# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S050N
# and selection function PSelectNewComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k5_vectsp13, axiom, ![X1, X2, X3, X4, X5]:((((((((((((((((((((((((((((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))&~(v2_struct_0(X2)))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))&~(v2_struct_0(X3)))&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&l1_vectsp_1(X3,X1))&v2_vectsp_7(X4,X1,X2))&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))&v1_funct_1(X5))&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>((((v1_funct_1(k5_vectsp13(X1,X2,X3,X4,X5))&v1_funct_2(k5_vectsp13(X1,X2,X3,X4,X5),u1_struct_0(X2),u1_struct_0(X3)))&v13_vectsp_1(k5_vectsp13(X1,X2,X3,X4,X5),X2,X3))&v1_mod_2(k5_vectsp13(X1,X2,X3,X4,X5),X1,X2,X3))&m1_subset_1(k5_vectsp13(X1,X2,X3,X4,X5),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3)))))), file('vectsp13/vectsp13__t22_vectsp13', dt_k5_vectsp13)).
fof(t22_vectsp13, conjecture, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((((~(v2_struct_0(X2))&~(v7_struct_0(X2)))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:(((((((((((~(v2_struct_0(X3))&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&v1_matrlin(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:((v2_vectsp_7(X4,X1,X2)&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>(v2_funct_1(k5_vectsp13(X1,X2,X3,X4,X5))<=>(v1_vectsp_7(k1_vectsp13(X1,X2,X3,X4,X5),X1,X3)&v2_funct_1(X5)))))))), file('vectsp13/vectsp13__t22_vectsp13', t22_vectsp13)).
fof(d4_vectsp13, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:((((((((((~(v2_struct_0(X3))&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:((v2_vectsp_7(X4,X1,X2)&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>![X6]:(((((v1_funct_1(X6)&v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X3)))&v13_vectsp_1(X6,X2,X3))&v1_mod_2(X6,X1,X2,X3))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3)))))=>(X6=k5_vectsp13(X1,X2,X3,X4,X5)<=>k2_partfun1(u1_struct_0(X2),u1_struct_0(X3),X6,X4)=X5))))))), file('vectsp13/vectsp13__t22_vectsp13', d4_vectsp13)).
fof(redefinition_k2_partfun1, axiom, ![X1, X2, X3, X4]:((v1_funct_1(X3)&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>k2_partfun1(X1,X2,X3,X4)=k5_relat_1(X3,X4)), file('vectsp13/vectsp13__t22_vectsp13', redefinition_k2_partfun1)).
fof(cc1_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>v1_relat_1(X3)), file('vectsp13/vectsp13__t22_vectsp13', cc1_relset_1)).
fof(l34_vectsp13, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((((~(v2_struct_0(X2))&~(v7_struct_0(X2)))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:(((((((((((~(v2_struct_0(X3))&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&v1_matrlin(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:((v2_vectsp_7(X4,X1,X2)&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>(v2_funct_1(k5_vectsp13(X1,X2,X3,X4,X5))=>v1_vectsp_7(k1_vectsp13(X1,X2,X3,X4,X5),X1,X3))))))), file('vectsp13/vectsp13__t22_vectsp13', l34_vectsp13)).
fof(t52_funct_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>(v2_funct_1(X2)=>v2_funct_1(k5_relat_1(X2,X1)))), file('vectsp13/vectsp13__t22_vectsp13', t52_funct_1)).
fof(l35_vectsp13, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((((~(v2_struct_0(X2))&~(v7_struct_0(X2)))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:(((((((((((~(v2_struct_0(X3))&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&v1_matrlin(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:((v2_vectsp_7(X4,X1,X2)&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>((v2_funct_1(X5)&v1_vectsp_7(k1_vectsp13(X1,X2,X3,X4,X5),X1,X3))=>v2_funct_1(k5_vectsp13(X1,X2,X3,X4,X5)))))))), file('vectsp13/vectsp13__t22_vectsp13', l35_vectsp13)).
fof(c_0_8, plain, ![X1]:(epred1_1(X1)<=>![X2]:(((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:((((((((((~v2_struct_0(X3)&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:((v2_vectsp_7(X4,X1,X2)&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>![X6]:(((((v1_funct_1(X6)&v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X3)))&v13_vectsp_1(X6,X2,X3))&v1_mod_2(X6,X1,X2,X3))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3)))))=>(X6=k5_vectsp13(X1,X2,X3,X4,X5)<=>k2_partfun1(u1_struct_0(X2),u1_struct_0(X3),X6,X4)=X5))))))), introduced(definition)).
fof(c_0_9, plain, ![X1]:(epred1_1(X1)=>![X2]:(((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:((((((((((~v2_struct_0(X3)&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:((v2_vectsp_7(X4,X1,X2)&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>![X6]:(((((v1_funct_1(X6)&v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X3)))&v13_vectsp_1(X6,X2,X3))&v1_mod_2(X6,X1,X2,X3))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3)))))=>(X6=k5_vectsp13(X1,X2,X3,X4,X5)<=>k2_partfun1(u1_struct_0(X2),u1_struct_0(X3),X6,X4)=X5))))))), inference(split_equiv,[status(thm)],[c_0_8])).
fof(c_0_10, plain, ![X1, X2, X3, X4, X5]:((((((((((((((((((((((((((((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))&~v2_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))&~v2_struct_0(X3))&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&l1_vectsp_1(X3,X1))&v2_vectsp_7(X4,X1,X2))&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))&v1_funct_1(X5))&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>((((v1_funct_1(k5_vectsp13(X1,X2,X3,X4,X5))&v1_funct_2(k5_vectsp13(X1,X2,X3,X4,X5),u1_struct_0(X2),u1_struct_0(X3)))&v13_vectsp_1(k5_vectsp13(X1,X2,X3,X4,X5),X2,X3))&v1_mod_2(k5_vectsp13(X1,X2,X3,X4,X5),X1,X2,X3))&m1_subset_1(k5_vectsp13(X1,X2,X3,X4,X5),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3)))))), inference(fof_simplification,[status(thm)],[dt_k5_vectsp13])).
fof(c_0_11, negated_conjecture, ~(![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((((~v2_struct_0(X2)&~v7_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:(((((((((((~v2_struct_0(X3)&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&v1_matrlin(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:((v2_vectsp_7(X4,X1,X2)&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>(v2_funct_1(k5_vectsp13(X1,X2,X3,X4,X5))<=>(v1_vectsp_7(k1_vectsp13(X1,X2,X3,X4,X5),X1,X3)&v2_funct_1(X5))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t22_vectsp13])])).
