TSTP Solution File: TOP042+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : TOP042+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:55:16 EDT 2024
% Result : Theorem 36.97s 5.04s
% Output : CNFRefutation 37.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : TOP042+1 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33 % Computer : n014.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Mon Apr 29 22:04:04 EDT 2024
% 0.09/0.33 % CPUTime :
% 0.09/0.35 % Drodi V3.6.0
% 36.97/5.04 % Refutation found
% 36.97/5.04 % SZS status Theorem for theBenchmark: Theorem is valid
% 36.97/5.04 % SZS output start CNFRefutation for theBenchmark
% 36.97/5.04 fof(f1,conjecture,(
% 36.97/5.04 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v2_tsp_2(B,A)& m2_tsp_1(B,A) )=> (! [C] :( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))=> ( v4_pre_topc(C,A)=> v4_pre_topc(k4_pre_topc(A,B,k4_tsp_2(A,B),C),B) ) ) )) )) )),
% 36.97/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.97/5.04 fof(f2,negated_conjecture,(
% 36.97/5.04 ~((! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v2_tsp_2(B,A)& m2_tsp_1(B,A) )=> (! [C] :( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))=> ( v4_pre_topc(C,A)=> v4_pre_topc(k4_pre_topc(A,B,k4_tsp_2(A,B),C),B) ) ) )) )) ))),
% 36.97/5.04 inference(negated_conjecture,[status(cth)],[f1])).
% 36.97/5.04 fof(f50,axiom,(
% 36.97/5.04 (! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A) )),
% 36.97/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.97/5.04 fof(f52,axiom,(
% 36.97/5.04 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v2_tsp_2(B,A)& m2_tsp_1(B,A) )=> (! [C] :( ( v1_funct_1(C)& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))& v5_pre_topc(C,A,B)& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )=> ( C = k4_tsp_2(A,B)<=> (! [D] :( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))=> ( D = u1_struct_0(B)=> (! [E] :( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))=> k5_subset_1(u1_struct_0(A),D,k3_tex_4(A,E)) = k4_pre_topc(A,B,C,E) ) )) ) )) ) )) )) )),
% 36.97/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.97/5.04 fof(f53,axiom,(
% 36.97/5.04 (! [A] :( l1_pre_topc(A)=> (! [B] :( l1_pre_topc(B)=> ( m2_tsp_1(B,A)<=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A))& (! [C] :( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))=> ( v4_pre_topc(C,B)<=> (? [D] :( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))& v4_pre_topc(D,A)& C = k3_xboole_0(D,u1_struct_0(B)) ) )) ) )) ) ) )) )),
% 36.97/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.97/5.04 fof(f54,axiom,(
% 36.97/5.04 (! [A,B] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A)& ~ v3_struct_0(B)& v2_tsp_2(B,A)& m1_pre_topc(B,A) )=> ( v1_funct_1(k1_tsp_2(A,B))& v1_funct_2(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B))& v5_pre_topc(k1_tsp_2(A,B),A,B)& m2_relset_1(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) ) ) )),
% 36.97/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.97/5.04 fof(f60,axiom,(
% 36.97/5.04 (! [A,B,C,D] :( ( l1_struct_0(A)& l1_struct_0(B)& v1_funct_1(C)& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )=> m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ) )),
% 36.97/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.97/5.04 fof(f64,axiom,(
% 36.97/5.04 (! [A] :( l1_pre_topc(A)=> l1_struct_0(A) ) )),
% 36.97/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.97/5.04 fof(f70,axiom,(
% 36.97/5.04 (! [A] :( l1_pre_topc(A)=> (! [B] :( m2_tsp_1(B,A)=> l1_pre_topc(B) ) )) )),
% 36.97/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.97/5.04 fof(f108,axiom,(
% 36.97/5.04 (! [A,B] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A)& ~ v3_struct_0(B)& v2_tsp_2(B,A)& m1_pre_topc(B,A) )=> k4_tsp_2(A,B) = k1_tsp_2(A,B) ) )),
% 36.97/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.97/5.04 fof(f109,axiom,(
% 36.97/5.04 (! [A,B,C] :( ( m1_subset_1(B,k1_zfmisc_1(A))& m1_subset_1(C,k1_zfmisc_1(A)) )=> k5_subset_1(A,B,C) = k3_xboole_0(B,C) ) )),
% 36.97/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.97/5.04 fof(f110,axiom,(
% 36.97/5.04 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 36.97/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.97/5.04 fof(f111,axiom,(
% 36.97/5.04 (! [A] :( l1_pre_topc(A)=> (! [B] :( m2_tsp_1(B,A)<=> m1_pre_topc(B,A) ) )) )),
% 36.97/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.97/5.04 fof(f114,axiom,(
% 36.97/5.04 (! [A] :( l1_pre_topc(A)=> (! [B] :( m1_pre_topc(B,A)=> m1_subset_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(A))) ) )) )),
% 36.97/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.97/5.04 fof(f120,axiom,(
% 36.97/5.04 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> (! [B] :( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))=> ( v4_pre_topc(B,A)=> k3_tex_4(A,B) = B ) ) )) )),
% 36.97/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.97/5.06 fof(f124,plain,(
% 36.97/5.06 (?[A]: (((~v3_struct_0(A)&v2_pre_topc(A))&l1_pre_topc(A))&(?[B]: (((~v3_struct_0(B)&v2_tsp_2(B,A))&m2_tsp_1(B,A))&(?[C]: (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))&(v4_pre_topc(C,A)&~v4_pre_topc(k4_pre_topc(A,B,k4_tsp_2(A,B),C),B))))))))),
% 36.97/5.06 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 36.97/5.06 fof(f125,plain,(
% 36.97/5.06 (((~v3_struct_0(sk0_0)&v2_pre_topc(sk0_0))&l1_pre_topc(sk0_0))&(((~v3_struct_0(sk0_1)&v2_tsp_2(sk0_1,sk0_0))&m2_tsp_1(sk0_1,sk0_0))&(m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))&(v4_pre_topc(sk0_2,sk0_0)&~v4_pre_topc(k4_pre_topc(sk0_0,sk0_1,k4_tsp_2(sk0_0,sk0_1),sk0_2),sk0_1)))))),
% 36.97/5.06 inference(skolemization,[status(esa)],[f124])).
% 36.97/5.06 fof(f126,plain,(
% 36.97/5.06 ~v3_struct_0(sk0_0)),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f125])).
% 36.97/5.06 fof(f127,plain,(
% 36.97/5.06 v2_pre_topc(sk0_0)),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f125])).
% 36.97/5.06 fof(f128,plain,(
% 36.97/5.06 l1_pre_topc(sk0_0)),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f125])).
% 36.97/5.06 fof(f129,plain,(
% 36.97/5.06 ~v3_struct_0(sk0_1)),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f125])).
