TSTP Solution File: ALG222+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG222+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:11:05 EDT 2024
% Result : Theorem 1.63s 0.58s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG222+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 23:22:56 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 1.63/0.58 % Refutation found
% 1.63/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.63/0.58 % SZS output start CNFRefutation for theBenchmark
% 1.63/0.58 fof(f1,conjecture,(
% 1.63/0.58 (! [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] :( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))=> m1_rmod_2(k1_rmod_5(A,B,k5_subset_1(u1_struct_0(B),C,D)),A,k2_rmod_3(A,B,k1_rmod_5(A,B,C),k1_rmod_5(A,B,D))) ) )) )) )) )),
% 1.63/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.63/0.58 fof(f2,negated_conjecture,(
% 1.63/0.58 ~((! [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] :( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))=> m1_rmod_2(k1_rmod_5(A,B,k5_subset_1(u1_struct_0(B),C,D)),A,k2_rmod_3(A,B,k1_rmod_5(A,B,C),k1_rmod_5(A,B,D))) ) )) )) )) ))),
% 1.63/0.58 inference(negated_conjecture,[status(cth)],[f1])).
% 1.63/0.58 fof(f8,axiom,(
% 1.63/0.58 (! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A) )),
% 1.63/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.63/0.58 fof(f11,axiom,(
% 1.63/0.58 (! [A,B,C] :( ( ~ 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)& ~ 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)& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )=> ( v3_vectsp_2(k1_rmod_5(A,B,C),A)& m1_rmod_2(k1_rmod_5(A,B,C),A,B) ) ) )),
% 1.63/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.63/0.58 fof(f17,axiom,(
% 1.63/0.58 (! [A,B,C] :( ( m1_subset_1(B,k1_zfmisc_1(A))& m1_subset_1(C,k1_zfmisc_1(A)) )=> m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)) ) )),
% 1.63/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.63/0.58 fof(f66,axiom,(
% 1.63/0.58 (! [A,B,C] :( ( m1_subset_1(B,k1_zfmisc_1(A))& m1_subset_1(C,k1_zfmisc_1(A)) )=> k5_subset_1(A,B,C) = k3_xboole_0(B,C) ) )),
% 1.63/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.63/0.58 fof(f69,axiom,(
% 1.63/0.58 (! [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] :( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))=> ( r1_tarski(C,D)=> m1_rmod_2(k1_rmod_5(A,B,C),A,k1_rmod_5(A,B,D)) ) ) )) )) )) )),
% 1.63/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.63/0.58 fof(f70,axiom,(
% 1.63/0.58 (! [A,B] : r1_tarski(k3_xboole_0(A,B),A) )),
% 1.63/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.63/0.58 fof(f72,axiom,(
% 1.63/0.58 (! [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_rmod_2(C,A,B)=> (! [D] :( m1_rmod_2(D,A,B)=> (! [E] :( m1_rmod_2(E,A,B)=> ( ( m1_rmod_2(C,A,D)& m1_rmod_2(C,A,E) )=> m1_rmod_2(C,A,k2_rmod_3(A,B,D,E)) ) ) )) )) )) )) )),
% 1.63/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.63/0.58 fof(f81,plain,(
% 1.63/0.58 (?[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]: (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))&~m1_rmod_2(k1_rmod_5(A,B,k5_subset_1(u1_struct_0(B),C,D)),A,k2_rmod_3(A,B,k1_rmod_5(A,B,C),k1_rmod_5(A,B,D)))))))))))),
% 1.63/0.58 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 1.63/0.58 fof(f82,plain,(
% 1.63/0.58 (((((((((((((~v3_struct_0(sk0_0)&v3_rlvect_1(sk0_0))&v4_rlvect_1(sk0_0))&v5_rlvect_1(sk0_0))&v6_rlvect_1(sk0_0))&v4_group_1(sk0_0))&v7_group_1(sk0_0))&v6_vectsp_1(sk0_0))&v7_vectsp_1(sk0_0))&v8_vectsp_1(sk0_0))&~v10_vectsp_1(sk0_0))&v2_vectsp_2(sk0_0))&l3_vectsp_1(sk0_0))&(((((((~v3_struct_0(sk0_1)&v3_rlvect_1(sk0_1))&v4_rlvect_1(sk0_1))&v5_rlvect_1(sk0_1))&v6_rlvect_1(sk0_1))&v5_vectsp_2(sk0_1,sk0_0))&l1_vectsp_2(sk0_1,sk0_0))&(m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_1)))&(m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(sk0_1)))&~m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,k5_subset_1(u1_struct_0(sk0_1),sk0_2,sk0_3)),sk0_0,k2_rmod_3(sk0_0,sk0_1,k1_rmod_5(sk0_0,sk0_1,sk0_2),k1_rmod_5(sk0_0,sk0_1,sk0_3)))))))),
% 1.63/0.58 inference(skolemization,[status(esa)],[f81])).
