TSTP Solution File: SEU235+3 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU235+3 : TPTP v8.1.2. Released v3.2.0.
% 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 : Tue Apr 30 20:41:38 EDT 2024
% Result : Theorem 0.20s 0.57s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU235+3 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 19:46:16 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.20/0.57 % Refutation found
% 0.20/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.57 fof(f3,axiom,(
% 0.20/0.57 (! [A] :( ordinal(A)=> ( epsilon_transitive(A)& epsilon_connected(A) ) ) )),
% 0.20/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.57 fof(f8,axiom,(
% 0.20/0.57 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)| ordinal_subset(B,A) ) ) )),
% 0.20/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.57 fof(f9,axiom,(
% 0.20/0.57 (! [A] :( epsilon_transitive(A)<=> (! [B] :( in(B,A)=> subset(B,A) ) )) )),
% 0.20/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.57 fof(f10,axiom,(
% 0.20/0.57 (! [A] :(? [B] : element(B,A) ))),
% 0.20/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.57 fof(f28,axiom,(
% 0.20/0.57 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)<=> subset(A,B) ) ) )),
% 0.20/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.57 fof(f32,axiom,(
% 0.20/0.57 (! [A,B] :( ordinal(B)=> ( in(A,B)=> ordinal(A) ) ) )),
% 0.20/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.57 fof(f33,axiom,(
% 0.20/0.57 (! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ~ ( ~ in(A,B)& A != B& ~ in(B,A) ) ) )) )),
% 0.20/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.57 fof(f34,axiom,(
% 0.20/0.57 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.20/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.57 fof(f35,conjecture,(
% 0.20/0.57 (! [A,B] :( ordinal(B)=> ~ ( subset(A,B)& A != empty_set& (! [C] :( ordinal(C)=> ~ ( in(C,A)& (! [D] :( ordinal(D)=> ( in(D,A)=> ordinal_subset(C,D) ) ) )) ) )) ) )),
% 0.20/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.57 fof(f36,negated_conjecture,(
% 0.20/0.57 ~((! [A,B] :( ordinal(B)=> ~ ( subset(A,B)& A != empty_set& (! [C] :( ordinal(C)=> ~ ( in(C,A)& (! [D] :( ordinal(D)=> ( in(D,A)=> ordinal_subset(C,D) ) ) )) ) )) ) ))),
% 0.20/0.57 inference(negated_conjecture,[status(cth)],[f35])).
% 0.20/0.57 fof(f37,axiom,(
% 0.20/0.57 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.20/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.57 fof(f38,axiom,(
% 0.20/0.57 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.20/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.57 fof(f39,axiom,(
% 0.20/0.57 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.20/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.57 fof(f40,axiom,(
% 0.20/0.57 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.20/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.57 fof(f42,axiom,(
% 0.20/0.57 (! [A,B] :~ ( in(A,B)& (! [C] :~ ( in(C,B)& (! [D] :~ ( in(D,B)& in(D,C) ) )) )) )),
% 0.20/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.57 fof(f48,plain,(
% 0.20/0.57 ![A]: (~ordinal(A)|(epsilon_transitive(A)&epsilon_connected(A)))),
% 0.20/0.57 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.20/0.57 fof(f49,plain,(
% 0.20/0.57 ![X0]: (~ordinal(X0)|epsilon_transitive(X0))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f48])).
% 0.20/0.57 fof(f63,plain,(
% 0.20/0.57 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)|ordinal_subset(B,A)))),
% 0.20/0.57 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.20/0.57 fof(f64,plain,(
% 0.20/0.57 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|ordinal_subset(X1,X0))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f63])).
% 0.20/0.57 fof(f65,plain,(
% 0.20/0.57 ![A]: (epsilon_transitive(A)<=>(![B]: (~in(B,A)|subset(B,A))))),
% 0.20/0.57 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.20/0.57 fof(f66,plain,(
% 0.20/0.57 ![A]: ((~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A))))&(epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 0.20/0.57 inference(NNF_transformation,[status(esa)],[f65])).
