TSTP Solution File: TOP034+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : TOP034+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:55:14 EDT 2024
% Result : Theorem 0.16s 0.35s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : TOP034+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 22:29:24 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.16/0.33 % Drodi V3.6.0
% 0.16/0.35 % Refutation found
% 0.16/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.35 fof(f1,conjecture,(
% 0.16/0.35 (! [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) )=> r1_borsuk_1(A,B) ) )) )),
% 0.16/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.35 fof(f2,negated_conjecture,(
% 0.16/0.35 ~((! [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) )=> r1_borsuk_1(A,B) ) )) ))),
% 0.16/0.35 inference(negated_conjecture,[status(cth)],[f1])).
% 0.16/0.35 fof(f50,axiom,(
% 0.16/0.35 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> (! [B] :( ( ~ v3_struct_0(B)& m1_pre_topc(B,A) )=> ( r1_borsuk_1(A,B)<=> (? [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))& v3_borsuk_1(C,A,B) ) )) ) )) )),
% 0.16/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.35 fof(f86,axiom,(
% 0.16/0.35 (! [A] :( l1_pre_topc(A)=> (! [B] :( m2_tsp_1(B,A)<=> m1_pre_topc(B,A) ) )) )),
% 0.16/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.35 fof(f89,axiom,(
% 0.16/0.35 (! [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))& v3_borsuk_1(C,A,B) ) )) )) )),
% 0.16/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.35 fof(f97,plain,(
% 0.16/0.35 (?[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))&~r1_borsuk_1(A,B)))))),
% 0.16/0.35 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.16/0.35 fof(f98,plain,(
% 0.16/0.35 (((~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))&~r1_borsuk_1(sk0_0,sk0_1)))),
% 0.16/0.35 inference(skolemization,[status(esa)],[f97])).
% 0.16/0.35 fof(f99,plain,(
% 0.16/0.35 ~v3_struct_0(sk0_0)),
% 0.16/0.35 inference(cnf_transformation,[status(esa)],[f98])).
% 0.16/0.35 fof(f100,plain,(
% 0.16/0.35 v2_pre_topc(sk0_0)),
% 0.16/0.35 inference(cnf_transformation,[status(esa)],[f98])).
% 0.16/0.35 fof(f101,plain,(
% 0.16/0.35 l1_pre_topc(sk0_0)),
% 0.16/0.35 inference(cnf_transformation,[status(esa)],[f98])).
% 0.16/0.35 fof(f102,plain,(
% 0.16/0.35 ~v3_struct_0(sk0_1)),
% 0.16/0.35 inference(cnf_transformation,[status(esa)],[f98])).
% 0.16/0.35 fof(f103,plain,(
% 0.16/0.35 v2_tsp_2(sk0_1,sk0_0)),
% 0.16/0.35 inference(cnf_transformation,[status(esa)],[f98])).
% 0.16/0.35 fof(f104,plain,(
% 0.16/0.35 m2_tsp_1(sk0_1,sk0_0)),
% 0.16/0.35 inference(cnf_transformation,[status(esa)],[f98])).
% 0.16/0.35 fof(f105,plain,(
% 0.16/0.35 ~r1_borsuk_1(sk0_0,sk0_1)),
% 0.16/0.35 inference(cnf_transformation,[status(esa)],[f98])).
% 0.16/0.35 fof(f286,plain,(
% 0.16/0.35 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|(![B]: ((v3_struct_0(B)|~m1_pre_topc(B,A))|(r1_borsuk_1(A,B)<=>(?[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)))&v3_borsuk_1(C,A,B)))))))),
% 0.16/0.35 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 0.16/0.35 fof(f287,plain,(
% 0.16/0.35 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|(![B]: ((v3_struct_0(B)|~m1_pre_topc(B,A))|((~r1_borsuk_1(A,B)|(?[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)))&v3_borsuk_1(C,A,B))))&(r1_borsuk_1(A,B)|(![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)))|~v3_borsuk_1(C,A,B))))))))),
% 0.16/0.35 inference(NNF_transformation,[status(esa)],[f286])).
