TSTP Solution File: LAT359+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT359+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:17:46 EDT 2023
% Result : Theorem 1.81s 0.62s
% Output : CNFRefutation 1.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LAT359+1 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 09:37:58 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 1.81/0.62 % Refutation found
% 1.81/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.81/0.62 % SZS output start CNFRefutation for theBenchmark
% 1.81/0.62 fof(f1,conjecture,(
% 1.81/0.62 (! [A] :( ( ~ v3_struct_0(A)& l2_altcat_1(A) )=> (! [B,C,D] :~ ( r2_hidden(D,k1_binop_1(u1_altcat_1(A),B,C))& (! [E] :( m1_subset_1(E,u1_struct_0(A))=> (! [F] :( m1_subset_1(F,u1_struct_0(A))=> ~ ( E = B& F = C& r2_hidden(D,k1_altcat_1(A,E,F))& m1_subset_1(D,k1_altcat_1(A,E,F)) ) ) )) )) )) )),
% 1.81/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.62 fof(f2,negated_conjecture,(
% 1.81/0.62 ~((! [A] :( ( ~ v3_struct_0(A)& l2_altcat_1(A) )=> (! [B,C,D] :~ ( r2_hidden(D,k1_binop_1(u1_altcat_1(A),B,C))& (! [E] :( m1_subset_1(E,u1_struct_0(A))=> (! [F] :( m1_subset_1(F,u1_struct_0(A))=> ~ ( E = B& F = C& r2_hidden(D,k1_altcat_1(A,E,F))& m1_subset_1(D,k1_altcat_1(A,E,F)) ) ) )) )) )) ))),
% 1.81/0.62 inference(negated_conjecture,[status(cth)],[f1])).
% 1.81/0.62 fof(f19,axiom,(
% 1.81/0.62 (! [A] :( ( v1_relat_1(A)& v1_funct_1(A) )=> (! [B,C] : k1_binop_1(A,B,C) = k1_funct_1(A,k4_tarski(B,C)) )) )),
% 1.81/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.62 fof(f20,axiom,(
% 1.81/0.62 (! [A] :( l1_altcat_1(A)=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> k1_altcat_1(A,B,C) = k1_binop_1(u1_altcat_1(A),B,C) ) )) )) )),
% 1.81/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.62 fof(f21,axiom,(
% 1.81/0.62 (! [A,B] :( ( v1_relat_1(B)& v1_funct_1(B) )=> ( m1_pboole(B,A)<=> k1_relat_1(B) = A ) ) )),
% 1.81/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.62 fof(f22,axiom,(
% 1.81/0.62 (! [A] :( ( v1_relat_1(A)& v1_funct_1(A) )=> (! [B,C] :( ( r2_hidden(B,k1_relat_1(A))=> ( C = k1_funct_1(A,B)<=> r2_hidden(k4_tarski(B,C),A) ) )& ( ~ r2_hidden(B,k1_relat_1(A))=> ( C = k1_funct_1(A,B)<=> C = k1_xboole_0 ) ) ) )) )),
% 1.81/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.62 fof(f35,axiom,(
% 1.81/0.62 (! [A] :( l2_altcat_1(A)=> l1_altcat_1(A) ) )),
% 1.81/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.62 fof(f36,axiom,(
% 1.81/0.62 (! [A,B] :( m1_pboole(B,A)=> ( v1_relat_1(B)& v1_funct_1(B) ) ) )),
% 1.81/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.62 fof(f38,axiom,(
% 1.81/0.62 (! [A] :( l1_altcat_1(A)=> m1_pboole(u1_altcat_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) )),
% 1.81/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.62 fof(f58,axiom,(
% 1.81/0.62 ( v1_xboole_0(k1_xboole_0)& v1_membered(k1_xboole_0)& v2_membered(k1_xboole_0)& v3_membered(k1_xboole_0)& v4_membered(k1_xboole_0)& v5_membered(k1_xboole_0) ) ),
% 1.81/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.62 fof(f69,axiom,(
% 1.81/0.62 (! [A,B,C,D] :( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D))<=> ( r2_hidden(A,C)& r2_hidden(B,D) ) ) )),
% 1.81/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.62 fof(f70,axiom,(
% 1.81/0.62 (! [A,B] :( r2_hidden(A,B)=> m1_subset_1(A,B) ) )),
% 1.81/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.62 fof(f71,axiom,(
% 1.81/0.62 (! [A,B] :( m1_subset_1(A,B)=> ( v1_xboole_0(B)| r2_hidden(A,B) ) ) )),
% 1.81/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.62 fof(f73,axiom,(
% 1.81/0.62 (! [A,B] :~ ( r2_hidden(A,B)& v1_xboole_0(B) ) )),
% 1.81/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.81/0.62 fof(f75,plain,(
% 1.81/0.62 (?[A]: ((~v3_struct_0(A)&l2_altcat_1(A))&(?[B,C,D]: (r2_hidden(D,k1_binop_1(u1_altcat_1(A),B,C))&(![E]: (~m1_subset_1(E,u1_struct_0(A))|(![F]: (~m1_subset_1(F,u1_struct_0(A))|(((~E=B|~F=C)|~r2_hidden(D,k1_altcat_1(A,E,F)))|~m1_subset_1(D,k1_altcat_1(A,E,F)))))))))))),
% 1.81/0.62 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 1.81/0.62 fof(f76,plain,(
% 1.81/0.62 ((~v3_struct_0(sk0_0)&l2_altcat_1(sk0_0))&(r2_hidden(sk0_3,k1_binop_1(u1_altcat_1(sk0_0),sk0_1,sk0_2))&(![E]: (~m1_subset_1(E,u1_struct_0(sk0_0))|(![F]: (~m1_subset_1(F,u1_struct_0(sk0_0))|(((~E=sk0_1|~F=sk0_2)|~r2_hidden(sk0_3,k1_altcat_1(sk0_0,E,F)))|~m1_subset_1(sk0_3,k1_altcat_1(sk0_0,E,F)))))))))),
% 1.81/0.62 inference(skolemization,[status(esa)],[f75])).
