# 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       : 0.029 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k8_funcop_1, axiom, ![X1, X2, X3]:((~(v1_xboole_0(X1))&m1_subset_1(X3,X1))=>((v1_funct_1(k8_funcop_1(X1,X2,X3))&v1_funct_2(k8_funcop_1(X1,X2,X3),X2,X1))&m1_subset_1(k8_funcop_1(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(X2,X1))))), file('field_16/field_16__t23_field_16', dt_k8_funcop_1)).
fof(dt_u3_struct_0, axiom, ![X1]:(l3_struct_0(X1)=>m1_subset_1(u3_struct_0(X1),u1_struct_0(X1))), file('field_16/field_16__t23_field_16', dt_u3_struct_0)).
fof(dt_l4_algstr_0, axiom, ![X1]:(l4_algstr_0(X1)=>(l3_struct_0(X1)&l3_algstr_0(X1))), file('field_16/field_16__t23_field_16', dt_l4_algstr_0)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('field_16/field_16__t23_field_16', dt_l5_algstr_0)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('field_16/field_16__t23_field_16', dt_l6_algstr_0)).
fof(t23_field_16, conjecture, ![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))&v3_ring_3(X1,k5_numbers))&l6_algstr_0(X1))=>r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k5_field_16(X1),k8_funcop_1(u1_struct_0(X1),u1_struct_0(X1),k5_struct_0(X1)))), file('field_16/field_16__t23_field_16', t23_field_16)).
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__t23_field_16', d6_field_16)).
fof(d7_struct_0, axiom, ![X1]:(l3_struct_0(X1)=>k5_struct_0(X1)=u3_struct_0(X1)), file('field_16/field_16__t23_field_16', d7_struct_0)).
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__t23_field_16', redefinition_k3_funct_2)).
fof(redefinition_k8_funcop_1, axiom, ![X1, X2, X3]:((~(v1_xboole_0(X1))&m1_subset_1(X3,X1))=>k8_funcop_1(X1,X2,X3)=k2_funcop_1(X2,X3)), file('field_16/field_16__t23_field_16', redefinition_k8_funcop_1)).
fof(cc5_vectsp_1, axiom, ![X1]:(l4_algstr_0(X1)=>((~(v2_struct_0(X1))&v4_vectsp_1(X1))=>(~(v2_struct_0(X1))&v1_group_1(X1)))), file('field_16/field_16__t23_field_16', cc5_vectsp_1)).
fof(d6_ring_3, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v3_group_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&l6_algstr_0(X2))=>(v3_ring_3(X2,X1)<=>k3_ring_3(X2)=X1))), file('field_16/field_16__t23_field_16', d6_ring_3)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('field_16/field_16__t23_field_16', fc8_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('field_16/field_16__t23_field_16', redefinition_k5_numbers)).
fof(rd1_funcop_1, axiom, ![X1, X2, X3]:((~(v1_xboole_0(X1))&m1_subset_1(X3,X1))=>k1_funct_1(k2_funcop_1(X1,X2),X3)=X2), file('field_16/field_16__t23_field_16', rd1_funcop_1)).
fof(t8_binom, axiom, ![X1]:(((~(v2_struct_0(X1))&v1_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>(k2_binom(X1,X2,k5_numbers)=k1_group_1(X1)&k2_binom(X1,X2,np__1)=X2))), file('field_16/field_16__t23_field_16', t8_binom)).
fof(rd2_field_15, axiom, ![X1, X2]:((((((((((~(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))&v7_ordinal1(X2))=>k2_binom(X1,k5_struct_0(X1),X2)=k5_struct_0(X1)), file('field_16/field_16__t23_field_16', rd2_field_15)).
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__t23_field_16', fc2_struct_0)).
fof(dt_l2_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>l1_struct_0(X1)), file('field_16/field_16__t23_field_16', dt_l2_struct_0)).