% 0.16/0.35 fof(f288,plain,(
% 0.16/0.35 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|(![B]: ((v3_struct_0(B)|~m1_pre_topc(B,A))|((~r1_borsuk_1(A,B)|((((v1_funct_1(sk0_2(B,A))&v1_funct_2(sk0_2(B,A),u1_struct_0(A),u1_struct_0(B)))&v5_pre_topc(sk0_2(B,A),A,B))&m2_relset_1(sk0_2(B,A),u1_struct_0(A),u1_struct_0(B)))&v3_borsuk_1(sk0_2(B,A),A,B)))&(r1_borsuk_1(A,B)|(![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)))|~v3_borsuk_1(C,A,B))))))))),
% 0.16/0.35 inference(skolemization,[status(esa)],[f287])).
% 0.16/0.35 fof(f294,plain,(
% 0.16/0.35 ![X0,X1,X2]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|v3_struct_0(X1)|~m1_pre_topc(X1,X0)|r1_borsuk_1(X0,X1)|~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))|~v3_borsuk_1(X2,X0,X1))),
% 0.16/0.35 inference(cnf_transformation,[status(esa)],[f288])).
% 0.16/0.35 fof(f402,plain,(
% 0.16/0.35 ![A]: (~l1_pre_topc(A)|(![B]: (m2_tsp_1(B,A)<=>m1_pre_topc(B,A))))),
% 0.16/0.35 inference(pre_NNF_transformation,[status(esa)],[f86])).
% 0.16/0.35 fof(f403,plain,(
% 0.16/0.35 ![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)))))),
% 0.16/0.35 inference(NNF_transformation,[status(esa)],[f402])).
% 0.16/0.35 fof(f404,plain,(
% 0.16/0.35 ![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)))))),
% 0.16/0.35 inference(miniscoping,[status(esa)],[f403])).
% 0.16/0.35 fof(f405,plain,(
% 0.16/0.35 ![X0,X1]: (~l1_pre_topc(X0)|~m2_tsp_1(X1,X0)|m1_pre_topc(X1,X0))),
% 0.16/0.35 inference(cnf_transformation,[status(esa)],[f404])).
% 0.16/0.35 fof(f411,plain,(
% 0.16/0.35 ![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)))&v3_borsuk_1(C,A,B))))))),
% 0.16/0.35 inference(pre_NNF_transformation,[status(esa)],[f89])).
% 0.16/0.35 fof(f412,plain,(
% 0.16/0.35 ![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))|((((v1_funct_1(sk0_22(B,A))&v1_funct_2(sk0_22(B,A),u1_struct_0(A),u1_struct_0(B)))&v5_pre_topc(sk0_22(B,A),A,B))&m2_relset_1(sk0_22(B,A),u1_struct_0(A),u1_struct_0(B)))&v3_borsuk_1(sk0_22(B,A),A,B)))))),
% 0.16/0.35 inference(skolemization,[status(esa)],[f411])).
% 0.16/0.35 fof(f413,plain,(
% 0.16/0.35 ![X0,X1]: (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(sk0_22(X1,X0)))),
% 0.16/0.35 inference(cnf_transformation,[status(esa)],[f412])).
% 0.16/0.35 fof(f414,plain,(
% 0.16/0.35 ![X0,X1]: (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_2(sk0_22(X1,X0),u1_struct_0(X0),u1_struct_0(X1)))),
% 0.16/0.35 inference(cnf_transformation,[status(esa)],[f412])).
% 0.16/0.35 fof(f415,plain,(
% 0.16/0.35 ![X0,X1]: (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)|v5_pre_topc(sk0_22(X1,X0),X0,X1))),
% 0.16/0.35 inference(cnf_transformation,[status(esa)],[f412])).
% 0.16/0.35 fof(f416,plain,(
% 0.16/0.35 ![X0,X1]: (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)|m2_relset_1(sk0_22(X1,X0),u1_struct_0(X0),u1_struct_0(X1)))),
% 0.16/0.35 inference(cnf_transformation,[status(esa)],[f412])).
% 0.16/0.35 fof(f417,plain,(
% 0.16/0.35 ![X0,X1]: (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)|v3_borsuk_1(sk0_22(X1,X0),X0,X1))),
% 0.16/0.35 inference(cnf_transformation,[status(esa)],[f412])).
