A,E)=> equal_set(union(difference(E,A),A),E) ) ))),
% 10.47/1.83 inference(negated_conjecture,[status(cth)],[f12])).
% 10.47/1.83 fof(f14,plain,(
% 10.47/1.83 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 10.47/1.83 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 10.47/1.83 fof(f15,plain,(
% 10.47/1.83 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 10.47/1.83 inference(NNF_transformation,[status(esa)],[f14])).
% 10.47/1.83 fof(f16,plain,(
% 10.47/1.83 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 10.47/1.83 inference(miniscoping,[status(esa)],[f15])).
% 10.47/1.83 fof(f17,plain,(
% 10.47/1.83 (![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))))),
% 10.47/1.83 inference(skolemization,[status(esa)],[f16])).
% 10.47/1.83 fof(f18,plain,(
% 10.47/1.83 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 10.47/1.83 inference(cnf_transformation,[status(esa)],[f17])).
% 10.47/1.83 fof(f19,plain,(
% 10.47/1.83 ![X0,X1]: (subset(X0,X1)|member(sk0_0(X1,X0),X0))),
% 10.47/1.83 inference(cnf_transformation,[status(esa)],[f17])).
% 10.47/1.83 fof(f20,plain,(
% 10.47/1.83 ![X0,X1]: (subset(X0,X1)|~member(sk0_0(X1,X0),X1))),
% 10.47/1.83 inference(cnf_transformation,[status(esa)],[f17])).
% 10.47/1.83 fof(f21,plain,(
% 10.47/1.83 ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 10.47/1.83 inference(NNF_transformation,[status(esa)],[f2])).
% 10.47/1.83 fof(f22,plain,(
% 10.47/1.83 (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 10.47/1.83 inference(miniscoping,[status(esa)],[f21])).
% 10.47/1.83 fof(f25,plain,(
% 10.47/1.83 ![X0,X1]: (equal_set(X0,X1)|~subset(X0,X1)|~subset(X1,X0))),
% 10.47/1.83 inference(cnf_transformation,[status(esa)],[f22])).
% 10.47/1.83 fof(f26,plain,(
% 10.47/1.83 ![X,A]: ((~member(X,power_set(A))|subset(X,A))&(member(X,power_set(A))|~subset(X,A)))),
% 10.47/1.83 inference(NNF_transformation,[status(esa)],[f3])).
% 10.47/1.83 fof(f27,plain,(
% 10.47/1.83 (![X,A]: (~member(X,power_set(A))|subset(X,A)))&(![X,A]: (member(X,power_set(A))|~subset(X,A)))),
% 10.47/1.83 inference(miniscoping,[status(esa)],[f26])).
% 10.47/1.83 fof(f28,plain,(
% 10.47/1.83 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1))),
% 10.47/1.83 inference(cnf_transformation,[status(esa)],[f27])).
% 10.47/1.83 fof(f29,plain,(
% 10.47/1.83 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1))),
% 10.47/1.83 inference(cnf_transformation,[status(esa)],[f27])).
% 10.47/1.83 fof(f35,plain,(
% 10.47/1.83 ![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))))),
% 10.47/1.83 inference(NNF_transformation,[status(esa)],[f5])).
% 10.47/1.83 fof(f36,plain,(
% 10.47/1.83 (![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))))),
% 10.47/1.83 inference(miniscoping,[status(esa)],[f35])).
% 10.47/1.84 fof(f37,plain,(
% 10.47/1.84 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 10.47/1.84 inference(cnf_transformation,[status(esa)],[f36])).
% 10.47/1.84 fof(f38,plain,(
% 10.47/1.84 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X1))),
% 10.47/1.84 inference(cnf_transformation,[status(esa)],[f36])).
% 10.47/1.84 fof(f39,plain,(
% 10.47/1.84 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 10.47/1.84 inference(cnf_transformation,[status(esa)],[f36])).
% 10.47/1.84 fof(f40,plain,(
% 10.47/1.84 ![X0]: (~member(X0,empty_set))),
% 10.47/1.84 inference(cnf_transformation,[status(esa)],[f6])).
% 10.47/1.84 fof(f41,plain,(
% 10.47/1.84 ![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))))),
% 10.47/1.84 inference(NNF_transformation,[status(esa)],[f7])).
% 10.47/1.84 fof(f42,plain,(
% 10.47/1.84 (![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))))),
% 10.47/1.84 inference(miniscoping,[status(esa)],[f41])).
% 10.47/1.84 fof(f43,plain,(
% 10.47/1.84 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|member(X0,X1))),
% 10.47/1.84 inference(cnf_transformation,[status(esa)],[f42])).
% 10.47/1.84 fof(f44,plain,(
% 10.47/1.84 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 10.47/1.84 inference(cnf_transformation,[status(esa)],[f42])).
% 10.47/1.84 fof(f45,plain,(
% 10.47/1.84 ![X0,X1,X2]: (member(X0,difference(X1,X2))|~member(X0,X1)|member(X0,X2))),
% 10.47/1.84 inference(cnf_transformation,[status(esa)],[f42])).
% 10.47/1.84 fof(f46,plain,(
% 10.47/1.84 ![X,A]: ((~member(X,singleton(A))|X=A)&(member(X,singleton(A))|~X=A))),
% 10.47/1.84 inference(NNF_transformation,[status(esa)],[f8])).
% 10.47/1.84 fof(f47,plain,(
% 10.47/1.84 (![X,A]: (~member(X,singleton(A))|X=A))&(![X,A]: (member(X,singleton(A))|~X=A))),
% 10.47/1.84 inference(miniscoping,[status(esa)],[f46])).
% 10.47/1.84 fof(f48,plain,(
% 10.47/1.84 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 10.47/1.84 inference(cnf_transformation,[status(esa)],[f47])).
% 10.47/1.84 fof(f49,plain,(
% 10.47/1.84 ![X0,X1]: (member(X0,singleton(X1))|~X0=X1)),
% 10.47/1.84 inference(cnf_transformation,[status(esa)],[f47])).
% 10.47/1.84 fof(f50,plain,(
% 10.47/1.84 ![X,A,B]: ((~member(X,unordered_pair(A,B))|(X=A|X=B))&(member(X,unordered_pair(A,B))|(~X=A&~X=B)))),
% 10.47/1.84 inference(NNF_transformation,[status(esa)],[f9])).
% 10.47/1.84 fof(f51,plain,(
% 10.47/1.84 (![X,A,B]: (~member(X,unordered_pair(A,B))|(X=A|X=B)))&(![X,A,B]: (member(X,unordered_pair(A,B))|(~X=A&~X=B)))),
% 10.47/1.84 inference(miniscoping,[status(esa)],[f50])).
% 10.47/1.84 fof(f53,plain,(
% 10.47/1.84 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~X0=X1)),
% 10.47/1.84 inference(cnf_transformation,[status(esa)],[f51])).
% 10.47/1.84 fof(f54,plain,(
% 10.47/1.84 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~X0=X2)),
% 10.47/1.84 inference(cnf_transformation,[status(esa)],[f51])).
% 10.47/1.84 fof(f68,plain,(
% 10.47/1.84 (?[A,E]: (subset(A,E)&~equal_set(union(difference(E,A),A),E)))),
% 10.47/1.84 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 10.47/1.84 fof(f69,plain,(
% 10.47/1.84 (subset(sk0_3,sk0_4)&~equal_set(union(difference(sk0_4,sk0_3),sk0_3),sk0_4))),
% 10.47/1.84 inference(skolemization,[status(esa)],[f68])).
