TSTP Solution File: SEU235+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU235+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 1.54s 0.56s
% Output : CNFRefutation 1.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU235+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 19:37:41 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 1.54/0.56 % Refutation found
% 1.54/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.54/0.56 % SZS output start CNFRefutation for theBenchmark
% 1.54/0.56 fof(f3,axiom,(
% 1.54/0.56 (! [A] :( ordinal(A)=> ( epsilon_transitive(A)& epsilon_connected(A) ) ) )),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.54/0.56 fof(f8,axiom,(
% 1.54/0.56 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)| ordinal_subset(B,A) ) ) )),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.54/0.56 fof(f9,axiom,(
% 1.54/0.56 (! [A] :( epsilon_transitive(A)<=> (! [B] :( in(B,A)=> subset(B,A) ) )) )),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.54/0.56 fof(f13,axiom,(
% 1.54/0.56 (! [A] :(? [B] : element(B,A) ))),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.54/0.56 fof(f30,axiom,(
% 1.54/0.56 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)<=> subset(A,B) ) ) )),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.54/0.56 fof(f34,axiom,(
% 1.54/0.56 (! [A,B] :( ordinal(B)=> ( in(A,B)=> ordinal(A) ) ) )),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.54/0.56 fof(f35,axiom,(
% 1.54/0.56 (! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ~ ( ~ in(A,B)& A != B& ~ in(B,A) ) ) )) )),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.54/0.56 fof(f36,axiom,(
% 1.54/0.56 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.54/0.56 fof(f37,conjecture,(
% 1.54/0.56 (! [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) ) ) )) ) )) ) )),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.54/0.56 fof(f38,negated_conjecture,(
% 1.54/0.56 ~((! [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) ) ) )) ) )) ) ))),
% 1.54/0.56 inference(negated_conjecture,[status(cth)],[f37])).
% 1.54/0.56 fof(f39,axiom,(
% 1.54/0.56 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.54/0.56 fof(f40,axiom,(
% 1.54/0.56 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.54/0.56 fof(f41,axiom,(
% 1.54/0.56 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.54/0.56 fof(f42,axiom,(
% 1.54/0.56 (! [A] :( empty(A)=> A = empty_set ) )),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.54/0.56 fof(f44,axiom,(
% 1.54/0.56 (! [A,B] :~ ( in(A,B)& (! [C] :~ ( in(C,B)& (! [D] :~ ( in(D,B)& in(D,C) ) )) )) )),
% 1.54/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.54/0.56 fof(f50,plain,(
% 1.54/0.56 ![A]: (~ordinal(A)|(epsilon_transitive(A)&epsilon_connected(A)))),
% 1.54/0.56 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 1.54/0.56 fof(f51,plain,(
% 1.54/0.56 ![X0]: (~ordinal(X0)|epsilon_transitive(X0))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f50])).
% 1.54/0.56 fof(f65,plain,(
% 1.54/0.56 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)|ordinal_subset(B,A)))),
% 1.54/0.56 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 1.54/0.56 fof(f66,plain,(
% 1.54/0.56 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|ordinal_subset(X1,X0))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f65])).
% 1.54/0.56 fof(f67,plain,(
% 1.54/0.56 ![A]: (epsilon_transitive(A)<=>(![B]: (~in(B,A)|subset(B,A))))),
% 1.54/0.56 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 1.54/0.56 fof(f68,plain,(
% 1.54/0.56 ![A]: ((~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A))))&(epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 1.54/0.56 inference(NNF_transformation,[status(esa)],[f67])).
% 1.54/0.56 fof(f69,plain,(
% 1.54/0.56 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 1.54/0.56 inference(miniscoping,[status(esa)],[f68])).
% 1.54/0.56 fof(f70,plain,(
% 1.54/0.56 (![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))))),
% 1.54/0.56 inference(skolemization,[status(esa)],[f69])).
% 1.54/0.56 fof(f71,plain,(
% 1.54/0.56 ![X0,X1]: (~epsilon_transitive(X0)|~in(X1,X0)|subset(X1,X0))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f70])).
% 1.54/0.56 fof(f74,plain,(
% 1.54/0.56 ![A]: element(sk0_1(A),A)),
% 1.54/0.56 inference(skolemization,[status(esa)],[f13])).
