# 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       : 0.017 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc3_struct_0, axiom, ![X1]:(l4_struct_0(X1)=>(~(v6_struct_0(X1))=>~(v7_struct_0(X1)))), file('field_16/field_16__t30_field_16', cc3_struct_0)).
fof(cc2_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>(~(v7_struct_0(X1))=>~(v2_struct_0(X1)))), file('field_16/field_16__t30_field_16', cc2_struct_0)).
fof(t30_field_16, conjecture, ![X1]:(((~(v6_struct_0(X1))&v1_group_1(X1))&l6_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:((~(v1_zfmisc_1(X3))&v7_ordinal1(X3))=>((k8_nat_1(u1_struct_0(X1),k6_field_16(X1,X3),np__1)=k4_algstr_0(X1,k5_struct_0(X1))&k8_nat_1(u1_struct_0(X1),k6_field_16(X1,X3),X3)=k5_struct_0(X1))&![X4]:(v7_ordinal1(X4)=>~(((X4!=np__1&X4!=X3)&k8_nat_1(u1_struct_0(X1),k6_field_16(X1,X3),X4)!=k4_struct_0(X1)))))))), file('field_16/field_16__t30_field_16', t30_field_16)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('field_16/field_16__t30_field_16', dt_l5_algstr_0)).
fof(dt_l2_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>l1_struct_0(X1)), file('field_16/field_16__t30_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__t30_field_16', dt_l2_algstr_0)).
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__t30_field_16', dt_k6_field_16)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('field_16/field_16__t30_field_16', dt_l6_algstr_0)).
fof(d7_field_16, axiom, ![X1]:(((~(v2_struct_0(X1))&v1_group_1(X1))&l6_algstr_0(X1))=>![X2]:((~(v1_zfmisc_1(X2))&v7_ordinal1(X2))=>k6_field_16(X1,X2)=k1_funct_4(k8_polynom3(X1),k7_funct_4(u1_struct_0(X1),np__1,X2,k4_algstr_0(X1,k5_struct_0(X1)),k5_struct_0(X1))))), file('field_16/field_16__t30_field_16', d7_field_16)).
fof(l42_field_16, axiom, ![X1]:(((~(v2_struct_0(X1))&v1_group_1(X1))&l6_algstr_0(X1))=>![X2]:((~(v1_zfmisc_1(X2))&v7_ordinal1(X2))=>(k1_funct_1(k1_funct_4(k8_polynom3(X1),k7_funct_4(u1_struct_0(X1),np__1,X2,k4_algstr_0(X1,k5_struct_0(X1)),k5_struct_0(X1))),np__1)=k4_algstr_0(X1,k5_struct_0(X1))&k1_funct_1(k1_funct_4(k8_polynom3(X1),k7_funct_4(u1_struct_0(X1),np__1,X2,k4_algstr_0(X1,k5_struct_0(X1)),k5_struct_0(X1))),X2)=k5_struct_0(X1)))), file('field_16/field_16__t30_field_16', l42_field_16)).
fof(redefinition_k8_nat_1, axiom, ![X1, X2, X3]:((((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X1))))&v7_ordinal1(X3))=>k8_nat_1(X1,X2,X3)=k1_funct_1(X2,X3)), file('field_16/field_16__t30_field_16', redefinition_k8_nat_1)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('field_16/field_16__t30_field_16', cc8_ordinal1)).
fof(l43_field_16, axiom, ![X1]:(((~(v2_struct_0(X1))&v1_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>~(((X2!=np__1&X2!=X3)&k1_funct_1(k1_funct_4(k8_polynom3(X1),k7_funct_4(u1_struct_0(X1),np__1,X3,k4_algstr_0(X1,k5_struct_0(X1)),k5_struct_0(X1))),X2)!=k4_struct_0(X1)))))), file('field_16/field_16__t30_field_16', l43_field_16)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('field_16/field_16__t30_field_16', spc1_numerals)).
fof(c_0_14, plain, ![X1]:(l4_struct_0(X1)=>(~v6_struct_0(X1)=>~v7_struct_0(X1))), inference(fof_simplification,[status(thm)],[cc3_struct_0])).
fof(c_0_15, plain, ![X1]:(l1_struct_0(X1)=>(~v7_struct_0(X1)=>~v2_struct_0(X1))), inference(fof_simplification,[status(thm)],[cc2_struct_0])).