% 1.81/0.62 fof(f78,plain,(
% 1.81/0.62 l2_altcat_1(sk0_0)),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f76])).
% 1.81/0.62 fof(f79,plain,(
% 1.81/0.62 r2_hidden(sk0_3,k1_binop_1(u1_altcat_1(sk0_0),sk0_1,sk0_2))),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f76])).
% 1.81/0.62 fof(f80,plain,(
% 1.81/0.62 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~m1_subset_1(X1,u1_struct_0(sk0_0))|~X0=sk0_1|~X1=sk0_2|~r2_hidden(sk0_3,k1_altcat_1(sk0_0,X0,X1))|~m1_subset_1(sk0_3,k1_altcat_1(sk0_0,X0,X1)))),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f76])).
% 1.81/0.62 fof(f128,plain,(
% 1.81/0.62 ![A]: ((~v1_relat_1(A)|~v1_funct_1(A))|(![B,C]: k1_binop_1(A,B,C)=k1_funct_1(A,k4_tarski(B,C))))),
% 1.81/0.62 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 1.81/0.62 fof(f129,plain,(
% 1.81/0.62 ![X0,X1,X2]: (~v1_relat_1(X0)|~v1_funct_1(X0)|k1_binop_1(X0,X1,X2)=k1_funct_1(X0,k4_tarski(X1,X2)))),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f128])).
% 1.81/0.62 fof(f130,plain,(
% 1.81/0.62 ![A]: (~l1_altcat_1(A)|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|k1_altcat_1(A,B,C)=k1_binop_1(u1_altcat_1(A),B,C))))))),
% 1.81/0.62 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 1.81/0.62 fof(f131,plain,(
% 1.81/0.62 ![X0,X1,X2]: (~l1_altcat_1(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|k1_altcat_1(X0,X1,X2)=k1_binop_1(u1_altcat_1(X0),X1,X2))),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f130])).
% 1.81/0.62 fof(f132,plain,(
% 1.81/0.62 ![A,B]: ((~v1_relat_1(B)|~v1_funct_1(B))|(m1_pboole(B,A)<=>k1_relat_1(B)=A))),
% 1.81/0.62 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 1.81/0.62 fof(f133,plain,(
% 1.81/0.62 ![A,B]: ((~v1_relat_1(B)|~v1_funct_1(B))|((~m1_pboole(B,A)|k1_relat_1(B)=A)&(m1_pboole(B,A)|~k1_relat_1(B)=A)))),
% 1.81/0.62 inference(NNF_transformation,[status(esa)],[f132])).
% 1.81/0.62 fof(f134,plain,(
% 1.81/0.62 ![B]: ((~v1_relat_1(B)|~v1_funct_1(B))|((![A]: (~m1_pboole(B,A)|k1_relat_1(B)=A))&(![A]: (m1_pboole(B,A)|~k1_relat_1(B)=A))))),
% 1.81/0.62 inference(miniscoping,[status(esa)],[f133])).
% 1.81/0.62 fof(f135,plain,(
% 1.81/0.62 ![X0,X1]: (~v1_relat_1(X0)|~v1_funct_1(X0)|~m1_pboole(X0,X1)|k1_relat_1(X0)=X1)),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f134])).
% 1.81/0.62 fof(f137,plain,(
% 1.81/0.62 ![A]: ((~v1_relat_1(A)|~v1_funct_1(A))|(![B,C]: ((~r2_hidden(B,k1_relat_1(A))|(C=k1_funct_1(A,B)<=>r2_hidden(k4_tarski(B,C),A)))&(r2_hidden(B,k1_relat_1(A))|(C=k1_funct_1(A,B)<=>C=k1_xboole_0)))))),
% 1.81/0.62 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 1.81/0.62 fof(f138,plain,(
% 1.81/0.62 ![A]: ((~v1_relat_1(A)|~v1_funct_1(A))|(![B,C]: ((~r2_hidden(B,k1_relat_1(A))|((~C=k1_funct_1(A,B)|r2_hidden(k4_tarski(B,C),A))&(C=k1_funct_1(A,B)|~r2_hidden(k4_tarski(B,C),A))))&(r2_hidden(B,k1_relat_1(A))|((~C=k1_funct_1(A,B)|C=k1_xboole_0)&(C=k1_funct_1(A,B)|~C=k1_xboole_0))))))),
% 1.81/0.62 inference(NNF_transformation,[status(esa)],[f137])).