% 1.54/0.56 fof(f75,plain,(
% 1.54/0.56 ![X0]: (element(sk0_1(X0),X0))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f74])).
% 1.54/0.56 fof(f135,plain,(
% 1.54/0.56 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)<=>subset(A,B)))),
% 1.54/0.56 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 1.54/0.56 fof(f136,plain,(
% 1.54/0.56 ![A,B]: ((~ordinal(A)|~ordinal(B))|((~ordinal_subset(A,B)|subset(A,B))&(ordinal_subset(A,B)|~subset(A,B))))),
% 1.54/0.56 inference(NNF_transformation,[status(esa)],[f135])).
% 1.54/0.56 fof(f138,plain,(
% 1.54/0.56 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|~subset(X0,X1))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f136])).
% 1.54/0.56 fof(f146,plain,(
% 1.54/0.56 ![A,B]: (~ordinal(B)|(~in(A,B)|ordinal(A)))),
% 1.54/0.56 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 1.54/0.56 fof(f147,plain,(
% 1.54/0.56 ![B]: (~ordinal(B)|(![A]: (~in(A,B)|ordinal(A))))),
% 1.54/0.56 inference(miniscoping,[status(esa)],[f146])).
% 1.54/0.56 fof(f148,plain,(
% 1.54/0.56 ![X0,X1]: (~ordinal(X0)|~in(X1,X0)|ordinal(X1))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f147])).
% 1.54/0.56 fof(f149,plain,(
% 1.54/0.56 ![A]: (~ordinal(A)|(![B]: (~ordinal(B)|((in(A,B)|A=B)|in(B,A)))))),
% 1.54/0.56 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 1.54/0.56 fof(f150,plain,(
% 1.54/0.56 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|in(X0,X1)|X0=X1|in(X1,X0))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f149])).
% 1.54/0.56 fof(f151,plain,(
% 1.54/0.56 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 1.54/0.56 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 1.54/0.56 fof(f152,plain,(
% 1.54/0.56 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f151])).
% 1.54/0.56 fof(f153,plain,(
% 1.54/0.56 (?[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))))))))))),
% 1.54/0.56 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 1.54/0.56 fof(f154,plain,(
% 1.54/0.56 ?[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))))))))))),
% 1.54/0.56 inference(miniscoping,[status(esa)],[f153])).
% 1.54/0.56 fof(f155,plain,(
% 1.54/0.56 (ordinal(sk0_14)&((subset(sk0_15,sk0_14)&~sk0_15=empty_set)&(![C]: (~ordinal(C)|(~in(C,sk0_15)|(ordinal(sk0_16(C))&(in(sk0_16(C),sk0_15)&~ordinal_subset(C,sk0_16(C)))))))))),
% 1.54/0.56 inference(skolemization,[status(esa)],[f154])).
% 1.54/0.56 fof(f156,plain,(
% 1.54/0.56 ordinal(sk0_14)),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f155])).
% 1.54/0.56 fof(f157,plain,(
% 1.54/0.56 subset(sk0_15,sk0_14)),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f155])).
% 1.54/0.56 fof(f158,plain,(
% 1.54/0.56 ~sk0_15=empty_set),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f155])).
% 1.54/0.56 fof(f159,plain,(
% 1.54/0.56 ![X0]: (~ordinal(X0)|~in(X0,sk0_15)|ordinal(sk0_16(X0)))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f155])).
% 1.54/0.56 fof(f160,plain,(
% 1.54/0.56 ![X0]: (~ordinal(X0)|~in(X0,sk0_15)|in(sk0_16(X0),sk0_15))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f155])).
% 1.54/0.56 fof(f161,plain,(
% 1.54/0.56 ![X0]: (~ordinal(X0)|~in(X0,sk0_15)|~ordinal_subset(X0,sk0_16(X0)))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f155])).
% 1.54/0.56 fof(f162,plain,(
% 1.54/0.56 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 1.54/0.56 inference(NNF_transformation,[status(esa)],[f39])).
% 1.54/0.56 fof(f163,plain,(
% 1.54/0.56 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 1.54/0.56 inference(miniscoping,[status(esa)],[f162])).
% 1.54/0.56 fof(f165,plain,(
% 1.54/0.56 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f163])).
