%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG216+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 : n001.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 11:49:50 AM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG216+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
% 0.10/0.35 % Computer : n001.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 13:08:14 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,conjecture,(
% 0.13/0.39 (! [A] :( ( ~ v3_struct_0(A)& v3_rlvect_1(A)& v4_rlvect_1(A)& v5_rlvect_1(A)& v6_rlvect_1(A)& v4_group_1(A)& v6_vectsp_1(A)& v7_vectsp_1(A)& v8_vectsp_1(A)& l3_vectsp_1(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v3_rlvect_1(B)& v4_rlvect_1(B)& v5_rlvect_1(B)& v6_rlvect_1(B)& v5_vectsp_2(B,A)& l1_vectsp_2(B,A) )=> (! [C] :( m1_subset_1(C,u1_struct_0(B))=> ( k1_rlvect_1(A) != k2_group_1(A)=> ( ~ v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B)& ~ v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B) ) ) ) )) )) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,negated_conjecture,(
% 0.13/0.39 ~((! [A] :( ( ~ v3_struct_0(A)& v3_rlvect_1(A)& v4_rlvect_1(A)& v5_rlvect_1(A)& v6_rlvect_1(A)& v4_group_1(A)& v6_vectsp_1(A)& v7_vectsp_1(A)& v8_vectsp_1(A)& l3_vectsp_1(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v3_rlvect_1(B)& v4_rlvect_1(B)& v5_rlvect_1(B)& v6_rlvect_1(B)& v5_vectsp_2(B,A)& l1_vectsp_2(B,A) )=> (! [C] :( m1_subset_1(C,u1_struct_0(B))=> ( k1_rlvect_1(A) != k2_group_1(A)=> ( ~ v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B)& ~ v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B) ) ) ) )) )) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.39 fof(f31,axiom,(
% 0.13/0.39 (! [A] :( l1_rlvect_1(A)=> l2_struct_0(A) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f33,axiom,(
% 0.13/0.39 (! [A] :( l2_struct_0(A)=> l1_struct_0(A) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f47,axiom,(
% 0.13/0.39 (! [A] :( l2_struct_0(A)=> m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f50,axiom,(
% 0.13/0.39 (! [A] :( l1_struct_0(A)=> (! [B] :( l1_vectsp_2(B,A)=> l1_rlvect_1(B) ) )) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f51,axiom,(
% 0.13/0.39 (! [A] :( l3_vectsp_1(A)=> ( l1_rlvect_1(A)& l2_vectsp_1(A) ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f54,axiom,(
% 0.13/0.39 (! [A] :( ( ~ v3_struct_0(A)& v3_rlvect_1(A)& v4_rlvect_1(A)& v5_rlvect_1(A)& v6_rlvect_1(A)& v4_group_1(A)& v6_vectsp_1(A)& v7_vectsp_1(A)& v8_vectsp_1(A)& l3_vectsp_1(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v3_rlvect_1(B)& v4_rlvect_1(B)& v5_rlvect_1(B)& v6_rlvect_1(B)& v5_vectsp_2(B,A)& l1_vectsp_2(B,A) )=> (! [C] :( m1_subset_1(C,u1_struct_0(B))=> (! [D] :( m1_subset_1(D,u1_struct_0(B))=> ( v1_rmod_5(k8_rlvect_2(B,C,D),A,B)=> ( k1_rlvect_1(A) = k2_group_1(A)| ( C != k1_rlvect_1(B)& D != k1_rlvect_1(B) ) ) ) ) )) )) )) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f55,plain,(
% 0.13/0.39 (?[A]: ((((((((((~v3_struct_0(A)&v3_rlvect_1(A))&v4_rlvect_1(A))&v5_rlvect_1(A))&v6_rlvect_1(A))&v4_group_1(A))&v6_vectsp_1(A))&v7_vectsp_1(A))&v8_vectsp_1(A))&l3_vectsp_1(A))&(?[B]: (((((((~v3_struct_0(B)&v3_rlvect_1(B))&v4_rlvect_1(B))&v5_rlvect_1(B))&v6_rlvect_1(B))&v5_vectsp_2(B,A))&l1_vectsp_2(B,A))&(?[C]: (m1_subset_1(C,u1_struct_0(B))&(~k1_rlvect_1(A)=k2_group_1(A)&(v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B)|v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B)))))))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f56,plain,(