% 1.81/0.62 fof(f139,plain,(
% 1.81/0.62 ![A]: ((~v1_relat_1(A)|~v1_funct_1(A))|((![B]: (~r2_hidden(B,k1_relat_1(A))|((![C]: (~C=k1_funct_1(A,B)|r2_hidden(k4_tarski(B,C),A)))&(![C]: (C=k1_funct_1(A,B)|~r2_hidden(k4_tarski(B,C),A))))))&(![B]: (r2_hidden(B,k1_relat_1(A))|((![C]: (~C=k1_funct_1(A,B)|C=k1_xboole_0))&(![C]: (C=k1_funct_1(A,B)|~C=k1_xboole_0)))))))),
% 1.81/0.62 inference(miniscoping,[status(esa)],[f138])).
% 1.81/0.62 fof(f142,plain,(
% 1.81/0.62 ![X0,X1,X2]: (~v1_relat_1(X0)|~v1_funct_1(X0)|r2_hidden(X1,k1_relat_1(X0))|~X2=k1_funct_1(X0,X1)|X2=k1_xboole_0)),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f139])).
% 1.81/0.62 fof(f147,plain,(
% 1.81/0.62 ![A]: (~l2_altcat_1(A)|l1_altcat_1(A))),
% 1.81/0.62 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 1.81/0.62 fof(f148,plain,(
% 1.81/0.62 ![X0]: (~l2_altcat_1(X0)|l1_altcat_1(X0))),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f147])).
% 1.81/0.62 fof(f149,plain,(
% 1.81/0.62 ![A,B]: (~m1_pboole(B,A)|(v1_relat_1(B)&v1_funct_1(B)))),
% 1.81/0.62 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 1.81/0.62 fof(f150,plain,(
% 1.81/0.62 ![B]: ((![A]: ~m1_pboole(B,A))|(v1_relat_1(B)&v1_funct_1(B)))),
% 1.81/0.62 inference(miniscoping,[status(esa)],[f149])).
% 1.81/0.62 fof(f151,plain,(
% 1.81/0.62 ![X0,X1]: (~m1_pboole(X0,X1)|v1_relat_1(X0))),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f150])).
% 1.81/0.62 fof(f152,plain,(
% 1.81/0.62 ![X0,X1]: (~m1_pboole(X0,X1)|v1_funct_1(X0))),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f150])).
% 1.81/0.62 fof(f153,plain,(
% 1.81/0.62 ![A]: (~l1_altcat_1(A)|m1_pboole(u1_altcat_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))))),
% 1.81/0.62 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 1.81/0.62 fof(f154,plain,(
% 1.81/0.62 ![X0]: (~l1_altcat_1(X0)|m1_pboole(u1_altcat_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0))))),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f153])).
% 1.81/0.62 fof(f212,plain,(
% 1.81/0.62 v1_xboole_0(k1_xboole_0)),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f58])).
% 1.81/0.62 fof(f254,plain,(
% 1.81/0.62 ![A,B,C,D]: ((~r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D))|(r2_hidden(A,C)&r2_hidden(B,D)))&(r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D))|(~r2_hidden(A,C)|~r2_hidden(B,D))))),
% 1.81/0.62 inference(NNF_transformation,[status(esa)],[f69])).
% 1.81/0.62 fof(f255,plain,(
% 1.81/0.62 (![A,B,C,D]: (~r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D))|(r2_hidden(A,C)&r2_hidden(B,D))))&(![A,B,C,D]: (r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D))|(~r2_hidden(A,C)|~r2_hidden(B,D))))),
% 1.81/0.62 inference(miniscoping,[status(esa)],[f254])).
% 1.81/0.62 fof(f256,plain,(
% 1.81/0.62 ![X0,X1,X2,X3]: (~r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))|r2_hidden(X0,X2))),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f255])).
% 1.81/0.62 fof(f257,plain,(
% 1.81/0.62 ![X0,X1,X2,X3]: (~r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))|r2_hidden(X1,X3))),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f255])).
% 1.81/0.62 fof(f259,plain,(
% 1.81/0.62 ![A,B]: (~r2_hidden(A,B)|m1_subset_1(A,B))),
% 1.81/0.62 inference(pre_NNF_transformation,[status(esa)],[f70])).
% 1.81/0.62 fof(f260,plain,(
% 1.81/0.62 ![X0,X1]: (~r2_hidden(X0,X1)|m1_subset_1(X0,X1))),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f259])).
% 1.81/0.62 fof(f261,plain,(
% 1.81/0.62 ![A,B]: (~m1_subset_1(A,B)|(v1_xboole_0(B)|r2_hidden(A,B)))),
% 1.81/0.62 inference(pre_NNF_transformation,[status(esa)],[f71])).
% 1.81/0.62 fof(f262,plain,(
% 1.81/0.62 ![X0,X1]: (~m1_subset_1(X0,X1)|v1_xboole_0(X1)|r2_hidden(X0,X1))),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f261])).
% 1.81/0.62 fof(f265,plain,(
% 1.81/0.62 ![A,B]: (~r2_hidden(A,B)|~v1_xboole_0(B))),
% 1.81/0.62 inference(pre_NNF_transformation,[status(esa)],[f73])).
