%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG219+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 10.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG219+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/10.40 % Computer : n016.cluster.edu
% 0.13/10.40 % Model : x86_64 x86_64
% 0.13/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.40 % Memory : 8046.5625MB
% 0.13/10.40 % OS : Linux 6.8.0-71-generic
% 0.13/10.40 % CPULimit : 300
% 0.13/10.40 % WCLimit : 300
% 0.13/10.40 % DateTime : Mon Sep 21 13:08:21 UTC 2026
% 0.13/10.40 % CPUTime :
% 0.13/10.43 % Drodi V4.1.1
% 0.13/10.45 % Refutation found
% 0.13/10.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/10.45 % SZS output start CNFRefutation for theBenchmark
% 0.13/10.45 fof(f1,conjecture,(
% 0.13/10.45 (! [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)& v7_group_1(A)& v6_vectsp_1(A)& v7_vectsp_1(A)& v8_vectsp_1(A)& ~ v10_vectsp_1(A)& v2_vectsp_2(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)& v3_vectsp_2(B,A)& v5_vectsp_2(B,A)& l1_vectsp_2(B,A) )=> (! [C] :( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))=> ( C = u1_struct_0(B)=> ( k1_rlvect_1(A) = k2_group_1(A)| k1_rmod_5(A,B,C) = B ) ) ) )) )) )),
% 0.13/10.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.45 fof(f2,negated_conjecture,(
% 0.13/10.45 ~((! [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)& v7_group_1(A)& v6_vectsp_1(A)& v7_vectsp_1(A)& v8_vectsp_1(A)& ~ v10_vectsp_1(A)& v2_vectsp_2(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)& v3_vectsp_2(B,A)& v5_vectsp_2(B,A)& l1_vectsp_2(B,A) )=> (! [C] :( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))=> ( C = u1_struct_0(B)=> ( k1_rlvect_1(A) = k2_group_1(A)| k1_rmod_5(A,B,C) = B ) ) ) )) )) ))),
% 0.13/10.45 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/10.45 fof(f3,axiom,(
% 0.13/10.45 (! [A,B] :( ( l1_struct_0(A)& l1_vectsp_2(B,A) )=> ( v3_vectsp_2(B,A)=> B = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) ) ) )),
% 0.13/10.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.45 fof(f8,axiom,(
% 0.13/10.45 (! [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) )=> k2_rmod_2(A,B) = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) ) )) )),
% 0.13/10.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.45 fof(f15,axiom,(
% 0.13/10.45 (! [A,B] :( ( ~ 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)& ~ 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) )=> ( v3_vectsp_2(k2_rmod_2(A,B),A)& m1_rmod_2(k2_rmod_2(A,B),A,B) ) ) )),
% 0.13/10.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.45 fof(f18,axiom,(
% 0.13/10.45 (! [A] :( l1_rlvect_1(A)=> l2_struct_0(A) ) )),
% 0.13/10.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.45 fof(f22,axiom,(
% 0.13/10.45 (! [A] :( l2_struct_0(A)=> l1_struct_0(A) ) )),
% 0.13/10.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.45 fof(f24,axiom,(
% 0.13/10.45 (! [A] :( l3_vectsp_1(A)=> ( l1_rlvect_1(A)& l2_vectsp_1(A) ) ) )),
% 0.13/10.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.45 fof(f65,axiom,(
% 0.13/10.45 (! [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)& v7_group_1(A)& v6_vectsp_1(A)& v7_vectsp_1(A)& v8_vectsp_1(A)& ~ v10_vectsp_1(A)& v2_vectsp_2(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,k1_zfmisc_1(u1_struct_0(B)))=> (! [D] :( ( v3_vectsp_2(D,A)& m1_rmod_2(D,A,B) )=> ( C = u1_struct_0(D)=> ( k1_rlvect_1(A) = k2_group_1(A)| k1_rmod_5(A,B,C) = D ) ) ) )) )) )) )),
% 0.13/10.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.45 fof(f74,plain,(
% 0.13/10.45 (?[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))&v7_group_1(A))&v6_vectsp_1(A))&v7_vectsp_1(A))&v8_vectsp_1(A))&~v10_vectsp_1(A))&v2_vectsp_2(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))&v3_vectsp_2(B,A))&v5_vectsp_2(B,A))&l1_vectsp_2(B,A))&(?[C]: (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))&(C=u1_struct_0(B)&(~k1_rlvect_1(A)=k2_group_1(A)&~k1_rmod_5(A,B,C)=B))))))))),
% 0.13/10.45 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/10.45 fof(f75,plain,(
% 0.13/10.45 (((((((((((((~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))&v7_group_1(sK0_skl))&v6_vectsp_1(sK0_skl))&v7_vectsp_1(sK0_skl))&v8_vectsp_1(sK0_skl))&~v10_vectsp_1(sK0_skl))&v2_vectsp_2(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))&v3_vectsp_2(sK1_skl,sK0_skl))&v5_vectsp_2(sK1_skl,sK0_skl))&l1_vectsp_2(sK1_skl,sK0_skl))&(m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK1_skl)))&(sK2_skl=u1_struct_0(sK1_skl)&(~k1_rlvect_1(sK0_skl)=k2_group_1(sK0_skl)&~k1_rmod_5(sK0_skl,sK1_skl,sK2_skl)=sK1_skl)))))),
% 0.13/10.45 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)],[f74])).