% 1.54/0.56 fof(f166,plain,(
% 1.54/0.56 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 1.54/0.56 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 1.54/0.56 fof(f167,plain,(
% 1.54/0.56 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 1.54/0.56 inference(miniscoping,[status(esa)],[f166])).
% 1.54/0.56 fof(f168,plain,(
% 1.54/0.56 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f167])).
% 1.54/0.56 fof(f169,plain,(
% 1.54/0.56 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 1.54/0.56 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 1.54/0.56 fof(f170,plain,(
% 1.54/0.56 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 1.54/0.56 inference(miniscoping,[status(esa)],[f169])).
% 1.54/0.56 fof(f171,plain,(
% 1.54/0.56 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f170])).
% 1.54/0.56 fof(f172,plain,(
% 1.54/0.56 ![A]: (~empty(A)|A=empty_set)),
% 1.54/0.56 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 1.54/0.56 fof(f173,plain,(
% 1.54/0.56 ![X0]: (~empty(X0)|X0=empty_set)),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f172])).
% 1.54/0.56 fof(f177,plain,(
% 1.54/0.56 ![A,B]: (~in(A,B)|(?[C]: (in(C,B)&(![D]: (~in(D,B)|~in(D,C))))))),
% 1.54/0.56 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 1.54/0.56 fof(f178,plain,(
% 1.54/0.56 ![B]: ((![A]: ~in(A,B))|(?[C]: (in(C,B)&(![D]: (~in(D,B)|~in(D,C))))))),
% 1.54/0.56 inference(miniscoping,[status(esa)],[f177])).
% 1.54/0.56 fof(f179,plain,(
% 1.54/0.56 ![B]: ((![A]: ~in(A,B))|(in(sk0_17(B),B)&(![D]: (~in(D,B)|~in(D,sk0_17(B))))))),
% 1.54/0.56 inference(skolemization,[status(esa)],[f178])).
% 1.54/0.56 fof(f180,plain,(
% 1.54/0.56 ![X0,X1]: (~in(X0,X1)|in(sk0_17(X1),X1))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f179])).
% 1.54/0.56 fof(f181,plain,(
% 1.54/0.56 ![X0,X1,X2]: (~in(X0,X1)|~in(X2,X1)|~in(X2,sk0_17(X1)))),
% 1.54/0.56 inference(cnf_transformation,[status(esa)],[f179])).
% 1.54/0.56 fof(f209,plain,(
% 1.54/0.56 ![X0]: (~ordinal(sk0_16(X0))|~ordinal(X0)|ordinal_subset(sk0_16(X0),X0)|~ordinal(X0)|~in(X0,sk0_15))),
% 1.54/0.56 inference(resolution,[status(thm)],[f66,f161])).
% 1.54/0.56 fof(f210,plain,(
% 1.54/0.56 ![X0]: (~ordinal(sk0_16(X0))|~ordinal(X0)|ordinal_subset(sk0_16(X0),X0)|~in(X0,sk0_15))),
% 1.54/0.56 inference(duplicate_literals_removal,[status(esa)],[f209])).
% 1.54/0.56 fof(f211,plain,(
% 1.54/0.56 ![X0]: (~ordinal(X0)|ordinal_subset(sk0_16(X0),X0)|~in(X0,sk0_15))),
% 1.54/0.56 inference(forward_subsumption_resolution,[status(thm)],[f210,f159])).
% 1.54/0.56 fof(f212,plain,(
% 1.54/0.56 spl0_6 <=> ordinal(sk0_14)),
% 1.54/0.56 introduced(split_symbol_definition)).
% 1.54/0.56 fof(f214,plain,(
% 1.54/0.56 ~ordinal(sk0_14)|spl0_6),
% 1.54/0.56 inference(component_clause,[status(thm)],[f212])).
% 1.54/0.56 fof(f220,plain,(
% 1.54/0.56 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|~epsilon_transitive(X1)|~in(X0,X1))),
% 1.54/0.56 inference(resolution,[status(thm)],[f138,f71])).
% 1.54/0.56 fof(f221,plain,(
% 1.54/0.56 ![X0,X1]: (~ordinal(X0)|ordinal_subset(X1,X0)|~epsilon_transitive(X0)|~in(X1,X0))),
% 1.54/0.56 inference(forward_subsumption_resolution,[status(thm)],[f220,f148])).
