# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
# and selection function PSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.030 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc5_vectsp_1, axiom, ![X1]:(l4_algstr_0(X1)=>((~(v2_struct_0(X1))&v4_vectsp_1(X1))=>(~(v2_struct_0(X1))&v1_group_1(X1)))), file('field_16/field_16__t39_field_16', cc5_vectsp_1)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('field_16/field_16__t39_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__t39_field_16', dt_l6_algstr_0)).
fof(t39_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))&v3_ring_3(X3,X1))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>k7_polynom5(X3,k7_field_16(X3,k1_newton(X1,X2)))=u1_struct_0(X3))))), file('field_16/field_16__t39_field_16', t39_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__t39_field_16', redefinition_k7_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__t39_field_16', dt_k6_field_16)).
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__t39_field_16', fc19_field_16)).
fof(fc4_newton, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>v7_ordinal1(k1_newton(X1,X2))), file('field_16/field_16__t39_field_16', fc4_newton)).
fof(t35_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))&v3_ring_3(X3,X1))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>![X4]:(m1_subset_1(X4,u1_struct_0(X3))=>k2_polynom4(X3,k7_field_16(X3,k1_newton(X1,X2)),X4)=k4_struct_0(X3)))))), file('field_16/field_16__t39_field_16', t35_field_16)).
fof(d10_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,k1_zfmisc_1(u1_struct_0(X1)))=>(X3=k7_polynom5(X1,X2)<=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>(r2_tarski(X4,X3)<=>r1_polynom5(X1,X2,X4))))))), file('field_16/field_16__t39_field_16', d10_polynom5)).
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__t39_field_16', d7_polynom5)).
fof(t3_subset, axiom, ![X1, X2]:(m1_subset_1(X1,k1_zfmisc_1(X2))<=>r1_tarski(X1,X2)), file('field_16/field_16__t39_field_16', t3_subset)).
fof(reflexivity_r1_tarski, axiom, ![X1, X2]:r1_tarski(X1,X1), file('field_16/field_16__t39_field_16', reflexivity_r1_tarski)).
fof(dt_l2_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>l1_struct_0(X1)), file('field_16/field_16__t39_field_16', dt_l2_struct_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__t39_field_16', dt_l2_algstr_0)).
fof(fc13_field_16, axiom, ![X1, X2]:(((v7_ordinal1(X1)&v7_ordinal1(X2))&~(v8_ordinal1(X2)))=>v2_field_16(k1_newton(X1,X2),X1)), file('field_16/field_16__t39_field_16', fc13_field_16)).
fof(d16_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>k7_struct_0(X1)=k1_card_1(u1_struct_0(X1))), file('field_16/field_16__t39_field_16', d16_struct_0)).
fof(cc2_field_16, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>![X2]:((v7_ordinal1(X2)&v2_field_16(X2,X1))=>((v7_ordinal1(X2)&~(v8_ordinal1(X2)))&v2_field_16(X2,X1)))), file('field_16/field_16__t39_field_16', cc2_field_16)).
fof(fc2_card_1, axiom, ![X1]:(v1_xboole_0(X1)=>(v8_ordinal1(k1_card_1(X1))&v1_card_1(k1_card_1(X1)))), file('field_16/field_16__t39_field_16', fc2_card_1)).
fof(cc3_int_3, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>((v7_ordinal1(X1)&~(v8_ordinal1(X1)))&v1_int_2(X1))), file('field_16/field_16__t39_field_16', cc3_int_3)).
fof(cc3_field_16, axiom, ![X1]:((~(v1_zfmisc_1(X1))&v7_ordinal1(X1))=>![X2]:((v7_ordinal1(X2)&v2_field_16(X2,X1))=>((~(v1_zfmisc_1(X2))&v7_ordinal1(X2))&v2_field_16(X2,X1)))), file('field_16/field_16__t39_field_16', cc3_field_16)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('field_16/field_16__t39_field_16', t2_subset)).
fof(cc1_nat_6, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>(~(v1_zfmisc_1(X1))&v7_ordinal1(X1))), file('field_16/field_16__t39_field_16', cc1_nat_6)).