% 10.47/1.84 fof(f70,plain,(
% 10.47/1.84 subset(sk0_3,sk0_4)),
% 10.47/1.84 inference(cnf_transformation,[status(esa)],[f69])).
% 10.47/1.84 fof(f71,plain,(
% 10.47/1.84 ~equal_set(union(difference(sk0_4,sk0_3),sk0_3),sk0_4)),
% 10.47/1.84 inference(cnf_transformation,[status(esa)],[f69])).
% 10.47/1.84 fof(f72,plain,(
% 10.47/1.84 ![X0]: (member(X0,singleton(X0)))),
% 10.47/1.84 inference(destructive_equality_resolution,[status(esa)],[f49])).
% 10.47/1.84 fof(f73,plain,(
% 10.47/1.84 ![X0,X1]: (member(X0,unordered_pair(X0,X1)))),
% 10.47/1.84 inference(destructive_equality_resolution,[status(esa)],[f53])).
% 10.47/1.84 fof(f74,plain,(
% 10.47/1.84 ![X0,X1]: (member(X0,unordered_pair(X1,X0)))),
% 10.47/1.84 inference(destructive_equality_resolution,[status(esa)],[f54])).
% 10.47/1.84 fof(f76,plain,(
% 10.47/1.84 ![X0,X1,X2,X3]: (~subset(X0,X1)|member(X2,X1)|~subset(X3,X0)|~member(X2,X3))),
% 10.47/1.84 inference(resolution,[status(thm)],[f18,f18])).
% 10.47/1.84 fof(f80,plain,(
% 10.47/1.84 ![X0,X1,X2,X3]: (~member(X0,X1)|~subset(X2,difference(X3,X1))|~member(X0,X2))),
% 10.47/1.84 inference(resolution,[status(thm)],[f44,f18])).
% 10.47/1.84 fof(f81,plain,(
% 10.47/1.84 spl0_0 <=> subset(union(difference(sk0_4,sk0_3),sk0_3),sk0_4)),
% 10.47/1.84 introduced(split_symbol_definition)).
% 10.47/1.84 fof(f83,plain,(
% 10.47/1.84 ~subset(union(difference(sk0_4,sk0_3),sk0_3),sk0_4)|spl0_0),
% 10.47/1.84 inference(component_clause,[status(thm)],[f81])).
% 10.47/1.84 fof(f84,plain,(
% 10.47/1.84 spl0_1 <=> subset(sk0_4,union(difference(sk0_4,sk0_3),sk0_3))),
% 10.47/1.84 introduced(split_symbol_definition)).
% 10.47/1.84 fof(f86,plain,(
% 10.47/1.84 ~subset(sk0_4,union(difference(sk0_4,sk0_3),sk0_3))|spl0_1),
% 10.47/1.84 inference(component_clause,[status(thm)],[f84])).
% 10.47/1.84 fof(f87,plain,(
% 10.47/1.84 ~subset(union(difference(sk0_4,sk0_3),sk0_3),sk0_4)|~subset(sk0_4,union(difference(sk0_4,sk0_3),sk0_3))),
% 10.47/1.84 inference(resolution,[status(thm)],[f25,f71])).
% 10.47/1.84 fof(f88,plain,(
% 10.47/1.84 ~spl0_0|~spl0_1),
% 10.47/1.84 inference(split_clause,[status(thm)],[f87,f81,f84])).
% 10.47/1.84 fof(f96,plain,(
% 10.47/1.84 ![X0,X1]: (~subset(sk0_4,X0)|member(X1,X0)|~member(X1,sk0_3))),
% 10.47/1.84 inference(resolution,[status(thm)],[f76,f70])).
% 10.47/1.84 fof(f102,plain,(
% 10.47/1.84 ![X0,X1,X2]: (~subset(X0,empty_set)|~subset(X1,X0)|~member(X2,X1))),
% 10.47/1.84 inference(resolution,[status(thm)],[f40,f76])).
% 10.47/1.84 fof(f103,plain,(
% 10.47/1.84 ![X0,X1]: (~subset(X0,empty_set)|~member(X1,X0))),
% 10.47/1.84 inference(resolution,[status(thm)],[f40,f18])).
% 10.47/1.84 fof(f104,plain,(
% 10.47/1.84 ![X0,X1,X2]: (~subset(X0,X1)|member(X2,X1)|~subset(singleton(X2),X0))),
% 10.47/1.84 inference(resolution,[status(thm)],[f72,f76])).
% 10.47/1.84 fof(f105,plain,(
% 10.47/1.84 ![X0,X1]: (~subset(singleton(X0),X1)|member(X0,X1))),
% 10.47/1.84 inference(resolution,[status(thm)],[f72,f18])).
% 10.47/1.84 fof(f116,plain,(
% 10.47/1.84 ![X0,X1]: (subset(power_set(X0),X1)|subset(sk0_0(X1,power_set(X0)),X0))),
% 10.47/1.84 inference(resolution,[status(thm)],[f19,f28])).
% 10.47/1.84 fof(f117,plain,(
% 10.47/1.84 ![X0,X1]: (subset(singleton(X0),X1)|sk0_0(X1,singleton(X0))=X0)),
% 10.47/1.84 inference(resolution,[status(thm)],[f19,f48])).
% 10.47/1.84 fof(f118,plain,(
% 10.47/1.84 ![X0]: (subset(empty_set,X0))),
% 10.47/1.84 inference(resolution,[status(thm)],[f19,f40])).
% 10.47/1.84 fof(f119,plain,(
% 10.47/1.84 ![X0,X1,X2]: (subset(union(X0,X1),X2)|member(sk0_0(X2,union(X0,X1)),X0)|member(sk0_0(X2,union(X0,X1)),X1))),
% 10.47/1.84 inference(resolution,[status(thm)],[f19,f37])).
% 10.47/1.84 fof(f123,plain,(
% 10.47/1.84 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|member(sk0_0(X1,X0),X2))),
% 10.47/1.84 inference(resolution,[status(thm)],[f19,f18])).
% 10.47/1.84 fof(f128,plain,(
% 10.47/1.84 ![X0]: (subset(X0,X0)|subset(X0,X0))),
% 10.47/1.84 inference(resolution,[status(thm)],[f20,f19])).
% 10.47/1.84 fof(f129,plain,(
% 10.47/1.84 ![X0]: (subset(X0,X0))),
% 10.47/1.84 inference(duplicate_literals_removal,[status(esa)],[f128])).
% 10.47/1.84 fof(f132,plain,(
% 10.47/1.84 ![X0,X1,X2]: (subset(X0,union(X1,X2))|~member(sk0_0(union(X1,X2),X0),X2))),
% 10.47/1.84 inference(resolution,[status(thm)],[f20,f39])).
% 10.47/1.84 fof(f133,plain,(
% 10.47/1.84 ![X0,X1,X2]: (subset(X0,union(X1,X2))|~member(sk0_0(union(X1,X2),X0),X1))),
% 10.47/1.84 inference(resolution,[status(thm)],[f20,f38])).
% 10.47/1.84 fof(f135,plain,(
% 10.47/1.84 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,X1)|~member(sk0_0(X1,X0),X2))),
% 10.47/1.84 inference(resolution,[status(thm)],[f20,f18])).
% 10.47/1.84 fof(f158,plain,(
% 10.47/1.84 ![X0,X1]: (~subset(sk0_4,X0)|member(sk0_0(X1,sk0_3),X0)|subset(sk0_3,X1))),
% 10.47/1.84 inference(resolution,[status(thm)],[f96,f19])).