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__t23_field_16', redefinition_r2_funct_2)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('field_16/field_16__t23_field_16', dt_l2_algstr_0)).
fof(c_0_21, plain, ![X1, X2, X3]:((~v1_xboole_0(X1)&m1_subset_1(X3,X1))=>((v1_funct_1(k8_funcop_1(X1,X2,X3))&v1_funct_2(k8_funcop_1(X1,X2,X3),X2,X1))&m1_subset_1(k8_funcop_1(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(X2,X1))))), inference(fof_simplification,[status(thm)],[dt_k8_funcop_1])).
fof(c_0_22, plain, ![X50, X51, X52]:(((v1_funct_1(k8_funcop_1(X50,X51,X52))|(v1_xboole_0(X50)|~m1_subset_1(X52,X50)))&(v1_funct_2(k8_funcop_1(X50,X51,X52),X51,X50)|(v1_xboole_0(X50)|~m1_subset_1(X52,X50))))&(m1_subset_1(k8_funcop_1(X50,X51,X52),k1_zfmisc_1(k2_zfmisc_1(X51,X50)))|(v1_xboole_0(X50)|~m1_subset_1(X52,X50)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])).
fof(c_0_23, plain, ![X58]:(~l3_struct_0(X58)|m1_subset_1(u3_struct_0(X58),u1_struct_0(X58))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u3_struct_0])])).
cnf(c_0_24, plain, (m1_subset_1(k8_funcop_1(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(X2,X1)))|v1_xboole_0(X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_25, plain, (m1_subset_1(u3_struct_0(X1),u1_struct_0(X1))|~l3_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_26, plain, ![X55]:((l3_struct_0(X55)|~l4_algstr_0(X55))&(l3_algstr_0(X55)|~l4_algstr_0(X55))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_algstr_0])])])).
fof(c_0_27, plain, ![X56]:((l4_algstr_0(X56)|~l5_algstr_0(X56))&(l4_struct_0(X56)|~l5_algstr_0(X56))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
fof(c_0_28, plain, ![X57]:((l2_algstr_0(X57)|~l6_algstr_0(X57))&(l5_algstr_0(X57)|~l6_algstr_0(X57))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
cnf(c_0_29, plain, (v1_funct_1(k8_funcop_1(X1,X2,X3))|v1_xboole_0(X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_30, plain, (v1_funct_2(k8_funcop_1(X1,X2,X3),X2,X1)|v1_xboole_0(X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_31, plain, (v1_xboole_0(u1_struct_0(X1))|m1_subset_1(k8_funcop_1(u1_struct_0(X1),X2,u3_struct_0(X1)),k1_zfmisc_1(k2_zfmisc_1(X2,u1_struct_0(X1))))|~l3_struct_0(X1)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_32, plain, (l3_struct_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_33, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_34, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_35, negated_conjecture, ~(![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))&v3_ring_3(X1,k5_numbers))&l6_algstr_0(X1))=>r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k5_field_16(X1),k8_funcop_1(u1_struct_0(X1),u1_struct_0(X1),k5_struct_0(X1))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t23_field_16])])).
cnf(c_0_36, plain, (v1_xboole_0(u1_struct_0(X1))|v1_funct_1(k8_funcop_1(u1_struct_0(X1),X2,u3_struct_0(X1)))|~l3_struct_0(X1)), inference(spm,[status(thm)],[c_0_29, c_0_25])).
cnf(c_0_37, plain, (v1_xboole_0(u1_struct_0(X1))|v1_funct_2(k8_funcop_1(u1_struct_0(X1),X2,u3_struct_0(X1)),X2,u1_struct_0(X1))|~l3_struct_0(X1)), inference(spm,[status(thm)],[c_0_30, c_0_25])).
fof(c_0_38, 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_39, plain, (v1_xboole_0(u1_struct_0(X1))|m1_subset_1(k8_funcop_1(u1_struct_0(X1),X2,u3_struct_0(X1)),k1_zfmisc_1(k2_zfmisc_1(X2,u1_struct_0(X1))))|~l4_algstr_0(X1)), inference(spm,[status(thm)],[c_0_31, c_0_32])).
cnf(c_0_40, plain, (l4_algstr_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
fof(c_0_41, negated_conjecture, ((((((((((~v2_struct_0(esk1_0)&v13_algstr_0(esk1_0))&v2_rlvect_1(esk1_0))&v3_rlvect_1(esk1_0))&v4_rlvect_1(esk1_0))&v4_vectsp_1(esk1_0))&v5_vectsp_1(esk1_0))&v3_group_1(esk1_0))&v3_ring_3(esk1_0,k5_numbers))&l6_algstr_0(esk1_0))&~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_field_16(esk1_0),k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])).
