TSTP Solution File: LAT300+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:25:42 EDT 2024
% Result : Theorem 0.10s 0.35s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n011.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 20:03:01 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.10/0.35 % Refutation found
% 0.10/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.35 fof(f1,conjecture,(
% 0.10/0.35 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_filter_2(B,A)=> (? [C] :( m1_subset_1(C,u1_struct_0(A))& r2_hidden(C,B) ) )) )) )),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f2,negated_conjecture,(
% 0.10/0.35 ~((! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_filter_2(B,A)=> (? [C] :( m1_subset_1(C,u1_struct_0(A))& r2_hidden(C,B) ) )) )) ))),
% 0.10/0.35 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.35 fof(f15,axiom,(
% 0.10/0.35 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_filter_2(B,A)=> ( ~ v1_xboole_0(B)& m2_lattice4(B,A) ) ) )) )),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f16,axiom,(
% 0.10/0.35 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_lattice4(B,A)=> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) )) )),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f23,axiom,(
% 0.10/0.35 (! [A] :(? [B] : m1_subset_1(B,A) ))),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f39,axiom,(
% 0.10/0.35 (! [A,B] :( m1_subset_1(A,B)=> ( v1_xboole_0(B)| r2_hidden(A,B) ) ) )),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f41,axiom,(
% 0.10/0.35 (! [A,B,C] :( ( r2_hidden(A,B)& m1_subset_1(B,k1_zfmisc_1(C)) )=> m1_subset_1(A,C) ) )),
% 0.10/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.35 fof(f46,plain,(
% 0.10/0.35 (?[A]: (((~v3_struct_0(A)&v10_lattices(A))&l3_lattices(A))&(?[B]: (m2_filter_2(B,A)&(![C]: (~m1_subset_1(C,u1_struct_0(A))|~r2_hidden(C,B)))))))),
% 0.10/0.35 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.10/0.35 fof(f47,plain,(
% 0.10/0.35 (((~v3_struct_0(sk0_0)&v10_lattices(sk0_0))&l3_lattices(sk0_0))&(m2_filter_2(sk0_1,sk0_0)&(![C]: (~m1_subset_1(C,u1_struct_0(sk0_0))|~r2_hidden(C,sk0_1)))))),
% 0.10/0.35 inference(skolemization,[status(esa)],[f46])).
% 0.10/0.35 fof(f48,plain,(
% 0.10/0.35 ~v3_struct_0(sk0_0)),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f47])).
% 0.10/0.35 fof(f49,plain,(
% 0.10/0.35 v10_lattices(sk0_0)),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f47])).
% 0.10/0.35 fof(f50,plain,(
% 0.10/0.35 l3_lattices(sk0_0)),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f47])).
% 0.10/0.35 fof(f51,plain,(
% 0.10/0.35 m2_filter_2(sk0_1,sk0_0)),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f47])).
% 0.10/0.35 fof(f52,plain,(
% 0.10/0.35 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~r2_hidden(X0,sk0_1))),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f47])).
% 0.10/0.35 fof(f77,plain,(
% 0.10/0.35 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m2_filter_2(B,A)|(~v1_xboole_0(B)&m2_lattice4(B,A)))))),
% 0.10/0.35 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.10/0.35 fof(f78,plain,(
% 0.10/0.35 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_filter_2(X1,X0)|~v1_xboole_0(X1))),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f77])).
% 0.10/0.35 fof(f79,plain,(
% 0.10/0.35 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_filter_2(X1,X0)|m2_lattice4(X1,X0))),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f77])).
% 0.10/0.35 fof(f80,plain,(
% 0.10/0.35 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m2_lattice4(B,A)|m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))),
% 0.10/0.35 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.10/0.35 fof(f81,plain,(
% 0.10/0.35 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_lattice4(X1,X0)|m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))))),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f80])).
% 0.10/0.35 fof(f93,plain,(
% 0.10/0.35 ![A]: m1_subset_1(sk0_7(A),A)),
% 0.10/0.35 inference(skolemization,[status(esa)],[f23])).
% 0.10/0.35 fof(f94,plain,(
% 0.10/0.35 ![X0]: (m1_subset_1(sk0_7(X0),X0))),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f93])).