% 36.97/5.06 fof(f130,plain,(
% 36.97/5.06 v2_tsp_2(sk0_1,sk0_0)),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f125])).
% 36.97/5.06 fof(f131,plain,(
% 36.97/5.06 m2_tsp_1(sk0_1,sk0_0)),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f125])).
% 36.97/5.06 fof(f132,plain,(
% 36.97/5.06 m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f125])).
% 36.97/5.06 fof(f133,plain,(
% 36.97/5.06 v4_pre_topc(sk0_2,sk0_0)),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f125])).
% 36.97/5.06 fof(f134,plain,(
% 36.97/5.06 ~v4_pre_topc(k4_pre_topc(sk0_0,sk0_1,k4_tsp_2(sk0_0,sk0_1),sk0_2),sk0_1)),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f125])).
% 36.97/5.06 fof(f315,plain,(
% 36.97/5.06 ![X0,X1]: (k3_xboole_0(X0,X1)=k3_xboole_0(X1,X0))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f50])).
% 36.97/5.06 fof(f318,plain,(
% 36.97/5.06 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|(![B]: (((v3_struct_0(B)|~v2_tsp_2(B,A))|~m2_tsp_1(B,A))|(![C]: ((((~v1_funct_1(C)|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~v5_pre_topc(C,A,B))|~m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|(C=k4_tsp_2(A,B)<=>(![D]: (~m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))|(~D=u1_struct_0(B)|(![E]: (~m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))|k5_subset_1(u1_struct_0(A),D,k3_tex_4(A,E))=k4_pre_topc(A,B,C,E))))))))))))),
% 36.97/5.06 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 36.97/5.06 fof(f319,plain,(
% 36.97/5.06 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|(![B]: (((v3_struct_0(B)|~v2_tsp_2(B,A))|~m2_tsp_1(B,A))|(![C]: ((((~v1_funct_1(C)|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~v5_pre_topc(C,A,B))|~m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|((~C=k4_tsp_2(A,B)|(![D]: (~m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))|(~D=u1_struct_0(B)|(![E]: (~m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))|k5_subset_1(u1_struct_0(A),D,k3_tex_4(A,E))=k4_pre_topc(A,B,C,E)))))))&(C=k4_tsp_2(A,B)|(?[D]: (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))&(D=u1_struct_0(B)&(?[E]: (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))&~k5_subset_1(u1_struct_0(A),D,k3_tex_4(A,E))=k4_pre_topc(A,B,C,E)))))))))))))),
% 36.97/5.06 inference(NNF_transformation,[status(esa)],[f318])).
% 36.97/5.06 fof(f320,plain,(
% 36.97/5.06 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|(![B]: (((v3_struct_0(B)|~v2_tsp_2(B,A))|~m2_tsp_1(B,A))|(![C]: ((((~v1_funct_1(C)|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~v5_pre_topc(C,A,B))|~m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|((~C=k4_tsp_2(A,B)|(![D]: (~m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))|(~D=u1_struct_0(B)|(![E]: (~m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))|k5_subset_1(u1_struct_0(A),D,k3_tex_4(A,E))=k4_pre_topc(A,B,C,E)))))))&(C=k4_tsp_2(A,B)|(m1_subset_1(sk0_3(C,B,A),k1_zfmisc_1(u1_struct_0(A)))&(sk0_3(C,B,A)=u1_struct_0(B)&(m1_subset_1(sk0_4(C,B,A),k1_zfmisc_1(u1_struct_0(A)))&~k5_subset_1(u1_struct_0(A),sk0_3(C,B,A),k3_tex_4(A,sk0_4(C,B,A)))=k4_pre_topc(A,B,C,sk0_4(C,B,A))))))))))))),
% 36.97/5.06 inference(skolemization,[status(esa)],[f319])).
% 36.97/5.06 fof(f321,plain,(
% 36.97/5.06 ![X0,X1,X2,X3,X4]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|v3_struct_0(X1)|~v2_tsp_2(X1,X0)|~m2_tsp_1(X1,X0)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))|~v5_pre_topc(X2,X0,X1)|~m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))|~X2=k4_tsp_2(X0,X1)|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))|~X3=u1_struct_0(X1)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))|k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4))=k4_pre_topc(X0,X1,X2,X4))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f320])).
% 36.97/5.06 fof(f326,plain,(
% 36.97/5.06 ![A]: (~l1_pre_topc(A)|(![B]: (~l1_pre_topc(B)|(m2_tsp_1(B,A)<=>(r1_tarski(u1_struct_0(B),u1_struct_0(A))&(![C]: (~m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|(v4_pre_topc(C,B)<=>(?[D]: ((m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))&v4_pre_topc(D,A))&C=k3_xboole_0(D,u1_struct_0(B))))))))))))),
% 36.97/5.06 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 36.97/5.06 fof(f327,plain,(
% 36.97/5.06 ![A,B,C,D]: (pd0_0(D,C,B,A)<=>((m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))&v4_pre_topc(D,A))&C=k3_xboole_0(D,u1_struct_0(B))))),
% 36.97/5.06 introduced(predicate_definition,[f326])).
% 36.97/5.06 fof(f328,plain,(
% 36.97/5.06 ![A]: (~l1_pre_topc(A)|(![B]: (~l1_pre_topc(B)|(m2_tsp_1(B,A)<=>(r1_tarski(u1_struct_0(B),u1_struct_0(A))&(![C]: (~m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|(v4_pre_topc(C,B)<=>(?[D]: pd0_0(D,C,B,A))))))))))),
% 36.97/5.06 inference(formula_renaming,[status(thm)],[f326,f327])).
% 36.97/5.06 fof(f329,plain,(
% 36.97/5.06 ![A]: (~l1_pre_topc(A)|(![B]: (~l1_pre_topc(B)|((~m2_tsp_1(B,A)|(r1_tarski(u1_struct_0(B),u1_struct_0(A))&(![C]: (~m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|((~v4_pre_topc(C,B)|(?[D]: pd0_0(D,C,B,A)))&(v4_pre_topc(C,B)|(![D]: ~pd0_0(D,C,B,A))))))))&(m2_tsp_1(B,A)|(~r1_tarski(u1_struct_0(B),u1_struct_0(A))|(?[C]: (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))&((~v4_pre_topc(C,B)|(![D]: ~pd0_0(D,C,B,A)))&(v4_pre_topc(C,B)|(?[D]: pd0_0(D,C,B,A))))))))))))),
% 36.97/5.06 inference(NNF_transformation,[status(esa)],[f328])).