% 1.81/0.62 fof(f266,plain,(
% 1.81/0.62 ![B]: ((![A]: ~r2_hidden(A,B))|~v1_xboole_0(B))),
% 1.81/0.62 inference(miniscoping,[status(esa)],[f265])).
% 1.81/0.62 fof(f267,plain,(
% 1.81/0.62 ![X0,X1]: (~r2_hidden(X0,X1)|~v1_xboole_0(X1))),
% 1.81/0.62 inference(cnf_transformation,[status(esa)],[f266])).
% 1.81/0.62 fof(f271,plain,(
% 1.81/0.62 l1_altcat_1(sk0_0)),
% 1.81/0.62 inference(resolution,[status(thm)],[f148,f78])).
% 1.81/0.62 fof(f272,plain,(
% 1.81/0.62 ~v1_xboole_0(k1_binop_1(u1_altcat_1(sk0_0),sk0_1,sk0_2))),
% 1.81/0.62 inference(resolution,[status(thm)],[f267,f79])).
% 1.81/0.62 fof(f274,plain,(
% 1.81/0.62 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~m1_subset_1(X1,u1_struct_0(sk0_0))|~X0=sk0_1|~X1=sk0_2|~r2_hidden(sk0_3,k1_altcat_1(sk0_0,X0,X1)))),
% 1.81/0.62 inference(backward_subsumption_resolution,[status(thm)],[f80,f260])).
% 1.81/0.62 fof(f275,plain,(
% 1.81/0.62 m1_subset_1(sk0_3,k1_binop_1(u1_altcat_1(sk0_0),sk0_1,sk0_2))),
% 1.81/0.62 inference(resolution,[status(thm)],[f260,f79])).
% 1.81/0.62 fof(f286,plain,(
% 1.81/0.62 m1_pboole(u1_altcat_1(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)))),
% 1.81/0.62 inference(resolution,[status(thm)],[f154,f271])).
% 1.81/0.62 fof(f379,plain,(
% 1.81/0.62 v1_relat_1(u1_altcat_1(sk0_0))),
% 1.81/0.62 inference(resolution,[status(thm)],[f151,f286])).
% 1.81/0.62 fof(f396,plain,(
% 1.81/0.62 spl0_19 <=> v1_funct_1(u1_altcat_1(sk0_0))),
% 1.81/0.62 introduced(split_symbol_definition)).
% 1.81/0.62 fof(f398,plain,(
% 1.81/0.62 ~v1_funct_1(u1_altcat_1(sk0_0))|spl0_19),
% 1.81/0.62 inference(component_clause,[status(thm)],[f396])).
% 1.81/0.62 fof(f399,plain,(
% 1.81/0.62 spl0_20 <=> k1_binop_1(u1_altcat_1(sk0_0),X0,X1)=k1_funct_1(u1_altcat_1(sk0_0),k4_tarski(X0,X1))),
% 1.81/0.62 introduced(split_symbol_definition)).
% 1.81/0.62 fof(f400,plain,(
% 1.81/0.62 ![X0,X1]: (k1_binop_1(u1_altcat_1(sk0_0),X0,X1)=k1_funct_1(u1_altcat_1(sk0_0),k4_tarski(X0,X1))|~spl0_20)),
% 1.81/0.62 inference(component_clause,[status(thm)],[f399])).
% 1.81/0.62 fof(f402,plain,(
% 1.81/0.62 ![X0,X1]: (~v1_funct_1(u1_altcat_1(sk0_0))|k1_binop_1(u1_altcat_1(sk0_0),X0,X1)=k1_funct_1(u1_altcat_1(sk0_0),k4_tarski(X0,X1)))),
% 1.81/0.62 inference(resolution,[status(thm)],[f379,f129])).
% 1.81/0.62 fof(f403,plain,(
% 1.81/0.62 ~spl0_19|spl0_20),
% 1.81/0.62 inference(split_clause,[status(thm)],[f402,f396,f399])).
% 1.81/0.62 fof(f410,plain,(
% 1.81/0.62 v1_funct_1(u1_altcat_1(sk0_0))),
% 1.81/0.62 inference(resolution,[status(thm)],[f152,f286])).
% 1.81/0.62 fof(f411,plain,(
% 1.81/0.62 $false|spl0_19),
% 1.81/0.62 inference(forward_subsumption_resolution,[status(thm)],[f410,f398])).
% 1.81/0.62 fof(f412,plain,(
% 1.81/0.62 spl0_19),
% 1.81/0.62 inference(contradiction_clause,[status(thm)],[f411])).
% 1.81/0.62 fof(f417,plain,(
% 1.81/0.62 ![X0,X1]: (~v1_funct_1(X0)|~m1_pboole(X0,X1)|k1_relat_1(X0)=X1)),
% 1.81/0.62 inference(forward_subsumption_resolution,[status(thm)],[f135,f151])).
% 1.81/0.62 fof(f428,plain,(
% 1.81/0.62 spl0_23 <=> k1_relat_1(u1_altcat_1(sk0_0))=k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0))),
% 1.81/0.62 introduced(split_symbol_definition)).
% 1.81/0.62 fof(f429,plain,(
% 1.81/0.62 k1_relat_1(u1_altcat_1(sk0_0))=k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0))|~spl0_23),
% 1.81/0.62 inference(component_clause,[status(thm)],[f428])).