fof(c_0_16, negated_conjecture, ~(![X1]:(((~v6_struct_0(X1)&v1_group_1(X1))&l6_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:((~v1_zfmisc_1(X3)&v7_ordinal1(X3))=>((k8_nat_1(u1_struct_0(X1),k6_field_16(X1,X3),np__1)=k4_algstr_0(X1,k5_struct_0(X1))&k8_nat_1(u1_struct_0(X1),k6_field_16(X1,X3),X3)=k5_struct_0(X1))&![X4]:(v7_ordinal1(X4)=>~(((X4!=np__1&X4!=X3)&k8_nat_1(u1_struct_0(X1),k6_field_16(X1,X3),X4)!=k4_struct_0(X1))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t30_field_16])])).
fof(c_0_17, plain, ![X33]:(~l4_struct_0(X33)|(v6_struct_0(X33)|~v7_struct_0(X33))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])).
fof(c_0_18, plain, ![X32]:(~l1_struct_0(X32)|(v7_struct_0(X32)|~v2_struct_0(X32))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])).
fof(c_0_19, negated_conjecture, (((~v6_struct_0(esk1_0)&v1_group_1(esk1_0))&l6_algstr_0(esk1_0))&(m1_subset_1(esk2_0,u1_struct_0(esk1_0))&((~v1_zfmisc_1(esk3_0)&v7_ordinal1(esk3_0))&((v7_ordinal1(esk4_0)|(k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),np__1)!=k4_algstr_0(esk1_0,k5_struct_0(esk1_0))|k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),esk3_0)!=k5_struct_0(esk1_0)))&(((esk4_0!=np__1|(k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),np__1)!=k4_algstr_0(esk1_0,k5_struct_0(esk1_0))|k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),esk3_0)!=k5_struct_0(esk1_0)))&(esk4_0!=esk3_0|(k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),np__1)!=k4_algstr_0(esk1_0,k5_struct_0(esk1_0))|k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),esk3_0)!=k5_struct_0(esk1_0))))&(k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),esk4_0)!=k4_struct_0(esk1_0)|(k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),np__1)!=k4_algstr_0(esk1_0,k5_struct_0(esk1_0))|k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),esk3_0)!=k5_struct_0(esk1_0)))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])).
cnf(c_0_20, plain, (v6_struct_0(X1)|~l4_struct_0(X1)|~v7_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_21, plain, (v7_struct_0(X1)|~l1_struct_0(X1)|~v2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_22, negated_conjecture, (~v6_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_23, plain, (v6_struct_0(X1)|~l4_struct_0(X1)|~v2_struct_0(X1)|~l1_struct_0(X1)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
fof(c_0_24, plain, ![X36]:((l4_algstr_0(X36)|~l5_algstr_0(X36))&(l4_struct_0(X36)|~l5_algstr_0(X36))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
fof(c_0_25, plain, ![X35]:(~l2_struct_0(X35)|l1_struct_0(X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])])).
fof(c_0_26, plain, ![X34]:((l2_struct_0(X34)|~l2_algstr_0(X34))&(l1_algstr_0(X34)|~l2_algstr_0(X34))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
cnf(c_0_27, negated_conjecture, (~l4_struct_0(esk1_0)|~v2_struct_0(esk1_0)|~l1_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_22, c_0_23])).
cnf(c_0_28, plain, (l4_struct_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_29, plain, (l1_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_30, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
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, negated_conjecture, (~l5_algstr_0(esk1_0)|~v2_struct_0(esk1_0)|~l1_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_27, c_0_28])).
cnf(c_0_33, plain, (l1_struct_0(X1)|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
fof(c_0_34, 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_35, plain, ![X41, X42]:(((v1_funct_1(k6_field_16(X41,X42))|(v2_struct_0(X41)|~v1_group_1(X41)|~l6_algstr_0(X41)|v1_zfmisc_1(X42)|~v7_ordinal1(X42)))&(v1_funct_2(k6_field_16(X41,X42),k4_ordinal1,u1_struct_0(X41))|(v2_struct_0(X41)|~v1_group_1(X41)|~l6_algstr_0(X41)|v1_zfmisc_1(X42)|~v7_ordinal1(X42))))&(m1_subset_1(k6_field_16(X41,X42),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X41))))|(v2_struct_0(X41)|~v1_group_1(X41)|~l6_algstr_0(X41)|v1_zfmisc_1(X42)|~v7_ordinal1(X42)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
fof(c_0_36, plain, ![X1]:(((~v2_struct_0(X1)&v1_group_1(X1))&l6_algstr_0(X1))=>![X2]:((~v1_zfmisc_1(X2)&v7_ordinal1(X2))=>k6_field_16(X1,X2)=k1_funct_4(k8_polynom3(X1),k7_funct_4(u1_struct_0(X1),np__1,X2,k4_algstr_0(X1,k5_struct_0(X1)),k5_struct_0(X1))))), inference(fof_simplification,[status(thm)],[d7_field_16])).