% 36.97/5.06 fof(f330,plain,(
% 36.97/5.06 ![A]: (~l1_pre_topc(A)|(![B]: (~l1_pre_topc(B)|((~m2_tsp_1(B,A)|(r1_tarski(u1_struct_0(B),u1_struct_0(A))&(![C]: (~m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|((~v4_pre_topc(C,B)|pd0_0(sk0_5(C,B,A),C,B,A))&(v4_pre_topc(C,B)|(![D]: ~pd0_0(D,C,B,A))))))))&(m2_tsp_1(B,A)|(~r1_tarski(u1_struct_0(B),u1_struct_0(A))|(m1_subset_1(sk0_6(B,A),k1_zfmisc_1(u1_struct_0(B)))&((~v4_pre_topc(sk0_6(B,A),B)|(![D]: ~pd0_0(D,sk0_6(B,A),B,A)))&(v4_pre_topc(sk0_6(B,A),B)|pd0_0(sk0_7(B,A),sk0_6(B,A),B,A))))))))))),
% 36.97/5.06 inference(skolemization,[status(esa)],[f329])).
% 36.97/5.06 fof(f333,plain,(
% 36.97/5.06 ![X0,X1,X2,X3]: (~l1_pre_topc(X0)|~l1_pre_topc(X1)|~m2_tsp_1(X1,X0)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|v4_pre_topc(X2,X1)|~pd0_0(X3,X2,X1,X0))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f330])).
% 36.97/5.06 fof(f337,plain,(
% 36.97/5.06 ![A,B]: ((((((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|v3_struct_0(B))|~v2_tsp_2(B,A))|~m1_pre_topc(B,A))|(((v1_funct_1(k1_tsp_2(A,B))&v1_funct_2(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)))&v5_pre_topc(k1_tsp_2(A,B),A,B))&m2_relset_1(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B))))),
% 36.97/5.06 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 36.97/5.06 fof(f338,plain,(
% 36.97/5.06 ![X0,X1]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|v3_struct_0(X1)|~v2_tsp_2(X1,X0)|~m1_pre_topc(X1,X0)|v1_funct_1(k1_tsp_2(X0,X1)))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f337])).
% 36.97/5.06 fof(f339,plain,(
% 36.97/5.06 ![X0,X1]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|v3_struct_0(X1)|~v2_tsp_2(X1,X0)|~m1_pre_topc(X1,X0)|v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f337])).
% 36.97/5.06 fof(f340,plain,(
% 36.97/5.06 ![X0,X1]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|v3_struct_0(X1)|~v2_tsp_2(X1,X0)|~m1_pre_topc(X1,X0)|v5_pre_topc(k1_tsp_2(X0,X1),X0,X1))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f337])).
% 36.97/5.06 fof(f341,plain,(
% 36.97/5.06 ![X0,X1]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|v3_struct_0(X1)|~v2_tsp_2(X1,X0)|~m1_pre_topc(X1,X0)|m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f337])).
% 36.97/5.06 fof(f344,plain,(
% 36.97/5.06 ![A,B,C,D]: (((((~l1_struct_0(A)|~l1_struct_0(B))|~v1_funct_1(C))|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))))),
% 36.97/5.06 inference(pre_NNF_transformation,[status(esa)],[f60])).
% 36.97/5.06 fof(f345,plain,(
% 36.97/5.06 ![A,B,C]: (((((~l1_struct_0(A)|~l1_struct_0(B))|~v1_funct_1(C))|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|(![D]: m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B)))))),
% 36.97/5.06 inference(miniscoping,[status(esa)],[f344])).
% 36.97/5.06 fof(f346,plain,(
% 36.97/5.06 ![X0,X1,X2,X3]: (~l1_struct_0(X0)|~l1_struct_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))|~m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))|m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f345])).
% 36.97/5.06 fof(f354,plain,(
% 36.97/5.06 ![A]: (~l1_pre_topc(A)|l1_struct_0(A))),
% 36.97/5.06 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 36.97/5.06 fof(f355,plain,(
% 36.97/5.06 ![X0]: (~l1_pre_topc(X0)|l1_struct_0(X0))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f354])).
% 36.97/5.06 fof(f360,plain,(
% 36.97/5.06 ![A]: (~l1_pre_topc(A)|(![B]: (~m2_tsp_1(B,A)|l1_pre_topc(B))))),
% 36.97/5.06 inference(pre_NNF_transformation,[status(esa)],[f70])).
% 36.97/5.06 fof(f361,plain,(
% 36.97/5.06 ![X0,X1]: (~l1_pre_topc(X0)|~m2_tsp_1(X1,X0)|l1_pre_topc(X1))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f360])).
% 36.97/5.06 fof(f515,plain,(
% 36.97/5.06 ![A,B]: ((((((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|v3_struct_0(B))|~v2_tsp_2(B,A))|~m1_pre_topc(B,A))|k4_tsp_2(A,B)=k1_tsp_2(A,B))),
% 36.97/5.06 inference(pre_NNF_transformation,[status(esa)],[f108])).
% 36.97/5.06 fof(f516,plain,(
% 36.97/5.06 ![X0,X1]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|v3_struct_0(X1)|~v2_tsp_2(X1,X0)|~m1_pre_topc(X1,X0)|k4_tsp_2(X0,X1)=k1_tsp_2(X0,X1))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f515])).
% 36.97/5.06 fof(f517,plain,(
% 36.97/5.06 ![A,B,C]: ((~m1_subset_1(B,k1_zfmisc_1(A))|~m1_subset_1(C,k1_zfmisc_1(A)))|k5_subset_1(A,B,C)=k3_xboole_0(B,C))),
% 36.97/5.06 inference(pre_NNF_transformation,[status(esa)],[f109])).
% 36.97/5.06 fof(f518,plain,(
% 36.97/5.06 ![X0,X1,X2]: (~m1_subset_1(X0,k1_zfmisc_1(X1))|~m1_subset_1(X2,k1_zfmisc_1(X1))|k5_subset_1(X1,X0,X2)=k3_xboole_0(X0,X2))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f517])).
% 36.97/5.06 fof(f519,plain,(
% 36.97/5.06 ![A,B,C]: ((~m2_relset_1(C,A,B)|m1_relset_1(C,A,B))&(m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 36.97/5.06 inference(NNF_transformation,[status(esa)],[f110])).
% 36.97/5.06 fof(f520,plain,(
% 36.97/5.06 (![A,B,C]: (~m2_relset_1(C,A,B)|m1_relset_1(C,A,B)))&(![A,B,C]: (m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 36.97/5.06 inference(miniscoping,[status(esa)],[f519])).
% 36.97/5.06 fof(f521,plain,(
% 36.97/5.06 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f520])).
% 36.97/5.06 fof(f523,plain,(
% 36.97/5.06 ![A]: (~l1_pre_topc(A)|(![B]: (m2_tsp_1(B,A)<=>m1_pre_topc(B,A))))),
% 36.97/5.06 inference(pre_NNF_transformation,[status(esa)],[f111])).
