# 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       : 0.030 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k5_field_16, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_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))&l6_algstr_0(X1))=>((v1_funct_1(k5_field_16(X1))&v1_funct_2(k5_field_16(X1),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k5_field_16(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), file('field_16/field_16__t61_field_16', dt_k5_field_16)).
fof(t61_field_16, conjecture, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~(v8_ordinal1(X2)))=>![X3]:((((((((((((~(v2_struct_0(X3))&~(v6_struct_0(X3)))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>r2_funct_2(u1_struct_0(X3),u1_struct_0(X3),k2_field_16(X3,k5_field_16(X3),X2),k3_struct_0(X3)))))), file('field_16/field_16__t61_field_16', t61_field_16)).
fof(dt_k2_field_16, axiom, ![X1, X2, X3]:((((((~(v2_struct_0(X1))&l1_struct_0(X1))&v1_funct_1(X2))&v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))&v7_ordinal1(X3))=>((v1_funct_1(k2_field_16(X1,X2,X3))&v1_funct_2(k2_field_16(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k2_field_16(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), file('field_16/field_16__t61_field_16', dt_k2_field_16)).
fof(d8_funct_2, axiom, ![X1, X2, X3]:(((v1_funct_1(X3)&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>![X4]:(((v1_funct_1(X4)&v1_funct_2(X4,X1,X2))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>(r2_funct_2(X1,X2,X3,X4)<=>![X5]:(m1_subset_1(X5,X1)=>k1_funct_1(X3,X5)=k1_funct_1(X4,X5))))), file('field_16/field_16__t61_field_16', d8_funct_2)).
fof(dt_k3_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>((v1_funct_1(k3_struct_0(X1))&v1_funct_2(k3_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k3_struct_0(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), file('field_16/field_16__t61_field_16', dt_k3_struct_0)).
fof(dt_l1_algstr_0, axiom, ![X1]:(l1_algstr_0(X1)=>l1_struct_0(X1)), file('field_16/field_16__t61_field_16', dt_l1_algstr_0)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('field_16/field_16__t61_field_16', dt_l2_algstr_0)).
fof(redefinition_k3_funct_2, axiom, ![X1, X2, X3, X4]:(((((~(v1_xboole_0(X1))&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>k3_funct_2(X1,X2,X3,X4)=k1_funct_1(X3,X4)), file('field_16/field_16__t61_field_16', redefinition_k3_funct_2)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('field_16/field_16__t61_field_16', dt_l6_algstr_0)).
fof(t27_field_16, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~(v8_ordinal1(X2)))=>![X3]:((((((((((((~(v2_struct_0(X3))&~(v6_struct_0(X3)))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>k3_ring_3(X3)=X1)))), file('field_16/field_16__t61_field_16', t27_field_16)).
fof(rd1_funct_1, axiom, ![X1, X2]:(m1_subset_1(X2,X1)=>k1_funct_1(k4_relat_1(X1),X2)=X2), file('field_16/field_16__t61_field_16', rd1_funct_1)).
fof(redefinition_k6_partfun1, axiom, ![X1]:k6_partfun1(X1)=k4_relat_1(X1), file('field_16/field_16__t61_field_16', redefinition_k6_partfun1)).
fof(t28_field_16, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~(v8_ordinal1(X2)))=>![X3]:((((((((((((~(v2_struct_0(X3))&~(v6_struct_0(X3)))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>![X4]:(m1_subset_1(X4,u1_struct_0(X3))=>k2_binom(X3,X4,k1_newton(X1,X2))=X4))))), file('field_16/field_16__t61_field_16', t28_field_16)).
fof(d4_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>k3_struct_0(X1)=k6_partfun1(u1_struct_0(X1))), file('field_16/field_16__t61_field_16', d4_struct_0)).
fof(l35_field_16, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_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))&l6_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(v7_ordinal1(X3)=>k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),k2_field_16(X1,k5_field_16(X1),X3),X2)=k2_binom(X1,X2,k1_newton(k3_ring_3(X1),X3))))), file('field_16/field_16__t61_field_16', l35_field_16)).