% 1.81/0.62 fof(f431,plain,(
% 1.81/0.62 ~v1_funct_1(u1_altcat_1(sk0_0))|k1_relat_1(u1_altcat_1(sk0_0))=k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0))),
% 1.81/0.62 inference(resolution,[status(thm)],[f417,f286])).
% 1.81/0.62 fof(f432,plain,(
% 1.81/0.62 ~spl0_19|spl0_23),
% 1.81/0.62 inference(split_clause,[status(thm)],[f431,f396,f428])).
% 1.81/0.62 fof(f658,plain,(
% 1.81/0.62 spl0_46 <=> v1_xboole_0(k1_xboole_0)),
% 1.81/0.62 introduced(split_symbol_definition)).
% 1.81/0.62 fof(f660,plain,(
% 1.81/0.62 ~v1_xboole_0(k1_xboole_0)|spl0_46),
% 1.81/0.62 inference(component_clause,[status(thm)],[f658])).
% 1.81/0.62 fof(f682,plain,(
% 1.81/0.62 $false|spl0_46),
% 1.81/0.62 inference(forward_subsumption_resolution,[status(thm)],[f660,f212])).
% 1.81/0.62 fof(f683,plain,(
% 1.81/0.62 spl0_46),
% 1.81/0.62 inference(contradiction_clause,[status(thm)],[f682])).
% 1.81/0.62 fof(f686,plain,(
% 1.81/0.62 spl0_52 <=> r2_hidden(X0,k1_relat_1(u1_altcat_1(sk0_0)))|~X1=k1_funct_1(u1_altcat_1(sk0_0),X0)|X1=k1_xboole_0),
% 1.81/0.62 introduced(split_symbol_definition)).
% 1.81/0.62 fof(f687,plain,(
% 1.81/0.62 ![X0,X1]: (r2_hidden(X0,k1_relat_1(u1_altcat_1(sk0_0)))|~X1=k1_funct_1(u1_altcat_1(sk0_0),X0)|X1=k1_xboole_0|~spl0_52)),
% 1.81/0.62 inference(component_clause,[status(thm)],[f686])).
% 1.81/0.62 fof(f689,plain,(
% 1.81/0.62 ![X0,X1]: (~v1_funct_1(u1_altcat_1(sk0_0))|r2_hidden(X0,k1_relat_1(u1_altcat_1(sk0_0)))|~X1=k1_funct_1(u1_altcat_1(sk0_0),X0)|X1=k1_xboole_0)),
% 1.81/0.62 inference(resolution,[status(thm)],[f142,f379])).
% 1.81/0.62 fof(f690,plain,(
% 1.81/0.62 ~spl0_19|spl0_52),
% 1.81/0.62 inference(split_clause,[status(thm)],[f689,f396,f686])).
% 1.81/0.62 fof(f748,plain,(
% 1.81/0.62 ![X0,X1]: (r2_hidden(k4_tarski(X0,X1),k1_relat_1(u1_altcat_1(sk0_0)))|k1_binop_1(u1_altcat_1(sk0_0),X0,X1)=k1_xboole_0|~spl0_52|~spl0_20)),
% 1.81/0.62 inference(resolution,[status(thm)],[f687,f400])).
% 1.81/0.62 fof(f750,plain,(
% 1.81/0.62 ![X0]: (r2_hidden(X0,k1_relat_1(u1_altcat_1(sk0_0)))|k1_funct_1(u1_altcat_1(sk0_0),X0)=k1_xboole_0|~spl0_52)),
% 1.81/0.62 inference(equality_resolution,[status(esa)],[f687])).
% 1.81/0.62 fof(f2521,plain,(
% 1.81/0.62 ![X0,X1]: (~r2_hidden(k4_tarski(X0,X1),k1_relat_1(u1_altcat_1(sk0_0)))|r2_hidden(X0,u1_struct_0(sk0_0))|~spl0_23)),
% 1.81/0.62 inference(paramodulation,[status(thm)],[f429,f256])).
% 1.81/0.62 fof(f2524,plain,(
% 1.81/0.62 ![X0,X1]: (~r2_hidden(k4_tarski(X0,X1),k1_relat_1(u1_altcat_1(sk0_0)))|r2_hidden(X1,u1_struct_0(sk0_0))|~spl0_23)),
% 1.81/0.62 inference(paramodulation,[status(thm)],[f429,f257])).
% 1.81/0.62 fof(f2589,plain,(
% 1.81/0.62 ![X0,X1]: (r2_hidden(X0,u1_struct_0(sk0_0))|k1_binop_1(u1_altcat_1(sk0_0),X0,X1)=k1_xboole_0|~spl0_23|~spl0_52|~spl0_20)),
% 1.81/0.62 inference(resolution,[status(thm)],[f2521,f748])).
% 1.81/0.62 fof(f2612,plain,(
% 1.81/0.62 ![X0,X1]: (k1_binop_1(u1_altcat_1(sk0_0),X0,X1)=k1_xboole_0|m1_subset_1(X0,u1_struct_0(sk0_0))|~spl0_23|~spl0_52|~spl0_20)),
% 1.81/0.62 inference(resolution,[status(thm)],[f2589,f260])).