% 0.16/0.35 fof(f451,plain,(
% 0.16/0.35 spl0_0 <=> v3_struct_0(sk0_0)),
% 0.16/0.35 introduced(split_symbol_definition)).
% 0.16/0.35 fof(f452,plain,(
% 0.16/0.35 v3_struct_0(sk0_0)|~spl0_0),
% 0.16/0.35 inference(component_clause,[status(thm)],[f451])).
% 0.16/0.35 fof(f454,plain,(
% 0.16/0.35 spl0_1 <=> l1_pre_topc(sk0_0)),
% 0.16/0.35 introduced(split_symbol_definition)).
% 0.16/0.35 fof(f456,plain,(
% 0.16/0.35 ~l1_pre_topc(sk0_0)|spl0_1),
% 0.16/0.35 inference(component_clause,[status(thm)],[f454])).
% 0.16/0.35 fof(f457,plain,(
% 0.16/0.35 spl0_2 <=> v3_struct_0(X0)|~m1_pre_topc(X0,sk0_0)|r1_borsuk_1(sk0_0,X0)|~v1_funct_1(X1)|~v1_funct_2(X1,u1_struct_0(sk0_0),u1_struct_0(X0))|~v5_pre_topc(X1,sk0_0,X0)|~m2_relset_1(X1,u1_struct_0(sk0_0),u1_struct_0(X0))|~v3_borsuk_1(X1,sk0_0,X0)),
% 0.16/0.35 introduced(split_symbol_definition)).
% 0.16/0.35 fof(f458,plain,(
% 0.16/0.35 ![X0,X1]: (v3_struct_0(X0)|~m1_pre_topc(X0,sk0_0)|r1_borsuk_1(sk0_0,X0)|~v1_funct_1(X1)|~v1_funct_2(X1,u1_struct_0(sk0_0),u1_struct_0(X0))|~v5_pre_topc(X1,sk0_0,X0)|~m2_relset_1(X1,u1_struct_0(sk0_0),u1_struct_0(X0))|~v3_borsuk_1(X1,sk0_0,X0)|~spl0_2)),
% 0.16/0.35 inference(component_clause,[status(thm)],[f457])).
% 0.16/0.35 fof(f460,plain,(
% 0.16/0.35 ![X0,X1]: (v3_struct_0(sk0_0)|~l1_pre_topc(sk0_0)|v3_struct_0(X0)|~m1_pre_topc(X0,sk0_0)|r1_borsuk_1(sk0_0,X0)|~v1_funct_1(X1)|~v1_funct_2(X1,u1_struct_0(sk0_0),u1_struct_0(X0))|~v5_pre_topc(X1,sk0_0,X0)|~m2_relset_1(X1,u1_struct_0(sk0_0),u1_struct_0(X0))|~v3_borsuk_1(X1,sk0_0,X0))),
% 0.16/0.35 inference(resolution,[status(thm)],[f294,f100])).
% 0.16/0.35 fof(f461,plain,(
% 0.16/0.35 spl0_0|~spl0_1|spl0_2),
% 0.16/0.35 inference(split_clause,[status(thm)],[f460,f451,f454,f457])).
% 0.16/0.35 fof(f462,plain,(
% 0.16/0.35 $false|spl0_1),
% 0.16/0.35 inference(forward_subsumption_resolution,[status(thm)],[f456,f101])).
% 0.16/0.35 fof(f463,plain,(
% 0.16/0.35 spl0_1),
% 0.16/0.35 inference(contradiction_clause,[status(thm)],[f462])).
% 0.16/0.35 fof(f464,plain,(
% 0.16/0.35 $false|~spl0_0),
% 0.16/0.35 inference(forward_subsumption_resolution,[status(thm)],[f452,f99])).
% 0.16/0.35 fof(f465,plain,(
% 0.16/0.35 ~spl0_0),
% 0.16/0.35 inference(contradiction_clause,[status(thm)],[f464])).
