# 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       : 0.029 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d1_field_16, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>![X2]:(((v1_funct_1(X2)&v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>![X3]:(v7_ordinal1(X3)=>![X4]:(((v1_funct_1(X4)&v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>(X4=k2_field_16(X1,X2,X3)<=>?[X5]:((((v5_relat_1(X5,k1_aimloop(X1,X1))&m1_field_12(X5))&r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),X4,k1_field_16(X1,X1,X5,X3)))&r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k1_field_16(X1,X1,X5,k5_numbers),k3_struct_0(X1)))&![X6]:(v7_ordinal1(X6)=>r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k1_field_16(X1,X1,X5,k1_nat_1(X6,np__1)),k1_partfun1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,k1_field_16(X1,X1,X5,X6)))))))))), file('field_16/field_16__t1_field_16', d1_field_16)).
fof(dt_k2_field_16, axiom, ![X1, X2, X3]:((((((~(v2_struct_0(X1))&l1_struct_0(X1))&v1_funct_1(X2))&v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))&v7_ordinal1(X3))=>((v1_funct_1(k2_field_16(X1,X2,X3))&v1_funct_2(k2_field_16(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k2_field_16(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), file('field_16/field_16__t1_field_16', dt_k2_field_16)).
fof(t1_field_16, conjecture, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>![X2]:(((v1_funct_1(X2)&v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>((r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k2_field_16(X1,X2,k5_numbers),k3_struct_0(X1))&r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k2_field_16(X1,X2,np__1),X2))&r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k2_field_16(X1,X2,np__2),k1_partfun1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,X2))))), file('field_16/field_16__t1_field_16', t1_field_16)).
fof(rd1_field_16, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&l1_struct_0(X1))&v1_funct_1(X2))&v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>k2_field_16(X1,X2,np__1)=X2), file('field_16/field_16__t1_field_16', rd1_field_16)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('field_16/field_16__t1_field_16', cc8_ordinal1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('field_16/field_16__t1_field_16', spc1_numerals)).
fof(redefinition_r2_funct_2, axiom, ![X1, X2, X3, X4]:((((((v1_funct_1(X3)&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&v1_funct_1(X4))&v1_funct_2(X4,X1,X2))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>(r2_funct_2(X1,X2,X3,X4)<=>X3=X4)), file('field_16/field_16__t1_field_16', redefinition_r2_funct_2)).
fof(dt_k1_field_16, axiom, ![X1, X2, X3, X4]:(((((((~(v2_struct_0(X1))&l1_struct_0(X1))&~(v2_struct_0(X2)))&l1_struct_0(X2))&v5_relat_1(X3,k1_aimloop(X1,X2)))&m1_field_12(X3))&v7_ordinal1(X4))=>((v1_funct_1(k1_field_16(X1,X2,X3,X4))&v1_funct_2(k1_field_16(X1,X2,X3,X4),u1_struct_0(X1),u1_struct_0(X2)))&m1_subset_1(k1_field_16(X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))))), file('field_16/field_16__t1_field_16', dt_k1_field_16)).
fof(dt_k3_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>((v1_funct_1(k3_struct_0(X1))&v1_funct_2(k3_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k3_struct_0(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), file('field_16/field_16__t1_field_16', dt_k3_struct_0)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('field_16/field_16__t1_field_16', fc8_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('field_16/field_16__t1_field_16', redefinition_k5_numbers)).
fof(redefinition_k1_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&m1_subset_1(X2,k4_ordinal1))=>k1_nat_1(X1,X2)=k2_xcmplx_0(X1,X2)), file('field_16/field_16__t1_field_16', redefinition_k1_nat_1)).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(np__1,np__1)=np__2, file('field_16/field_16__t1_field_16', rqRealAdd__k2_xcmplx_0__r1_r1_r2)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('field_16/field_16__t1_field_16', spc2_numerals)).
fof(c_0_14, plain, ![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>![X2]:(((v1_funct_1(X2)&v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>![X3]:(v7_ordinal1(X3)=>![X4]:(((v1_funct_1(X4)&v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>(X4=k2_field_16(X1,X2,X3)<=>?[X5]:((((v5_relat_1(X5,k1_aimloop(X1,X1))&m1_field_12(X5))&r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),X4,k1_field_16(X1,X1,X5,X3)))&r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k1_field_16(X1,X1,X5,k5_numbers),k3_struct_0(X1)))&![X6]:(v7_ordinal1(X6)=>r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k1_field_16(X1,X1,X5,k1_nat_1(X6,np__1)),k1_partfun1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,k1_field_16(X1,X1,X5,X6)))))))))), inference(fof_simplification,[status(thm)],[d1_field_16])).
