# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_l1_algstr_0, axiom, ![X1]:(l1_algstr_0(X1)=>l1_struct_0(X1)), file('field_16/field_16__t26_field_16', dt_l1_algstr_0)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('field_16/field_16__t26_field_16', dt_l2_algstr_0)).
fof(d6_field_16, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(((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)))))=>(X2=k5_field_16(X1)<=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),X2,X3)=k2_binom(X1,X3,k3_ring_3(X1)))))), file('field_16/field_16__t26_field_16', d6_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__t26_field_16', dt_l6_algstr_0)).
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__t26_field_16', dt_k3_struct_0)).
fof(dt_k9_int_3, axiom, ![X1]:(v7_ordinal1(X1)=>l6_algstr_0(k9_int_3(X1))), file('field_16/field_16__t26_field_16', dt_k9_int_3)).
fof(fc7_int_3, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>(((((((((~(v6_struct_0(k9_int_3(X1)))&v13_algstr_0(k9_int_3(X1)))&v33_algstr_0(k9_int_3(X1)))&v3_group_1(k9_int_3(X1)))&v5_group_1(k9_int_3(X1)))&v2_rlvect_1(k9_int_3(X1)))&v3_rlvect_1(k9_int_3(X1)))&v4_rlvect_1(k9_int_3(X1)))&v4_vectsp_1(k9_int_3(X1)))&v5_vectsp_1(k9_int_3(X1)))), file('field_16/field_16__t26_field_16', fc7_int_3)).
fof(redefinition_k3_funct_2, axiom, ![X1, X2, X3, X4]:(((((~(v1_xboole_0(X1))&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>k3_funct_2(X1,X2,X3,X4)=k1_funct_1(X3,X4)), file('field_16/field_16__t26_field_16', redefinition_k3_funct_2)).
fof(t26_field_16, conjecture, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>r2_funct_2(u1_struct_0(k9_int_3(X1)),u1_struct_0(k9_int_3(X1)),k5_field_16(k9_int_3(X1)),k3_struct_0(k9_int_3(X1)))), file('field_16/field_16__t26_field_16', t26_field_16)).
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('field_16/field_16__t26_field_16', fc2_struct_0)).
fof(cc4_xxreal_0, axiom, ![X1]:(((~(v8_ordinal1(X1))&v1_xxreal_0(X1))&~(v3_xxreal_0(X1)))=>(v1_xxreal_0(X1)&v2_xxreal_0(X1))), file('field_16/field_16__t26_field_16', cc4_xxreal_0)).
fof(cc2_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>(v7_ordinal1(X1)&~(v3_xxreal_0(X1)))), file('field_16/field_16__t26_field_16', cc2_nat_1)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('field_16/field_16__t26_field_16', cc2_xxreal_0)).
fof(t77_ring_3, axiom, ![X1]:((v7_ordinal1(X1)&v2_xxreal_0(X1))=>k3_ring_3(k9_int_3(X1))=X1), file('field_16/field_16__t26_field_16', t77_ring_3)).
fof(rd1_funct_1, axiom, ![X1, X2]:(m1_subset_1(X2,X1)=>k1_funct_1(k4_relat_1(X1),X2)=X2), file('field_16/field_16__t26_field_16', rd1_funct_1)).
fof(redefinition_k6_partfun1, axiom, ![X1]:k6_partfun1(X1)=k4_relat_1(X1), file('field_16/field_16__t26_field_16', redefinition_k6_partfun1)).
fof(d4_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>k3_struct_0(X1)=k6_partfun1(u1_struct_0(X1))), file('field_16/field_16__t26_field_16', d4_struct_0)).
fof(t25_field_16, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k9_int_3(X1)))=>k2_binom(k9_int_3(X1),X2,X1)=X2)), file('field_16/field_16__t26_field_16', t25_field_16)).
fof(d8_funct_2, axiom, ![X1, X2, X3]:(((v1_funct_1(X3)&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>![X4]:(((v1_funct_1(X4)&v1_funct_2(X4,X1,X2))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>(r2_funct_2(X1,X2,X3,X4)<=>![X5]:(m1_subset_1(X5,X1)=>k1_funct_1(X3,X5)=k1_funct_1(X4,X5))))), file('field_16/field_16__t26_field_16', d8_funct_2)).
fof(fc6_int_3, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>(~(v2_struct_0(k9_int_3(X1)))&v36_algstr_0(k9_int_3(X1)))), file('field_16/field_16__t26_field_16', fc6_int_3)).