% 0.16/0.35 fof(f466,plain,(
% 0.16/0.35 spl0_3 <=> v3_struct_0(X0)|r1_borsuk_1(sk0_0,X0)|~v1_funct_1(X1)|~v1_funct_2(X1,u1_struct_0(sk0_0),u1_struct_0(X0))|~v5_pre_topc(X1,sk0_0,X0)|~m2_relset_1(X1,u1_struct_0(sk0_0),u1_struct_0(X0))|~v3_borsuk_1(X1,sk0_0,X0)|~m2_tsp_1(X0,sk0_0)),
% 0.16/0.35 introduced(split_symbol_definition)).
% 0.16/0.35 fof(f467,plain,(
% 0.16/0.35 ![X0,X1]: (v3_struct_0(X0)|r1_borsuk_1(sk0_0,X0)|~v1_funct_1(X1)|~v1_funct_2(X1,u1_struct_0(sk0_0),u1_struct_0(X0))|~v5_pre_topc(X1,sk0_0,X0)|~m2_relset_1(X1,u1_struct_0(sk0_0),u1_struct_0(X0))|~v3_borsuk_1(X1,sk0_0,X0)|~m2_tsp_1(X0,sk0_0)|~spl0_3)),
% 0.16/0.35 inference(component_clause,[status(thm)],[f466])).
% 0.16/0.35 fof(f469,plain,(
% 0.16/0.35 ![X0,X1]: (v3_struct_0(X0)|r1_borsuk_1(sk0_0,X0)|~v1_funct_1(X1)|~v1_funct_2(X1,u1_struct_0(sk0_0),u1_struct_0(X0))|~v5_pre_topc(X1,sk0_0,X0)|~m2_relset_1(X1,u1_struct_0(sk0_0),u1_struct_0(X0))|~v3_borsuk_1(X1,sk0_0,X0)|~l1_pre_topc(sk0_0)|~m2_tsp_1(X0,sk0_0)|~spl0_2)),
% 0.16/0.35 inference(resolution,[status(thm)],[f458,f405])).
% 0.16/0.35 fof(f470,plain,(
% 0.16/0.35 spl0_3|~spl0_1|~spl0_2),
% 0.16/0.35 inference(split_clause,[status(thm)],[f469,f466,f454,f457])).
% 0.16/0.35 fof(f471,plain,(
% 0.16/0.35 spl0_4 <=> v3_struct_0(sk0_1)),
% 0.16/0.35 introduced(split_symbol_definition)).
% 0.16/0.35 fof(f472,plain,(
% 0.16/0.35 v3_struct_0(sk0_1)|~spl0_4),
% 0.16/0.35 inference(component_clause,[status(thm)],[f471])).
% 0.16/0.35 fof(f474,plain,(
% 0.16/0.35 spl0_5 <=> ~v1_funct_1(X0)|~v1_funct_2(X0,u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~v5_pre_topc(X0,sk0_0,sk0_1)|~m2_relset_1(X0,u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~v3_borsuk_1(X0,sk0_0,sk0_1)),
% 0.16/0.35 introduced(split_symbol_definition)).
% 0.16/0.35 fof(f475,plain,(
% 0.16/0.35 ![X0]: (~v1_funct_1(X0)|~v1_funct_2(X0,u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~v5_pre_topc(X0,sk0_0,sk0_1)|~m2_relset_1(X0,u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~v3_borsuk_1(X0,sk0_0,sk0_1)|~spl0_5)),
% 0.16/0.35 inference(component_clause,[status(thm)],[f474])).
% 0.16/0.35 fof(f477,plain,(
% 0.16/0.35 spl0_6 <=> m2_tsp_1(sk0_1,sk0_0)),
% 0.16/0.35 introduced(split_symbol_definition)).
% 0.16/0.35 fof(f479,plain,(
% 0.16/0.35 ~m2_tsp_1(sk0_1,sk0_0)|spl0_6),
% 0.16/0.35 inference(component_clause,[status(thm)],[f477])).
% 0.16/0.35 fof(f480,plain,(
% 0.16/0.35 ![X0]: (v3_struct_0(sk0_1)|~v1_funct_1(X0)|~v1_funct_2(X0,u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~v5_pre_topc(X0,sk0_0,sk0_1)|~m2_relset_1(X0,u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~v3_borsuk_1(X0,sk0_0,sk0_1)|~m2_tsp_1(sk0_1,sk0_0)|~spl0_3)),
% 0.16/0.35 inference(resolution,[status(thm)],[f467,f105])).