% 0.10/0.35 fof(f136,plain,(
% 0.10/0.35 ![A,B]: (~m1_subset_1(A,B)|(v1_xboole_0(B)|r2_hidden(A,B)))),
% 0.10/0.35 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 0.10/0.35 fof(f137,plain,(
% 0.10/0.35 ![X0,X1]: (~m1_subset_1(X0,X1)|v1_xboole_0(X1)|r2_hidden(X0,X1))),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f136])).
% 0.10/0.35 fof(f142,plain,(
% 0.10/0.35 ![A,B,C]: ((~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C)))|m1_subset_1(A,C))),
% 0.10/0.35 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.10/0.35 fof(f143,plain,(
% 0.10/0.35 ![A,C]: ((![B]: (~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C))))|m1_subset_1(A,C))),
% 0.10/0.35 inference(miniscoping,[status(esa)],[f142])).
% 0.10/0.35 fof(f144,plain,(
% 0.10/0.35 ![X0,X1,X2]: (~r2_hidden(X0,X1)|~m1_subset_1(X1,k1_zfmisc_1(X2))|m1_subset_1(X0,X2))),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f143])).
% 0.10/0.35 fof(f156,plain,(
% 0.10/0.35 spl0_0 <=> v3_struct_0(sk0_0)),
% 0.10/0.35 introduced(split_symbol_definition)).
% 0.10/0.35 fof(f157,plain,(
% 0.10/0.35 v3_struct_0(sk0_0)|~spl0_0),
% 0.10/0.35 inference(component_clause,[status(thm)],[f156])).
% 0.10/0.35 fof(f159,plain,(
% 0.10/0.35 spl0_1 <=> v10_lattices(sk0_0)),
% 0.10/0.35 introduced(split_symbol_definition)).
% 0.10/0.35 fof(f161,plain,(
% 0.10/0.35 ~v10_lattices(sk0_0)|spl0_1),
% 0.10/0.35 inference(component_clause,[status(thm)],[f159])).
% 0.10/0.35 fof(f162,plain,(
% 0.10/0.35 spl0_2 <=> l3_lattices(sk0_0)),
% 0.10/0.35 introduced(split_symbol_definition)).
% 0.10/0.35 fof(f164,plain,(
% 0.10/0.35 ~l3_lattices(sk0_0)|spl0_2),
% 0.10/0.35 inference(component_clause,[status(thm)],[f162])).
% 0.10/0.35 fof(f165,plain,(
% 0.10/0.35 spl0_3 <=> v1_xboole_0(sk0_1)),
% 0.10/0.35 introduced(split_symbol_definition)).
% 0.10/0.35 fof(f167,plain,(
% 0.10/0.35 ~v1_xboole_0(sk0_1)|spl0_3),
% 0.10/0.35 inference(component_clause,[status(thm)],[f165])).
% 0.10/0.35 fof(f168,plain,(
% 0.10/0.35 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|~v1_xboole_0(sk0_1)),
% 0.10/0.35 inference(resolution,[status(thm)],[f78,f51])).
% 0.10/0.35 fof(f169,plain,(
% 0.10/0.35 spl0_0|~spl0_1|~spl0_2|~spl0_3),
% 0.10/0.35 inference(split_clause,[status(thm)],[f168,f156,f159,f162,f165])).
% 0.10/0.35 fof(f170,plain,(
% 0.10/0.35 spl0_4 <=> m2_lattice4(sk0_1,sk0_0)),
% 0.10/0.35 introduced(split_symbol_definition)).
% 0.10/0.35 fof(f171,plain,(
% 0.10/0.35 m2_lattice4(sk0_1,sk0_0)|~spl0_4),
% 0.10/0.35 inference(component_clause,[status(thm)],[f170])).
% 0.10/0.35 fof(f173,plain,(
% 0.10/0.35 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|m2_lattice4(sk0_1,sk0_0)),
% 0.10/0.35 inference(resolution,[status(thm)],[f79,f51])).
% 0.10/0.35 fof(f174,plain,(
% 0.10/0.35 spl0_0|~spl0_1|~spl0_2|spl0_4),
% 0.10/0.35 inference(split_clause,[status(thm)],[f173,f156,f159,f162,f170])).
% 0.10/0.35 fof(f175,plain,(
% 0.10/0.35 $false|spl0_2),
% 0.10/0.35 inference(forward_subsumption_resolution,[status(thm)],[f164,f50])).
% 0.10/0.35 fof(f176,plain,(
% 0.10/0.35 spl0_2),
% 0.10/0.35 inference(contradiction_clause,[status(thm)],[f175])).