% 1.81/0.62 fof(f2622,plain,(
% 1.81/0.62 spl0_264 <=> l1_altcat_1(sk0_0)),
% 1.81/0.62 introduced(split_symbol_definition)).
% 1.81/0.62 fof(f2624,plain,(
% 1.81/0.62 ~l1_altcat_1(sk0_0)|spl0_264),
% 1.81/0.62 inference(component_clause,[status(thm)],[f2622])).
% 1.81/0.62 fof(f2627,plain,(
% 1.81/0.62 spl0_265 <=> k1_binop_1(u1_altcat_1(sk0_0),X0,X1)=k1_xboole_0|~m1_subset_1(X2,u1_struct_0(sk0_0))|k1_altcat_1(sk0_0,X0,X2)=k1_binop_1(u1_altcat_1(sk0_0),X0,X2)),
% 1.81/0.62 introduced(split_symbol_definition)).
% 1.81/0.62 fof(f2628,plain,(
% 1.81/0.62 ![X0,X1,X2]: (k1_binop_1(u1_altcat_1(sk0_0),X0,X1)=k1_xboole_0|~m1_subset_1(X2,u1_struct_0(sk0_0))|k1_altcat_1(sk0_0,X0,X2)=k1_binop_1(u1_altcat_1(sk0_0),X0,X2)|~spl0_265)),
% 1.81/0.62 inference(component_clause,[status(thm)],[f2627])).
% 1.81/0.62 fof(f2630,plain,(
% 1.81/0.62 ![X0,X1,X2]: (k1_binop_1(u1_altcat_1(sk0_0),X0,X1)=k1_xboole_0|~l1_altcat_1(sk0_0)|~m1_subset_1(X2,u1_struct_0(sk0_0))|k1_altcat_1(sk0_0,X0,X2)=k1_binop_1(u1_altcat_1(sk0_0),X0,X2)|~spl0_23|~spl0_52|~spl0_20)),
% 1.81/0.62 inference(resolution,[status(thm)],[f2612,f131])).
% 1.81/0.62 fof(f2631,plain,(
% 1.81/0.62 spl0_265|~spl0_264|~spl0_23|~spl0_52|~spl0_20),
% 1.81/0.62 inference(split_clause,[status(thm)],[f2630,f2627,f2622,f428,f686,f399])).
% 1.81/0.62 fof(f2705,plain,(
% 1.81/0.62 $false|spl0_264),
% 1.81/0.62 inference(forward_subsumption_resolution,[status(thm)],[f2624,f271])).
% 1.81/0.62 fof(f2706,plain,(
% 1.81/0.62 spl0_264),
% 1.81/0.62 inference(contradiction_clause,[status(thm)],[f2705])).
% 1.81/0.62 fof(f2805,plain,(
% 1.81/0.62 ![X0,X1]: (r2_hidden(X0,u1_struct_0(sk0_0))|k1_funct_1(u1_altcat_1(sk0_0),k4_tarski(X1,X0))=k1_xboole_0|~spl0_23|~spl0_52)),
% 1.81/0.62 inference(resolution,[status(thm)],[f2524,f750])).
% 1.81/0.62 fof(f2806,plain,(
% 1.81/0.62 ![X0,X1]: (r2_hidden(X0,u1_struct_0(sk0_0))|k1_binop_1(u1_altcat_1(sk0_0),X1,X0)=k1_xboole_0|~spl0_20|~spl0_23|~spl0_52)),
% 1.81/0.62 inference(forward_demodulation,[status(thm)],[f400,f2805])).
% 1.81/0.62 fof(f2823,plain,(
% 1.81/0.62 ![X0,X1]: (k1_binop_1(u1_altcat_1(sk0_0),X0,X1)=k1_xboole_0|m1_subset_1(X1,u1_struct_0(sk0_0))|~spl0_20|~spl0_23|~spl0_52)),
% 1.81/0.62 inference(resolution,[status(thm)],[f2806,f260])).
% 1.81/0.62 fof(f2908,plain,(
% 1.81/0.62 ![X0,X1,X2,X3]: (k1_binop_1(u1_altcat_1(sk0_0),X0,X1)=k1_xboole_0|k1_altcat_1(sk0_0,X0,X2)=k1_binop_1(u1_altcat_1(sk0_0),X0,X2)|k1_binop_1(u1_altcat_1(sk0_0),X3,X2)=k1_xboole_0|~spl0_265|~spl0_20|~spl0_23|~spl0_52)),
% 1.81/0.62 inference(resolution,[status(thm)],[f2628,f2823])).
% 1.81/0.62 fof(f2980,plain,(
% 1.81/0.62 spl0_301 <=> v1_xboole_0(k1_altcat_1(sk0_0,sk0_1,sk0_2))),
% 1.81/0.62 introduced(split_symbol_definition)).
% 1.81/0.62 fof(f2983,plain,(
% 1.81/0.62 spl0_302 <=> k1_binop_1(u1_altcat_1(sk0_0),sk0_1,X0)=k1_xboole_0),
% 1.81/0.62 introduced(split_symbol_definition)).
% 1.81/0.62 fof(f2984,plain,(
% 1.81/0.62 ![X0]: (k1_binop_1(u1_altcat_1(sk0_0),sk0_1,X0)=k1_xboole_0|~spl0_302)),
% 1.81/0.62 inference(component_clause,[status(thm)],[f2983])).