cnf(c_0_42, plain, (v1_xboole_0(u1_struct_0(X1))|v1_funct_1(k8_funcop_1(u1_struct_0(X1),X2,u3_struct_0(X1)))|~l4_algstr_0(X1)), inference(spm,[status(thm)],[c_0_36, c_0_32])).
cnf(c_0_43, plain, (v1_xboole_0(u1_struct_0(X1))|v1_funct_2(k8_funcop_1(u1_struct_0(X1),X2,u3_struct_0(X1)),X2,u1_struct_0(X1))|~l4_algstr_0(X1)), inference(spm,[status(thm)],[c_0_37, c_0_32])).
fof(c_0_44, plain, ![X43, X44, X45]:((X44!=k5_field_16(X43)|(~m1_subset_1(X45,u1_struct_0(X43))|k3_funct_2(u1_struct_0(X43),u1_struct_0(X43),X44,X45)=k2_binom(X43,X45,k3_ring_3(X43)))|(~v1_funct_1(X44)|~v1_funct_2(X44,u1_struct_0(X43),u1_struct_0(X43))|~m1_subset_1(X44,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X43),u1_struct_0(X43)))))|(v2_struct_0(X43)|~v13_algstr_0(X43)|~v2_rlvect_1(X43)|~v3_rlvect_1(X43)|~v4_rlvect_1(X43)|~v4_vectsp_1(X43)|~v5_vectsp_1(X43)|~v3_group_1(X43)|~l6_algstr_0(X43)))&((m1_subset_1(esk2_2(X43,X44),u1_struct_0(X43))|X44=k5_field_16(X43)|(~v1_funct_1(X44)|~v1_funct_2(X44,u1_struct_0(X43),u1_struct_0(X43))|~m1_subset_1(X44,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X43),u1_struct_0(X43)))))|(v2_struct_0(X43)|~v13_algstr_0(X43)|~v2_rlvect_1(X43)|~v3_rlvect_1(X43)|~v4_rlvect_1(X43)|~v4_vectsp_1(X43)|~v5_vectsp_1(X43)|~v3_group_1(X43)|~l6_algstr_0(X43)))&(k3_funct_2(u1_struct_0(X43),u1_struct_0(X43),X44,esk2_2(X43,X44))!=k2_binom(X43,esk2_2(X43,X44),k3_ring_3(X43))|X44=k5_field_16(X43)|(~v1_funct_1(X44)|~v1_funct_2(X44,u1_struct_0(X43),u1_struct_0(X43))|~m1_subset_1(X44,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X43),u1_struct_0(X43)))))|(v2_struct_0(X43)|~v13_algstr_0(X43)|~v2_rlvect_1(X43)|~v3_rlvect_1(X43)|~v4_rlvect_1(X43)|~v4_vectsp_1(X43)|~v5_vectsp_1(X43)|~v3_group_1(X43)|~l6_algstr_0(X43))))), 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_38])])])])])).
cnf(c_0_45, plain, (v1_xboole_0(u1_struct_0(X1))|m1_subset_1(k8_funcop_1(u1_struct_0(X1),X2,u3_struct_0(X1)),k1_zfmisc_1(k2_zfmisc_1(X2,u1_struct_0(X1))))|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_46, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_47, plain, (v1_xboole_0(u1_struct_0(X1))|v1_funct_1(k8_funcop_1(u1_struct_0(X1),X2,u3_struct_0(X1)))|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_42, c_0_40])).
cnf(c_0_48, plain, (v1_xboole_0(u1_struct_0(X1))|v1_funct_2(k8_funcop_1(u1_struct_0(X1),X2,u3_struct_0(X1)),X2,u1_struct_0(X1))|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_43, c_0_40])).
cnf(c_0_49, 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_44])).
cnf(c_0_50, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(k8_funcop_1(u1_struct_0(esk1_0),X1,u3_struct_0(esk1_0)),k1_zfmisc_1(k2_zfmisc_1(X1,u1_struct_0(esk1_0))))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
cnf(c_0_51, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_52, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_53, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_54, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_55, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_56, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_57, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_58, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_59, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|v1_funct_1(k8_funcop_1(u1_struct_0(esk1_0),X1,u3_struct_0(esk1_0)))), inference(spm,[status(thm)],[c_0_47, c_0_46])).