cnf(c_0_37, negated_conjecture, (~l5_algstr_0(esk1_0)|~l2_algstr_0(esk1_0)|~v2_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_32, c_0_33])).
cnf(c_0_38, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_39, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
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_35])).
cnf(c_0_41, negated_conjecture, (v7_ordinal1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_42, negated_conjecture, (~v1_zfmisc_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_43, plain, ![X44, X45]:(v2_struct_0(X44)|~v1_group_1(X44)|~l6_algstr_0(X44)|(v1_zfmisc_1(X45)|~v7_ordinal1(X45)|k6_field_16(X44,X45)=k1_funct_4(k8_polynom3(X44),k7_funct_4(u1_struct_0(X44),np__1,X45,k4_algstr_0(X44,k5_struct_0(X44)),k5_struct_0(X44))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])).
cnf(c_0_44, 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_35])).
cnf(c_0_45, negated_conjecture, (~l5_algstr_0(esk1_0)|~v2_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])])).
cnf(c_0_46, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_47, 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_35])).
cnf(c_0_48, negated_conjecture, (v1_funct_1(k6_field_16(X1,esk3_0))|v2_struct_0(X1)|~l6_algstr_0(X1)|~v1_group_1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])).
cnf(c_0_49, negated_conjecture, (v1_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_50, plain, ![X1]:(((~v2_struct_0(X1)&v1_group_1(X1))&l6_algstr_0(X1))=>![X2]:((~v1_zfmisc_1(X2)&v7_ordinal1(X2))=>(k1_funct_1(k1_funct_4(k8_polynom3(X1),k7_funct_4(u1_struct_0(X1),np__1,X2,k4_algstr_0(X1,k5_struct_0(X1)),k5_struct_0(X1))),np__1)=k4_algstr_0(X1,k5_struct_0(X1))&k1_funct_1(k1_funct_4(k8_polynom3(X1),k7_funct_4(u1_struct_0(X1),np__1,X2,k4_algstr_0(X1,k5_struct_0(X1)),k5_struct_0(X1))),X2)=k5_struct_0(X1)))), inference(fof_simplification,[status(thm)],[l42_field_16])).
cnf(c_0_51, plain, (v2_struct_0(X1)|v1_zfmisc_1(X2)|k6_field_16(X1,X2)=k1_funct_4(k8_polynom3(X1),k7_funct_4(u1_struct_0(X1),np__1,X2,k4_algstr_0(X1,k5_struct_0(X1)),k5_struct_0(X1)))|~v1_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_43])).
fof(c_0_52, plain, ![X38, X39, X40]:(~v1_funct_1(X39)|~v1_funct_2(X39,k4_ordinal1,X38)|~m1_subset_1(X39,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X38)))|~v7_ordinal1(X40)|k8_nat_1(X38,X39,X40)=k1_funct_1(X39,X40)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k8_nat_1])])).
cnf(c_0_53, negated_conjecture, (v2_struct_0(X1)|m1_subset_1(k6_field_16(X1,esk3_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~l6_algstr_0(X1)|~v1_group_1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_41]), c_0_42])).
cnf(c_0_54, negated_conjecture, (~v2_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_39])])).
cnf(c_0_55, negated_conjecture, (v1_funct_2(k6_field_16(X1,esk3_0),k4_ordinal1,u1_struct_0(X1))|v2_struct_0(X1)|~l6_algstr_0(X1)|~v1_group_1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_41]), c_0_42])).
cnf(c_0_56, negated_conjecture, (v1_funct_1(k6_field_16(esk1_0,esk3_0))|v2_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_39]), c_0_49])])).
fof(c_0_57, plain, ![X46, X47]:((k1_funct_1(k1_funct_4(k8_polynom3(X46),k7_funct_4(u1_struct_0(X46),np__1,X47,k4_algstr_0(X46,k5_struct_0(X46)),k5_struct_0(X46))),np__1)=k4_algstr_0(X46,k5_struct_0(X46))|(v1_zfmisc_1(X47)|~v7_ordinal1(X47))|(v2_struct_0(X46)|~v1_group_1(X46)|~l6_algstr_0(X46)))&(k1_funct_1(k1_funct_4(k8_polynom3(X46),k7_funct_4(u1_struct_0(X46),np__1,X47,k4_algstr_0(X46,k5_struct_0(X46)),k5_struct_0(X46))),X47)=k5_struct_0(X46)|(v1_zfmisc_1(X47)|~v7_ordinal1(X47))|(v2_struct_0(X46)|~v1_group_1(X46)|~l6_algstr_0(X46)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])])).