% 0.13/0.39 ((((((((((~v3_struct_0(sK0_skl)&v3_rlvect_1(sK0_skl))&v4_rlvect_1(sK0_skl))&v5_rlvect_1(sK0_skl))&v6_rlvect_1(sK0_skl))&v4_group_1(sK0_skl))&v6_vectsp_1(sK0_skl))&v7_vectsp_1(sK0_skl))&v8_vectsp_1(sK0_skl))&l3_vectsp_1(sK0_skl))&(((((((~v3_struct_0(sK1_skl)&v3_rlvect_1(sK1_skl))&v4_rlvect_1(sK1_skl))&v5_rlvect_1(sK1_skl))&v6_rlvect_1(sK1_skl))&v5_vectsp_2(sK1_skl,sK0_skl))&l1_vectsp_2(sK1_skl,sK0_skl))&(m1_subset_1(sK2_skl,u1_struct_0(sK1_skl))&(~k1_rlvect_1(sK0_skl)=k2_group_1(sK0_skl)&(v1_rmod_5(k8_rlvect_2(sK1_skl,sK2_skl,k1_rlvect_1(sK1_skl)),sK0_skl,sK1_skl)|v1_rmod_5(k8_rlvect_2(sK1_skl,k1_rlvect_1(sK1_skl),sK2_skl),sK0_skl,sK1_skl))))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f55])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 ~v3_struct_0(sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 v3_rlvect_1(sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 v4_rlvect_1(sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 v5_rlvect_1(sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 v6_rlvect_1(sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 v4_group_1(sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f63,plain,(
% 0.13/0.39 v6_vectsp_1(sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f64,plain,(
% 0.13/0.39 v7_vectsp_1(sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f65,plain,(
% 0.13/0.39 v8_vectsp_1(sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 l3_vectsp_1(sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f67,plain,(
% 0.13/0.39 ~v3_struct_0(sK1_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 v3_rlvect_1(sK1_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f69,plain,(
% 0.13/0.39 v4_rlvect_1(sK1_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 v5_rlvect_1(sK1_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 v6_rlvect_1(sK1_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 v5_vectsp_2(sK1_skl,sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f73,plain,(
% 0.13/0.39 l1_vectsp_2(sK1_skl,sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f74,plain,(
% 0.13/0.39 m1_subset_1(sK2_skl,u1_struct_0(sK1_skl))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f75,plain,(
% 0.13/0.39 ~k1_rlvect_1(sK0_skl)=k2_group_1(sK0_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f76,plain,(
% 0.13/0.39 v1_rmod_5(k8_rlvect_2(sK1_skl,sK2_skl,k1_rlvect_1(sK1_skl)),sK0_skl,sK1_skl)|v1_rmod_5(k8_rlvect_2(sK1_skl,k1_rlvect_1(sK1_skl),sK2_skl),sK0_skl,sK1_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.39 fof(f137,plain,(
% 0.13/0.39 ![A]: (~l1_rlvect_1(A)|l2_struct_0(A))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.13/0.39 fof(f138,plain,(
% 0.13/0.39 ![X0]: (~l1_rlvect_1(X0)|l2_struct_0(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f137])).
% 0.13/0.39 fof(f139,plain,(
% 0.13/0.39 ![A]: (~l2_struct_0(A)|l1_struct_0(A))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.13/0.39 fof(f140,plain,(
% 0.13/0.39 ![X0]: (~l2_struct_0(X0)|l1_struct_0(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f139])).
% 0.13/0.39 fof(f173,plain,(
% 0.13/0.39 ![A]: (~l2_struct_0(A)|m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.13/0.39 fof(f174,plain,(
% 0.13/0.39 ![X0]: (~l2_struct_0(X0)|m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f173])).
% 0.13/0.39 fof(f180,plain,(
% 0.13/0.39 ![A]: (~l1_struct_0(A)|(![B]: (~l1_vectsp_2(B,A)|l1_rlvect_1(B))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f50])).
% 0.13/0.39 fof(f181,plain,(
% 0.13/0.39 ![X0,X1]: (~l1_struct_0(X0)|~l1_vectsp_2(X1,X0)|l1_rlvect_1(X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f180])).