fof(c_0_15, plain, ![X1, X2, X3]:((((((~v2_struct_0(X1)&l1_struct_0(X1))&v1_funct_1(X2))&v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))&v7_ordinal1(X3))=>((v1_funct_1(k2_field_16(X1,X2,X3))&v1_funct_2(k2_field_16(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k2_field_16(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k2_field_16])).
fof(c_0_16, plain, ![X39, X40, X41, X42, X44, X45]:((((((v5_relat_1(esk3_4(X39,X40,X41,X42),k1_aimloop(X39,X39))|X42!=k2_field_16(X39,X40,X41)|(~v1_funct_1(X42)|~v1_funct_2(X42,u1_struct_0(X39),u1_struct_0(X39))|~m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X39),u1_struct_0(X39)))))|~v7_ordinal1(X41)|(~v1_funct_1(X40)|~v1_funct_2(X40,u1_struct_0(X39),u1_struct_0(X39))|~m1_subset_1(X40,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X39),u1_struct_0(X39)))))|(v2_struct_0(X39)|~l1_struct_0(X39)))&(m1_field_12(esk3_4(X39,X40,X41,X42))|X42!=k2_field_16(X39,X40,X41)|(~v1_funct_1(X42)|~v1_funct_2(X42,u1_struct_0(X39),u1_struct_0(X39))|~m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X39),u1_struct_0(X39)))))|~v7_ordinal1(X41)|(~v1_funct_1(X40)|~v1_funct_2(X40,u1_struct_0(X39),u1_struct_0(X39))|~m1_subset_1(X40,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X39),u1_struct_0(X39)))))|(v2_struct_0(X39)|~l1_struct_0(X39))))&(r2_funct_2(u1_struct_0(X39),u1_struct_0(X39),X42,k1_field_16(X39,X39,esk3_4(X39,X40,X41,X42),X41))|X42!=k2_field_16(X39,X40,X41)|(~v1_funct_1(X42)|~v1_funct_2(X42,u1_struct_0(X39),u1_struct_0(X39))|~m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X39),u1_struct_0(X39)))))|~v7_ordinal1(X41)|(~v1_funct_1(X40)|~v1_funct_2(X40,u1_struct_0(X39),u1_struct_0(X39))|~m1_subset_1(X40,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X39),u1_struct_0(X39)))))|(v2_struct_0(X39)|~l1_struct_0(X39))))&(r2_funct_2(u1_struct_0(X39),u1_struct_0(X39),k1_field_16(X39,X39,esk3_4(X39,X40,X41,X42),k5_numbers),k3_struct_0(X39))|X42!=k2_field_16(X39,X40,X41)|(~v1_funct_1(X42)|~v1_funct_2(X42,u1_struct_0(X39),u1_struct_0(X39))|~m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X39),u1_struct_0(X39)))))|~v7_ordinal1(X41)|(~v1_funct_1(X40)|~v1_funct_2(X40,u1_struct_0(X39),u1_struct_0(X39))|~m1_subset_1(X40,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X39),u1_struct_0(X39)))))|(v2_struct_0(X39)|~l1_struct_0(X39))))&(~v7_ordinal1(X44)|r2_funct_2(u1_struct_0(X39),u1_struct_0(X39),k1_field_16(X39,X39,esk3_4(X39,X40,X41,X42),k1_nat_1(X44,np__1)),k1_partfun1(u1_struct_0(X39),u1_struct_0(X39),u1_struct_0(X39),u1_struct_0(X39),X40,k1_field_16(X39,X39,esk3_4(X39,X40,X41,X42),X44)))|X42!=k2_field_16(X39,X40,X41)|(~v1_funct_1(X42)|~v1_funct_2(X42,u1_struct_0(X39),u1_struct_0(X39))|~m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X39),u1_struct_0(X39)))))|~v7_ordinal1(X41)|(~v1_funct_1(X40)|~v1_funct_2(X40,u1_struct_0(X39),u1_struct_0(X39))|~m1_subset_1(X40,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X39),u1_struct_0(X39)))))|(v2_struct_0(X39)|~l1_struct_0(X39))))&((v7_ordinal1(esk4_5(X39,X40,X41,X42,X45))|(~v5_relat_1(X45,k1_aimloop(X39,X39))|~m1_field_12(X45)|~r2_funct_2(u1_struct_0(X39),u1_struct_0(X39),X42,k1_field_16(X39,X39,X45,X41))|~r2_funct_2(u1_struct_0(X39),u1_struct_0(X39),k1_field_16(X39,X39,X45,k5_numbers),k3_struct_0(X39)))|X42=k2_field_16(X39,X40,X41)|(~v1_funct_1(X42)|~v1_funct_2(X42,u1_struct_0(X39),u1_struct_0(X39))|~m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X39),u1_struct_0(X39)))))|~v7_ordinal1(X41)|(~v1_funct_1(X40)|~v1_funct_2(X40,u1_struct_0(X39),u1_struct_0(X39))|~m1_subset_1(X40,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X39),u1_struct_0(X39)))))|(v2_struct_0(X39)|~l1_struct_0(X39)))&(~r2_funct_2(u1_struct_0(X39),u1_struct_0(X39),k1_field_16(X39,X39,X45,k1_nat_1(esk4_5(X39,X40,X41,X42,X45),np__1)),k1_partfun1(u1_struct_0(X39),u1_struct_0(X39),u1_struct_0(X39),u1_struct_0(X39),X40,k1_field_16(X39,X39,X45,esk4_5(X39,X40,X41,X42,X45))))|(~v5_relat_1(X45,k1_aimloop(X39,X39))|~m1_field_12(X45)|~r2_funct_2(u1_struct_0(X39),u1_struct_0(X39),X42,k1_field_16(X39,X39,X45,X41))|~r2_funct_2(u1_struct_0(X39),u1_struct_0(X39),k1_field_16(X39,X39,X45,k5_numbers),k3_struct_0(X39)))|X42=k2_field_16(X39,X40,X41)|(~v1_funct_1(X42)|~v1_funct_2(X42,u1_struct_0(X39),u1_struct_0(X39))|~m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X39),u1_struct_0(X39)))))|~v7_ordinal1(X41)|(~v1_funct_1(X40)|~v1_funct_2(X40,u1_struct_0(X39),u1_struct_0(X39))|~m1_subset_1(X40,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X39),u1_struct_0(X39)))))|(v2_struct_0(X39)|~l1_struct_0(X39))))), 