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__t26_field_16', cc3_int_3)).
fof(c_0_21, plain, ![X58]:(~l1_algstr_0(X58)|l1_struct_0(X58)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_algstr_0])])).
fof(c_0_22, plain, ![X59]:((l2_struct_0(X59)|~l2_algstr_0(X59))&(l1_algstr_0(X59)|~l2_algstr_0(X59))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
fof(c_0_23, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(((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)))))=>(X2=k5_field_16(X1)<=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),X2,X3)=k2_binom(X1,X3,k3_ring_3(X1)))))), inference(fof_simplification,[status(thm)],[d6_field_16])).
cnf(c_0_24, plain, (l1_struct_0(X1)|~l1_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_25, plain, (l1_algstr_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_26, plain, ![X60]:((l2_algstr_0(X60)|~l6_algstr_0(X60))&(l5_algstr_0(X60)|~l6_algstr_0(X60))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_27, plain, ![X45, X46, X47]:((X46!=k5_field_16(X45)|(~m1_subset_1(X47,u1_struct_0(X45))|k3_funct_2(u1_struct_0(X45),u1_struct_0(X45),X46,X47)=k2_binom(X45,X47,k3_ring_3(X45)))|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(X45))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(X45)))))|(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v4_vectsp_1(X45)|~v5_vectsp_1(X45)|~v3_group_1(X45)|~l6_algstr_0(X45)))&((m1_subset_1(esk2_2(X45,X46),u1_struct_0(X45))|X46=k5_field_16(X45)|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(X45))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(X45)))))|(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v4_vectsp_1(X45)|~v5_vectsp_1(X45)|~v3_group_1(X45)|~l6_algstr_0(X45)))&(k3_funct_2(u1_struct_0(X45),u1_struct_0(X45),X46,esk2_2(X45,X46))!=k2_binom(X45,esk2_2(X45,X46),k3_ring_3(X45))|X46=k5_field_16(X45)|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(X45))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(X45)))))|(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v4_vectsp_1(X45)|~v5_vectsp_1(X45)|~v3_group_1(X45)|~l6_algstr_0(X45))))), 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_23])])])])])).
fof(c_0_28, plain, ![X55]:(((v1_funct_1(k3_struct_0(X55))|~l1_struct_0(X55))&(v1_funct_2(k3_struct_0(X55),u1_struct_0(X55),u1_struct_0(X55))|~l1_struct_0(X55)))&(m1_subset_1(k3_struct_0(X55),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X55),u1_struct_0(X55))))|~l1_struct_0(X55))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_struct_0])])])).
cnf(c_0_29, plain, (l1_struct_0(X1)|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_30, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_31, plain, (m1_subset_1(esk2_2(X1,X2),u1_struct_0(X1))|X2=k5_field_16(X1)|v2_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))))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_32, 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_28])).
cnf(c_0_33, plain, (l1_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_34, plain, (k5_field_16(X1)=k3_struct_0(X1)|m1_subset_1(esk2_2(X1,k3_struct_0(X1)),u1_struct_0(X1))|v2_struct_0(X1)|~v1_funct_2(k3_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1))|~v1_funct_1(k3_struct_0(X1))|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33])).
cnf(c_0_35, 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_28])).
cnf(c_0_36, plain, (k5_field_16(X1)=k3_struct_0(X1)|m1_subset_1(esk2_2(X1,k3_struct_0(X1)),u1_struct_0(X1))|v2_struct_0(X1)|~v1_funct_1(k3_struct_0(X1))|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_33])).