% 0.13/0.39 fof(f182,plain,(
% 0.13/0.39 ![A]: (~l3_vectsp_1(A)|(l1_rlvect_1(A)&l2_vectsp_1(A)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 0.13/0.39 fof(f183,plain,(
% 0.13/0.39 ![X0]: (~l3_vectsp_1(X0)|l1_rlvect_1(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f182])).
% 0.13/0.39 fof(f185,plain,(
% 0.13/0.39 ![A]: ((((((((((v3_struct_0(A)|~v3_rlvect_1(A))|~v4_rlvect_1(A))|~v5_rlvect_1(A))|~v6_rlvect_1(A))|~v4_group_1(A))|~v6_vectsp_1(A))|~v7_vectsp_1(A))|~v8_vectsp_1(A))|~l3_vectsp_1(A))|(![B]: (((((((v3_struct_0(B)|~v3_rlvect_1(B))|~v4_rlvect_1(B))|~v5_rlvect_1(B))|~v6_rlvect_1(B))|~v5_vectsp_2(B,A))|~l1_vectsp_2(B,A))|(![C]: (~m1_subset_1(C,u1_struct_0(B))|(![D]: (~m1_subset_1(D,u1_struct_0(B))|(~v1_rmod_5(k8_rlvect_2(B,C,D),A,B)|(k1_rlvect_1(A)=k2_group_1(A)|(~C=k1_rlvect_1(B)&~D=k1_rlvect_1(B)))))))))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.13/0.39 fof(f186,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (v3_struct_0(X0)|~v3_rlvect_1(X0)|~v4_rlvect_1(X0)|~v5_rlvect_1(X0)|~v6_rlvect_1(X0)|~v4_group_1(X0)|~v6_vectsp_1(X0)|~v7_vectsp_1(X0)|~v8_vectsp_1(X0)|~l3_vectsp_1(X0)|v3_struct_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_vectsp_2(X1,X0)|~l1_vectsp_2(X1,X0)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)|k1_rlvect_1(X0)=k2_group_1(X0)|~X2=k1_rlvect_1(X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f185])).
% 0.13/0.39 fof(f187,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (v3_struct_0(X0)|~v3_rlvect_1(X0)|~v4_rlvect_1(X0)|~v5_rlvect_1(X0)|~v6_rlvect_1(X0)|~v4_group_1(X0)|~v6_vectsp_1(X0)|~v7_vectsp_1(X0)|~v8_vectsp_1(X0)|~l3_vectsp_1(X0)|v3_struct_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_vectsp_2(X1,X0)|~l1_vectsp_2(X1,X0)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)|k1_rlvect_1(X0)=k2_group_1(X0)|~X3=k1_rlvect_1(X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f185])).
% 0.13/0.39 fof(f188,definition,(
% 0.13/0.39 sQ0_spl <=> (v1_rmod_5(k8_rlvect_2(sK1_skl,sK2_skl,k1_rlvect_1(sK1_skl)),sK0_skl,sK1_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f189,plain,(
% 0.13/0.39 v1_rmod_5(k8_rlvect_2(sK1_skl,sK2_skl,k1_rlvect_1(sK1_skl)),sK0_skl,sK1_skl)|~sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f188])).
% 0.13/0.39 fof(f191,definition,(
% 0.13/0.39 sQ1_spl <=> (v1_rmod_5(k8_rlvect_2(sK1_skl,k1_rlvect_1(sK1_skl),sK2_skl),sK0_skl,sK1_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f192,plain,(
% 0.13/0.39 v1_rmod_5(k8_rlvect_2(sK1_skl,k1_rlvect_1(sK1_skl),sK2_skl),sK0_skl,sK1_skl)|~sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f191])).
% 0.13/0.39 fof(f194,plain,(
% 0.13/0.39 sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f76,f188,f191])).
% 0.13/0.39 fof(f195,plain,(
% 0.13/0.39 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_rlvect_1(X0)|~v4_rlvect_1(X0)|~v5_rlvect_1(X0)|~v6_rlvect_1(X0)|~v4_group_1(X0)|~v6_vectsp_1(X0)|~v7_vectsp_1(X0)|~v8_vectsp_1(X0)|~l3_vectsp_1(X0)|v3_struct_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_vectsp_2(X1,X0)|~l1_vectsp_2(X1,X0)|~m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)|k1_rlvect_1(X0)=k2_group_1(X0))),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f186])).