% 0.13/10.45 fof(f76,plain,(
% 0.13/10.45 ~v3_struct_0(sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f77,plain,(
% 0.13/10.45 v3_rlvect_1(sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f78,plain,(
% 0.13/10.45 v4_rlvect_1(sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f79,plain,(
% 0.13/10.45 v5_rlvect_1(sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f80,plain,(
% 0.13/10.45 v6_rlvect_1(sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f81,plain,(
% 0.13/10.45 v4_group_1(sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f82,plain,(
% 0.13/10.45 v7_group_1(sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f83,plain,(
% 0.13/10.45 v6_vectsp_1(sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f84,plain,(
% 0.13/10.45 v7_vectsp_1(sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f85,plain,(
% 0.13/10.45 v8_vectsp_1(sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f86,plain,(
% 0.13/10.45 ~v10_vectsp_1(sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f87,plain,(
% 0.13/10.45 v2_vectsp_2(sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f88,plain,(
% 0.13/10.45 l3_vectsp_1(sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f89,plain,(
% 0.13/10.45 ~v3_struct_0(sK1_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f90,plain,(
% 0.13/10.45 v3_rlvect_1(sK1_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f91,plain,(
% 0.13/10.45 v4_rlvect_1(sK1_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f92,plain,(
% 0.13/10.45 v5_rlvect_1(sK1_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f93,plain,(
% 0.13/10.45 v6_rlvect_1(sK1_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f94,plain,(
% 0.13/10.45 v3_vectsp_2(sK1_skl,sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f95,plain,(
% 0.13/10.45 v5_vectsp_2(sK1_skl,sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f96,plain,(
% 0.13/10.45 l1_vectsp_2(sK1_skl,sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f97,plain,(
% 0.13/10.45 m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK1_skl)))),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f98,plain,(
% 0.13/10.45 sK2_skl=u1_struct_0(sK1_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f99,plain,(
% 0.13/10.45 ~k1_rlvect_1(sK0_skl)=k2_group_1(sK0_skl)),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f100,plain,(
% 0.13/10.45 ~k1_rmod_5(sK0_skl,sK1_skl,sK2_skl)=sK1_skl),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/10.45 fof(f101,plain,(
% 0.13/10.45 ![A,B]: ((~l1_struct_0(A)|~l1_vectsp_2(B,A))|(~v3_vectsp_2(B,A)|B=g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B))))),
% 0.13/10.45 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.13/10.45 fof(f102,plain,(
% 0.13/10.45 ![X0,X1]: (~l1_struct_0(X0)|~l1_vectsp_2(X1,X0)|~v3_vectsp_2(X1,X0)|X1=g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)))),
% 0.13/10.45 inference(cnf_transformation,[status(thm)],[f101])).
% 0.13/10.45 fof(f118,plain,(
% 0.13/10.45 ![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))|k2_rmod_2(A,B)=g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)))))),
% 0.13/10.46 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.13/10.46 fof(f119,plain,(
% 0.13/10.46 ![X0,X1]: (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)|k2_rmod_2(X0,X1)=g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)))),
% 0.13/10.46 inference(cnf_transformation,[status(thm)],[f118])).
% 0.13/10.46 fof(f130,plain,(
% 0.13/10.46 ![A,B]: (((((((((((((((((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))|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))|(v3_vectsp_2(k2_rmod_2(A,B),A)&m1_rmod_2(k2_rmod_2(A,B),A,B)))),
% 0.13/10.46 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.13/10.46 fof(f132,plain,(
% 0.13/10.46 ![X0,X1]: (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_rmod_2(k2_rmod_2(X0,X1),X0,X1))),
% 0.13/10.46 inference(cnf_transformation,[status(thm)],[f130])).
% 0.13/10.46 fof(f135,plain,(
% 0.13/10.46 ![A]: (~l1_rlvect_1(A)|l2_struct_0(A))),
% 0.13/10.46 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.13/10.46 fof(f136,plain,(
% 0.13/10.46 ![X0]: (~l1_rlvect_1(X0)|l2_struct_0(X0))),
% 0.13/10.46 inference(cnf_transformation,[status(thm)],[f135])).
% 0.13/10.46 fof(f141,plain,(
% 0.13/10.46 ![A]: (~l2_struct_0(A)|l1_struct_0(A))),
% 0.13/10.46 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.13/10.46 fof(f142,plain,(
% 0.13/10.46 ![X0]: (~l2_struct_0(X0)|l1_struct_0(X0))),
% 0.13/10.46 inference(cnf_transformation,[status(thm)],[f141])).
% 0.13/10.46 fof(f146,plain,(
% 0.13/10.46 ![A]: (~l3_vectsp_1(A)|(l1_rlvect_1(A)&l2_vectsp_1(A)))),
% 0.13/10.46 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.13/10.46 fof(f147,plain,(
% 0.13/10.46 ![X0]: (~l3_vectsp_1(X0)|l1_rlvect_1(X0))),
% 0.13/10.46 inference(cnf_transformation,[status(thm)],[f146])).