cnf(c_0_37, plain, (v1_funct_1(k3_struct_0(X1))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_38, plain, ![X57]:(~v7_ordinal1(X57)|l6_algstr_0(k9_int_3(X57))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_int_3])])).
fof(c_0_39, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>(((((((((~v6_struct_0(k9_int_3(X1))&v13_algstr_0(k9_int_3(X1)))&v33_algstr_0(k9_int_3(X1)))&v3_group_1(k9_int_3(X1)))&v5_group_1(k9_int_3(X1)))&v2_rlvect_1(k9_int_3(X1)))&v3_rlvect_1(k9_int_3(X1)))&v4_rlvect_1(k9_int_3(X1)))&v4_vectsp_1(k9_int_3(X1)))&v5_vectsp_1(k9_int_3(X1)))), inference(fof_simplification,[status(thm)],[fc7_int_3])).
fof(c_0_40, plain, ![X1, X2, X3, X4]:(((((~v1_xboole_0(X1)&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>k3_funct_2(X1,X2,X3,X4)=k1_funct_1(X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k3_funct_2])).
cnf(c_0_41, plain, (k5_field_16(X1)=k3_struct_0(X1)|m1_subset_1(esk2_2(X1,k3_struct_0(X1)),u1_struct_0(X1))|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_33])).
cnf(c_0_42, plain, (l6_algstr_0(k9_int_3(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
fof(c_0_43, plain, ![X63]:((((((((((~v6_struct_0(k9_int_3(X63))|(~v7_ordinal1(X63)|~v1_int_2(X63)))&(v13_algstr_0(k9_int_3(X63))|(~v7_ordinal1(X63)|~v1_int_2(X63))))&(v33_algstr_0(k9_int_3(X63))|(~v7_ordinal1(X63)|~v1_int_2(X63))))&(v3_group_1(k9_int_3(X63))|(~v7_ordinal1(X63)|~v1_int_2(X63))))&(v5_group_1(k9_int_3(X63))|(~v7_ordinal1(X63)|~v1_int_2(X63))))&(v2_rlvect_1(k9_int_3(X63))|(~v7_ordinal1(X63)|~v1_int_2(X63))))&(v3_rlvect_1(k9_int_3(X63))|(~v7_ordinal1(X63)|~v1_int_2(X63))))&(v4_rlvect_1(k9_int_3(X63))|(~v7_ordinal1(X63)|~v1_int_2(X63))))&(v4_vectsp_1(k9_int_3(X63))|(~v7_ordinal1(X63)|~v1_int_2(X63))))&(v5_vectsp_1(k9_int_3(X63))|(~v7_ordinal1(X63)|~v1_int_2(X63)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])).
fof(c_0_44, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>r2_funct_2(u1_struct_0(k9_int_3(X1)),u1_struct_0(k9_int_3(X1)),k5_field_16(k9_int_3(X1)),k3_struct_0(k9_int_3(X1))))), inference(assume_negation,[status(cth)],[t26_field_16])).
fof(c_0_45, plain, ![X66, X67, X68, X69]:(v1_xboole_0(X66)|~v1_funct_1(X68)|~v1_funct_2(X68,X66,X67)|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(X66,X67)))|~m1_subset_1(X69,X66)|k3_funct_2(X66,X67,X68,X69)=k1_funct_1(X68,X69)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])).
cnf(c_0_46, plain, (k5_field_16(k9_int_3(X1))=k3_struct_0(k9_int_3(X1))|m1_subset_1(esk2_2(k9_int_3(X1),k3_struct_0(k9_int_3(X1))),u1_struct_0(k9_int_3(X1)))|v2_struct_0(k9_int_3(X1))|~v3_group_1(k9_int_3(X1))|~v5_vectsp_1(k9_int_3(X1))|~v4_vectsp_1(k9_int_3(X1))|~v4_rlvect_1(k9_int_3(X1))|~v3_rlvect_1(k9_int_3(X1))|~v2_rlvect_1(k9_int_3(X1))|~v13_algstr_0(k9_int_3(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_41, c_0_42])).
