# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
# and selection function SelectCQIPrecWNTNp.
#
# Preprocessing time       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t34_field_16, conjecture, ![X1]:(((((((((((~(v2_struct_0(X1))&~(v6_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))&v1_group_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:((~(v1_zfmisc_1(X2))&v7_ordinal1(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(r1_polynom5(X1,k7_field_16(X1,X2),X3)<=>k2_binom(X1,X3,X2)=X3)))), file('field_16/field_16__t34_field_16', t34_field_16)).
fof(redefinition_k7_field_16, axiom, ![X1, X2]:((((((((((((~(v2_struct_0(X1))&~(v6_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_zfmisc_1(X2)))&v7_ordinal1(X2))=>k7_field_16(X1,X2)=k6_field_16(X1,X2)), file('field_16/field_16__t34_field_16', redefinition_k7_field_16)).
fof(t33_field_16, axiom, ![X1]:((((((((((~(v2_struct_0(X1))&~(v6_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]:((~(v1_zfmisc_1(X2))&v7_ordinal1(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k2_polynom4(X1,k7_field_16(X1,X2),X3)=k5_algstr_0(X1,k2_binom(X1,X3,X2),X3)))), file('field_16/field_16__t34_field_16', t33_field_16)).
fof(d7_polynom5, axiom, ![X1]:(((~(v2_struct_0(X1))&v1_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(r1_polynom5(X1,X2,X3)<=>k2_polynom4(X1,X2,X3)=k4_struct_0(X1))))), file('field_16/field_16__t34_field_16', d7_polynom5)).
fof(fc19_field_16, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&v1_group_1(X1))&l6_algstr_0(X1))&~(v1_zfmisc_1(X2)))&v7_ordinal1(X2))=>((v1_funct_1(k6_field_16(X1,X2))&v1_funct_2(k6_field_16(X1,X2),k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(k6_field_16(X1,X2),X1))), file('field_16/field_16__t34_field_16', fc19_field_16)).
fof(dt_k6_field_16, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&v1_group_1(X1))&l6_algstr_0(X1))&~(v1_zfmisc_1(X2)))&v7_ordinal1(X2))=>((v1_funct_1(k6_field_16(X1,X2))&v1_funct_2(k6_field_16(X1,X2),k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(k6_field_16(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), file('field_16/field_16__t34_field_16', dt_k6_field_16)).
fof(dt_k2_binom, axiom, ![X1, X2, X3]:(((((~(v2_struct_0(X1))&v1_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&v7_ordinal1(X3))=>m1_subset_1(k2_binom(X1,X2,X3),u1_struct_0(X1))), file('field_16/field_16__t34_field_16', dt_k2_binom)).
fof(t21_rlvect_1, axiom, ![X1]:(((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l2_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(k5_algstr_0(X1,X2,X3)=k4_struct_0(X1)=>X2=X3)))), file('field_16/field_16__t34_field_16', t21_rlvect_1)).
fof(dt_l4_algstr_0, axiom, ![X1]:(l4_algstr_0(X1)=>(l3_struct_0(X1)&l3_algstr_0(X1))), file('field_16/field_16__t34_field_16', dt_l4_algstr_0)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('field_16/field_16__t34_field_16', dt_l5_algstr_0)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('field_16/field_16__t34_field_16', dt_l6_algstr_0)).
fof(t15_rlvect_1, axiom, ![X1]:(((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l2_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k5_algstr_0(X1,X2,X2)=k4_struct_0(X1))), file('field_16/field_16__t34_field_16', t15_rlvect_1)).
fof(c_0_12, negated_conjecture, ~(![X1]:(((((((((((~v2_struct_0(X1)&~v6_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))&v1_group_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:((~v1_zfmisc_1(X2)&v7_ordinal1(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(r1_polynom5(X1,k7_field_16(X1,X2),X3)<=>k2_binom(X1,X3,X2)=X3))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t34_field_16])])).
