%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT303+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:03:35 PM UTC 2026
% Result : Theorem 0.09s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT303+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 23:31:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.52 % Refutation found
% 0.09/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.52 fof(f1,conjecture,(
% 0.09/0.52 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> ( m2_filter_2(k6_domain_1(u1_struct_0(A),B),A)=> v13_lattices(A) ) ) )) )),
% 0.09/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.52 fof(f2,negated_conjecture,(
% 0.09/0.52 ~((! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> ( m2_filter_2(k6_domain_1(u1_struct_0(A),B),A)=> v13_lattices(A) ) ) )) ))),
% 0.09/0.52 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.52 fof(f14,axiom,(
% 0.09/0.52 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> k5_filter_2(A,B) = B ) )) )),
% 0.09/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.52 fof(f16,axiom,(
% 0.09/0.52 (! [A] :( l3_lattices(A)=> ( v3_lattices(k1_lattice2(A))& l3_lattices(k1_lattice2(A)) ) ) )),
% 0.09/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.52 fof(f21,axiom,(
% 0.09/0.52 (! [A,B] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A)& m1_subset_1(B,u1_struct_0(A)) )=> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))) ) )),
% 0.09/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.52 fof(f23,axiom,(
% 0.09/0.52 (! [A] :( l1_lattices(A)=> l1_struct_0(A) ) )),
% 0.09/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.52 fof(f26,axiom,(
% 0.09/0.52 (! [A] :( l3_lattices(A)=> ( l1_lattices(A)& l2_lattices(A) ) ) )),
% 0.09/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.52 fof(f48,axiom,(
% 0.09/0.52 (! [A] :( ( ~ v3_struct_0(A)& l3_lattices(A) )=> ( ~ v3_struct_0(k1_lattice2(A))& v3_lattices(k1_lattice2(A)) ) ) )),
% 0.09/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.52 fof(f49,axiom,(
% 0.09/0.52 (! [A] :( ( ~ v3_struct_0(A)& l1_struct_0(A) )=> ~ v1_xboole_0(u1_struct_0(A)) ) )),
% 0.09/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.52 fof(f60,axiom,(
% 0.09/0.52 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> ( ~ v3_struct_0(k1_lattice2(A))& v3_lattices(k1_lattice2(A))& v4_lattices(k1_lattice2(A))& v5_lattices(k1_lattice2(A))& v6_lattices(k1_lattice2(A))& v7_lattices(k1_lattice2(A))& v8_lattices(k1_lattice2(A))& v9_lattices(k1_lattice2(A))& v10_lattices(k1_lattice2(A)) ) ) )),
% 0.09/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.52 fof(f78,axiom,(
% 0.09/0.52 (! [A,B] :( ( ~ v1_xboole_0(A)& m1_subset_1(B,A) )=> k6_domain_1(A,B) = k1_tarski(B) ) )),
% 0.09/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.52 fof(f79,axiom,(
% 0.09/0.52 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_filter_2(B,A)<=> m1_filter_0(B,A) ) )) )),
% 0.09/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.52 fof(f82,axiom,(
% 0.09/0.52 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> ( m1_filter_0(k6_domain_1(u1_struct_0(A),B),A)=> v14_lattices(A) ) ) )) )),
% 0.09/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.52 fof(f84,axiom,(
% 0.09/0.52 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_filter_2(B,A)<=> m1_filter_2(B,k1_lattice2(A)) ) )) )),
% 0.09/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.52 fof(f89,axiom,(
% 0.09/0.52 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> ( v13_lattices(A)<=> v14_lattices(k1_lattice2(A)) ) ) )),
% 0.09/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.52 fof(f93,plain,(
% 0.09/0.52 (?[A]: (((~v3_struct_0(A)&v10_lattices(A))&l3_lattices(A))&(?[B]: (m1_subset_1(B,u1_struct_0(A))&(m2_filter_2(k6_domain_1(u1_struct_0(A),B),A)&~v13_lattices(A))))))),
% 0.09/0.52 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.52 fof(f94,plain,(
% 0.09/0.52 (((~v3_struct_0(sK0_skl)&v10_lattices(sK0_skl))&l3_lattices(sK0_skl))&(m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))&(m2_filter_2(k6_domain_1(u1_struct_0(sK0_skl),sK1_skl),sK0_skl)&~v13_lattices(sK0_skl))))),
% 0.09/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f93])).