% 0.20/0.57 fof(f67,plain,(
% 0.20/0.57 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 0.20/0.57 inference(miniscoping,[status(esa)],[f66])).
% 0.20/0.57 fof(f68,plain,(
% 0.20/0.57 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(in(sk0_0(A),A)&~subset(sk0_0(A),A))))),
% 0.20/0.57 inference(skolemization,[status(esa)],[f67])).
% 0.20/0.57 fof(f69,plain,(
% 0.20/0.57 ![X0,X1]: (~epsilon_transitive(X0)|~in(X1,X0)|subset(X1,X0))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.57 fof(f72,plain,(
% 0.20/0.57 ![A]: element(sk0_1(A),A)),
% 0.20/0.57 inference(skolemization,[status(esa)],[f10])).
% 0.20/0.57 fof(f73,plain,(
% 0.20/0.57 ![X0]: (element(sk0_1(X0),X0))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f72])).
% 0.20/0.57 fof(f137,plain,(
% 0.20/0.57 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)<=>subset(A,B)))),
% 0.20/0.57 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.20/0.57 fof(f138,plain,(
% 0.20/0.57 ![A,B]: ((~ordinal(A)|~ordinal(B))|((~ordinal_subset(A,B)|subset(A,B))&(ordinal_subset(A,B)|~subset(A,B))))),
% 0.20/0.57 inference(NNF_transformation,[status(esa)],[f137])).
% 0.20/0.57 fof(f140,plain,(
% 0.20/0.57 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|~subset(X0,X1))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f138])).
% 0.20/0.57 fof(f148,plain,(
% 0.20/0.57 ![A,B]: (~ordinal(B)|(~in(A,B)|ordinal(A)))),
% 0.20/0.57 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 0.20/0.57 fof(f149,plain,(
% 0.20/0.57 ![B]: (~ordinal(B)|(![A]: (~in(A,B)|ordinal(A))))),
% 0.20/0.57 inference(miniscoping,[status(esa)],[f148])).
% 0.20/0.57 fof(f150,plain,(
% 0.20/0.57 ![X0,X1]: (~ordinal(X0)|~in(X1,X0)|ordinal(X1))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f149])).
% 0.20/0.57 fof(f151,plain,(
% 0.20/0.57 ![A]: (~ordinal(A)|(![B]: (~ordinal(B)|((in(A,B)|A=B)|in(B,A)))))),
% 0.20/0.57 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.20/0.57 fof(f152,plain,(
% 0.20/0.57 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|in(X0,X1)|X0=X1|in(X1,X0))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f151])).
% 0.20/0.57 fof(f153,plain,(
% 0.20/0.57 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.20/0.57 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 0.20/0.57 fof(f154,plain,(
% 0.20/0.57 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f153])).
% 0.20/0.57 fof(f155,plain,(
% 0.20/0.57 (?[A,B]: (ordinal(B)&((subset(A,B)&~A=empty_set)&(![C]: (~ordinal(C)|(~in(C,A)|(?[D]: (ordinal(D)&(in(D,A)&~ordinal_subset(C,D))))))))))),
% 0.20/0.57 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.20/0.57 fof(f156,plain,(
% 0.20/0.57 ?[B]: (ordinal(B)&(?[A]: ((subset(A,B)&~A=empty_set)&(![C]: (~ordinal(C)|(~in(C,A)|(?[D]: (ordinal(D)&(in(D,A)&~ordinal_subset(C,D))))))))))),
% 0.20/0.57 inference(miniscoping,[status(esa)],[f155])).
% 0.20/0.57 fof(f157,plain,(
% 0.20/0.57 (ordinal(sk0_15)&((subset(sk0_16,sk0_15)&~sk0_16=empty_set)&(![C]: (~ordinal(C)|(~in(C,sk0_16)|(ordinal(sk0_17(C))&(in(sk0_17(C),sk0_16)&~ordinal_subset(C,sk0_17(C)))))))))),
% 0.20/0.58 inference(skolemization,[status(esa)],[f156])).
% 0.20/0.58 fof(f158,plain,(
% 0.20/0.58 ordinal(sk0_15)),
% 0.20/0.58 inference(cnf_transformation,[status(esa)],[f157])).