% 1.63/0.58 fof(f83,plain,(
% 1.63/0.58 ~v3_struct_0(sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f84,plain,(
% 1.63/0.58 v3_rlvect_1(sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f85,plain,(
% 1.63/0.58 v4_rlvect_1(sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f86,plain,(
% 1.63/0.58 v5_rlvect_1(sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f87,plain,(
% 1.63/0.58 v6_rlvect_1(sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f88,plain,(
% 1.63/0.58 v4_group_1(sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f89,plain,(
% 1.63/0.58 v7_group_1(sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f90,plain,(
% 1.63/0.58 v6_vectsp_1(sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f91,plain,(
% 1.63/0.58 v7_vectsp_1(sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f92,plain,(
% 1.63/0.58 v8_vectsp_1(sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f93,plain,(
% 1.63/0.58 ~v10_vectsp_1(sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f94,plain,(
% 1.63/0.58 v2_vectsp_2(sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f95,plain,(
% 1.63/0.58 l3_vectsp_1(sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f96,plain,(
% 1.63/0.58 ~v3_struct_0(sk0_1)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f97,plain,(
% 1.63/0.58 v3_rlvect_1(sk0_1)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f98,plain,(
% 1.63/0.58 v4_rlvect_1(sk0_1)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f99,plain,(
% 1.63/0.58 v5_rlvect_1(sk0_1)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f100,plain,(
% 1.63/0.58 v6_rlvect_1(sk0_1)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f101,plain,(
% 1.63/0.58 v5_vectsp_2(sk0_1,sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f102,plain,(
% 1.63/0.58 l1_vectsp_2(sk0_1,sk0_0)),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f103,plain,(
% 1.63/0.58 m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_1)))),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f104,plain,(
% 1.63/0.58 m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(sk0_1)))),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f105,plain,(
% 1.63/0.58 ~m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,k5_subset_1(u1_struct_0(sk0_1),sk0_2,sk0_3)),sk0_0,k2_rmod_3(sk0_0,sk0_1,k1_rmod_5(sk0_0,sk0_1,sk0_2),k1_rmod_5(sk0_0,sk0_1,sk0_3)))),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f82])).
% 1.63/0.58 fof(f123,plain,(
% 1.63/0.58 ![X0,X1]: (k3_xboole_0(X0,X1)=k3_xboole_0(X1,X0))),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f8])).
% 1.63/0.58 fof(f129,plain,(
% 1.63/0.58 ![A,B,C]: (((((((((((((((((((((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))|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))|~m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))))|(v3_vectsp_2(k1_rmod_5(A,B,C),A)&m1_rmod_2(k1_rmod_5(A,B,C),A,B)))),
% 1.63/0.58 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 1.63/0.58 fof(f131,plain,(
% 1.63/0.58 ![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(X2,k1_zfmisc_1(u1_struct_0(X1)))|m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1))),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f129])).
% 1.63/0.58 fof(f135,plain,(
% 1.63/0.58 ![A,B,C]: ((~m1_subset_1(B,k1_zfmisc_1(A))|~m1_subset_1(C,k1_zfmisc_1(A)))|m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)))),
% 1.63/0.58 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 1.63/0.58 fof(f136,plain,(
% 1.63/0.58 ![X0,X1,X2]: (~m1_subset_1(X0,k1_zfmisc_1(X1))|~m1_subset_1(X2,k1_zfmisc_1(X1))|m1_subset_1(k5_subset_1(X1,X0,X2),k1_zfmisc_1(X1)))),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f135])).
% 1.63/0.58 fof(f277,plain,(
% 1.63/0.58 ![A,B,C]: ((~m1_subset_1(B,k1_zfmisc_1(A))|~m1_subset_1(C,k1_zfmisc_1(A)))|k5_subset_1(A,B,C)=k3_xboole_0(B,C))),
% 1.63/0.58 inference(pre_NNF_transformation,[status(esa)],[f66])).
% 1.63/0.58 fof(f278,plain,(
% 1.63/0.58 ![X0,X1,X2]: (~m1_subset_1(X0,k1_zfmisc_1(X1))|~m1_subset_1(X2,k1_zfmisc_1(X1))|k5_subset_1(X1,X0,X2)=k3_xboole_0(X0,X2))),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f277])).
% 1.63/0.58 fof(f285,plain,(
% 1.63/0.58 ![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]: (~m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))|(~r1_tarski(C,D)|m1_rmod_2(k1_rmod_5(A,B,C),A,k1_rmod_5(A,B,D))))))))))),
% 1.63/0.58 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 1.63/0.58 fof(f286,plain,(
% 1.63/0.58 ![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)))|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))|~r1_tarski(X2,X3)|m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3)))),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f285])).
% 1.63/0.58 fof(f287,plain,(
% 1.63/0.58 ![X0,X1]: (r1_tarski(k3_xboole_0(X0,X1),X0))),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f70])).
% 1.63/0.58 fof(f290,plain,(
% 1.63/0.58 ![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_rmod_2(C,A,B)|(![D]: (~m1_rmod_2(D,A,B)|(![E]: (~m1_rmod_2(E,A,B)|((~m1_rmod_2(C,A,D)|~m1_rmod_2(C,A,E))|m1_rmod_2(C,A,k2_rmod_3(A,B,D,E))))))))))))),
% 1.63/0.58 inference(pre_NNF_transformation,[status(esa)],[f72])).
% 1.63/0.58 fof(f291,plain,(
% 1.63/0.58 ![X0,X1,X2,X3,X4]: (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(X2,X0,X1)|~m1_rmod_2(X3,X0,X1)|~m1_rmod_2(X4,X0,X1)|~m1_rmod_2(X2,X0,X3)|~m1_rmod_2(X2,X0,X4)|m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4)))),
% 1.63/0.58 inference(cnf_transformation,[status(esa)],[f290])).
% 1.63/0.58 fof(f317,plain,(
% 1.63/0.58 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_1)))|k5_subset_1(u1_struct_0(sk0_1),X0,sk0_3)=k3_xboole_0(X0,sk0_3))),
% 1.63/0.58 inference(resolution,[status(thm)],[f278,f104])).
% 1.63/0.58 fof(f321,plain,(
% 1.63/0.58 k5_subset_1(u1_struct_0(sk0_1),sk0_2,sk0_3)=k3_xboole_0(sk0_2,sk0_3)),
% 1.63/0.58 inference(resolution,[status(thm)],[f317,f103])).
