# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(fc2_ring_4, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&v2_ring_4(k12_polynom3(X1),X1))), file('e_trans1/e_trans1__l64_e_trans1', fc2_ring_4)).
fof(fc1_ring_4, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&l2_struct_0(X1))&~(v2_struct_0(X2)))&v2_ring_4(X2,X1))&l1_struct_0(X2))=>v1_ring_4(u1_struct_0(X2),X1)), file('e_trans1/e_trans1__l64_e_trans1', fc1_ring_4)).
fof(fc4_int_3, axiom, ((((((((~(v6_struct_0(k1_int_3))&v13_algstr_0(k1_int_3))&v3_group_1(k1_int_3))&v5_group_1(k1_int_3))&v2_rlvect_1(k1_int_3))&v3_rlvect_1(k1_int_3))&v4_rlvect_1(k1_int_3))&v5_vectsp_1(k1_int_3))&v1_vectsp_2(k1_int_3)), file('e_trans1/e_trans1__l64_e_trans1', fc4_int_3)).
fof(fc1_int_3, axiom, (~(v2_struct_0(k1_int_3))&v36_algstr_0(k1_int_3)), file('e_trans1/e_trans1__l64_e_trans1', fc1_int_3)).
fof(dt_k1_int_3, axiom, l6_algstr_0(k1_int_3), file('e_trans1/e_trans1__l64_e_trans1', dt_k1_int_3)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('e_trans1/e_trans1__l64_e_trans1', dt_l2_algstr_0)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('e_trans1/e_trans1__l64_e_trans1', dt_l6_algstr_0)).
fof(redefinition_m1_ring_4, axiom, ![X1, X2]:((((~(v2_struct_0(X1))&l2_struct_0(X1))&~(v1_xboole_0(X2)))&v1_ring_4(X2,X1))=>![X3]:(m1_ring_4(X3,X1,X2)<=>m1_subset_1(X3,X2))), file('e_trans1/e_trans1__l64_e_trans1', redefinition_m1_ring_4)).
fof(l64_e_trans1, conjecture, ![X1]:(m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))=>r2_fdiff_1(k9_e_trans1(X1),k1_numbers)), file('e_trans1/e_trans1__l64_e_trans1', l64_e_trans1)).
fof(dt_l1_algstr_0, axiom, ![X1]:(l1_algstr_0(X1)=>l1_struct_0(X1)), file('e_trans1/e_trans1__l64_e_trans1', dt_l1_algstr_0)).
fof(dt_k12_polynom3, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&l6_algstr_0(k12_polynom3(X1)))), file('e_trans1/e_trans1__l64_e_trans1', dt_k12_polynom3)).
fof(fc8_vectsp_1, axiom, (((((((((((~(v6_struct_0(k2_vectsp_1))&v13_algstr_0(k2_vectsp_1))&v33_algstr_0(k2_vectsp_1))&v36_algstr_0(k2_vectsp_1))&v2_rlvect_1(k2_vectsp_1))&v3_rlvect_1(k2_vectsp_1))&v4_rlvect_1(k2_vectsp_1))&v3_group_1(k2_vectsp_1))&v5_group_1(k2_vectsp_1))&v3_vectsp_1(k2_vectsp_1))&v5_vectsp_1(k2_vectsp_1))&v6_vectsp_1(k2_vectsp_1)), file('e_trans1/e_trans1__l64_e_trans1', fc8_vectsp_1)).
fof(fc4_vectsp_1, axiom, (~(v2_struct_0(k2_vectsp_1))&v36_algstr_0(k2_vectsp_1)), file('e_trans1/e_trans1__l64_e_trans1', fc4_vectsp_1)).
fof(dt_k2_vectsp_1, axiom, (v36_algstr_0(k2_vectsp_1)&l6_algstr_0(k2_vectsp_1)), file('e_trans1/e_trans1__l64_e_trans1', dt_k2_vectsp_1)).
fof(dt_k4_rlvect_1, axiom, ![X1, X2]:((((((~(v2_struct_0(X1))&l2_algstr_0(X1))&v1_relat_1(X2))&v5_relat_1(X2,u1_struct_0(X1)))&v1_funct_1(X2))&v1_finseq_1(X2))=>m1_subset_1(k4_rlvect_1(X1,X2),u1_struct_0(X1))), file('e_trans1/e_trans1__l64_e_trans1', dt_k4_rlvect_1)).
fof(cc2_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>(v4_relat_1(X3,X1)&v5_relat_1(X3,X2))), file('e_trans1/e_trans1__l64_e_trans1', cc2_relset_1)).
fof(dt_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)=>((v1_funct_1(X2)&v1_finseq_1(X2))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X1))))), file('e_trans1/e_trans1__l64_e_trans1', dt_m2_finseq_1)).
fof(dt_m1_finseq_1, axiom, ![X1, X2]:(m1_finseq_1(X2,X1)=>((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))), file('e_trans1/e_trans1__l64_e_trans1', dt_m1_finseq_1)).
fof(redefinition_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)<=>m1_finseq_1(X2,X1)), file('e_trans1/e_trans1__l64_e_trans1', redefinition_m2_finseq_1)).