% 0.09/0.52 fof(f95,plain,(
% 0.09/0.52 ~v3_struct_0(sK0_skl)),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f94])).
% 0.09/0.52 fof(f96,plain,(
% 0.09/0.52 v10_lattices(sK0_skl)),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f94])).
% 0.09/0.52 fof(f97,plain,(
% 0.09/0.52 l3_lattices(sK0_skl)),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f94])).
% 0.09/0.52 fof(f98,plain,(
% 0.09/0.52 m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f94])).
% 0.09/0.52 fof(f99,plain,(
% 0.09/0.52 m2_filter_2(k6_domain_1(u1_struct_0(sK0_skl),sK1_skl),sK0_skl)),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f94])).
% 0.09/0.52 fof(f100,plain,(
% 0.09/0.52 ~v13_lattices(sK0_skl)),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f94])).
% 0.09/0.52 fof(f136,plain,(
% 0.09/0.52 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|k5_filter_2(A,B)=B)))),
% 0.09/0.52 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.09/0.52 fof(f137,plain,(
% 0.09/0.52 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|k5_filter_2(X0,X1)=X1)),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f136])).
% 0.09/0.52 fof(f141,plain,(
% 0.09/0.52 ![A]: (~l3_lattices(A)|(v3_lattices(k1_lattice2(A))&l3_lattices(k1_lattice2(A))))),
% 0.09/0.52 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.09/0.52 fof(f143,plain,(
% 0.09/0.52 ![X0]: (~l3_lattices(X0)|l3_lattices(k1_lattice2(X0)))),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f141])).
% 0.09/0.52 fof(f144,plain,(
% 0.09/0.52 ![A,B]: ((((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|~m1_subset_1(B,u1_struct_0(A)))|m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))))),
% 0.09/0.52 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.09/0.52 fof(f145,plain,(
% 0.09/0.52 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0))))),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f144])).
% 0.09/0.52 fof(f148,plain,(
% 0.09/0.52 ![A]: (~l1_lattices(A)|l1_struct_0(A))),
% 0.09/0.52 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.09/0.52 fof(f149,plain,(
% 0.09/0.52 ![X0]: (~l1_lattices(X0)|l1_struct_0(X0))),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f148])).
% 0.09/0.52 fof(f152,plain,(
% 0.09/0.52 ![A]: (~l3_lattices(A)|(l1_lattices(A)&l2_lattices(A)))),
% 0.09/0.52 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.09/0.52 fof(f153,plain,(
% 0.09/0.52 ![X0]: (~l3_lattices(X0)|l1_lattices(X0))),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f152])).
% 0.09/0.52 fof(f202,plain,(
% 0.09/0.52 ![A]: ((v3_struct_0(A)|~l3_lattices(A))|(~v3_struct_0(k1_lattice2(A))&v3_lattices(k1_lattice2(A))))),
% 0.09/0.52 inference(pre_NNF_transformation,[status(thm)],[f48])).
% 0.09/0.52 fof(f203,plain,(
% 0.09/0.52 ![X0]: (v3_struct_0(X0)|~l3_lattices(X0)|~v3_struct_0(k1_lattice2(X0)))),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f202])).
% 0.09/0.52 fof(f205,plain,(
% 0.09/0.52 ![A]: ((v3_struct_0(A)|~l1_struct_0(A))|~v1_xboole_0(u1_struct_0(A)))),
% 0.09/0.52 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.09/0.52 fof(f206,plain,(
% 0.09/0.52 ![X0]: (v3_struct_0(X0)|~l1_struct_0(X0)|~v1_xboole_0(u1_struct_0(X0)))),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f205])).
