# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_B02_F1_AE_CS_SP_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(free_g3_algstr_0, axiom, ![X1, X2]:(((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))=>![X3, X4]:(g3_algstr_0(X1,X2)=g3_algstr_0(X3,X4)=>(X1=X3&X2=X4))), file('group_24/group_24__t9_group_24', free_g3_algstr_0)).
fof(dt_u2_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>((v1_funct_1(u2_algstr_0(X1))&v1_funct_2(u2_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))&m1_subset_1(u2_algstr_0(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))))), file('group_24/group_24__t9_group_24', dt_u2_algstr_0)).
fof(abstractness_v15_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>(v15_algstr_0(X1)=>X1=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))), file('group_24/group_24__t9_group_24', abstractness_v15_algstr_0)).
fof(dt_g3_algstr_0, axiom, ![X1, X2]:(((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))=>(v15_algstr_0(g3_algstr_0(X1,X2))&l3_algstr_0(g3_algstr_0(X1,X2)))), file('group_24/group_24__t9_group_24', dt_g3_algstr_0)).
fof(d18_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k6_algstr_0(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u2_algstr_0(X1),X2,X3)))), file('group_24/group_24__t9_group_24', d18_algstr_0)).
fof(d6_group_6, axiom, ![X1]:((~(v2_struct_0(X1))&l3_algstr_0(X1))=>![X2]:((~(v2_struct_0(X2))&l3_algstr_0(X2))=>![X3]:(((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))))=>(v1_group_6(X3,X1,X2)<=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,k6_algstr_0(X1,X4,X5))=k6_algstr_0(X2,k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X5)))))))), file('group_24/group_24__t9_group_24', d6_group_6)).
fof(d11_group_6, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>(r1_group_6(X1,X2)<=>?[X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)))&v1_group_6(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))))&v3_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)))))), file('group_24/group_24__t9_group_24', d11_group_6)).
fof(fc1_group_1, axiom, ![X1]:((~(v2_struct_0(X1))&l3_algstr_0(X1))=>(~(v2_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))&v15_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))), file('group_24/group_24__t9_group_24', fc1_group_1)).
fof(fc1_gr_cy_1, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>(v15_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))&v2_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))), file('group_24/group_24__t9_group_24', fc1_gr_cy_1)).
fof(fc2_group_1, axiom, ![X1]:(((~(v2_struct_0(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>(v15_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))&v3_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))), file('group_24/group_24__t9_group_24', fc2_group_1)).
fof(reflexivity_r1_group_6, axiom, ![X1, X2]:((((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&~(v2_struct_0(X2)))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>r1_group_6(X1,X1)), file('group_24/group_24__t9_group_24', reflexivity_r1_group_6)).
fof(t9_group_24, conjecture, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>r2_group_6(X1,g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))), file('group_24/group_24__t9_group_24', t9_group_24)).
fof(redefinition_r2_group_6, axiom, ![X1, X2]:((((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&~(v2_struct_0(X2)))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>(r2_group_6(X1,X2)<=>r1_group_6(X1,X2))), file('group_24/group_24__t9_group_24', redefinition_r2_group_6)).
fof(c_0_13, plain, ![X55, X56, X57, X58]:((X55=X57|g3_algstr_0(X55,X56)!=g3_algstr_0(X57,X58)|(~v1_funct_1(X56)|~v1_funct_2(X56,k2_zfmisc_1(X55,X55),X55)|~m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X55,X55),X55)))))&(X56=X58|g3_algstr_0(X55,X56)!=g3_algstr_0(X57,X58)|(~v1_funct_1(X56)|~v1_funct_2(X56,k2_zfmisc_1(X55,X55),X55)|~m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X55,X55),X55)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_algstr_0])])])])).
fof(c_0_14, plain, ![X51]:(((v1_funct_1(u2_algstr_0(X51))|~l3_algstr_0(X51))&(v1_funct_2(u2_algstr_0(X51),k2_zfmisc_1(u1_struct_0(X51),u1_struct_0(X51)),u1_struct_0(X51))|~l3_algstr_0(X51)))&(m1_subset_1(u2_algstr_0(X51),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X51),u1_struct_0(X51)),u1_struct_0(X51))))|~l3_algstr_0(X51))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_algstr_0])])])).