% 1.81/0.62 fof(f2986,plain,(
% 1.81/0.62 spl0_303 <=> k1_binop_1(u1_altcat_1(sk0_0),X1,sk0_2)=k1_xboole_0),
% 1.81/0.62 introduced(split_symbol_definition)).
% 1.81/0.62 fof(f2987,plain,(
% 1.81/0.62 ![X0]: (k1_binop_1(u1_altcat_1(sk0_0),X0,sk0_2)=k1_xboole_0|~spl0_303)),
% 1.81/0.62 inference(component_clause,[status(thm)],[f2986])).
% 1.81/0.62 fof(f2989,plain,(
% 1.81/0.62 ![X0,X1]: (~v1_xboole_0(k1_altcat_1(sk0_0,sk0_1,sk0_2))|k1_binop_1(u1_altcat_1(sk0_0),sk0_1,X0)=k1_xboole_0|k1_binop_1(u1_altcat_1(sk0_0),X1,sk0_2)=k1_xboole_0|~spl0_265|~spl0_20|~spl0_23|~spl0_52)),
% 1.81/0.62 inference(paramodulation,[status(thm)],[f2908,f272])).
% 1.81/0.62 fof(f2990,plain,(
% 1.81/0.62 ~spl0_301|spl0_302|spl0_303|~spl0_265|~spl0_20|~spl0_23|~spl0_52),
% 1.81/0.62 inference(split_clause,[status(thm)],[f2989,f2980,f2983,f2986,f2627,f399,f428,f686])).
% 1.81/0.62 fof(f2991,plain,(
% 1.81/0.62 spl0_304 <=> m1_subset_1(sk0_3,k1_altcat_1(sk0_0,sk0_1,sk0_2))),
% 1.81/0.62 introduced(split_symbol_definition)).
% 1.81/0.62 fof(f2992,plain,(
% 1.81/0.62 m1_subset_1(sk0_3,k1_altcat_1(sk0_0,sk0_1,sk0_2))|~spl0_304),
% 1.81/0.62 inference(component_clause,[status(thm)],[f2991])).
% 1.81/0.62 fof(f2994,plain,(
% 1.81/0.62 ![X0,X1]: (m1_subset_1(sk0_3,k1_altcat_1(sk0_0,sk0_1,sk0_2))|k1_binop_1(u1_altcat_1(sk0_0),sk0_1,X0)=k1_xboole_0|k1_binop_1(u1_altcat_1(sk0_0),X1,sk0_2)=k1_xboole_0|~spl0_265|~spl0_20|~spl0_23|~spl0_52)),
% 1.81/0.62 inference(paramodulation,[status(thm)],[f2908,f275])).
% 1.81/0.62 fof(f2995,plain,(
% 1.81/0.62 spl0_304|spl0_302|spl0_303|~spl0_265|~spl0_20|~spl0_23|~spl0_52),
% 1.81/0.62 inference(split_clause,[status(thm)],[f2994,f2991,f2983,f2986,f2627,f399,f428,f686])).
% 1.81/0.62 fof(f3001,plain,(
% 1.81/0.62 spl0_306 <=> r2_hidden(sk0_3,k1_altcat_1(sk0_0,sk0_1,sk0_2))),
% 1.81/0.62 introduced(split_symbol_definition)).
% 1.81/0.62 fof(f3002,plain,(
% 1.81/0.62 r2_hidden(sk0_3,k1_altcat_1(sk0_0,sk0_1,sk0_2))|~spl0_306),
% 1.81/0.62 inference(component_clause,[status(thm)],[f3001])).
% 1.81/0.62 fof(f3034,plain,(
% 1.81/0.62 ~v1_xboole_0(k1_xboole_0)|~spl0_303),
% 1.81/0.62 inference(backward_demodulation,[status(thm)],[f2987,f272])).
% 1.81/0.62 fof(f3035,plain,(
% 1.81/0.62 ~spl0_46|~spl0_303),
% 1.81/0.62 inference(split_clause,[status(thm)],[f3034,f658,f2986])).
% 1.81/0.62 fof(f3136,plain,(
% 1.81/0.62 r2_hidden(sk0_3,k1_xboole_0)|~spl0_302),
% 1.81/0.62 inference(forward_demodulation,[status(thm)],[f2984,f79])).
% 1.81/0.62 fof(f3141,plain,(
% 1.81/0.62 ~v1_xboole_0(k1_xboole_0)|~spl0_302),
% 1.81/0.62 inference(resolution,[status(thm)],[f3136,f267])).
% 1.81/0.62 fof(f3142,plain,(
% 1.81/0.62 ~spl0_46|~spl0_302),
% 1.81/0.62 inference(split_clause,[status(thm)],[f3141,f658,f2983])).
% 1.81/0.62 fof(f3217,plain,(
% 1.81/0.62 v1_xboole_0(k1_altcat_1(sk0_0,sk0_1,sk0_2))|r2_hidden(sk0_3,k1_altcat_1(sk0_0,sk0_1,sk0_2))|~spl0_304),
% 1.81/0.62 inference(resolution,[status(thm)],[f2992,f262])).
% 1.81/0.62 fof(f3218,plain,(
% 1.81/0.62 spl0_301|spl0_306|~spl0_304),
% 1.81/0.62 inference(split_clause,[status(thm)],[f3217,f2980,f3001,f2991])).