% 0.09/0.52 fof(f243,plain,(
% 0.09/0.52 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|((((((((~v3_struct_0(k1_lattice2(A))&v3_lattices(k1_lattice2(A)))&v4_lattices(k1_lattice2(A)))&v5_lattices(k1_lattice2(A)))&v6_lattices(k1_lattice2(A)))&v7_lattices(k1_lattice2(A)))&v8_lattices(k1_lattice2(A)))&v9_lattices(k1_lattice2(A)))&v10_lattices(k1_lattice2(A))))),
% 0.09/0.52 inference(pre_NNF_transformation,[status(thm)],[f60])).
% 0.09/0.52 fof(f252,plain,(
% 0.09/0.52 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v10_lattices(k1_lattice2(X0)))),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f243])).
% 0.09/0.52 fof(f328,plain,(
% 0.09/0.52 ![A,B]: ((v1_xboole_0(A)|~m1_subset_1(B,A))|k6_domain_1(A,B)=k1_tarski(B))),
% 0.09/0.52 inference(pre_NNF_transformation,[status(thm)],[f78])).
% 0.09/0.52 fof(f329,plain,(
% 0.09/0.52 ![X0,X1]: (v1_xboole_0(X0)|~m1_subset_1(X1,X0)|k6_domain_1(X0,X1)=k1_tarski(X1))),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f328])).
% 0.09/0.52 fof(f330,plain,(
% 0.09/0.52 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (m1_filter_2(B,A)<=>m1_filter_0(B,A))))),
% 0.09/0.52 inference(pre_NNF_transformation,[status(thm)],[f79])).
% 0.09/0.52 fof(f331,plain,(
% 0.09/0.52 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: ((~m1_filter_2(B,A)|m1_filter_0(B,A))&(m1_filter_2(B,A)|~m1_filter_0(B,A)))))),
% 0.09/0.52 inference(NNF_transformation,[status(thm)],[f330])).
% 0.09/0.52 fof(f332,plain,(
% 0.09/0.52 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|((![B]: (~m1_filter_2(B,A)|m1_filter_0(B,A)))&(![B]: (m1_filter_2(B,A)|~m1_filter_0(B,A)))))),
% 0.09/0.52 inference(miniscoping,[status(thm)],[f331])).
% 0.09/0.52 fof(f333,plain,(
% 0.09/0.52 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_filter_2(X1,X0)|m1_filter_0(X1,X0))),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f332])).
% 0.09/0.52 fof(f341,plain,(
% 0.09/0.52 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(~m1_filter_0(k6_domain_1(u1_struct_0(A),B),A)|v14_lattices(A)))))),
% 0.09/0.52 inference(pre_NNF_transformation,[status(thm)],[f82])).
% 0.09/0.52 fof(f342,plain,(
% 0.09/0.52 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_filter_0(k6_domain_1(u1_struct_0(X0),X1),X0)|v14_lattices(X0))),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f341])).
% 0.09/0.52 fof(f345,plain,(
% 0.09/0.52 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (m2_filter_2(B,A)<=>m1_filter_2(B,k1_lattice2(A)))))),
% 0.09/0.52 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 0.09/0.52 fof(f346,plain,(
% 0.09/0.52 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: ((~m2_filter_2(B,A)|m1_filter_2(B,k1_lattice2(A)))&(m2_filter_2(B,A)|~m1_filter_2(B,k1_lattice2(A))))))),
% 0.09/0.52 inference(NNF_transformation,[status(thm)],[f345])).
% 0.09/0.52 fof(f347,plain,(
% 0.09/0.52 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|((![B]: (~m2_filter_2(B,A)|m1_filter_2(B,k1_lattice2(A))))&(![B]: (m2_filter_2(B,A)|~m1_filter_2(B,k1_lattice2(A))))))),
% 0.09/0.52 inference(miniscoping,[status(thm)],[f346])).
% 0.09/0.52 fof(f348,plain,(
% 0.09/0.52 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_filter_2(X1,X0)|m1_filter_2(X1,k1_lattice2(X0)))),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f347])).