% 0.13/10.46 fof(f274,plain,(
% 0.13/10.46 ![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))|~v7_group_1(A))|~v6_vectsp_1(A))|~v7_vectsp_1(A))|~v8_vectsp_1(A))|v10_vectsp_1(A))|~v2_vectsp_2(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,k1_zfmisc_1(u1_struct_0(B)))|(![D]: ((~v3_vectsp_2(D,A)|~m1_rmod_2(D,A,B))|(~C=u1_struct_0(D)|(k1_rlvect_1(A)=k2_group_1(A)|k1_rmod_5(A,B,C)=D)))))))))),
% 0.13/10.46 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 0.13/10.46 fof(f275,plain,(
% 0.13/10.46 ![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)|~v7_group_1(X0)|~v6_vectsp_1(X0)|~v7_vectsp_1(X0)|~v8_vectsp_1(X0)|v10_vectsp_1(X0)|~v2_vectsp_2(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,k1_zfmisc_1(u1_struct_0(X1)))|~v3_vectsp_2(X3,X0)|~m1_rmod_2(X3,X0,X1)|~X2=u1_struct_0(X3)|k1_rlvect_1(X0)=k2_group_1(X0)|k1_rmod_5(X0,X1,X2)=X3)),
% 0.13/10.46 inference(cnf_transformation,[status(thm)],[f274])).
% 0.13/10.46 fof(f298,plain,(
% 0.13/10.46 ![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)|~v7_group_1(X0)|~v6_vectsp_1(X0)|~v7_vectsp_1(X0)|~v8_vectsp_1(X0)|v10_vectsp_1(X0)|~v2_vectsp_2(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(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1)))|~v3_vectsp_2(X2,X0)|~m1_rmod_2(X2,X0,X1)|k1_rlvect_1(X0)=k2_group_1(X0)|k1_rmod_5(X0,X1,u1_struct_0(X2))=X2)),
% 0.13/10.46 inference(destructive_equality_resolution,[status(thm)],[f275])).
% 0.13/10.46 fof(f299,plain,(
% 0.13/10.46 m1_subset_1(sK2_skl,k1_zfmisc_1(sK2_skl))),
% 0.13/10.46 inference(forward_demodulation,[status(thm)],[f98,f97])).
% 0.13/10.46 fof(f319,definition,(
% 0.13/10.46 sQ4_spl <=> (v3_struct_0(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f320,plain,(
% 0.13/10.46 v3_struct_0(sK0_skl)|~sQ4_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f319])).
% 0.13/10.46 fof(f322,definition,(
% 0.13/10.46 sQ5_spl <=> (v3_rlvect_1(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f324,plain,(
% 0.13/10.46 ~v3_rlvect_1(sK0_skl)|sQ5_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f322])).
% 0.13/10.46 fof(f325,definition,(
% 0.13/10.46 sQ6_spl <=> (v4_rlvect_1(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f327,plain,(
% 0.13/10.46 ~v4_rlvect_1(sK0_skl)|sQ6_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f325])).
% 0.13/10.46 fof(f328,definition,(
% 0.13/10.46 sQ7_spl <=> (v5_rlvect_1(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f330,plain,(
% 0.13/10.46 ~v5_rlvect_1(sK0_skl)|sQ7_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f328])).
% 0.13/10.46 fof(f331,definition,(
% 0.13/10.46 sQ8_spl <=> (v6_rlvect_1(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f333,plain,(
% 0.13/10.46 ~v6_rlvect_1(sK0_skl)|sQ8_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f331])).
% 0.13/10.46 fof(f334,definition,(
% 0.13/10.46 sQ9_spl <=> (v4_group_1(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f336,plain,(
% 0.13/10.46 ~v4_group_1(sK0_skl)|sQ9_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f334])).
% 0.13/10.46 fof(f337,definition,(
% 0.13/10.46 sQ10_spl <=> (v7_group_1(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f339,plain,(
% 0.13/10.46 ~v7_group_1(sK0_skl)|sQ10_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f337])).
% 0.13/10.46 fof(f340,definition,(
% 0.13/10.46 sQ11_spl <=> (v6_vectsp_1(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f342,plain,(
% 0.13/10.46 ~v6_vectsp_1(sK0_skl)|sQ11_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f340])).
% 0.13/10.46 fof(f343,definition,(
% 0.13/10.46 sQ12_spl <=> (v7_vectsp_1(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f345,plain,(
% 0.13/10.46 ~v7_vectsp_1(sK0_skl)|sQ12_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f343])).
% 0.13/10.46 fof(f346,definition,(
% 0.13/10.46 sQ13_spl <=> (v8_vectsp_1(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f348,plain,(
% 0.13/10.46 ~v8_vectsp_1(sK0_skl)|sQ13_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f346])).
% 0.13/10.46 fof(f349,definition,(
% 0.13/10.46 sQ14_spl <=> (v10_vectsp_1(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f350,plain,(
% 0.13/10.46 v10_vectsp_1(sK0_skl)|~sQ14_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f349])).
% 0.13/10.46 fof(f352,definition,(
% 0.13/10.46 sQ15_spl <=> (v2_vectsp_2(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f354,plain,(
% 0.13/10.46 ~v2_vectsp_2(sK0_skl)|sQ15_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f352])).
% 0.13/10.46 fof(f355,definition,(
% 0.13/10.46 sQ16_spl <=> (l3_vectsp_1(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f357,plain,(
% 0.13/10.46 ~l3_vectsp_1(sK0_skl)|sQ16_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f355])).