fof(c_0_13, plain, ![X1, X2]:((((((((((((~v2_struct_0(X1)&~v6_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_zfmisc_1(X2))&v7_ordinal1(X2))=>k7_field_16(X1,X2)=k6_field_16(X1,X2)), inference(fof_simplification,[status(thm)],[redefinition_k7_field_16])).
fof(c_0_14, plain, ![X1]:((((((((((~v2_struct_0(X1)&~v6_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]:((~v1_zfmisc_1(X2)&v7_ordinal1(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k2_polynom4(X1,k7_field_16(X1,X2),X3)=k5_algstr_0(X1,k2_binom(X1,X3,X2),X3)))), inference(fof_simplification,[status(thm)],[t33_field_16])).
fof(c_0_15, plain, ![X1]:(((~v2_struct_0(X1)&v1_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(r1_polynom5(X1,X2,X3)<=>k2_polynom4(X1,X2,X3)=k4_struct_0(X1))))), inference(fof_simplification,[status(thm)],[d7_polynom5])).
fof(c_0_16, plain, ![X1, X2]:(((((~v2_struct_0(X1)&v1_group_1(X1))&l6_algstr_0(X1))&~v1_zfmisc_1(X2))&v7_ordinal1(X2))=>((v1_funct_1(k6_field_16(X1,X2))&v1_funct_2(k6_field_16(X1,X2),k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(k6_field_16(X1,X2),X1))), inference(fof_simplification,[status(thm)],[fc19_field_16])).
fof(c_0_17, plain, ![X1, X2]:(((((~v2_struct_0(X1)&v1_group_1(X1))&l6_algstr_0(X1))&~v1_zfmisc_1(X2))&v7_ordinal1(X2))=>((v1_funct_1(k6_field_16(X1,X2))&v1_funct_2(k6_field_16(X1,X2),k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(k6_field_16(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k6_field_16])).
fof(c_0_18, negated_conjecture, (((((((((((~v2_struct_0(esk1_0)&~v6_struct_0(esk1_0))&v13_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))&v1_group_1(esk1_0))&v3_group_1(esk1_0))&l6_algstr_0(esk1_0))&((~v1_zfmisc_1(esk2_0)&v7_ordinal1(esk2_0))&(m1_subset_1(esk3_0,u1_struct_0(esk1_0))&((~r1_polynom5(esk1_0,k7_field_16(esk1_0,esk2_0),esk3_0)|k2_binom(esk1_0,esk3_0,esk2_0)!=esk3_0)&(r1_polynom5(esk1_0,k7_field_16(esk1_0,esk2_0),esk3_0)|k2_binom(esk1_0,esk3_0,esk2_0)=esk3_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])).
fof(c_0_19, plain, ![X46, X47]:(v2_struct_0(X46)|v6_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v4_vectsp_1(X46)|~v5_vectsp_1(X46)|~v3_group_1(X46)|~l6_algstr_0(X46)|v1_zfmisc_1(X47)|~v7_ordinal1(X47)|k7_field_16(X46,X47)=k6_field_16(X46,X47)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])).
fof(c_0_20, plain, ![X53, X54, X55]:(v2_struct_0(X53)|v6_struct_0(X53)|~v13_algstr_0(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v4_vectsp_1(X53)|~v5_vectsp_1(X53)|~v3_group_1(X53)|~l6_algstr_0(X53)|(v1_zfmisc_1(X54)|~v7_ordinal1(X54)|(~m1_subset_1(X55,u1_struct_0(X53))|k2_polynom4(X53,k7_field_16(X53,X54),X55)=k5_algstr_0(X53,k2_binom(X53,X55,X54),X55)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
fof(c_0_21, plain, ![X33, X34, X35]:((~r1_polynom5(X33,X34,X35)|k2_polynom4(X33,X34,X35)=k4_struct_0(X33)|~m1_subset_1(X35,u1_struct_0(X33))|(~v1_funct_1(X34)|~v1_funct_2(X34,k4_ordinal1,u1_struct_0(X33))|~v1_polynom1(X34,X33)|~m1_subset_1(X34,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X33)))))|(v2_struct_0(X33)|~v1_group_1(X33)|~l6_algstr_0(X33)))&(k2_polynom4(X33,X34,X35)!=k4_struct_0(X33)|r1_polynom5(X33,X34,X35)|~m1_subset_1(X35,u1_struct_0(X33))|(~v1_funct_1(X34)|~v1_funct_2(X34,k4_ordinal1,u1_struct_0(X33))|~v1_polynom1(X34,X33)|~m1_subset_1(X34,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X33)))))|(v2_struct_0(X33)|~v1_group_1(X33)|~l6_algstr_0(X33)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])).