% 0.13/0.39 fof(f196,plain,(
% 0.13/0.39 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_rlvect_1(X0)|~v4_rlvect_1(X0)|~v5_rlvect_1(X0)|~v6_rlvect_1(X0)|~v4_group_1(X0)|~v6_vectsp_1(X0)|~v7_vectsp_1(X0)|~v8_vectsp_1(X0)|~l3_vectsp_1(X0)|v3_struct_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_vectsp_2(X1,X0)|~l1_vectsp_2(X1,X0)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))|~v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)|k1_rlvect_1(X0)=k2_group_1(X0))),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f187])).
% 0.13/0.39 fof(f206,definition,(
% 0.13/0.39 sQ4_spl <=> (v3_struct_0(sK1_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f207,plain,(
% 0.13/0.39 v3_struct_0(sK1_skl)|~sQ4_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f206])).
% 0.13/0.39 fof(f222,plain,(
% 0.13/0.39 v3_struct_0(sK0_skl)|~v3_rlvect_1(sK0_skl)|~v4_rlvect_1(sK0_skl)|~v5_rlvect_1(sK0_skl)|~v6_rlvect_1(sK0_skl)|~v4_group_1(sK0_skl)|~v6_vectsp_1(sK0_skl)|~v7_vectsp_1(sK0_skl)|~v8_vectsp_1(sK0_skl)|~l3_vectsp_1(sK0_skl)|v3_struct_0(sK1_skl)|~v3_rlvect_1(sK1_skl)|~v4_rlvect_1(sK1_skl)|~v5_rlvect_1(sK1_skl)|~v6_rlvect_1(sK1_skl)|~v5_vectsp_2(sK1_skl,sK0_skl)|~l1_vectsp_2(sK1_skl,sK0_skl)|~m1_subset_1(sK2_skl,u1_struct_0(sK1_skl))|~m1_subset_1(k1_rlvect_1(sK1_skl),u1_struct_0(sK1_skl))|k1_rlvect_1(sK0_skl)=k2_group_1(sK0_skl)|~sQ0_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f196,f189])).
% 0.13/0.39 fof(f223,definition,(
% 0.13/0.39 sQ8_spl <=> (v3_struct_0(sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f224,plain,(
% 0.13/0.39 v3_struct_0(sK0_skl)|~sQ8_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f223])).
% 0.13/0.39 fof(f226,definition,(
% 0.13/0.39 sQ9_spl <=> (v3_rlvect_1(sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f228,plain,(
% 0.13/0.39 ~v3_rlvect_1(sK0_skl)|sQ9_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f226])).
% 0.13/0.39 fof(f229,definition,(
% 0.13/0.39 sQ10_spl <=> (v4_rlvect_1(sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f231,plain,(
% 0.13/0.39 ~v4_rlvect_1(sK0_skl)|sQ10_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f229])).
% 0.13/0.39 fof(f232,definition,(
% 0.13/0.39 sQ11_spl <=> (v5_rlvect_1(sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f234,plain,(
% 0.13/0.39 ~v5_rlvect_1(sK0_skl)|sQ11_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f232])).
% 0.13/0.39 fof(f235,definition,(
% 0.13/0.39 sQ12_spl <=> (v6_rlvect_1(sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f237,plain,(
% 0.13/0.39 ~v6_rlvect_1(sK0_skl)|sQ12_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f235])).
% 0.13/0.39 fof(f238,definition,(
% 0.13/0.39 sQ13_spl <=> (v4_group_1(sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f240,plain,(
% 0.13/0.39 ~v4_group_1(sK0_skl)|sQ13_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f238])).
% 0.13/0.39 fof(f241,definition,(
% 0.13/0.39 sQ14_spl <=> (v6_vectsp_1(sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f243,plain,(
% 0.13/0.39 ~v6_vectsp_1(sK0_skl)|sQ14_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f241])).
% 0.13/0.39 fof(f244,definition,(
% 0.13/0.39 sQ15_spl <=> (v7_vectsp_1(sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f246,plain,(
% 0.13/0.39 ~v7_vectsp_1(sK0_skl)|sQ15_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f244])).