fof(c_0_12, plain, ![X64, X65, X66, X67, X68, X69]:((X69!=k5_vectsp13(X64,X65,X66,X67,X68)|k2_partfun1(u1_struct_0(X65),u1_struct_0(X66),X69,X67)=X68|(~v1_funct_1(X69)|~v1_funct_2(X69,u1_struct_0(X65),u1_struct_0(X66))|~v13_vectsp_1(X69,X65,X66)|~v1_mod_2(X69,X64,X65,X66)|~m1_subset_1(X69,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X65),u1_struct_0(X66)))))|(~v1_funct_1(X68)|~v1_funct_2(X68,X67,u1_struct_0(X66))|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(X67,u1_struct_0(X66)))))|(~v2_vectsp_7(X67,X64,X65)|~m1_subset_1(X67,k1_zfmisc_1(u1_struct_0(X65))))|(v2_struct_0(X66)|~v13_algstr_0(X66)|~v2_rlvect_1(X66)|~v3_rlvect_1(X66)|~v4_rlvect_1(X66)|~v8_vectsp_1(X66,X64)|~v9_vectsp_1(X66,X64)|~v10_vectsp_1(X66,X64)|~v11_vectsp_1(X66,X64)|~l1_vectsp_1(X66,X64))|(v2_struct_0(X65)|~v13_algstr_0(X65)|~v2_rlvect_1(X65)|~v3_rlvect_1(X65)|~v4_rlvect_1(X65)|~v8_vectsp_1(X65,X64)|~v9_vectsp_1(X65,X64)|~v10_vectsp_1(X65,X64)|~v11_vectsp_1(X65,X64)|~v1_matrlin(X65,X64)|~l1_vectsp_1(X65,X64))|~epred1_1(X64))&(k2_partfun1(u1_struct_0(X65),u1_struct_0(X66),X69,X67)!=X68|X69=k5_vectsp13(X64,X65,X66,X67,X68)|(~v1_funct_1(X69)|~v1_funct_2(X69,u1_struct_0(X65),u1_struct_0(X66))|~v13_vectsp_1(X69,X65,X66)|~v1_mod_2(X69,X64,X65,X66)|~m1_subset_1(X69,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X65),u1_struct_0(X66)))))|(~v1_funct_1(X68)|~v1_funct_2(X68,X67,u1_struct_0(X66))|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(X67,u1_struct_0(X66)))))|(~v2_vectsp_7(X67,X64,X65)|~m1_subset_1(X67,k1_zfmisc_1(u1_struct_0(X65))))|(v2_struct_0(X66)|~v13_algstr_0(X66)|~v2_rlvect_1(X66)|~v3_rlvect_1(X66)|~v4_rlvect_1(X66)|~v8_vectsp_1(X66,X64)|~v9_vectsp_1(X66,X64)|~v10_vectsp_1(X66,X64)|~v11_vectsp_1(X66,X64)|~l1_vectsp_1(X66,X64))|(v2_struct_0(X65)|~v13_algstr_0(X65)|~v2_rlvect_1(X65)|~v3_rlvect_1(X65)|~v4_rlvect_1(X65)|~v8_vectsp_1(X65,X64)|~v9_vectsp_1(X65,X64)|~v10_vectsp_1(X65,X64)|~v11_vectsp_1(X65,X64)|~v1_matrlin(X65,X64)|~l1_vectsp_1(X65,X64))|~epred1_1(X64))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])).
fof(c_0_13, plain, ![X51, X52, X53, X54, X55]:(((((v1_funct_1(k5_vectsp13(X51,X52,X53,X54,X55))|(v2_struct_0(X51)|v6_struct_0(X51)|~v13_algstr_0(X51)|~v33_algstr_0(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v4_vectsp_1(X51)|~v5_vectsp_1(X51)|~v3_group_1(X51)|~v5_group_1(X51)|~l6_algstr_0(X51)|v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v8_vectsp_1(X52,X51)|~v9_vectsp_1(X52,X51)|~v10_vectsp_1(X52,X51)|~v11_vectsp_1(X52,X51)|~v1_matrlin(X52,X51)|~l1_vectsp_1(X52,X51)|v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v8_vectsp_1(X53,X51)|~v9_vectsp_1(X53,X51)|~v10_vectsp_1(X53,X51)|~v11_vectsp_1(X53,X51)|~l1_vectsp_1(X53,X51)|~v2_vectsp_7(X54,X51,X52)|~m1_subset_1(X54,k1_zfmisc_1(u1_struct_0(X52)))|~v1_funct_1(X55)|~v1_funct_2(X55,X54,u1_struct_0(X53))|~m1_subset_1(X55,k1_zfmisc_1(k2_zfmisc_1(X54,u1_struct_0(X53))))))&(v1_funct_2(k5_vectsp13(X51,X52,X53,X54,X55),u1_struct_0(X52),u1_struct_0(X53))|(v2_struct_0(X51)|v6_struct_0(X51)|~v13_algstr_0(X51)|~v33_algstr_0(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v4_vectsp_1(X51)|~v5_vectsp_1(X51)|~v3_group_1(X51)|~v5_group_1(X51)|~l6_algstr_0(X51)|v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v8_vectsp_1(X52,X51)|~v9_vectsp_1(X52,X51)|~v10_vectsp_1(X52,X51)|~v11_vectsp_1(X52,X51)|~v1_matrlin(X52,X51)|~l1_vectsp_1(X52,X51)|v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v8_vectsp_1(X53,X51)|~v9_vectsp_1(X53,X51)|~v10_vectsp_1(X53,X51)|~v11_vectsp_1(X53,X51)|~l1_vectsp_1(X53,X51)|~v2_vectsp_7(X54,X51,X52)|~m1_subset_1(X54,k1_zfmisc_1(u1_struct_0(X52)))|~v1_funct_1(X55)|~v1_funct_2(X55,X54,u1_struct_0(X53))|~m1_subset_1(X55,k1_zfmisc_1(k2_zfmisc_1(X54,u1_struct_0(X53)))))))&(v13_vectsp_1(k5_vectsp13(X51,X52,X53,X54,X55),X52,X53)|(v2_struct_0(X51)|v6_struct_0(X51)|~v13_algstr_0(X51)|~v33_algstr_0(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v4_vectsp_1(X51)|~v5_vectsp_1(X51)|~v3_group_1(X51)|~v5_group_1(X51)|~l6_algstr_0(X51)|v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v8_vectsp_1(X52,X51)|~v9_vectsp_1(X52,X51)|~v10_vectsp_1(X52,X51)|~v11_vectsp_1(X52,X51)|~v1_matrlin(X52,X51)|~l1_vectsp_1(X52,X51)|v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v8_vectsp_1(X53,X51)|~v9_vectsp_1(X53,X51)|~v10_vectsp_1(X53,X51)|~v11_vectsp_1(X53,X51)|~l1_vectsp_1(X53,X51)|~v2_vectsp_7(X54,X51,X52)|~m1_subset_1(X54,k1_zfmisc_1(u1_struct_0(X52)))|~v1_funct_1(X55)|~v1_funct_2(X55,X54,u1_struct_0(X53))|~m1_subset_1(X55,k1_zfmisc_1(k2_zfmisc_1(X54,u1_struct_0(X53)))))))&(v1_mod_2(k5_vectsp13(X51,X52,X53,X54,X55),X51,X52,X53)|(v2_struct_0(X51)|v6_struct_0(X51)|~v13_algstr_0(X51)|~v33_algstr_0(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v4_vectsp_1(X51)|~v5_vectsp_1(X51)|~v3_group_1(X51)|~v5_group_1(X51)|~l6_algstr_0(X51)|v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v8_vectsp_1(X52,X51)|~v9_vectsp_1(X52,X51)|~v10_vectsp_1(X52,X51)|~v11_vectsp_1(X52,X51)|~v1_matrlin(X52,X51)|~l1_vectsp_1(X52,X51)|v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v8_vectsp_1(X53,X51)|~v9_vectsp_1(X53,X51)|~v10_vectsp_1(X53,X51)|~v11_vectsp_1(X53,X51)|~l1_vectsp_1(X53,X51)|~v2_vectsp_7(X54,X51,X52)|~m1_subset_1(X54,k1_zfmisc_1(u1_struct_0(X52)))|~v1_funct_1(X55)|~v1_funct_2(X55,X54,u1_struct_0(X53))|~m1_subset_1(X55,k1_zfmisc_1(k2_zfmisc_1(X54,u1_struct_0(X53)))))))&(m1_subset_1(k5_vectsp13(X51,X52,X53,X54,X55),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X52),u1_struct_0(X53))))|(v2_struct_0(X51)|v6_struct_0(X51)|~v13_algstr_0(X51)|~v33_algstr_0(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v4_vectsp_1(X51)|~v5_vectsp_1(X51)|~v3_group_1(X51)|~v5_group_1(X51)|~l6_algstr_0(X51)|v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v8_vectsp_1(X52,X51)|~v9_vectsp_1(X52,X51)|~v10_vectsp_1(X52,X51)|~v11_vectsp_1(X52,X51)|~v1_matrlin(X52,X51)|~l1_vectsp_1(X52,X51)|v2_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v8_vectsp_1(X53,X51)|~v9_vectsp_1(X53,X51)|~v10_vectsp_1(X53,X51)|~v11_vectsp_1(X53,X51)|~l1_vectsp_1(X53,X51)|~v2_vectsp_7(X54,X51,X52)|~m1_subset_1(X54,k1_zfmisc_1(u1_struct_0(X52)))|~v1_funct_1(X55)|~v1_funct_2(X55,X54,u1_struct_0(X53))|~m1_subset_1(X55,k1_zfmisc_1(k2_zfmisc_1(X54,u1_struct_0(X53))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])).