cnf(c_0_15, plain, (X1=X2|g3_algstr_0(X3,X1)!=g3_algstr_0(X4,X2)|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_16, plain, (v1_funct_2(u2_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_17, plain, (v1_funct_1(u2_algstr_0(X1))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_18, plain, (m1_subset_1(u2_algstr_0(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_19, plain, ![X34]:(~l3_algstr_0(X34)|(~v15_algstr_0(X34)|X34=g3_algstr_0(u1_struct_0(X34),u2_algstr_0(X34)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v15_algstr_0])])).
cnf(c_0_20, plain, (u2_algstr_0(X1)=X2|g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))!=g3_algstr_0(X3,X2)|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17]), c_0_18])).
cnf(c_0_21, plain, (X1=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))|~l3_algstr_0(X1)|~v15_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_22, plain, ![X49, X50]:((v15_algstr_0(g3_algstr_0(X49,X50))|(~v1_funct_1(X50)|~v1_funct_2(X50,k2_zfmisc_1(X49,X49),X49)|~m1_subset_1(X50,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X49,X49),X49)))))&(l3_algstr_0(g3_algstr_0(X49,X50))|(~v1_funct_1(X50)|~v1_funct_2(X50,k2_zfmisc_1(X49,X49),X49)|~m1_subset_1(X50,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X49,X49),X49)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_algstr_0])])])).
cnf(c_0_23, plain, (u2_algstr_0(X1)=X2|X1!=g3_algstr_0(X3,X2)|~v15_algstr_0(X1)|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_24, plain, (v15_algstr_0(g3_algstr_0(X1,X2))|~v1_funct_1(X2)|~v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_25, plain, (u2_algstr_0(g3_algstr_0(X1,X2))=X2|~v15_algstr_0(g3_algstr_0(X1,X2))|~l3_algstr_0(g3_algstr_0(X1,X2))), inference(er,[status(thm)],[c_0_23])).
cnf(c_0_26, plain, (v15_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_16]), c_0_17]), c_0_18])).
cnf(c_0_27, plain, (X1=X2|g3_algstr_0(X1,X3)!=g3_algstr_0(X2,X4)|~v1_funct_1(X3)|~v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_28, plain, (l3_algstr_0(g3_algstr_0(X1,X2))|~v1_funct_1(X2)|~v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_29, plain, (u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))=u2_algstr_0(X1)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_30, plain, (u1_struct_0(X1)=X2|g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))!=g3_algstr_0(X2,X3)|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_16]), c_0_17]), c_0_18])).
cnf(c_0_31, plain, (l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~m1_subset_1(u2_algstr_0(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))))|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_16]), c_0_17])).
cnf(c_0_32, plain, (m1_subset_1(u2_algstr_0(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))),u1_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))),u1_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))))|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_18, c_0_29])).
cnf(c_0_33, plain, (u1_struct_0(X1)=X2|X1!=g3_algstr_0(X2,X3)|~v15_algstr_0(X1)|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_30, c_0_21])).
fof(c_0_34, plain, ![X39, X40, X41]:(~l3_algstr_0(X39)|(~m1_subset_1(X40,u1_struct_0(X39))|(~m1_subset_1(X41,u1_struct_0(X39))|k6_algstr_0(X39,X40,X41)=k4_binop_1(u1_struct_0(X39),u2_algstr_0(X39),X40,X41)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d18_algstr_0])])])).
cnf(c_0_35, plain, (l3_algstr_0(g3_algstr_0(u1_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))),u2_algstr_0(X1)))|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_29]), c_0_32])).
cnf(c_0_36, plain, (u1_struct_0(g3_algstr_0(X1,X2))=X1|~v15_algstr_0(g3_algstr_0(X1,X2))|~l3_algstr_0(g3_algstr_0(X1,X2))), inference(er,[status(thm)],[c_0_33])).
fof(c_0_37, plain, ![X1]:((~v2_struct_0(X1)&l3_algstr_0(X1))=>![X2]:((~v2_struct_0(X2)&l3_algstr_0(X2))=>![X3]:(((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))))=>(v1_group_6(X3,X1,X2)<=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,k6_algstr_0(X1,X4,X5))=k6_algstr_0(X2,k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X5)))))))), inference(fof_simplification,[status(thm)],[d6_group_6])).
cnf(c_0_38, plain, (k6_algstr_0(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u2_algstr_0(X1),X2,X3)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_34])).