% 1.63/0.58 fof(f322,plain,(
% 1.63/0.58 ~m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,k3_xboole_0(sk0_2,sk0_3)),sk0_0,k2_rmod_3(sk0_0,sk0_1,k1_rmod_5(sk0_0,sk0_1,sk0_2),k1_rmod_5(sk0_0,sk0_1,sk0_3)))),
% 1.63/0.58 inference(backward_demodulation,[status(thm)],[f321,f105])).
% 1.63/0.58 fof(f335,plain,(
% 1.63/0.58 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_1)))|m1_subset_1(k5_subset_1(u1_struct_0(sk0_1),X0,sk0_3),k1_zfmisc_1(u1_struct_0(sk0_1))))),
% 1.63/0.58 inference(resolution,[status(thm)],[f136,f104])).
% 1.63/0.58 fof(f339,plain,(
% 1.63/0.58 m1_subset_1(k5_subset_1(u1_struct_0(sk0_1),sk0_2,sk0_3),k1_zfmisc_1(u1_struct_0(sk0_1)))),
% 1.63/0.58 inference(resolution,[status(thm)],[f335,f103])).
% 1.63/0.58 fof(f340,plain,(
% 1.63/0.58 m1_subset_1(k3_xboole_0(sk0_2,sk0_3),k1_zfmisc_1(u1_struct_0(sk0_1)))),
% 1.63/0.58 inference(forward_demodulation,[status(thm)],[f321,f339])).
% 1.63/0.58 fof(f485,plain,(
% 1.63/0.58 spl0_0 <=> m1_subset_1(k3_xboole_0(sk0_2,sk0_3),k1_zfmisc_1(u1_struct_0(sk0_1)))),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f487,plain,(
% 1.63/0.58 ~m1_subset_1(k3_xboole_0(sk0_2,sk0_3),k1_zfmisc_1(u1_struct_0(sk0_1)))|spl0_0),
% 1.63/0.58 inference(component_clause,[status(thm)],[f485])).
% 1.63/0.58 fof(f493,plain,(
% 1.63/0.58 spl0_2 <=> m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_1)))),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f495,plain,(
% 1.63/0.58 ~m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_1)))|spl0_2),
% 1.63/0.58 inference(component_clause,[status(thm)],[f493])).
% 1.63/0.58 fof(f501,plain,(
% 1.63/0.58 spl0_4 <=> m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(sk0_1)))),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f503,plain,(
% 1.63/0.58 ~m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(sk0_1)))|spl0_4),
% 1.63/0.58 inference(component_clause,[status(thm)],[f501])).
% 1.63/0.58 fof(f509,plain,(
% 1.63/0.58 $false|spl0_4),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f503,f104])).
% 1.63/0.58 fof(f510,plain,(
% 1.63/0.58 spl0_4),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f509])).
% 1.63/0.58 fof(f511,plain,(
% 1.63/0.58 $false|spl0_2),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f495,f103])).
% 1.63/0.58 fof(f512,plain,(
% 1.63/0.58 spl0_2),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f511])).
% 1.63/0.58 fof(f513,plain,(
% 1.63/0.58 $false|spl0_0),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f487,f340])).
% 1.63/0.58 fof(f514,plain,(
% 1.63/0.58 spl0_0),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f513])).
% 1.63/0.58 fof(f997,plain,(
% 1.63/0.58 spl0_14 <=> v3_struct_0(sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f998,plain,(
% 1.63/0.58 v3_struct_0(sk0_0)|~spl0_14),
% 1.63/0.58 inference(component_clause,[status(thm)],[f997])).
% 1.63/0.58 fof(f1000,plain,(
% 1.63/0.58 spl0_15 <=> v3_rlvect_1(sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f1002,plain,(
% 1.63/0.58 ~v3_rlvect_1(sk0_0)|spl0_15),
% 1.63/0.58 inference(component_clause,[status(thm)],[f1000])).
% 1.63/0.58 fof(f1003,plain,(
% 1.63/0.58 spl0_16 <=> v4_rlvect_1(sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f1005,plain,(
% 1.63/0.58 ~v4_rlvect_1(sk0_0)|spl0_16),
% 1.63/0.58 inference(component_clause,[status(thm)],[f1003])).
% 1.63/0.58 fof(f1006,plain,(
% 1.63/0.58 spl0_17 <=> v5_rlvect_1(sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f1008,plain,(
% 1.63/0.58 ~v5_rlvect_1(sk0_0)|spl0_17),
% 1.63/0.58 inference(component_clause,[status(thm)],[f1006])).
% 1.63/0.58 fof(f1009,plain,(
% 1.63/0.58 spl0_18 <=> v6_rlvect_1(sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f1011,plain,(
% 1.63/0.58 ~v6_rlvect_1(sk0_0)|spl0_18),
% 1.63/0.58 inference(component_clause,[status(thm)],[f1009])).
% 1.63/0.58 fof(f1012,plain,(
% 1.63/0.58 spl0_19 <=> v4_group_1(sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f1014,plain,(
% 1.63/0.58 ~v4_group_1(sk0_0)|spl0_19),
% 1.63/0.58 inference(component_clause,[status(thm)],[f1012])).
% 1.63/0.58 fof(f1015,plain,(
% 1.63/0.58 spl0_20 <=> v7_vectsp_1(sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f1017,plain,(
% 1.63/0.58 ~v7_vectsp_1(sk0_0)|spl0_20),
% 1.63/0.58 inference(component_clause,[status(thm)],[f1015])).