% 36.97/5.06 fof(f524,plain,(
% 36.97/5.06 ![A]: (~l1_pre_topc(A)|(![B]: ((~m2_tsp_1(B,A)|m1_pre_topc(B,A))&(m2_tsp_1(B,A)|~m1_pre_topc(B,A)))))),
% 36.97/5.06 inference(NNF_transformation,[status(esa)],[f523])).
% 36.97/5.06 fof(f525,plain,(
% 36.97/5.06 ![A]: (~l1_pre_topc(A)|((![B]: (~m2_tsp_1(B,A)|m1_pre_topc(B,A)))&(![B]: (m2_tsp_1(B,A)|~m1_pre_topc(B,A)))))),
% 36.97/5.06 inference(miniscoping,[status(esa)],[f524])).
% 36.97/5.06 fof(f526,plain,(
% 36.97/5.06 ![X0,X1]: (~l1_pre_topc(X0)|~m2_tsp_1(X1,X0)|m1_pre_topc(X1,X0))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f525])).
% 36.97/5.06 fof(f532,plain,(
% 36.97/5.06 ![A]: (~l1_pre_topc(A)|(![B]: (~m1_pre_topc(B,A)|m1_subset_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(A))))))),
% 36.97/5.06 inference(pre_NNF_transformation,[status(esa)],[f114])).
% 36.97/5.06 fof(f533,plain,(
% 36.97/5.06 ![X0,X1]: (~l1_pre_topc(X0)|~m1_pre_topc(X1,X0)|m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0))))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f532])).
% 36.97/5.06 fof(f547,plain,(
% 36.97/5.06 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|(![B]: (~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|(~v4_pre_topc(B,A)|k3_tex_4(A,B)=B))))),
% 36.97/5.06 inference(pre_NNF_transformation,[status(esa)],[f120])).
% 36.97/5.06 fof(f548,plain,(
% 36.97/5.06 ![X0,X1]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~v4_pre_topc(X1,X0)|k3_tex_4(X0,X1)=X1)),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f547])).
% 36.97/5.06 fof(f557,plain,(
% 36.97/5.06 ![A,B,C,D]: ((~pd0_0(D,C,B,A)|((m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))&v4_pre_topc(D,A))&C=k3_xboole_0(D,u1_struct_0(B))))&(pd0_0(D,C,B,A)|((~m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))|~v4_pre_topc(D,A))|~C=k3_xboole_0(D,u1_struct_0(B)))))),
% 36.97/5.06 inference(NNF_transformation,[status(esa)],[f327])).
% 36.97/5.06 fof(f558,plain,(
% 36.97/5.06 (![A,B,C,D]: (~pd0_0(D,C,B,A)|((m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))&v4_pre_topc(D,A))&C=k3_xboole_0(D,u1_struct_0(B)))))&(![A,B,C,D]: (pd0_0(D,C,B,A)|((~m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))|~v4_pre_topc(D,A))|~C=k3_xboole_0(D,u1_struct_0(B)))))),
% 36.97/5.06 inference(miniscoping,[status(esa)],[f557])).
% 36.97/5.06 fof(f562,plain,(
% 36.97/5.06 ![X0,X1,X2,X3]: (pd0_0(X0,X1,X2,X3)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X3)))|~v4_pre_topc(X0,X3)|~X1=k3_xboole_0(X0,u1_struct_0(X2)))),
% 36.97/5.06 inference(cnf_transformation,[status(esa)],[f558])).
% 36.97/5.06 fof(f563,plain,(
% 36.97/5.06 ![X0,X1,X2]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|v3_struct_0(X1)|~v2_tsp_2(X1,X0)|~m2_tsp_1(X1,X0)|~v1_funct_1(k4_tsp_2(X0,X1))|~v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))|~v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)|~m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))|~m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))|k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X2))=k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2))),
% 36.97/5.06 inference(destructive_equality_resolution,[status(esa)],[f321])).
% 36.97/5.06 fof(f564,plain,(
% 36.97/5.06 ![X0,X1,X2]: (pd0_0(X0,k3_xboole_0(X0,u1_struct_0(X1)),X1,X2)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X2)))|~v4_pre_topc(X0,X2))),
% 36.97/5.06 inference(destructive_equality_resolution,[status(esa)],[f562])).
% 36.97/5.06 fof(f574,plain,(
% 36.97/5.06 ![X0,X1,X2]: (pd0_0(X0,k3_xboole_0(u1_struct_0(X1),X0),X1,X2)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X2)))|~v4_pre_topc(X0,X2))),
% 36.97/5.06 inference(paramodulation,[status(thm)],[f315,f564])).
% 36.97/5.06 fof(f581,plain,(
% 36.97/5.06 spl0_0 <=> v3_struct_0(sk0_0)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f582,plain,(
% 36.97/5.06 v3_struct_0(sk0_0)|~spl0_0),
% 36.97/5.06 inference(component_clause,[status(thm)],[f581])).
% 36.97/5.06 fof(f584,plain,(
% 36.97/5.06 spl0_1 <=> l1_pre_topc(sk0_0)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f586,plain,(
% 36.97/5.06 ~l1_pre_topc(sk0_0)|spl0_1),
% 36.97/5.06 inference(component_clause,[status(thm)],[f584])).
% 36.97/5.06 fof(f587,plain,(
% 36.97/5.06 spl0_2 <=> ~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~v4_pre_topc(X0,sk0_0)|k3_tex_4(sk0_0,X0)=X0),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f588,plain,(
% 36.97/5.06 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~v4_pre_topc(X0,sk0_0)|k3_tex_4(sk0_0,X0)=X0|~spl0_2)),
% 36.97/5.06 inference(component_clause,[status(thm)],[f587])).
% 36.97/5.06 fof(f590,plain,(
% 36.97/5.06 ![X0]: (v3_struct_0(sk0_0)|~l1_pre_topc(sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~v4_pre_topc(X0,sk0_0)|k3_tex_4(sk0_0,X0)=X0)),
% 36.97/5.06 inference(resolution,[status(thm)],[f548,f127])).
% 36.97/5.06 fof(f591,plain,(
% 36.97/5.06 spl0_0|~spl0_1|spl0_2),
% 36.97/5.06 inference(split_clause,[status(thm)],[f590,f581,f584,f587])).
% 36.97/5.06 fof(f594,plain,(
% 36.97/5.06 $false|spl0_1),
% 36.97/5.06 inference(forward_subsumption_resolution,[status(thm)],[f586,f128])).
% 36.97/5.06 fof(f595,plain,(
% 36.97/5.06 spl0_1),
% 36.97/5.06 inference(contradiction_clause,[status(thm)],[f594])).