% 10.47/1.84 fof(f161,plain,(
% 10.47/1.84 ![X0]: (member(sk0_0(X0,sk0_3),sk0_4)|subset(sk0_3,X0))),
% 10.47/1.84 inference(resolution,[status(thm)],[f158,f129])).
% 10.47/1.84 fof(f162,plain,(
% 10.47/1.84 spl0_2 <=> subset(sk0_3,sk0_4)),
% 10.47/1.84 introduced(split_symbol_definition)).
% 10.47/1.84 fof(f165,plain,(
% 10.47/1.84 subset(sk0_3,sk0_4)|subset(sk0_3,sk0_4)),
% 10.47/1.84 inference(resolution,[status(thm)],[f161,f20])).
% 10.47/1.84 fof(f166,plain,(
% 10.47/1.84 spl0_2),
% 10.47/1.84 inference(split_clause,[status(thm)],[f165,f162])).
% 10.47/1.84 fof(f200,plain,(
% 10.47/1.84 spl0_7 <=> subset(sk0_4,sk0_3)),
% 10.47/1.84 introduced(split_symbol_definition)).
% 10.47/1.84 fof(f203,plain,(
% 10.47/1.84 spl0_8 <=> subset(sk0_4,sk0_4)),
% 10.47/1.84 introduced(split_symbol_definition)).
% 10.47/1.84 fof(f205,plain,(
% 10.47/1.84 ~subset(sk0_4,sk0_4)|spl0_8),
% 10.47/1.84 inference(component_clause,[status(thm)],[f203])).
% 10.47/1.84 fof(f470,plain,(
% 10.47/1.84 ![X0,X1]: (subset(X0,X1)|~subset(X0,empty_set))),
% 10.47/1.84 inference(resolution,[status(thm)],[f123,f40])).
% 10.47/1.84 fof(f495,plain,(
% 10.47/1.84 ![X0,X1,X2]: (sk0_0(X0,singleton(X1))=X1|~subset(X0,X2)|member(X1,X2))),
% 10.47/1.84 inference(resolution,[status(thm)],[f117,f104])).
% 10.47/1.84 fof(f496,plain,(
% 10.47/1.84 ![X0,X1]: (sk0_0(X0,singleton(X1))=X1|member(X1,X0))),
% 10.47/1.84 inference(resolution,[status(thm)],[f117,f105])).
% 10.47/1.84 fof(f513,plain,(
% 10.47/1.84 ![X0,X1]: (sk0_0(power_set(X0),singleton(X1))=X1|subset(X1,X0))),
% 10.47/1.84 inference(resolution,[status(thm)],[f496,f28])).
% 10.47/1.84 fof(f551,plain,(
% 10.47/1.84 ![X0,X1]: (sk0_0(power_set(empty_set),singleton(X0))=X0|subset(X0,X1))),
% 10.47/1.84 inference(resolution,[status(thm)],[f513,f470])).
% 10.47/1.84 fof(f553,plain,(
% 10.47/1.84 ![X0,X1]: (sk0_0(power_set(empty_set),singleton(X0))=X0|~member(X1,X0))),
% 10.47/1.84 inference(resolution,[status(thm)],[f513,f103])).
% 10.47/1.84 fof(f592,plain,(
% 10.47/1.84 ![X0,X1]: (subset(sk0_0(empty_set,power_set(X0)),X0)|subset(power_set(X0),X1))),
% 10.47/1.84 inference(resolution,[status(thm)],[f116,f470])).
% 10.47/1.84 fof(f594,plain,(
% 10.47/1.84 ![X0,X1]: (subset(sk0_0(empty_set,power_set(X0)),X0)|~member(X1,power_set(X0)))),
% 10.47/1.84 inference(resolution,[status(thm)],[f116,f103])).
% 10.47/1.84 fof(f630,plain,(
% 10.47/1.84 spl0_24 <=> subset(singleton(sk0_4),power_set(sk0_3))),
% 10.47/1.84 introduced(split_symbol_definition)).
% 10.47/1.84 fof(f631,plain,(
% 10.47/1.84 subset(singleton(sk0_4),power_set(sk0_3))|~spl0_24),
% 10.47/1.84 inference(component_clause,[status(thm)],[f630])).
% 10.47/1.84 fof(f632,plain,(
% 10.47/1.84 ~subset(singleton(sk0_4),power_set(sk0_3))|spl0_24),
% 10.47/1.84 inference(component_clause,[status(thm)],[f630])).
% 10.47/1.84 fof(f633,plain,(
% 10.47/1.84 spl0_25 <=> ~subset(singleton(sk0_4),X0)|member(sk0_4,X0)),
% 10.47/1.84 introduced(split_symbol_definition)).
% 10.47/1.84 fof(f638,plain,(
% 10.47/1.84 spl0_26 <=> member(sk0_4,power_set(sk0_3))),
% 10.47/1.84 introduced(split_symbol_definition)).
% 10.47/1.84 fof(f640,plain,(
% 10.47/1.84 ~member(sk0_4,power_set(sk0_3))|spl0_26),
% 10.47/1.84 inference(component_clause,[status(thm)],[f638])).
% 10.47/1.84 fof(f643,plain,(
% 10.47/1.84 spl0_27 <=> member(sk0_4,singleton(sk0_4))),
% 10.47/1.84 introduced(split_symbol_definition)).
% 10.47/1.84 fof(f651,plain,(
% 10.47/1.84 ![X0]: (~subset(X0,power_set(sk0_3))|~member(sk0_4,X0)|spl0_26)),
% 10.47/1.84 inference(resolution,[status(thm)],[f640,f18])).
% 10.47/1.84 fof(f653,plain,(
% 10.47/1.84 member(sk0_4,power_set(sk0_3))|~spl0_24),
% 10.47/1.84 inference(resolution,[status(thm)],[f631,f105])).
% 10.47/1.84 fof(f666,plain,(
% 10.47/1.84 subset(sk0_4,sk0_3)|~spl0_24),
% 10.47/1.84 inference(resolution,[status(thm)],[f653,f28])).
% 10.47/1.84 fof(f667,plain,(
% 10.47/1.84 spl0_7|~spl0_24),
% 10.47/1.84 inference(split_clause,[status(thm)],[f666,f200,f630])).
% 10.47/1.84 fof(f680,plain,(
% 10.47/1.84 sk0_0(power_set(sk0_3),singleton(sk0_4))=sk0_4|spl0_24),
% 10.47/1.84 inference(resolution,[status(thm)],[f632,f117])).
% 10.47/1.84 fof(f684,plain,(
% 10.47/1.84 subset(singleton(sk0_4),power_set(sk0_3))|~member(sk0_4,power_set(sk0_3))|spl0_24),
% 10.47/1.84 inference(paramodulation,[status(thm)],[f680,f20])).
% 10.47/1.84 fof(f685,plain,(
% 10.47/1.84 spl0_24|~spl0_26),
% 10.47/1.84 inference(split_clause,[status(thm)],[f684,f630,f638])).
% 10.47/1.84 fof(f1045,plain,(
% 10.47/1.84 spl0_44 <=> sk0_0(power_set(empty_set),singleton(sk0_4))=sk0_4),
% 10.47/1.84 introduced(split_symbol_definition)).
% 10.47/1.84 fof(f1046,plain,(
% 10.47/1.84 sk0_0(power_set(empty_set),singleton(sk0_4))=sk0_4|~spl0_44),
% 10.47/1.84 inference(component_clause,[status(thm)],[f1045])).