% 1.63/0.58 fof(f1018,plain,(
% 1.63/0.58 spl0_21 <=> v8_vectsp_1(sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f1020,plain,(
% 1.63/0.58 ~v8_vectsp_1(sk0_0)|spl0_21),
% 1.63/0.58 inference(component_clause,[status(thm)],[f1018])).
% 1.63/0.58 fof(f1021,plain,(
% 1.63/0.58 spl0_22 <=> l3_vectsp_1(sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f1023,plain,(
% 1.63/0.58 ~l3_vectsp_1(sk0_0)|spl0_22),
% 1.63/0.58 inference(component_clause,[status(thm)],[f1021])).
% 1.63/0.58 fof(f1029,plain,(
% 1.63/0.58 spl0_24 <=> v6_vectsp_1(sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f1031,plain,(
% 1.63/0.58 ~v6_vectsp_1(sk0_0)|spl0_24),
% 1.63/0.58 inference(component_clause,[status(thm)],[f1029])).
% 1.63/0.58 fof(f1036,plain,(
% 1.63/0.58 $false|spl0_20),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1017,f91])).
% 1.63/0.58 fof(f1037,plain,(
% 1.63/0.58 spl0_20),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f1036])).
% 1.63/0.58 fof(f1038,plain,(
% 1.63/0.58 $false|spl0_24),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1031,f90])).
% 1.63/0.58 fof(f1039,plain,(
% 1.63/0.58 spl0_24),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f1038])).
% 1.63/0.58 fof(f1040,plain,(
% 1.63/0.58 $false|spl0_21),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1020,f92])).
% 1.63/0.58 fof(f1041,plain,(
% 1.63/0.58 spl0_21),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f1040])).
% 1.63/0.58 fof(f1042,plain,(
% 1.63/0.58 $false|spl0_22),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1023,f95])).
% 1.63/0.58 fof(f1043,plain,(
% 1.63/0.58 spl0_22),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f1042])).
% 1.63/0.58 fof(f1044,plain,(
% 1.63/0.58 $false|spl0_19),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1014,f88])).
% 1.63/0.58 fof(f1045,plain,(
% 1.63/0.58 spl0_19),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f1044])).
% 1.63/0.58 fof(f1046,plain,(
% 1.63/0.58 $false|spl0_18),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1011,f87])).
% 1.63/0.58 fof(f1047,plain,(
% 1.63/0.58 spl0_18),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f1046])).
% 1.63/0.58 fof(f1048,plain,(
% 1.63/0.58 $false|spl0_17),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1008,f86])).
% 1.63/0.58 fof(f1049,plain,(
% 1.63/0.58 spl0_17),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f1048])).
% 1.63/0.58 fof(f1050,plain,(
% 1.63/0.58 $false|spl0_16),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1005,f85])).
% 1.63/0.58 fof(f1051,plain,(
% 1.63/0.58 spl0_16),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f1050])).
% 1.63/0.58 fof(f1052,plain,(
% 1.63/0.58 $false|spl0_15),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1002,f84])).
% 1.63/0.58 fof(f1053,plain,(
% 1.63/0.58 spl0_15),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f1052])).
% 1.63/0.58 fof(f1054,plain,(
% 1.63/0.58 $false|~spl0_14),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f998,f83])).
% 1.63/0.58 fof(f1055,plain,(
% 1.63/0.58 ~spl0_14),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f1054])).
% 1.63/0.58 fof(f1075,plain,(
% 1.63/0.58 ![X0,X1]: (r1_tarski(k3_xboole_0(X0,X1),X1))),
% 1.63/0.58 inference(paramodulation,[status(thm)],[f123,f287])).
% 1.63/0.58 fof(f1102,plain,(
% 1.63/0.58 spl0_26 <=> v7_group_1(sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f1104,plain,(
% 1.63/0.58 ~v7_group_1(sk0_0)|spl0_26),
% 1.63/0.58 inference(component_clause,[status(thm)],[f1102])).
% 1.63/0.58 fof(f2262,plain,(
% 1.63/0.58 spl0_67 <=> v3_struct_0(sk0_1)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2263,plain,(
% 1.63/0.58 v3_struct_0(sk0_1)|~spl0_67),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2262])).
% 1.63/0.58 fof(f2568,plain,(
% 1.63/0.58 spl0_74 <=> v3_struct_0(X0)|~v3_rlvect_1(X0)|~v4_rlvect_1(X0)|~v5_rlvect_1(X0)|~v6_rlvect_1(X0)|~v5_vectsp_2(X0,sk0_0)|~l1_vectsp_2(X0,sk0_0)|~m1_rmod_2(X1,sk0_0,X0)|~m1_rmod_2(X2,sk0_0,X0)|~m1_rmod_2(X3,sk0_0,X0)|~m1_rmod_2(X1,sk0_0,X2)|~m1_rmod_2(X1,sk0_0,X3)|m1_rmod_2(X1,sk0_0,k2_rmod_3(sk0_0,X0,X2,X3))),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2569,plain,(
% 1.63/0.58 ![X0,X1,X2,X3]: (v3_struct_0(X0)|~v3_rlvect_1(X0)|~v4_rlvect_1(X0)|~v5_rlvect_1(X0)|~v6_rlvect_1(X0)|~v5_vectsp_2(X0,sk0_0)|~l1_vectsp_2(X0,sk0_0)|~m1_rmod_2(X1,sk0_0,X0)|~m1_rmod_2(X2,sk0_0,X0)|~m1_rmod_2(X3,sk0_0,X0)|~m1_rmod_2(X1,sk0_0,X2)|~m1_rmod_2(X1,sk0_0,X3)|m1_rmod_2(X1,sk0_0,k2_rmod_3(sk0_0,X0,X2,X3))|~spl0_74)),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2568])).