% 0.09/0.52 fof(f362,plain,(
% 0.09/0.52 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(v13_lattices(A)<=>v14_lattices(k1_lattice2(A))))),
% 0.09/0.52 inference(pre_NNF_transformation,[status(thm)],[f89])).
% 0.09/0.52 fof(f363,plain,(
% 0.09/0.52 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|((~v13_lattices(A)|v14_lattices(k1_lattice2(A)))&(v13_lattices(A)|~v14_lattices(k1_lattice2(A)))))),
% 0.09/0.52 inference(NNF_transformation,[status(thm)],[f362])).
% 0.09/0.52 fof(f365,plain,(
% 0.09/0.52 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v13_lattices(X0)|~v14_lattices(k1_lattice2(X0)))),
% 0.09/0.52 inference(cnf_transformation,[status(thm)],[f363])).
% 0.09/0.52 fof(f376,definition,(
% 0.09/0.52 sQ0_spl <=> (v1_xboole_0(u1_struct_0(sK0_skl)))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f377,plain,(
% 0.09/0.52 v1_xboole_0(u1_struct_0(sK0_skl))|~sQ0_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f376])).
% 0.09/0.52 fof(f384,definition,(
% 0.09/0.52 sQ2_spl <=> (v3_struct_0(sK0_skl))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f385,plain,(
% 0.09/0.52 v3_struct_0(sK0_skl)|~sQ2_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f384])).
% 0.09/0.52 fof(f387,definition,(
% 0.09/0.52 sQ3_spl <=> (v10_lattices(sK0_skl))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f389,plain,(
% 0.09/0.52 ~v10_lattices(sK0_skl)|sQ3_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f387])).
% 0.09/0.52 fof(f390,definition,(
% 0.09/0.52 sQ4_spl <=> (l3_lattices(sK0_skl))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f392,plain,(
% 0.09/0.52 ~l3_lattices(sK0_skl)|sQ4_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f390])).
% 0.09/0.52 fof(f402,plain,(
% 0.09/0.52 $false|sQ3_spl),
% 0.09/0.52 inference(forward_subsumption_resolution,[status(thm)],[f389,f96])).
% 0.09/0.52 fof(f403,plain,(
% 0.09/0.52 sQ3_spl),
% 0.09/0.52 inference(contradiction_clause,[status(thm)],[f402])).
% 0.09/0.52 fof(f404,plain,(
% 0.09/0.52 $false|~sQ2_spl),
% 0.09/0.52 inference(forward_subsumption_resolution,[status(thm)],[f385,f95])).
% 0.09/0.52 fof(f405,plain,(
% 0.09/0.52 ~sQ2_spl),
% 0.09/0.52 inference(contradiction_clause,[status(thm)],[f404])).
% 0.09/0.52 fof(f406,plain,(
% 0.09/0.52 $false|sQ4_spl),
% 0.09/0.52 inference(forward_subsumption_resolution,[status(thm)],[f392,f97])).
% 0.09/0.52 fof(f407,plain,(
% 0.09/0.52 sQ4_spl),
% 0.09/0.52 inference(contradiction_clause,[status(thm)],[f406])).
% 0.09/0.52 fof(f419,plain,(
% 0.09/0.52 v1_xboole_0(u1_struct_0(sK0_skl))|k6_domain_1(u1_struct_0(sK0_skl),sK1_skl)=k1_tarski(sK1_skl)),
% 0.09/0.52 inference(resolution,[status(thm)],[f329,f98])).
% 0.09/0.52 fof(f420,definition,(
% 0.09/0.52 sQ9_spl <=> (k6_domain_1(u1_struct_0(sK0_skl),sK1_skl)=k1_tarski(sK1_skl))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f421,plain,(
% 0.09/0.52 k6_domain_1(u1_struct_0(sK0_skl),sK1_skl)=k1_tarski(sK1_skl)|~sQ9_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f420])).
% 0.09/0.52 fof(f423,plain,(
% 0.09/0.52 sQ0_spl|sQ9_spl),
% 0.09/0.52 inference(split_clause,[status(thm)],[f419,f376,f420])).