cnf(c_0_47, plain, (v3_group_1(k9_int_3(X1))|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_48, plain, (v13_algstr_0(k9_int_3(X1))|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_49, plain, (v2_rlvect_1(k9_int_3(X1))|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_50, plain, (v3_rlvect_1(k9_int_3(X1))|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_51, plain, (v4_rlvect_1(k9_int_3(X1))|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_52, plain, (v4_vectsp_1(k9_int_3(X1))|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_53, plain, (v5_vectsp_1(k9_int_3(X1))|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
fof(c_0_54, negated_conjecture, ((v7_ordinal1(esk1_0)&v1_int_2(esk1_0))&~r2_funct_2(u1_struct_0(k9_int_3(esk1_0)),u1_struct_0(k9_int_3(esk1_0)),k5_field_16(k9_int_3(esk1_0)),k3_struct_0(k9_int_3(esk1_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])).
fof(c_0_55, plain, ![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>~v1_xboole_0(u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[fc2_struct_0])).
cnf(c_0_56, plain, (v1_xboole_0(X1)|k3_funct_2(X1,X3,X2,X4)=k1_funct_1(X2,X4)|~v1_funct_1(X2)|~v1_funct_2(X2,X1,X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))|~m1_subset_1(X4,X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_57, plain, (k5_field_16(k9_int_3(X1))=k3_struct_0(k9_int_3(X1))|m1_subset_1(esk2_2(k9_int_3(X1),k3_struct_0(k9_int_3(X1))),u1_struct_0(k9_int_3(X1)))|v2_struct_0(k9_int_3(X1))|~v1_int_2(X1)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])).
cnf(c_0_58, negated_conjecture, (v1_int_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_59, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_54])).
fof(c_0_60, plain, ![X61]:(v2_struct_0(X61)|~l1_struct_0(X61)|~v1_xboole_0(u1_struct_0(X61))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])).
cnf(c_0_61, plain, (X2=k5_field_16(X1)|v2_struct_0(X1)|k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),X2,esk2_2(X1,X2))!=k2_binom(X1,esk2_2(X1,X2),k3_ring_3(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))))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_62, plain, (k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),k3_struct_0(X1),X2)=k1_funct_1(k3_struct_0(X1),X2)|v1_xboole_0(u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l1_struct_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_32]), c_0_37]), c_0_35])).
cnf(c_0_63, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|m1_subset_1(esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),u1_struct_0(k9_int_3(esk1_0)))|v2_struct_0(k9_int_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_59])])).
cnf(c_0_64, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_65, plain, (k5_field_16(X1)=k3_struct_0(X1)|v2_struct_0(X1)|k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),k3_struct_0(X1),esk2_2(X1,k3_struct_0(X1)))!=k2_binom(X1,esk2_2(X1,k3_struct_0(X1)),k3_ring_3(X1))|~v1_funct_2(k3_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1))|~v1_funct_1(k3_struct_0(X1))|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_32]), c_0_33])).
cnf(c_0_66, negated_conjecture, (k3_funct_2(u1_struct_0(k9_int_3(esk1_0)),u1_struct_0(k9_int_3(esk1_0)),k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))=k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))|k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|~l1_struct_0(k9_int_3(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_64])).
cnf(c_0_67, plain, (l1_struct_0(k9_int_3(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_33, c_0_42])).
cnf(c_0_68, plain, (k5_field_16(X1)=k3_struct_0(X1)|v2_struct_0(X1)|k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),k3_struct_0(X1),esk2_2(X1,k3_struct_0(X1)))!=k2_binom(X1,esk2_2(X1,k3_struct_0(X1)),k3_ring_3(X1))|~v1_funct_1(k3_struct_0(X1))|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_35]), c_0_33])).