% 1.63/0.58 fof(f2573,plain,(
% 1.63/0.58 ![X0,X1,X2,X3]: (v3_struct_0(sk0_0)|~v3_rlvect_1(sk0_0)|~v4_rlvect_1(sk0_0)|~v5_rlvect_1(sk0_0)|~v6_rlvect_1(sk0_0)|~v4_group_1(sk0_0)|~v6_vectsp_1(sk0_0)|~v7_vectsp_1(sk0_0)|~l3_vectsp_1(sk0_0)|v3_struct_0(X0)|~v3_rlvect_1(X0)|~v4_rlvect_1(X0)|~v5_rlvect_1(X0)|~v6_rlvect_1(X0)|~v5_vectsp_2(X0,sk0_0)|~l1_vectsp_2(X0,sk0_0)|~m1_rmod_2(X1,sk0_0,X0)|~m1_rmod_2(X2,sk0_0,X0)|~m1_rmod_2(X3,sk0_0,X0)|~m1_rmod_2(X1,sk0_0,X2)|~m1_rmod_2(X1,sk0_0,X3)|m1_rmod_2(X1,sk0_0,k2_rmod_3(sk0_0,X0,X2,X3)))),
% 1.63/0.58 inference(resolution,[status(thm)],[f291,f92])).
% 1.63/0.58 fof(f2574,plain,(
% 1.63/0.58 spl0_14|~spl0_15|~spl0_16|~spl0_17|~spl0_18|~spl0_19|~spl0_24|~spl0_20|~spl0_22|spl0_74),
% 1.63/0.58 inference(split_clause,[status(thm)],[f2573,f997,f1000,f1003,f1006,f1009,f1012,f1029,f1015,f1021,f2568])).
% 1.63/0.58 fof(f2888,plain,(
% 1.63/0.58 spl0_111 <=> v3_rlvect_1(sk0_1)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2890,plain,(
% 1.63/0.58 ~v3_rlvect_1(sk0_1)|spl0_111),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2888])).
% 1.63/0.58 fof(f2891,plain,(
% 1.63/0.58 spl0_112 <=> v4_rlvect_1(sk0_1)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2893,plain,(
% 1.63/0.58 ~v4_rlvect_1(sk0_1)|spl0_112),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2891])).
% 1.63/0.58 fof(f2894,plain,(
% 1.63/0.58 spl0_113 <=> v5_rlvect_1(sk0_1)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2896,plain,(
% 1.63/0.58 ~v5_rlvect_1(sk0_1)|spl0_113),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2894])).
% 1.63/0.58 fof(f2897,plain,(
% 1.63/0.58 spl0_114 <=> v6_rlvect_1(sk0_1)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2899,plain,(
% 1.63/0.58 ~v6_rlvect_1(sk0_1)|spl0_114),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2897])).
% 1.63/0.58 fof(f2900,plain,(
% 1.63/0.58 spl0_115 <=> v5_vectsp_2(sk0_1,sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2902,plain,(
% 1.63/0.58 ~v5_vectsp_2(sk0_1,sk0_0)|spl0_115),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2900])).
% 1.63/0.58 fof(f2903,plain,(
% 1.63/0.58 spl0_116 <=> l1_vectsp_2(sk0_1,sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2905,plain,(
% 1.63/0.58 ~l1_vectsp_2(sk0_1,sk0_0)|spl0_116),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2903])).
% 1.63/0.58 fof(f2906,plain,(
% 1.63/0.58 spl0_117 <=> m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,k3_xboole_0(sk0_2,sk0_3)),sk0_0,sk0_1)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2908,plain,(
% 1.63/0.58 ~m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,k3_xboole_0(sk0_2,sk0_3)),sk0_0,sk0_1)|spl0_117),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2906])).
% 1.63/0.58 fof(f2909,plain,(
% 1.63/0.58 spl0_118 <=> m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,sk0_2),sk0_0,sk0_1)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2911,plain,(
% 1.63/0.58 ~m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,sk0_2),sk0_0,sk0_1)|spl0_118),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2909])).
% 1.63/0.58 fof(f2912,plain,(
% 1.63/0.58 spl0_119 <=> m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,sk0_3),sk0_0,sk0_1)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2914,plain,(
% 1.63/0.58 ~m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,sk0_3),sk0_0,sk0_1)|spl0_119),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2912])).
% 1.63/0.58 fof(f2915,plain,(
% 1.63/0.58 spl0_120 <=> m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,k3_xboole_0(sk0_2,sk0_3)),sk0_0,k1_rmod_5(sk0_0,sk0_1,sk0_2))),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2917,plain,(
% 1.63/0.58 ~m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,k3_xboole_0(sk0_2,sk0_3)),sk0_0,k1_rmod_5(sk0_0,sk0_1,sk0_2))|spl0_120),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2915])).
% 1.63/0.58 fof(f2918,plain,(
% 1.63/0.58 spl0_121 <=> m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,k3_xboole_0(sk0_2,sk0_3)),sk0_0,k1_rmod_5(sk0_0,sk0_1,sk0_3))),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2920,plain,(
% 1.63/0.58 ~m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,k3_xboole_0(sk0_2,sk0_3)),sk0_0,k1_rmod_5(sk0_0,sk0_1,sk0_3))|spl0_121),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2918])).