% 0.13/10.46 fof(f358,definition,(
% 0.13/10.46 sQ17_spl <=> (v3_struct_0(sK1_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f359,plain,(
% 0.13/10.46 v3_struct_0(sK1_skl)|~sQ17_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f358])).
% 0.13/10.46 fof(f361,definition,(
% 0.13/10.46 sQ18_spl <=> (v3_rlvect_1(sK1_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f363,plain,(
% 0.13/10.46 ~v3_rlvect_1(sK1_skl)|sQ18_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f361])).
% 0.13/10.46 fof(f364,definition,(
% 0.13/10.46 sQ19_spl <=> (v4_rlvect_1(sK1_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f366,plain,(
% 0.13/10.46 ~v4_rlvect_1(sK1_skl)|sQ19_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f364])).
% 0.13/10.46 fof(f367,definition,(
% 0.13/10.46 sQ20_spl <=> (v5_rlvect_1(sK1_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f369,plain,(
% 0.13/10.46 ~v5_rlvect_1(sK1_skl)|sQ20_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f367])).
% 0.13/10.46 fof(f370,definition,(
% 0.13/10.46 sQ21_spl <=> (v6_rlvect_1(sK1_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f372,plain,(
% 0.13/10.46 ~v6_rlvect_1(sK1_skl)|sQ21_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f370])).
% 0.13/10.46 fof(f373,definition,(
% 0.13/10.46 sQ22_spl <=> (l1_vectsp_2(sK1_skl,sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f375,plain,(
% 0.13/10.46 ~l1_vectsp_2(sK1_skl,sK0_skl)|sQ22_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f373])).
% 0.13/10.46 fof(f387,plain,(
% 0.13/10.46 $false|sQ22_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f375,f96])).
% 0.13/10.46 fof(f388,plain,(
% 0.13/10.46 sQ22_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f387])).
% 0.13/10.46 fof(f389,plain,(
% 0.13/10.46 $false|sQ21_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f372,f93])).
% 0.13/10.46 fof(f390,plain,(
% 0.13/10.46 sQ21_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f389])).
% 0.13/10.46 fof(f391,plain,(
% 0.13/10.46 $false|sQ20_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f369,f92])).
% 0.13/10.46 fof(f392,plain,(
% 0.13/10.46 sQ20_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f391])).
% 0.13/10.46 fof(f393,plain,(
% 0.13/10.46 $false|sQ19_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f366,f91])).
% 0.13/10.46 fof(f394,plain,(
% 0.13/10.46 sQ19_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f393])).
% 0.13/10.46 fof(f395,plain,(
% 0.13/10.46 $false|sQ18_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f363,f90])).
% 0.13/10.46 fof(f396,plain,(
% 0.13/10.46 sQ18_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f395])).
% 0.13/10.46 fof(f397,plain,(
% 0.13/10.46 $false|~sQ17_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f359,f89])).
% 0.13/10.46 fof(f398,plain,(
% 0.13/10.46 ~sQ17_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f397])).
% 0.13/10.46 fof(f399,plain,(
% 0.13/10.46 $false|sQ16_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f357,f88])).
% 0.13/10.46 fof(f400,plain,(
% 0.13/10.46 sQ16_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f399])).
% 0.13/10.46 fof(f401,plain,(
% 0.13/10.46 $false|sQ15_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f354,f87])).
% 0.13/10.46 fof(f402,plain,(
% 0.13/10.46 sQ15_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f401])).
% 0.13/10.46 fof(f403,plain,(
% 0.13/10.46 $false|~sQ14_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f350,f86])).
% 0.13/10.46 fof(f404,plain,(
% 0.13/10.46 ~sQ14_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f403])).
% 0.13/10.46 fof(f405,plain,(
% 0.13/10.46 $false|sQ13_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f348,f85])).
% 0.13/10.46 fof(f406,plain,(
% 0.13/10.46 sQ13_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f405])).
% 0.13/10.46 fof(f407,plain,(
% 0.13/10.46 $false|sQ12_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f345,f84])).
% 0.13/10.46 fof(f408,plain,(
% 0.13/10.46 sQ12_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f407])).
% 0.13/10.46 fof(f409,plain,(
% 0.13/10.46 $false|sQ11_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f342,f83])).
% 0.13/10.46 fof(f410,plain,(
% 0.13/10.46 sQ11_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f409])).
% 0.13/10.46 fof(f411,plain,(
% 0.13/10.46 $false|sQ10_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f339,f82])).
% 0.13/10.46 fof(f412,plain,(
% 0.13/10.46 sQ10_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f411])).
% 0.13/10.46 fof(f413,plain,(
% 0.13/10.46 $false|sQ9_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f336,f81])).
% 0.13/10.46 fof(f414,plain,(
% 0.13/10.46 sQ9_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f413])).
% 0.13/10.46 fof(f415,plain,(
% 0.13/10.46 $false|sQ8_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f333,f80])).
% 0.13/10.46 fof(f416,plain,(
% 0.13/10.46 sQ8_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f415])).
% 0.13/10.46 fof(f417,plain,(
% 0.13/10.46 $false|sQ7_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f330,f79])).
% 0.13/10.46 fof(f418,plain,(
% 0.13/10.46 sQ7_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f417])).
% 0.13/10.46 fof(f419,plain,(
% 0.13/10.46 $false|sQ6_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f327,f78])).