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('e_trans1/e_trans1__l64_e_trans1', fc2_struct_0)).
fof(dt_k5_e_trans1, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))=>m1_ring_4(k5_e_trans1(X1),k2_vectsp_1,u1_struct_0(k12_polynom3(k2_vectsp_1)))), file('e_trans1/e_trans1__l64_e_trans1', dt_k5_e_trans1)).
fof(dt_k8_e_trans1, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))=>m2_finseq_1(k8_e_trans1(X1),u1_struct_0(k12_polynom3(k1_int_3)))), file('e_trans1/e_trans1__l64_e_trans1', dt_k8_e_trans1)).
fof(d8_fdiff_1, axiom, ![X1]:((v1_funct_1(X1)&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))=>(v4_fdiff_1(X1)<=>r2_fdiff_1(X1,k1_relset_1(k1_numbers,X1)))), file('e_trans1/e_trans1__l64_e_trans1', d8_fdiff_1)).
fof(l62_e_trans1, axiom, ![X1]:(m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))=>(k1_relset_1(k1_numbers,k9_e_trans1(X1))=k1_numbers&k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k22_sin_cos),k9_e_trans1(X1)))=k1_numbers)), file('e_trans1/e_trans1__l64_e_trans1', l62_e_trans1)).
fof(dt_k2_basel_2, axiom, ![X1, X2]:(((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(k12_polynom3(X1))))=>(((v1_funct_1(k2_basel_2(X1,X2))&v1_funct_2(k2_basel_2(X1,X2),k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(k2_basel_2(X1,X2),X1))&m1_subset_1(k2_basel_2(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), file('e_trans1/e_trans1__l64_e_trans1', dt_k2_basel_2)).
fof(dt_k9_e_trans1, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))=>((v1_funct_1(k9_e_trans1(X1))&v1_funct_2(k9_e_trans1(X1),k1_numbers,k1_numbers))&m1_subset_1(k9_e_trans1(X1),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))), file('e_trans1/e_trans1__l64_e_trans1', dt_k9_e_trans1)).
fof(fc18_polydiff, axiom, ![X1]:((((v1_funct_1(X1)&v1_funct_2(X1,k4_ordinal1,u1_struct_0(k2_vectsp_1)))&v1_polynom1(X1,k2_vectsp_1))&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_vectsp_1)))))=>((v1_funct_1(k5_polydiff(X1))&v1_funct_2(k5_polydiff(X1),k1_numbers,k1_numbers))&v4_fdiff_1(k5_polydiff(X1)))), file('e_trans1/e_trans1__l64_e_trans1', fc18_polydiff)).
fof(d9_e_trans1, axiom, ![X1]:(m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))=>k9_e_trans1(X1)=k5_polydiff(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(X1)))))), file('e_trans1/e_trans1__l64_e_trans1', d9_e_trans1)).
fof(c_0_28, plain, ![X1]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&v2_ring_4(k12_polynom3(X1),X1))), inference(fof_simplification,[status(thm)],[fc2_ring_4])).
fof(c_0_29, plain, ![X1, X2]:(((((~v2_struct_0(X1)&l2_struct_0(X1))&~v2_struct_0(X2))&v2_ring_4(X2,X1))&l1_struct_0(X2))=>v1_ring_4(u1_struct_0(X2),X1)), inference(fof_simplification,[status(thm)],[fc1_ring_4])).
fof(c_0_30, plain, ![X66]:(((~v2_struct_0(k12_polynom3(X66))|(v2_struct_0(X66)|~v13_algstr_0(X66)|~v3_rlvect_1(X66)|~v4_rlvect_1(X66)|~v5_vectsp_1(X66)|~l6_algstr_0(X66)))&(v36_algstr_0(k12_polynom3(X66))|(v2_struct_0(X66)|~v13_algstr_0(X66)|~v3_rlvect_1(X66)|~v4_rlvect_1(X66)|~v5_vectsp_1(X66)|~l6_algstr_0(X66))))&(v2_ring_4(k12_polynom3(X66),X66)|(v2_struct_0(X66)|~v13_algstr_0(X66)|~v3_rlvect_1(X66)|~v4_rlvect_1(X66)|~v5_vectsp_1(X66)|~l6_algstr_0(X66)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])).