% 1.63/0.58 fof(f2921,plain,(
% 1.63/0.58 v3_struct_0(sk0_1)|~v3_rlvect_1(sk0_1)|~v4_rlvect_1(sk0_1)|~v5_rlvect_1(sk0_1)|~v6_rlvect_1(sk0_1)|~v5_vectsp_2(sk0_1,sk0_0)|~l1_vectsp_2(sk0_1,sk0_0)|~m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,k3_xboole_0(sk0_2,sk0_3)),sk0_0,sk0_1)|~m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,sk0_2),sk0_0,sk0_1)|~m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,sk0_3),sk0_0,sk0_1)|~m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,k3_xboole_0(sk0_2,sk0_3)),sk0_0,k1_rmod_5(sk0_0,sk0_1,sk0_2))|~m1_rmod_2(k1_rmod_5(sk0_0,sk0_1,k3_xboole_0(sk0_2,sk0_3)),sk0_0,k1_rmod_5(sk0_0,sk0_1,sk0_3))|~spl0_74),
% 1.63/0.58 inference(resolution,[status(thm)],[f2569,f322])).
% 1.63/0.58 fof(f2922,plain,(
% 1.63/0.58 spl0_67|~spl0_111|~spl0_112|~spl0_113|~spl0_114|~spl0_115|~spl0_116|~spl0_117|~spl0_118|~spl0_119|~spl0_120|~spl0_121|~spl0_74),
% 1.63/0.58 inference(split_clause,[status(thm)],[f2921,f2262,f2888,f2891,f2894,f2897,f2900,f2903,f2906,f2909,f2912,f2915,f2918,f2568])).
% 1.63/0.58 fof(f2923,plain,(
% 1.63/0.58 $false|spl0_116),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2905,f102])).
% 1.63/0.58 fof(f2924,plain,(
% 1.63/0.58 spl0_116),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f2923])).
% 1.63/0.58 fof(f2925,plain,(
% 1.63/0.58 $false|spl0_115),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2902,f101])).
% 1.63/0.58 fof(f2926,plain,(
% 1.63/0.58 spl0_115),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f2925])).
% 1.63/0.58 fof(f2927,plain,(
% 1.63/0.58 $false|spl0_114),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2899,f100])).
% 1.63/0.58 fof(f2928,plain,(
% 1.63/0.58 spl0_114),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f2927])).
% 1.63/0.58 fof(f2929,plain,(
% 1.63/0.58 $false|spl0_113),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2896,f99])).
% 1.63/0.58 fof(f2930,plain,(
% 1.63/0.58 spl0_113),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f2929])).
% 1.63/0.58 fof(f2931,plain,(
% 1.63/0.58 $false|spl0_112),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2893,f98])).
% 1.63/0.58 fof(f2932,plain,(
% 1.63/0.58 spl0_112),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f2931])).
% 1.63/0.58 fof(f2933,plain,(
% 1.63/0.58 $false|spl0_111),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2890,f97])).
% 1.63/0.58 fof(f2934,plain,(
% 1.63/0.58 spl0_111),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f2933])).
% 1.63/0.58 fof(f2949,plain,(
% 1.63/0.58 spl0_124 <=> v10_vectsp_1(sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2950,plain,(
% 1.63/0.58 v10_vectsp_1(sk0_0)|~spl0_124),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2949])).
% 1.63/0.58 fof(f2952,plain,(
% 1.63/0.58 spl0_125 <=> v2_vectsp_2(sk0_0)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f2954,plain,(
% 1.63/0.58 ~v2_vectsp_2(sk0_0)|spl0_125),
% 1.63/0.58 inference(component_clause,[status(thm)],[f2952])).
% 1.63/0.58 fof(f2955,plain,(
% 1.63/0.58 v3_struct_0(sk0_0)|~v3_rlvect_1(sk0_0)|~v4_rlvect_1(sk0_0)|~v5_rlvect_1(sk0_0)|~v6_rlvect_1(sk0_0)|~v4_group_1(sk0_0)|~v7_group_1(sk0_0)|~v6_vectsp_1(sk0_0)|~v7_vectsp_1(sk0_0)|~v8_vectsp_1(sk0_0)|v10_vectsp_1(sk0_0)|~v2_vectsp_2(sk0_0)|~l3_vectsp_1(sk0_0)|v3_struct_0(sk0_1)|~v3_rlvect_1(sk0_1)|~v4_rlvect_1(sk0_1)|~v5_rlvect_1(sk0_1)|~v6_rlvect_1(sk0_1)|~v5_vectsp_2(sk0_1,sk0_0)|~l1_vectsp_2(sk0_1,sk0_0)|~m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(sk0_1)))|spl0_119),
% 1.63/0.58 inference(resolution,[status(thm)],[f2914,f131])).
% 1.63/0.58 fof(f2956,plain,(
% 1.63/0.58 spl0_14|~spl0_15|~spl0_16|~spl0_17|~spl0_18|~spl0_19|~spl0_26|~spl0_24|~spl0_20|~spl0_21|spl0_124|~spl0_125|~spl0_22|spl0_67|~spl0_111|~spl0_112|~spl0_113|~spl0_114|~spl0_115|~spl0_116|~spl0_4|spl0_119),
% 1.63/0.58 inference(split_clause,[status(thm)],[f2955,f997,f1000,f1003,f1006,f1009,f1012,f1102,f1029,f1015,f1018,f2949,f2952,f1021,f2262,f2888,f2891,f2894,f2897,f2900,f2903,f501,f2912])).
% 1.63/0.58 fof(f2957,plain,(
% 1.63/0.58 $false|spl0_125),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2954,f94])).
% 1.63/0.58 fof(f2958,plain,(
% 1.63/0.58 spl0_125),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f2957])).