fof(c_0_22, plain, ![X44, X45]:(((v1_funct_1(k6_field_16(X44,X45))|(v2_struct_0(X44)|~v1_group_1(X44)|~l6_algstr_0(X44)|v1_zfmisc_1(X45)|~v7_ordinal1(X45)))&(v1_funct_2(k6_field_16(X44,X45),k4_ordinal1,u1_struct_0(X44))|(v2_struct_0(X44)|~v1_group_1(X44)|~l6_algstr_0(X44)|v1_zfmisc_1(X45)|~v7_ordinal1(X45))))&(v1_polynom1(k6_field_16(X44,X45),X44)|(v2_struct_0(X44)|~v1_group_1(X44)|~l6_algstr_0(X44)|v1_zfmisc_1(X45)|~v7_ordinal1(X45)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
fof(c_0_23, plain, ![X39, X40]:(((v1_funct_1(k6_field_16(X39,X40))|(v2_struct_0(X39)|~v1_group_1(X39)|~l6_algstr_0(X39)|v1_zfmisc_1(X40)|~v7_ordinal1(X40)))&(v1_funct_2(k6_field_16(X39,X40),k4_ordinal1,u1_struct_0(X39))|(v2_struct_0(X39)|~v1_group_1(X39)|~l6_algstr_0(X39)|v1_zfmisc_1(X40)|~v7_ordinal1(X40))))&(m1_subset_1(k6_field_16(X39,X40),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X39))))|(v2_struct_0(X39)|~v1_group_1(X39)|~l6_algstr_0(X39)|v1_zfmisc_1(X40)|~v7_ordinal1(X40)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
cnf(c_0_24, negated_conjecture, (~v6_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v1_zfmisc_1(X2)|k7_field_16(X1,X2)=k6_field_16(X1,X2)|~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)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_26, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_27, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_28, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_29, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_30, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_31, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_32, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_33, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_34, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_35, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v1_zfmisc_1(X2)|k2_polynom4(X1,k7_field_16(X1,X2),X3)=k5_algstr_0(X1,k2_binom(X1,X3,X2),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)|~v7_ordinal1(X2)|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_36, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_37, plain, (k2_polynom4(X1,X2,X3)=k4_struct_0(X1)|v2_struct_0(X1)|~r1_polynom5(X1,X2,X3)|~m1_subset_1(X3,u1_struct_0(X1))|~v1_funct_1(X2)|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1))|~v1_polynom1(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~v1_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_38, plain, (v1_polynom1(k6_field_16(X1,X2),X1)|v2_struct_0(X1)|v1_zfmisc_1(X2)|~v1_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_39, plain, (m1_subset_1(k6_field_16(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|v2_struct_0(X1)|v1_zfmisc_1(X2)|~v1_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_40, plain, (v1_funct_1(k6_field_16(X1,X2))|v2_struct_0(X1)|v1_zfmisc_1(X2)|~v1_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_41, plain, (v1_funct_2(k6_field_16(X1,X2),k4_ordinal1,u1_struct_0(X1))|v2_struct_0(X1)|v1_zfmisc_1(X2)|~v1_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_42, negated_conjecture, (r1_polynom5(esk1_0,k7_field_16(esk1_0,esk2_0),esk3_0)|k2_binom(esk1_0,esk3_0,esk2_0)=esk3_0), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_43, negated_conjecture, (k7_field_16(esk1_0,X1)=k6_field_16(esk1_0,X1)|v1_zfmisc_1(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(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])]), c_0_34])).