fof(c_0_14, negated_conjecture, ((((((((((((~v2_struct_0(esk1_0)&~v6_struct_0(esk1_0))&v13_algstr_0(esk1_0))&v33_algstr_0(esk1_0))&v2_rlvect_1(esk1_0))&v3_rlvect_1(esk1_0))&v4_rlvect_1(esk1_0))&v4_vectsp_1(esk1_0))&v5_vectsp_1(esk1_0))&v3_group_1(esk1_0))&v5_group_1(esk1_0))&l6_algstr_0(esk1_0))&((((((((((((~v2_struct_0(esk2_0)&~v7_struct_0(esk2_0))&v13_algstr_0(esk2_0))&v2_rlvect_1(esk2_0))&v3_rlvect_1(esk2_0))&v4_rlvect_1(esk2_0))&v8_vectsp_1(esk2_0,esk1_0))&v9_vectsp_1(esk2_0,esk1_0))&v10_vectsp_1(esk2_0,esk1_0))&v11_vectsp_1(esk2_0,esk1_0))&v1_matrlin(esk2_0,esk1_0))&l1_vectsp_1(esk2_0,esk1_0))&(((((((((((~v2_struct_0(esk3_0)&v13_algstr_0(esk3_0))&v2_rlvect_1(esk3_0))&v3_rlvect_1(esk3_0))&v4_rlvect_1(esk3_0))&v8_vectsp_1(esk3_0,esk1_0))&v9_vectsp_1(esk3_0,esk1_0))&v10_vectsp_1(esk3_0,esk1_0))&v11_vectsp_1(esk3_0,esk1_0))&v1_matrlin(esk3_0,esk1_0))&l1_vectsp_1(esk3_0,esk1_0))&((v2_vectsp_7(esk4_0,esk1_0,esk2_0)&m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))))&(((v1_funct_1(esk5_0)&v1_funct_2(esk5_0,esk4_0,u1_struct_0(esk3_0)))&m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk4_0,u1_struct_0(esk3_0)))))&((~v2_funct_1(k5_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))|(~v1_vectsp_7(k1_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0),esk1_0,esk3_0)|~v2_funct_1(esk5_0)))&((v1_vectsp_7(k1_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0),esk1_0,esk3_0)|v2_funct_1(k5_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)))&(v2_funct_1(esk5_0)|v2_funct_1(k5_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)))))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])).
cnf(c_0_15, plain, (k2_partfun1(u1_struct_0(X3),u1_struct_0(X4),X1,X5)=X6|v2_struct_0(X4)|v2_struct_0(X3)|X1!=k5_vectsp13(X2,X3,X4,X5,X6)|~v1_funct_1(X1)|~v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X4))|~v13_vectsp_1(X1,X3,X4)|~v1_mod_2(X1,X2,X3,X4)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X4))))|~v1_funct_1(X6)|~v1_funct_2(X6,X5,u1_struct_0(X4))|~m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X5,u1_struct_0(X4))))|~v2_vectsp_7(X5,X2,X3)|~m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))|~v13_algstr_0(X4)|~v2_rlvect_1(X4)|~v3_rlvect_1(X4)|~v4_rlvect_1(X4)|~v8_vectsp_1(X4,X2)|~v9_vectsp_1(X4,X2)|~v10_vectsp_1(X4,X2)|~v11_vectsp_1(X4,X2)|~l1_vectsp_1(X4,X2)|~v13_algstr_0(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v8_vectsp_1(X3,X2)|~v9_vectsp_1(X3,X2)|~v10_vectsp_1(X3,X2)|~v11_vectsp_1(X3,X2)|~v1_matrlin(X3,X2)|~l1_vectsp_1(X3,X2)|~epred1_1(X2)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_16, plain, (m1_subset_1(k5_vectsp13(X1,X2,X3,X4,X5),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3))))|v2_struct_0(X1)|v6_struct_0(X1)|v2_struct_0(X2)|v2_struct_0(X3)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v8_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~v1_matrlin(X2,X1)|~l1_vectsp_1(X2,X1)|~v13_algstr_0(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v8_vectsp_1(X3,X1)|~v9_vectsp_1(X3,X1)|~v10_vectsp_1(X3,X1)|~v11_vectsp_1(X3,X1)|~l1_vectsp_1(X3,X1)|~v2_vectsp_7(X4,X1,X2)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))|~v1_funct_1(X5)|~v1_funct_2(X5,X4,u1_struct_0(X3))|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3))))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_17, negated_conjecture, (v1_funct_2(esk5_0,esk4_0,u1_struct_0(esk3_0))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_18, negated_conjecture, (v1_funct_1(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_19, negated_conjecture, (m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk4_0,u1_struct_0(esk3_0))))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_20, negated_conjecture, (v4_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_21, negated_conjecture, (v3_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_22, negated_conjecture, (v2_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_23, negated_conjecture, (v13_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_24, negated_conjecture, (~v2_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_25, plain, (v1_funct_1(k5_vectsp13(X1,X2,X3,X4,X5))|v2_struct_0(X1)|v6_struct_0(X1)|v2_struct_0(X2)|v2_struct_0(X3)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v8_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~v1_matrlin(X2,X1)|~l1_vectsp_1(X2,X1)|~v13_algstr_0(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v8_vectsp_1(X3,X1)|~v9_vectsp_1(X3,X1)|~v10_vectsp_1(X3,X1)|~v11_vectsp_1(X3,X1)|~l1_vectsp_1(X3,X1)|~v2_vectsp_7(X4,X1,X2)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))|~v1_funct_1(X5)|~v1_funct_2(X5,X4,u1_struct_0(X3))|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3))))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_26, plain, (v1_funct_2(k5_vectsp13(X1,X2,X3,X4,X5),u1_struct_0(X2),u1_struct_0(X3))|v2_struct_0(X1)|v6_struct_0(X1)|v2_struct_0(X2)|v2_struct_0(X3)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v8_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~v1_matrlin(X2,X1)|~l1_vectsp_