fof(c_0_23, plain, ![X1]:(l4_algstr_0(X1)=>((~v2_struct_0(X1)&v4_vectsp_1(X1))=>(~v2_struct_0(X1)&v1_group_1(X1)))), inference(fof_simplification,[status(thm)],[cc5_vectsp_1])).
fof(c_0_24, plain, ![X57]:((~v2_struct_0(X57)|(v2_struct_0(X57)|~v4_vectsp_1(X57))|~l4_algstr_0(X57))&(v1_group_1(X57)|(v2_struct_0(X57)|~v4_vectsp_1(X57))|~l4_algstr_0(X57))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
fof(c_0_25, plain, ![X71]:((l4_algstr_0(X71)|~l5_algstr_0(X71))&(l4_struct_0(X71)|~l5_algstr_0(X71))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
cnf(c_0_26, plain, (v1_group_1(X1)|v2_struct_0(X1)|~v4_vectsp_1(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_27, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_28, plain, ![X72]:((l2_algstr_0(X72)|~l6_algstr_0(X72))&(l5_algstr_0(X72)|~l6_algstr_0(X72))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_29, 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))&v3_ring_3(X3,X1))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>k7_polynom5(X3,k7_field_16(X3,k1_newton(X1,X2)))=u1_struct_0(X3)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t39_field_16])])).
fof(c_0_30, 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_31, 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])).
cnf(c_0_32, plain, (v1_group_1(X1)|v2_struct_0(X1)|~l5_algstr_0(X1)|~v4_vectsp_1(X1)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
cnf(c_0_33, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_34, 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))&v3_ring_3(esk3_0,esk1_0))&l6_algstr_0(esk3_0))&(k7_struct_0(esk3_0)=k1_newton(esk1_0,esk2_0)&k7_polynom5(esk3_0,k7_field_16(esk3_0,k1_newton(esk1_0,esk2_0)))!=u1_struct_0(esk3_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])).
fof(c_0_35, 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_36, plain, ![X80, X81]:(v2_struct_0(X80)|v6_struct_0(X80)|~v13_algstr_0(X80)|~v2_rlvect_1(X80)|~v3_rlvect_1(X80)|~v4_rlvect_1(X80)|~v4_vectsp_1(X80)|~v5_vectsp_1(X80)|~v3_group_1(X80)|~l6_algstr_0(X80)|v1_zfmisc_1(X81)|~v7_ordinal1(X81)|k7_field_16(X80,X81)=k6_field_16(X80,X81)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])).
fof(c_0_37, plain, ![X67, X68]:(((v1_funct_1(k6_field_16(X67,X68))|(v2_struct_0(X67)|~v1_group_1(X67)|~l6_algstr_0(X67)|v1_zfmisc_1(X68)|~v7_ordinal1(X68)))&(v1_funct_2(k6_field_16(X67,X68),k4_ordinal1,u1_struct_0(X67))|(v2_struct_0(X67)|~v1_group_1(X67)|~l6_algstr_0(X67)|v1_zfmisc_1(X68)|~v7_ordinal1(X68))))&(m1_subset_1(k6_field_16(X67,X68),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X67))))|(v2_struct_0(X67)|~v1_group_1(X67)|~l6_algstr_0(X67)|v1_zfmisc_1(X68)|~v7_ordinal1(X68)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
cnf(c_0_38, plain, (v1_group_1(X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v4_vectsp_1(X1)), inference(spm,[status(thm)],[c_0_32, c_0_33])).
cnf(c_0_39, negated_conjecture, (l6_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_40, negated_conjecture, (v4_vectsp_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_41, negated_conjecture, (~v2_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
fof(c_0_42, plain, ![X75, X76]:(((v1_funct_1(k6_field_16(X75,X76))|(v2_struct_0(X75)|~v1_group_1(X75)|~l6_algstr_0(X75)|v1_zfmisc_1(X76)|~v7_ordinal1(X76)))&(v1_funct_2(k6_field_16(X75,X76),k4_ordinal1,u1_struct_0(X75))|(v2_struct_0(X75)|~v1_group_1(X75)|~l6_algstr_0(X75)|v1_zfmisc_1(X76)|~v7_ordinal1(X76))))&(v1_polynom1(k6_field_16(X75,X76),X75)|(v2_struct_0(X75)|~v1_group_1(X75)|~l6_algstr_0(X75)|v1_zfmisc_1(X76)|~v7_ordinal1(X76)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])).