% 0.10/0.35 fof(f177,plain,(
% 0.10/0.35 $false|spl0_1),
% 0.10/0.35 inference(forward_subsumption_resolution,[status(thm)],[f161,f49])).
% 0.10/0.35 fof(f178,plain,(
% 0.10/0.35 spl0_1),
% 0.10/0.35 inference(contradiction_clause,[status(thm)],[f177])).
% 0.10/0.35 fof(f179,plain,(
% 0.10/0.35 $false|~spl0_0),
% 0.10/0.35 inference(forward_subsumption_resolution,[status(thm)],[f157,f48])).
% 0.10/0.35 fof(f180,plain,(
% 0.10/0.35 ~spl0_0),
% 0.10/0.35 inference(contradiction_clause,[status(thm)],[f179])).
% 0.10/0.35 fof(f201,plain,(
% 0.10/0.35 ![X0]: (v1_xboole_0(X0)|r2_hidden(sk0_7(X0),X0))),
% 0.10/0.35 inference(resolution,[status(thm)],[f94,f137])).
% 0.10/0.35 fof(f207,plain,(
% 0.10/0.35 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_lattice4(X1,X0)|~r2_hidden(X2,X1)|m1_subset_1(X2,u1_struct_0(X0)))),
% 0.10/0.35 inference(resolution,[status(thm)],[f81,f144])).
% 0.10/0.35 fof(f264,plain,(
% 0.10/0.35 spl0_17 <=> ~m2_lattice4(X0,sk0_0)|~r2_hidden(X1,X0)|~r2_hidden(X1,sk0_1)),
% 0.10/0.35 introduced(split_symbol_definition)).
% 0.10/0.35 fof(f265,plain,(
% 0.10/0.35 ![X0,X1]: (~m2_lattice4(X0,sk0_0)|~r2_hidden(X1,X0)|~r2_hidden(X1,sk0_1)|~spl0_17)),
% 0.10/0.35 inference(component_clause,[status(thm)],[f264])).
% 0.10/0.35 fof(f267,plain,(
% 0.10/0.35 ![X0,X1]: (v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|~m2_lattice4(X0,sk0_0)|~r2_hidden(X1,X0)|~r2_hidden(X1,sk0_1))),
% 0.10/0.35 inference(resolution,[status(thm)],[f207,f52])).
% 0.10/0.35 fof(f268,plain,(
% 0.10/0.35 spl0_0|~spl0_1|~spl0_2|spl0_17),
% 0.10/0.35 inference(split_clause,[status(thm)],[f267,f156,f159,f162,f264])).
% 0.10/0.35 fof(f271,plain,(
% 0.10/0.35 ![X0]: (~r2_hidden(X0,sk0_1)|~r2_hidden(X0,sk0_1)|~spl0_17|~spl0_4)),
% 0.10/0.35 inference(resolution,[status(thm)],[f265,f171])).
% 0.10/0.35 fof(f272,plain,(
% 0.10/0.35 ![X0]: (~r2_hidden(X0,sk0_1)|~spl0_17|~spl0_4)),
% 0.10/0.35 inference(duplicate_literals_removal,[status(esa)],[f271])).
% 0.10/0.35 fof(f288,plain,(
% 0.10/0.35 v1_xboole_0(sk0_1)|~spl0_17|~spl0_4),
% 0.10/0.35 inference(resolution,[status(thm)],[f272,f201])).
% 0.10/0.35 fof(f289,plain,(
% 0.10/0.35 $false|spl0_3|~spl0_17|~spl0_4),
% 0.10/0.35 inference(forward_subsumption_resolution,[status(thm)],[f288,f167])).
% 0.10/0.35 fof(f290,plain,(
% 0.10/0.35 spl0_3|~spl0_17|~spl0_4),
% 0.10/0.35 inference(contradiction_clause,[status(thm)],[f289])).
% 0.10/0.35 fof(f291,plain,(
% 0.10/0.35 $false),
% 0.10/0.35 inference(sat_refutation,[status(thm)],[f169,f174,f176,f178,f180,f268,f290])).
% 0.10/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.36 % Elapsed time: 0.029707 seconds
% 0.10/0.36 % CPU time: 0.082184 seconds
% 0.10/0.36 % Total memory used: 22.191 MB
% 0.10/0.36 % Net memory used: 22.042 MB
%------------------------------------------------------------------------------