% 1.54/0.56 fof(f223,plain,(
% 1.54/0.56 ![X0]: (~ordinal(sk0_16(X0))|~epsilon_transitive(sk0_16(X0))|~in(X0,sk0_16(X0))|~ordinal(X0)|~in(X0,sk0_15))),
% 1.54/0.56 inference(resolution,[status(thm)],[f221,f161])).
% 1.54/0.56 fof(f224,plain,(
% 1.54/0.56 ![X0]: (~ordinal(sk0_16(X0))|~epsilon_transitive(sk0_16(X0))|~in(X0,sk0_16(X0))|~in(X0,sk0_15))),
% 1.54/0.56 inference(forward_subsumption_resolution,[status(thm)],[f223,f148])).
% 1.54/0.56 fof(f309,plain,(
% 1.54/0.56 ![X0]: (~ordinal(sk0_16(X0))|~in(X0,sk0_16(X0))|~in(X0,sk0_15))),
% 1.54/0.56 inference(backward_subsumption_resolution,[status(thm)],[f224,f51])).
% 1.54/0.56 fof(f372,plain,(
% 1.54/0.56 ![X0]: (empty(X0)|in(sk0_1(X0),X0))),
% 1.54/0.56 inference(resolution,[status(thm)],[f152,f75])).
% 1.54/0.56 fof(f386,plain,(
% 1.54/0.56 ![X0,X1,X2]: (~in(X0,X1)|~empty(X2)|~subset(X1,X2))),
% 1.54/0.56 inference(resolution,[status(thm)],[f171,f165])).
% 1.54/0.56 fof(f388,plain,(
% 1.54/0.56 ![X0,X1,X2]: (~in(X0,X1)|element(X0,X2)|~subset(X1,X2))),
% 1.54/0.56 inference(resolution,[status(thm)],[f168,f165])).
% 1.54/0.56 fof(f466,plain,(
% 1.54/0.56 spl0_39 <=> ~in(X0,sk0_15)),
% 1.54/0.56 introduced(split_symbol_definition)).
% 1.54/0.56 fof(f467,plain,(
% 1.54/0.56 ![X0]: (~in(X0,sk0_15)|~spl0_39)),
% 1.54/0.56 inference(component_clause,[status(thm)],[f466])).
% 1.54/0.56 fof(f469,plain,(
% 1.54/0.56 spl0_40 <=> sk0_17(sk0_15)=sk0_16(sk0_17(sk0_15))),
% 1.54/0.56 introduced(split_symbol_definition)).
% 1.54/0.56 fof(f470,plain,(
% 1.54/0.56 sk0_17(sk0_15)=sk0_16(sk0_17(sk0_15))|~spl0_40),
% 1.54/0.56 inference(component_clause,[status(thm)],[f469])).
% 1.54/0.56 fof(f523,plain,(
% 1.54/0.56 spl0_43 <=> empty(sk0_14)),
% 1.54/0.56 introduced(split_symbol_definition)).
% 1.54/0.56 fof(f526,plain,(
% 1.54/0.56 ![X0]: (~in(X0,sk0_15)|~empty(sk0_14))),
% 1.54/0.56 inference(resolution,[status(thm)],[f386,f157])).
% 1.54/0.56 fof(f527,plain,(
% 1.54/0.56 spl0_39|~spl0_43),
% 1.54/0.56 inference(split_clause,[status(thm)],[f526,f466,f523])).
% 1.54/0.56 fof(f546,plain,(
% 1.54/0.56 ![X0]: (~in(X0,sk0_15)|element(X0,sk0_14))),
% 1.54/0.56 inference(resolution,[status(thm)],[f388,f157])).
% 1.54/0.56 fof(f551,plain,(
% 1.54/0.56 spl0_44 <=> ~in(X0,sk0_15)|in(X0,sk0_14)),
% 1.54/0.56 introduced(split_symbol_definition)).
% 1.54/0.56 fof(f552,plain,(
% 1.54/0.56 ![X0]: (~in(X0,sk0_15)|in(X0,sk0_14)|~spl0_44)),
% 1.54/0.56 inference(component_clause,[status(thm)],[f551])).
% 1.54/0.56 fof(f554,plain,(
% 1.54/0.56 ![X0]: (~in(X0,sk0_15)|empty(sk0_14)|in(X0,sk0_14))),
% 1.54/0.56 inference(resolution,[status(thm)],[f546,f152])).