cnf(c_0_60, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|v1_funct_2(k8_funcop_1(u1_struct_0(esk1_0),X1,u3_struct_0(esk1_0)),X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_48, c_0_46])).
fof(c_0_61, plain, ![X49]:(~l3_struct_0(X49)|k5_struct_0(X49)=u3_struct_0(X49)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_struct_0])])).
fof(c_0_62, 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_63, negated_conjecture, (k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u3_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u3_struct_0(esk1_0))),u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_46]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57])]), c_0_58]), c_0_59]), c_0_60])).
cnf(c_0_64, plain, (k5_struct_0(X1)=u3_struct_0(X1)|~l3_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_61])).
fof(c_0_65, plain, ![X65, X66, X67, X68]:(v1_xboole_0(X65)|~v1_funct_1(X67)|~v1_funct_2(X67,X65,X66)|~m1_subset_1(X67,k1_zfmisc_1(k2_zfmisc_1(X65,X66)))|~m1_subset_1(X68,X65)|k3_funct_2(X65,X66,X67,X68)=k1_funct_1(X67,X68)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])).
cnf(c_0_66, negated_conjecture, (k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))),u1_struct_0(esk1_0))|~l3_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_63, c_0_64])).
fof(c_0_67, plain, ![X1, X2, X3]:((~v1_xboole_0(X1)&m1_subset_1(X3,X1))=>k8_funcop_1(X1,X2,X3)=k2_funcop_1(X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k8_funcop_1])).
cnf(c_0_68, plain, (m1_subset_1(k5_struct_0(X1),u1_struct_0(X1))|~l3_struct_0(X1)), inference(spm,[status(thm)],[c_0_25, c_0_64])).
cnf(c_0_69, 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_65])).
cnf(c_0_70, negated_conjecture, (k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))),u1_struct_0(esk1_0))|~l4_algstr_0(esk1_0)), inference(spm,[status(thm)],[c_0_66, c_0_32])).
fof(c_0_71, plain, ![X69, X70, X71]:(v1_xboole_0(X69)|~m1_subset_1(X71,X69)|k8_funcop_1(X69,X70,X71)=k2_funcop_1(X70,X71)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])).
fof(c_0_72, plain, ![X1]:(l4_algstr_0(X1)=>((~v2_struct_0(X1)&v4_vectsp_1(X1))=>(~v2_struct_0(X1)&v1_group_1(X1)))), inference(fof_simplification,[status(thm)],[cc5_vectsp_1])).
cnf(c_0_73, plain, (v1_xboole_0(u1_struct_0(X1))|m1_subset_1(k8_funcop_1(u1_struct_0(X1),X2,k5_struct_0(X1)),k1_zfmisc_1(k2_zfmisc_1(X2,u1_struct_0(X1))))|~l3_struct_0(X1)), inference(spm,[status(thm)],[c_0_24, c_0_68])).
fof(c_0_74, plain, ![X1]:(v7_ordinal1(X1)=>![X2]:(((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v3_group_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&l6_algstr_0(X2))=>(v3_ring_3(X2,X1)<=>k3_ring_3(X2)=X1))), inference(fof_simplification,[status(thm)],[d6_ring_3])).
cnf(c_0_75, plain, (v1_xboole_0(u1_struct_0(X1))|v1_funct_1(k8_funcop_1(u1_struct_0(X1),X2,k5_struct_0(X1)))|~l3_struct_0(X1)), inference(spm,[status(thm)],[c_0_29, c_0_68])).
cnf(c_0_76, plain, (v1_xboole_0(u1_struct_0(X1))|v1_funct_2(k8_funcop_1(u1_struct_0(X1),X2,k5_struct_0(X1)),X2,u1_struct_0(X1))|~l3_struct_0(X1)), inference(spm,[status(thm)],[c_0_30, c_0_68])).
cnf(c_0_77, negated_conjecture, (k3_funct_2(X1,u1_struct_0(esk1_0),k8_funcop_1(u1_struct_0(esk1_0),X1,u3_struct_0(esk1_0)),X2)=k1_funct_1(k8_funcop_1(u1_struct_0(esk1_0),X1,u3_struct_0(esk1_0)),X2)|v1_xboole_0(u1_struct_0(esk1_0))|v1_xboole_0(X1)|~m1_subset_1(X2,X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_50]), c_0_59]), c_0_60])).
cnf(c_0_78, negated_conjecture, (k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))),u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_40]), c_0_46])])).