% 10.96/1.84 fof(f1141,plain,(
% 10.96/1.84 spl0_54 <=> subset(sk0_3,X0)),
% 10.96/1.84 introduced(split_symbol_definition)).
% 10.96/1.84 fof(f1142,plain,(
% 10.96/1.84 ![X0]: (subset(sk0_3,X0)|~spl0_54)),
% 10.96/1.84 inference(component_clause,[status(thm)],[f1141])).
% 10.96/1.84 fof(f1144,plain,(
% 10.96/1.84 ![X0]: (sk0_0(power_set(empty_set),singleton(sk0_4))=sk0_4|subset(sk0_3,X0))),
% 10.96/1.84 inference(resolution,[status(thm)],[f553,f161])).
% 10.96/1.84 fof(f1145,plain,(
% 10.96/1.84 spl0_44|spl0_54),
% 10.96/1.84 inference(split_clause,[status(thm)],[f1144,f1045,f1141])).
% 10.96/1.84 fof(f1233,plain,(
% 10.96/1.84 ![X0]: (subset(sk0_3,X0)|~subset(sk0_4,X0)|subset(sk0_3,X0))),
% 10.96/1.84 inference(resolution,[status(thm)],[f135,f161])).
% 10.96/1.84 fof(f1234,plain,(
% 10.96/1.84 ![X0]: (subset(sk0_3,X0)|~subset(sk0_4,X0))),
% 10.96/1.84 inference(duplicate_literals_removal,[status(esa)],[f1233])).
% 10.96/1.84 fof(f1235,plain,(
% 10.96/1.84 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,X1)|subset(X0,X1)|~subset(X0,X2))),
% 10.96/1.84 inference(resolution,[status(thm)],[f135,f123])).
% 10.96/1.84 fof(f1236,plain,(
% 10.96/1.84 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,X1)|~subset(X0,X2))),
% 10.96/1.84 inference(duplicate_literals_removal,[status(esa)],[f1235])).
% 10.96/1.84 fof(f1249,plain,(
% 10.96/1.84 ![X0,X1,X2]: (subset(X0,X1)|~subset(unordered_pair(X2,sk0_0(X1,X0)),X1))),
% 10.96/1.84 inference(resolution,[status(thm)],[f135,f74])).
% 10.96/1.84 fof(f1250,plain,(
% 10.96/1.84 ![X0,X1,X2]: (subset(X0,X1)|~subset(unordered_pair(sk0_0(X1,X0),X2),X1))),
% 10.96/1.84 inference(resolution,[status(thm)],[f135,f73])).
% 10.96/1.84 fof(f1286,plain,(
% 10.96/1.84 ![X0]: (subset(sk0_3,X0)|sk0_0(power_set(X0),singleton(sk0_4))=sk0_4)),
% 10.96/1.84 inference(resolution,[status(thm)],[f1234,f513])).
% 10.96/1.84 fof(f1424,plain,(
% 10.96/1.84 ~member(sk0_0(union(difference(sk0_4,sk0_3),sk0_3),sk0_4),sk0_3)|spl0_1),
% 10.96/1.84 inference(resolution,[status(thm)],[f132,f86])).
% 10.96/1.84 fof(f1455,plain,(
% 10.96/1.84 ~member(sk0_0(union(difference(sk0_4,sk0_3),sk0_3),sk0_4),difference(sk0_4,sk0_3))|spl0_1),
% 10.96/1.84 inference(resolution,[status(thm)],[f133,f86])).
% 10.96/1.84 fof(f1504,plain,(
% 10.96/1.84 ![X0,X1]: (~subset(X0,sk0_3)|~member(X1,X0)|~spl0_54)),
% 10.96/1.84 inference(resolution,[status(thm)],[f1142,f102])).
% 10.96/1.84 fof(f1565,plain,(
% 10.96/1.84 ![X0]: (~member(X0,sk0_3)|~spl0_54)),
% 10.96/1.84 inference(resolution,[status(thm)],[f1142,f103])).
% 10.96/1.84 fof(f1579,plain,(
% 10.96/1.84 spl0_64 <=> subset(sk0_4,difference(sk0_4,sk0_3))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f1580,plain,(
% 10.96/1.85 subset(sk0_4,difference(sk0_4,sk0_3))|~spl0_64),
% 10.96/1.85 inference(component_clause,[status(thm)],[f1579])).
% 10.96/1.85 fof(f1581,plain,(
% 10.96/1.85 ~subset(sk0_4,difference(sk0_4,sk0_3))|spl0_64),
% 10.96/1.85 inference(component_clause,[status(thm)],[f1579])).
% 10.96/1.85 fof(f1584,plain,(
% 10.96/1.85 spl0_65 <=> member(sk0_0(union(difference(sk0_4,sk0_3),sk0_3),sk0_4),sk0_4)),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f1586,plain,(
% 10.96/1.85 ~member(sk0_0(union(difference(sk0_4,sk0_3),sk0_3),sk0_4),sk0_4)|spl0_65),
% 10.96/1.85 inference(component_clause,[status(thm)],[f1584])).
% 10.96/1.85 fof(f1587,plain,(
% 10.96/1.85 spl0_66 <=> member(sk0_0(union(difference(sk0_4,sk0_3),sk0_3),sk0_4),sk0_3)),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f1588,plain,(
% 10.96/1.85 member(sk0_0(union(difference(sk0_4,sk0_3),sk0_3),sk0_4),sk0_3)|~spl0_66),
% 10.96/1.85 inference(component_clause,[status(thm)],[f1587])).
% 10.96/1.85 fof(f1590,plain,(
% 10.96/1.85 ~member(sk0_0(union(difference(sk0_4,sk0_3),sk0_3),sk0_4),sk0_4)|member(sk0_0(union(difference(sk0_4,sk0_3),sk0_3),sk0_4),sk0_3)|spl0_1),
% 10.96/1.85 inference(resolution,[status(thm)],[f1455,f45])).
% 10.96/1.85 fof(f1591,plain,(
% 10.96/1.85 ~spl0_65|spl0_66|spl0_1),
% 10.96/1.85 inference(split_clause,[status(thm)],[f1590,f1584,f1587,f84])).
% 10.96/1.85 fof(f1598,plain,(
% 10.96/1.85 $false|~spl0_54|~spl0_66),
% 10.96/1.85 inference(forward_subsumption_resolution,[status(thm)],[f1588,f1565])).
% 10.96/1.85 fof(f1599,plain,(
% 10.96/1.85 ~spl0_54|~spl0_66),
% 10.96/1.85 inference(contradiction_clause,[status(thm)],[f1598])).
% 10.96/1.85 fof(f1600,plain,(
% 10.96/1.85 ![X0]: (subset(X0,sk0_4)|~subset(X0,sk0_3))),
% 10.96/1.85 inference(resolution,[status(thm)],[f1236,f70])).
% 10.96/1.85 fof(f1602,plain,(
% 10.96/1.85 spl0_67 <=> member(sk0_0(sk0_4,union(difference(sk0_4,sk0_3),sk0_3)),difference(sk0_4,sk0_3))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f1603,plain,(
% 10.96/1.85 member(sk0_0(sk0_4,union(difference(sk0_4,sk0_3),sk0_3)),difference(sk0_4,sk0_3))|~spl0_67),
% 10.96/1.85 inference(component_clause,[status(thm)],[f1602])).
% 10.96/1.85 fof(f1605,plain,(
% 10.96/1.85 spl0_68 <=> member(sk0_0(sk0_4,union(difference(sk0_4,sk0_3),sk0_3)),sk0_3)),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f1606,plain,(
% 10.96/1.85 member(sk0_0(sk0_4,union(difference(sk0_4,sk0_3),sk0_3)),sk0_3)|~spl0_68),
% 10.96/1.85 inference(component_clause,[status(thm)],[f1605])).