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_14])])])])])).
fof(c_0_17, plain, ![X51, X52, X53]:(((v1_funct_1(k2_field_16(X51,X52,X53))|(v2_struct_0(X51)|~l1_struct_0(X51)|~v1_funct_1(X52)|~v1_funct_2(X52,u1_struct_0(X51),u1_struct_0(X51))|~m1_subset_1(X52,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X51),u1_struct_0(X51))))|~v7_ordinal1(X53)))&(v1_funct_2(k2_field_16(X51,X52,X53),u1_struct_0(X51),u1_struct_0(X51))|(v2_struct_0(X51)|~l1_struct_0(X51)|~v1_funct_1(X52)|~v1_funct_2(X52,u1_struct_0(X51),u1_struct_0(X51))|~m1_subset_1(X52,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X51),u1_struct_0(X51))))|~v7_ordinal1(X53))))&(m1_subset_1(k2_field_16(X51,X52,X53),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X51),u1_struct_0(X51))))|(v2_struct_0(X51)|~l1_struct_0(X51)|~v1_funct_1(X52)|~v1_funct_2(X52,u1_struct_0(X51),u1_struct_0(X51))|~m1_subset_1(X52,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X51),u1_struct_0(X51))))|~v7_ordinal1(X53)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
fof(c_0_18, negated_conjecture, ~(![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>![X2]:(((v1_funct_1(X2)&v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>((r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k2_field_16(X1,X2,k5_numbers),k3_struct_0(X1))&r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k2_field_16(X1,X2,np__1),X2))&r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k2_field_16(X1,X2,np__2),k1_partfun1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,X2)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t1_field_16])])).
fof(c_0_19, plain, ![X1, X2]:(((((~v2_struct_0(X1)&l1_struct_0(X1))&v1_funct_1(X2))&v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>k2_field_16(X1,X2,np__1)=X2), inference(fof_simplification,[status(thm)],[rd1_field_16])).
cnf(c_0_20, plain, (r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k1_field_16(X1,X1,esk3_4(X1,X2,X3,X4),k5_numbers),k3_struct_0(X1))|v2_struct_0(X1)|X4!=k2_field_16(X1,X2,X3)|~v1_funct_1(X4)|~v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v7_ordinal1(X3)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_21, plain, (v1_funct_1(k2_field_16(X1,X2,X3))|v2_struct_0(X1)|~l1_struct_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_22, plain, (v1_funct_2(k2_field_16(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X1))|v2_struct_0(X1)|~l1_struct_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_23, plain, (m1_subset_1(k2_field_16(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|v2_struct_0(X1)|~l1_struct_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_17])).
fof(c_0_24, negated_conjecture, ((~v2_struct_0(esk1_0)&l1_struct_0(esk1_0))&(((v1_funct_1(esk2_0)&v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)))&m1_subset_1(esk2_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)))))&(~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,k5_numbers),k3_struct_0(esk1_0))|~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,np__1),esk2_0)|~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,np__2),k1_partfun1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
fof(c_0_25, plain, ![X55, X56]:(v2_struct_0(X55)|~l1_struct_0(X55)|~v1_funct_1(X56)|~v1_funct_2(X56,u1_struct_0(X55),u1_struct_0(X55))|~m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X55),u1_struct_0(X55))))|k2_field_16(X55,X56,np__1)=X56), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])).