% 36.97/5.06 fof(f596,plain,(
% 36.97/5.06 $false|~spl0_0),
% 36.97/5.06 inference(forward_subsumption_resolution,[status(thm)],[f582,f126])).
% 36.97/5.06 fof(f597,plain,(
% 36.97/5.06 ~spl0_0),
% 36.97/5.06 inference(contradiction_clause,[status(thm)],[f596])).
% 36.97/5.06 fof(f604,plain,(
% 36.97/5.06 spl0_5 <=> v2_pre_topc(sk0_0)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f606,plain,(
% 36.97/5.06 ~v2_pre_topc(sk0_0)|spl0_5),
% 36.97/5.06 inference(component_clause,[status(thm)],[f604])).
% 36.97/5.06 fof(f641,plain,(
% 36.97/5.06 spl0_14 <=> m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f643,plain,(
% 36.97/5.06 ~m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))|spl0_14),
% 36.97/5.06 inference(component_clause,[status(thm)],[f641])).
% 36.97/5.06 fof(f644,plain,(
% 36.97/5.06 spl0_15 <=> k3_tex_4(sk0_0,sk0_2)=sk0_2),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f645,plain,(
% 36.97/5.06 k3_tex_4(sk0_0,sk0_2)=sk0_2|~spl0_15),
% 36.97/5.06 inference(component_clause,[status(thm)],[f644])).
% 36.97/5.06 fof(f647,plain,(
% 36.97/5.06 ~m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))|k3_tex_4(sk0_0,sk0_2)=sk0_2|~spl0_2),
% 36.97/5.06 inference(resolution,[status(thm)],[f588,f133])).
% 36.97/5.06 fof(f648,plain,(
% 36.97/5.06 ~spl0_14|spl0_15|~spl0_2),
% 36.97/5.06 inference(split_clause,[status(thm)],[f647,f641,f644,f587])).
% 36.97/5.06 fof(f649,plain,(
% 36.97/5.06 $false|spl0_14),
% 36.97/5.06 inference(forward_subsumption_resolution,[status(thm)],[f643,f132])).
% 36.97/5.06 fof(f650,plain,(
% 36.97/5.06 spl0_14),
% 36.97/5.06 inference(contradiction_clause,[status(thm)],[f649])).
% 36.97/5.06 fof(f703,plain,(
% 36.97/5.06 ![X0,X1]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|v3_struct_0(X1)|~v2_tsp_2(X1,X0)|k4_tsp_2(X0,X1)=k1_tsp_2(X0,X1)|~l1_pre_topc(X0)|~m2_tsp_1(X1,X0))),
% 36.97/5.06 inference(resolution,[status(thm)],[f516,f526])).
% 36.97/5.06 fof(f704,plain,(
% 36.97/5.06 ![X0,X1]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|v3_struct_0(X1)|~v2_tsp_2(X1,X0)|k4_tsp_2(X0,X1)=k1_tsp_2(X0,X1)|~m2_tsp_1(X1,X0))),
% 36.97/5.06 inference(duplicate_literals_removal,[status(esa)],[f703])).
% 36.97/5.06 fof(f705,plain,(
% 36.97/5.06 spl0_21 <=> v3_struct_0(sk0_1)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f706,plain,(
% 36.97/5.06 v3_struct_0(sk0_1)|~spl0_21),
% 36.97/5.06 inference(component_clause,[status(thm)],[f705])).
% 36.97/5.06 fof(f708,plain,(
% 36.97/5.06 spl0_22 <=> k4_tsp_2(sk0_0,sk0_1)=k1_tsp_2(sk0_0,sk0_1)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f709,plain,(
% 36.97/5.06 k4_tsp_2(sk0_0,sk0_1)=k1_tsp_2(sk0_0,sk0_1)|~spl0_22),
% 36.97/5.06 inference(component_clause,[status(thm)],[f708])).
% 36.97/5.06 fof(f711,plain,(
% 36.97/5.06 spl0_23 <=> m2_tsp_1(sk0_1,sk0_0)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f713,plain,(
% 36.97/5.06 ~m2_tsp_1(sk0_1,sk0_0)|spl0_23),
% 36.97/5.06 inference(component_clause,[status(thm)],[f711])).
% 36.97/5.06 fof(f714,plain,(
% 36.97/5.06 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|~l1_pre_topc(sk0_0)|v3_struct_0(sk0_1)|k4_tsp_2(sk0_0,sk0_1)=k1_tsp_2(sk0_0,sk0_1)|~m2_tsp_1(sk0_1,sk0_0)),
% 36.97/5.06 inference(resolution,[status(thm)],[f704,f130])).
% 36.97/5.06 fof(f715,plain,(
% 36.97/5.06 spl0_0|~spl0_5|~spl0_1|spl0_21|spl0_22|~spl0_23),
% 36.97/5.06 inference(split_clause,[status(thm)],[f714,f581,f604,f584,f705,f708,f711])).
% 36.97/5.06 fof(f716,plain,(
% 36.97/5.06 $false|spl0_23),
% 36.97/5.06 inference(forward_subsumption_resolution,[status(thm)],[f713,f131])).
% 36.97/5.06 fof(f717,plain,(
% 36.97/5.06 spl0_23),
% 36.97/5.06 inference(contradiction_clause,[status(thm)],[f716])).
% 36.97/5.06 fof(f718,plain,(
% 36.97/5.06 $false|spl0_5),
% 36.97/5.06 inference(forward_subsumption_resolution,[status(thm)],[f606,f127])).
% 36.97/5.06 fof(f719,plain,(
% 36.97/5.06 spl0_5),
% 36.97/5.06 inference(contradiction_clause,[status(thm)],[f718])).
% 36.97/5.06 fof(f720,plain,(
% 36.97/5.06 $false|~spl0_21),
% 36.97/5.06 inference(forward_subsumption_resolution,[status(thm)],[f706,f129])).
% 36.97/5.06 fof(f721,plain,(
% 36.97/5.06 ~spl0_21),
% 36.97/5.06 inference(contradiction_clause,[status(thm)],[f720])).
% 36.97/5.06 fof(f799,plain,(
% 36.97/5.06 spl0_34 <=> l1_pre_topc(sk0_1)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f801,plain,(
% 36.97/5.06 ~l1_pre_topc(sk0_1)|spl0_34),
% 36.97/5.06 inference(component_clause,[status(thm)],[f799])).
% 36.97/5.06 fof(f810,plain,(
% 36.97/5.06 ![X0]: (~l1_pre_topc(X0)|~m2_tsp_1(sk0_1,X0)|spl0_34)),
% 36.97/5.06 inference(resolution,[status(thm)],[f801,f361])).