cnf(c_0_79, plain, (v1_xboole_0(X1)|k8_funcop_1(X1,X3,X2)=k2_funcop_1(X3,X2)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_71])).
fof(c_0_80, plain, ![X42]:((~v2_struct_0(X42)|(v2_struct_0(X42)|~v4_vectsp_1(X42))|~l4_algstr_0(X42))&(v1_group_1(X42)|(v2_struct_0(X42)|~v4_vectsp_1(X42))|~l4_algstr_0(X42))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])).
cnf(c_0_81, plain, (v1_xboole_0(u1_struct_0(X1))|m1_subset_1(k8_funcop_1(u1_struct_0(X1),X2,k5_struct_0(X1)),k1_zfmisc_1(k2_zfmisc_1(X2,u1_struct_0(X1))))|~l4_algstr_0(X1)), inference(spm,[status(thm)],[c_0_73, c_0_32])).
fof(c_0_82, plain, ![X47, X48]:((~v3_ring_3(X48,X47)|k3_ring_3(X48)=X47|(v2_struct_0(X48)|~v13_algstr_0(X48)|~v3_group_1(X48)|~v2_rlvect_1(X48)|~v3_rlvect_1(X48)|~v4_rlvect_1(X48)|~v4_vectsp_1(X48)|~v5_vectsp_1(X48)|~l6_algstr_0(X48))|~v7_ordinal1(X47))&(k3_ring_3(X48)!=X47|v3_ring_3(X48,X47)|(v2_struct_0(X48)|~v13_algstr_0(X48)|~v3_group_1(X48)|~v2_rlvect_1(X48)|~v3_rlvect_1(X48)|~v4_rlvect_1(X48)|~v4_vectsp_1(X48)|~v5_vectsp_1(X48)|~l6_algstr_0(X48))|~v7_ordinal1(X47))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])])])).
cnf(c_0_83, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_84, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_85, plain, (v1_xboole_0(u1_struct_0(X1))|v1_funct_1(k8_funcop_1(u1_struct_0(X1),X2,k5_struct_0(X1)))|~l4_algstr_0(X1)), inference(spm,[status(thm)],[c_0_75, c_0_32])).
cnf(c_0_86, plain, (v1_xboole_0(u1_struct_0(X1))|v1_funct_2(k8_funcop_1(u1_struct_0(X1),X2,k5_struct_0(X1)),X2,u1_struct_0(X1))|~l4_algstr_0(X1)), inference(spm,[status(thm)],[c_0_76, c_0_32])).
cnf(c_0_87, negated_conjecture, (k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u3_struct_0(esk1_0)),esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))))=k1_funct_1(k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u3_struct_0(esk1_0)),esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))))|k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_77, c_0_78])).
fof(c_0_88, plain, ![X1, X2, X3]:((~v1_xboole_0(X1)&m1_subset_1(X3,X1))=>k1_funct_1(k2_funcop_1(X1,X2),X3)=X2), inference(fof_simplification,[status(thm)],[rd1_funcop_1])).
cnf(c_0_89, plain, (k8_funcop_1(u1_struct_0(X1),X2,k5_struct_0(X1))=k2_funcop_1(X2,k5_struct_0(X1))|v1_xboole_0(u1_struct_0(X1))|~l3_struct_0(X1)), inference(spm,[status(thm)],[c_0_79, c_0_68])).
fof(c_0_90, plain, ![X1]:(((~v2_struct_0(X1)&v1_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>(k2_binom(X1,X2,k5_numbers)=k1_group_1(X1)&k2_binom(X1,X2,np__1)=X2))), inference(fof_simplification,[status(thm)],[t8_binom])).
cnf(c_0_91, plain, (v1_group_1(X1)|v2_struct_0(X1)|~v4_vectsp_1(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_80])).
cnf(c_0_92, plain, (v1_xboole_0(u1_struct_0(X1))|m1_subset_1(k8_funcop_1(u1_struct_0(X1),X2,k5_struct_0(X1)),k1_zfmisc_1(k2_zfmisc_1(X2,u1_struct_0(X1))))|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_81, c_0_40])).
cnf(c_0_93, plain, (k3_ring_3(X1)=X2|v2_struct_0(X1)|~v3_ring_3(X1,X2)|~v13_algstr_0(X1)|~v3_group_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_94, negated_conjecture, (v3_ring_3(esk1_0,k5_numbers)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_95, plain, (v7_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_83, c_0_84])).