% 0.20/0.58 fof(f159,plain,(
% 0.20/0.58 subset(sk0_16,sk0_15)),
% 0.20/0.58 inference(cnf_transformation,[status(esa)],[f157])).
% 0.20/0.58 fof(f160,plain,(
% 0.20/0.58 ~sk0_16=empty_set),
% 0.20/0.58 inference(cnf_transformation,[status(esa)],[f157])).
% 0.20/0.58 fof(f161,plain,(
% 0.20/0.58 ![X0]: (~ordinal(X0)|~in(X0,sk0_16)|ordinal(sk0_17(X0)))),
% 0.20/0.58 inference(cnf_transformation,[status(esa)],[f157])).
% 0.20/0.58 fof(f162,plain,(
% 0.20/0.58 ![X0]: (~ordinal(X0)|~in(X0,sk0_16)|in(sk0_17(X0),sk0_16))),
% 0.20/0.58 inference(cnf_transformation,[status(esa)],[f157])).
% 0.20/0.58 fof(f163,plain,(
% 0.20/0.58 ![X0]: (~ordinal(X0)|~in(X0,sk0_16)|~ordinal_subset(X0,sk0_17(X0)))),
% 0.20/0.58 inference(cnf_transformation,[status(esa)],[f157])).
% 0.20/0.58 fof(f164,plain,(
% 0.20/0.58 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.20/0.58 inference(NNF_transformation,[status(esa)],[f37])).
% 0.20/0.58 fof(f165,plain,(
% 0.20/0.58 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.20/0.58 inference(miniscoping,[status(esa)],[f164])).
% 0.20/0.58 fof(f167,plain,(
% 0.20/0.58 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 0.20/0.58 inference(cnf_transformation,[status(esa)],[f165])).
% 0.20/0.58 fof(f168,plain,(
% 0.20/0.58 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.20/0.58 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.20/0.58 fof(f169,plain,(
% 0.20/0.58 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.20/0.58 inference(miniscoping,[status(esa)],[f168])).
% 0.20/0.58 fof(f170,plain,(
% 0.20/0.58 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.20/0.58 inference(cnf_transformation,[status(esa)],[f169])).
% 0.20/0.58 fof(f171,plain,(
% 0.20/0.58 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 0.20/0.58 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 0.20/0.58 fof(f172,plain,(
% 0.20/0.58 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 0.20/0.58 inference(miniscoping,[status(esa)],[f171])).
% 0.20/0.58 fof(f173,plain,(
% 0.20/0.58 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 0.20/0.58 inference(cnf_transformation,[status(esa)],[f172])).
% 0.20/0.58 fof(f174,plain,(
% 0.20/0.58 ![A]: (~empty(A)|A=empty_set)),
% 0.20/0.58 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.20/0.58 fof(f175,plain,(
% 0.20/0.58 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.20/0.58 inference(cnf_transformation,[status(esa)],[f174])).
% 0.20/0.58 fof(f179,plain,(
% 0.20/0.58 ![A,B]: (~in(A,B)|(?[C]: (in(C,B)&(![D]: (~in(D,B)|~in(D,C))))))),
% 0.20/0.58 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.20/0.58 fof(f180,plain,(
% 0.20/0.58 ![B]: ((![A]: ~in(A,B))|(?[C]: (in(C,B)&(![D]: (~in(D,B)|~in(D,C))))))),
% 0.20/0.58 inference(miniscoping,[status(esa)],[f179])).
% 0.20/0.58 fof(f181,plain,(
% 0.20/0.58 ![B]: ((![A]: ~in(A,B))|(in(sk0_18(B),B)&(![D]: (~in(D,B)|~in(D,sk0_18(B))))))),
% 0.20/0.58 inference(skolemization,[status(esa)],[f180])).
% 0.20/0.58 fof(f182,plain,(
% 0.20/0.58 ![X0,X1]: (~in(X0,X1)|in(sk0_18(X1),X1))),
% 0.20/0.58 inference(cnf_transformation,[status(esa)],[f181])).