% 10.96/1.85 fof(f1608,plain,(
% 10.96/1.85 member(sk0_0(sk0_4,union(difference(sk0_4,sk0_3),sk0_3)),difference(sk0_4,sk0_3))|member(sk0_0(sk0_4,union(difference(sk0_4,sk0_3),sk0_3)),sk0_3)|spl0_0),
% 10.96/1.85 inference(resolution,[status(thm)],[f83,f119])).
% 10.96/1.85 fof(f1609,plain,(
% 10.96/1.85 spl0_67|spl0_68|spl0_0),
% 10.96/1.85 inference(split_clause,[status(thm)],[f1608,f1602,f1605,f81])).
% 10.96/1.85 fof(f1780,plain,(
% 10.96/1.85 ![X0,X1]: (~subset(X0,sk0_3)|subset(X0,X1)|~subset(sk0_4,X1))),
% 10.96/1.85 inference(resolution,[status(thm)],[f1600,f1236])).
% 10.96/1.85 fof(f1846,plain,(
% 10.96/1.85 spl0_78 <=> ~subset(X0,sk0_3)|subset(X0,X1)),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f1847,plain,(
% 10.96/1.85 ![X0,X1]: (~subset(X0,sk0_3)|subset(X0,X1)|~spl0_78)),
% 10.96/1.85 inference(component_clause,[status(thm)],[f1846])).
% 10.96/1.85 fof(f1849,plain,(
% 10.96/1.85 ![X0,X1]: (~subset(X0,sk0_3)|subset(X0,X1)|sk0_0(power_set(empty_set),singleton(sk0_4))=sk0_4)),
% 10.96/1.85 inference(resolution,[status(thm)],[f1780,f551])).
% 10.96/1.85 fof(f1850,plain,(
% 10.96/1.85 spl0_78|spl0_44),
% 10.96/1.85 inference(split_clause,[status(thm)],[f1849,f1846,f1045])).
% 10.96/1.85 fof(f1927,plain,(
% 10.96/1.85 ![X0,X1]: (sk0_0(X0,singleton(X1))=X1|~subset(X0,empty_set))),
% 10.96/1.85 inference(resolution,[status(thm)],[f495,f40])).
% 10.96/1.85 fof(f2122,plain,(
% 10.96/1.85 spl0_79 <=> sk0_4=X0),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f2123,plain,(
% 10.96/1.85 ![X0]: (sk0_4=X0|~spl0_79)),
% 10.96/1.85 inference(component_clause,[status(thm)],[f2122])).
% 10.96/1.85 fof(f2166,plain,(
% 10.96/1.85 spl0_80 <=> ~subset(X0,sk0_3)),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f2167,plain,(
% 10.96/1.85 ![X0]: (~subset(X0,sk0_3)|~spl0_80)),
% 10.96/1.85 inference(component_clause,[status(thm)],[f2166])).
% 10.96/1.85 fof(f2172,plain,(
% 10.96/1.85 spl0_81 <=> subset(singleton(sk0_4),power_set(empty_set))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f2173,plain,(
% 10.96/1.85 subset(singleton(sk0_4),power_set(empty_set))|~spl0_81),
% 10.96/1.85 inference(component_clause,[status(thm)],[f2172])).
% 10.96/1.85 fof(f2175,plain,(
% 10.96/1.85 spl0_82 <=> ~subset(unordered_pair(sk0_4,X0),power_set(empty_set))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f2178,plain,(
% 10.96/1.85 ![X0]: (subset(singleton(sk0_4),power_set(empty_set))|~subset(unordered_pair(sk0_4,X0),power_set(empty_set))|~spl0_44)),
% 10.96/1.85 inference(paramodulation,[status(thm)],[f1046,f1250])).
% 10.96/1.85 fof(f2179,plain,(
% 10.96/1.85 spl0_81|spl0_82|~spl0_44),
% 10.96/1.85 inference(split_clause,[status(thm)],[f2178,f2172,f2175,f1045])).
% 10.96/1.85 fof(f2180,plain,(
% 10.96/1.85 spl0_83 <=> ~subset(unordered_pair(X0,sk0_4),power_set(empty_set))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f2183,plain,(
% 10.96/1.85 ![X0]: (subset(singleton(sk0_4),power_set(empty_set))|~subset(unordered_pair(X0,sk0_4),power_set(empty_set))|~spl0_44)),
% 10.96/1.85 inference(paramodulation,[status(thm)],[f1046,f1249])).
% 10.96/1.85 fof(f2184,plain,(
% 10.96/1.85 spl0_81|spl0_83|~spl0_44),
% 10.96/1.85 inference(split_clause,[status(thm)],[f2183,f2172,f2180,f1045])).
% 10.96/1.85 fof(f2187,plain,(
% 10.96/1.85 spl0_84 <=> ~subset(X0,power_set(empty_set))|~member(sk0_4,X0)),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f2188,plain,(
% 10.96/1.85 ![X0]: (~subset(X0,power_set(empty_set))|~member(sk0_4,X0)|~spl0_84)),
% 10.96/1.85 inference(component_clause,[status(thm)],[f2187])).
% 10.96/1.85 fof(f2190,plain,(
% 10.96/1.85 ![X0]: (subset(singleton(sk0_4),power_set(empty_set))|~subset(X0,power_set(empty_set))|~member(sk0_4,X0)|~spl0_44)),
% 10.96/1.85 inference(paramodulation,[status(thm)],[f1046,f135])).
% 10.96/1.85 fof(f2191,plain,(
% 10.96/1.85 spl0_81|spl0_84|~spl0_44),
% 10.96/1.85 inference(split_clause,[status(thm)],[f2190,f2172,f2187,f1045])).
% 10.96/1.85 fof(f2192,plain,(
% 10.96/1.85 ![X0]: (subset(singleton(sk0_4),power_set(empty_set))|~subset(singleton(sk0_4),X0)|member(sk0_4,X0)|~spl0_44)),
% 10.96/1.85 inference(paramodulation,[status(thm)],[f1046,f123])).
% 10.96/1.85 fof(f2193,plain,(
% 10.96/1.85 spl0_81|spl0_25|~spl0_44),
% 10.96/1.85 inference(split_clause,[status(thm)],[f2192,f2172,f633,f1045])).
% 10.96/1.85 fof(f2194,plain,(
% 10.96/1.85 spl0_85 <=> member(sk0_4,power_set(empty_set))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f2197,plain,(
% 10.96/1.85 subset(singleton(sk0_4),power_set(empty_set))|~member(sk0_4,power_set(empty_set))|~spl0_44),
% 10.96/1.85 inference(paramodulation,[status(thm)],[f1046,f20])).
% 10.96/1.85 fof(f2198,plain,(
% 10.96/1.85 spl0_81|~spl0_85|~spl0_44),
% 10.96/1.85 inference(split_clause,[status(thm)],[f2197,f2172,f2194,f1045])).
% 10.96/1.85 fof(f2199,plain,(
% 10.96/1.85 subset(singleton(sk0_4),power_set(empty_set))|member(sk0_4,singleton(sk0_4))|~spl0_44),
% 10.96/1.85 inference(paramodulation,[status(thm)],[f1046,f19])).
% 10.96/1.85 fof(f2200,plain,(
% 10.96/1.85 spl0_81|spl0_27|~spl0_44),
% 10.96/1.85 inference(split_clause,[status(thm)],[f2199,f2172,f643,f1045])).