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('field_16/field_16__t61_field_16', fc2_struct_0)).
fof(c_0_16, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_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))&l6_algstr_0(X1))=>((v1_funct_1(k5_field_16(X1))&v1_funct_2(k5_field_16(X1),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k5_field_16(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k5_field_16])).
fof(c_0_17, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~v8_ordinal1(X2))=>![X3]:((((((((((((~v2_struct_0(X3)&~v6_struct_0(X3))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>r2_funct_2(u1_struct_0(X3),u1_struct_0(X3),k2_field_16(X3,k5_field_16(X3),X2),k3_struct_0(X3))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t61_field_16])])).
fof(c_0_18, plain, ![X1, X2, X3]:((((((~v2_struct_0(X1)&l1_struct_0(X1))&v1_funct_1(X2))&v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))&v7_ordinal1(X3))=>((v1_funct_1(k2_field_16(X1,X2,X3))&v1_funct_2(k2_field_16(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k2_field_16(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k2_field_16])).
fof(c_0_19, plain, ![X56]:(((v1_funct_1(k5_field_16(X56))|(v2_struct_0(X56)|~v13_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)|~l6_algstr_0(X56)))&(v1_funct_2(k5_field_16(X56),u1_struct_0(X56),u1_struct_0(X56))|(v2_struct_0(X56)|~v13_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)|~l6_algstr_0(X56))))&(m1_subset_1(k5_field_16(X56),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X56),u1_struct_0(X56))))|(v2_struct_0(X56)|~v13_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)|~l6_algstr_0(X56)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
fof(c_0_20, negated_conjecture, ((v7_ordinal1(esk1_0)&v1_int_2(esk1_0))&((v7_ordinal1(esk2_0)&~v8_ordinal1(esk2_0))&((((((((((((~v2_struct_0(esk3_0)&~v6_struct_0(esk3_0))&v13_algstr_0(esk3_0))&v33_algstr_0(esk3_0))&v2_rlvect_1(esk3_0))&v3_rlvect_1(esk3_0))&v4_rlvect_1(esk3_0))&v4_vectsp_1(esk3_0))&v5_vectsp_1(esk3_0))&v3_group_1(esk3_0))&v5_group_1(esk3_0))&l6_algstr_0(esk3_0))&(k7_struct_0(esk3_0)=k1_newton(esk1_0,esk2_0)&~r2_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
fof(c_0_21, plain, ![X46, X47, X48, X49, X50]:((~r2_funct_2(X46,X47,X48,X49)|(~m1_subset_1(X50,X46)|k1_funct_1(X48,X50)=k1_funct_1(X49,X50))|(~v1_funct_1(X49)|~v1_funct_2(X49,X46,X47)|~m1_subset_1(X49,k1_zfmisc_1(k2_zfmisc_1(X46,X47))))|(~v1_funct_1(X48)|~v1_funct_2(X48,X46,X47)|~m1_subset_1(X48,k1_zfmisc_1(k2_zfmisc_1(X46,X47)))))&((m1_subset_1(esk4_4(X46,X47,X48,X49),X46)|r2_funct_2(X46,X47,X48,X49)|(~v1_funct_1(X49)|~v1_funct_2(X49,X46,X47)|~m1_subset_1(X49,k1_zfmisc_1(k2_zfmisc_1(X46,X47))))|(~v1_funct_1(X48)|~v1_funct_2(X48,X46,X47)|~m1_subset_1(X48,k1_zfmisc_1(k2_zfmisc_1(X46,X47)))))&(k1_funct_1(X48,esk4_4(X46,X47,X48,X49))!=k1_funct_1(X49,esk4_4(X46,X47,X48,X49))|r2_funct_2(X46,X47,X48,X49)|(~v1_funct_1(X49)|~v1_funct_2(X49,X46,X47)|~m1_subset_1(X49,k1_zfmisc_1(k2_zfmisc_1(X46,X47))))|(~v1_funct_1(X48)|~v1_funct_2(X48,X46,X47)|~m1_subset_1(X48,k1_zfmisc_1(k2_zfmisc_1(X46,X47))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_funct_2])])])])])).