fof(c_0_31, plain, ((((((((~v6_struct_0(k1_int_3)&v13_algstr_0(k1_int_3))&v3_group_1(k1_int_3))&v5_group_1(k1_int_3))&v2_rlvect_1(k1_int_3))&v3_rlvect_1(k1_int_3))&v4_rlvect_1(k1_int_3))&v5_vectsp_1(k1_int_3))&v1_vectsp_2(k1_int_3)), inference(fof_simplification,[status(thm)],[fc4_int_3])).
fof(c_0_32, plain, (~v2_struct_0(k1_int_3)&v36_algstr_0(k1_int_3)), inference(fof_simplification,[status(thm)],[fc1_int_3])).
fof(c_0_33, plain, ![X64, X65]:(v2_struct_0(X64)|~l2_struct_0(X64)|v2_struct_0(X65)|~v2_ring_4(X65,X64)|~l1_struct_0(X65)|v1_ring_4(u1_struct_0(X65),X64)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])).
cnf(c_0_34, plain, (v2_ring_4(k12_polynom3(X1),X1)|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_35, plain, (l6_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[dt_k1_int_3])).
cnf(c_0_36, plain, (v5_vectsp_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_37, plain, (v4_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_38, plain, (v3_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_39, plain, (v13_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_40, plain, (~v2_struct_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_32])).
fof(c_0_41, plain, ![X55]:((l2_struct_0(X55)|~l2_algstr_0(X55))&(l1_algstr_0(X55)|~l2_algstr_0(X55))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
fof(c_0_42, plain, ![X58]:((l2_algstr_0(X58)|~l6_algstr_0(X58))&(l5_algstr_0(X58)|~l6_algstr_0(X58))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_43, plain, ![X1, X2]:((((~v2_struct_0(X1)&l2_struct_0(X1))&~v1_xboole_0(X2))&v1_ring_4(X2,X1))=>![X3]:(m1_ring_4(X3,X1,X2)<=>m1_subset_1(X3,X2))), inference(fof_simplification,[status(thm)],[redefinition_m1_ring_4])).
fof(c_0_44, negated_conjecture, ~(![X1]:(m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))=>r2_fdiff_1(k9_e_trans1(X1),k1_numbers))), inference(assume_negation,[status(cth)],[l64_e_trans1])).
cnf(c_0_45, plain, (v2_struct_0(X1)|v2_struct_0(X2)|v1_ring_4(u1_struct_0(X2),X1)|~l2_struct_0(X1)|~v2_ring_4(X2,X1)|~l1_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_46, plain, (v2_ring_4(k12_polynom3(k1_int_3),k1_int_3)), 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(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39])]), c_0_40])).
cnf(c_0_47, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_48, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
fof(c_0_49, plain, ![X54]:(~l1_algstr_0(X54)|l1_struct_0(X54)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_algstr_0])])).
fof(c_0_50, plain, ![X1]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&l6_algstr_0(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[dt_k12_polynom3])).
fof(c_0_51, plain, ![X69, X70, X71]:((~m1_ring_4(X71,X69,X70)|m1_subset_1(X71,X70)|(v2_struct_0(X69)|~l2_struct_0(X69)|v1_xboole_0(X70)|~v1_ring_4(X70,X69)))&(~m1_subset_1(X71,X70)|m1_ring_4(X71,X69,X70)|(v2_struct_0(X69)|~l2_struct_0(X69)|v1_xboole_0(X70)|~v1_ring_4(X70,X69)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])])).
fof(c_0_52, negated_conjecture, (m1_ring_4(esk1_0,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))&~r2_fdiff_1(k9_e_trans1(esk1_0),k1_numbers)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])).
cnf(c_0_53, plain, (v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)|v2_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)|~l1_struct_0(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_40])).
cnf(c_0_54, plain, (l2_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_47, c_0_48])).
cnf(c_0_55, plain, (l1_struct_0(X1)|~l1_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_56, plain, (l1_algstr_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
fof(c_0_57, plain, ![X46]:(((~v2_struct_0(k12_polynom3(X46))|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v5_vectsp_1(X46)|~l6_algstr_0(X46)))&(v36_algstr_0(k12_polynom3(X46))|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v5_vectsp_1(X46)|~l6_algstr_0(X46))))&(l6_algstr_0(k12_polynom3(X46))|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v5_vectsp_1(X46)|~l6_algstr_0(X46)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])).