% 10.96/1.85 fof(f2217,plain,(
% 10.96/1.85 member(sk0_0(sk0_4,union(difference(sk0_4,sk0_3),sk0_3)),sk0_4)|~spl0_67),
% 10.96/1.85 inference(resolution,[status(thm)],[f1603,f43])).
% 10.96/1.85 fof(f2234,plain,(
% 10.96/1.85 member(sk0_4,power_set(empty_set))|~spl0_81),
% 10.96/1.85 inference(resolution,[status(thm)],[f2173,f105])).
% 10.96/1.85 fof(f2239,plain,(
% 10.96/1.85 $false|spl0_8),
% 10.96/1.85 inference(forward_subsumption_resolution,[status(thm)],[f205,f129])).
% 10.96/1.85 fof(f2240,plain,(
% 10.96/1.85 spl0_8),
% 10.96/1.85 inference(contradiction_clause,[status(thm)],[f2239])).
% 10.96/1.85 fof(f2254,plain,(
% 10.96/1.85 subset(sk0_4,empty_set)|~spl0_81),
% 10.96/1.85 inference(resolution,[status(thm)],[f2234,f28])).
% 10.96/1.85 fof(f2277,plain,(
% 10.96/1.85 ![X0,X1]: (subset(X0,X1)|~subset(X0,sk0_3)|~spl0_79)),
% 10.96/1.85 inference(paramodulation,[status(thm)],[f2123,f1600])).
% 10.96/1.85 fof(f2347,plain,(
% 10.96/1.85 ![X0]: (~subset(sk0_4,X0)|member(sk0_0(sk0_4,union(difference(sk0_4,sk0_3),sk0_3)),X0)|~spl0_68)),
% 10.96/1.85 inference(resolution,[status(thm)],[f96,f1606])).
% 10.96/1.85 fof(f2547,plain,(
% 10.96/1.85 subset(sk0_4,union(difference(sk0_4,sk0_3),sk0_3))|spl0_65),
% 10.96/1.85 inference(resolution,[status(thm)],[f1586,f19])).
% 10.96/1.85 fof(f2548,plain,(
% 10.96/1.85 spl0_1|spl0_65),
% 10.96/1.85 inference(split_clause,[status(thm)],[f2547,f84,f1584])).
% 10.96/1.85 fof(f2808,plain,(
% 10.96/1.85 $false|~spl0_80),
% 10.96/1.85 inference(resolution,[status(thm)],[f2167,f118])).
% 10.96/1.85 fof(f2809,plain,(
% 10.96/1.85 ~spl0_80),
% 10.96/1.85 inference(contradiction_clause,[status(thm)],[f2808])).
% 10.96/1.85 fof(f2828,plain,(
% 10.96/1.85 ![X0]: (subset(sk0_3,X0)|~spl0_78)),
% 10.96/1.85 inference(resolution,[status(thm)],[f1847,f129])).
% 10.96/1.85 fof(f2829,plain,(
% 10.96/1.85 spl0_54|~spl0_78),
% 10.96/1.85 inference(split_clause,[status(thm)],[f2828,f1141,f1846])).
% 10.96/1.85 fof(f2851,plain,(
% 10.96/1.85 spl0_90 <=> ~subset(unordered_pair(X0,sk0_4),power_set(sk0_3))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f2854,plain,(
% 10.96/1.85 ![X0]: (subset(singleton(sk0_4),power_set(sk0_3))|~subset(unordered_pair(X0,sk0_4),power_set(sk0_3))|spl0_24)),
% 10.96/1.85 inference(paramodulation,[status(thm)],[f680,f1249])).
% 10.96/1.85 fof(f2855,plain,(
% 10.96/1.85 spl0_24|spl0_90),
% 10.96/1.85 inference(split_clause,[status(thm)],[f2854,f630,f2851])).
% 10.96/1.85 fof(f2856,plain,(
% 10.96/1.85 spl0_91 <=> ~subset(unordered_pair(sk0_4,X0),power_set(sk0_3))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f2859,plain,(
% 10.96/1.85 ![X0]: (subset(singleton(sk0_4),power_set(sk0_3))|~subset(unordered_pair(sk0_4,X0),power_set(sk0_3))|spl0_24)),
% 10.96/1.85 inference(paramodulation,[status(thm)],[f680,f1250])).
% 10.96/1.85 fof(f2860,plain,(
% 10.96/1.85 spl0_24|spl0_91),
% 10.96/1.85 inference(split_clause,[status(thm)],[f2859,f630,f2856])).
% 10.96/1.85 fof(f2870,plain,(
% 10.96/1.85 ~subset(sk0_4,sk0_4)|subset(union(difference(sk0_4,sk0_3),sk0_3),sk0_4)|~spl0_68),
% 10.96/1.85 inference(resolution,[status(thm)],[f2347,f20])).
% 10.96/1.85 fof(f2871,plain,(
% 10.96/1.85 ~spl0_8|spl0_0|~spl0_68),
% 10.96/1.85 inference(split_clause,[status(thm)],[f2870,f203,f81,f1605])).
% 10.96/1.85 fof(f2992,plain,(
% 10.96/1.85 spl0_93 <=> subset(sk0_4,X0)),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f2993,plain,(
% 10.96/1.85 ![X0]: (subset(sk0_4,X0)|~spl0_93)),
% 10.96/1.85 inference(component_clause,[status(thm)],[f2992])).
% 10.96/1.85 fof(f3149,plain,(
% 10.96/1.85 $false|~spl0_93|spl0_64),
% 10.96/1.85 inference(backward_subsumption_resolution,[status(thm)],[f1581,f2993])).
% 10.96/1.85 fof(f3150,plain,(
% 10.96/1.85 ~spl0_93|spl0_64),
% 10.96/1.85 inference(contradiction_clause,[status(thm)],[f3149])).
% 10.96/1.85 fof(f3369,plain,(
% 10.96/1.85 spl0_102 <=> ~subset(X0,power_set(sk0_3))|~member(sk0_4,X0)),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f3372,plain,(
% 10.96/1.85 ![X0]: (subset(singleton(sk0_4),power_set(sk0_3))|~subset(X0,power_set(sk0_3))|~member(sk0_4,X0)|spl0_24)),
% 10.96/1.85 inference(paramodulation,[status(thm)],[f680,f135])).
% 10.96/1.85 fof(f3373,plain,(
% 10.96/1.85 spl0_24|spl0_102),
% 10.96/1.85 inference(split_clause,[status(thm)],[f3372,f630,f3369])).
% 10.96/1.85 fof(f3399,plain,(
% 10.96/1.85 subset(sk0_4,union(difference(sk0_4,sk0_3),sk0_3))|~subset(sk0_4,sk0_3)|spl0_1),
% 10.96/1.85 inference(resolution,[status(thm)],[f123,f1424])).
% 10.96/1.85 fof(f3400,plain,(
% 10.96/1.85 spl0_1|~spl0_7),
% 10.96/1.85 inference(split_clause,[status(thm)],[f3399,f84,f200])).
% 10.96/1.85 fof(f3450,plain,(
% 10.96/1.85 spl0_78|~spl0_79),
% 10.96/1.85 inference(split_clause,[status(thm)],[f2277,f1846,f2122])).
% 10.96/1.85 fof(f3727,plain,(
% 10.96/1.85 spl0_106 <=> ~subset(X0,difference(sk0_4,sk0_3))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f3728,plain,(
% 10.96/1.85 ![X0]: (~subset(X0,difference(sk0_4,sk0_3))|~spl0_106)),
% 10.96/1.85 inference(component_clause,[status(thm)],[f3727])).