fof(c_0_26, plain, ![X38]:(~m1_subset_1(X38,k4_ordinal1)|v7_ordinal1(X38)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_27, plain, (r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k1_field_16(X1,X1,esk3_4(X1,X2,X3,k2_field_16(X1,X2,X3)),k5_numbers),k3_struct_0(X1))|v2_struct_0(X1)|~v7_ordinal1(X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~v1_funct_1(X2)|~l1_struct_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_20]), c_0_21]), c_0_22]), c_0_23])).
cnf(c_0_28, negated_conjecture, (v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_29, negated_conjecture, (m1_subset_1(esk2_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_30, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_31, negated_conjecture, (l1_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_32, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_33, plain, (v2_struct_0(X1)|k2_field_16(X1,X2,np__1)=X2|~l1_struct_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_34, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_35, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_36, plain, (v5_relat_1(esk3_4(X1,X2,X3,X4),k1_aimloop(X1,X1))|v2_struct_0(X1)|X4!=k2_field_16(X1,X2,X3)|~v1_funct_1(X4)|~v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v7_ordinal1(X3)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_37, plain, (m1_field_12(esk3_4(X1,X2,X3,X4))|v2_struct_0(X1)|X4!=k2_field_16(X1,X2,X3)|~v1_funct_1(X4)|~v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v7_ordinal1(X3)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_38, plain, ![X63, X64, X65, X66]:((~r2_funct_2(X63,X64,X65,X66)|X65=X66|(~v1_funct_1(X65)|~v1_funct_2(X65,X63,X64)|~m1_subset_1(X65,k1_zfmisc_1(k2_zfmisc_1(X63,X64)))|~v1_funct_1(X66)|~v1_funct_2(X66,X63,X64)|~m1_subset_1(X66,k1_zfmisc_1(k2_zfmisc_1(X63,X64)))))&(X65!=X66|r2_funct_2(X63,X64,X65,X66)|(~v1_funct_1(X65)|~v1_funct_2(X65,X63,X64)|~m1_subset_1(X65,k1_zfmisc_1(k2_zfmisc_1(X63,X64)))|~v1_funct_1(X66)|~v1_funct_2(X66,X63,X64)|~m1_subset_1(X66,k1_zfmisc_1(k2_zfmisc_1(X63,X64)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_funct_2])])])).
cnf(c_0_39, negated_conjecture, (r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),k5_numbers),k3_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_27, c_0_28]), c_0_29]), c_0_30]), c_0_31])]), c_0_32])).
cnf(c_0_40, negated_conjecture, (k2_field_16(esk1_0,esk2_0,np__1)=esk2_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_33, c_0_28]), c_0_29]), c_0_30]), c_0_31])]), c_0_32])).
cnf(c_0_41, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_34, c_0_35])).
fof(c_0_42, plain, ![X1, X2, X3, X4]:(((((((~v2_struct_0(X1)&l1_struct_0(X1))&~v2_struct_0(X2))&l1_struct_0(X2))&v5_relat_1(X3,k1_aimloop(X1,X2)))&m1_field_12(X3))&v7_ordinal1(X4))=>((v1_funct_1(k1_field_16(X1,X2,X3,X4))&v1_funct_2(k1_field_16(X1,X2,X3,X4),u1_struct_0(X1),u1_struct_0(X2)))&m1_subset_1(k1_field_16(X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))))), inference(fof_simplification,[status(thm)],[dt_k1_field_16])).
cnf(c_0_43, plain, (v5_relat_1(esk3_4(X1,X2,X3,k2_field_16(X1,X2,X3)),k1_aimloop(X1,X1))|v2_struct_0(X1)|~v7_ordinal1(X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~v1_funct_1(X2)|~l1_struct_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_36]), c_0_21]), c_0_22]), c_0_23])).
cnf(c_0_44, plain, (m1_field_12(esk3_4(X1,X2,X3,k2_field_16(X1,X2,X3)))|v2_struct_0(X1)|~v7_ordinal1(X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~v1_funct_1(X2)|~l1_struct_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_37]), c_0_21]), c_0_22]), c_0_23])).
cnf(c_0_45, plain, (X3=X4|~r2_funct_2(X1,X2,X3,X4)|~v1_funct_1(X3)|~v1_funct_2(X3,X1,X2)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~v1_funct_1(X4)|~v1_funct_2(X4,X1,X2)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_46, negated_conjecture, (r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers),k3_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])])).
fof(c_0_47, plain, ![X54]:(((v1_funct_1(k3_struct_0(X54))|~l1_struct_0(X54))&(v1_funct_2(k3_struct_0(X54),u1_struct_0(X54),u1_struct_0(X54))|~l1_struct_0(X54)))&(m1_subset_1(k3_struct_0(X54),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X54),u1_struct_0(X54))))|~l1_struct_0(X54))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_struct_0])])])).