% 0.20/0.58 fof(f183,plain,(
% 0.20/0.58 ![X0,X1,X2]: (~in(X0,X1)|~in(X2,X1)|~in(X2,sk0_18(X1)))),
% 0.20/0.58 inference(cnf_transformation,[status(esa)],[f181])).
% 0.20/0.58 fof(f195,plain,(
% 0.20/0.58 spl0_2 <=> empty(sk0_16)),
% 0.20/0.58 introduced(split_symbol_definition)).
% 0.20/0.58 fof(f196,plain,(
% 0.20/0.58 empty(sk0_16)|~spl0_2),
% 0.20/0.58 inference(component_clause,[status(thm)],[f195])).
% 0.20/0.58 fof(f197,plain,(
% 0.20/0.58 ~empty(sk0_16)|spl0_2),
% 0.20/0.58 inference(component_clause,[status(thm)],[f195])).
% 0.20/0.58 fof(f211,plain,(
% 0.20/0.58 ![X0]: (~ordinal(sk0_17(X0))|~ordinal(X0)|ordinal_subset(sk0_17(X0),X0)|~ordinal(X0)|~in(X0,sk0_16))),
% 0.20/0.58 inference(resolution,[status(thm)],[f64,f163])).
% 0.20/0.58 fof(f212,plain,(
% 0.20/0.58 ![X0]: (~ordinal(sk0_17(X0))|~ordinal(X0)|ordinal_subset(sk0_17(X0),X0)|~in(X0,sk0_16))),
% 0.20/0.58 inference(duplicate_literals_removal,[status(esa)],[f211])).
% 0.20/0.58 fof(f213,plain,(
% 0.20/0.58 ![X0]: (~ordinal(X0)|ordinal_subset(sk0_17(X0),X0)|~in(X0,sk0_16))),
% 0.20/0.58 inference(forward_subsumption_resolution,[status(thm)],[f212,f161])).
% 0.20/0.58 fof(f214,plain,(
% 0.20/0.58 spl0_6 <=> ordinal(sk0_15)),
% 0.20/0.58 introduced(split_symbol_definition)).
% 0.20/0.58 fof(f216,plain,(
% 0.20/0.58 ~ordinal(sk0_15)|spl0_6),
% 0.20/0.58 inference(component_clause,[status(thm)],[f214])).
% 0.20/0.58 fof(f222,plain,(
% 0.20/0.58 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|~epsilon_transitive(X1)|~in(X0,X1))),
% 0.20/0.58 inference(resolution,[status(thm)],[f140,f69])).
% 0.20/0.58 fof(f223,plain,(
% 0.20/0.58 ![X0,X1]: (~ordinal(X0)|ordinal_subset(X1,X0)|~epsilon_transitive(X0)|~in(X1,X0))),
% 0.20/0.58 inference(forward_subsumption_resolution,[status(thm)],[f222,f150])).
% 0.20/0.58 fof(f225,plain,(
% 0.20/0.58 ![X0]: (~ordinal(sk0_17(X0))|~epsilon_transitive(sk0_17(X0))|~in(X0,sk0_17(X0))|~ordinal(X0)|~in(X0,sk0_16))),
% 0.20/0.58 inference(resolution,[status(thm)],[f223,f163])).
% 0.20/0.58 fof(f226,plain,(
% 0.20/0.58 ![X0]: (~ordinal(sk0_17(X0))|~epsilon_transitive(sk0_17(X0))|~in(X0,sk0_17(X0))|~in(X0,sk0_16))),
% 0.20/0.58 inference(forward_subsumption_resolution,[status(thm)],[f225,f150])).
% 0.20/0.58 fof(f311,plain,(
% 0.20/0.58 ![X0]: (~ordinal(sk0_17(X0))|~in(X0,sk0_17(X0))|~in(X0,sk0_16))),
% 0.20/0.58 inference(backward_subsumption_resolution,[status(thm)],[f226,f49])).
% 0.20/0.58 fof(f374,plain,(
% 0.20/0.58 ![X0]: (empty(X0)|in(sk0_1(X0),X0))),
% 0.20/0.58 inference(resolution,[status(thm)],[f154,f73])).