% 0.13/10.46 fof(f420,plain,(
% 0.13/10.46 sQ6_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f419])).
% 0.13/10.46 fof(f421,plain,(
% 0.13/10.46 $false|sQ5_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f324,f77])).
% 0.13/10.46 fof(f422,plain,(
% 0.13/10.46 sQ5_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f421])).
% 0.13/10.46 fof(f423,plain,(
% 0.13/10.46 $false|~sQ4_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f320,f76])).
% 0.13/10.46 fof(f424,plain,(
% 0.13/10.46 ~sQ4_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f423])).
% 0.13/10.46 fof(f427,plain,(
% 0.13/10.46 ![X0,X1]: (v3_struct_0(X0)|~v3_rlvect_1(X0)|~v4_rlvect_1(X0)|~v5_rlvect_1(X0)|~v6_rlvect_1(X0)|~v4_group_1(X0)|~v7_group_1(X0)|~v6_vectsp_1(X0)|~v7_vectsp_1(X0)|~v8_vectsp_1(X0)|v10_vectsp_1(X0)|~v2_vectsp_2(X0)|~l3_vectsp_1(X0)|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,X0)|~l1_vectsp_2(sK1_skl,X0)|~m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(sK2_skl))|~v3_vectsp_2(X1,X0)|~m1_rmod_2(X1,X0,sK1_skl)|k1_rlvect_1(X0)=k2_group_1(X0)|k1_rmod_5(X0,sK1_skl,u1_struct_0(X1))=X1)),
% 0.13/10.46 inference(paramodulation,[status(thm)],[f98,f298])).
% 0.13/10.46 fof(f429,definition,(
% 0.13/10.46 ![X0,X1]: (sQ25_spl <=> (v3_struct_0(X0)|~v3_rlvect_1(X0)|~v4_rlvect_1(X0)|~v5_rlvect_1(X0)|~v6_rlvect_1(X0)|~v4_group_1(X0)|~v7_group_1(X0)|~v6_vectsp_1(X0)|~v7_vectsp_1(X0)|~v8_vectsp_1(X0)|v10_vectsp_1(X0)|~v2_vectsp_2(X0)|~l3_vectsp_1(X0)|~v5_vectsp_2(sK1_skl,X0)|~l1_vectsp_2(sK1_skl,X0)|~m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(sK2_skl))|~v3_vectsp_2(X1,X0)|~m1_rmod_2(X1,X0,sK1_skl)|k1_rlvect_1(X0)=k2_group_1(X0)|k1_rmod_5(X0,sK1_skl,u1_struct_0(X1))=X1))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f430,plain,(
% 0.13/10.46 ![X0,X1]: (v3_struct_0(X0)|~v3_rlvect_1(X0)|~v4_rlvect_1(X0)|~v5_rlvect_1(X0)|~v6_rlvect_1(X0)|~v4_group_1(X0)|~v7_group_1(X0)|~v6_vectsp_1(X0)|~v7_vectsp_1(X0)|~v8_vectsp_1(X0)|v10_vectsp_1(X0)|~v2_vectsp_2(X0)|~l3_vectsp_1(X0)|~v5_vectsp_2(sK1_skl,X0)|~l1_vectsp_2(sK1_skl,X0)|~m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(sK2_skl))|~v3_vectsp_2(X1,X0)|~m1_rmod_2(X1,X0,sK1_skl)|k1_rlvect_1(X0)=k2_group_1(X0)|k1_rmod_5(X0,sK1_skl,u1_struct_0(X1))=X1|~sQ25_spl)),
% 0.13/10.46 inference(component_clause,[status(thm)],[f429])).
% 0.13/10.46 fof(f432,plain,(
% 0.13/10.46 sQ25_spl|sQ17_spl|~sQ18_spl|~sQ19_spl|~sQ20_spl|~sQ21_spl),
% 0.13/10.46 inference(split_clause,[status(thm)],[f427,f429,f358,f361,f364,f367,f370])).
% 0.13/10.46 fof(f451,plain,(
% 0.13/10.46 ~l1_struct_0(sK0_skl)|~l1_vectsp_2(sK1_skl,sK0_skl)|sK1_skl=g1_vectsp_2(sK0_skl,u1_struct_0(sK1_skl),u1_rlvect_1(sK1_skl),u2_struct_0(sK1_skl),u1_vectsp_2(sK0_skl,sK1_skl))),
% 0.13/10.46 inference(resolution,[status(thm)],[f102,f94])).
% 0.13/10.46 fof(f452,definition,(
% 0.13/10.46 sQ28_spl <=> (l1_struct_0(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f454,plain,(
% 0.13/10.46 ~l1_struct_0(sK0_skl)|sQ28_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f452])).
% 0.13/10.46 fof(f455,definition,(
% 0.13/10.46 sQ29_spl <=> (sK1_skl=g1_vectsp_2(sK0_skl,u1_struct_0(sK1_skl),u1_rlvect_1(sK1_skl),u2_struct_0(sK1_skl),u1_vectsp_2(sK0_skl,sK1_skl)))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f456,plain,(
% 0.13/10.46 sK1_skl=g1_vectsp_2(sK0_skl,u1_struct_0(sK1_skl),u1_rlvect_1(sK1_skl),u2_struct_0(sK1_skl),u1_vectsp_2(sK0_skl,sK1_skl))|~sQ29_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f455])).