fof(c_0_39, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~v2_struct_0(X2)&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>(r1_group_6(X1,X2)<=>?[X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)))&v1_group_6(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))))&v3_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)))))), inference(fof_simplification,[status(thm)],[d11_group_6])).
cnf(c_0_40, plain, (l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~v15_algstr_0(X1)|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_35, c_0_21])).
cnf(c_0_41, plain, (u1_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))=u1_struct_0(X1)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_36, c_0_26])).
fof(c_0_42, plain, ![X42, X43, X44, X45, X46]:((~v1_group_6(X44,X42,X43)|(~m1_subset_1(X45,u1_struct_0(X42))|(~m1_subset_1(X46,u1_struct_0(X42))|k3_funct_2(u1_struct_0(X42),u1_struct_0(X43),X44,k6_algstr_0(X42,X45,X46))=k6_algstr_0(X43,k3_funct_2(u1_struct_0(X42),u1_struct_0(X43),X44,X45),k3_funct_2(u1_struct_0(X42),u1_struct_0(X43),X44,X46))))|(~v1_funct_1(X44)|~v1_funct_2(X44,u1_struct_0(X42),u1_struct_0(X43))|~m1_subset_1(X44,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X42),u1_struct_0(X43)))))|(v2_struct_0(X43)|~l3_algstr_0(X43))|(v2_struct_0(X42)|~l3_algstr_0(X42)))&((m1_subset_1(esk3_3(X42,X43,X44),u1_struct_0(X42))|v1_group_6(X44,X42,X43)|(~v1_funct_1(X44)|~v1_funct_2(X44,u1_struct_0(X42),u1_struct_0(X43))|~m1_subset_1(X44,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X42),u1_struct_0(X43)))))|(v2_struct_0(X43)|~l3_algstr_0(X43))|(v2_struct_0(X42)|~l3_algstr_0(X42)))&((m1_subset_1(esk4_3(X42,X43,X44),u1_struct_0(X42))|v1_group_6(X44,X42,X43)|(~v1_funct_1(X44)|~v1_funct_2(X44,u1_struct_0(X42),u1_struct_0(X43))|~m1_subset_1(X44,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X42),u1_struct_0(X43)))))|(v2_struct_0(X43)|~l3_algstr_0(X43))|(v2_struct_0(X42)|~l3_algstr_0(X42)))&(k3_funct_2(u1_struct_0(X42),u1_struct_0(X43),X44,k6_algstr_0(X42,esk3_3(X42,X43,X44),esk4_3(X42,X43,X44)))!=k6_algstr_0(X43,k3_funct_2(u1_struct_0(X42),u1_struct_0(X43),X44,esk3_3(X42,X43,X44)),k3_funct_2(u1_struct_0(X42),u1_struct_0(X43),X44,esk4_3(X42,X43,X44)))|v1_group_6(X44,X42,X43)|(~v1_funct_1(X44)|~v1_funct_2(X44,u1_struct_0(X42),u1_struct_0(X43))|~m1_subset_1(X44,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X42),u1_struct_0(X43)))))|(v2_struct_0(X43)|~l3_algstr_0(X43))|(v2_struct_0(X42)|~l3_algstr_0(X42)))))), 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_37])])])])])).
cnf(c_0_43, plain, (k4_binop_1(u1_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))),u2_algstr_0(X1),X2,X3)=k6_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2,X3)|~m1_subset_1(X3,u1_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))|~m1_subset_1(X2,u1_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_38, c_0_29])).