cnf(c_0_96, plain, (v1_xboole_0(u1_struct_0(X1))|v1_funct_1(k8_funcop_1(u1_struct_0(X1),X2,k5_struct_0(X1)))|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_85, c_0_40])).
cnf(c_0_97, plain, (v1_xboole_0(u1_struct_0(X1))|v1_funct_2(k8_funcop_1(u1_struct_0(X1),X2,k5_struct_0(X1)),X2,u1_struct_0(X1))|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_86, c_0_40])).
cnf(c_0_98, negated_conjecture, (k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0)),esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))))=k1_funct_1(k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0)),esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))))|k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|~l3_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_87, c_0_64])).
fof(c_0_99, plain, ![X60, X61, X62]:(v1_xboole_0(X60)|~m1_subset_1(X62,X60)|k1_funct_1(k2_funcop_1(X60,X61),X62)=X61), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])).
cnf(c_0_100, plain, (k8_funcop_1(u1_struct_0(X1),X2,k5_struct_0(X1))=k2_funcop_1(X2,k5_struct_0(X1))|v1_xboole_0(u1_struct_0(X1))|~l4_algstr_0(X1)), inference(spm,[status(thm)],[c_0_89, c_0_32])).
fof(c_0_101, plain, ![X76, X77]:((k2_binom(X76,X77,k5_numbers)=k1_group_1(X76)|~m1_subset_1(X77,u1_struct_0(X76))|(v2_struct_0(X76)|~v1_group_1(X76)|~l3_algstr_0(X76)))&(k2_binom(X76,X77,np__1)=X77|~m1_subset_1(X77,u1_struct_0(X76))|(v2_struct_0(X76)|~v1_group_1(X76)|~l3_algstr_0(X76)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])])])).
cnf(c_0_102, plain, (v1_group_1(X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v4_vectsp_1(X1)), inference(spm,[status(thm)],[c_0_91, c_0_40])).
fof(c_0_103, plain, ![X1, X2]:((((((((((~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))&v7_ordinal1(X2))=>k2_binom(X1,k5_struct_0(X1),X2)=k5_struct_0(X1)), inference(fof_simplification,[status(thm)],[rd2_field_15])).
cnf(c_0_104, 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_44])).
cnf(c_0_105, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(k8_funcop_1(u1_struct_0(esk1_0),X1,k5_struct_0(esk1_0)),k1_zfmisc_1(k2_zfmisc_1(X1,u1_struct_0(esk1_0))))), inference(spm,[status(thm)],[c_0_92, c_0_46])).
cnf(c_0_106, negated_conjecture, (k3_ring_3(esk1_0)=k5_numbers), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_95]), c_0_46]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57])]), c_0_58])).
cnf(c_0_107, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|v1_funct_1(k8_funcop_1(u1_struct_0(esk1_0),X1,k5_struct_0(esk1_0)))), inference(spm,[status(thm)],[c_0_96, c_0_46])).
cnf(c_0_108, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|v1_funct_2(k8_funcop_1(u1_struct_0(esk1_0),X1,k5_struct_0(esk1_0)),X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_97, c_0_46])).
cnf(c_0_109, negated_conjecture, (k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0)),esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))))=k1_funct_1(k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0)),esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))))|k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|~l4_algstr_0(esk1_0)), inference(spm,[status(thm)],[c_0_98, c_0_32])).
cnf(c_0_110, plain, (v1_xboole_0(X1)|k1_funct_1(k2_funcop_1(X1,X3),X2)=X3|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_99])).
cnf(c_0_111, plain, (k8_funcop_1(u1_struct_0(X1),X2,k5_struct_0(X1))=k2_funcop_1(X2,k5_struct_0(X1))|v1_xboole_0(u1_struct_0(X1))|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_100, c_0_40])).
cnf(c_0_112, plain, (k2_binom(X1,X2,k5_numbers)=k1_group_1(X1)|v2_struct_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v1_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_101])).
cnf(c_0_113, negated_conjecture, (v1_group_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_46]), c_0_53])]), c_0_58])).