cnf(c_0_43, 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_36])).
cnf(c_0_44, negated_conjecture, (v3_group_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_45, negated_conjecture, (v5_vectsp_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_46, negated_conjecture, (v4_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_47, negated_conjecture, (v3_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_48, negated_conjecture, (v2_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_49, negated_conjecture, (v13_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_50, negated_conjecture, (~v6_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
fof(c_0_51, plain, ![X78, X79]:(~v7_ordinal1(X78)|~v7_ordinal1(X79)|v7_ordinal1(k1_newton(X78,X79))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_newton])])).
cnf(c_0_52, 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_37])).
cnf(c_0_53, negated_conjecture, (v1_group_1(esk3_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])]), c_0_41])).
cnf(c_0_54, 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_37])).
cnf(c_0_55, 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_37])).
cnf(c_0_56, 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_42])).
cnf(c_0_57, negated_conjecture, (k7_field_16(esk3_0,X1)=k6_field_16(esk3_0,X1)|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(spm,[status(thm)],[c_0_43, c_0_39]), c_0_44]), c_0_45]), c_0_40]), c_0_46]), c_0_47]), c_0_48]), c_0_49])]), c_0_50]), c_0_41])).
cnf(c_0_58, plain, (v7_ordinal1(k1_newton(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_59, negated_conjecture, (m1_subset_1(k6_field_16(esk3_0,X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk3_0))))|v1_zfmisc_1(X1)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_39])]), c_0_41])).
cnf(c_0_60, negated_conjecture, (v1_funct_1(k6_field_16(esk3_0,X1))|v1_zfmisc_1(X1)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_53]), c_0_39])]), c_0_41])).
cnf(c_0_61, negated_conjecture, (v1_funct_2(k6_field_16(esk3_0,X1),k4_ordinal1,u1_struct_0(esk3_0))|v1_zfmisc_1(X1)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_53]), c_0_39])]), c_0_41])).
cnf(c_0_62, negated_conjecture, (v1_polynom1(k6_field_16(esk3_0,X1),esk3_0)|v1_zfmisc_1(X1)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_53]), c_0_39])]), c_0_41])).
fof(c_0_63, 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))&v3_ring_3(X3,X1))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>![X4]:(m1_subset_1(X4,u1_struct_0(X3))=>k2_polynom4(X3,k7_field_16(X3,k1_newton(X1,X2)),X4)=k4_struct_0(X3)))))), inference(fof_simplification,[status(thm)],[t35_field_16])).
cnf(c_0_64, negated_conjecture, (k7_field_16(esk3_0,k1_newton(X1,X2))=k6_field_16(esk3_0,k1_newton(X1,X2))|v1_zfmisc_1(k1_newton(X1,X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_57, c_0_58])).
cnf(c_0_65, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
fof(c_0_66, 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,k1_zfmisc_1(u1_struct_0(X1)))=>(X3=k7_polynom5(X1,X2)<=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>(r2_tarski(X4,X3)<=>r1_polynom5(X1,X2,X4))))))), inference(fof_simplification,[status(thm)],[d10_polynom5])).
cnf(c_0_67, negated_conjecture, (m1_subset_1(k6_field_16(esk3_0,k1_newton(X1,X2)),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk3_0))))|v1_zfmisc_1(k1_newton(X1,X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_59, c_0_58])).
cnf(c_0_68, negated_conjecture, (v1_funct_1(k6_field_16(esk3_0,k1_newton(X1,X2)))|v1_zfmisc_1(k1_newton(X1,X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_60, c_0_58])).
cnf(c_0_69, negated_conjecture, (v1_funct_2(k6_field_16(esk3_0,k1_newton(X1,X2)),k4_ordinal1,u1_struct_0(esk3_0))|v1_zfmisc_1(k1_newton(X1,X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_61, c_0_58])).
cnf(c_0_70, negated_conjecture, (v1_polynom1(k6_field_16(esk3_0,k1_newton(X1,X2)),esk3_0)|v1_zfmisc_1(k1_newton(X1,X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_62, c_0_58])).