fof(c_0_58, plain, (((((((((((~v6_struct_0(k2_vectsp_1)&v13_algstr_0(k2_vectsp_1))&v33_algstr_0(k2_vectsp_1))&v36_algstr_0(k2_vectsp_1))&v2_rlvect_1(k2_vectsp_1))&v3_rlvect_1(k2_vectsp_1))&v4_rlvect_1(k2_vectsp_1))&v3_group_1(k2_vectsp_1))&v5_group_1(k2_vectsp_1))&v3_vectsp_1(k2_vectsp_1))&v5_vectsp_1(k2_vectsp_1))&v6_vectsp_1(k2_vectsp_1)), inference(fof_simplification,[status(thm)],[fc8_vectsp_1])).
fof(c_0_59, plain, (~v2_struct_0(k2_vectsp_1)&v36_algstr_0(k2_vectsp_1)), inference(fof_simplification,[status(thm)],[fc4_vectsp_1])).
cnf(c_0_60, plain, (m1_subset_1(X1,X3)|v2_struct_0(X2)|v1_xboole_0(X3)|~m1_ring_4(X1,X2,X3)|~l2_struct_0(X2)|~v1_ring_4(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_61, negated_conjecture, (m1_ring_4(esk1_0,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_62, plain, (v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)|v2_struct_0(k12_polynom3(k1_int_3))|~l1_struct_0(k12_polynom3(k1_int_3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_35])])).
cnf(c_0_63, plain, (l1_struct_0(X1)|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_64, plain, (l6_algstr_0(k12_polynom3(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_65, plain, (l6_algstr_0(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[dt_k2_vectsp_1])).
cnf(c_0_66, plain, (v5_vectsp_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_67, plain, (v4_rlvect_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_68, plain, (v3_rlvect_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_69, plain, (v13_algstr_0(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_70, plain, (~v2_struct_0(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_59])).
fof(c_0_71, plain, ![X1, X2]:((((((~v2_struct_0(X1)&l2_algstr_0(X1))&v1_relat_1(X2))&v5_relat_1(X2,u1_struct_0(X1)))&v1_funct_1(X2))&v1_finseq_1(X2))=>m1_subset_1(k4_rlvect_1(X1,X2),u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[dt_k4_rlvect_1])).
fof(c_0_72, plain, ![X40, X41, X42]:((v4_relat_1(X42,X40)|~m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(X40,X41))))&(v5_relat_1(X42,X41)|~m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(X40,X41))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_relset_1])])])).
fof(c_0_73, plain, ![X61, X62]:(((v1_funct_1(X62)|~m2_finseq_1(X62,X61))&(v1_finseq_1(X62)|~m2_finseq_1(X62,X61)))&(m1_subset_1(X62,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X61)))|~m2_finseq_1(X62,X61))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_finseq_1])])])).
fof(c_0_74, plain, ![X59, X60]:(((v1_relat_1(X60)|~m1_finseq_1(X60,X59))&(v1_funct_1(X60)|~m1_finseq_1(X60,X59)))&(v1_finseq_1(X60)|~m1_finseq_1(X60,X59))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_finseq_1])])])).
fof(c_0_75, plain, ![X72, X73]:((~m2_finseq_1(X73,X72)|m1_finseq_1(X73,X72))&(~m1_finseq_1(X73,X72)|m2_finseq_1(X73,X72))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_finseq_1])])).
fof(c_0_76, plain, ![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>~v1_xboole_0(u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[fc2_struct_0])).
cnf(c_0_77, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|m1_subset_1(esk1_0,u1_struct_0(k12_polynom3(k1_int_3)))|~v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)|~l2_struct_0(k1_int_3)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_40])).
cnf(c_0_78, plain, (v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)|v2_struct_0(k12_polynom3(k1_int_3))|~l2_algstr_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_62, c_0_63])).
cnf(c_0_79, plain, (l6_algstr_0(k12_polynom3(k1_int_3))), 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(spm,[status(thm)],[c_0_64, c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39])]), c_0_40])).
cnf(c_0_80, plain, (v2_ring_4(k12_polynom3(k2_vectsp_1),k2_vectsp_1)), 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(spm,[status(thm)],[c_0_34, c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69])]), c_0_70])).