fof(c_0_114, plain, ![X63, X64]:(v2_struct_0(X63)|~v13_algstr_0(X63)|~v2_rlvect_1(X63)|~v3_rlvect_1(X63)|~v4_rlvect_1(X63)|~v4_vectsp_1(X63)|~v5_vectsp_1(X63)|~v3_group_1(X63)|~l6_algstr_0(X63)|~v7_ordinal1(X64)|k2_binom(X63,k5_struct_0(X63),X64)=k5_struct_0(X63)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])])).
cnf(c_0_115, negated_conjecture, (k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0)),esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))))!=k2_binom(esk1_0,esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))),k5_numbers)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_105]), c_0_106]), c_0_46]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57])]), c_0_58]), c_0_107]), c_0_108])).
cnf(c_0_116, negated_conjecture, (k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0)),esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))))=k1_funct_1(k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0)),esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))))|k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_40]), c_0_46])])).
cnf(c_0_117, negated_conjecture, (k1_funct_1(k2_funcop_1(u1_struct_0(esk1_0),X1),esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))))=X1|k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_110, c_0_78])).
cnf(c_0_118, negated_conjecture, (k2_funcop_1(X1,k5_struct_0(esk1_0))=k8_funcop_1(u1_struct_0(esk1_0),X1,k5_struct_0(esk1_0))|v1_xboole_0(u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_111, c_0_46])).
cnf(c_0_119, negated_conjecture, (k2_binom(esk1_0,esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))),k5_numbers)=k1_group_1(esk1_0)|k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|~l3_algstr_0(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_78]), c_0_113])]), c_0_58])).
cnf(c_0_120, plain, (l3_algstr_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_121, plain, (k2_binom(X1,k5_struct_0(X1),k5_numbers)=k1_group_1(X1)|v2_struct_0(X1)|~l3_algstr_0(X1)|~l3_struct_0(X1)|~v1_group_1(X1)), inference(spm,[status(thm)],[c_0_112, c_0_68])).
cnf(c_0_122, plain, (v2_struct_0(X1)|k2_binom(X1,k5_struct_0(X1),X2)=k5_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)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_123, negated_conjecture, (k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|k1_funct_1(k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0)),esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))))!=k2_binom(esk1_0,esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))),k5_numbers)), inference(spm,[status(thm)],[c_0_115, c_0_116])).
cnf(c_0_124, negated_conjecture, (k1_funct_1(k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0)),esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))))=k5_struct_0(esk1_0)|k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_117, c_0_118])).
cnf(c_0_125, negated_conjecture, (k2_binom(esk1_0,esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))),k5_numbers)=k1_group_1(esk1_0)|k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|~l4_algstr_0(esk1_0)), inference(spm,[status(thm)],[c_0_119, c_0_120])).
cnf(c_0_126, plain, (k2_binom(X1,k5_struct_0(X1),k5_numbers)=k1_group_1(X1)|v2_struct_0(X1)|~v1_group_1(X1)|~l4_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_120]), c_0_32])).
cnf(c_0_127, plain, (k2_binom(X1,k5_struct_0(X1),k5_numbers)=k5_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(spm,[status(thm)],[c_0_122, c_0_95])).
fof(c_0_128, 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_129, negated_conjecture, (k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|k2_binom(esk1_0,esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))),k5_numbers)!=k5_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_123, c_0_124])).
cnf(c_0_130, negated_conjecture, (k2_binom(esk1_0,esk2_2(esk1_0,k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))),k5_numbers)=k1_group_1(esk1_0)|k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_40]), c_0_46])])).
cnf(c_0_131, negated_conjecture, (k2_binom(esk1_0,k5_struct_0(esk1_0),k5_numbers)=k1_group_1(esk1_0)|~l4_algstr_0(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126, c_0_113]), c_0_58])).
cnf(c_0_132, negated_conjecture, (k2_binom(esk1_0,k5_struct_0(esk1_0),k5_numbers)=k5_struct_0(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_46]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57])]), c_0_58])).
fof(c_0_133, plain, ![X59]:(v2_struct_0(X59)|~l1_struct_0(X59)|~v1_xboole_0(u1_struct_0(X59))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_128])])).
fof(c_0_134, plain, ![X54]:(~l2_struct_0(X54)|l1_struct_0(X54)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])])).