% 0.13/0.39 fof(f247,definition,(
% 0.13/0.39 sQ16_spl <=> (v8_vectsp_1(sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f249,plain,(
% 0.13/0.39 ~v8_vectsp_1(sK0_skl)|sQ16_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f247])).
% 0.13/0.39 fof(f250,definition,(
% 0.13/0.39 sQ17_spl <=> (l3_vectsp_1(sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f252,plain,(
% 0.13/0.39 ~l3_vectsp_1(sK0_skl)|sQ17_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f250])).
% 0.13/0.39 fof(f253,definition,(
% 0.13/0.39 sQ18_spl <=> (v3_rlvect_1(sK1_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f255,plain,(
% 0.13/0.39 ~v3_rlvect_1(sK1_skl)|sQ18_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f253])).
% 0.13/0.39 fof(f256,definition,(
% 0.13/0.39 sQ19_spl <=> (v4_rlvect_1(sK1_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f258,plain,(
% 0.13/0.39 ~v4_rlvect_1(sK1_skl)|sQ19_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f256])).
% 0.13/0.39 fof(f259,definition,(
% 0.13/0.39 sQ20_spl <=> (v5_rlvect_1(sK1_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f261,plain,(
% 0.13/0.39 ~v5_rlvect_1(sK1_skl)|sQ20_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f259])).
% 0.13/0.39 fof(f262,definition,(
% 0.13/0.39 sQ21_spl <=> (v6_rlvect_1(sK1_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f264,plain,(
% 0.13/0.39 ~v6_rlvect_1(sK1_skl)|sQ21_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f262])).
% 0.13/0.39 fof(f265,definition,(
% 0.13/0.39 sQ22_spl <=> (v5_vectsp_2(sK1_skl,sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f267,plain,(
% 0.13/0.39 ~v5_vectsp_2(sK1_skl,sK0_skl)|sQ22_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f265])).
% 0.13/0.39 fof(f268,definition,(
% 0.13/0.39 sQ23_spl <=> (l1_vectsp_2(sK1_skl,sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f270,plain,(
% 0.13/0.39 ~l1_vectsp_2(sK1_skl,sK0_skl)|sQ23_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f268])).
% 0.13/0.39 fof(f271,definition,(
% 0.13/0.39 sQ24_spl <=> (m1_subset_1(sK2_skl,u1_struct_0(sK1_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f273,plain,(
% 0.13/0.39 ~m1_subset_1(sK2_skl,u1_struct_0(sK1_skl))|sQ24_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f271])).
% 0.13/0.39 fof(f274,definition,(
% 0.13/0.39 sQ25_spl <=> (m1_subset_1(k1_rlvect_1(sK1_skl),u1_struct_0(sK1_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f276,plain,(
% 0.13/0.39 ~m1_subset_1(k1_rlvect_1(sK1_skl),u1_struct_0(sK1_skl))|sQ25_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f274])).
% 0.13/0.39 fof(f277,definition,(
% 0.13/0.39 sQ26_spl <=> (k1_rlvect_1(sK0_skl)=k2_group_1(sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f278,plain,(
% 0.13/0.39 k1_rlvect_1(sK0_skl)=k2_group_1(sK0_skl)|~sQ26_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f277])).
% 0.13/0.39 fof(f280,plain,(
% 0.13/0.39 sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|~sQ16_spl|~sQ17_spl|sQ4_spl|~sQ18_spl|~sQ19_spl|~sQ20_spl|~sQ21_spl|~sQ22_spl|~sQ23_spl|~sQ24_spl|~sQ25_spl|sQ26_spl|~sQ0_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f222,f223,f226,f229,f232,f235,f238,f241,f244,f247,f250,f206,f253,f256,f259,f262,f265,f268,f271,f274,f277,f188])).
% 0.13/0.39 fof(f281,plain,(
% 0.13/0.39 $false|~sQ4_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f207,f67])).
% 0.13/0.39 fof(f282,plain,(
% 0.13/0.39 ~sQ4_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f281])).
% 0.13/0.39 fof(f283,plain,(
% 0.13/0.39 $false|~sQ26_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f278,f75])).