% 0.09/0.52 fof(f424,plain,(
% 0.09/0.52 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|m1_filter_2(k6_domain_1(u1_struct_0(sK0_skl),sK1_skl),k1_lattice2(sK0_skl))),
% 0.09/0.52 inference(resolution,[status(thm)],[f348,f99])).
% 0.09/0.52 fof(f425,definition,(
% 0.09/0.52 sQ10_spl <=> (m1_filter_2(k6_domain_1(u1_struct_0(sK0_skl),sK1_skl),k1_lattice2(sK0_skl)))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f426,plain,(
% 0.09/0.52 m1_filter_2(k6_domain_1(u1_struct_0(sK0_skl),sK1_skl),k1_lattice2(sK0_skl))|~sQ10_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f425])).
% 0.09/0.52 fof(f428,plain,(
% 0.09/0.52 sQ2_spl|~sQ3_spl|~sQ4_spl|sQ10_spl),
% 0.09/0.52 inference(split_clause,[status(thm)],[f424,f384,f387,f390,f425])).
% 0.09/0.52 fof(f602,plain,(
% 0.09/0.52 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|k5_filter_2(sK0_skl,sK1_skl)=sK1_skl),
% 0.09/0.52 inference(resolution,[status(thm)],[f137,f98])).
% 0.09/0.52 fof(f603,definition,(
% 0.09/0.52 sQ42_spl <=> (k5_filter_2(sK0_skl,sK1_skl)=sK1_skl)),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f604,plain,(
% 0.09/0.52 k5_filter_2(sK0_skl,sK1_skl)=sK1_skl|~sQ42_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f603])).
% 0.09/0.52 fof(f606,plain,(
% 0.09/0.52 sQ2_spl|~sQ3_spl|~sQ4_spl|sQ42_spl),
% 0.09/0.52 inference(split_clause,[status(thm)],[f602,f384,f387,f390,f603])).
% 0.09/0.52 fof(f608,definition,(
% 0.09/0.52 sQ43_spl <=> (v13_lattices(sK0_skl))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f609,plain,(
% 0.09/0.52 v13_lattices(sK0_skl)|~sQ43_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f608])).
% 0.09/0.52 fof(f640,plain,(
% 0.09/0.52 l3_lattices(k1_lattice2(sK0_skl))),
% 0.09/0.52 inference(resolution,[status(thm)],[f143,f97])).
% 0.09/0.52 fof(f641,plain,(
% 0.09/0.52 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|m1_subset_1(k5_filter_2(sK0_skl,sK1_skl),u1_struct_0(k1_lattice2(sK0_skl)))),
% 0.09/0.52 inference(resolution,[status(thm)],[f145,f98])).
% 0.09/0.52 fof(f642,definition,(
% 0.09/0.52 sQ45_spl <=> (m1_subset_1(k5_filter_2(sK0_skl,sK1_skl),u1_struct_0(k1_lattice2(sK0_skl))))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f643,plain,(
% 0.09/0.52 m1_subset_1(k5_filter_2(sK0_skl,sK1_skl),u1_struct_0(k1_lattice2(sK0_skl)))|~sQ45_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f642])).
% 0.09/0.52 fof(f645,plain,(
% 0.09/0.52 sQ2_spl|~sQ3_spl|~sQ4_spl|sQ45_spl),
% 0.09/0.52 inference(split_clause,[status(thm)],[f641,f384,f387,f390,f642])).
% 0.09/0.52 fof(f646,plain,(
% 0.09/0.52 m1_subset_1(sK1_skl,u1_struct_0(k1_lattice2(sK0_skl)))|~sQ42_spl|~sQ45_spl),
% 0.09/0.52 inference(forward_demodulation,[status(thm)],[f604,f643])).
% 0.09/0.52 fof(f650,definition,(
% 0.09/0.52 sQ46_spl <=> (l3_lattices(k1_lattice2(sK0_skl)))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f652,plain,(
% 0.09/0.52 ~l3_lattices(k1_lattice2(sK0_skl))|sQ46_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f650])).