% 10.96/1.85 fof(f3777,plain,(
% 10.96/1.85 $false|~spl0_106),
% 10.96/1.85 inference(resolution,[status(thm)],[f3728,f118])).
% 10.96/1.85 fof(f3778,plain,(
% 10.96/1.85 ~spl0_106),
% 10.96/1.85 inference(contradiction_clause,[status(thm)],[f3777])).
% 10.96/1.85 fof(f3786,plain,(
% 10.96/1.85 $false|spl0_1|~spl0_66),
% 10.96/1.85 inference(forward_subsumption_resolution,[status(thm)],[f1588,f1424])).
% 10.96/1.85 fof(f3787,plain,(
% 10.96/1.85 spl0_1|~spl0_66),
% 10.96/1.85 inference(contradiction_clause,[status(thm)],[f3786])).
% 10.96/1.85 fof(f3794,plain,(
% 10.96/1.85 subset(sk0_3,difference(sk0_4,sk0_3))|~spl0_64),
% 10.96/1.85 inference(resolution,[status(thm)],[f1580,f1234])).
% 10.96/1.85 fof(f3799,plain,(
% 10.96/1.85 ![X0]: (~member(X0,sk0_3)|~member(X0,sk0_3)|~spl0_64)),
% 10.96/1.85 inference(resolution,[status(thm)],[f3794,f80])).
% 10.96/1.85 fof(f3800,plain,(
% 10.96/1.85 ![X0]: (~member(X0,sk0_3)|~spl0_64)),
% 10.96/1.85 inference(duplicate_literals_removal,[status(esa)],[f3799])).
% 10.96/1.85 fof(f3803,plain,(
% 10.96/1.85 ![X0,X1]: (subset(X0,X1)|~subset(X0,sk0_3)|~spl0_64)),
% 10.96/1.85 inference(resolution,[status(thm)],[f3800,f123])).
% 10.96/1.85 fof(f3804,plain,(
% 10.96/1.85 spl0_78|~spl0_64),
% 10.96/1.85 inference(split_clause,[status(thm)],[f3803,f1846,f1579])).
% 10.96/1.85 fof(f3890,plain,(
% 10.96/1.85 spl0_110 <=> member(sk0_4,sk0_3)),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f3895,plain,(
% 10.96/1.85 spl0_111 <=> sk0_0(power_set(power_set(empty_set)),singleton(sk0_4))=sk0_4),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f3898,plain,(
% 10.96/1.85 sk0_0(power_set(power_set(empty_set)),singleton(sk0_4))=sk0_4|~member(sk0_4,sk0_3)|~spl0_84),
% 10.96/1.85 inference(resolution,[status(thm)],[f1286,f2188])).
% 10.96/1.85 fof(f3899,plain,(
% 10.96/1.85 spl0_111|~spl0_110|~spl0_84),
% 10.96/1.85 inference(split_clause,[status(thm)],[f3898,f3895,f3890,f2187])).
% 10.96/1.85 fof(f4233,plain,(
% 10.96/1.85 spl0_116 <=> subset(power_set(power_set(sk0_3)),X0)),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f4236,plain,(
% 10.96/1.85 spl0_117 <=> member(sk0_4,sk0_0(empty_set,power_set(power_set(sk0_3))))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f4239,plain,(
% 10.96/1.85 ![X0]: (subset(power_set(power_set(sk0_3)),X0)|~member(sk0_4,sk0_0(empty_set,power_set(power_set(sk0_3))))|spl0_26)),
% 10.96/1.85 inference(resolution,[status(thm)],[f592,f651])).
% 10.96/1.85 fof(f4240,plain,(
% 10.96/1.85 spl0_116|~spl0_117|spl0_26),
% 10.96/1.85 inference(split_clause,[status(thm)],[f4239,f4233,f4236,f638])).
% 10.96/1.85 fof(f4241,plain,(
% 10.96/1.85 spl0_118 <=> subset(power_set(power_set(empty_set)),X0)),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f4244,plain,(
% 10.96/1.85 spl0_119 <=> member(sk0_4,sk0_0(empty_set,power_set(power_set(empty_set))))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f4247,plain,(
% 10.96/1.85 ![X0]: (subset(power_set(power_set(empty_set)),X0)|~member(sk0_4,sk0_0(empty_set,power_set(power_set(empty_set))))|~spl0_84)),
% 10.96/1.85 inference(resolution,[status(thm)],[f592,f2188])).
% 10.96/1.85 fof(f4248,plain,(
% 10.96/1.85 spl0_118|~spl0_119|~spl0_84),
% 10.96/1.85 inference(split_clause,[status(thm)],[f4247,f4241,f4244,f2187])).
% 10.96/1.85 fof(f4259,plain,(
% 10.96/1.85 spl0_121 <=> ~subset(X1,sk0_0(empty_set,power_set(empty_set)))|~member(X2,X1)),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f4264,plain,(
% 10.96/1.85 spl0_122 <=> sk0_0(sk0_0(empty_set,power_set(empty_set)),singleton(X1))=X1),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f4269,plain,(
% 10.96/1.85 spl0_123 <=> ~member(X1,sk0_0(empty_set,power_set(empty_set)))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f4274,plain,(
% 10.96/1.85 spl0_124 <=> subset(sk0_0(empty_set,power_set(empty_set)),X1)),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f4287,plain,(
% 10.96/1.85 spl0_125 <=> ~member(X0,power_set(power_set(sk0_3)))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f4290,plain,(
% 10.96/1.85 ![X0]: (~member(X0,power_set(power_set(sk0_3)))|~member(sk0_4,sk0_0(empty_set,power_set(power_set(sk0_3))))|spl0_26)),
% 10.96/1.85 inference(resolution,[status(thm)],[f594,f651])).
% 10.96/1.85 fof(f4291,plain,(
% 10.96/1.85 spl0_125|~spl0_117|spl0_26),
% 10.96/1.85 inference(split_clause,[status(thm)],[f4290,f4287,f4236,f638])).
% 10.96/1.85 fof(f4292,plain,(
% 10.96/1.85 spl0_126 <=> ~member(X0,power_set(power_set(empty_set)))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f4295,plain,(
% 10.96/1.85 ![X0]: (~member(X0,power_set(power_set(empty_set)))|~member(sk0_4,sk0_0(empty_set,power_set(power_set(empty_set))))|~spl0_84)),
% 10.96/1.85 inference(resolution,[status(thm)],[f594,f2188])).
% 10.96/1.85 fof(f4296,plain,(
% 10.96/1.85 spl0_126|~spl0_119|~spl0_84),
% 10.96/1.85 inference(split_clause,[status(thm)],[f4295,f4292,f4244,f2187])).
% 10.96/1.85 fof(f4304,plain,(
% 10.96/1.85 spl0_127 <=> ~member(X0,power_set(empty_set))),
% 10.96/1.85 introduced(split_symbol_definition)).
% 10.96/1.85 fof(f4305,plain,(
% 10.96/1.85 ![X0]: (~member(X0,power_set(empty_set))|~spl0_127)),
% 10.96/1.85 inference(component_clause,[status(thm)],[f4304])).
% 10.96/1.85 fof(f4307,plain,(
% 10.96/1.85 ![X0,X1,X2]: (~member(X0,power_set(empty_set))|~subset(X1,sk0_0(empty_set,power_set(empty_set)))|~member(X2,X1))),
% 10.96/1.85 inference(resolution,[status(thm)],[f594,f102])).