fof(c_0_44, plain, ![X35, X36, X38]:((((((v1_funct_1(esk2_2(X35,X36))|~r1_group_6(X35,X36)|(v2_struct_0(X36)|~v2_group_1(X36)|~v3_group_1(X36)|~l3_algstr_0(X36))|(v2_struct_0(X35)|~v2_group_1(X35)|~v3_group_1(X35)|~l3_algstr_0(X35)))&(v1_funct_2(esk2_2(X35,X36),u1_struct_0(X35),u1_struct_0(X36))|~r1_group_6(X35,X36)|(v2_struct_0(X36)|~v2_group_1(X36)|~v3_group_1(X36)|~l3_algstr_0(X36))|(v2_struct_0(X35)|~v2_group_1(X35)|~v3_group_1(X35)|~l3_algstr_0(X35))))&(v1_group_6(esk2_2(X35,X36),X35,X36)|~r1_group_6(X35,X36)|(v2_struct_0(X36)|~v2_group_1(X36)|~v3_group_1(X36)|~l3_algstr_0(X36))|(v2_struct_0(X35)|~v2_group_1(X35)|~v3_group_1(X35)|~l3_algstr_0(X35))))&(m1_subset_1(esk2_2(X35,X36),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X35),u1_struct_0(X36))))|~r1_group_6(X35,X36)|(v2_struct_0(X36)|~v2_group_1(X36)|~v3_group_1(X36)|~l3_algstr_0(X36))|(v2_struct_0(X35)|~v2_group_1(X35)|~v3_group_1(X35)|~l3_algstr_0(X35))))&(v3_funct_2(esk2_2(X35,X36),u1_struct_0(X35),u1_struct_0(X36))|~r1_group_6(X35,X36)|(v2_struct_0(X36)|~v2_group_1(X36)|~v3_group_1(X36)|~l3_algstr_0(X36))|(v2_struct_0(X35)|~v2_group_1(X35)|~v3_group_1(X35)|~l3_algstr_0(X35))))&(~v1_funct_1(X38)|~v1_funct_2(X38,u1_struct_0(X35),u1_struct_0(X36))|~v1_group_6(X38,X35,X36)|~m1_subset_1(X38,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X35),u1_struct_0(X36))))|~v3_funct_2(X38,u1_struct_0(X35),u1_struct_0(X36))|r1_group_6(X35,X36)|(v2_struct_0(X36)|~v2_group_1(X36)|~v3_group_1(X36)|~l3_algstr_0(X36))|(v2_struct_0(X35)|~v2_group_1(X35)|~v3_group_1(X35)|~l3_algstr_0(X35)))), 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_39])])])])])).
cnf(c_0_45, plain, (l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_26])).
cnf(c_0_46, plain, (k3_funct_2(u1_struct_0(X2),u1_struct_0(X3),X1,k6_algstr_0(X2,X4,X5))=k6_algstr_0(X3,k3_funct_2(u1_struct_0(X2),u1_struct_0(X3),X1,X4),k3_funct_2(u1_struct_0(X2),u1_struct_0(X3),X1,X5))|v2_struct_0(X3)|v2_struct_0(X2)|~v1_group_6(X1,X2,X3)|~m1_subset_1(X4,u1_struct_0(X2))|~m1_subset_1(X5,u1_struct_0(X2))|~v1_funct_1(X1)|~v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3))))|~l3_algstr_0(X3)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_47, plain, (k4_binop_1(u1_struct_0(X1),u2_algstr_0(X1),X2,X3)=k6_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2,X3)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_43, c_0_41])).
fof(c_0_48, plain, ![X1]:((~v2_struct_0(X1)&l3_algstr_0(X1))=>(~v2_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))&v15_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))), inference(fof_simplification,[status(thm)],[fc1_group_1])).
cnf(c_0_49, plain, (v3_funct_2(esk2_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))|v2_struct_0(X2)|v2_struct_0(X1)|~r1_group_6(X1,X2)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_50, plain, (u1_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))=u1_struct_0(X1)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_41]), c_0_45])).
cnf(c_0_51, plain, (v1_funct_2(esk2_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))|v2_struct_0(X2)|v2_struct_0(X1)|~r1_group_6(X1,X2)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_52, plain, (m1_subset_1(esk2_2(X1,X2),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2))))|v2_struct_0(X2)|v2_struct_0(X1)|~r1_group_6(X1,X2)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
fof(c_0_53, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>(v15_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))&v2_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))), inference(fof_simplification,[status(thm)],[fc1_gr_cy_1])).
fof(c_0_54, plain, ![X1]:(((~v2_struct_0(X1)&v3_group_1(X1))&l3_algstr_0(X1))=>(v15_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))&v3_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))), inference(fof_simplification,[status(thm)],[fc2_group_1])).
cnf(c_0_55, plain, (k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,k6_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X4,X5))=k6_algstr_0(X2,k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X5))|v2_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|v2_struct_0(X2)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2))))|~m1_subset_1(X5,u1_struct_0(X1))|~m1_subset_1(X4,u1_struct_0(X1))|~v1_group_6(X3,g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2)|~v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))|~v1_funct_1(X3)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X2)|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_46, c_0_41])).