fof(c_0_81, plain, ![X49, X50]:(v2_struct_0(X49)|~l2_algstr_0(X49)|~v1_relat_1(X50)|~v5_relat_1(X50,u1_struct_0(X49))|~v1_funct_1(X50)|~v1_finseq_1(X50)|m1_subset_1(k4_rlvect_1(X49,X50),u1_struct_0(X49))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])).
cnf(c_0_82, plain, (v5_relat_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_83, plain, (m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X2)))|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_84, plain, (v1_relat_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_85, plain, (m1_finseq_1(X1,X2)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_75])).
fof(c_0_86, plain, ![X67]:(v2_struct_0(X67)|~l1_struct_0(X67)|~v1_xboole_0(u1_struct_0(X67))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])).
cnf(c_0_87, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|m1_subset_1(esk1_0,u1_struct_0(k12_polynom3(k1_int_3)))|~v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_54]), c_0_35])])).
cnf(c_0_88, plain, (v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)|v2_struct_0(k12_polynom3(k1_int_3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_48]), c_0_79])])).
fof(c_0_89, plain, ![X51]:(~m1_subset_1(X51,u1_struct_0(k12_polynom3(k1_int_3)))|m1_ring_4(k5_e_trans1(X51),k2_vectsp_1,u1_struct_0(k12_polynom3(k2_vectsp_1)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_e_trans1])])).
cnf(c_0_90, plain, (v1_ring_4(u1_struct_0(k12_polynom3(k2_vectsp_1)),k2_vectsp_1)|v2_struct_0(k12_polynom3(k2_vectsp_1))|~l2_struct_0(k2_vectsp_1)|~l1_struct_0(k12_polynom3(k2_vectsp_1))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_80]), c_0_70])).
cnf(c_0_91, plain, (v2_struct_0(X1)|m1_subset_1(k4_rlvect_1(X1,X2),u1_struct_0(X1))|~l2_algstr_0(X1)|~v1_relat_1(X2)|~v5_relat_1(X2,u1_struct_0(X1))|~v1_funct_1(X2)|~v1_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_92, plain, (v5_relat_1(X1,X2)|~m2_finseq_1(X1,X2)), inference(spm,[status(thm)],[c_0_82, c_0_83])).
cnf(c_0_93, plain, (v1_funct_1(X1)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_94, plain, (v1_relat_1(X1)|~m2_finseq_1(X1,X2)), inference(spm,[status(thm)],[c_0_84, c_0_85])).
cnf(c_0_95, plain, (v1_finseq_1(X1)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_73])).
fof(c_0_96, plain, ![X52]:(~m1_subset_1(X52,u1_struct_0(k12_polynom3(k1_int_3)))|m2_finseq_1(k8_e_trans1(X52),u1_struct_0(k12_polynom3(k1_int_3)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_e_trans1])])).
cnf(c_0_97, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_98, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|v2_struct_0(k12_polynom3(k1_int_3))|m1_subset_1(esk1_0,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_87, c_0_88])).
cnf(c_0_99, plain, (m1_ring_4(k5_e_trans1(X1),k2_vectsp_1,u1_struct_0(k12_polynom3(k2_vectsp_1)))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_100, plain, (v1_ring_4(u1_struct_0(k12_polynom3(k2_vectsp_1)),k2_vectsp_1)|v2_struct_0(k12_polynom3(k2_vectsp_1))|~l1_struct_0(k12_polynom3(k2_vectsp_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_54]), c_0_65])])).
cnf(c_0_101, plain, (v2_struct_0(X1)|m1_subset_1(k4_rlvect_1(X1,X2),u1_struct_0(X1))|~m2_finseq_1(X2,u1_struct_0(X1))|~l2_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_93]), c_0_94]), c_0_95])).
cnf(c_0_102, plain, (m2_finseq_1(k8_e_trans1(X1),u1_struct_0(k12_polynom3(k1_int_3)))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_96])).
cnf(c_0_103, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|m1_subset_1(esk1_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l1_struct_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_97, c_0_98])).
cnf(c_0_104, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(k2_vectsp_1)))|m1_subset_1(k5_e_trans1(X1),u1_struct_0(k12_polynom3(k2_vectsp_1)))|~v1_ring_4(u1_struct_0(k12_polynom3(k2_vectsp_1)),k2_vectsp_1)|~l2_struct_0(k2_vectsp_1)|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_99]), c_0_70])).
cnf(c_0_105, plain, (v1_ring_4(u1_struct_0(k12_polynom3(k2_vectsp_1)),k2_vectsp_1)|v2_struct_0(k12_polynom3(k2_vectsp_1))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(spm,[status(thm)],[c_0_100, c_0_63])).