fof(c_0_22, plain, ![X55]:(((v1_funct_1(k3_struct_0(X55))|~l1_struct_0(X55))&(v1_funct_2(k3_struct_0(X55),u1_struct_0(X55),u1_struct_0(X55))|~l1_struct_0(X55)))&(m1_subset_1(k3_struct_0(X55),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X55),u1_struct_0(X55))))|~l1_struct_0(X55))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_struct_0])])])).
fof(c_0_23, plain, ![X52, X53, X54]:(((v1_funct_1(k2_field_16(X52,X53,X54))|(v2_struct_0(X52)|~l1_struct_0(X52)|~v1_funct_1(X53)|~v1_funct_2(X53,u1_struct_0(X52),u1_struct_0(X52))|~m1_subset_1(X53,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X52),u1_struct_0(X52))))|~v7_ordinal1(X54)))&(v1_funct_2(k2_field_16(X52,X53,X54),u1_struct_0(X52),u1_struct_0(X52))|(v2_struct_0(X52)|~l1_struct_0(X52)|~v1_funct_1(X53)|~v1_funct_2(X53,u1_struct_0(X52),u1_struct_0(X52))|~m1_subset_1(X53,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X52),u1_struct_0(X52))))|~v7_ordinal1(X54))))&(m1_subset_1(k2_field_16(X52,X53,X54),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X52),u1_struct_0(X52))))|(v2_struct_0(X52)|~l1_struct_0(X52)|~v1_funct_1(X53)|~v1_funct_2(X53,u1_struct_0(X52),u1_struct_0(X52))|~m1_subset_1(X53,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X52),u1_struct_0(X52))))|~v7_ordinal1(X54)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
cnf(c_0_24, plain, (m1_subset_1(k5_field_16(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|v2_struct_0(X1)|~v13_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)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_25, negated_conjecture, (l6_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_26, negated_conjecture, (v3_group_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_27, negated_conjecture, (v5_vectsp_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_28, negated_conjecture, (v4_vectsp_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_29, negated_conjecture, (v4_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_30, negated_conjecture, (v3_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_31, negated_conjecture, (v2_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_32, negated_conjecture, (v13_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_33, negated_conjecture, (~v2_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_34, plain, (v1_funct_2(k5_field_16(X1),u1_struct_0(X1),u1_struct_0(X1))|v2_struct_0(X1)|~v13_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)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_35, plain, (v1_funct_1(k5_field_16(X1))|v2_struct_0(X1)|~v13_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)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_36, plain, ![X58]:(~l1_algstr_0(X58)|l1_struct_0(X58)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_algstr_0])])).
fof(c_0_37, plain, ![X59]:((l2_struct_0(X59)|~l2_algstr_0(X59))&(l1_algstr_0(X59)|~l2_algstr_0(X59))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
fof(c_0_38, plain, ![X1, X2, X3, X4]:(((((~v1_xboole_0(X1)&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>k3_funct_2(X1,X2,X3,X4)=k1_funct_1(X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k3_funct_2])).
cnf(c_0_39, plain, (m1_subset_1(esk4_4(X1,X2,X3,X4),X1)|r2_funct_2(X1,X2,X3,X4)|~v1_funct_1(X4)|~v1_funct_2(X4,X1,X2)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~v1_funct_1(X3)|~v1_funct_2(X3,X1,X2)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_40, plain, (m1_subset_1(k3_struct_0(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_41, plain, (v1_funct_1(k3_struct_0(X1))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_42, plain, (v1_funct_2(k3_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_43, plain, (m1_subset_1(k2_field_16(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|v2_struct_0(X1)|~l1_struct_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_44, negated_conjecture, (m1_subset_1(k5_field_16(esk3_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk3_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(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33])).
cnf(c_0_45, negated_conjecture, (v1_funct_2(k5_field_16(esk3_0),u1_struct_0(esk3_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(spm,[status(thm)],[c_0_34, c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33])).
cnf(c_0_46, negated_conjecture, (v1_funct_1(k5_field_16(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(spm,[status(thm)],[c_0_35, c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33])).