cnf(c_0_58, negated_conjecture, (k1_funct_4(k8_polynom3(X1),k7_funct_4(u1_struct_0(X1),np__1,esk3_0,k4_algstr_0(X1,k5_struct_0(X1)),k5_struct_0(X1)))=k6_field_16(X1,esk3_0)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v1_group_1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_41]), c_0_42])).
cnf(c_0_59, plain, (k8_nat_1(X2,X1,X3)=k1_funct_1(X1,X3)|~v1_funct_1(X1)|~v1_funct_2(X1,k4_ordinal1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X2)))|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_60, negated_conjecture, (m1_subset_1(k6_field_16(esk1_0,esk3_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_53, c_0_39]), c_0_49])]), c_0_54])).
cnf(c_0_61, negated_conjecture, (v1_funct_2(k6_field_16(esk1_0,esk3_0),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_55, c_0_39]), c_0_49])]), c_0_54])).
cnf(c_0_62, negated_conjecture, (v1_funct_1(k6_field_16(esk1_0,esk3_0))), inference(sr,[status(thm)],[c_0_56, c_0_54])).
cnf(c_0_63, plain, (k1_funct_1(k1_funct_4(k8_polynom3(X1),k7_funct_4(u1_struct_0(X1),np__1,X2,k4_algstr_0(X1,k5_struct_0(X1)),k5_struct_0(X1))),X2)=k5_struct_0(X1)|v1_zfmisc_1(X2)|v2_struct_0(X1)|~v7_ordinal1(X2)|~v1_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_64, negated_conjecture, (k1_funct_4(k8_polynom3(esk1_0),k7_funct_4(u1_struct_0(esk1_0),np__1,esk3_0,k4_algstr_0(esk1_0,k5_struct_0(esk1_0)),k5_struct_0(esk1_0)))=k6_field_16(esk1_0,esk3_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_39]), c_0_49])]), c_0_54])).
fof(c_0_65, plain, ![X37]:(~m1_subset_1(X37,k4_ordinal1)|v7_ordinal1(X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_66, plain, ![X1]:(((~v2_struct_0(X1)&v1_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>~(((X2!=np__1&X2!=X3)&k1_funct_1(k1_funct_4(k8_polynom3(X1),k7_funct_4(u1_struct_0(X1),np__1,X3,k4_algstr_0(X1,k5_struct_0(X1)),k5_struct_0(X1))),X2)!=k4_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[l43_field_16])).
cnf(c_0_67, negated_conjecture, (k1_funct_1(k6_field_16(esk1_0,esk3_0),X1)=k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),X1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61]), c_0_62])])).
cnf(c_0_68, negated_conjecture, (k1_funct_1(k6_field_16(esk1_0,esk3_0),esk3_0)=k5_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_63, c_0_64]), c_0_41]), c_0_39]), c_0_49])]), c_0_54]), c_0_42])).
cnf(c_0_69, plain, (k1_funct_1(k1_funct_4(k8_polynom3(X1),k7_funct_4(u1_struct_0(X1),np__1,X2,k4_algstr_0(X1,k5_struct_0(X1)),k5_struct_0(X1))),np__1)=k4_algstr_0(X1,k5_struct_0(X1))|v1_zfmisc_1(X2)|v2_struct_0(X1)|~v7_ordinal1(X2)|~v1_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_70, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_71, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
fof(c_0_72, plain, ![X48, X49, X50]:(v2_struct_0(X48)|~v1_group_1(X48)|~l6_algstr_0(X48)|(~v7_ordinal1(X49)|(~v7_ordinal1(X50)|(X49=np__1|X49=X50|k1_funct_1(k1_funct_4(k8_polynom3(X48),k7_funct_4(u1_struct_0(X48),np__1,X50,k4_algstr_0(X48,k5_struct_0(X48)),k5_struct_0(X48))),X49)=k4_struct_0(X48))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])).
cnf(c_0_73, negated_conjecture, (v7_ordinal1(esk4_0)|k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),np__1)!=k4_algstr_0(esk1_0,k5_struct_0(esk1_0))|k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),esk3_0)!=k5_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_74, negated_conjecture, (k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),esk3_0)=k5_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_41])])).