1(X2,X1)|~v13_algstr_0(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v8_vectsp_1(X3,X1)|~v9_vectsp_1(X3,X1)|~v10_vectsp_1(X3,X1)|~v11_vectsp_1(X3,X1)|~l1_vectsp_1(X3,X1)|~v2_vectsp_7(X4,X1,X2)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))|~v1_funct_1(X5)|~v1_funct_2(X5,X4,u1_struct_0(X3))|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3))))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_27, plain, (v13_vectsp_1(k5_vectsp13(X1,X2,X3,X4,X5),X2,X3)|v2_struct_0(X1)|v6_struct_0(X1)|v2_struct_0(X2)|v2_struct_0(X3)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v8_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~v1_matrlin(X2,X1)|~l1_vectsp_1(X2,X1)|~v13_algstr_0(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v8_vectsp_1(X3,X1)|~v9_vectsp_1(X3,X1)|~v10_vectsp_1(X3,X1)|~v11_vectsp_1(X3,X1)|~l1_vectsp_1(X3,X1)|~v2_vectsp_7(X4,X1,X2)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))|~v1_funct_1(X5)|~v1_funct_2(X5,X4,u1_struct_0(X3))|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3))))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_28, plain, (v1_mod_2(k5_vectsp13(X1,X2,X3,X4,X5),X1,X2,X3)|v2_struct_0(X1)|v6_struct_0(X1)|v2_struct_0(X2)|v2_struct_0(X3)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v8_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~v1_matrlin(X2,X1)|~l1_vectsp_1(X2,X1)|~v13_algstr_0(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v8_vectsp_1(X3,X1)|~v9_vectsp_1(X3,X1)|~v10_vectsp_1(X3,X1)|~v11_vectsp_1(X3,X1)|~l1_vectsp_1(X3,X1)|~v2_vectsp_7(X4,X1,X2)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))|~v1_funct_1(X5)|~v1_funct_2(X5,X4,u1_struct_0(X3))|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3))))), inference(split_conjunct,[status(thm)],[c_0_13])).
fof(c_0_29, plain, ![X1]:(epred2_1(X1)<=>![X2]:((((((((((((~v2_struct_0(X2)&~v7_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:(((((((((((~v2_struct_0(X3)&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&v1_matrlin(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:((v2_vectsp_7(X4,X1,X2)&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>(v2_funct_1(k5_vectsp13(X1,X2,X3,X4,X5))=>v1_vectsp_7(k1_vectsp13(X1,X2,X3,X4,X5),X1,X3))))))), introduced(definition)).
cnf(c_0_30, plain, (k2_partfun1(u1_struct_0(X1),u1_struct_0(X2),k5_vectsp13(X3,X1,X2,X4,X5),X4)=X5|v2_struct_0(X2)|v2_struct_0(X1)|~epred1_1(X3)|~v1_mod_2(k5_vectsp13(X3,X1,X2,X4,X5),X3,X1,X2)|~v13_vectsp_1(k5_vectsp13(X3,X1,X2,X4,X5),X1,X2)|~v1_funct_2(k5_vectsp13(X3,X1,X2,X4,X5),u1_struct_0(X1),u1_struct_0(X2))|~v1_funct_2(X5,X4,u1_struct_0(X2))|~v1_funct_1(k5_vectsp13(X3,X1,X2,X4,X5))|~v1_funct_1(X5)|~m1_subset_1(k5_vectsp13(X3,X1,X2,X4,X5),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2))))|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X2))))|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))|~v2_vectsp_7(X4,X3,X1)|~l1_vectsp_1(X2,X3)|~l1_vectsp_1(X1,X3)|~v1_matrlin(X1,X3)|~v11_vectsp_1(X2,X3)|~v11_vectsp_1(X1,X3)|~v10_vectsp_1(X2,X3)|~v10_vectsp_1(X1,X3)|~v9_vectsp_1(X2,X3)|~v9_vectsp_1(X1,X3)|~v8_vectsp_1(X2,X3)|~v8_vectsp_1(X1,X3)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v13_algstr_0(X2)|~v13_algstr_0(X1)), inference(er,[status(thm)],[c_0_15])).
cnf(c_0_31, negated_conjecture, (m1_subset_1(k5_vectsp13(X1,X2,esk3_0,esk4_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(esk3_0))))|v6_struct_0(X1)|v2_struct_0(X1)|v2_struct_0(X2)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X2)))|~v2_vectsp_7(esk4_0,X1,X2)|~l1_vectsp_1(esk3_0,X1)|~l1_vectsp_1(X2,X1)|~v1_matrlin(X2,X1)|~v11_vectsp_1(esk3_0,X1)|~v11_vectsp_1(X2,X1)|~v10_vectsp_1(esk3_0,X1)|~v10_vectsp_1(X2,X1)|~v9_vectsp_1(esk3_0,X1)|~v9_vectsp_1(X2,X1)|~v8_vectsp_1(esk3_0,X1)|~v8_vectsp_1(X2,X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X2)|~v13_algstr_0(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])]), c_0_24])).
cnf(c_0_32, negated_conjecture, (l1_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_33, negated_conjecture, (v11_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_34, negated_conjecture, (v10_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_35, negated_conjecture, (v9_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_36, negated_conjecture, (v8_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_37, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_38, negated_conjecture, (v5_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_39, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_40, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_41, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_42, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_43, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_44, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_45, negated_conjecture, (v33_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_46, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_47, negated_conjecture, (~v6_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_48, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_49, negated_conjecture, (v1_funct_1(k5_vectsp13(X1,X2,esk3_0,esk4_0,esk5_0))|v6_struct_0(X1)|v2_struct_0(X1)|v2_struct_0(X2)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X2)))|~v2_vectsp_7(esk4_0,X1,X2)|~l1_vectsp_1(esk3_0,X1)|~l1_vectsp_1(X2,X1)|~v1_matrlin(X2,X1)|~v11_vectsp_1(esk3_0,X1)|~v11_vectsp_1(X2,X1)|~v10_vectsp_1(esk3_0,X1)|~v10_vectsp_1(X2,X1)|~v9_vectsp_1(esk3_0,X1)|~v9_vectsp_1(X2,X1)|~v8_vectsp_1(esk3_0,X1)|~v8_vectsp_1(X2,X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X2)|~v13_algstr_0(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])]), c_0_24])).