fof(c_0_71, 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_72, plain, ![X85, X86, X87, X88]:(~v7_ordinal1(X85)|~v1_int_2(X85)|(~v7_ordinal1(X86)|v8_ordinal1(X86)|(v2_struct_0(X87)|v6_struct_0(X87)|~v13_algstr_0(X87)|~v33_algstr_0(X87)|~v2_rlvect_1(X87)|~v3_rlvect_1(X87)|~v4_rlvect_1(X87)|~v4_vectsp_1(X87)|~v5_vectsp_1(X87)|~v3_group_1(X87)|~v5_group_1(X87)|~v3_ring_3(X87,X85)|~l6_algstr_0(X87)|(k7_struct_0(X87)!=k1_newton(X85,X86)|(~m1_subset_1(X88,u1_struct_0(X87))|k2_polynom4(X87,k7_field_16(X87,k1_newton(X85,X86)),X88)=k4_struct_0(X87)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])).
cnf(c_0_73, negated_conjecture, (k7_field_16(esk3_0,k1_newton(X1,esk2_0))=k6_field_16(esk3_0,k1_newton(X1,esk2_0))|v1_zfmisc_1(k1_newton(X1,esk2_0))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_64, c_0_65])).
cnf(c_0_74, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
fof(c_0_75, plain, ![X58, X59, X60, X61]:(((~r2_tarski(X61,X60)|r1_polynom5(X58,X59,X61)|~m1_subset_1(X61,u1_struct_0(X58))|X60!=k7_polynom5(X58,X59)|~m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X58)))|(~v1_funct_1(X59)|~v1_funct_2(X59,k4_ordinal1,u1_struct_0(X58))|~v1_polynom1(X59,X58)|~m1_subset_1(X59,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X58)))))|(v2_struct_0(X58)|~v1_group_1(X58)|~l6_algstr_0(X58)))&(~r1_polynom5(X58,X59,X61)|r2_tarski(X61,X60)|~m1_subset_1(X61,u1_struct_0(X58))|X60!=k7_polynom5(X58,X59)|~m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X58)))|(~v1_funct_1(X59)|~v1_funct_2(X59,k4_ordinal1,u1_struct_0(X58))|~v1_polynom1(X59,X58)|~m1_subset_1(X59,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X58)))))|(v2_struct_0(X58)|~v1_group_1(X58)|~l6_algstr_0(X58))))&((m1_subset_1(esk4_3(X58,X59,X60),u1_struct_0(X58))|X60=k7_polynom5(X58,X59)|~m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X58)))|(~v1_funct_1(X59)|~v1_funct_2(X59,k4_ordinal1,u1_struct_0(X58))|~v1_polynom1(X59,X58)|~m1_subset_1(X59,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X58)))))|(v2_struct_0(X58)|~v1_group_1(X58)|~l6_algstr_0(X58)))&((~r2_tarski(esk4_3(X58,X59,X60),X60)|~r1_polynom5(X58,X59,esk4_3(X58,X59,X60))|X60=k7_polynom5(X58,X59)|~m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X58)))|(~v1_funct_1(X59)|~v1_funct_2(X59,k4_ordinal1,u1_struct_0(X58))|~v1_polynom1(X59,X58)|~m1_subset_1(X59,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X58)))))|(v2_struct_0(X58)|~v1_group_1(X58)|~l6_algstr_0(X58)))&(r2_tarski(esk4_3(X58,X59,X60),X60)|r1_polynom5(X58,X59,esk4_3(X58,X59,X60))|X60=k7_polynom5(X58,X59)|~m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X58)))|(~v1_funct_1(X59)|~v1_funct_2(X59,k4_ordinal1,u1_struct_0(X58))|~v1_polynom1(X59,X58)|~m1_subset_1(X59,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X58)))))|(v2_struct_0(X58)|~v1_group_1(X58)|~l6_algstr_0(X58)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])])])).
cnf(c_0_76, negated_conjecture, (m1_subset_1(k6_field_16(esk3_0,k1_newton(X1,esk2_0)),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk3_0))))|v1_zfmisc_1(k1_newton(X1,esk2_0))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_67, c_0_65])).
cnf(c_0_77, negated_conjecture, (v1_funct_1(k6_field_16(esk3_0,k1_newton(X1,esk2_0)))|v1_zfmisc_1(k1_newton(X1,esk2_0))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_68, c_0_65])).