cnf(c_0_47, plain, (v1_funct_1(k2_field_16(X1,X2,X3))|v2_struct_0(X1)|~l1_struct_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_48, plain, (v1_funct_2(k2_field_16(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X1))|v2_struct_0(X1)|~l1_struct_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_49, plain, (l1_struct_0(X1)|~l1_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_50, plain, (l1_algstr_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
fof(c_0_51, plain, ![X60]:((l2_algstr_0(X60)|~l6_algstr_0(X60))&(l5_algstr_0(X60)|~l6_algstr_0(X60))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_52, plain, ![X67, X68, X69, X70]:(v1_xboole_0(X67)|~v1_funct_1(X69)|~v1_funct_2(X69,X67,X68)|~m1_subset_1(X69,k1_zfmisc_1(k2_zfmisc_1(X67,X68)))|~m1_subset_1(X70,X67)|k3_funct_2(X67,X68,X69,X70)=k1_funct_1(X69,X70)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])).
cnf(c_0_53, plain, (m1_subset_1(esk4_4(u1_struct_0(X1),u1_struct_0(X1),X2,k3_struct_0(X1)),u1_struct_0(X1))|r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),X2,k3_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~v1_funct_1(X2)|~l1_struct_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41]), c_0_42])).
cnf(c_0_54, negated_conjecture, (m1_subset_1(k2_field_16(esk3_0,k5_field_16(esk3_0),X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk3_0),u1_struct_0(esk3_0))))|~l1_struct_0(esk3_0)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45]), c_0_46])]), c_0_33])).
cnf(c_0_55, negated_conjecture, (v1_funct_1(k2_field_16(esk3_0,k5_field_16(esk3_0),X1))|~l1_struct_0(esk3_0)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_44]), c_0_45]), c_0_46])]), c_0_33])).
cnf(c_0_56, negated_conjecture, (v1_funct_2(k2_field_16(esk3_0,k5_field_16(esk3_0),X1),u1_struct_0(esk3_0),u1_struct_0(esk3_0))|~l1_struct_0(esk3_0)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_44]), c_0_45]), c_0_46])]), c_0_33])).
cnf(c_0_57, plain, (l1_struct_0(X1)|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_58, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_51])).
fof(c_0_59, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~v8_ordinal1(X2))=>![X3]:((((((((((((~v2_struct_0(X3)&~v6_struct_0(X3))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>k3_ring_3(X3)=X1)))), inference(fof_simplification,[status(thm)],[t27_field_16])).
fof(c_0_60, plain, ![X65, X66]:(~m1_subset_1(X66,X65)|k1_funct_1(k4_relat_1(X65),X66)=X66), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd1_funct_1])])).
fof(c_0_61, plain, ![X71]:k6_partfun1(X71)=k4_relat_1(X71), inference(variable_rename,[status(thm)],[redefinition_k6_partfun1])).
cnf(c_0_62, plain, (v1_xboole_0(X1)|k3_funct_2(X1,X3,X2,X4)=k1_funct_1(X2,X4)|~v1_funct_1(X2)|~v1_funct_2(X2,X1,X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))|~m1_subset_1(X4,X1)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_63, negated_conjecture, (m1_subset_1(esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),X1),k3_struct_0(esk3_0)),u1_struct_0(esk3_0))|r2_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),X1),k3_struct_0(esk3_0))|~l1_struct_0(esk3_0)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55]), c_0_56])).
cnf(c_0_64, plain, (l1_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_57, c_0_58])).
fof(c_0_65, plain, ![X72, X73, X74]:(~v7_ordinal1(X72)|~v1_int_2(X72)|(~v7_ordinal1(X73)|v8_ordinal1(X73)|(v2_struct_0(X74)|v6_struct_0(X74)|~v13_algstr_0(X74)|~v33_algstr_0(X74)|~v2_rlvect_1(X74)|~v3_rlvect_1(X74)|~v4_rlvect_1(X74)|~v4_vectsp_1(X74)|~v5_vectsp_1(X74)|~v3_group_1(X74)|~v5_group_1(X74)|~l6_algstr_0(X74)|(k7_struct_0(X74)!=k1_newton(X72,X73)|k3_ring_3(X74)=X72)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])).
fof(c_0_66, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~v8_ordinal1(X2))=>![X3]:((((((((((((~v2_struct_0(X3)&~v6_struct_0(X3))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>![X4]:(m1_subset_1(X4,u1_struct_0(X3))=>k2_binom(X3,X4,k1_newton(X1,X2))=X4))))), inference(fof_simplification,[status(thm)],[t28_field_16])).