% 0.20/0.58 fof(f388,plain,(
% 0.20/0.58 ![X0,X1,X2]: (~in(X0,X1)|~empty(X2)|~subset(X1,X2))),
% 0.20/0.58 inference(resolution,[status(thm)],[f173,f167])).
% 0.20/0.58 fof(f390,plain,(
% 0.20/0.58 ![X0,X1,X2]: (~in(X0,X1)|element(X0,X2)|~subset(X1,X2))),
% 0.20/0.58 inference(resolution,[status(thm)],[f170,f167])).
% 0.20/0.58 fof(f476,plain,(
% 0.20/0.58 spl0_41 <=> ~in(X0,sk0_16)),
% 0.20/0.58 introduced(split_symbol_definition)).
% 0.20/0.58 fof(f477,plain,(
% 0.20/0.58 ![X0]: (~in(X0,sk0_16)|~spl0_41)),
% 0.20/0.58 inference(component_clause,[status(thm)],[f476])).
% 0.20/0.58 fof(f479,plain,(
% 0.20/0.58 spl0_42 <=> sk0_18(sk0_16)=sk0_17(sk0_18(sk0_16))),
% 0.20/0.58 introduced(split_symbol_definition)).
% 0.20/0.58 fof(f480,plain,(
% 0.20/0.58 sk0_18(sk0_16)=sk0_17(sk0_18(sk0_16))|~spl0_42),
% 0.20/0.58 inference(component_clause,[status(thm)],[f479])).
% 0.20/0.58 fof(f533,plain,(
% 0.20/0.58 spl0_45 <=> empty(sk0_15)),
% 0.20/0.58 introduced(split_symbol_definition)).
% 0.20/0.58 fof(f536,plain,(
% 0.20/0.58 ![X0]: (~in(X0,sk0_16)|~empty(sk0_15))),
% 0.20/0.58 inference(resolution,[status(thm)],[f388,f159])).
% 0.20/0.58 fof(f537,plain,(
% 0.20/0.58 spl0_41|~spl0_45),
% 0.20/0.58 inference(split_clause,[status(thm)],[f536,f476,f533])).
% 0.20/0.58 fof(f556,plain,(
% 0.20/0.58 ![X0]: (~in(X0,sk0_16)|element(X0,sk0_15))),
% 0.20/0.58 inference(resolution,[status(thm)],[f390,f159])).
% 0.20/0.58 fof(f561,plain,(
% 0.20/0.58 spl0_46 <=> ~in(X0,sk0_16)|in(X0,sk0_15)),
% 0.20/0.58 introduced(split_symbol_definition)).
% 0.20/0.58 fof(f562,plain,(
% 0.20/0.58 ![X0]: (~in(X0,sk0_16)|in(X0,sk0_15)|~spl0_46)),
% 0.20/0.58 inference(component_clause,[status(thm)],[f561])).
% 0.20/0.58 fof(f564,plain,(
% 0.20/0.58 ![X0]: (~in(X0,sk0_16)|empty(sk0_15)|in(X0,sk0_15))),
% 0.20/0.58 inference(resolution,[status(thm)],[f556,f154])).
% 0.20/0.58 fof(f565,plain,(
% 0.20/0.58 spl0_46|spl0_45),
% 0.20/0.58 inference(split_clause,[status(thm)],[f564,f561,f533])).
% 0.20/0.58 fof(f572,plain,(
% 0.20/0.58 empty(sk0_16)|~spl0_41),
% 0.20/0.58 inference(resolution,[status(thm)],[f477,f374])).
% 0.20/0.58 fof(f573,plain,(
% 0.20/0.58 $false|spl0_2|~spl0_41),
% 0.20/0.58 inference(forward_subsumption_resolution,[status(thm)],[f572,f197])).
% 0.20/0.58 fof(f574,plain,(
% 0.20/0.58 spl0_2|~spl0_41),
% 0.20/0.58 inference(contradiction_clause,[status(thm)],[f573])).