cnf(c_0_50, negated_conjecture, (v1_funct_2(k5_vectsp13(X1,X2,esk3_0,esk4_0,esk5_0),u1_struct_0(X2),u1_struct_0(esk3_0))|v6_struct_0(X1)|v2_struct_0(X1)|v2_struct_0(X2)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X2)))|~v2_vectsp_7(esk4_0,X1,X2)|~l1_vectsp_1(esk3_0,X1)|~l1_vectsp_1(X2,X1)|~v1_matrlin(X2,X1)|~v11_vectsp_1(esk3_0,X1)|~v11_vectsp_1(X2,X1)|~v10_vectsp_1(esk3_0,X1)|~v10_vectsp_1(X2,X1)|~v9_vectsp_1(esk3_0,X1)|~v9_vectsp_1(X2,X1)|~v8_vectsp_1(esk3_0,X1)|~v8_vectsp_1(X2,X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X2)|~v13_algstr_0(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])]), c_0_24])).
cnf(c_0_51, negated_conjecture, (v13_vectsp_1(k5_vectsp13(X1,X2,esk3_0,esk4_0,esk5_0),X2,esk3_0)|v6_struct_0(X1)|v2_struct_0(X1)|v2_struct_0(X2)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X2)))|~v2_vectsp_7(esk4_0,X1,X2)|~l1_vectsp_1(esk3_0,X1)|~l1_vectsp_1(X2,X1)|~v1_matrlin(X2,X1)|~v11_vectsp_1(esk3_0,X1)|~v11_vectsp_1(X2,X1)|~v10_vectsp_1(esk3_0,X1)|~v10_vectsp_1(X2,X1)|~v9_vectsp_1(esk3_0,X1)|~v9_vectsp_1(X2,X1)|~v8_vectsp_1(esk3_0,X1)|~v8_vectsp_1(X2,X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X2)|~v13_algstr_0(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])]), c_0_24])).
cnf(c_0_52, negated_conjecture, (v1_mod_2(k5_vectsp13(X1,X2,esk3_0,esk4_0,esk5_0),X1,X2,esk3_0)|v6_struct_0(X1)|v2_struct_0(X1)|v2_struct_0(X2)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X2)))|~v2_vectsp_7(esk4_0,X1,X2)|~l1_vectsp_1(esk3_0,X1)|~l1_vectsp_1(X2,X1)|~v1_matrlin(X2,X1)|~v11_vectsp_1(esk3_0,X1)|~v11_vectsp_1(X2,X1)|~v10_vectsp_1(esk3_0,X1)|~v10_vectsp_1(X2,X1)|~v9_vectsp_1(esk3_0,X1)|~v9_vectsp_1(X2,X1)|~v8_vectsp_1(esk3_0,X1)|~v8_vectsp_1(X2,X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X2)|~v13_algstr_0(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])]), c_0_24])).
fof(c_0_53, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>epred1_1(X1)), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[d4_vectsp13]), c_0_8])).
fof(c_0_54, plain, ![X1]:(epred2_1(X1)=>![X2]:((((((((((((~v2_struct_0(X2)&~v7_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:(((((((((((~v2_struct_0(X3)&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&v1_matrlin(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:((v2_vectsp_7(X4,X1,X2)&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>(v2_funct_1(k5_vectsp13(X1,X2,X3,X4,X5))=>v1_vectsp_7(k1_vectsp13(X1,X2,X3,X4,X5),X1,X3))))))), inference(split_equiv,[status(thm)],[c_0_29])).
fof(c_0_55, plain, ![X1]:(epred3_1(X1)<=>![X2]:((((((((((((~v2_struct_0(X2)&~v7_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:(((((((((((~v2_struct_0(X3)&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&v1_matrlin(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:((v2_vectsp_7(X4,X1,X2)&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>((v2_funct_1(X5)&v1_vectsp_7(k1_vectsp13(X1,X2,X3,X4,X5),X1,X3))=>v2_funct_1(k5_vectsp13(X1,X2,X3,X4,X5)))))))), introduced(definition)).
cnf(c_0_56, negated_conjecture, (k2_partfun1(u1_struct_0(X1),u1_struct_0(esk3_0),k5_vectsp13(X2,X1,esk3_0,esk4_0,esk5_0),esk4_0)=esk5_0|v2_struct_0(X1)|~epred1_1(X2)|~v1_mod_2(k5_vectsp13(X2,X1,esk3_0,esk4_0,esk5_0),X2,X1,esk3_0)|~v13_vectsp_1(k5_vectsp13(X2,X1,esk3_0,esk4_0,esk5_0),X1,esk3_0)|~v1_funct_2(k5_vectsp13(X2,X1,esk3_0,esk4_0,esk5_0),u1_struct_0(X1),u1_struct_0(esk3_0))|~v1_funct_1(k5_vectsp13(X2,X1,esk3_0,esk4_0,esk5_0))|~m1_subset_1(k5_vectsp13(X2,X1,esk3_0,esk4_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(esk3_0))))|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X1)))|~v2_vectsp_7(esk4_0,X2,X1)|~l1_vectsp_1(esk3_0,X2)|~l1_vectsp_1(X1,X2)|~v1_matrlin(X1,X2)|~v11_vectsp_1(esk3_0,X2)|~v11_vectsp_1(X1,X2)|~v10_vectsp_1(esk3_0,X2)|~v10_vectsp_1(X1,X2)|~v9_vectsp_1(esk3_0,X2)|~v9_vectsp_1(X1,X2)|~v8_vectsp_1(esk3_0,X2)|~v8_vectsp_1(X1,X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])]), c_0_24])).
cnf(c_0_57, negated_conjecture, (m1_subset_1(k5_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(esk3_0))))|v2_struct_0(X1)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X1)))|~v2_vectsp_7(esk4_0,esk1_0,X1)|~l1_vectsp_1(X1,esk1_0)|~v1_matrlin(X1,esk1_0)|~v11_vectsp_1(X1,esk1_0)|~v10_vectsp_1(X1,esk1_0)|~v9_vectsp_1(X1,esk1_0)|~v8_vectsp_1(X1,esk1_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46])]), c_0_47]), c_0_48])).
cnf(c_0_58, negated_conjecture, (v1_funct_1(k5_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0))|v2_struct_0(X1)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X1)))|~v2_vectsp_7(esk4_0,esk1_0,X1)|~l1_vectsp_1(X1,esk1_0)|~v1_matrlin(X1,esk1_0)|~v11_vectsp_1(X1,esk1_0)|~v10_vectsp_1(X1,esk1_0)|~v9_vectsp_1(X1,esk1_0)|~v8_vectsp_1(X1,esk1_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46])]), c_0_47]), c_0_48])).