% 1.63/0.58 fof(f2964,plain,(
% 1.63/0.58 $false|spl0_26),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1104,f89])).
% 1.63/0.58 fof(f2965,plain,(
% 1.63/0.58 spl0_26),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f2964])).
% 1.63/0.58 fof(f2966,plain,(
% 1.63/0.58 $false|~spl0_67),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2263,f96])).
% 1.63/0.58 fof(f2967,plain,(
% 1.63/0.58 ~spl0_67),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f2966])).
% 1.63/0.58 fof(f2968,plain,(
% 1.63/0.58 $false|~spl0_124),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2950,f93])).
% 1.63/0.58 fof(f2969,plain,(
% 1.63/0.58 ~spl0_124),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f2968])).
% 1.63/0.58 fof(f2970,plain,(
% 1.63/0.58 v3_struct_0(sk0_0)|~v3_rlvect_1(sk0_0)|~v4_rlvect_1(sk0_0)|~v5_rlvect_1(sk0_0)|~v6_rlvect_1(sk0_0)|~v4_group_1(sk0_0)|~v7_group_1(sk0_0)|~v6_vectsp_1(sk0_0)|~v7_vectsp_1(sk0_0)|~v8_vectsp_1(sk0_0)|v10_vectsp_1(sk0_0)|~v2_vectsp_2(sk0_0)|~l3_vectsp_1(sk0_0)|v3_struct_0(sk0_1)|~v3_rlvect_1(sk0_1)|~v4_rlvect_1(sk0_1)|~v5_rlvect_1(sk0_1)|~v6_rlvect_1(sk0_1)|~v5_vectsp_2(sk0_1,sk0_0)|~l1_vectsp_2(sk0_1,sk0_0)|~m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_1)))|spl0_118),
% 1.63/0.58 inference(resolution,[status(thm)],[f2911,f131])).
% 1.63/0.58 fof(f2971,plain,(
% 1.63/0.58 spl0_14|~spl0_15|~spl0_16|~spl0_17|~spl0_18|~spl0_19|~spl0_26|~spl0_24|~spl0_20|~spl0_21|spl0_124|~spl0_125|~spl0_22|spl0_67|~spl0_111|~spl0_112|~spl0_113|~spl0_114|~spl0_115|~spl0_116|~spl0_2|spl0_118),
% 1.63/0.58 inference(split_clause,[status(thm)],[f2970,f997,f1000,f1003,f1006,f1009,f1012,f1102,f1029,f1015,f1018,f2949,f2952,f1021,f2262,f2888,f2891,f2894,f2897,f2900,f2903,f493,f2909])).
% 1.63/0.58 fof(f3004,plain,(
% 1.63/0.58 v3_struct_0(sk0_0)|~v3_rlvect_1(sk0_0)|~v4_rlvect_1(sk0_0)|~v5_rlvect_1(sk0_0)|~v6_rlvect_1(sk0_0)|~v4_group_1(sk0_0)|~v7_group_1(sk0_0)|~v6_vectsp_1(sk0_0)|~v7_vectsp_1(sk0_0)|~v8_vectsp_1(sk0_0)|v10_vectsp_1(sk0_0)|~v2_vectsp_2(sk0_0)|~l3_vectsp_1(sk0_0)|v3_struct_0(sk0_1)|~v3_rlvect_1(sk0_1)|~v4_rlvect_1(sk0_1)|~v5_rlvect_1(sk0_1)|~v6_rlvect_1(sk0_1)|~v5_vectsp_2(sk0_1,sk0_0)|~l1_vectsp_2(sk0_1,sk0_0)|~m1_subset_1(k3_xboole_0(sk0_2,sk0_3),k1_zfmisc_1(u1_struct_0(sk0_1)))|spl0_117),
% 1.63/0.58 inference(resolution,[status(thm)],[f2908,f131])).
% 1.63/0.58 fof(f3005,plain,(
% 1.63/0.58 spl0_14|~spl0_15|~spl0_16|~spl0_17|~spl0_18|~spl0_19|~spl0_26|~spl0_24|~spl0_20|~spl0_21|spl0_124|~spl0_125|~spl0_22|spl0_67|~spl0_111|~spl0_112|~spl0_113|~spl0_114|~spl0_115|~spl0_116|~spl0_0|spl0_117),
% 1.63/0.58 inference(split_clause,[status(thm)],[f3004,f997,f1000,f1003,f1006,f1009,f1012,f1102,f1029,f1015,f1018,f2949,f2952,f1021,f2262,f2888,f2891,f2894,f2897,f2900,f2903,f485,f2906])).
% 1.63/0.58 fof(f3022,plain,(
% 1.63/0.58 spl0_126 <=> r1_tarski(k3_xboole_0(sk0_2,sk0_3),sk0_3)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f3024,plain,(
% 1.63/0.58 ~r1_tarski(k3_xboole_0(sk0_2,sk0_3),sk0_3)|spl0_126),
% 1.63/0.58 inference(component_clause,[status(thm)],[f3022])).