cnf(c_0_56, plain, (k6_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2,X3)=k6_algstr_0(X1,X2,X3)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_38, c_0_47])).
fof(c_0_57, plain, ![X53]:((~v2_struct_0(g3_algstr_0(u1_struct_0(X53),u2_algstr_0(X53)))|(v2_struct_0(X53)|~l3_algstr_0(X53)))&(v15_algstr_0(g3_algstr_0(u1_struct_0(X53),u2_algstr_0(X53)))|(v2_struct_0(X53)|~l3_algstr_0(X53)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])).
cnf(c_0_58, plain, (r1_group_6(X2,X3)|v2_struct_0(X3)|v2_struct_0(X2)|~v1_funct_1(X1)|~v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))|~v1_group_6(X1,X2,X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3))))|~v3_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_59, plain, (v3_funct_2(esk2_2(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))),X2),u1_struct_0(X1),u1_struct_0(X2))|v2_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))|v2_struct_0(X2)|~r1_group_6(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))),X2)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X2)|~l3_algstr_0(X1)|~v3_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))|~v3_group_1(X2)|~v2_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))|~v2_group_1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_45])).
cnf(c_0_60, plain, (v1_funct_2(esk2_2(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))),X2),u1_struct_0(X1),u1_struct_0(X2))|v2_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))|v2_struct_0(X2)|~r1_group_6(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))),X2)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X2)|~l3_algstr_0(X1)|~v3_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))|~v3_group_1(X2)|~v2_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))|~v2_group_1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_50]), c_0_45])).
cnf(c_0_61, plain, (m1_subset_1(esk2_2(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))),X2),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2))))|v2_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))|v2_struct_0(X2)|~r1_group_6(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))),X2)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X2)|~l3_algstr_0(X1)|~v3_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))|~v3_group_1(X2)|~v2_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))|~v2_group_1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_50]), c_0_45])).
fof(c_0_62, plain, ![X52]:((v15_algstr_0(g3_algstr_0(u1_struct_0(X52),u2_algstr_0(X52)))|(v2_struct_0(X52)|~v2_group_1(X52)|~v3_group_1(X52)|~l3_algstr_0(X52)))&(v2_group_1(g3_algstr_0(u1_struct_0(X52),u2_algstr_0(X52)))|(v2_struct_0(X52)|~v2_group_1(X52)|~v3_group_1(X52)|~l3_algstr_0(X52)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])).
fof(c_0_63, plain, ![X54]:((v15_algstr_0(g3_algstr_0(u1_struct_0(X54),u2_algstr_0(X54)))|(v2_struct_0(X54)|~v3_group_1(X54)|~l3_algstr_0(X54)))&(v3_group_1(g3_algstr_0(u1_struct_0(X54),u2_algstr_0(X54)))|(v2_struct_0(X54)|~v3_group_1(X54)|~l3_algstr_0(X54)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])).
cnf(c_0_64, plain, (v1_group_6(X3,X1,X2)|v2_struct_0(X2)|v2_struct_0(X1)|k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,k6_algstr_0(X1,esk3_3(X1,X2,X3),esk4_3(X1,X2,X3)))!=k6_algstr_0(X2,k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,esk3_3(X1,X2,X3)),k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,esk4_3(X1,X2,X3)))|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2))))|~l3_algstr_0(X2)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_65, plain, (k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,k6_algstr_0(X1,X4,X5))=k6_algstr_0(X2,k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X5))|v2_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|v2_struct_0(X2)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2))))|~m1_subset_1(X5,u1_struct_0(X1))|~m1_subset_1(X4,u1_struct_0(X1))|~v1_group_6(X3,g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2)|~v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))|~v1_funct_1(X3)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X2)|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_66, plain, (m1_subset_1(esk3_3(X1,X2,X3),u1_struct_0(X1))|v1_group_6(X3,X1,X2)|v2_struct_0(X2)|v2_struct_0(X1)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2))))|~l3_algstr_0(X2)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_67, plain, (m1_subset_1(esk4_3(X1,X2,X3),u1_struct_0(X1))|v1_group_6(X3,X1,X2)|v2_struct_0(X2)|v2_struct_0(X1)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2))))|~l3_algstr_0(X2)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_68, plain, (v2_struct_0(X1)|~v2_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_69, plain, (r1_group_6(X1,X2)|v2_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))|v2_struct_0(X1)|v2_struct_0(X2)|~v1_group_6(esk2_2(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))),X2),X1,X2)|~v1_funct_1(esk2_2(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))),X2))|~r1_group_6(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))),X2)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X2)|~l3_algstr_0(X1)|~v3_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))|~v3_group_1(X2)|~v3_group_1(X1)|~v2_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))|~v2_group_1(X2)|~v2_group_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_60]), c_0_61])).