cnf(c_0_67, plain, (k1_funct_1(k4_relat_1(X2),X1)=X1|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_68, plain, (k6_partfun1(X1)=k4_relat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_61])).
fof(c_0_69, plain, ![X45]:(~l1_struct_0(X45)|k3_struct_0(X45)=k6_partfun1(u1_struct_0(X45))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_struct_0])])).
cnf(c_0_70, negated_conjecture, (k3_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),X1),X2)=k1_funct_1(k2_field_16(esk3_0,k5_field_16(esk3_0),X1),X2)|v1_xboole_0(u1_struct_0(esk3_0))|~m1_subset_1(X2,u1_struct_0(esk3_0))|~l1_struct_0(esk3_0)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_54]), c_0_55]), c_0_56])).
cnf(c_0_71, negated_conjecture, (m1_subset_1(esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),X1),k3_struct_0(esk3_0)),u1_struct_0(esk3_0))|r2_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),X1),k3_struct_0(esk3_0))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_25])])).
cnf(c_0_72, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_73, negated_conjecture, (~r2_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0))), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_74, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_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))&l6_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(v7_ordinal1(X3)=>k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),k2_field_16(X1,k5_field_16(X1),X3),X2)=k2_binom(X1,X2,k1_newton(k3_ring_3(X1),X3))))), inference(fof_simplification,[status(thm)],[l35_field_16])).
cnf(c_0_75, plain, (v8_ordinal1(X2)|v2_struct_0(X3)|v6_struct_0(X3)|k3_ring_3(X3)=X1|~v7_ordinal1(X1)|~v1_int_2(X1)|~v7_ordinal1(X2)|~v13_algstr_0(X3)|~v33_algstr_0(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v4_vectsp_1(X3)|~v5_vectsp_1(X3)|~v3_group_1(X3)|~v5_group_1(X3)|~l6_algstr_0(X3)|k7_struct_0(X3)!=k1_newton(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_76, negated_conjecture, (k7_struct_0(esk3_0)=k1_newton(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_77, negated_conjecture, (v5_group_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_78, negated_conjecture, (v33_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_79, negated_conjecture, (~v6_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_80, plain, ![X75, X76, X77, X78]:(~v7_ordinal1(X75)|~v1_int_2(X75)|(~v7_ordinal1(X76)|v8_ordinal1(X76)|(v2_struct_0(X77)|v6_struct_0(X77)|~v13_algstr_0(X77)|~v33_algstr_0(X77)|~v2_rlvect_1(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~v4_vectsp_1(X77)|~v5_vectsp_1(X77)|~v3_group_1(X77)|~v5_group_1(X77)|~l6_algstr_0(X77)|(k7_struct_0(X77)!=k1_newton(X75,X76)|(~m1_subset_1(X78,u1_struct_0(X77))|k2_binom(X77,X78,k1_newton(X75,X76))=X78))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])).
cnf(c_0_81, plain, (k1_funct_1(k6_partfun1(X2),X1)=X1|~m1_subset_1(X1,X2)), inference(rw,[status(thm)],[c_0_67, c_0_68])).
cnf(c_0_82, plain, (k3_struct_0(X1)=k6_partfun1(u1_struct_0(X1))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_83, negated_conjecture, (k3_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),X1),X2)=k1_funct_1(k2_field_16(esk3_0,k5_field_16(esk3_0),X1),X2)|v1_xboole_0(u1_struct_0(esk3_0))|~m1_subset_1(X2,u1_struct_0(esk3_0))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_64]), c_0_25])])).
cnf(c_0_84, negated_conjecture, (m1_subset_1(esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0)),u1_struct_0(esk3_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_73])).
fof(c_0_85, plain, ![X62, X63, X64]:(v2_struct_0(X62)|~v13_algstr_0(X62)|~v2_rlvect_1(X62)|~v3_rlvect_1(X62)|~v4_rlvect_1(X62)|~v4_vectsp_1(X62)|~v5_vectsp_1(X62)|~v3_group_1(X62)|~l6_algstr_0(X62)|(~m1_subset_1(X63,u1_struct_0(X62))|(~v7_ordinal1(X64)|k3_funct_2(u1_struct_0(X62),u1_struct_0(X62),k2_field_16(X62,k5_field_16(X62),X64),X63)=k2_binom(X62,X63,k1_newton(k3_ring_3(X62),X64))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])])).