cnf(c_0_59, negated_conjecture, (v1_funct_2(k5_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0),u1_struct_0(X1),u1_struct_0(esk3_0))|v2_struct_0(X1)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X1)))|~v2_vectsp_7(esk4_0,esk1_0,X1)|~l1_vectsp_1(X1,esk1_0)|~v1_matrlin(X1,esk1_0)|~v11_vectsp_1(X1,esk1_0)|~v10_vectsp_1(X1,esk1_0)|~v9_vectsp_1(X1,esk1_0)|~v8_vectsp_1(X1,esk1_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46])]), c_0_47]), c_0_48])).
cnf(c_0_60, negated_conjecture, (v13_vectsp_1(k5_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0),X1,esk3_0)|v2_struct_0(X1)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X1)))|~v2_vectsp_7(esk4_0,esk1_0,X1)|~l1_vectsp_1(X1,esk1_0)|~v1_matrlin(X1,esk1_0)|~v11_vectsp_1(X1,esk1_0)|~v10_vectsp_1(X1,esk1_0)|~v9_vectsp_1(X1,esk1_0)|~v8_vectsp_1(X1,esk1_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46])]), c_0_47]), c_0_48])).
cnf(c_0_61, negated_conjecture, (v1_mod_2(k5_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0),esk1_0,X1,esk3_0)|v2_struct_0(X1)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X1)))|~v2_vectsp_7(esk4_0,esk1_0,X1)|~l1_vectsp_1(X1,esk1_0)|~v1_matrlin(X1,esk1_0)|~v11_vectsp_1(X1,esk1_0)|~v10_vectsp_1(X1,esk1_0)|~v9_vectsp_1(X1,esk1_0)|~v8_vectsp_1(X1,esk1_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46])]), c_0_47]), c_0_48])).
fof(c_0_62, plain, ![X50]:(v2_struct_0(X50)|v6_struct_0(X50)|~v13_algstr_0(X50)|~v33_algstr_0(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v4_vectsp_1(X50)|~v5_vectsp_1(X50)|~v3_group_1(X50)|~v5_group_1(X50)|~l6_algstr_0(X50)|epred1_1(X50)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])).
fof(c_0_63, plain, ![X58, X59, X60, X61]:(~v1_funct_1(X60)|~m1_subset_1(X60,k1_zfmisc_1(k2_zfmisc_1(X58,X59)))|k2_partfun1(X58,X59,X60,X61)=k5_relat_1(X60,X61)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_partfun1])])).
cnf(c_0_64, negated_conjecture, (l1_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_65, negated_conjecture, (m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_66, negated_conjecture, (v2_vectsp_7(esk4_0,esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_67, negated_conjecture, (v1_matrlin(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_68, negated_conjecture, (v11_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_69, negated_conjecture, (v10_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_70, negated_conjecture, (v9_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_71, negated_conjecture, (v8_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_72, negated_conjecture, (v4_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_73, negated_conjecture, (v3_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_74, negated_conjecture, (v2_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_75, negated_conjecture, (v13_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_76, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_77, plain, ![X70, X71, X72, X73, X74]:(~epred2_1(X70)|(v2_struct_0(X71)|v7_struct_0(X71)|~v13_algstr_0(X71)|~v2_rlvect_1(X71)|~v3_rlvect_1(X71)|~v4_rlvect_1(X71)|~v8_vectsp_1(X71,X70)|~v9_vectsp_1(X71,X70)|~v10_vectsp_1(X71,X70)|~v11_vectsp_1(X71,X70)|~v1_matrlin(X71,X70)|~l1_vectsp_1(X71,X70)|(v2_struct_0(X72)|~v13_algstr_0(X72)|~v2_rlvect_1(X72)|~v3_rlvect_1(X72)|~v4_rlvect_1(X72)|~v8_vectsp_1(X72,X70)|~v9_vectsp_1(X72,X70)|~v10_vectsp_1(X72,X70)|~v11_vectsp_1(X72,X70)|~v1_matrlin(X72,X70)|~l1_vectsp_1(X72,X70)|(~v2_vectsp_7(X73,X70,X71)|~m1_subset_1(X73,k1_zfmisc_1(u1_struct_0(X71)))|(~v1_funct_1(X74)|~v1_funct_2(X74,X73,u1_struct_0(X72))|~m1_subset_1(X74,k1_zfmisc_1(k2_zfmisc_1(X73,u1_struct_0(X72))))|(~v2_funct_1(k5_vectsp13(X70,X71,X72,X73,X74))|v1_vectsp_7(k1_vectsp13(X70,X71,X72,X73,X74),X70,X72))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])).
fof(c_0_78, plain, ![X1]:(epred3_1(X1)=>![X2]:((((((((((((~v2_struct_0(X2)&~v7_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&v1_matrlin(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:(((((((((((~v2_struct_0(X3)&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&v1_matrlin(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:((v2_vectsp_7(X4,X1,X2)&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>((v2_funct_1(X5)&v1_vectsp_7(k1_vectsp13(X1,X2,X3,X4,X5),X1,X3))=>v2_funct_1(k5_vectsp13(X1,X2,X3,X4,X5)))))))), inference(split_equiv,[status(thm)],[c_0_55])).
cnf(c_0_79, negated_conjecture, (k2_partfun1(u1_struct_0(X1),u1_struct_0(esk3_0),k5_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0),esk4_0)=esk5_0|v2_struct_0(X1)|~epred1_1(esk1_0)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X1)))|~v2_vectsp_7(esk4_0,esk1_0,X1)|~l1_vectsp_1(X1,esk1_0)|~v1_matrlin(X1,esk1_0)|~v11_vectsp_1(X1,esk1_0)|~v10_vectsp_1(X1,esk1_0)|~v9_vectsp_1(X1,esk1_0)|~v8_vectsp_1(X1,esk1_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])]), c_0_57]), c_0_58]), c_0_59]), c_0_60]), c_0_61])).
cnf(c_0_80, plain, (v2_struct_0(X1)|v6_struct_0(X1)|epred1_1(X1)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_81, plain, (k2_partfun1(X2,X3,X1,X4)=k5_relat_1(X1,X4)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_82, negated_conjecture, (m1_subset_1(k5_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk3_0))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75])]), c_0_76])).
cnf(c_0_83, negated_conjecture, (v1_funct_1(k5_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75])]), c_0_76])).
fof(c_0_84, plain, ![X47, X48, X49]:(~m1_subset_1(X49,k1_zfmisc_1(k2_zfmisc_1(X47,X48)))|v1_relat_1(X49)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
cnf(c_0_85, plain, (v2_struct_0(X2)|v7_struct_0(X2)|v2_struct_0(X3)|v1_vectsp_7(k1_vectsp13(X1,X2,X3,X4,X5),X1,X3)|~epred2_1(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v8_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~v1_matrlin(X2,X1)|~l1_vectsp_1(X2,X1)|~v13_algstr_0(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v8_vectsp_1(X3,X1)|~v9_vectsp_1(X3,X1)|~v10_vectsp_1(X3,X1)|~v11_vectsp_1(X3,X1)|~v1_matrlin(X3,X1)|~l1_vectsp_1(X3,X1)|~v2_vectsp_7(X4,X1,X2)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))|~v1_funct_1(X5)|~v1_funct_2(X5,X4,u1_struct_0(X3))|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3))))|~v2_funct_1(k5_vectsp13(X1,X2,X3,X4,X5))), inference(split_conjunct,[status(thm)],[c_0_77])).