% 0.20/0.58 fof(f593,plain,(
% 0.20/0.58 spl0_51 <=> in(sk0_18(sk0_16),sk0_15)),
% 0.20/0.58 introduced(split_symbol_definition)).
% 0.20/0.58 fof(f594,plain,(
% 0.20/0.58 in(sk0_18(sk0_16),sk0_15)|~spl0_51),
% 0.20/0.58 inference(component_clause,[status(thm)],[f593])).
% 0.20/0.58 fof(f596,plain,(
% 0.20/0.58 ![X0]: (in(sk0_18(sk0_16),sk0_15)|~in(X0,sk0_16)|~spl0_46)),
% 0.20/0.58 inference(resolution,[status(thm)],[f562,f182])).
% 0.20/0.58 fof(f597,plain,(
% 0.20/0.58 spl0_51|spl0_41|~spl0_46),
% 0.20/0.58 inference(split_clause,[status(thm)],[f596,f593,f476,f561])).
% 0.20/0.58 fof(f623,plain,(
% 0.20/0.58 spl0_57 <=> ordinal(sk0_18(sk0_16))),
% 0.20/0.58 introduced(split_symbol_definition)).
% 0.20/0.58 fof(f648,plain,(
% 0.20/0.58 ~ordinal(sk0_15)|ordinal(sk0_18(sk0_16))|~spl0_51),
% 0.20/0.58 inference(resolution,[status(thm)],[f594,f150])).
% 0.20/0.58 fof(f649,plain,(
% 0.20/0.58 ~spl0_6|spl0_57|~spl0_51),
% 0.20/0.58 inference(split_clause,[status(thm)],[f648,f214,f623,f593])).
% 0.20/0.58 fof(f652,plain,(
% 0.20/0.58 $false|spl0_6),
% 0.20/0.58 inference(forward_subsumption_resolution,[status(thm)],[f216,f158])).
% 0.20/0.58 fof(f653,plain,(
% 0.20/0.58 spl0_6),
% 0.20/0.58 inference(contradiction_clause,[status(thm)],[f652])).
% 0.20/0.58 fof(f813,plain,(
% 0.20/0.58 ![X0,X1,X2]: (~in(X0,X1)|~in(X2,X1)|~ordinal(sk0_18(X1))|~ordinal(X2)|in(sk0_18(X1),X2)|sk0_18(X1)=X2)),
% 0.20/0.58 inference(resolution,[status(thm)],[f183,f152])).
% 0.20/0.58 fof(f937,plain,(
% 0.20/0.58 ![X0,X1]: (~ordinal(sk0_17(sk0_18(X0)))|~in(sk0_18(X0),sk0_16)|~in(X1,X0)|~in(sk0_17(sk0_18(X0)),X0)|~ordinal(sk0_18(X0))|~ordinal(sk0_17(sk0_18(X0)))|sk0_18(X0)=sk0_17(sk0_18(X0)))),
% 0.20/0.58 inference(resolution,[status(thm)],[f311,f813])).
% 0.20/0.58 fof(f938,plain,(
% 0.20/0.58 ![X0,X1]: (~ordinal(sk0_17(sk0_18(X0)))|~in(sk0_18(X0),sk0_16)|~in(X1,X0)|~in(sk0_17(sk0_18(X0)),X0)|~ordinal(sk0_18(X0))|sk0_18(X0)=sk0_17(sk0_18(X0)))),
% 0.20/0.58 inference(duplicate_literals_removal,[status(esa)],[f937])).
% 0.20/0.58 fof(f939,plain,(
% 0.20/0.58 ![X0,X1]: (~in(sk0_18(X0),sk0_16)|~in(X1,X0)|~in(sk0_17(sk0_18(X0)),X0)|~ordinal(sk0_18(X0))|sk0_18(X0)=sk0_17(sk0_18(X0)))),
% 0.20/0.58 inference(forward_subsumption_resolution,[status(thm)],[f938,f161])).
% 0.20/0.58 fof(f960,plain,(
% 0.20/0.58 spl0_100 <=> in(sk0_18(sk0_16),sk0_16)),
% 0.20/0.58 introduced(split_symbol_definition)).