cnf(c_0_78, negated_conjecture, (v1_funct_2(k6_field_16(esk3_0,k1_newton(X1,esk2_0)),k4_ordinal1,u1_struct_0(esk3_0))|v1_zfmisc_1(k1_newton(X1,esk2_0))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_69, c_0_65])).
cnf(c_0_79, negated_conjecture, (v1_polynom1(k6_field_16(esk3_0,k1_newton(X1,esk2_0)),esk3_0)|v1_zfmisc_1(k1_newton(X1,esk2_0))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_70, c_0_65])).
fof(c_0_80, plain, ![X89, X90]:((~m1_subset_1(X89,k1_zfmisc_1(X90))|r1_tarski(X89,X90))&(~r1_tarski(X89,X90)|m1_subset_1(X89,k1_zfmisc_1(X90)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])).
fof(c_0_81, plain, ![X82]:r1_tarski(X82,X82), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])])).
fof(c_0_82, plain, ![X70]:(~l2_struct_0(X70)|l1_struct_0(X70)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])])).
fof(c_0_83, plain, ![X69]:((l2_struct_0(X69)|~l2_algstr_0(X69))&(l1_algstr_0(X69)|~l2_algstr_0(X69))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
fof(c_0_84, plain, ![X64, X65, X66]:((~r1_polynom5(X64,X65,X66)|k2_polynom4(X64,X65,X66)=k4_struct_0(X64)|~m1_subset_1(X66,u1_struct_0(X64))|(~v1_funct_1(X65)|~v1_funct_2(X65,k4_ordinal1,u1_struct_0(X64))|~v1_polynom1(X65,X64)|~m1_subset_1(X65,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X64)))))|(v2_struct_0(X64)|~v1_group_1(X64)|~l6_algstr_0(X64)))&(k2_polynom4(X64,X65,X66)!=k4_struct_0(X64)|r1_polynom5(X64,X65,X66)|~m1_subset_1(X66,u1_struct_0(X64))|(~v1_funct_1(X65)|~v1_funct_2(X65,k4_ordinal1,u1_struct_0(X64))|~v1_polynom1(X65,X64)|~m1_subset_1(X65,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X64)))))|(v2_struct_0(X64)|~v1_group_1(X64)|~l6_algstr_0(X64)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])])])).
cnf(c_0_85, plain, (v8_ordinal1(X2)|v2_struct_0(X3)|v6_struct_0(X3)|k2_polynom4(X3,k7_field_16(X3,k1_newton(X1,X2)),X4)=k4_struct_0(X3)|~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)|~v3_ring_3(X3,X1)|~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_72])).
cnf(c_0_86, negated_conjecture, (k7_field_16(esk3_0,k1_newton(esk1_0,esk2_0))=k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0))|v1_zfmisc_1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_73, c_0_74])).
cnf(c_0_87, negated_conjecture, (k7_struct_0(esk3_0)=k1_newton(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_88, negated_conjecture, (v3_ring_3(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_89, negated_conjecture, (v5_group_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_90, negated_conjecture, (v33_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_91, negated_conjecture, (v1_int_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_92, negated_conjecture, (~v8_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_93, plain, (m1_subset_1(esk4_3(X1,X2,X3),u1_struct_0(X1))|X3=k7_polynom5(X1,X2)|v2_struct_0(X1)|~m1_subset_1(X3,k1_zfmisc_1(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_75])).
cnf(c_0_94, negated_conjecture, (m1_subset_1(k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk3_0))))|v1_zfmisc_1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_76, c_0_74])).
cnf(c_0_95, negated_conjecture, (v1_funct_1(k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)))|v1_zfmisc_1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_77, c_0_74])).
cnf(c_0_96, negated_conjecture, (v1_funct_2(k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)),k4_ordinal1,u1_struct_0(esk3_0))|v1_zfmisc_1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_78, c_0_74])).
cnf(c_0_97, negated_conjecture, (v1_polynom1(k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)),esk3_0)|v1_zfmisc_1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_79, c_0_74])).
cnf(c_0_98, plain, (m1_subset_1(X1,k1_zfmisc_1(X2))|~r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_80])).