fof(c_0_48, plain, ![X47, X48, X49, X50]:(((v1_funct_1(k1_field_16(X47,X48,X49,X50))|(v2_struct_0(X47)|~l1_struct_0(X47)|v2_struct_0(X48)|~l1_struct_0(X48)|~v5_relat_1(X49,k1_aimloop(X47,X48))|~m1_field_12(X49)|~v7_ordinal1(X50)))&(v1_funct_2(k1_field_16(X47,X48,X49,X50),u1_struct_0(X47),u1_struct_0(X48))|(v2_struct_0(X47)|~l1_struct_0(X47)|v2_struct_0(X48)|~l1_struct_0(X48)|~v5_relat_1(X49,k1_aimloop(X47,X48))|~m1_field_12(X49)|~v7_ordinal1(X50))))&(m1_subset_1(k1_field_16(X47,X48,X49,X50),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X47),u1_struct_0(X48))))|(v2_struct_0(X47)|~l1_struct_0(X47)|v2_struct_0(X48)|~l1_struct_0(X48)|~v5_relat_1(X49,k1_aimloop(X47,X48))|~m1_field_12(X49)|~v7_ordinal1(X50)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])).
cnf(c_0_49, negated_conjecture, (v5_relat_1(esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),k1_aimloop(esk1_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_43, c_0_28]), c_0_29]), c_0_30]), c_0_31])]), c_0_32])).
cnf(c_0_50, negated_conjecture, (m1_field_12(esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)))|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_28]), c_0_29]), c_0_30]), c_0_31])]), c_0_32])).
cnf(c_0_51, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers)=k3_struct_0(esk1_0)|~m1_subset_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~m1_subset_1(k3_struct_0(esk1_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v1_funct_2(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers),u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v1_funct_2(k3_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v1_funct_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers))|~v1_funct_1(k3_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
cnf(c_0_52, plain, (v1_funct_2(k3_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_53, plain, (v1_funct_2(k1_field_16(X1,X2,X3,X4),u1_struct_0(X1),u1_struct_0(X2))|v2_struct_0(X1)|v2_struct_0(X2)|~l1_struct_0(X1)|~l1_struct_0(X2)|~v5_relat_1(X3,k1_aimloop(X1,X2))|~m1_field_12(X3)|~v7_ordinal1(X4)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_54, negated_conjecture, (v5_relat_1(esk3_4(esk1_0,esk2_0,np__1,esk2_0),k1_aimloop(esk1_0,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_40]), c_0_41])])).
cnf(c_0_55, negated_conjecture, (m1_field_12(esk3_4(esk1_0,esk2_0,np__1,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_40]), c_0_41])])).
cnf(c_0_56, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_57, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_58, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers)=k3_struct_0(esk1_0)|~m1_subset_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~m1_subset_1(k3_struct_0(esk1_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v1_funct_2(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers),u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v1_funct_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers))|~v1_funct_1(k3_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_31])])).
cnf(c_0_59, negated_conjecture, (v1_funct_2(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),X1),u1_struct_0(esk1_0),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(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55]), c_0_31])]), c_0_32])).
cnf(c_0_60, plain, (v7_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_56, c_0_57])).
cnf(c_0_61, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers)=k3_struct_0(esk1_0)|~m1_subset_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~m1_subset_1(k3_struct_0(esk1_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v1_funct_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers))|~v1_funct_1(k3_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_60])])).
cnf(c_0_62, plain, (v1_funct_1(k3_struct_0(X1))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_63, plain, (v1_funct_1(k1_field_16(X1,X2,X3,X4))|v2_struct_0(X1)|v2_struct_0(X2)|~l1_struct_0(X1)|~l1_struct_0(X2)|~v5_relat_1(X3,k1_aimloop(X1,X2))|~m1_field_12(X3)|~v7_ordinal1(X4)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_64, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers)=k3_struct_0(esk1_0)|~m1_subset_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~m1_subset_1(k3_struct_0(esk1_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v1_funct_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_31])])).
cnf(c_0_65, negated_conjecture, (v1_funct_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),X1))|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_54]), c_0_55]), c_0_31])]), c_0_32])).
cnf(c_0_66, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers)=k3_struct_0(esk1_0)|~m1_subset_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~m1_subset_1(k3_struct_0(esk1_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_60])])).
cnf(c_0_67, plain, (m1_subset_1(k3_struct_0(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_68, plain, (m1_subset_1(k1_field_16(X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2))))|v2_struct_0(X1)|v2_struct_0(X2)|~l1_struct_0(X1)|~l1_struct_0(X2)|~v5_relat_1(X3,k1_aimloop(X1,X2))|~m1_field_12(X3)|~v7_ordinal1(X4)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_69, plain, (r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),X2,k1_field_16(X1,X1,esk3_4(X1,X3,X4,X2),X4))|v2_struct_0(X1)|X2!=k2_field_16(X1,X3,X4)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v7_ordinal1(X4)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_70, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers)=k3_struct_0(esk1_0)|~m1_subset_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_31])])).