cnf(c_0_44, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_45, negated_conjecture, (~v1_zfmisc_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_46, plain, ![X1, X2, X3]:(((((~v2_struct_0(X1)&v1_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&v7_ordinal1(X3))=>m1_subset_1(k2_binom(X1,X2,X3),u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[dt_k2_binom])).
fof(c_0_47, plain, ![X1]:(((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l2_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(k5_algstr_0(X1,X2,X3)=k4_struct_0(X1)=>X2=X3)))), inference(fof_simplification,[status(thm)],[t21_rlvect_1])).
cnf(c_0_48, negated_conjecture, (k2_polynom4(esk1_0,k7_field_16(esk1_0,X1),esk3_0)=k5_algstr_0(esk1_0,k2_binom(esk1_0,esk3_0,X1),esk3_0)|v1_zfmisc_1(X1)|~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(spm,[status(thm)],[c_0_35, c_0_36]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33])]), c_0_24]), c_0_34])).
cnf(c_0_49, plain, (k2_polynom4(X1,k6_field_16(X1,X2),X3)=k4_struct_0(X1)|v1_zfmisc_1(X2)|v2_struct_0(X1)|~r1_polynom5(X1,k6_field_16(X1,X2),X3)|~m1_subset_1(X3,u1_struct_0(X1))|~v7_ordinal1(X2)|~l6_algstr_0(X1)|~v1_group_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39]), c_0_40]), c_0_41])).
cnf(c_0_50, negated_conjecture, (k2_binom(esk1_0,esk3_0,esk2_0)=esk3_0|r1_polynom5(esk1_0,k6_field_16(esk1_0,esk2_0),esk3_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])]), c_0_45])).
cnf(c_0_51, negated_conjecture, (v1_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_52, plain, ![X36, X37, X38]:(v2_struct_0(X36)|~v1_group_1(X36)|~l3_algstr_0(X36)|~m1_subset_1(X37,u1_struct_0(X36))|~v7_ordinal1(X38)|m1_subset_1(k2_binom(X36,X37,X38),u1_struct_0(X36))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])).
fof(c_0_53, plain, ![X50, X51, X52]:(v2_struct_0(X50)|~v13_algstr_0(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~l2_algstr_0(X50)|(~m1_subset_1(X51,u1_struct_0(X50))|(~m1_subset_1(X52,u1_struct_0(X50))|(k5_algstr_0(X50,X51,X52)!=k4_struct_0(X50)|X51=X52)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])).
cnf(c_0_54, negated_conjecture, (k2_polynom4(esk1_0,k6_field_16(esk1_0,X1),esk3_0)=k5_algstr_0(esk1_0,k2_binom(esk1_0,esk3_0,X1),esk3_0)|v1_zfmisc_1(X1)|~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(spm,[status(thm)],[c_0_48, 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])]), c_0_24]), c_0_34])).
cnf(c_0_55, negated_conjecture, (k2_polynom4(esk1_0,k6_field_16(esk1_0,esk2_0),esk3_0)=k4_struct_0(esk1_0)|k2_binom(esk1_0,esk3_0,esk2_0)=esk3_0), 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(spm,[status(thm)],[c_0_49, c_0_50]), c_0_36]), c_0_44]), c_0_26]), c_0_51])]), c_0_45]), c_0_34])).
cnf(c_0_56, plain, (v2_struct_0(X1)|m1_subset_1(k2_binom(X1,X2,X3),u1_struct_0(X1))|~v1_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_52])).
fof(c_0_57, plain, ![X41]:((l3_struct_0(X41)|~l4_algstr_0(X41))&(l3_algstr_0(X41)|~l4_algstr_0(X41))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_algstr_0])])])).