% 0.20/0.58 fof(f962,plain,(
% 0.20/0.58 ~in(sk0_18(sk0_16),sk0_16)|spl0_100),
% 0.20/0.58 inference(component_clause,[status(thm)],[f960])).
% 0.20/0.58 fof(f972,plain,(
% 0.20/0.58 spl0_102 <=> ordinal_subset(sk0_18(sk0_16),sk0_18(sk0_16))),
% 0.20/0.58 introduced(split_symbol_definition)).
% 0.20/0.58 fof(f975,plain,(
% 0.20/0.58 ~ordinal(sk0_18(sk0_16))|~in(sk0_18(sk0_16),sk0_16)|~ordinal_subset(sk0_18(sk0_16),sk0_18(sk0_16))|~spl0_42),
% 0.20/0.58 inference(paramodulation,[status(thm)],[f480,f163])).
% 0.20/0.58 fof(f976,plain,(
% 0.20/0.58 ~spl0_57|~spl0_100|~spl0_102|~spl0_42),
% 0.20/0.58 inference(split_clause,[status(thm)],[f975,f623,f960,f972,f479])).
% 0.20/0.58 fof(f977,plain,(
% 0.20/0.58 ~ordinal(sk0_18(sk0_16))|ordinal_subset(sk0_18(sk0_16),sk0_18(sk0_16))|~in(sk0_18(sk0_16),sk0_16)|~spl0_42),
% 0.20/0.58 inference(paramodulation,[status(thm)],[f480,f213])).
% 0.20/0.58 fof(f978,plain,(
% 0.20/0.58 ~spl0_57|spl0_102|~spl0_100|~spl0_42),
% 0.20/0.58 inference(split_clause,[status(thm)],[f977,f623,f972,f960,f479])).
% 0.20/0.58 fof(f991,plain,(
% 0.20/0.58 ![X0]: (~in(X0,sk0_16)|spl0_100)),
% 0.20/0.58 inference(resolution,[status(thm)],[f962,f182])).
% 0.20/0.58 fof(f992,plain,(
% 0.20/0.58 spl0_41|spl0_100),
% 0.20/0.58 inference(split_clause,[status(thm)],[f991,f476,f960])).
% 0.20/0.58 fof(f1366,plain,(
% 0.20/0.58 ![X0]: (~in(sk0_18(sk0_16),sk0_16)|~in(X0,sk0_16)|~ordinal(sk0_18(sk0_16))|sk0_18(sk0_16)=sk0_17(sk0_18(sk0_16))|~ordinal(sk0_18(sk0_16))|~in(sk0_18(sk0_16),sk0_16))),
% 0.20/0.58 inference(resolution,[status(thm)],[f939,f162])).
% 0.20/0.58 fof(f1367,plain,(
% 0.20/0.58 ~spl0_100|spl0_41|~spl0_57|spl0_42),
% 0.20/0.58 inference(split_clause,[status(thm)],[f1366,f960,f476,f623,f479])).
% 0.20/0.58 fof(f1396,plain,(
% 0.20/0.58 sk0_16=empty_set|~spl0_2),
% 0.20/0.58 inference(resolution,[status(thm)],[f196,f175])).
% 0.20/0.58 fof(f1397,plain,(
% 0.20/0.58 $false|~spl0_2),
% 0.20/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1396,f160])).
% 0.20/0.58 fof(f1398,plain,(
% 0.20/0.58 ~spl0_2),
% 0.20/0.58 inference(contradiction_clause,[status(thm)],[f1397])).
% 0.20/0.58 fof(f1399,plain,(
% 0.20/0.58 $false),
% 0.20/0.58 inference(sat_refutation,[status(thm)],[f537,f565,f574,f597,f649,f653,f976,f978,f992,f1367,f1398])).
% 0.20/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.59 % Elapsed time: 0.242160 seconds
% 0.20/0.59 % CPU time: 1.808487 seconds
% 0.20/0.59 % Total memory used: 78.058 MB
% 0.20/0.59 % Net memory used: 76.716 MB
%------------------------------------------------------------------------------