% 0.13/0.39 fof(f284,plain,(
% 0.13/0.39 ~sQ26_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f283])).
% 0.13/0.39 fof(f285,plain,(
% 0.13/0.39 v3_struct_0(sK0_skl)|~v3_rlvect_1(sK0_skl)|~v4_rlvect_1(sK0_skl)|~v5_rlvect_1(sK0_skl)|~v6_rlvect_1(sK0_skl)|~v4_group_1(sK0_skl)|~v6_vectsp_1(sK0_skl)|~v7_vectsp_1(sK0_skl)|~v8_vectsp_1(sK0_skl)|~l3_vectsp_1(sK0_skl)|v3_struct_0(sK1_skl)|~v3_rlvect_1(sK1_skl)|~v4_rlvect_1(sK1_skl)|~v5_rlvect_1(sK1_skl)|~v6_rlvect_1(sK1_skl)|~v5_vectsp_2(sK1_skl,sK0_skl)|~l1_vectsp_2(sK1_skl,sK0_skl)|~m1_subset_1(k1_rlvect_1(sK1_skl),u1_struct_0(sK1_skl))|~m1_subset_1(sK2_skl,u1_struct_0(sK1_skl))|k1_rlvect_1(sK0_skl)=k2_group_1(sK0_skl)|~sQ1_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f192,f195])).
% 0.13/0.39 fof(f286,plain,(
% 0.13/0.39 sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|~sQ16_spl|~sQ17_spl|sQ4_spl|~sQ18_spl|~sQ19_spl|~sQ20_spl|~sQ21_spl|~sQ22_spl|~sQ23_spl|~sQ25_spl|~sQ24_spl|sQ26_spl|~sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f285,f223,f226,f229,f232,f235,f238,f241,f244,f247,f250,f206,f253,f256,f259,f262,f265,f268,f274,f271,f277,f191])).
% 0.13/0.39 fof(f287,plain,(
% 0.13/0.39 $false|sQ24_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f273,f74])).
% 0.13/0.39 fof(f288,plain,(
% 0.13/0.39 sQ24_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f287])).
% 0.13/0.39 fof(f462,plain,(
% 0.13/0.39 l1_rlvect_1(sK0_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f183,f66])).
% 0.13/0.39 fof(f464,plain,(
% 0.13/0.39 l2_struct_0(sK0_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f462,f138])).
% 0.13/0.39 fof(f466,plain,(
% 0.13/0.39 l1_struct_0(sK0_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f464,f140])).
% 0.13/0.39 fof(f490,plain,(
% 0.13/0.39 $false|~sQ8_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f224,f57])).
% 0.13/0.39 fof(f491,plain,(
% 0.13/0.39 ~sQ8_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f490])).
% 0.13/0.39 fof(f626,definition,(
% 0.13/0.39 sQ87_spl <=> (l1_struct_0(sK0_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f628,plain,(
% 0.13/0.39 ~l1_struct_0(sK0_skl)|sQ87_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f626])).
% 0.13/0.39 fof(f645,plain,(
% 0.13/0.39 $false|sQ87_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f628,f466])).
% 0.13/0.39 fof(f646,plain,(
% 0.13/0.39 sQ87_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f645])).
% 0.13/0.39 fof(f948,plain,(
% 0.13/0.39 ~l1_struct_0(sK0_skl)|l1_rlvect_1(sK1_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f181,f73])).
% 0.13/0.39 fof(f1056,definition,(
% 0.13/0.39 sQ152_spl <=> (l1_rlvect_1(sK1_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f1057,plain,(
% 0.13/0.39 l1_rlvect_1(sK1_skl)|~sQ152_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1056])).
% 0.13/0.39 fof(f1059,plain,(
% 0.13/0.39 ~sQ87_spl|sQ152_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f948,f626,f1056])).
% 0.13/0.39 fof(f1097,plain,(
% 0.13/0.39 l2_struct_0(sK1_skl)|~sQ152_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f1057,f138])).
% 0.13/0.39 fof(f1098,plain,(
% 0.13/0.39 m1_subset_1(k1_rlvect_1(sK1_skl),u1_struct_0(sK1_skl))|~sQ152_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f1097,f174])).