cnf(c_0_99, plain, (r1_tarski(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_100, negated_conjecture, (k7_polynom5(esk3_0,k7_field_16(esk3_0,k1_newton(esk1_0,esk2_0)))!=u1_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_34])).
fof(c_0_101, plain, ![X1, X2]:(((v7_ordinal1(X1)&v7_ordinal1(X2))&~v8_ordinal1(X2))=>v2_field_16(k1_newton(X1,X2),X1)), inference(fof_simplification,[status(thm)],[fc13_field_16])).
fof(c_0_102, plain, ![X63]:(~l1_struct_0(X63)|k7_struct_0(X63)=k1_card_1(u1_struct_0(X63))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d16_struct_0])])).
cnf(c_0_103, plain, (l1_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_104, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_105, 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_84])).
cnf(c_0_106, negated_conjecture, (k2_polynom4(esk3_0,k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)),X1)=k4_struct_0(esk3_0)|v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|~m1_subset_1(X1,u1_struct_0(esk3_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_87]), c_0_39]), c_0_88]), c_0_89]), c_0_44]), c_0_45]), c_0_40]), c_0_46]), c_0_47]), c_0_48]), c_0_90]), c_0_49]), c_0_91]), c_0_65]), c_0_74])]), c_0_50]), c_0_41]), c_0_92])).
cnf(c_0_107, negated_conjecture, (X1=k7_polynom5(esk3_0,k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)))|m1_subset_1(esk4_3(esk3_0,k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)),X1),u1_struct_0(esk3_0))|v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk3_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_53]), c_0_39])]), c_0_41]), c_0_95]), c_0_96]), c_0_97])).
cnf(c_0_108, plain, (m1_subset_1(X1,k1_zfmisc_1(X1))), inference(spm,[status(thm)],[c_0_98, c_0_99])).
cnf(c_0_109, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|k7_polynom5(esk3_0,k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)))!=u1_struct_0(esk3_0)), inference(spm,[status(thm)],[c_0_100, c_0_86])).
fof(c_0_110, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>![X2]:((v7_ordinal1(X2)&v2_field_16(X2,X1))=>((v7_ordinal1(X2)&~v8_ordinal1(X2))&v2_field_16(X2,X1)))), inference(fof_simplification,[status(thm)],[cc2_field_16])).
fof(c_0_111, plain, ![X73, X74]:(~v7_ordinal1(X73)|~v7_ordinal1(X74)|v8_ordinal1(X74)|v2_field_16(k1_newton(X73,X74),X73)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])).
fof(c_0_112, plain, ![X77]:((v8_ordinal1(k1_card_1(X77))|~v1_xboole_0(X77))&(v1_card_1(k1_card_1(X77))|~v1_xboole_0(X77))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_card_1])])])).
cnf(c_0_113, plain, (k7_struct_0(X1)=k1_card_1(u1_struct_0(X1))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_102])).
cnf(c_0_114, plain, (l1_struct_0(X1)|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_103, c_0_104])).
fof(c_0_115, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>((v7_ordinal1(X1)&~v8_ordinal1(X1))&v1_int_2(X1))), inference(fof_simplification,[status(thm)],[cc3_int_3])).
fof(c_0_116, plain, ![X1]:((~v1_zfmisc_1(X1)&v7_ordinal1(X1))=>![X2]:((v7_ordinal1(X2)&v2_field_16(X2,X1))=>((~v1_zfmisc_1(X2)&v7_ordinal1(X2))&v2_field_16(X2,X1)))), inference(fof_simplification,[status(thm)],[cc3_field_16])).
cnf(c_0_117, plain, (X3=k7_polynom5(X1,X2)|v2_struct_0(X1)|~r2_tarski(esk4_3(X1,X2,X3),X3)|~r1_polynom5(X1,X2,esk4_3(X1,X2,X3))|~m1_subset_1(X3,k1_zfmisc_1(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_75])).
cnf(c_0_118, negated_conjecture, (r1_polynom5(esk3_0,k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)),X1)|v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|~m1_subset_1(X1,u1_struct_0(esk3_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_94]), c_0_53]), c_0_39])]), c_0_41]), c_0_95]), c_0_96]), c_0_97]), c_0_106])).