cnf(c_0_106, plain, (l6_algstr_0(k12_polynom3(k2_vectsp_1))), 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(spm,[status(thm)],[c_0_64, c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69])]), c_0_70])).
cnf(c_0_107, plain, (v2_struct_0(k12_polynom3(k1_int_3))|m1_subset_1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(X1)),u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k1_int_3))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_101, c_0_102])).
cnf(c_0_108, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|m1_subset_1(esk1_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_103, c_0_63])).
fof(c_0_109, plain, ![X44]:((~v4_fdiff_1(X44)|r2_fdiff_1(X44,k1_relset_1(k1_numbers,X44))|(~v1_funct_1(X44)|~m1_subset_1(X44,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))&(~r2_fdiff_1(X44,k1_relset_1(k1_numbers,X44))|v4_fdiff_1(X44)|(~v1_funct_1(X44)|~m1_subset_1(X44,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_fdiff_1])])])).
fof(c_0_110, plain, ![X68]:((k1_relset_1(k1_numbers,k9_e_trans1(X68))=k1_numbers|~m1_ring_4(X68,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3))))&(k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k22_sin_cos),k9_e_trans1(X68)))=k1_numbers|~m1_ring_4(X68,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l62_e_trans1])])])).
fof(c_0_111, plain, ![X1, X2]:(((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(k12_polynom3(X1))))=>(((v1_funct_1(k2_basel_2(X1,X2))&v1_funct_2(k2_basel_2(X1,X2),k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(k2_basel_2(X1,X2),X1))&m1_subset_1(k2_basel_2(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k2_basel_2])).
cnf(c_0_112, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(k2_vectsp_1)))|m1_subset_1(k5_e_trans1(X1),u1_struct_0(k12_polynom3(k2_vectsp_1)))|~v1_ring_4(u1_struct_0(k12_polynom3(k2_vectsp_1)),k2_vectsp_1)|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_54]), c_0_65])])).
cnf(c_0_113, plain, (v1_ring_4(u1_struct_0(k12_polynom3(k2_vectsp_1)),k2_vectsp_1)|v2_struct_0(k12_polynom3(k2_vectsp_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_48]), c_0_106])])).
cnf(c_0_114, plain, (v2_struct_0(k12_polynom3(k1_int_3))|m1_subset_1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(X1)),u1_struct_0(k12_polynom3(k1_int_3)))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_48]), c_0_79])])).
cnf(c_0_115, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|m1_subset_1(esk1_0,u1_struct_0(k12_polynom3(k1_int_3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_48]), c_0_79])])).
cnf(c_0_116, plain, (r2_fdiff_1(X1,k1_relset_1(k1_numbers,X1))|~v4_fdiff_1(X1)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_109])).
cnf(c_0_117, plain, (k1_relset_1(k1_numbers,k9_e_trans1(X1))=k1_numbers|~m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_110])).
fof(c_0_118, plain, ![X53]:(((v1_funct_1(k9_e_trans1(X53))|~m1_subset_1(X53,u1_struct_0(k12_polynom3(k1_int_3))))&(v1_funct_2(k9_e_trans1(X53),k1_numbers,k1_numbers)|~m1_subset_1(X53,u1_struct_0(k12_polynom3(k1_int_3)))))&(m1_subset_1(k9_e_trans1(X53),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~m1_subset_1(X53,u1_struct_0(k12_polynom3(k1_int_3))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_e_trans1])])])).
fof(c_0_119, plain, ![X63]:(((v1_funct_1(k5_polydiff(X63))|(~v1_funct_1(X63)|~v1_funct_2(X63,k4_ordinal1,u1_struct_0(k2_vectsp_1))|~v1_polynom1(X63,k2_vectsp_1)|~m1_subset_1(X63,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_vectsp_1))))))&(v1_funct_2(k5_polydiff(X63),k1_numbers,k1_numbers)|(~v1_funct_1(X63)|~v1_funct_2(X63,k4_ordinal1,u1_struct_0(k2_vectsp_1))|~v1_polynom1(X63,k2_vectsp_1)|~m1_subset_1(X63,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_vectsp_1)))))))&(v4_fdiff_1(k5_polydiff(X63))|(~v1_funct_1(X63)|~v1_funct_2(X63,k4_ordinal1,u1_struct_0(k2_vectsp_1))|~v1_polynom1(X63,k2_vectsp_1)|~m1_subset_1(X63,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_vectsp_1))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc18_polydiff])])])).