% 1.63/0.58 fof(f3025,plain,(
% 1.63/0.58 v3_struct_0(sk0_0)|~v3_rlvect_1(sk0_0)|~v4_rlvect_1(sk0_0)|~v5_rlvect_1(sk0_0)|~v6_rlvect_1(sk0_0)|~v4_group_1(sk0_0)|~v7_group_1(sk0_0)|~v6_vectsp_1(sk0_0)|~v7_vectsp_1(sk0_0)|~v8_vectsp_1(sk0_0)|v10_vectsp_1(sk0_0)|~v2_vectsp_2(sk0_0)|~l3_vectsp_1(sk0_0)|v3_struct_0(sk0_1)|~v3_rlvect_1(sk0_1)|~v4_rlvect_1(sk0_1)|~v5_rlvect_1(sk0_1)|~v6_rlvect_1(sk0_1)|~v5_vectsp_2(sk0_1,sk0_0)|~l1_vectsp_2(sk0_1,sk0_0)|~m1_subset_1(k3_xboole_0(sk0_2,sk0_3),k1_zfmisc_1(u1_struct_0(sk0_1)))|~m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(sk0_1)))|~r1_tarski(k3_xboole_0(sk0_2,sk0_3),sk0_3)|spl0_121),
% 1.63/0.58 inference(resolution,[status(thm)],[f2920,f286])).
% 1.63/0.58 fof(f3026,plain,(
% 1.63/0.58 spl0_14|~spl0_15|~spl0_16|~spl0_17|~spl0_18|~spl0_19|~spl0_26|~spl0_24|~spl0_20|~spl0_21|spl0_124|~spl0_125|~spl0_22|spl0_67|~spl0_111|~spl0_112|~spl0_113|~spl0_114|~spl0_115|~spl0_116|~spl0_0|~spl0_4|~spl0_126|spl0_121),
% 1.63/0.58 inference(split_clause,[status(thm)],[f3025,f997,f1000,f1003,f1006,f1009,f1012,f1102,f1029,f1015,f1018,f2949,f2952,f1021,f2262,f2888,f2891,f2894,f2897,f2900,f2903,f485,f501,f3022,f2918])).
% 1.63/0.58 fof(f3027,plain,(
% 1.63/0.58 $false|spl0_126),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f3024,f1075])).
% 1.63/0.58 fof(f3028,plain,(
% 1.63/0.58 spl0_126),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f3027])).
% 1.63/0.58 fof(f3029,plain,(
% 1.63/0.58 spl0_127 <=> r1_tarski(k3_xboole_0(sk0_2,sk0_3),sk0_2)),
% 1.63/0.58 introduced(split_symbol_definition)).
% 1.63/0.58 fof(f3031,plain,(
% 1.63/0.58 ~r1_tarski(k3_xboole_0(sk0_2,sk0_3),sk0_2)|spl0_127),
% 1.63/0.58 inference(component_clause,[status(thm)],[f3029])).
% 1.63/0.58 fof(f3032,plain,(
% 1.63/0.58 v3_struct_0(sk0_0)|~v3_rlvect_1(sk0_0)|~v4_rlvect_1(sk0_0)|~v5_rlvect_1(sk0_0)|~v6_rlvect_1(sk0_0)|~v4_group_1(sk0_0)|~v7_group_1(sk0_0)|~v6_vectsp_1(sk0_0)|~v7_vectsp_1(sk0_0)|~v8_vectsp_1(sk0_0)|v10_vectsp_1(sk0_0)|~v2_vectsp_2(sk0_0)|~l3_vectsp_1(sk0_0)|v3_struct_0(sk0_1)|~v3_rlvect_1(sk0_1)|~v4_rlvect_1(sk0_1)|~v5_rlvect_1(sk0_1)|~v6_rlvect_1(sk0_1)|~v5_vectsp_2(sk0_1,sk0_0)|~l1_vectsp_2(sk0_1,sk0_0)|~m1_subset_1(k3_xboole_0(sk0_2,sk0_3),k1_zfmisc_1(u1_struct_0(sk0_1)))|~m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_1)))|~r1_tarski(k3_xboole_0(sk0_2,sk0_3),sk0_2)|spl0_120),
% 1.63/0.58 inference(resolution,[status(thm)],[f2917,f286])).
% 1.63/0.58 fof(f3033,plain,(
% 1.63/0.58 spl0_14|~spl0_15|~spl0_16|~spl0_17|~spl0_18|~spl0_19|~spl0_26|~spl0_24|~spl0_20|~spl0_21|spl0_124|~spl0_125|~spl0_22|spl0_67|~spl0_111|~spl0_112|~spl0_113|~spl0_114|~spl0_115|~spl0_116|~spl0_0|~spl0_2|~spl0_127|spl0_120),
% 1.63/0.58 inference(split_clause,[status(thm)],[f3032,f997,f1000,f1003,f1006,f1009,f1012,f1102,f1029,f1015,f1018,f2949,f2952,f1021,f2262,f2888,f2891,f2894,f2897,f2900,f2903,f485,f493,f3029,f2915])).
% 1.63/0.58 fof(f3034,plain,(
% 1.63/0.58 $false|spl0_127),
% 1.63/0.58 inference(forward_subsumption_resolution,[status(thm)],[f3031,f287])).
% 1.63/0.58 fof(f3035,plain,(
% 1.63/0.58 spl0_127),
% 1.63/0.58 inference(contradiction_clause,[status(thm)],[f3034])).
% 1.63/0.58 fof(f3036,plain,(
% 1.63/0.58 $false),
% 1.63/0.58 inference(sat_refutation,[status(thm)],[f510,f512,f514,f1037,f1039,f1041,f1043,f1045,f1047,f1049,f1051,f1053,f1055,f2574,f2922,f2924,f2926,f2928,f2930,f2932,f2934,f2956,f2958,f2965,f2967,f2969,f2971,f3005,f3026,f3028,f3033,f3035])).
% 1.63/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 1.63/0.59 % Elapsed time: 0.242821 seconds
% 1.63/0.59 % CPU time: 1.790544 seconds
% 1.63/0.59 % Total memory used: 87.296 MB
% 1.63/0.59 % Net memory used: 86.500 MB
%------------------------------------------------------------------------------