fof(c_0_58, plain, ![X42]:((l4_algstr_0(X42)|~l5_algstr_0(X42))&(l4_struct_0(X42)|~l5_algstr_0(X42))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
fof(c_0_59, plain, ![X43]:((l2_algstr_0(X43)|~l6_algstr_0(X43))&(l5_algstr_0(X43)|~l6_algstr_0(X43))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_60, plain, ![X1]:(((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l2_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k5_algstr_0(X1,X2,X2)=k4_struct_0(X1))), inference(fof_simplification,[status(thm)],[t15_rlvect_1])).
cnf(c_0_61, plain, (v2_struct_0(X1)|X2=X3|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~l2_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|k5_algstr_0(X1,X2,X3)!=k4_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_62, negated_conjecture, (k5_algstr_0(esk1_0,k2_binom(esk1_0,esk3_0,esk2_0),esk3_0)=k4_struct_0(esk1_0)|k2_binom(esk1_0,esk3_0,esk2_0)=esk3_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_44])]), c_0_45])).
cnf(c_0_63, negated_conjecture, (m1_subset_1(k2_binom(esk1_0,esk3_0,X1),u1_struct_0(esk1_0))|~l3_algstr_0(esk1_0)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_36]), c_0_51])]), c_0_34])).
cnf(c_0_64, plain, (l3_algstr_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_65, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_66, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
fof(c_0_67, plain, ![X48, X49]:(v2_struct_0(X48)|~v13_algstr_0(X48)|~v3_rlvect_1(X48)|~v4_rlvect_1(X48)|~l2_algstr_0(X48)|(~m1_subset_1(X49,u1_struct_0(X48))|k5_algstr_0(X48,X49,X49)=k4_struct_0(X48))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])).
cnf(c_0_68, negated_conjecture, (k2_binom(esk1_0,esk3_0,esk2_0)=esk3_0|~l2_algstr_0(esk1_0)|~m1_subset_1(k2_binom(esk1_0,esk3_0,esk2_0),u1_struct_0(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(spm,[status(thm)],[c_0_61, c_0_62]), c_0_36]), c_0_30]), c_0_31]), c_0_33])]), c_0_34])).
cnf(c_0_69, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_70, negated_conjecture, (m1_subset_1(k2_binom(esk1_0,esk3_0,X1),u1_struct_0(esk1_0))|~l4_algstr_0(esk1_0)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_63, c_0_64])).
cnf(c_0_71, plain, (l4_algstr_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_65, c_0_66])).
cnf(c_0_72, plain, (v2_struct_0(X1)|k5_algstr_0(X1,X2,X2)=k4_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~l2_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_73, negated_conjecture, (k2_binom(esk1_0,esk3_0,esk2_0)=esk3_0|~m1_subset_1(k2_binom(esk1_0,esk3_0,esk2_0),u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_26])])).
cnf(c_0_74, negated_conjecture, (m1_subset_1(k2_binom(esk1_0,esk3_0,X1),u1_struct_0(esk1_0))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_26])])).
cnf(c_0_75, plain, (r1_polynom5(X1,X2,X3)|v2_struct_0(X1)|k2_polynom4(X1,X2,X3)!=k4_struct_0(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~v1_funct_1(X2)|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1))|~v1_polynom1(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~v1_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_76, negated_conjecture, (k5_algstr_0(esk1_0,esk3_0,esk3_0)=k4_struct_0(esk1_0)|~l2_algstr_0(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_36]), c_0_30]), c_0_31]), c_0_33])]), c_0_34])).
cnf(c_0_77, negated_conjecture, (~r1_polynom5(esk1_0,k7_field_16(esk1_0,esk2_0),esk3_0)|k2_binom(esk1_0,esk3_0,esk2_0)!=esk3_0), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_78, negated_conjecture, (k2_binom(esk1_0,esk3_0,esk2_0)=esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_44])])).