% 0.09/0.52 fof(f657,plain,(
% 0.09/0.52 $false|sQ46_spl),
% 0.09/0.52 inference(forward_subsumption_resolution,[status(thm)],[f652,f640])).
% 0.09/0.52 fof(f658,plain,(
% 0.09/0.52 sQ46_spl),
% 0.09/0.52 inference(contradiction_clause,[status(thm)],[f657])).
% 0.09/0.52 fof(f668,definition,(
% 0.09/0.52 sQ48_spl <=> (v3_struct_0(k1_lattice2(sK0_skl)))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f669,plain,(
% 0.09/0.52 v3_struct_0(k1_lattice2(sK0_skl))|~sQ48_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f668])).
% 0.09/0.52 fof(f671,definition,(
% 0.09/0.52 sQ49_spl <=> (v10_lattices(k1_lattice2(sK0_skl)))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f700,plain,(
% 0.09/0.52 v1_xboole_0(u1_struct_0(k1_lattice2(sK0_skl)))|k6_domain_1(u1_struct_0(k1_lattice2(sK0_skl)),sK1_skl)=k1_tarski(sK1_skl)|~sQ42_spl|~sQ45_spl),
% 0.09/0.52 inference(resolution,[status(thm)],[f646,f329])).
% 0.09/0.52 fof(f710,definition,(
% 0.09/0.52 sQ58_spl <=> (v1_xboole_0(u1_struct_0(k1_lattice2(sK0_skl))))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f711,plain,(
% 0.09/0.52 v1_xboole_0(u1_struct_0(k1_lattice2(sK0_skl)))|~sQ58_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f710])).
% 0.09/0.52 fof(f713,definition,(
% 0.09/0.52 sQ59_spl <=> (k6_domain_1(u1_struct_0(k1_lattice2(sK0_skl)),sK1_skl)=k1_tarski(sK1_skl))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f714,plain,(
% 0.09/0.52 k6_domain_1(u1_struct_0(k1_lattice2(sK0_skl)),sK1_skl)=k1_tarski(sK1_skl)|~sQ59_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f713])).
% 0.09/0.52 fof(f716,plain,(
% 0.09/0.52 sQ58_spl|sQ59_spl|~sQ42_spl|~sQ45_spl),
% 0.09/0.52 inference(split_clause,[status(thm)],[f700,f710,f713,f603,f642])).
% 0.09/0.52 fof(f775,plain,(
% 0.09/0.52 l1_lattices(k1_lattice2(sK0_skl))),
% 0.09/0.52 inference(resolution,[status(thm)],[f153,f640])).
% 0.09/0.52 fof(f778,plain,(
% 0.09/0.52 l1_lattices(sK0_skl)),
% 0.09/0.52 inference(resolution,[status(thm)],[f153,f97])).
% 0.09/0.52 fof(f791,plain,(
% 0.09/0.52 l1_struct_0(sK0_skl)),
% 0.09/0.52 inference(resolution,[status(thm)],[f778,f149])).
% 0.09/0.52 fof(f795,plain,(
% 0.09/0.52 l1_struct_0(k1_lattice2(sK0_skl))),
% 0.09/0.52 inference(resolution,[status(thm)],[f775,f149])).
% 0.09/0.52 fof(f1147,plain,(
% 0.09/0.52 v3_struct_0(sK0_skl)|~l3_lattices(sK0_skl)|~sQ48_spl),
% 0.09/0.52 inference(resolution,[status(thm)],[f203,f669])).
% 0.09/0.52 fof(f1149,plain,(
% 0.09/0.52 sQ2_spl|~sQ4_spl|~sQ48_spl),
% 0.09/0.52 inference(split_clause,[status(thm)],[f1147,f384,f390,f668])).
% 0.09/0.52 fof(f1151,plain,(
% 0.09/0.52 v3_struct_0(k1_lattice2(sK0_skl))|~l1_struct_0(k1_lattice2(sK0_skl))|~sQ58_spl),
% 0.09/0.52 inference(resolution,[status(thm)],[f206,f711])).