cnf(c_0_119, negated_conjecture, (m1_subset_1(esk4_3(esk3_0,k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)),u1_struct_0(esk3_0)),u1_struct_0(esk3_0))|v1_zfmisc_1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_108]), c_0_109])).
fof(c_0_120, plain, ![X83, X84]:(~m1_subset_1(X83,X84)|(v1_xboole_0(X84)|r2_tarski(X83,X84))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
fof(c_0_121, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>(~v1_zfmisc_1(X1)&v7_ordinal1(X1))), inference(fof_simplification,[status(thm)],[cc1_nat_6])).
fof(c_0_122, plain, ![X52, X53]:(((v7_ordinal1(X53)|(~v7_ordinal1(X53)|~v2_field_16(X53,X52))|(~v7_ordinal1(X52)|v8_ordinal1(X52)))&(~v8_ordinal1(X53)|(~v7_ordinal1(X53)|~v2_field_16(X53,X52))|(~v7_ordinal1(X52)|v8_ordinal1(X52))))&(v2_field_16(X53,X52)|(~v7_ordinal1(X53)|~v2_field_16(X53,X52))|(~v7_ordinal1(X52)|v8_ordinal1(X52)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_110])])])])).
cnf(c_0_123, plain, (v8_ordinal1(X2)|v2_field_16(k1_newton(X1,X2),X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_111])).
cnf(c_0_124, plain, (v8_ordinal1(k1_card_1(X1))|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_112])).
cnf(c_0_125, plain, (k1_card_1(u1_struct_0(X1))=k7_struct_0(X1)|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_113, c_0_114])).
fof(c_0_126, plain, ![X56]:(((v7_ordinal1(X56)|(~v7_ordinal1(X56)|~v1_int_2(X56)))&(~v8_ordinal1(X56)|(~v7_ordinal1(X56)|~v1_int_2(X56))))&(v1_int_2(X56)|(~v7_ordinal1(X56)|~v1_int_2(X56)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])])])).
fof(c_0_127, plain, ![X54, X55]:(((~v1_zfmisc_1(X55)|(~v7_ordinal1(X55)|~v2_field_16(X55,X54))|(v1_zfmisc_1(X54)|~v7_ordinal1(X54)))&(v7_ordinal1(X55)|(~v7_ordinal1(X55)|~v2_field_16(X55,X54))|(v1_zfmisc_1(X54)|~v7_ordinal1(X54))))&(v2_field_16(X55,X54)|(~v7_ordinal1(X55)|~v2_field_16(X55,X54))|(v1_zfmisc_1(X54)|~v7_ordinal1(X54)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_116])])])])).
cnf(c_0_128, negated_conjecture, (X1=k7_polynom5(esk3_0,k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)))|v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|~r1_polynom5(esk3_0,k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)),esk4_3(esk3_0,k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)),X1))|~r2_tarski(esk4_3(esk3_0,k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)),X1),X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk3_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_94]), c_0_53]), c_0_39])]), c_0_41]), c_0_95]), c_0_96]), c_0_97])).
cnf(c_0_129, negated_conjecture, (r1_polynom5(esk3_0,k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)),esk4_3(esk3_0,k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)),u1_struct_0(esk3_0)))|v1_zfmisc_1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_118, c_0_119])).
cnf(c_0_130, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_120])).
fof(c_0_131, plain, ![X51]:((~v1_zfmisc_1(X51)|(~v7_ordinal1(X51)|~v1_int_2(X51)))&(v7_ordinal1(X51)|(~v7_ordinal1(X51)|~v1_int_2(X51)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_121])])])).
cnf(c_0_132, plain, (v8_ordinal1(X2)|~v8_ordinal1(X1)|~v7_ordinal1(X1)|~v2_field_16(X1,X2)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_122])).
cnf(c_0_133, negated_conjecture, (v2_field_16(k1_newton(X1,esk2_0),X1)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_65]), c_0_92])).
cnf(c_0_134, plain, (v8_ordinal1(k7_struct_0(X1))|~v1_xboole_0(u1_struct_0(X1))|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_124, c_0_125])).
cnf(c_0_135, plain, (~v8_ordinal1(X1)|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_126])).