cnf(c_0_69, negated_conjecture, (k3_funct_2(u1_struct_0(k9_int_3(esk1_0)),u1_struct_0(k9_int_3(esk1_0)),k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))=k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))|k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_59])])).
cnf(c_0_70, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),k3_ring_3(k9_int_3(esk1_0)))!=k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))|~v1_funct_1(k3_struct_0(k9_int_3(esk1_0)))|~l6_algstr_0(k9_int_3(esk1_0))|~v3_group_1(k9_int_3(esk1_0))|~v5_vectsp_1(k9_int_3(esk1_0))|~v4_vectsp_1(k9_int_3(esk1_0))|~v4_rlvect_1(k9_int_3(esk1_0))|~v3_rlvect_1(k9_int_3(esk1_0))|~v2_rlvect_1(k9_int_3(esk1_0))|~v13_algstr_0(k9_int_3(esk1_0))), inference(spm,[status(thm)],[c_0_68, c_0_69])).
cnf(c_0_71, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),k3_ring_3(k9_int_3(esk1_0)))!=k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))|~v1_funct_1(k3_struct_0(k9_int_3(esk1_0)))|~v3_group_1(k9_int_3(esk1_0))|~v5_vectsp_1(k9_int_3(esk1_0))|~v4_vectsp_1(k9_int_3(esk1_0))|~v4_rlvect_1(k9_int_3(esk1_0))|~v3_rlvect_1(k9_int_3(esk1_0))|~v2_rlvect_1(k9_int_3(esk1_0))|~v13_algstr_0(k9_int_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_42]), c_0_59])])).
cnf(c_0_72, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),k3_ring_3(k9_int_3(esk1_0)))!=k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))|~v1_funct_1(k3_struct_0(k9_int_3(esk1_0)))|~v5_vectsp_1(k9_int_3(esk1_0))|~v4_vectsp_1(k9_int_3(esk1_0))|~v4_rlvect_1(k9_int_3(esk1_0))|~v3_rlvect_1(k9_int_3(esk1_0))|~v2_rlvect_1(k9_int_3(esk1_0))|~v13_algstr_0(k9_int_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_47]), c_0_58]), c_0_59])])).
cnf(c_0_73, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),k3_ring_3(k9_int_3(esk1_0)))!=k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))|~v1_funct_1(k3_struct_0(k9_int_3(esk1_0)))|~v4_vectsp_1(k9_int_3(esk1_0))|~v4_rlvect_1(k9_int_3(esk1_0))|~v3_rlvect_1(k9_int_3(esk1_0))|~v2_rlvect_1(k9_int_3(esk1_0))|~v13_algstr_0(k9_int_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_53]), c_0_58]), c_0_59])])).
cnf(c_0_74, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),k3_ring_3(k9_int_3(esk1_0)))!=k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))|~v1_funct_1(k3_struct_0(k9_int_3(esk1_0)))|~v4_rlvect_1(k9_int_3(esk1_0))|~v3_rlvect_1(k9_int_3(esk1_0))|~v2_rlvect_1(k9_int_3(esk1_0))|~v13_algstr_0(k9_int_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_52]), c_0_58]), c_0_59])])).
cnf(c_0_75, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),k3_ring_3(k9_int_3(esk1_0)))!=k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))|~v1_funct_1(k3_struct_0(k9_int_3(esk1_0)))|~v3_rlvect_1(k9_int_3(esk1_0))|~v2_rlvect_1(k9_int_3(esk1_0))|~v13_algstr_0(k9_int_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_51]), c_0_58]), c_0_59])])).
cnf(c_0_76, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),k3_ring_3(k9_int_3(esk1_0)))!=k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))|~v1_funct_1(k3_struct_0(k9_int_3(esk1_0)))|~v2_rlvect_1(k9_int_3(esk1_0))|~v13_algstr_0(k9_int_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_50]), c_0_58]), c_0_59])])).