% 10.96/1.85 fof(f4308,plain,(
% 10.96/1.85 spl0_127|spl0_121),
% 10.96/1.85 inference(split_clause,[status(thm)],[f4307,f4304,f4259])).
% 10.96/1.85 fof(f4309,plain,(
% 10.96/1.85 ![X0,X1]: (~member(X0,power_set(empty_set))|sk0_0(sk0_0(empty_set,power_set(empty_set)),singleton(X1))=X1)),
% 10.96/1.85 inference(resolution,[status(thm)],[f594,f1927])).
% 10.96/1.85 fof(f4310,plain,(
% 10.96/1.85 spl0_127|spl0_122),
% 10.96/1.85 inference(split_clause,[status(thm)],[f4309,f4304,f4264])).
% 10.96/1.85 fof(f4311,plain,(
% 10.96/1.85 ![X0,X1]: (~member(X0,power_set(empty_set))|~member(X1,sk0_0(empty_set,power_set(empty_set))))),
% 10.96/1.85 inference(resolution,[status(thm)],[f594,f103])).
% 10.96/1.86 fof(f4312,plain,(
% 10.96/1.86 spl0_127|spl0_123),
% 10.96/1.86 inference(split_clause,[status(thm)],[f4311,f4304,f4269])).
% 10.96/1.86 fof(f4313,plain,(
% 10.96/1.86 ![X0,X1]: (~member(X0,power_set(empty_set))|subset(sk0_0(empty_set,power_set(empty_set)),X1))),
% 10.96/1.86 inference(resolution,[status(thm)],[f594,f470])).
% 10.96/1.86 fof(f4314,plain,(
% 10.96/1.86 spl0_127|spl0_124),
% 10.96/1.86 inference(split_clause,[status(thm)],[f4313,f4304,f4274])).
% 10.96/1.86 fof(f4696,plain,(
% 10.96/1.86 ![X0]: (~subset(X0,empty_set)|~spl0_127)),
% 10.96/1.86 inference(resolution,[status(thm)],[f4305,f29])).
% 10.96/1.86 fof(f4735,plain,(
% 10.96/1.86 spl0_134 <=> subset(sk0_0(empty_set,power_set(sk0_3)),X0)),
% 10.96/1.86 introduced(split_symbol_definition)).
% 10.96/1.86 fof(f4738,plain,(
% 10.96/1.86 spl0_135 <=> ~member(X1,power_set(sk0_3))),
% 10.96/1.86 introduced(split_symbol_definition)).
% 10.96/1.86 fof(f4739,plain,(
% 10.96/1.86 ![X0]: (~member(X0,power_set(sk0_3))|~spl0_135)),
% 10.96/1.86 inference(component_clause,[status(thm)],[f4738])).
% 10.96/1.86 fof(f4741,plain,(
% 10.96/1.86 ![X0,X1]: (subset(sk0_0(empty_set,power_set(sk0_3)),X0)|~member(X1,power_set(sk0_3))|~spl0_78)),
% 10.96/1.86 inference(resolution,[status(thm)],[f1847,f594])).
% 10.96/1.86 fof(f4742,plain,(
% 10.96/1.86 spl0_134|spl0_135|~spl0_78),
% 10.96/1.86 inference(split_clause,[status(thm)],[f4741,f4735,f4738,f1846])).
% 10.96/1.86 fof(f4769,plain,(
% 10.96/1.86 $false|~spl0_127),
% 10.96/1.86 inference(resolution,[status(thm)],[f4696,f118])).
% 10.96/1.86 fof(f4770,plain,(
% 10.96/1.86 ~spl0_127),
% 10.96/1.86 inference(contradiction_clause,[status(thm)],[f4769])).
% 10.96/1.86 fof(f4797,plain,(
% 10.96/1.86 spl0_137 <=> ~member(X0,sk0_0(empty_set,power_set(sk0_3)))),
% 10.96/1.86 introduced(split_symbol_definition)).
% 10.96/1.86 fof(f4800,plain,(
% 10.96/1.86 ![X0,X1]: (~member(X0,sk0_0(empty_set,power_set(sk0_3)))|~member(X1,power_set(sk0_3))|~spl0_54)),
% 10.96/1.86 inference(resolution,[status(thm)],[f1504,f594])).
% 10.96/1.86 fof(f4801,plain,(
% 10.96/1.86 spl0_137|spl0_135|~spl0_54),
% 10.96/1.86 inference(split_clause,[status(thm)],[f4800,f4797,f4738,f1141])).
% 10.96/1.86 fof(f4829,plain,(
% 10.96/1.86 ![X0]: (~subset(X0,sk0_3)|~spl0_135)),
% 10.96/1.86 inference(resolution,[status(thm)],[f4739,f29])).
% 10.96/1.86 fof(f4830,plain,(
% 10.96/1.86 spl0_80|~spl0_135),
% 10.96/1.86 inference(split_clause,[status(thm)],[f4829,f2166,f4738])).
% 10.96/1.86 fof(f4855,plain,(
% 10.96/1.86 ![X0]: (subset(sk0_4,X0)|~subset(empty_set,X0)|~spl0_81)),
% 10.96/1.86 inference(resolution,[status(thm)],[f2254,f1236])).
% 10.96/1.86 fof(f4856,plain,(
% 10.96/1.86 ![X0]: (subset(sk0_4,X0)|~spl0_81)),
% 10.96/1.86 inference(forward_subsumption_resolution,[status(thm)],[f4855,f118])).
% 10.96/1.86 fof(f4963,plain,(
% 10.96/1.86 ![X0]: (subset(sk0_3,X0)|~spl0_81)),
% 10.96/1.86 inference(forward_subsumption_resolution,[status(thm)],[f1234,f4856])).
% 10.96/1.86 fof(f4982,plain,(
% 10.96/1.86 ![X0,X1]: (subset(X0,X1)|~subset(X0,sk0_3)|~spl0_81)),
% 10.96/1.86 inference(resolution,[status(thm)],[f4963,f1236])).
% 10.96/1.86 fof(f4983,plain,(
% 10.96/1.86 spl0_78|~spl0_81),
% 10.96/1.86 inference(split_clause,[status(thm)],[f4982,f1846,f2172])).
% 10.96/1.86 fof(f5535,plain,(
% 10.96/1.86 subset(union(difference(sk0_4,sk0_3),sk0_3),sk0_4)|~spl0_67),
% 10.96/1.86 inference(resolution,[status(thm)],[f2217,f20])).
% 10.96/1.86 fof(f5536,plain,(
% 10.96/1.86 spl0_0|~spl0_67),
% 10.96/1.86 inference(split_clause,[status(thm)],[f5535,f81,f1602])).
% 10.96/1.86 fof(f5541,plain,(
% 10.96/1.86 $false),
% 10.96/1.86 inference(sat_refutation,[status(thm)],[f88,f166,f667,f685,f1145,f1591,f1599,f1609,f1850,f2179,f2184,f2191,f2193,f2198,f2200,f2240,f2548,f2809,f2829,f2855,f2860,f2871,f3150,f3373,f3400,f3450,f3778,f3787,f3804,f3899,f4240,f4248,f4291,f4296,f4308,f4310,f4312,f4314,f4742,f4770,f4801,f4830,f4983,f5536])).
% 10.96/1.86 % SZS output end CNFRefutation for theBenchmark.p
% 11.22/1.87 % Elapsed time: 1.507891 seconds
% 11.22/1.87 % CPU time: 11.009124 seconds
% 11.22/1.87 % Memory used: 122.948 MB
%------------------------------------------------------------------------------