fof(c_0_86, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>epred2_1(X1)), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[l34_vectsp13]), c_0_29])).
fof(c_0_87, plain, ![X75, X76, X77, X78, X79]:(~epred3_1(X75)|(v2_struct_0(X76)|v7_struct_0(X76)|~v13_algstr_0(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~v8_vectsp_1(X76,X75)|~v9_vectsp_1(X76,X75)|~v10_vectsp_1(X76,X75)|~v11_vectsp_1(X76,X75)|~v1_matrlin(X76,X75)|~l1_vectsp_1(X76,X75)|(v2_struct_0(X77)|~v13_algstr_0(X77)|~v2_rlvect_1(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~v8_vectsp_1(X77,X75)|~v9_vectsp_1(X77,X75)|~v10_vectsp_1(X77,X75)|~v11_vectsp_1(X77,X75)|~v1_matrlin(X77,X75)|~l1_vectsp_1(X77,X75)|(~v2_vectsp_7(X78,X75,X76)|~m1_subset_1(X78,k1_zfmisc_1(u1_struct_0(X76)))|(~v1_funct_1(X79)|~v1_funct_2(X79,X78,u1_struct_0(X77))|~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(X78,u1_struct_0(X77))))|(~v2_funct_1(X79)|~v1_vectsp_7(k1_vectsp13(X75,X76,X77,X78,X79),X75,X77)|v2_funct_1(k5_vectsp13(X75,X76,X77,X78,X79)))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])).
fof(c_0_88, plain, ![X62, X63]:(~v1_relat_1(X63)|~v1_funct_1(X63)|(~v2_funct_1(X63)|v2_funct_1(k5_relat_1(X63,X62)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t52_funct_1])])).
cnf(c_0_89, negated_conjecture, (k2_partfun1(u1_struct_0(X1),u1_struct_0(esk3_0),k5_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0),esk4_0)=esk5_0|v2_struct_0(X1)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X1)))|~v2_vectsp_7(esk4_0,esk1_0,X1)|~l1_vectsp_1(X1,esk1_0)|~v1_matrlin(X1,esk1_0)|~v11_vectsp_1(X1,esk1_0)|~v10_vectsp_1(X1,esk1_0)|~v9_vectsp_1(X1,esk1_0)|~v8_vectsp_1(X1,esk1_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46])]), c_0_47]), c_0_48])).
cnf(c_0_90, negated_conjecture, (k2_partfun1(u1_struct_0(esk2_0),u1_struct_0(esk3_0),k5_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0),X1)=k5_relat_1(k5_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_83])])).
cnf(c_0_91, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_84])).
cnf(c_0_92, negated_conjecture, (v1_vectsp_7(k1_vectsp13(X1,X2,esk3_0,esk4_0,esk5_0),X1,esk3_0)|v7_struct_0(X2)|v2_struct_0(X2)|~epred2_1(X1)|~v2_funct_1(k5_vectsp13(X1,X2,esk3_0,esk4_0,esk5_0))|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X2)))|~v2_vectsp_7(esk4_0,X1,X2)|~l1_vectsp_1(esk3_0,X1)|~l1_vectsp_1(X2,X1)|~v1_matrlin(esk3_0,X1)|~v1_matrlin(X2,X1)|~v11_vectsp_1(esk3_0,X1)|~v11_vectsp_1(X2,X1)|~v10_vectsp_1(esk3_0,X1)|~v10_vectsp_1(X2,X1)|~v9_vectsp_1(esk3_0,X1)|~v9_vectsp_1(X2,X1)|~v8_vectsp_1(esk3_0,X1)|~v8_vectsp_1(X2,X1)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])]), c_0_24])).
cnf(c_0_93, negated_conjecture, (v1_matrlin(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_94, plain, ![X56]:(v2_struct_0(X56)|v6_struct_0(X56)|~v13_algstr_0(X56)|~v33_algstr_0(X56)|~v2_rlvect_1(X56)|~v3_rlvect_1(X56)|~v4_rlvect_1(X56)|~v4_vectsp_1(X56)|~v5_vectsp_1(X56)|~v3_group_1(X56)|~v5_group_1(X56)|~l6_algstr_0(X56)|epred2_1(X56)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])).
cnf(c_0_95, plain, (v2_struct_0(X2)|v7_struct_0(X2)|v2_struct_0(X3)|v2_funct_1(k5_vectsp13(X1,X2,X3,X4,X5))|~epred3_1(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v8_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~v1_matrlin(X2,X1)|~l1_vectsp_1(X2,X1)|~v13_algstr_0(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v8_vectsp_1(X3,X1)|~v9_vectsp_1(X3,X1)|~v10_vectsp_1(X3,X1)|~v11_vectsp_1(X3,X1)|~v1_matrlin(X3,X1)|~l1_vectsp_1(X3,X1)|~v2_vectsp_7(X4,X1,X2)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))|~v1_funct_1(X5)|~v1_funct_2(X5,X4,u1_struct_0(X3))|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3))))|~v2_funct_1(X5)|~v1_vectsp_7(k1_vectsp13(X1,X2,X3,X4,X5),X1,X3)), inference(split_conjunct,[status(thm)],[c_0_87])).
cnf(c_0_96, plain, (v2_funct_1(k5_relat_1(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v2_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_97, negated_conjecture, (k5_relat_1(k5_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0),esk4_0)=esk5_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_64]), c_0_90]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75])]), c_0_76])).
cnf(c_0_98, negated_conjecture, (v1_relat_1(k5_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))), inference(spm,[status(thm)],[c_0_91, c_0_82])).
cnf(c_0_99, negated_conjecture, (v2_funct_1(esk5_0)|v2_funct_1(k5_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_100, negated_conjecture, (v1_vectsp_7(k1_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0),esk1_0,esk3_0)|v7_struct_0(X1)|v2_struct_0(X1)|~epred2_1(esk1_0)|~v2_funct_1(k5_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0))|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X1)))|~v2_vectsp_7(esk4_0,esk1_0,X1)|~l1_vectsp_1(X1,esk1_0)|~v1_matrlin(X1,esk1_0)|~v11_vectsp_1(X1,esk1_0)|~v10_vectsp_1(X1,esk1_0)|~v9_vectsp_1(X1,esk1_0)|~v8_vectsp_1(X1,esk1_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_32]), c_0_93]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_101, plain, (v2_struct_0(X1)|v6_struct_0(X1)|epred2_1(X1)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_102, negated_conjecture, (v2_funct_1(k5_vectsp13(X1,X2,esk3_0,esk4_0,esk5_0))|v7_struct_0(X2)|v2_struct_0(X2)|~epred3_1(X1)|~v1_vectsp_7(k1_vectsp13(X1,X2,esk3_0,esk4_0,esk5_0),X1,esk3_0)|~v2_funct_1(esk5_0)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X2)))|~v2_vectsp_7(esk4_0,X1,X2)|~l1_vectsp_1(esk3_0,X1)|~l1_vectsp_1(X2,X1)|~v1_matrlin(esk3_0,X1)|~v1_matrlin(X2,X1)|~v11_vectsp_1(esk3_0,X1)|~v11_vectsp_1(X2,X1)|~v10_vectsp_1(esk3_0,X1)|~v10_vectsp_1(X2,X1)|~v9_vectsp_1(esk3_0,X1)|~v9_vectsp_1(X2,X1)|~v8_vectsp_1(esk3_0,X1)|~v8_vectsp_1(X2,X1)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])]), c_0_24])).