cnf(c_0_77, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),k3_ring_3(k9_int_3(esk1_0)))!=k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))|~v1_funct_1(k3_struct_0(k9_int_3(esk1_0)))|~v13_algstr_0(k9_int_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_49]), c_0_58]), c_0_59])])).
fof(c_0_78, plain, ![X1]:(((~v8_ordinal1(X1)&v1_xxreal_0(X1))&~v3_xxreal_0(X1))=>(v1_xxreal_0(X1)&v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_xxreal_0])).
fof(c_0_79, plain, ![X1]:(v7_ordinal1(X1)=>(v7_ordinal1(X1)&~v3_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc2_nat_1])).
cnf(c_0_80, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),k3_ring_3(k9_int_3(esk1_0)))!=k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))|~v1_funct_1(k3_struct_0(k9_int_3(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_48]), c_0_58]), c_0_59])])).
fof(c_0_81, plain, ![X43]:((v1_xxreal_0(X43)|(v8_ordinal1(X43)|~v1_xxreal_0(X43)|v3_xxreal_0(X43)))&(v2_xxreal_0(X43)|(v8_ordinal1(X43)|~v1_xxreal_0(X43)|v3_xxreal_0(X43)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])).
fof(c_0_82, plain, ![X41]:(~v7_ordinal1(X41)|v1_xxreal_0(X41)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
fof(c_0_83, plain, ![X40]:((v7_ordinal1(X40)|~v7_ordinal1(X40))&(~v3_xxreal_0(X40)|~v7_ordinal1(X40))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])).
cnf(c_0_84, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),k3_ring_3(k9_int_3(esk1_0)))!=k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))|~l1_struct_0(k9_int_3(esk1_0))), inference(spm,[status(thm)],[c_0_80, c_0_37])).
fof(c_0_85, plain, ![X73]:(~v7_ordinal1(X73)|~v2_xxreal_0(X73)|k3_ring_3(k9_int_3(X73))=X73), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t77_ring_3])])).
cnf(c_0_86, plain, (v2_xxreal_0(X1)|v8_ordinal1(X1)|v3_xxreal_0(X1)|~v1_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_87, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_88, plain, (~v3_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_83])).
fof(c_0_89, plain, ![X64, X65]:(~m1_subset_1(X65,X64)|k1_funct_1(k4_relat_1(X64),X65)=X65), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd1_funct_1])])).
fof(c_0_90, plain, ![X70]:k6_partfun1(X70)=k4_relat_1(X70), inference(variable_rename,[status(thm)],[redefinition_k6_partfun1])).
cnf(c_0_91, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),k3_ring_3(k9_int_3(esk1_0)))!=k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_67]), c_0_59])])).
cnf(c_0_92, plain, (k3_ring_3(k9_int_3(X1))=X1|~v7_ordinal1(X1)|~v2_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_85])).
cnf(c_0_93, plain, (v2_xxreal_0(X1)|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_88])).
cnf(c_0_94, plain, (k1_funct_1(k4_relat_1(X2),X1)=X1|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_95, plain, (k6_partfun1(X1)=k4_relat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_90])).
fof(c_0_96, plain, ![X44]:(~l1_struct_0(X44)|k3_struct_0(X44)=k6_partfun1(u1_struct_0(X44))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_struct_0])])).
cnf(c_0_97, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))!=k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),esk1_0)|~v2_xxreal_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_59])])).
cnf(c_0_98, negated_conjecture, (v2_xxreal_0(esk1_0)|v8_ordinal1(esk1_0)), inference(spm,[status(thm)],[c_0_93, c_0_59])).
cnf(c_0_99, plain, (k1_funct_1(k6_partfun1(X2),X1)=X1|~m1_subset_1(X1,X2)), inference(rw,[status(thm)],[c_0_94, c_0_95])).
cnf(c_0_100, plain, (k3_struct_0(X1)=k6_partfun1(u1_struct_0(X1))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_96])).