% 0.13/0.39 fof(f1100,plain,(
% 0.13/0.39 $false|sQ25_spl|~sQ152_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1098,f276])).
% 0.13/0.39 fof(f1101,plain,(
% 0.13/0.39 sQ25_spl|~sQ152_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1100])).
% 0.13/0.39 fof(f1104,plain,(
% 0.13/0.39 $false|sQ23_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f270,f73])).
% 0.13/0.39 fof(f1105,plain,(
% 0.13/0.39 sQ23_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1104])).
% 0.13/0.39 fof(f1106,plain,(
% 0.13/0.39 $false|sQ22_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f267,f72])).
% 0.13/0.39 fof(f1107,plain,(
% 0.13/0.39 sQ22_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1106])).
% 0.13/0.39 fof(f1108,plain,(
% 0.13/0.39 $false|sQ21_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f264,f71])).
% 0.13/0.39 fof(f1109,plain,(
% 0.13/0.39 sQ21_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1108])).
% 0.13/0.39 fof(f1110,plain,(
% 0.13/0.39 $false|sQ20_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f261,f70])).
% 0.13/0.39 fof(f1111,plain,(
% 0.13/0.39 sQ20_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1110])).
% 0.13/0.39 fof(f1112,plain,(
% 0.13/0.39 $false|sQ19_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f258,f69])).
% 0.13/0.39 fof(f1113,plain,(
% 0.13/0.39 sQ19_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1112])).
% 0.13/0.39 fof(f1114,plain,(
% 0.13/0.39 $false|sQ18_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f255,f68])).
% 0.13/0.39 fof(f1115,plain,(
% 0.13/0.39 sQ18_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1114])).
% 0.13/0.39 fof(f1116,plain,(
% 0.13/0.39 $false|sQ17_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f252,f66])).
% 0.13/0.39 fof(f1117,plain,(
% 0.13/0.39 sQ17_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1116])).
% 0.13/0.39 fof(f1118,plain,(
% 0.13/0.39 $false|sQ16_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f249,f65])).
% 0.13/0.39 fof(f1119,plain,(
% 0.13/0.39 sQ16_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1118])).
% 0.13/0.39 fof(f1120,plain,(
% 0.13/0.39 $false|sQ15_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f246,f64])).
% 0.13/0.39 fof(f1121,plain,(
% 0.13/0.39 sQ15_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1120])).
% 0.13/0.39 fof(f1122,plain,(
% 0.13/0.39 $false|sQ14_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f243,f63])).
% 0.13/0.39 fof(f1123,plain,(
% 0.13/0.39 sQ14_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1122])).
% 0.13/0.39 fof(f1124,plain,(
% 0.13/0.39 $false|sQ13_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f240,f62])).
% 0.13/0.39 fof(f1125,plain,(
% 0.13/0.39 sQ13_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1124])).
% 0.13/0.39 fof(f1126,plain,(
% 0.13/0.39 $false|sQ12_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f237,f61])).
% 0.13/0.39 fof(f1127,plain,(
% 0.13/0.39 sQ12_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1126])).
% 0.13/0.39 fof(f1128,plain,(
% 0.13/0.39 $false|sQ11_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f234,f60])).
% 0.13/0.39 fof(f1129,plain,(
% 0.13/0.39 sQ11_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1128])).
% 0.13/0.39 fof(f1130,plain,(
% 0.13/0.39 $false|sQ9_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f228,f58])).
% 0.13/0.39 fof(f1131,plain,(
% 0.13/0.39 sQ9_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1130])).
% 0.13/0.39 fof(f1132,plain,(
% 0.13/0.39 $false|sQ10_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f231,f59])).
% 0.13/0.39 fof(f1133,plain,(
% 0.13/0.39 sQ10_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1132])).
% 0.13/0.39 fof(f1134,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f194,f280,f282,f284,f286,f288,f491,f646,f1059,f1101,f1105,f1107,f1109,f1111,f1113,f1115,f1117,f1119,f1121,f1123,f1125,f1127,f1129,f1131,f1133])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.054890 seconds
% 0.13/0.42 % CPU time: 0.210710 seconds
% 0.13/0.42 % Total memory used: 106.629 MB
% 0.13/0.42 % Net memory used: 106.480 MB
%------------------------------------------------------------------------------