% 0.13/10.46 fof(f458,plain,(
% 0.13/10.46 ~sQ28_spl|~sQ22_spl|sQ29_spl),
% 0.13/10.46 inference(split_clause,[status(thm)],[f451,f452,f373,f455])).
% 0.13/10.46 fof(f473,definition,(
% 0.13/10.46 sQ33_spl <=> (m1_subset_1(sK2_skl,k1_zfmisc_1(sK2_skl)))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f475,plain,(
% 0.13/10.46 ~m1_subset_1(sK2_skl,k1_zfmisc_1(sK2_skl))|sQ33_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f473])).
% 0.13/10.46 fof(f477,plain,(
% 0.13/10.46 ![X0]: (v3_struct_0(X0)|~v3_rlvect_1(X0)|~v4_rlvect_1(X0)|~v5_rlvect_1(X0)|~v6_rlvect_1(X0)|~v4_group_1(X0)|~v7_group_1(X0)|~v6_vectsp_1(X0)|~v7_vectsp_1(X0)|~v8_vectsp_1(X0)|v10_vectsp_1(X0)|~v2_vectsp_2(X0)|~l3_vectsp_1(X0)|~v5_vectsp_2(sK1_skl,X0)|~l1_vectsp_2(sK1_skl,X0)|~m1_subset_1(sK2_skl,k1_zfmisc_1(sK2_skl))|~v3_vectsp_2(sK1_skl,X0)|~m1_rmod_2(sK1_skl,X0,sK1_skl)|k1_rlvect_1(X0)=k2_group_1(X0)|k1_rmod_5(X0,sK1_skl,u1_struct_0(sK1_skl))=sK1_skl|~sQ25_spl)),
% 0.13/10.46 inference(paramodulation,[status(thm)],[f98,f430])).
% 0.13/10.46 fof(f478,definition,(
% 0.13/10.46 ![X0]: (sQ34_spl <=> (v3_struct_0(X0)|~v3_rlvect_1(X0)|~v4_rlvect_1(X0)|~v5_rlvect_1(X0)|~v6_rlvect_1(X0)|~v4_group_1(X0)|~v7_group_1(X0)|~v6_vectsp_1(X0)|~v7_vectsp_1(X0)|~v8_vectsp_1(X0)|v10_vectsp_1(X0)|~v2_vectsp_2(X0)|~l3_vectsp_1(X0)|~v5_vectsp_2(sK1_skl,X0)|~l1_vectsp_2(sK1_skl,X0)|~v3_vectsp_2(sK1_skl,X0)|~m1_rmod_2(sK1_skl,X0,sK1_skl)|k1_rlvect_1(X0)=k2_group_1(X0)|k1_rmod_5(X0,sK1_skl,u1_struct_0(sK1_skl))=sK1_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f479,plain,(
% 0.13/10.46 ![X0]: (v3_struct_0(X0)|~v3_rlvect_1(X0)|~v4_rlvect_1(X0)|~v5_rlvect_1(X0)|~v6_rlvect_1(X0)|~v4_group_1(X0)|~v7_group_1(X0)|~v6_vectsp_1(X0)|~v7_vectsp_1(X0)|~v8_vectsp_1(X0)|v10_vectsp_1(X0)|~v2_vectsp_2(X0)|~l3_vectsp_1(X0)|~v5_vectsp_2(sK1_skl,X0)|~l1_vectsp_2(sK1_skl,X0)|~v3_vectsp_2(sK1_skl,X0)|~m1_rmod_2(sK1_skl,X0,sK1_skl)|k1_rlvect_1(X0)=k2_group_1(X0)|k1_rmod_5(X0,sK1_skl,u1_struct_0(sK1_skl))=sK1_skl|~sQ34_spl)),
% 0.13/10.46 inference(component_clause,[status(thm)],[f478])).
% 0.13/10.46 fof(f481,plain,(
% 0.13/10.46 sQ34_spl|~sQ33_spl|~sQ25_spl),
% 0.13/10.46 inference(split_clause,[status(thm)],[f477,f478,f473,f429])).
% 0.13/10.46 fof(f482,plain,(
% 0.13/10.46 $false|sQ33_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f475,f299])).
% 0.13/10.46 fof(f483,plain,(
% 0.13/10.46 sQ33_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f482])).
% 0.13/10.46 fof(f484,plain,(
% 0.13/10.46 ![X0]: (v3_struct_0(X0)|~v3_rlvect_1(X0)|~v4_rlvect_1(X0)|~v5_rlvect_1(X0)|~v6_rlvect_1(X0)|~v4_group_1(X0)|~v7_group_1(X0)|~v6_vectsp_1(X0)|~v7_vectsp_1(X0)|~v8_vectsp_1(X0)|v10_vectsp_1(X0)|~v2_vectsp_2(X0)|~l3_vectsp_1(X0)|~v5_vectsp_2(sK1_skl,X0)|~l1_vectsp_2(sK1_skl,X0)|~v3_vectsp_2(sK1_skl,X0)|~m1_rmod_2(sK1_skl,X0,sK1_skl)|k1_rlvect_1(X0)=k2_group_1(X0)|k1_rmod_5(X0,sK1_skl,sK2_skl)=sK1_skl|~sQ34_spl)),
% 0.13/10.46 inference(forward_demodulation,[status(thm)],[f98,f479])).