% 0.16/0.35 fof(f481,plain,(
% 0.16/0.35 spl0_4|spl0_5|~spl0_6|~spl0_3),
% 0.16/0.35 inference(split_clause,[status(thm)],[f480,f471,f474,f477,f466])).
% 0.16/0.35 fof(f482,plain,(
% 0.16/0.35 $false|spl0_6),
% 0.16/0.35 inference(forward_subsumption_resolution,[status(thm)],[f479,f104])).
% 0.16/0.35 fof(f483,plain,(
% 0.16/0.35 spl0_6),
% 0.16/0.35 inference(contradiction_clause,[status(thm)],[f482])).
% 0.16/0.35 fof(f484,plain,(
% 0.16/0.35 $false|~spl0_4),
% 0.16/0.35 inference(forward_subsumption_resolution,[status(thm)],[f472,f102])).
% 0.16/0.35 fof(f485,plain,(
% 0.16/0.35 ~spl0_4),
% 0.16/0.35 inference(contradiction_clause,[status(thm)],[f484])).
% 0.16/0.35 fof(f486,plain,(
% 0.16/0.35 spl0_7 <=> v1_funct_1(sk0_22(sk0_1,sk0_0))),
% 0.16/0.35 introduced(split_symbol_definition)).
% 0.16/0.35 fof(f488,plain,(
% 0.16/0.35 ~v1_funct_1(sk0_22(sk0_1,sk0_0))|spl0_7),
% 0.16/0.35 inference(component_clause,[status(thm)],[f486])).
% 0.16/0.35 fof(f489,plain,(
% 0.16/0.35 spl0_8 <=> v5_pre_topc(sk0_22(sk0_1,sk0_0),sk0_0,sk0_1)),
% 0.16/0.35 introduced(split_symbol_definition)).
% 0.16/0.35 fof(f491,plain,(
% 0.16/0.35 ~v5_pre_topc(sk0_22(sk0_1,sk0_0),sk0_0,sk0_1)|spl0_8),
% 0.16/0.35 inference(component_clause,[status(thm)],[f489])).
% 0.16/0.35 fof(f492,plain,(
% 0.16/0.35 spl0_9 <=> m2_relset_1(sk0_22(sk0_1,sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 0.16/0.35 introduced(split_symbol_definition)).
% 0.16/0.35 fof(f494,plain,(
% 0.16/0.36 ~m2_relset_1(sk0_22(sk0_1,sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|spl0_9),
% 0.16/0.36 inference(component_clause,[status(thm)],[f492])).
% 0.16/0.36 fof(f495,plain,(
% 0.16/0.36 spl0_10 <=> v3_borsuk_1(sk0_22(sk0_1,sk0_0),sk0_0,sk0_1)),
% 0.16/0.36 introduced(split_symbol_definition)).
% 0.16/0.36 fof(f497,plain,(
% 0.16/0.36 ~v3_borsuk_1(sk0_22(sk0_1,sk0_0),sk0_0,sk0_1)|spl0_10),
% 0.16/0.36 inference(component_clause,[status(thm)],[f495])).
% 0.16/0.36 fof(f498,plain,(
% 0.16/0.36 spl0_11 <=> v2_pre_topc(sk0_0)),
% 0.16/0.36 introduced(split_symbol_definition)).
% 0.16/0.36 fof(f500,plain,(
% 0.16/0.36 ~v2_pre_topc(sk0_0)|spl0_11),
% 0.16/0.36 inference(component_clause,[status(thm)],[f498])).
% 0.16/0.36 fof(f501,plain,(
% 0.16/0.36 spl0_12 <=> v2_tsp_2(sk0_1,sk0_0)),
% 0.16/0.36 introduced(split_symbol_definition)).
% 0.16/0.36 fof(f503,plain,(
% 0.16/0.36 ~v2_tsp_2(sk0_1,sk0_0)|spl0_12),
% 0.16/0.36 inference(component_clause,[status(thm)],[f501])).