% 0.09/0.52 fof(f1152,plain,(
% 0.09/0.52 v3_struct_0(sK0_skl)|~l1_struct_0(sK0_skl)|~sQ0_spl),
% 0.09/0.52 inference(resolution,[status(thm)],[f206,f377])).
% 0.09/0.52 fof(f1153,definition,(
% 0.09/0.52 sQ132_spl <=> (l1_struct_0(k1_lattice2(sK0_skl)))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f1155,plain,(
% 0.09/0.52 ~l1_struct_0(k1_lattice2(sK0_skl))|sQ132_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f1153])).
% 0.09/0.52 fof(f1156,plain,(
% 0.09/0.52 sQ48_spl|~sQ132_spl|~sQ58_spl),
% 0.09/0.52 inference(split_clause,[status(thm)],[f1151,f668,f1153,f710])).
% 0.09/0.52 fof(f1157,definition,(
% 0.09/0.52 sQ133_spl <=> (l1_struct_0(sK0_skl))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f1159,plain,(
% 0.09/0.52 ~l1_struct_0(sK0_skl)|sQ133_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f1157])).
% 0.09/0.52 fof(f1160,plain,(
% 0.09/0.52 sQ2_spl|~sQ133_spl|~sQ0_spl),
% 0.09/0.52 inference(split_clause,[status(thm)],[f1152,f384,f1157,f376])).
% 0.09/0.52 fof(f1161,plain,(
% 0.09/0.52 $false|sQ132_spl),
% 0.09/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1155,f795])).
% 0.09/0.52 fof(f1162,plain,(
% 0.09/0.52 sQ132_spl),
% 0.09/0.52 inference(contradiction_clause,[status(thm)],[f1161])).
% 0.09/0.52 fof(f1163,plain,(
% 0.09/0.52 $false|sQ133_spl),
% 0.09/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1159,f791])).
% 0.09/0.52 fof(f1164,plain,(
% 0.09/0.52 sQ133_spl),
% 0.09/0.52 inference(contradiction_clause,[status(thm)],[f1163])).
% 0.09/0.52 fof(f1170,plain,(
% 0.09/0.52 m1_filter_2(k1_tarski(sK1_skl),k1_lattice2(sK0_skl))|~sQ9_spl|~sQ10_spl),
% 0.09/0.52 inference(backward_demodulation,[status(thm)],[f421,f426])).
% 0.09/0.52 fof(f1344,plain,(
% 0.09/0.52 v3_struct_0(k1_lattice2(sK0_skl))|~v10_lattices(k1_lattice2(sK0_skl))|~l3_lattices(k1_lattice2(sK0_skl))|~m1_subset_1(sK1_skl,u1_struct_0(k1_lattice2(sK0_skl)))|~m1_filter_0(k1_tarski(sK1_skl),k1_lattice2(sK0_skl))|v14_lattices(k1_lattice2(sK0_skl))|~sQ59_spl),
% 0.09/0.52 inference(paramodulation,[status(thm)],[f714,f342])).
% 0.09/0.52 fof(f1345,definition,(
% 0.09/0.52 sQ162_spl <=> (m1_subset_1(sK1_skl,u1_struct_0(k1_lattice2(sK0_skl))))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f1347,plain,(
% 0.09/0.52 ~m1_subset_1(sK1_skl,u1_struct_0(k1_lattice2(sK0_skl)))|sQ162_spl),
% 0.09/0.52 inference(component_clause,[status(thm)],[f1345])).
% 0.09/0.52 fof(f1348,definition,(
% 0.09/0.52 sQ163_spl <=> (m1_filter_0(k1_tarski(sK1_skl),k1_lattice2(sK0_skl)))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition])).
% 0.09/0.52 fof(f1351,definition,(
% 0.09/0.52 sQ164_spl <=> (v14_lattices(k1_lattice2(sK0_skl)))),
% 0.09/0.52 introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition])).