% 1.54/0.56 fof(f555,plain,(
% 1.54/0.56 spl0_44|spl0_43),
% 1.54/0.56 inference(split_clause,[status(thm)],[f554,f551,f523])).
% 1.68/0.57 fof(f562,plain,(
% 1.68/0.57 empty(sk0_15)|~spl0_39),
% 1.68/0.57 inference(resolution,[status(thm)],[f467,f372])).
% 1.68/0.57 fof(f583,plain,(
% 1.68/0.57 spl0_49 <=> in(sk0_17(sk0_15),sk0_14)),
% 1.68/0.57 introduced(split_symbol_definition)).
% 1.68/0.57 fof(f584,plain,(
% 1.68/0.57 in(sk0_17(sk0_15),sk0_14)|~spl0_49),
% 1.68/0.57 inference(component_clause,[status(thm)],[f583])).
% 1.68/0.57 fof(f586,plain,(
% 1.68/0.57 ![X0]: (in(sk0_17(sk0_15),sk0_14)|~in(X0,sk0_15)|~spl0_44)),
% 1.68/0.57 inference(resolution,[status(thm)],[f552,f180])).
% 1.68/0.57 fof(f587,plain,(
% 1.68/0.57 spl0_49|spl0_39|~spl0_44),
% 1.68/0.57 inference(split_clause,[status(thm)],[f586,f583,f466,f551])).
% 1.68/0.57 fof(f613,plain,(
% 1.68/0.57 spl0_55 <=> ordinal(sk0_17(sk0_15))),
% 1.68/0.57 introduced(split_symbol_definition)).
% 1.68/0.57 fof(f638,plain,(
% 1.68/0.57 ~ordinal(sk0_14)|ordinal(sk0_17(sk0_15))|~spl0_49),
% 1.68/0.57 inference(resolution,[status(thm)],[f584,f148])).
% 1.68/0.57 fof(f639,plain,(
% 1.68/0.57 ~spl0_6|spl0_55|~spl0_49),
% 1.68/0.57 inference(split_clause,[status(thm)],[f638,f212,f613,f583])).
% 1.68/0.57 fof(f642,plain,(
% 1.68/0.57 $false|spl0_6),
% 1.68/0.57 inference(forward_subsumption_resolution,[status(thm)],[f214,f156])).
% 1.68/0.57 fof(f643,plain,(
% 1.68/0.57 spl0_6),
% 1.68/0.57 inference(contradiction_clause,[status(thm)],[f642])).
% 1.68/0.57 fof(f809,plain,(
% 1.68/0.57 spl0_85 <=> in(sk0_17(sk0_15),sk0_15)),
% 1.68/0.57 introduced(split_symbol_definition)).
% 1.68/0.57 fof(f811,plain,(
% 1.68/0.57 ~in(sk0_17(sk0_15),sk0_15)|spl0_85),
% 1.68/0.57 inference(component_clause,[status(thm)],[f809])).
% 1.68/0.57 fof(f812,plain,(
% 1.68/0.57 spl0_86 <=> ordinal_subset(sk0_17(sk0_15),sk0_17(sk0_15))),
% 1.68/0.57 introduced(split_symbol_definition)).
% 1.68/0.57 fof(f815,plain,(
% 1.68/0.57 ~ordinal(sk0_17(sk0_15))|~in(sk0_17(sk0_15),sk0_15)|~ordinal_subset(sk0_17(sk0_15),sk0_17(sk0_15))|~spl0_40),
% 1.68/0.57 inference(paramodulation,[status(thm)],[f470,f161])).
% 1.68/0.57 fof(f816,plain,(
% 1.68/0.57 ~spl0_55|~spl0_85|~spl0_86|~spl0_40),
% 1.68/0.57 inference(split_clause,[status(thm)],[f815,f613,f809,f812,f469])).
% 1.68/0.57 fof(f817,plain,(
% 1.68/0.57 ~ordinal(sk0_17(sk0_15))|ordinal_subset(sk0_17(sk0_15),sk0_17(sk0_15))|~in(sk0_17(sk0_15),sk0_15)|~spl0_40),
% 1.68/0.57 inference(paramodulation,[status(thm)],[f470,f211])).
% 1.68/0.57 fof(f818,plain,(
% 1.68/0.57 ~spl0_55|spl0_86|~spl0_85|~spl0_40),
% 1.68/0.57 inference(split_clause,[status(thm)],[f817,f613,f812,f809,f469])).