fof(c_0_135, plain, ![X72, X73, X74, X75]:((~r2_funct_2(X72,X73,X74,X75)|X74=X75|(~v1_funct_1(X74)|~v1_funct_2(X74,X72,X73)|~m1_subset_1(X74,k1_zfmisc_1(k2_zfmisc_1(X72,X73)))|~v1_funct_1(X75)|~v1_funct_2(X75,X72,X73)|~m1_subset_1(X75,k1_zfmisc_1(k2_zfmisc_1(X72,X73)))))&(X74!=X75|r2_funct_2(X72,X73,X74,X75)|(~v1_funct_1(X74)|~v1_funct_2(X74,X72,X73)|~m1_subset_1(X74,k1_zfmisc_1(k2_zfmisc_1(X72,X73)))|~v1_funct_1(X75)|~v1_funct_2(X75,X72,X73)|~m1_subset_1(X75,k1_zfmisc_1(k2_zfmisc_1(X72,X73)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_funct_2])])])).
cnf(c_0_136, negated_conjecture, (k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|k1_group_1(esk1_0)!=k5_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_129, c_0_130])).
cnf(c_0_137, negated_conjecture, (k1_group_1(esk1_0)=k5_struct_0(esk1_0)|~l4_algstr_0(esk1_0)), inference(spm,[status(thm)],[c_0_131, c_0_132])).
cnf(c_0_138, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_133])).
cnf(c_0_139, plain, (l1_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_134])).
fof(c_0_140, plain, ![X53]:((l2_struct_0(X53)|~l2_algstr_0(X53))&(l1_algstr_0(X53)|~l2_algstr_0(X53))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
cnf(c_0_141, 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_135])).
cnf(c_0_142, negated_conjecture, (k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|~l4_algstr_0(esk1_0)), inference(spm,[status(thm)],[c_0_136, c_0_137])).
cnf(c_0_143, plain, (v2_struct_0(X1)|~l2_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_138, c_0_139])).
cnf(c_0_144, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_140])).
cnf(c_0_145, 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_141])).
cnf(c_0_146, negated_conjecture, (~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_field_16(esk1_0),k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_147, negated_conjecture, (k8_funcop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_struct_0(esk1_0))=k5_field_16(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_40]), c_0_46])])).
cnf(c_0_148, plain, (v2_struct_0(X1)|~l2_algstr_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_143, c_0_144])).
cnf(c_0_149, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_150, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|r2_funct_2(X1,u1_struct_0(esk1_0),k8_funcop_1(u1_struct_0(esk1_0),X1,k5_struct_0(esk1_0)),k8_funcop_1(u1_struct_0(esk1_0),X1,k5_struct_0(esk1_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_105]), c_0_107]), c_0_108])).
cnf(c_0_151, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|~r2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k5_field_16(esk1_0),k5_field_16(esk1_0))), inference(spm,[status(thm)],[c_0_146, c_0_147])).
cnf(c_0_152, plain, (v2_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_148, c_0_149])).
cnf(c_0_153, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150, c_0_147]), c_0_151])).
cnf(c_0_154, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_153]), c_0_46])]), c_0_58]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 155
# Proof object clause steps            : 104
# Proof object formula steps           : 51
# Proof object conjectures             : 50
# Proof object clause conjectures      : 47
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 36
# Proof object initial formulas used   : 21
# Proof object generating inferences   : 66
# Proof object simplifying inferences  : 71
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 21
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 43
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 42
# Processed clauses                    : 266
# ...of these trivial                  : 0
# ...subsumed                          : 33
# ...remaining for further processing  : 233
# Other redundant clauses eliminated   : 3
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 43
# Backward-rewritten                   : 49
# Generated clauses                    : 249
# ...of the previous two non-trivial   : 247
# Contextual simplify-reflections      : 20
# Paramodulations                      : 246
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 3
# 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  : 96
#    Positive orientable unit clauses  : 15
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 79
# Current number of unprocessed clauses: 63
# ...number of literals in the above   : 277
# Current number of archived formulas  : 0
# Current number of archived clauses   : 134
# Clause-clause subsumption calls (NU) : 18463
# Rec. Clause-clause subsumption calls : 7519
# Non-unit clause-clause subsumptions  : 96
# Unit Clause-clause subsumption calls : 9
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 15209

# -------------------------------------------------
# User time                : 0.052 s
# System time              : 0.004 s
# Total time               : 0.056 s
# Maximum resident set size: 3468 pages