% 0.16/0.36 fof(f504,plain,(
% 0.16/0.36 ~v1_funct_1(sk0_22(sk0_1,sk0_0))|~v5_pre_topc(sk0_22(sk0_1,sk0_0),sk0_0,sk0_1)|~m2_relset_1(sk0_22(sk0_1,sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_1))|~v3_borsuk_1(sk0_22(sk0_1,sk0_0),sk0_0,sk0_1)|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)|~spl0_5),
% 0.16/0.36 inference(resolution,[status(thm)],[f475,f414])).
% 0.16/0.36 fof(f505,plain,(
% 0.16/0.36 ~spl0_7|~spl0_8|~spl0_9|~spl0_10|spl0_0|~spl0_11|~spl0_1|spl0_4|~spl0_12|~spl0_6|~spl0_5),
% 0.16/0.36 inference(split_clause,[status(thm)],[f504,f486,f489,f492,f495,f451,f498,f454,f471,f501,f477,f474])).
% 0.16/0.36 fof(f546,plain,(
% 0.16/0.36 $false|spl0_12),
% 0.16/0.36 inference(forward_subsumption_resolution,[status(thm)],[f503,f103])).
% 0.16/0.36 fof(f547,plain,(
% 0.16/0.36 spl0_12),
% 0.16/0.36 inference(contradiction_clause,[status(thm)],[f546])).
% 0.16/0.36 fof(f550,plain,(
% 0.16/0.36 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)|spl0_7),
% 0.16/0.36 inference(resolution,[status(thm)],[f488,f413])).
% 0.16/0.36 fof(f551,plain,(
% 0.16/0.36 spl0_0|~spl0_11|~spl0_1|spl0_4|~spl0_12|~spl0_6|spl0_7),
% 0.16/0.36 inference(split_clause,[status(thm)],[f550,f451,f498,f454,f471,f501,f477,f486])).
% 0.16/0.36 fof(f552,plain,(
% 0.16/0.36 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)|spl0_8),
% 0.16/0.36 inference(resolution,[status(thm)],[f491,f415])).
% 0.16/0.36 fof(f553,plain,(
% 0.16/0.36 spl0_0|~spl0_11|~spl0_1|spl0_4|~spl0_12|~spl0_6|spl0_8),
% 0.16/0.36 inference(split_clause,[status(thm)],[f552,f451,f498,f454,f471,f501,f477,f489])).
% 0.16/0.36 fof(f556,plain,(
% 0.16/0.36 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)|spl0_10),
% 0.16/0.36 inference(resolution,[status(thm)],[f497,f417])).
% 0.16/0.36 fof(f557,plain,(
% 0.16/0.36 spl0_0|~spl0_11|~spl0_1|spl0_4|~spl0_12|~spl0_6|spl0_10),
% 0.16/0.36 inference(split_clause,[status(thm)],[f556,f451,f498,f454,f471,f501,f477,f495])).
% 0.16/0.36 fof(f566,plain,(
% 0.16/0.36 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)|spl0_9),
% 0.16/0.36 inference(resolution,[status(thm)],[f494,f416])).
% 0.16/0.36 fof(f567,plain,(
% 0.16/0.36 spl0_0|~spl0_11|~spl0_1|spl0_4|~spl0_12|~spl0_6|spl0_9),
% 0.16/0.36 inference(split_clause,[status(thm)],[f566,f451,f498,f454,f471,f501,f477,f492])).
% 0.16/0.36 fof(f568,plain,(
% 0.16/0.36 $false|spl0_11),
% 0.16/0.36 inference(forward_subsumption_resolution,[status(thm)],[f500,f100])).
% 0.16/0.36 fof(f569,plain,(
% 0.16/0.36 spl0_11),
% 0.16/0.36 inference(contradiction_clause,[status(thm)],[f568])).
% 0.16/0.36 fof(f570,plain,(
% 0.16/0.36 $false),
% 0.16/0.36 inference(sat_refutation,[status(thm)],[f461,f463,f465,f470,f481,f483,f485,f505,f547,f551,f553,f557,f567,f569])).
% 0.16/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.37 % Elapsed time: 0.046141 seconds
% 0.16/0.37 % CPU time: 0.216835 seconds
% 0.16/0.37 % Total memory used: 53.386 MB
% 0.16/0.37 % Net memory used: 53.165 MB
%------------------------------------------------------------------------------