cnf(c_0_75, negated_conjecture, (k1_funct_1(k6_field_16(esk1_0,esk3_0),np__1)=k4_algstr_0(esk1_0,k5_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_69, c_0_64]), c_0_41]), c_0_39]), c_0_49])]), c_0_54]), c_0_42])).
cnf(c_0_76, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_70, c_0_71])).
cnf(c_0_77, negated_conjecture, (esk4_0!=esk3_0|k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),np__1)!=k4_algstr_0(esk1_0,k5_struct_0(esk1_0))|k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),esk3_0)!=k5_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_78, negated_conjecture, (esk4_0!=np__1|k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),np__1)!=k4_algstr_0(esk1_0,k5_struct_0(esk1_0))|k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),esk3_0)!=k5_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_79, plain, (v2_struct_0(X1)|X2=np__1|X2=X3|k1_funct_1(k1_funct_4(k8_polynom3(X1),k7_funct_4(u1_struct_0(X1),np__1,X3,k4_algstr_0(X1,k5_struct_0(X1)),k5_struct_0(X1))),X2)=k4_struct_0(X1)|~v1_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_80, negated_conjecture, (v7_ordinal1(esk4_0)|k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),np__1)!=k4_algstr_0(esk1_0,k5_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73, c_0_74])])).
cnf(c_0_81, negated_conjecture, (k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),np__1)=k4_algstr_0(esk1_0,k5_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_75]), c_0_76])])).
cnf(c_0_82, negated_conjecture, (k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),np__1)!=k4_algstr_0(esk1_0,k5_struct_0(esk1_0))|esk4_0!=esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_74])])).
cnf(c_0_83, negated_conjecture, (k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),np__1)!=k4_algstr_0(esk1_0,k5_struct_0(esk1_0))|np__1!=esk4_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78, c_0_74])])).
cnf(c_0_84, negated_conjecture, (k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),esk4_0)!=k4_struct_0(esk1_0)|k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),np__1)!=k4_algstr_0(esk1_0,k5_struct_0(esk1_0))|k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),esk3_0)!=k5_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_85, negated_conjecture, (k1_funct_1(k6_field_16(esk1_0,esk3_0),X1)=k4_struct_0(esk1_0)|X1=esk3_0|X1=np__1|~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_79, c_0_64]), c_0_41]), c_0_39]), c_0_49])]), c_0_54])).
cnf(c_0_86, negated_conjecture, (v7_ordinal1(esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80, c_0_81])])).
cnf(c_0_87, negated_conjecture, (esk4_0!=esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_81])])).
cnf(c_0_88, negated_conjecture, (np__1!=esk4_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83, c_0_81])])).
cnf(c_0_89, negated_conjecture, (k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),np__1)!=k4_algstr_0(esk1_0,k5_struct_0(esk1_0))|k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),esk4_0)!=k4_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84, c_0_74])])).
cnf(c_0_90, negated_conjecture, (k1_funct_1(k6_field_16(esk1_0,esk3_0),esk4_0)=k4_struct_0(esk1_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_87]), c_0_88])).
cnf(c_0_91, negated_conjecture, (k8_nat_1(u1_struct_0(esk1_0),k6_field_16(esk1_0,esk3_0),esk4_0)!=k4_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_81])])).
cnf(c_0_92, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_90]), c_0_86])]), c_0_91]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 93
# Proof object clause steps            : 59
# Proof object formula steps           : 34
# Proof object conjectures             : 42
# Proof object clause conjectures      : 39
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 26
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 24
# Proof object simplifying inferences  : 65
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 30
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 30
# Processed clauses                    : 98
# ...of these trivial                  : 1
# ...subsumed                          : 2
# ...remaining for further processing  : 95
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 8
# Generated clauses                    : 110
# ...of the previous two non-trivial   : 110
# Contextual simplify-reflections      : 3
# Paramodulations                      : 109
# 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  : 84
#    Positive orientable unit clauses  : 17
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 61
# Current number of unprocessed clauses: 41
# ...number of literals in the above   : 141
# Current number of archived formulas  : 0
# Current number of archived clauses   : 11
# Clause-clause subsumption calls (NU) : 1701
# Rec. Clause-clause subsumption calls : 413
# Non-unit clause-clause subsumptions  : 7
# Unit Clause-clause subsumption calls : 206
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 11
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 6740

# -------------------------------------------------
# User time                : 0.020 s
# System time              : 0.004 s
# Total time               : 0.024 s
# Maximum resident set size: 3576 pages