% 36.97/5.06 fof(f811,plain,(
% 36.97/5.06 ~l1_pre_topc(sk0_0)|spl0_34),
% 36.97/5.06 inference(resolution,[status(thm)],[f810,f131])).
% 36.97/5.06 fof(f812,plain,(
% 36.97/5.06 ~spl0_1|spl0_34),
% 36.97/5.06 inference(split_clause,[status(thm)],[f811,f584,f799])).
% 36.97/5.06 fof(f850,plain,(
% 36.97/5.06 spl0_41 <=> v2_tsp_2(sk0_1,sk0_0)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f852,plain,(
% 36.97/5.06 ~v2_tsp_2(sk0_1,sk0_0)|spl0_41),
% 36.97/5.06 inference(component_clause,[status(thm)],[f850])).
% 36.97/5.06 fof(f853,plain,(
% 36.97/5.06 spl0_42 <=> m1_pre_topc(sk0_1,sk0_0)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f855,plain,(
% 36.97/5.06 ~m1_pre_topc(sk0_1,sk0_0)|spl0_42),
% 36.97/5.06 inference(component_clause,[status(thm)],[f853])).
% 36.97/5.06 fof(f856,plain,(
% 36.97/5.06 spl0_43 <=> m2_relset_1(k4_tsp_2(sk0_0,sk0_1),u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f857,plain,(
% 36.97/5.06 m2_relset_1(k4_tsp_2(sk0_0,sk0_1),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~spl0_43),
% 36.97/5.06 inference(component_clause,[status(thm)],[f856])).
% 36.97/5.06 fof(f859,plain,(
% 36.97/5.06 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|~l1_pre_topc(sk0_0)|v3_struct_0(sk0_1)|~v2_tsp_2(sk0_1,sk0_0)|~m1_pre_topc(sk0_1,sk0_0)|m2_relset_1(k4_tsp_2(sk0_0,sk0_1),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~spl0_22),
% 36.97/5.06 inference(paramodulation,[status(thm)],[f709,f341])).
% 36.97/5.06 fof(f860,plain,(
% 36.97/5.06 spl0_0|~spl0_5|~spl0_1|spl0_21|~spl0_41|~spl0_42|spl0_43|~spl0_22),
% 36.97/5.06 inference(split_clause,[status(thm)],[f859,f581,f604,f584,f705,f850,f853,f856,f708])).
% 36.97/5.06 fof(f861,plain,(
% 36.97/5.06 spl0_44 <=> v1_funct_2(k4_tsp_2(sk0_0,sk0_1),u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f864,plain,(
% 36.97/5.06 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|~l1_pre_topc(sk0_0)|v3_struct_0(sk0_1)|~v2_tsp_2(sk0_1,sk0_0)|~m1_pre_topc(sk0_1,sk0_0)|v1_funct_2(k4_tsp_2(sk0_0,sk0_1),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~spl0_22),
% 36.97/5.06 inference(paramodulation,[status(thm)],[f709,f339])).
% 36.97/5.06 fof(f865,plain,(
% 36.97/5.06 spl0_0|~spl0_5|~spl0_1|spl0_21|~spl0_41|~spl0_42|spl0_44|~spl0_22),
% 36.97/5.06 inference(split_clause,[status(thm)],[f864,f581,f604,f584,f705,f850,f853,f861,f708])).
% 36.97/5.06 fof(f866,plain,(
% 36.97/5.06 spl0_45 <=> v5_pre_topc(k4_tsp_2(sk0_0,sk0_1),sk0_0,sk0_1)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f869,plain,(
% 36.97/5.06 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|~l1_pre_topc(sk0_0)|v3_struct_0(sk0_1)|~v2_tsp_2(sk0_1,sk0_0)|~m1_pre_topc(sk0_1,sk0_0)|v5_pre_topc(k4_tsp_2(sk0_0,sk0_1),sk0_0,sk0_1)|~spl0_22),
% 36.97/5.06 inference(paramodulation,[status(thm)],[f709,f340])).
% 36.97/5.06 fof(f870,plain,(
% 36.97/5.06 spl0_0|~spl0_5|~spl0_1|spl0_21|~spl0_41|~spl0_42|spl0_45|~spl0_22),
% 36.97/5.06 inference(split_clause,[status(thm)],[f869,f581,f604,f584,f705,f850,f853,f866,f708])).
% 36.97/5.06 fof(f871,plain,(
% 36.97/5.06 spl0_46 <=> v1_funct_1(k4_tsp_2(sk0_0,sk0_1))),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f874,plain,(
% 36.97/5.06 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|~l1_pre_topc(sk0_0)|v3_struct_0(sk0_1)|~v2_tsp_2(sk0_1,sk0_0)|~m1_pre_topc(sk0_1,sk0_0)|v1_funct_1(k4_tsp_2(sk0_0,sk0_1))|~spl0_22),
% 36.97/5.06 inference(paramodulation,[status(thm)],[f709,f338])).
% 36.97/5.06 fof(f875,plain,(
% 36.97/5.06 spl0_0|~spl0_5|~spl0_1|spl0_21|~spl0_41|~spl0_42|spl0_46|~spl0_22),
% 36.97/5.06 inference(split_clause,[status(thm)],[f874,f581,f604,f584,f705,f850,f853,f871,f708])).
% 36.97/5.06 fof(f876,plain,(
% 36.97/5.06 ~l1_pre_topc(sk0_0)|~m2_tsp_1(sk0_1,sk0_0)|spl0_42),
% 36.97/5.06 inference(resolution,[status(thm)],[f855,f526])).
% 36.97/5.06 fof(f877,plain,(
% 36.97/5.06 ~spl0_1|~spl0_23|spl0_42),
% 36.97/5.06 inference(split_clause,[status(thm)],[f876,f584,f711,f853])).
% 36.97/5.06 fof(f878,plain,(
% 36.97/5.06 $false|spl0_41),
% 36.97/5.06 inference(forward_subsumption_resolution,[status(thm)],[f852,f130])).
% 36.97/5.06 fof(f879,plain,(
% 36.97/5.06 spl0_41),
% 36.97/5.06 inference(contradiction_clause,[status(thm)],[f878])).
% 36.97/5.06 fof(f7534,plain,(
% 36.97/5.06 spl0_776 <=> m1_subset_1(u1_struct_0(sk0_1),k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f7535,plain,(
% 36.97/5.06 m1_subset_1(u1_struct_0(sk0_1),k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_776),
% 36.97/5.06 inference(component_clause,[status(thm)],[f7534])).
% 36.97/5.06 fof(f7536,plain,(
% 36.97/5.06 ~m1_subset_1(u1_struct_0(sk0_1),k1_zfmisc_1(u1_struct_0(sk0_0)))|spl0_776),
% 36.97/5.06 inference(component_clause,[status(thm)],[f7534])).