% 0.13/10.46 fof(f506,plain,(
% 0.13/10.46 l1_rlvect_1(sK0_skl)),
% 0.13/10.46 inference(resolution,[status(thm)],[f147,f88])).
% 0.13/10.46 fof(f508,plain,(
% 0.13/10.46 l2_struct_0(sK0_skl)),
% 0.13/10.46 inference(resolution,[status(thm)],[f506,f136])).
% 0.13/10.46 fof(f511,plain,(
% 0.13/10.46 l1_struct_0(sK0_skl)),
% 0.13/10.46 inference(resolution,[status(thm)],[f508,f142])).
% 0.13/10.46 fof(f513,plain,(
% 0.13/10.46 $false|sQ28_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f511,f454])).
% 0.13/10.46 fof(f514,plain,(
% 0.13/10.46 sQ28_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f513])).
% 0.13/10.46 fof(f515,plain,(
% 0.13/10.46 sK1_skl=g1_vectsp_2(sK0_skl,sK2_skl,u1_rlvect_1(sK1_skl),u2_struct_0(sK1_skl),u1_vectsp_2(sK0_skl,sK1_skl))|~sQ29_spl),
% 0.13/10.46 inference(forward_demodulation,[status(thm)],[f98,f456])).
% 0.13/10.46 fof(f565,plain,(
% 0.13/10.46 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)|~l1_vectsp_2(sK1_skl,sK0_skl)|k2_rmod_2(sK0_skl,sK1_skl)=g1_vectsp_2(sK0_skl,u1_struct_0(sK1_skl),u1_rlvect_1(sK1_skl),u2_struct_0(sK1_skl),u1_vectsp_2(sK0_skl,sK1_skl))),
% 0.13/10.46 inference(resolution,[status(thm)],[f119,f95])).
% 0.13/10.46 fof(f566,definition,(
% 0.13/10.46 sQ44_spl <=> (k2_rmod_2(sK0_skl,sK1_skl)=g1_vectsp_2(sK0_skl,u1_struct_0(sK1_skl),u1_rlvect_1(sK1_skl),u2_struct_0(sK1_skl),u1_vectsp_2(sK0_skl,sK1_skl)))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f567,plain,(
% 0.13/10.46 k2_rmod_2(sK0_skl,sK1_skl)=g1_vectsp_2(sK0_skl,u1_struct_0(sK1_skl),u1_rlvect_1(sK1_skl),u2_struct_0(sK1_skl),u1_vectsp_2(sK0_skl,sK1_skl))|~sQ44_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f566])).
% 0.13/10.46 fof(f569,plain,(
% 0.13/10.46 sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|~sQ16_spl|sQ17_spl|~sQ18_spl|~sQ19_spl|~sQ20_spl|~sQ21_spl|~sQ22_spl|sQ44_spl),
% 0.13/10.46 inference(split_clause,[status(thm)],[f565,f319,f322,f325,f328,f331,f334,f340,f343,f346,f355,f358,f361,f364,f367,f370,f373,f566])).
% 0.13/10.46 fof(f570,plain,(
% 0.13/10.46 k2_rmod_2(sK0_skl,sK1_skl)=g1_vectsp_2(sK0_skl,sK2_skl,u1_rlvect_1(sK1_skl),u2_struct_0(sK1_skl),u1_vectsp_2(sK0_skl,sK1_skl))|~sQ44_spl),
% 0.13/10.46 inference(forward_demodulation,[status(thm)],[f98,f567])).
% 0.13/10.46 fof(f571,plain,(
% 0.13/10.46 k2_rmod_2(sK0_skl,sK1_skl)=sK1_skl|~sQ29_spl|~sQ44_spl),
% 0.13/10.46 inference(forward_demodulation,[status(thm)],[f515,f570])).
% 0.13/10.46 fof(f602,plain,(
% 0.13/10.46 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)|~l1_vectsp_2(sK1_skl,sK0_skl)|m1_rmod_2(k2_rmod_2(sK0_skl,sK1_skl),sK0_skl,sK1_skl)),
% 0.13/10.46 inference(resolution,[status(thm)],[f132,f95])).
% 0.13/10.46 fof(f603,definition,(
% 0.13/10.46 sQ47_spl <=> (m1_rmod_2(k2_rmod_2(sK0_skl,sK1_skl),sK0_skl,sK1_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f604,plain,(
% 0.13/10.46 m1_rmod_2(k2_rmod_2(sK0_skl,sK1_skl),sK0_skl,sK1_skl)|~sQ47_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f603])).
% 0.13/10.46 fof(f606,plain,(
% 0.13/10.46 sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|~sQ16_spl|sQ17_spl|~sQ18_spl|~sQ19_spl|~sQ20_spl|~sQ21_spl|~sQ22_spl|sQ47_spl),
% 0.13/10.46 inference(split_clause,[status(thm)],[f602,f319,f322,f325,f328,f331,f334,f340,f343,f346,f355,f358,f361,f364,f367,f370,f373,f603])).
% 0.13/10.46 fof(f607,plain,(
% 0.13/10.46 m1_rmod_2(sK1_skl,sK0_skl,sK1_skl)|~sQ29_spl|~sQ44_spl|~sQ47_spl),
% 0.13/10.46 inference(forward_demodulation,[status(thm)],[f571,f604])).