fof(c_0_120, plain, ![X45]:(~m1_ring_4(X45,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))|k9_e_trans1(X45)=k5_polydiff(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(X45)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_e_trans1])])).
fof(c_0_121, plain, ![X47, X48]:((((v1_funct_1(k2_basel_2(X47,X48))|(v2_struct_0(X47)|~v13_algstr_0(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~v5_vectsp_1(X47)|~l6_algstr_0(X47)|~m1_subset_1(X48,u1_struct_0(k12_polynom3(X47)))))&(v1_funct_2(k2_basel_2(X47,X48),k4_ordinal1,u1_struct_0(X47))|(v2_struct_0(X47)|~v13_algstr_0(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~v5_vectsp_1(X47)|~l6_algstr_0(X47)|~m1_subset_1(X48,u1_struct_0(k12_polynom3(X47))))))&(v1_polynom1(k2_basel_2(X47,X48),X47)|(v2_struct_0(X47)|~v13_algstr_0(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~v5_vectsp_1(X47)|~l6_algstr_0(X47)|~m1_subset_1(X48,u1_struct_0(k12_polynom3(X47))))))&(m1_subset_1(k2_basel_2(X47,X48),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X47))))|(v2_struct_0(X47)|~v13_algstr_0(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~v5_vectsp_1(X47)|~l6_algstr_0(X47)|~m1_subset_1(X48,u1_struct_0(k12_polynom3(X47)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_111])])])).
cnf(c_0_122, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(k2_vectsp_1)))|v2_struct_0(k12_polynom3(k2_vectsp_1))|m1_subset_1(k5_e_trans1(X1),u1_struct_0(k12_polynom3(k2_vectsp_1)))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_112, c_0_113])).
cnf(c_0_123, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|m1_subset_1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(esk1_0)),u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_114, c_0_115])).
cnf(c_0_124, plain, (r2_fdiff_1(k9_e_trans1(X1),k1_numbers)|~v4_fdiff_1(k9_e_trans1(X1))|~v1_funct_1(k9_e_trans1(X1))|~m1_subset_1(k9_e_trans1(X1),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_116, c_0_117])).
cnf(c_0_125, plain, (m1_subset_1(k9_e_trans1(X1),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_118])).
cnf(c_0_126, plain, (v1_funct_1(k9_e_trans1(X1))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_118])).
cnf(c_0_127, plain, (v4_fdiff_1(k5_polydiff(X1))|~v1_funct_1(X1)|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(k2_vectsp_1))|~v1_polynom1(X1,k2_vectsp_1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_vectsp_1))))), inference(split_conjunct,[status(thm)],[c_0_119])).
cnf(c_0_128, plain, (k9_e_trans1(X1)=k5_polydiff(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(X1)))))|~m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_120])).
cnf(c_0_129, plain, (m1_subset_1(k2_basel_2(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_121])).
cnf(c_0_130, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k2_vectsp_1)))|v2_struct_0(k12_polynom3(k1_int_3))|v2_struct_0(k12_polynom3(k2_vectsp_1))|m1_subset_1(k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(esk1_0))),u1_struct_0(k12_polynom3(k2_vectsp_1)))), inference(spm,[status(thm)],[c_0_122, c_0_123])).
cnf(c_0_131, plain, (v1_funct_1(k2_basel_2(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_121])).
cnf(c_0_132, plain, (v1_funct_2(k2_basel_2(X1,X2),k4_ordinal1,u1_struct_0(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_121])).
cnf(c_0_133, plain, (v1_polynom1(k2_basel_2(X1,X2),X1)|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_121])).
cnf(c_0_134, negated_conjecture, (~r2_fdiff_1(k9_e_trans1(esk1_0),k1_numbers)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_135, plain, (r2_fdiff_1(k9_e_trans1(X1),k1_numbers)|~v4_fdiff_1(k9_e_trans1(X1))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_125]), c_0_126])).
cnf(c_0_136, plain, (v4_fdiff_1(k9_e_trans1(X1))|~v1_polynom1(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(X1)))),k2_vectsp_1)|~v1_funct_2(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(X1)))),k4_ordinal1,u1_struct_0(k2_vectsp_1))|~v1_funct_1(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(X1)))))|~m1_subset_1(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(X1)))),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_vectsp_1))))|~m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_127, c_0_128])).
cnf(c_0_137, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k2_vectsp_1)))|v2_struct_0(k12_polynom3(k2_vectsp_1))|v2_struct_0(k12_polynom3(k1_int_3))|m1_subset_1(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(esk1_0)))),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k2_vectsp_1))))), 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(spm,[status(thm)],[c_0_129, c_0_130]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69])]), c_0_70])).