% 36.97/5.06 fof(f7537,plain,(
% 36.97/5.06 spl0_777 <=> ~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),k3_tex_4(sk0_0,X0))=k4_pre_topc(sk0_0,sk0_1,k4_tsp_2(sk0_0,sk0_1),X0)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f7538,plain,(
% 36.97/5.06 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),k3_tex_4(sk0_0,X0))=k4_pre_topc(sk0_0,sk0_1,k4_tsp_2(sk0_0,sk0_1),X0)|~spl0_777)),
% 36.97/5.06 inference(component_clause,[status(thm)],[f7537])).
% 36.97/5.06 fof(f7540,plain,(
% 36.97/5.06 ![X0]: (v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|~l1_pre_topc(sk0_0)|v3_struct_0(sk0_1)|~m2_tsp_1(sk0_1,sk0_0)|~v1_funct_1(k4_tsp_2(sk0_0,sk0_1))|~v1_funct_2(k4_tsp_2(sk0_0,sk0_1),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~v5_pre_topc(k4_tsp_2(sk0_0,sk0_1),sk0_0,sk0_1)|~m2_relset_1(k4_tsp_2(sk0_0,sk0_1),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~m1_subset_1(u1_struct_0(sk0_1),k1_zfmisc_1(u1_struct_0(sk0_0)))|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),k3_tex_4(sk0_0,X0))=k4_pre_topc(sk0_0,sk0_1,k4_tsp_2(sk0_0,sk0_1),X0))),
% 36.97/5.06 inference(resolution,[status(thm)],[f563,f130])).
% 36.97/5.06 fof(f7541,plain,(
% 36.97/5.06 spl0_0|~spl0_5|~spl0_1|spl0_21|~spl0_23|~spl0_46|~spl0_44|~spl0_45|~spl0_43|~spl0_776|spl0_777),
% 36.97/5.06 inference(split_clause,[status(thm)],[f7540,f581,f604,f584,f705,f711,f871,f861,f866,f856,f7534,f7537])).
% 36.97/5.06 fof(f7621,plain,(
% 36.97/5.06 ~l1_pre_topc(sk0_0)|~m1_pre_topc(sk0_1,sk0_0)|spl0_776),
% 36.97/5.06 inference(resolution,[status(thm)],[f7536,f533])).
% 36.97/5.06 fof(f7622,plain,(
% 36.97/5.06 ~spl0_1|~spl0_42|spl0_776),
% 36.97/5.06 inference(split_clause,[status(thm)],[f7621,f584,f853,f7534])).
% 36.97/5.06 fof(f7796,plain,(
% 36.97/5.06 spl0_806 <=> k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2)=k4_pre_topc(sk0_0,sk0_1,k4_tsp_2(sk0_0,sk0_1),sk0_2)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f7797,plain,(
% 36.97/5.06 k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2)=k4_pre_topc(sk0_0,sk0_1,k4_tsp_2(sk0_0,sk0_1),sk0_2)|~spl0_806),
% 36.97/5.06 inference(component_clause,[status(thm)],[f7796])).
% 36.97/5.06 fof(f7799,plain,(
% 36.97/5.06 ~m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))|k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2)=k4_pre_topc(sk0_0,sk0_1,k4_tsp_2(sk0_0,sk0_1),sk0_2)|~spl0_777|~spl0_15),
% 36.97/5.06 inference(paramodulation,[status(thm)],[f645,f7538])).
% 36.97/5.06 fof(f7800,plain,(
% 36.97/5.06 ~spl0_14|spl0_806|~spl0_777|~spl0_15),
% 36.97/5.06 inference(split_clause,[status(thm)],[f7799,f641,f7796,f7537,f644])).
% 36.97/5.06 fof(f8126,plain,(
% 36.97/5.06 spl0_838 <=> l1_struct_0(sk0_0)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f8128,plain,(
% 36.97/5.06 ~l1_struct_0(sk0_0)|spl0_838),
% 36.97/5.06 inference(component_clause,[status(thm)],[f8126])).
% 36.97/5.06 fof(f8129,plain,(
% 36.97/5.06 spl0_839 <=> l1_struct_0(sk0_1)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f8131,plain,(
% 36.97/5.06 ~l1_struct_0(sk0_1)|spl0_839),
% 36.97/5.06 inference(component_clause,[status(thm)],[f8129])).
% 36.97/5.06 fof(f8132,plain,(
% 36.97/5.06 spl0_840 <=> m1_relset_1(k4_tsp_2(sk0_0,sk0_1),u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f8134,plain,(
% 36.97/5.06 ~m1_relset_1(k4_tsp_2(sk0_0,sk0_1),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|spl0_840),
% 36.97/5.06 inference(component_clause,[status(thm)],[f8132])).
% 36.97/5.06 fof(f8140,plain,(
% 36.97/5.06 ~v4_pre_topc(k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2),sk0_1)|~spl0_806),
% 36.97/5.06 inference(backward_demodulation,[status(thm)],[f7797,f134])).
% 36.97/5.06 fof(f8141,plain,(
% 36.97/5.06 spl0_842 <=> m1_subset_1(k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2),k1_zfmisc_1(u1_struct_0(sk0_1)))),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f8144,plain,(
% 36.97/5.06 ~l1_struct_0(sk0_0)|~l1_struct_0(sk0_1)|~v1_funct_1(k4_tsp_2(sk0_0,sk0_1))|~v1_funct_2(k4_tsp_2(sk0_0,sk0_1),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~m1_relset_1(k4_tsp_2(sk0_0,sk0_1),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|m1_subset_1(k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2),k1_zfmisc_1(u1_struct_0(sk0_1)))|~spl0_806),
% 36.97/5.06 inference(paramodulation,[status(thm)],[f7797,f346])).
% 36.97/5.06 fof(f8145,plain,(
% 36.97/5.06 ~spl0_838|~spl0_839|~spl0_46|~spl0_44|~spl0_840|spl0_842|~spl0_806),
% 36.97/5.06 inference(split_clause,[status(thm)],[f8144,f8126,f8129,f871,f861,f8132,f8141,f7796])).
% 36.97/5.06 fof(f8146,plain,(
% 36.97/5.06 ~l1_pre_topc(sk0_1)|spl0_839),
% 36.97/5.06 inference(resolution,[status(thm)],[f8131,f355])).
% 36.97/5.06 fof(f8147,plain,(
% 36.97/5.06 ~spl0_34|spl0_839),
% 36.97/5.06 inference(split_clause,[status(thm)],[f8146,f799,f8129])).
% 36.97/5.06 fof(f8148,plain,(
% 36.97/5.06 ~l1_pre_topc(sk0_0)|spl0_838),
% 36.97/5.06 inference(resolution,[status(thm)],[f8128,f355])).