cnf(c_0_79, negated_conjecture, (r1_polynom5(esk1_0,k7_field_16(esk1_0,X1),esk3_0)|v1_zfmisc_1(X1)|k5_algstr_0(esk1_0,k2_binom(esk1_0,esk3_0,X1),esk3_0)!=k4_struct_0(esk1_0)|~v1_polynom1(k7_field_16(esk1_0,X1),esk1_0)|~v1_funct_2(k7_field_16(esk1_0,X1),k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(k7_field_16(esk1_0,X1))|~m1_subset_1(k7_field_16(esk1_0,X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_48]), c_0_36]), c_0_26]), c_0_51])]), c_0_34])).
cnf(c_0_80, negated_conjecture, (k5_algstr_0(esk1_0,esk3_0,esk3_0)=k4_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_69]), c_0_26])])).
cnf(c_0_81, negated_conjecture, (~r1_polynom5(esk1_0,k7_field_16(esk1_0,esk2_0),esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_78])])).
cnf(c_0_82, negated_conjecture, (~v1_polynom1(k7_field_16(esk1_0,esk2_0),esk1_0)|~v1_funct_2(k7_field_16(esk1_0,esk2_0),k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(k7_field_16(esk1_0,esk2_0))|~m1_subset_1(k7_field_16(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_78]), c_0_80]), c_0_44])]), c_0_45]), c_0_81])).
cnf(c_0_83, negated_conjecture, (~v1_polynom1(k6_field_16(esk1_0,esk2_0),esk1_0)|~v1_funct_2(k6_field_16(esk1_0,esk2_0),k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(k6_field_16(esk1_0,esk2_0))|~m1_subset_1(k6_field_16(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_43]), c_0_44])]), c_0_45])).
cnf(c_0_84, negated_conjecture, (~v1_funct_2(k6_field_16(esk1_0,esk2_0),k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(k6_field_16(esk1_0,esk2_0))|~m1_subset_1(k6_field_16(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))), 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(spm,[status(thm)],[c_0_83, c_0_38]), c_0_44]), c_0_26]), c_0_51])]), c_0_45]), c_0_34])).
cnf(c_0_85, negated_conjecture, (~v1_funct_1(k6_field_16(esk1_0,esk2_0))|~m1_subset_1(k6_field_16(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))), 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(spm,[status(thm)],[c_0_84, c_0_41]), c_0_44]), c_0_26]), c_0_51])]), c_0_45]), c_0_34])).
cnf(c_0_86, negated_conjecture, (~m1_subset_1(k6_field_16(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))), 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(spm,[status(thm)],[c_0_85, c_0_40]), c_0_44]), c_0_26]), c_0_51])]), c_0_45]), c_0_34])).
cnf(c_0_87, negated_conjecture, ($false), 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(spm,[status(thm)],[c_0_86, c_0_39]), c_0_44]), c_0_26]), c_0_51])]), c_0_45]), c_0_34]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 88
# Proof object clause steps            : 55
# Proof object formula steps           : 33
# Proof object conjectures             : 41
# Proof object clause conjectures      : 38
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 31
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 23
# Proof object simplifying inferences  : 109
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 35
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 35
# Processed clauses                    : 147
# ...of these trivial                  : 0
# ...subsumed                          : 12
# ...remaining for further processing  : 135
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 25
# Backward-rewritten                   : 8
# Generated clauses                    : 119
# ...of the previous two non-trivial   : 116
# Contextual simplify-reflections      : 5
# Paramodulations                      : 119
# 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  : 69
#    Positive orientable unit clauses  : 13
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 50
# Current number of unprocessed clauses: 36
# ...number of literals in the above   : 283
# Current number of archived formulas  : 0
# Current number of archived clauses   : 66
# Clause-clause subsumption calls (NU) : 3884
# Rec. Clause-clause subsumption calls : 267
# Non-unit clause-clause subsumptions  : 41
# Unit Clause-clause subsumption calls : 12
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 4
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 11544

# -------------------------------------------------
# User time                : 0.025 s
# System time              : 0.003 s
# Total time               : 0.028 s
# Maximum resident set size: 3476 pages