cnf(c_0_103, negated_conjecture, (v2_funct_1(esk5_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_97]), c_0_98]), c_0_83])]), c_0_99])).
fof(c_0_104, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>epred3_1(X1)), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[l35_vectsp13]), c_0_55])).
cnf(c_0_105, negated_conjecture, (v1_vectsp_7(k1_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0),esk1_0,esk3_0)|v7_struct_0(X1)|v2_struct_0(X1)|~v2_funct_1(k5_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0))|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X1)))|~v2_vectsp_7(esk4_0,esk1_0,X1)|~l1_vectsp_1(X1,esk1_0)|~v1_matrlin(X1,esk1_0)|~v11_vectsp_1(X1,esk1_0)|~v10_vectsp_1(X1,esk1_0)|~v9_vectsp_1(X1,esk1_0)|~v8_vectsp_1(X1,esk1_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_101]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46])]), c_0_47]), c_0_48])).
cnf(c_0_106, negated_conjecture, (~v7_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_107, negated_conjecture, (v1_vectsp_7(k1_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0),esk1_0,esk3_0)|v2_funct_1(k5_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_108, negated_conjecture, (v2_funct_1(k5_vectsp13(X1,X2,esk3_0,esk4_0,esk5_0))|v7_struct_0(X2)|v2_struct_0(X2)|~epred3_1(X1)|~v1_vectsp_7(k1_vectsp13(X1,X2,esk3_0,esk4_0,esk5_0),X1,esk3_0)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X2)))|~v2_vectsp_7(esk4_0,X1,X2)|~l1_vectsp_1(esk3_0,X1)|~l1_vectsp_1(X2,X1)|~v1_matrlin(esk3_0,X1)|~v1_matrlin(X2,X1)|~v11_vectsp_1(esk3_0,X1)|~v11_vectsp_1(X2,X1)|~v10_vectsp_1(esk3_0,X1)|~v10_vectsp_1(X2,X1)|~v9_vectsp_1(esk3_0,X1)|~v9_vectsp_1(X2,X1)|~v8_vectsp_1(esk3_0,X1)|~v8_vectsp_1(X2,X1)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102, c_0_103])])).
fof(c_0_109, plain, ![X57]:(v2_struct_0(X57)|v6_struct_0(X57)|~v13_algstr_0(X57)|~v33_algstr_0(X57)|~v2_rlvect_1(X57)|~v3_rlvect_1(X57)|~v4_rlvect_1(X57)|~v4_vectsp_1(X57)|~v5_vectsp_1(X57)|~v3_group_1(X57)|~v5_group_1(X57)|~l6_algstr_0(X57)|epred3_1(X57)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])])).
cnf(c_0_110, negated_conjecture, (~v2_funct_1(k5_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))|~v1_vectsp_7(k1_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0),esk1_0,esk3_0)|~v2_funct_1(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_111, negated_conjecture, (v1_vectsp_7(k1_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0),esk1_0,esk3_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75])]), c_0_106]), c_0_76]), c_0_107])).
cnf(c_0_112, negated_conjecture, (v2_funct_1(k5_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0))|v7_struct_0(X1)|v2_struct_0(X1)|~epred3_1(esk1_0)|~v1_vectsp_7(k1_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0),esk1_0,esk3_0)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X1)))|~v2_vectsp_7(esk4_0,esk1_0,X1)|~l1_vectsp_1(X1,esk1_0)|~v1_matrlin(X1,esk1_0)|~v11_vectsp_1(X1,esk1_0)|~v10_vectsp_1(X1,esk1_0)|~v9_vectsp_1(X1,esk1_0)|~v8_vectsp_1(X1,esk1_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_32]), c_0_93]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_113, plain, (v2_struct_0(X1)|v6_struct_0(X1)|epred3_1(X1)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_109])).
cnf(c_0_114, negated_conjecture, (~v2_funct_1(k5_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))|~v2_funct_1(esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110, c_0_111])])).
cnf(c_0_115, negated_conjecture, (v2_funct_1(k5_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0))|v7_struct_0(X1)|v2_struct_0(X1)|~v1_vectsp_7(k1_vectsp13(esk1_0,X1,esk3_0,esk4_0,esk5_0),esk1_0,esk3_0)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X1)))|~v2_vectsp_7(esk4_0,esk1_0,X1)|~l1_vectsp_1(X1,esk1_0)|~v1_matrlin(X1,esk1_0)|~v11_vectsp_1(X1,esk1_0)|~v10_vectsp_1(X1,esk1_0)|~v9_vectsp_1(X1,esk1_0)|~v8_vectsp_1(X1,esk1_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_113]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46])]), c_0_47]), c_0_48])).
cnf(c_0_116, negated_conjecture, (~v2_funct_1(k5_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114, c_0_103])])).
cnf(c_0_117, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_64]), c_0_111]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75])]), c_0_116]), c_0_106]), c_0_76]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 118
# Proof object clause steps            : 88
# Proof object formula steps           : 30
# Proof object conjectures             : 76
# Proof object clause conjectures      : 73
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 57
# Proof object initial formulas used   : 8
# Proof object generating inferences   : 27
# Proof object simplifying inferences  : 294
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 8
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 58
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 58
# Processed clauses                    : 197
# ...of these trivial                  : 0
# ...subsumed                          : 2
# ...remaining for further processing  : 195
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 6
# Backward-rewritten                   : 10
# Generated clauses                    : 107
# ...of the previous two non-trivial   : 108
# Contextual simplify-reflections      : 20
# Paramodulations                      : 105
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 119
#    Positive orientable unit clauses  : 47
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 66
# Current number of unprocessed clauses: 26
# ...number of literals in the above   : 799
# Current number of archived formulas  : 0
# Current number of archived clauses   : 74
# Clause-clause subsumption calls (NU) : 13550
# Rec. Clause-clause subsumption calls : 99
# Non-unit clause-clause subsumptions  : 27
# Unit Clause-clause subsumption calls : 158
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 26361

# -------------------------------------------------
# User time                : 0.052 s
# System time              : 0.000 s
# Total time               : 0.052 s
# Maximum resident set size: 3372 pages