% 36.97/5.06 fof(f8149,plain,(
% 36.97/5.06 ~spl0_1|spl0_838),
% 36.97/5.06 inference(split_clause,[status(thm)],[f8148,f584,f8126])).
% 36.97/5.06 fof(f10732,plain,(
% 36.97/5.06 ![X0,X1,X2,X3]: (~l1_pre_topc(X0)|~m2_tsp_1(X1,X0)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|v4_pre_topc(X2,X1)|~pd0_0(X3,X2,X1,X0))),
% 36.97/5.06 inference(forward_subsumption_resolution,[status(thm)],[f333,f361])).
% 36.97/5.06 fof(f10733,plain,(
% 36.97/5.06 spl0_1028 <=> ~l1_pre_topc(X0)|~m2_tsp_1(sk0_1,X0)|~pd0_0(X1,k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2),sk0_1,X0)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f10734,plain,(
% 36.97/5.06 ![X0,X1]: (~l1_pre_topc(X0)|~m2_tsp_1(sk0_1,X0)|~pd0_0(X1,k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2),sk0_1,X0)|~spl0_1028)),
% 36.97/5.06 inference(component_clause,[status(thm)],[f10733])).
% 36.97/5.06 fof(f10736,plain,(
% 36.97/5.06 ![X0,X1]: (~l1_pre_topc(X0)|~m2_tsp_1(sk0_1,X0)|~m1_subset_1(k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2),k1_zfmisc_1(u1_struct_0(sk0_1)))|~pd0_0(X1,k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2),sk0_1,X0)|~spl0_806)),
% 36.97/5.06 inference(resolution,[status(thm)],[f10732,f8140])).
% 36.97/5.06 fof(f10737,plain,(
% 36.97/5.06 spl0_1028|~spl0_842|~spl0_806),
% 36.97/5.06 inference(split_clause,[status(thm)],[f10736,f10733,f8141,f7796])).
% 36.97/5.06 fof(f10983,plain,(
% 36.97/5.06 spl0_1046 <=> ~pd0_0(X0,k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2),sk0_1,sk0_0)),
% 36.97/5.06 introduced(split_symbol_definition)).
% 36.97/5.06 fof(f10984,plain,(
% 36.97/5.06 ![X0]: (~pd0_0(X0,k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2),sk0_1,sk0_0)|~spl0_1046)),
% 37.33/5.09 inference(component_clause,[status(thm)],[f10983])).
% 37.33/5.09 fof(f10986,plain,(
% 37.33/5.09 ![X0]: (~l1_pre_topc(sk0_0)|~pd0_0(X0,k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2),sk0_1,sk0_0)|~spl0_1028)),
% 37.33/5.09 inference(resolution,[status(thm)],[f10734,f131])).
% 37.33/5.09 fof(f10987,plain,(
% 37.33/5.09 ~spl0_1|spl0_1046|~spl0_1028),
% 37.33/5.09 inference(split_clause,[status(thm)],[f10986,f584,f10983,f10733])).
% 37.33/5.09 fof(f12184,plain,(
% 37.33/5.09 ~m2_relset_1(k4_tsp_2(sk0_0,sk0_1),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|spl0_840),
% 37.33/5.09 inference(resolution,[status(thm)],[f521,f8134])).
% 37.33/5.09 fof(f12185,plain,(
% 37.33/5.09 $false|~spl0_43|spl0_840),
% 37.33/5.09 inference(forward_subsumption_resolution,[status(thm)],[f12184,f857])).
% 37.33/5.09 fof(f12186,plain,(
% 37.33/5.09 ~spl0_43|spl0_840),
% 37.33/5.09 inference(contradiction_clause,[status(thm)],[f12185])).
% 37.33/5.09 fof(f14908,plain,(
% 37.33/5.09 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|k5_subset_1(u1_struct_0(sk0_0),X0,sk0_2)=k3_xboole_0(X0,sk0_2))),
% 37.33/5.09 inference(resolution,[status(thm)],[f518,f132])).
% 37.33/5.09 fof(f15000,plain,(
% 37.33/5.09 k5_subset_1(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2)=k3_xboole_0(u1_struct_0(sk0_1),sk0_2)|~spl0_776),
% 37.33/5.09 inference(resolution,[status(thm)],[f14908,f7535])).
% 37.33/5.09 fof(f15676,plain,(
% 37.33/5.09 ![X0]: (~pd0_0(X0,k3_xboole_0(u1_struct_0(sk0_1),sk0_2),sk0_1,sk0_0)|~spl0_776|~spl0_1046)),
% 37.33/5.09 inference(backward_demodulation,[status(thm)],[f15000,f10984])).
% 37.33/5.09 fof(f17696,plain,(
% 37.33/5.09 spl0_1606 <=> v4_pre_topc(sk0_2,sk0_0)),
% 37.33/5.09 introduced(split_symbol_definition)).
% 37.33/5.09 fof(f17698,plain,(
% 37.33/5.09 ~v4_pre_topc(sk0_2,sk0_0)|spl0_1606),
% 37.33/5.09 inference(component_clause,[status(thm)],[f17696])).
% 37.33/5.09 fof(f17699,plain,(
% 37.33/5.09 ~m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))|~v4_pre_topc(sk0_2,sk0_0)|~spl0_776|~spl0_1046),
% 37.33/5.09 inference(resolution,[status(thm)],[f15676,f574])).
% 37.33/5.09 fof(f17700,plain,(
% 37.33/5.09 ~spl0_14|~spl0_1606|~spl0_776|~spl0_1046),
% 37.33/5.09 inference(split_clause,[status(thm)],[f17699,f641,f17696,f7534,f10983])).
% 37.33/5.09 fof(f17705,plain,(
% 37.33/5.09 $false|spl0_1606),
% 37.33/5.09 inference(forward_subsumption_resolution,[status(thm)],[f17698,f133])).
% 37.33/5.09 fof(f17706,plain,(
% 37.33/5.09 spl0_1606),
% 37.33/5.09 inference(contradiction_clause,[status(thm)],[f17705])).
% 37.33/5.09 fof(f17707,plain,(
% 37.33/5.09 $false),
% 37.33/5.09 inference(sat_refutation,[status(thm)],[f591,f595,f597,f648,f650,f715,f717,f719,f721,f812,f860,f865,f870,f875,f877,f879,f7541,f7622,f7800,f8145,f8147,f8149,f10737,f10987,f12186,f17700,f17706])).
% 37.33/5.09 % SZS output end CNFRefutation for theBenchmark.p
% 37.33/5.13 % Elapsed time: 4.780818 seconds
% 37.33/5.13 % CPU time: 37.551540 seconds
% 37.33/5.13 % Total memory used: 263.485 MB
% 37.33/5.13 % Net memory used: 258.003 MB
%------------------------------------------------------------------------------