cnf(c_0_71, negated_conjecture, (m1_subset_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),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(spm,[status(thm)],[c_0_68, c_0_54]), c_0_55]), c_0_31])]), c_0_32])).
cnf(c_0_72, plain, (r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k2_field_16(X1,X2,X3),k1_field_16(X1,X1,esk3_4(X1,X2,X3,k2_field_16(X1,X2,X3)),X3))|v2_struct_0(X1)|~v7_ordinal1(X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~v1_funct_1(X2)|~l1_struct_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_69]), c_0_21]), c_0_22]), c_0_23])).
cnf(c_0_73, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__1,esk2_0),k5_numbers)=k3_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_60])])).
cnf(c_0_74, negated_conjecture, (r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,X1),k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),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(spm,[status(thm)],[c_0_72, c_0_28]), c_0_29]), c_0_30]), c_0_31])]), c_0_32])).
cnf(c_0_75, negated_conjecture, (v1_funct_1(k2_field_16(esk1_0,esk2_0,X1))|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_28]), c_0_29]), c_0_30]), c_0_31])]), c_0_32])).
cnf(c_0_76, negated_conjecture, (v1_funct_2(k2_field_16(esk1_0,esk2_0,X1),u1_struct_0(esk1_0),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_22, c_0_28]), c_0_29]), c_0_30]), c_0_31])]), c_0_32])).
cnf(c_0_77, negated_conjecture, (m1_subset_1(k2_field_16(esk1_0,esk2_0,X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),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_23, c_0_28]), c_0_29]), c_0_30]), c_0_31])]), c_0_32])).
cnf(c_0_78, negated_conjecture, (m1_subset_1(k3_struct_0(esk1_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_73]), c_0_60])])).
cnf(c_0_79, negated_conjecture, (v1_funct_2(k3_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_73]), c_0_60])])).
cnf(c_0_80, negated_conjecture, (v1_funct_1(k3_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_73]), c_0_60])])).
cnf(c_0_81, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X1)=k2_field_16(esk1_0,esk2_0,X1)|~v7_ordinal1(X1)|~m1_subset_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v1_funct_2(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X1),u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v1_funct_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_74]), c_0_75]), c_0_76]), c_0_77])).
cnf(c_0_82, negated_conjecture, (v1_funct_2(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X2),u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_49]), c_0_31])]), c_0_32]), c_0_50])).
cnf(c_0_83, plain, (r2_funct_2(X3,X4,X1,X2)|X1!=X2|~v1_funct_1(X1)|~v1_funct_2(X1,X3,X4)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))|~v1_funct_1(X2)|~v1_funct_2(X2,X3,X4)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_84, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),k5_numbers)=k3_struct_0(esk1_0)|~v7_ordinal1(X1)|~m1_subset_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v1_funct_2(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),k5_numbers),u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v1_funct_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),k5_numbers))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_39]), c_0_78]), c_0_79]), c_0_80])])).
cnf(c_0_85, plain, (r2_funct_2(u1_struct_0(X2),u1_struct_0(X2),k1_field_16(X2,X2,esk3_4(X2,X3,X4,X5),k1_nat_1(X1,np__1)),k1_partfun1(u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X2),X3,k1_field_16(X2,X2,esk3_4(X2,X3,X4,X5),X1)))|v2_struct_0(X2)|~v7_ordinal1(X1)|X5!=k2_field_16(X2,X3,X4)|~v1_funct_1(X5)|~v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X2))|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2))))|~v7_ordinal1(X4)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X2))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2))))|~l1_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_86, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X1)=k2_field_16(esk1_0,esk2_0,X1)|~v7_ordinal1(X1)|~m1_subset_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v1_funct_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X1))), inference(spm,[status(thm)],[c_0_81, c_0_82])).
cnf(c_0_87, negated_conjecture, (v1_funct_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_49]), c_0_31])]), c_0_32]), c_0_50])).
fof(c_0_88, plain, ![X61, X62]:(~v7_ordinal1(X61)|~m1_subset_1(X62,k4_ordinal1)|k1_nat_1(X61,X62)=k2_xcmplx_0(X61,X62)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_nat_1])])).
cnf(c_0_89, plain, (v7_ordinal1(esk4_5(X1,X2,X3,X4,X5))|X4=k2_field_16(X1,X2,X3)|v2_struct_0(X1)|~v5_relat_1(X5,k1_aimloop(X1,X1))|~m1_field_12(X5)|~r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),X4,k1_field_16(X1,X1,X5,X3))|~r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k1_field_16(X1,X1,X5,k5_numbers),k3_struct_0(X1))|~v1_funct_1(X4)|~v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v7_ordinal1(X3)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_90, plain, (r2_funct_2(X1,X2,X3,X3)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~v1_funct_2(X3,X1,X2)|~v1_funct_1(X3)), inference(er,[status(thm)],[c_0_83])).