% 0.09/0.53 fof(f1352,plain,(
% 0.09/0.53 v14_lattices(k1_lattice2(sK0_skl))|~sQ164_spl),
% 0.09/0.53 inference(component_clause,[status(thm)],[f1351])).
% 0.09/0.53 fof(f1354,plain,(
% 0.09/0.53 sQ48_spl|~sQ49_spl|~sQ46_spl|~sQ162_spl|~sQ163_spl|sQ164_spl|~sQ59_spl),
% 0.09/0.53 inference(split_clause,[status(thm)],[f1344,f668,f671,f650,f1345,f1348,f1351,f713])).
% 0.09/0.53 fof(f1355,plain,(
% 0.09/0.53 $false|~sQ42_spl|~sQ45_spl|sQ162_spl),
% 0.09/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1347,f646])).
% 0.09/0.53 fof(f1356,plain,(
% 0.09/0.53 ~sQ42_spl|~sQ45_spl|sQ162_spl),
% 0.09/0.53 inference(contradiction_clause,[status(thm)],[f1355])).
% 0.09/0.53 fof(f1634,plain,(
% 0.09/0.53 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|v13_lattices(sK0_skl)|~sQ164_spl),
% 0.09/0.53 inference(resolution,[status(thm)],[f1352,f365])).
% 0.09/0.53 fof(f1636,plain,(
% 0.09/0.53 sQ2_spl|~sQ3_spl|~sQ4_spl|sQ43_spl|~sQ164_spl),
% 0.09/0.53 inference(split_clause,[status(thm)],[f1634,f384,f387,f390,f608,f1351])).
% 0.09/0.53 fof(f2111,plain,(
% 0.09/0.53 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|v10_lattices(k1_lattice2(sK0_skl))),
% 0.09/0.53 inference(resolution,[status(thm)],[f252,f97])).
% 0.09/0.53 fof(f2135,plain,(
% 0.09/0.53 sQ2_spl|~sQ3_spl|sQ49_spl),
% 0.09/0.53 inference(split_clause,[status(thm)],[f2111,f384,f387,f671])).
% 0.09/0.53 fof(f2469,plain,(
% 0.09/0.53 v3_struct_0(k1_lattice2(sK0_skl))|~v10_lattices(k1_lattice2(sK0_skl))|~l3_lattices(k1_lattice2(sK0_skl))|m1_filter_0(k1_tarski(sK1_skl),k1_lattice2(sK0_skl))|~sQ9_spl|~sQ10_spl),
% 0.09/0.53 inference(resolution,[status(thm)],[f333,f1170])).
% 0.09/0.53 fof(f2475,plain,(
% 0.09/0.53 sQ48_spl|~sQ49_spl|~sQ46_spl|sQ163_spl|~sQ9_spl|~sQ10_spl),
% 0.09/0.53 inference(split_clause,[status(thm)],[f2469,f668,f671,f650,f1348,f420,f425])).
% 0.09/0.53 fof(f2482,plain,(
% 0.09/0.53 $false|~sQ43_spl),
% 0.09/0.53 inference(forward_subsumption_resolution,[status(thm)],[f609,f100])).
% 0.09/0.53 fof(f2483,plain,(
% 0.09/0.53 ~sQ43_spl),
% 0.09/0.53 inference(contradiction_clause,[status(thm)],[f2482])).
% 0.09/0.53 fof(f2484,plain,(
% 0.09/0.53 $false),
% 0.09/0.53 inference(sat_refutation,[status(thm)],[f403,f405,f407,f423,f428,f606,f645,f658,f716,f1149,f1156,f1160,f1162,f1164,f1354,f1356,f1636,f2135,f2475,f2483])).
% 0.09/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.59/0.54 % Elapsed time: 0.175502 seconds
% 0.59/0.54 % CPU time: 1.094016 seconds
% 0.59/0.54 % Total memory used: 115.350 MB
% 0.59/0.54 % Net memory used: 114.459 MB
%------------------------------------------------------------------------------