cnf(c_0_86, negated_conjecture, (k3_ring_3(esk3_0)=X1|v8_ordinal1(X2)|k1_newton(esk1_0,esk2_0)!=k1_newton(X1,X2)|~v1_int_2(X1)|~v7_ordinal1(X2)|~v7_ordinal1(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_75, c_0_76]), c_0_25]), c_0_77]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_78]), c_0_32])]), c_0_79]), c_0_33])).
cnf(c_0_87, negated_conjecture, (v1_int_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_88, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_89, negated_conjecture, (~v8_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_90, plain, (v8_ordinal1(X2)|v2_struct_0(X3)|v6_struct_0(X3)|k2_binom(X3,X4,k1_newton(X1,X2))=X4|~v7_ordinal1(X1)|~v1_int_2(X1)|~v7_ordinal1(X2)|~v13_algstr_0(X3)|~v33_algstr_0(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v4_vectsp_1(X3)|~v5_vectsp_1(X3)|~v3_group_1(X3)|~v5_group_1(X3)|~l6_algstr_0(X3)|k7_struct_0(X3)!=k1_newton(X1,X2)|~m1_subset_1(X4,u1_struct_0(X3))), inference(split_conjunct,[status(thm)],[c_0_80])).
cnf(c_0_91, plain, (r2_funct_2(X2,X3,X1,X4)|k1_funct_1(X1,esk4_4(X2,X3,X1,X4))!=k1_funct_1(X4,esk4_4(X2,X3,X1,X4))|~v1_funct_1(X4)|~v1_funct_2(X4,X2,X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))|~v1_funct_1(X1)|~v1_funct_2(X1,X2,X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_92, plain, (k1_funct_1(k3_struct_0(X1),X2)=X2|~m1_subset_1(X2,u1_struct_0(X1))|~l1_struct_0(X1)), inference(spm,[status(thm)],[c_0_81, c_0_82])).
cnf(c_0_93, negated_conjecture, (k3_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),X1),esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0)))=k1_funct_1(k2_field_16(esk3_0,k5_field_16(esk3_0),X1),esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0)))|v1_xboole_0(u1_struct_0(esk3_0))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_83, c_0_84])).
cnf(c_0_94, plain, (v2_struct_0(X1)|k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),k2_field_16(X1,k5_field_16(X1),X3),X2)=k2_binom(X1,X2,k1_newton(k3_ring_3(X1),X3))|~v13_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)|~l6_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_85])).
cnf(c_0_95, negated_conjecture, (k3_ring_3(esk3_0)=esk1_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_86]), c_0_87]), c_0_72]), c_0_88])]), c_0_89])).
cnf(c_0_96, negated_conjecture, (k2_binom(esk3_0,esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0)),k1_newton(X1,X2))=esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0))|v8_ordinal1(X2)|k1_newton(esk1_0,esk2_0)!=k1_newton(X1,X2)|~v1_int_2(X1)|~v7_ordinal1(X2)|~v7_ordinal1(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(spm,[status(thm)],[c_0_90, c_0_84]), c_0_76]), c_0_25]), c_0_77]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_78]), c_0_32])]), c_0_79]), c_0_33])).
cnf(c_0_97, plain, (r2_funct_2(X1,X2,X3,k3_struct_0(X4))|k1_funct_1(X3,esk4_4(X1,X2,X3,k3_struct_0(X4)))!=esk4_4(X1,X2,X3,k3_struct_0(X4))|~m1_subset_1(esk4_4(X1,X2,X3,k3_struct_0(X4)),u1_struct_0(X4))|~m1_subset_1(k3_struct_0(X4),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~v1_funct_2(k3_struct_0(X4),X1,X2)|~v1_funct_2(X3,X1,X2)|~v1_funct_1(X3)|~l1_struct_0(X4)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_41])).