% 1.81/0.62 fof(f3219,plain,(
% 1.81/0.62 spl0_323 <=> m1_subset_1(sk0_1,u1_struct_0(sk0_0))),
% 1.81/0.62 introduced(split_symbol_definition)).
% 1.81/0.62 fof(f3221,plain,(
% 1.81/0.62 ~m1_subset_1(sk0_1,u1_struct_0(sk0_0))|spl0_323),
% 1.81/0.62 inference(component_clause,[status(thm)],[f3219])).
% 1.81/0.62 fof(f3222,plain,(
% 1.81/0.62 spl0_324 <=> m1_subset_1(sk0_2,u1_struct_0(sk0_0))),
% 1.81/0.62 introduced(split_symbol_definition)).
% 1.81/0.62 fof(f3224,plain,(
% 1.81/0.63 ~m1_subset_1(sk0_2,u1_struct_0(sk0_0))|spl0_324),
% 1.81/0.63 inference(component_clause,[status(thm)],[f3222])).
% 1.81/0.63 fof(f3225,plain,(
% 1.81/0.63 spl0_325 <=> sk0_1=sk0_1),
% 1.81/0.63 introduced(split_symbol_definition)).
% 1.81/0.63 fof(f3227,plain,(
% 1.81/0.63 ~sk0_1=sk0_1|spl0_325),
% 1.81/0.63 inference(component_clause,[status(thm)],[f3225])).
% 1.81/0.63 fof(f3228,plain,(
% 1.81/0.63 spl0_326 <=> sk0_2=sk0_2),
% 1.81/0.63 introduced(split_symbol_definition)).
% 1.81/0.63 fof(f3230,plain,(
% 1.81/0.63 ~sk0_2=sk0_2|spl0_326),
% 1.81/0.63 inference(component_clause,[status(thm)],[f3228])).
% 1.81/0.63 fof(f3231,plain,(
% 1.81/0.63 ~m1_subset_1(sk0_1,u1_struct_0(sk0_0))|~m1_subset_1(sk0_2,u1_struct_0(sk0_0))|~sk0_1=sk0_1|~sk0_2=sk0_2|~spl0_306),
% 1.81/0.63 inference(resolution,[status(thm)],[f3002,f274])).
% 1.81/0.63 fof(f3232,plain,(
% 1.81/0.63 ~spl0_323|~spl0_324|~spl0_325|~spl0_326|~spl0_306),
% 1.81/0.63 inference(split_clause,[status(thm)],[f3231,f3219,f3222,f3225,f3228,f3001])).
% 1.81/0.63 fof(f3236,plain,(
% 1.81/0.63 $false|spl0_326),
% 1.81/0.63 inference(trivial_equality_resolution,[status(esa)],[f3230])).
% 1.81/0.63 fof(f3237,plain,(
% 1.81/0.63 spl0_326),
% 1.81/0.63 inference(contradiction_clause,[status(thm)],[f3236])).
% 1.81/0.63 fof(f3238,plain,(
% 1.81/0.63 $false|spl0_325),
% 1.81/0.63 inference(trivial_equality_resolution,[status(esa)],[f3227])).
% 1.81/0.63 fof(f3239,plain,(
% 1.81/0.63 spl0_325),
% 1.81/0.63 inference(contradiction_clause,[status(thm)],[f3238])).
% 1.81/0.63 fof(f3240,plain,(
% 1.81/0.63 ![X0]: (k1_binop_1(u1_altcat_1(sk0_0),X0,sk0_2)=k1_xboole_0|spl0_324|~spl0_20|~spl0_23|~spl0_52)),
% 1.81/0.63 inference(resolution,[status(thm)],[f3224,f2823])).
% 1.81/0.63 fof(f3241,plain,(
% 1.81/0.63 spl0_303|spl0_324|~spl0_20|~spl0_23|~spl0_52),
% 1.81/0.63 inference(split_clause,[status(thm)],[f3240,f2986,f3222,f399,f428,f686])).
% 1.81/0.63 fof(f3244,plain,(
% 1.81/0.63 ![X0]: (k1_binop_1(u1_altcat_1(sk0_0),sk0_1,X0)=k1_xboole_0|spl0_323|~spl0_23|~spl0_52|~spl0_20)),
% 1.81/0.63 inference(resolution,[status(thm)],[f3221,f2612])).
% 1.81/0.63 fof(f3245,plain,(
% 1.81/0.63 spl0_302|spl0_323|~spl0_23|~spl0_52|~spl0_20),
% 1.81/0.63 inference(split_clause,[status(thm)],[f3244,f2983,f3219,f428,f686,f399])).
% 1.81/0.63 fof(f3246,plain,(
% 1.81/0.63 $false),
% 1.81/0.63 inference(sat_refutation,[status(thm)],[f403,f412,f432,f683,f690,f2631,f2706,f2990,f2995,f3035,f3142,f3218,f3232,f3237,f3239,f3241,f3245])).
% 1.81/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 1.87/0.64 % Elapsed time: 0.299946 seconds
% 1.87/0.64 % CPU time: 1.897746 seconds
% 1.87/0.64 % Memory used: 81.332 MB
%------------------------------------------------------------------------------