% 0.13/10.46 fof(f608,plain,(
% 0.13/10.46 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)|~v7_group_1(sK0_skl)|~v6_vectsp_1(sK0_skl)|~v7_vectsp_1(sK0_skl)|~v8_vectsp_1(sK0_skl)|v10_vectsp_1(sK0_skl)|~v2_vectsp_2(sK0_skl)|~l3_vectsp_1(sK0_skl)|~v5_vectsp_2(sK1_skl,sK0_skl)|~l1_vectsp_2(sK1_skl,sK0_skl)|~v3_vectsp_2(sK1_skl,sK0_skl)|k1_rlvect_1(sK0_skl)=k2_group_1(sK0_skl)|k1_rmod_5(sK0_skl,sK1_skl,sK2_skl)=sK1_skl|~sQ29_spl|~sQ44_spl|~sQ47_spl|~sQ34_spl),
% 0.13/10.46 inference(resolution,[status(thm)],[f607,f484])).
% 0.13/10.46 fof(f609,definition,(
% 0.13/10.46 sQ48_spl <=> (v5_vectsp_2(sK1_skl,sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f611,plain,(
% 0.13/10.46 ~v5_vectsp_2(sK1_skl,sK0_skl)|sQ48_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f609])).
% 0.13/10.46 fof(f612,definition,(
% 0.13/10.46 sQ49_spl <=> (v3_vectsp_2(sK1_skl,sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f614,plain,(
% 0.13/10.46 ~v3_vectsp_2(sK1_skl,sK0_skl)|sQ49_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f612])).
% 0.13/10.46 fof(f615,definition,(
% 0.13/10.46 sQ50_spl <=> (k1_rlvect_1(sK0_skl)=k2_group_1(sK0_skl))),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f616,plain,(
% 0.13/10.46 k1_rlvect_1(sK0_skl)=k2_group_1(sK0_skl)|~sQ50_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f615])).
% 0.13/10.46 fof(f618,definition,(
% 0.13/10.46 sQ51_spl <=> (k1_rmod_5(sK0_skl,sK1_skl,sK2_skl)=sK1_skl)),
% 0.13/10.46 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.13/10.46 fof(f619,plain,(
% 0.13/10.46 k1_rmod_5(sK0_skl,sK1_skl,sK2_skl)=sK1_skl|~sQ51_spl),
% 0.13/10.46 inference(component_clause,[status(thm)],[f618])).
% 0.13/10.46 fof(f621,plain,(
% 0.13/10.46 sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|sQ14_spl|~sQ15_spl|~sQ16_spl|~sQ48_spl|~sQ22_spl|~sQ49_spl|sQ50_spl|sQ51_spl|~sQ29_spl|~sQ44_spl|~sQ47_spl|~sQ34_spl),
% 0.13/10.46 inference(split_clause,[status(thm)],[f608,f319,f322,f325,f328,f331,f334,f337,f340,f343,f346,f349,f352,f355,f609,f373,f612,f615,f618,f455,f566,f603,f478])).
% 0.13/10.46 fof(f622,plain,(
% 0.13/10.46 $false|~sQ51_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f619,f100])).
% 0.13/10.46 fof(f623,plain,(
% 0.13/10.46 ~sQ51_spl),
% 0.13/10.46 inference(contradiction_clause,[status(thm)],[f622])).
% 0.13/10.46 fof(f624,plain,(
% 0.13/10.46 $false|~sQ50_spl),
% 0.13/10.46 inference(forward_subsumption_resolution,[status(thm)],[f616,f99])).
% 0.13/10.48 fof(f625,plain,(
% 0.13/10.48 ~sQ50_spl),
% 0.13/10.48 inference(contradiction_clause,[status(thm)],[f624])).
% 0.13/10.48 fof(f626,plain,(
% 0.13/10.48 $false|sQ48_spl),
% 0.13/10.48 inference(forward_subsumption_resolution,[status(thm)],[f611,f95])).
% 0.13/10.48 fof(f627,plain,(
% 0.13/10.48 sQ48_spl),
% 0.13/10.48 inference(contradiction_clause,[status(thm)],[f626])).
% 0.13/10.48 fof(f628,plain,(
% 0.13/10.48 $false|sQ49_spl),
% 0.13/10.48 inference(forward_subsumption_resolution,[status(thm)],[f614,f94])).
% 0.13/10.48 fof(f629,plain,(
% 0.13/10.48 sQ49_spl),
% 0.13/10.48 inference(contradiction_clause,[status(thm)],[f628])).
% 0.13/10.48 fof(f630,plain,(
% 0.13/10.48 $false),
% 0.13/10.48 inference(sat_refutation,[status(thm)],[f388,f390,f392,f394,f396,f398,f400,f402,f404,f406,f408,f410,f412,f414,f416,f418,f420,f422,f424,f432,f458,f481,f483,f514,f569,f606,f621,f623,f625,f627,f629])).
% 0.13/10.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/10.48 % Elapsed time: 0.069753 seconds
% 0.13/10.48 % CPU time: 0.224593 seconds
% 0.13/10.48 % Total memory used: 75.677 MB
% 0.13/10.48 % Net memory used: 75.579 MB
%------------------------------------------------------------------------------