cnf(c_0_136, plain, (v1_zfmisc_1(X2)|~v1_zfmisc_1(X1)|~v7_ordinal1(X1)|~v2_field_16(X1,X2)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_127])).
cnf(c_0_137, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|~r2_tarski(esk4_3(esk3_0,k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)),u1_struct_0(esk3_0)),u1_struct_0(esk3_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128, c_0_129]), c_0_108])]), c_0_109])).
cnf(c_0_138, negated_conjecture, (v1_xboole_0(u1_struct_0(esk3_0))|r2_tarski(esk4_3(esk3_0,k6_field_16(esk3_0,k1_newton(esk1_0,esk2_0)),u1_struct_0(esk3_0)),u1_struct_0(esk3_0))|v1_zfmisc_1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_130, c_0_119])).
cnf(c_0_139, plain, (~v1_zfmisc_1(X1)|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_131])).
cnf(c_0_140, negated_conjecture, (v8_ordinal1(X1)|~v8_ordinal1(k1_newton(X1,esk2_0))|~v7_ordinal1(k1_newton(X1,esk2_0))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_132, c_0_133])).
cnf(c_0_141, negated_conjecture, (v8_ordinal1(k1_newton(esk1_0,esk2_0))|~v1_xboole_0(u1_struct_0(esk3_0))|~l2_algstr_0(esk3_0)), inference(spm,[status(thm)],[c_0_134, c_0_87])).
cnf(c_0_142, negated_conjecture, (~v8_ordinal1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_91]), c_0_74])])).
cnf(c_0_143, negated_conjecture, (v1_zfmisc_1(X1)|~v1_zfmisc_1(k1_newton(X1,esk2_0))|~v7_ordinal1(k1_newton(X1,esk2_0))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_136, c_0_133])).
cnf(c_0_144, negated_conjecture, (v1_xboole_0(u1_struct_0(esk3_0))|v1_zfmisc_1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_137, c_0_138])).
cnf(c_0_145, negated_conjecture, (~v1_zfmisc_1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139, c_0_91]), c_0_74])])).
cnf(c_0_146, negated_conjecture, (~v1_xboole_0(u1_struct_0(esk3_0))|~l2_algstr_0(esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140, c_0_141]), c_0_74])]), c_0_142])).
cnf(c_0_147, negated_conjecture, (v1_xboole_0(u1_struct_0(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143, c_0_144]), c_0_74])]), c_0_145])).
cnf(c_0_148, negated_conjecture, (~l2_algstr_0(esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_146, c_0_147])).
cnf(c_0_149, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_150, negated_conjecture, (~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148, c_0_149]), c_0_39])])).
cnf(c_0_151, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150, c_0_58]), c_0_65]), c_0_74])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 152
# Proof object clause steps            : 93
# Proof object formula steps           : 59
# Proof object conjectures             : 64
# Proof object clause conjectures      : 61
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 45
# Proof object initial formulas used   : 23
# Proof object generating inferences   : 48
# Proof object simplifying inferences  : 86
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 23
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 63
# Removed in clause preprocessing      : 8
# Initial clauses in saturation        : 55
# Processed clauses                    : 30493
# ...of these trivial                  : 0
# ...subsumed                          : 53
# ...remaining for further processing  : 30440
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 6098
# Backward-rewritten                   : 0
# Generated clauses                    : 74752
# ...of the previous two non-trivial   : 74743
# Contextual simplify-reflections      : 212
# Paramodulations                      : 74734
# Factorizations                       : 4
# NegExts                              : 0
# Equation resolutions                 : 14
# 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  : 24342
#    Positive orientable unit clauses  : 23
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 7
#    Non-unit-clauses                  : 24312
# Current number of unprocessed clauses: 44305
# ...number of literals in the above   : 304468
# Current number of archived formulas  : 0
# Current number of archived clauses   : 6098
# Clause-clause subsumption calls (NU) : 143486495
# Rec. Clause-clause subsumption calls : 38469943
# Non-unit clause-clause subsumptions  : 6363
# Unit Clause-clause subsumption calls : 5132
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 8
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 7024210

# -------------------------------------------------
# User time                : 63.480 s
# System time              : 0.184 s
# Total time               : 63.664 s
# Maximum resident set size: 3592 pages