cnf(c_0_101, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|v8_ordinal1(esk1_0)|k1_funct_1(k3_struct_0(k9_int_3(esk1_0)),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))))!=k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),esk1_0)), inference(spm,[status(thm)],[c_0_97, c_0_98])).
cnf(c_0_102, plain, (k1_funct_1(k3_struct_0(X1),X2)=X2|~m1_subset_1(X2,u1_struct_0(X1))|~l1_struct_0(X1)), inference(spm,[status(thm)],[c_0_99, c_0_100])).
cnf(c_0_103, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|v8_ordinal1(esk1_0)|k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),esk1_0)!=esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0)))|~l1_struct_0(k9_int_3(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_63])).
fof(c_0_104, plain, ![X71, X72]:(~v7_ordinal1(X71)|~v1_int_2(X71)|(~m1_subset_1(X72,u1_struct_0(k9_int_3(X71)))|k2_binom(k9_int_3(X71),X72,X71)=X72)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_field_16])])])).
fof(c_0_105, plain, ![X49, X50, X51, X52, X53]:((~r2_funct_2(X49,X50,X51,X52)|(~m1_subset_1(X53,X49)|k1_funct_1(X51,X53)=k1_funct_1(X52,X53))|(~v1_funct_1(X52)|~v1_funct_2(X52,X49,X50)|~m1_subset_1(X52,k1_zfmisc_1(k2_zfmisc_1(X49,X50))))|(~v1_funct_1(X51)|~v1_funct_2(X51,X49,X50)|~m1_subset_1(X51,k1_zfmisc_1(k2_zfmisc_1(X49,X50)))))&((m1_subset_1(esk3_4(X49,X50,X51,X52),X49)|r2_funct_2(X49,X50,X51,X52)|(~v1_funct_1(X52)|~v1_funct_2(X52,X49,X50)|~m1_subset_1(X52,k1_zfmisc_1(k2_zfmisc_1(X49,X50))))|(~v1_funct_1(X51)|~v1_funct_2(X51,X49,X50)|~m1_subset_1(X51,k1_zfmisc_1(k2_zfmisc_1(X49,X50)))))&(k1_funct_1(X51,esk3_4(X49,X50,X51,X52))!=k1_funct_1(X52,esk3_4(X49,X50,X51,X52))|r2_funct_2(X49,X50,X51,X52)|(~v1_funct_1(X52)|~v1_funct_2(X52,X49,X50)|~m1_subset_1(X52,k1_zfmisc_1(k2_zfmisc_1(X49,X50))))|(~v1_funct_1(X51)|~v1_funct_2(X51,X49,X50)|~m1_subset_1(X51,k1_zfmisc_1(k2_zfmisc_1(X49,X50))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_funct_2])])])])])).
cnf(c_0_106, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|v8_ordinal1(esk1_0)|k2_binom(k9_int_3(esk1_0),esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0))),esk1_0)!=esk2_2(k9_int_3(esk1_0),k3_struct_0(k9_int_3(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_67]), c_0_59])])).
cnf(c_0_107, plain, (k2_binom(k9_int_3(X1),X2,X1)=X2|~v7_ordinal1(X1)|~v1_int_2(X1)|~m1_subset_1(X2,u1_struct_0(k9_int_3(X1)))), inference(split_conjunct,[status(thm)],[c_0_104])).
cnf(c_0_108, plain, (r2_funct_2(X2,X3,X1,X4)|k1_funct_1(X1,esk3_4(X2,X3,X1,X4))!=k1_funct_1(X4,esk3_4(X2,X3,X1,X4))|~v1_funct_1(X4)|~v1_funct_2(X4,X2,X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))|~v1_funct_1(X1)|~v1_funct_2(X1,X2,X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_105])).