cnf(c_0_98, negated_conjecture, (k3_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0)))=k1_funct_1(k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0)))|v1_xboole_0(u1_struct_0(esk3_0))), inference(spm,[status(thm)],[c_0_93, c_0_72])).
cnf(c_0_99, negated_conjecture, (k3_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),X1),esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0)))=k2_binom(esk3_0,esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0)),k1_newton(esk1_0,X1))|~v7_ordinal1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_84]), c_0_95]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33])).
cnf(c_0_100, negated_conjecture, (k2_binom(esk3_0,esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0)),k1_newton(esk1_0,esk2_0))=esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_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(er,[status(thm)],[c_0_96]), c_0_87]), c_0_72]), c_0_88])]), c_0_89])).
cnf(c_0_101, negated_conjecture, (k1_funct_1(k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0)))!=esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0))|~m1_subset_1(k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk3_0),u1_struct_0(esk3_0))))|~v1_funct_2(k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),u1_struct_0(esk3_0),u1_struct_0(esk3_0))|~v1_funct_1(k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0))|~l1_struct_0(esk3_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_84]), c_0_73]), c_0_42]), c_0_40])).
cnf(c_0_102, negated_conjecture, (k1_funct_1(k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0)))=esk4_4(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k3_struct_0(esk3_0))|v1_xboole_0(u1_struct_0(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_99]), c_0_100]), c_0_72])])).
cnf(c_0_103, negated_conjecture, (v1_xboole_0(u1_struct_0(esk3_0))|~m1_subset_1(k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk3_0),u1_struct_0(esk3_0))))|~v1_funct_2(k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),u1_struct_0(esk3_0),u1_struct_0(esk3_0))|~v1_funct_1(k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0))|~l1_struct_0(esk3_0)), inference(spm,[status(thm)],[c_0_101, c_0_102])).
fof(c_0_104, 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_105, negated_conjecture, (v1_xboole_0(u1_struct_0(esk3_0))|~v1_funct_2(k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0),u1_struct_0(esk3_0),u1_struct_0(esk3_0))|~v1_funct_1(k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0))|~l1_struct_0(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_54]), c_0_72])])).
fof(c_0_106, plain, ![X61]:(v2_struct_0(X61)|~l1_struct_0(X61)|~v1_xboole_0(u1_struct_0(X61))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])])).
cnf(c_0_107, negated_conjecture, (v1_xboole_0(u1_struct_0(esk3_0))|~v1_funct_1(k2_field_16(esk3_0,k5_field_16(esk3_0),esk2_0))|~l1_struct_0(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_56]), c_0_72])])).
cnf(c_0_108, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_106])).
cnf(c_0_109, negated_conjecture, (v1_xboole_0(u1_struct_0(esk3_0))|~l1_struct_0(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_55]), c_0_72])])).
cnf(c_0_110, negated_conjecture, (~l1_struct_0(esk3_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_109]), c_0_33])).
cnf(c_0_111, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_64]), c_0_25])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 112
# Proof object clause steps            : 72
# Proof object formula steps           : 40
# Proof object conjectures             : 47
# Proof object clause conjectures      : 44
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 40
# Proof object initial formulas used   : 16
# Proof object generating inferences   : 31
# Proof object simplifying inferences  : 115
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 17
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 45
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 44
# Processed clauses                    : 371
# ...of these trivial                  : 0
# ...subsumed                          : 12
# ...remaining for further processing  : 359
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 52
# Backward-rewritten                   : 1
# Generated clauses                    : 585
# ...of the previous two non-trivial   : 584
# Contextual simplify-reflections      : 114
# Paramodulations                      : 577
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 8
# 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  : 262
#    Positive orientable unit clauses  : 22
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 235
# Current number of unprocessed clauses: 301
# ...number of literals in the above   : 1525
# Current number of archived formulas  : 0
# Current number of archived clauses   : 98
# Clause-clause subsumption calls (NU) : 21301
# Rec. Clause-clause subsumption calls : 5729
# Non-unit clause-clause subsumptions  : 178
# Unit Clause-clause subsumption calls : 144
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 35
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 43444

# -------------------------------------------------
# User time                : 0.066 s
# System time              : 0.004 s
# Total time               : 0.070 s
# Maximum resident set size: 3356 pages