% 1.68/0.57 fof(f821,plain,(
% 1.68/0.57 ![X0]: (~in(X0,sk0_15)|spl0_85)),
% 1.68/0.57 inference(resolution,[status(thm)],[f811,f180])).
% 1.68/0.57 fof(f822,plain,(
% 1.68/0.57 spl0_39|spl0_85),
% 1.68/0.57 inference(split_clause,[status(thm)],[f821,f466,f809])).
% 1.68/0.57 fof(f840,plain,(
% 1.68/0.57 ![X0,X1,X2]: (~in(X0,X1)|~in(X2,X1)|~ordinal(sk0_17(X1))|~ordinal(X2)|in(sk0_17(X1),X2)|sk0_17(X1)=X2)),
% 1.68/0.57 inference(resolution,[status(thm)],[f181,f150])).
% 1.68/0.57 fof(f963,plain,(
% 1.68/0.57 ![X0,X1]: (~ordinal(sk0_16(sk0_17(X0)))|~in(sk0_17(X0),sk0_15)|~in(X1,X0)|~in(sk0_16(sk0_17(X0)),X0)|~ordinal(sk0_17(X0))|~ordinal(sk0_16(sk0_17(X0)))|sk0_17(X0)=sk0_16(sk0_17(X0)))),
% 1.68/0.57 inference(resolution,[status(thm)],[f309,f840])).
% 1.68/0.57 fof(f964,plain,(
% 1.68/0.57 ![X0,X1]: (~ordinal(sk0_16(sk0_17(X0)))|~in(sk0_17(X0),sk0_15)|~in(X1,X0)|~in(sk0_16(sk0_17(X0)),X0)|~ordinal(sk0_17(X0))|sk0_17(X0)=sk0_16(sk0_17(X0)))),
% 1.68/0.57 inference(duplicate_literals_removal,[status(esa)],[f963])).
% 1.68/0.57 fof(f965,plain,(
% 1.68/0.57 ![X0,X1]: (~in(sk0_17(X0),sk0_15)|~in(X1,X0)|~in(sk0_16(sk0_17(X0)),X0)|~ordinal(sk0_17(X0))|sk0_17(X0)=sk0_16(sk0_17(X0)))),
% 1.68/0.57 inference(forward_subsumption_resolution,[status(thm)],[f964,f159])).
% 1.68/0.57 fof(f1395,plain,(
% 1.68/0.57 ![X0]: (~in(sk0_17(sk0_15),sk0_15)|~in(X0,sk0_15)|~ordinal(sk0_17(sk0_15))|sk0_17(sk0_15)=sk0_16(sk0_17(sk0_15))|~ordinal(sk0_17(sk0_15))|~in(sk0_17(sk0_15),sk0_15))),
% 1.68/0.57 inference(resolution,[status(thm)],[f965,f160])).
% 1.68/0.57 fof(f1396,plain,(
% 1.68/0.57 ~spl0_85|spl0_39|~spl0_55|spl0_40),
% 1.68/0.57 inference(split_clause,[status(thm)],[f1395,f809,f466,f613,f469])).
% 1.68/0.57 fof(f1428,plain,(
% 1.68/0.57 sk0_15=empty_set|~spl0_39),
% 1.68/0.57 inference(resolution,[status(thm)],[f562,f173])).
% 1.68/0.57 fof(f1429,plain,(
% 1.68/0.57 $false|~spl0_39),
% 1.68/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1428,f158])).
% 1.68/0.57 fof(f1430,plain,(
% 1.68/0.57 ~spl0_39),
% 1.68/0.57 inference(contradiction_clause,[status(thm)],[f1429])).
% 1.68/0.57 fof(f1431,plain,(
% 1.68/0.57 $false),
% 1.68/0.57 inference(sat_refutation,[status(thm)],[f527,f555,f587,f639,f643,f816,f818,f822,f1396,f1430])).
% 1.68/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 1.68/0.58 % Elapsed time: 0.234232 seconds
% 1.68/0.58 % CPU time: 1.760975 seconds
% 1.68/0.58 % Total memory used: 77.685 MB
% 1.68/0.58 % Net memory used: 76.119 MB
%------------------------------------------------------------------------------