cnf(c_0_138, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k2_vectsp_1)))|v2_struct_0(k12_polynom3(k2_vectsp_1))|v2_struct_0(k12_polynom3(k1_int_3))|v1_funct_1(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(esk1_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(spm,[status(thm)],[c_0_131, c_0_130]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69])]), c_0_70])).
cnf(c_0_139, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k2_vectsp_1)))|v1_funct_2(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(esk1_0)))),k4_ordinal1,u1_struct_0(k2_vectsp_1))|v2_struct_0(k12_polynom3(k2_vectsp_1))|v2_struct_0(k12_polynom3(k1_int_3))), 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(spm,[status(thm)],[c_0_132, c_0_130]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69])]), c_0_70])).
cnf(c_0_140, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k2_vectsp_1)))|v1_polynom1(k2_basel_2(k2_vectsp_1,k5_e_trans1(k4_rlvect_1(k12_polynom3(k1_int_3),k8_e_trans1(esk1_0)))),k2_vectsp_1)|v2_struct_0(k12_polynom3(k2_vectsp_1))|v2_struct_0(k12_polynom3(k1_int_3))), 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(spm,[status(thm)],[c_0_133, c_0_130]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69])]), c_0_70])).
cnf(c_0_141, negated_conjecture, (~v4_fdiff_1(k9_e_trans1(esk1_0))|~m1_subset_1(esk1_0,u1_struct_0(k12_polynom3(k1_int_3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_135]), c_0_61])])).
cnf(c_0_142, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k2_vectsp_1)))|v2_struct_0(k12_polynom3(k1_int_3))|v2_struct_0(k12_polynom3(k2_vectsp_1))|v4_fdiff_1(k9_e_trans1(esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_137]), c_0_61])]), c_0_138]), c_0_139]), c_0_140])).
cnf(c_0_143, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k2_vectsp_1)))|v2_struct_0(k12_polynom3(k2_vectsp_1))|v2_struct_0(k12_polynom3(k1_int_3))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_142]), c_0_115])).
cnf(c_0_144, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v2_struct_0(k12_polynom3(k2_vectsp_1))|~l1_struct_0(k12_polynom3(k2_vectsp_1))), inference(spm,[status(thm)],[c_0_97, c_0_143])).
cnf(c_0_145, negated_conjecture, (v2_struct_0(k12_polynom3(k2_vectsp_1))|v2_struct_0(k12_polynom3(k1_int_3))|~l2_algstr_0(k12_polynom3(k2_vectsp_1))), inference(spm,[status(thm)],[c_0_144, c_0_63])).
cnf(c_0_146, plain, (v2_struct_0(X1)|~v2_struct_0(k12_polynom3(X1))|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_147, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v2_struct_0(k12_polynom3(k2_vectsp_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_48]), c_0_106])])).
cnf(c_0_148, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))), 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(spm,[status(thm)],[c_0_146, c_0_147]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69])]), c_0_70])).
cnf(c_0_149, negated_conjecture, ($false), 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(spm,[status(thm)],[c_0_146, c_0_148]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39])]), c_0_40]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 150
# Proof object clause steps            : 88
# Proof object formula steps           : 62
# Proof object conjectures             : 25
# Proof object clause conjectures      : 22
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 43
# Proof object initial formulas used   : 28
# Proof object generating inferences   : 45
# Proof object simplifying inferences  : 100
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 31
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 78
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 78
# Processed clauses                    : 332
# ...of these trivial                  : 2
# ...subsumed                          : 26
# ...remaining for further processing  : 304
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 61
# Backward-rewritten                   : 52
# Generated clauses                    : 217
# ...of the previous two non-trivial   : 212
# Contextual simplify-reflections      : 20
# Paramodulations                      : 217
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# 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  : 117
#    Positive orientable unit clauses  : 31
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 81
# Current number of unprocessed clauses: 32
# ...number of literals in the above   : 174
# Current number of archived formulas  : 0
# Current number of archived clauses   : 187
# Clause-clause subsumption calls (NU) : 15397
# Rec. Clause-clause subsumption calls : 3561
# Non-unit clause-clause subsumptions  : 107
# Unit Clause-clause subsumption calls : 19
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 13158

# -------------------------------------------------
# User time                : 0.034 s
# System time              : 0.004 s
# Total time               : 0.039 s
# Maximum resident set size: 3456 pages