cnf(c_0_109, negated_conjecture, (~r2_funct_2(u1_struct_0(k9_int_3(esk1_0)),u1_struct_0(k9_int_3(esk1_0)),k5_field_16(k9_int_3(esk1_0)),k3_struct_0(k9_int_3(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_110, negated_conjecture, (k5_field_16(k9_int_3(esk1_0))=k3_struct_0(k9_int_3(esk1_0))|v2_struct_0(k9_int_3(esk1_0))|v8_ordinal1(esk1_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_107]), c_0_58]), c_0_59])]), c_0_63])).
cnf(c_0_111, 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_108])).
fof(c_0_112, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>(~v2_struct_0(k9_int_3(X1))&v36_algstr_0(k9_int_3(X1)))), inference(fof_simplification,[status(thm)],[fc6_int_3])).
cnf(c_0_113, negated_conjecture, (v2_struct_0(k9_int_3(esk1_0))|v8_ordinal1(esk1_0)|~r2_funct_2(u1_struct_0(k9_int_3(esk1_0)),u1_struct_0(k9_int_3(esk1_0)),k3_struct_0(k9_int_3(esk1_0)),k3_struct_0(k9_int_3(esk1_0)))), inference(spm,[status(thm)],[c_0_109, c_0_110])).
cnf(c_0_114, plain, (r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k3_struct_0(X1),k3_struct_0(X1))|~l1_struct_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_32]), c_0_37]), c_0_35])).
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, ![X62]:((~v2_struct_0(k9_int_3(X62))|(~v7_ordinal1(X62)|v8_ordinal1(X62)))&(v36_algstr_0(k9_int_3(X62))|(~v7_ordinal1(X62)|v8_ordinal1(X62)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])])).
cnf(c_0_117, negated_conjecture, (v2_struct_0(k9_int_3(esk1_0))|v8_ordinal1(esk1_0)|~l1_struct_0(k9_int_3(esk1_0))), inference(spm,[status(thm)],[c_0_113, c_0_114])).
fof(c_0_118, plain, ![X42]:(((v7_ordinal1(X42)|(~v7_ordinal1(X42)|~v1_int_2(X42)))&(~v8_ordinal1(X42)|(~v7_ordinal1(X42)|~v1_int_2(X42))))&(v1_int_2(X42)|(~v7_ordinal1(X42)|~v1_int_2(X42)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])])])).
cnf(c_0_119, plain, (v8_ordinal1(X1)|~v2_struct_0(k9_int_3(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_116])).
cnf(c_0_120, negated_conjecture, (v2_struct_0(k9_int_3(esk1_0))|v8_ordinal1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_67]), c_0_59])])).
cnf(c_0_121, plain, (~v8_ordinal1(X1)|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_118])).
cnf(c_0_122, negated_conjecture, (v8_ordinal1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_59])])).
cnf(c_0_123, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_122]), c_0_58]), c_0_59])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 124
# Proof object clause steps            : 73
# Proof object formula steps           : 51
# Proof object conjectures             : 31
# Proof object clause conjectures      : 28
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 32
# Proof object initial formulas used   : 21
# Proof object generating inferences   : 40
# Proof object simplifying inferences  : 63
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 22
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 47
# Removed in clause preprocessing      : 5
# Initial clauses in saturation        : 42
# Processed clauses                    : 148
# ...of these trivial                  : 0
# ...subsumed                          : 8
# ...remaining for further processing  : 140
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 20
# Backward-rewritten                   : 3
# Generated clauses                    : 76
# ...of the previous two non-trivial   : 75
# Contextual simplify-reflections      : 26
# Paramodulations                      : 74
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2
# 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  : 74
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 68
# Current number of unprocessed clauses: 11
# ...number of literals in the above   : 101
# Current number of archived formulas  : 0
# Current number of archived clauses   : 66
# Clause-clause subsumption calls (NU) : 8221
# Rec. Clause-clause subsumption calls : 1318
# Non-unit clause-clause subsumptions  : 54
# Unit Clause-clause subsumption calls : 29
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 8354

# -------------------------------------------------
# User time                : 0.030 s
# System time              : 0.004 s
# Total time               : 0.034 s
# Maximum resident set size: 3396 pages