cnf(c_0_91, negated_conjecture, (m1_subset_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X2),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_49]), c_0_31])]), c_0_32]), c_0_50])).
cnf(c_0_92, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),k5_numbers)=k3_struct_0(esk1_0)|~v7_ordinal1(X1)|~m1_subset_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v1_funct_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),k5_numbers))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_82]), c_0_60])])).
cnf(c_0_93, plain, (r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k1_field_16(X1,X1,esk3_4(X1,X2,X3,k2_field_16(X1,X2,X3)),k1_nat_1(X4,np__1)),k1_partfun1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,k1_field_16(X1,X1,esk3_4(X1,X2,X3,k2_field_16(X1,X2,X3)),X4)))|v2_struct_0(X1)|~v7_ordinal1(X3)|~v7_ordinal1(X4)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~v1_funct_1(X2)|~l1_struct_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_85]), c_0_21]), c_0_22]), c_0_23])).
cnf(c_0_94, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X1)=k2_field_16(esk1_0,esk2_0,X1)|~v7_ordinal1(X1)|~m1_subset_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))), inference(spm,[status(thm)],[c_0_86, c_0_87])).
cnf(c_0_95, plain, (k1_nat_1(X1,X2)=k2_xcmplx_0(X1,X2)|~v7_ordinal1(X1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_96, plain, (X5=k2_field_16(X1,X3,X4)|v2_struct_0(X1)|~r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k1_field_16(X1,X1,X2,k1_nat_1(esk4_5(X1,X3,X4,X5,X2),np__1)),k1_partfun1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X3,k1_field_16(X1,X1,X2,esk4_5(X1,X3,X4,X5,X2))))|~v5_relat_1(X2,k1_aimloop(X1,X1))|~m1_field_12(X2)|~r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),X5,k1_field_16(X1,X1,X2,X4))|~r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k1_field_16(X1,X1,X2,k5_numbers),k3_struct_0(X1))|~v1_funct_1(X5)|~v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v7_ordinal1(X4)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_97, negated_conjecture, (X1=k2_field_16(esk1_0,X2,X3)|v7_ordinal1(esk4_5(esk1_0,X2,X3,X1,esk3_4(esk1_0,esk2_0,X4,k2_field_16(esk1_0,esk2_0,X4))))|~v7_ordinal1(X3)|~v7_ordinal1(X4)|~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),X1,k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X4,k2_field_16(esk1_0,esk2_0,X4)),X3))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v1_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v1_funct_2(X2,u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v1_funct_1(X1)|~v1_funct_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_49]), c_0_31])]), c_0_32]), c_0_39]), c_0_50])).
cnf(c_0_98, negated_conjecture, (r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X2),k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_82]), c_0_87]), c_0_91])).
cnf(c_0_99, negated_conjecture, (~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,k5_numbers),k3_struct_0(esk1_0))|~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,np__1),esk2_0)|~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,np__2),k1_partfun1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_100, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),k5_numbers)=k3_struct_0(esk1_0)|~v7_ordinal1(X1)|~m1_subset_1(k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),k5_numbers),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_87]), c_0_60])])).
cnf(c_0_101, negated_conjecture, (r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),k1_nat_1(X2,np__1)),k1_partfun1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X2)))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), 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_93, c_0_28]), c_0_29]), c_0_30]), c_0_31])]), c_0_32])).
cnf(c_0_102, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X1)=k2_field_16(esk1_0,esk2_0,X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_94, c_0_91])).
cnf(c_0_103, plain, (k2_xcmplx_0(np__1,np__1)=np__2), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r1_r1_r2])).
cnf(c_0_104, plain, (k2_xcmplx_0(X1,np__1)=k1_nat_1(X1,np__1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_95, c_0_35])).
cnf(c_0_105, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_106, negated_conjecture, (X1=k2_field_16(esk1_0,X2,X3)|~v7_ordinal1(X3)|~v7_ordinal1(X4)|~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X4,k2_field_16(esk1_0,esk2_0,X4)),k1_nat_1(esk4_5(esk1_0,X2,X3,X1,esk3_4(esk1_0,esk2_0,X4,k2_field_16(esk1_0,esk2_0,X4))),np__1)),k1_partfun1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),X2,k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X4,k2_field_16(esk1_0,esk2_0,X4)),esk4_5(esk1_0,X2,X3,X1,esk3_4(esk1_0,esk2_0,X4,k2_field_16(esk1_0,esk2_0,X4))))))|~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),X1,k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X4,k2_field_16(esk1_0,esk2_0,X4)),X3))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v1_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v1_funct_2(X2,u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v1_funct_1(X1)|~v1_funct_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_49]), c_0_31])]), c_0_32]), c_0_39]), c_0_50])).
cnf(c_0_107, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X2)=k2_field_16(esk1_0,X3,X2)|v7_ordinal1(esk4_5(esk1_0,X3,X2,k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X2),esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1))))|~v7_ordinal1(X2)|~v7_ordinal1(X1)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v1_funct_2(X3,u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v1_funct_1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_98]), c_0_87]), c_0_82]), c_0_91])).
cnf(c_0_108, negated_conjecture, (~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,np__2),k1_partfun1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,esk2_0))|~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,k5_numbers),k3_struct_0(esk1_0))|~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,esk2_0)), inference(rw,[status(thm)],[c_0_99, c_0_40])).
cnf(c_0_109, negated_conjecture, (r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_28]), c_0_29]), c_0_30])])).
cnf(c_0_110, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),k5_numbers)=k3_struct_0(esk1_0)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_91]), c_0_60])])).
cnf(c_0_111, negated_conjecture, (r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,k1_nat_1(X1,np__1)),k1_partfun1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,k1_nat_1(X1,np__1),k2_field_16(esk1_0,esk2_0,k1_nat_1(X1,np__1))),X1)))|~v7_ordinal1(k1_nat_1(X1,np__1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_101, c_0_102])).
cnf(c_0_112, plain, (k1_nat_1(np__1,np__1)=np__2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_104]), c_0_41])])).
cnf(c_0_113, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_34, c_0_105])).
cnf(c_0_114, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X2)=k2_field_16(esk1_0,X3,X2)|~v7_ordinal1(X2)|~v7_ordinal1(X1)|~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),k1_nat_1(esk4_5(esk1_0,X3,X2,k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X2),esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1))),np__1)),k1_partfun1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),X3,k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),esk4_5(esk1_0,X3,X2,k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X2),esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1))))))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v1_funct_2(X3,u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v1_funct_1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_98]), c_0_87]), c_0_82]), c_0_91])).
cnf(c_0_115, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X2)=k2_field_16(esk1_0,esk2_0,X2)|v7_ordinal1(esk4_5(esk1_0,esk2_0,X2,k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X2),esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1))))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_28]), c_0_29]), c_0_30])])).
cnf(c_0_116, negated_conjecture, (~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,np__2),k1_partfun1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,esk2_0))|~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,k5_numbers),k3_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108, c_0_109])])).
cnf(c_0_117, negated_conjecture, (r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,k5_numbers),k3_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_110]), c_0_60])])).
cnf(c_0_118, negated_conjecture, (r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,np__2),k1_partfun1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,np__2,k2_field_16(esk1_0,esk2_0,np__2)),np__1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_112]), c_0_113]), c_0_41])])).
cnf(c_0_119, negated_conjecture, (k1_field_16(esk1_0,esk1_0,esk3_4(esk1_0,esk2_0,X1,k2_field_16(esk1_0,esk2_0,X1)),X2)=k2_field_16(esk1_0,esk2_0,X2)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_101]), c_0_29]), c_0_28]), c_0_30])]), c_0_115])).
cnf(c_0_120, negated_conjecture, (~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_field_16(esk1_0,esk2_0,np__2),k1_partfun1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116, c_0_117])])).
cnf(c_0_121, negated_conjecture, ($false), 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_118, c_0_119]), c_0_40]), c_0_41]), c_0_113])]), c_0_120]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 122
# Proof object clause steps            : 94
# Proof object formula steps           : 28
# Proof object conjectures             : 60
# Proof object clause conjectures      : 57
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 32
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 52
# Proof object simplifying inferences  : 174
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 15
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 35
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 35
# Processed clauses                    : 5398
# ...of these trivial                  : 21
# ...subsumed                          : 4204
# ...remaining for further processing  : 1173
# Other redundant clauses eliminated   : 6
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 150
# Backward-rewritten                   : 20
# Generated clauses                    : 12997
# ...of the previous two non-trivial   : 12179
# Contextual simplify-reflections      : 1079
# Paramodulations                      : 12991
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 6
# 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  : 962
#    Positive orientable unit clauses  : 47
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 913
# Current number of unprocessed clauses: 6705
# ...number of literals in the above   : 62345
# Current number of archived formulas  : 0
# Current number of archived clauses   : 205
# Clause-clause subsumption calls (NU) : 1066273
# Rec. Clause-clause subsumption calls : 224004
# Non-unit clause-clause subsumptions  : 5433
# Unit Clause-clause subsumption calls : 1636
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 889
# BW rewrite match successes           : 10
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 1159710

# -------------------------------------------------
# User time                : 0.651 s
# System time              : 0.020 s
# Total time               : 0.671 s
# Maximum resident set size: 3364 pages