cnf(c_0_70, plain, (v2_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_71, plain, (v3_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|v2_struct_0(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_72, plain, (v1_group_6(X1,X2,X3)|v2_struct_0(X2)|v2_struct_0(X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3))))|~v1_group_6(X1,g3_algstr_0(u1_struct_0(X2),u2_algstr_0(X2)),X3)|~v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))|~v1_funct_1(X1)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X2),u2_algstr_0(X2)))|~l3_algstr_0(X3)|~l3_algstr_0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_66]), c_0_67]), c_0_68])).
cnf(c_0_73, plain, (v1_group_6(esk2_2(X1,X2),X1,X2)|v2_struct_0(X2)|v2_struct_0(X1)|~r1_group_6(X1,X2)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_74, plain, (v1_funct_1(esk2_2(X1,X2))|v2_struct_0(X2)|v2_struct_0(X1)|~r1_group_6(X1,X2)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_75, plain, (v1_funct_2(esk2_2(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2),u1_struct_0(X1),u1_struct_0(X2))|v2_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|v2_struct_0(X2)|~r1_group_6(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X2)|~l3_algstr_0(X1)|~v3_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~v3_group_1(X2)|~v2_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~v2_group_1(X2)), inference(spm,[status(thm)],[c_0_51, c_0_41])).
cnf(c_0_76, plain, (m1_subset_1(esk2_2(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2))))|v2_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|v2_struct_0(X2)|~r1_group_6(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X2)|~l3_algstr_0(X1)|~v3_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~v3_group_1(X2)|~v2_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~v2_group_1(X2)), inference(spm,[status(thm)],[c_0_52, c_0_41])).
fof(c_0_77, plain, ![X1, X2]:((((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&~v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>r1_group_6(X1,X1)), inference(fof_simplification,[status(thm)],[reflexivity_r1_group_6])).
fof(c_0_78, negated_conjecture, ~(![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>r2_group_6(X1,g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t9_group_24])])).
fof(c_0_79, plain, ![X1, X2]:((((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&~v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>(r2_group_6(X1,X2)<=>r1_group_6(X1,X2))), inference(fof_simplification,[status(thm)],[redefinition_r2_group_6])).
cnf(c_0_80, plain, (r1_group_6(X1,X2)|v2_struct_0(X2)|v2_struct_0(X1)|~v1_group_6(esk2_2(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2),X1,X2)|~v1_funct_1(esk2_2(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2))|~r1_group_6(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X2)|~l3_algstr_0(X1)|~v3_group_1(X2)|~v3_group_1(X1)|~v2_group_1(X2)|~v2_group_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_29]), c_0_70]), c_0_71]), c_0_68])).
cnf(c_0_81, plain, (v1_group_6(esk2_2(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2),X1,X2)|v2_struct_0(X2)|v2_struct_0(X1)|~r1_group_6(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X2)|~l3_algstr_0(X1)|~v3_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~v3_group_1(X2)|~v2_group_1(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~v2_group_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_68])).
fof(c_0_82, plain, ![X61, X62]:(v2_struct_0(X61)|~v2_group_1(X61)|~v3_group_1(X61)|~l3_algstr_0(X61)|v2_struct_0(X62)|~v2_group_1(X62)|~v3_group_1(X62)|~l3_algstr_0(X62)|r1_group_6(X61,X61)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])).
fof(c_0_83, negated_conjecture, ((((~v2_struct_0(esk1_0)&v2_group_1(esk1_0))&v3_group_1(esk1_0))&l3_algstr_0(esk1_0))&~r2_group_6(esk1_0,g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])).
fof(c_0_84, plain, ![X59, X60]:((~r2_group_6(X59,X60)|r1_group_6(X59,X60)|(v2_struct_0(X59)|~v2_group_1(X59)|~v3_group_1(X59)|~l3_algstr_0(X59)|v2_struct_0(X60)|~v2_group_1(X60)|~v3_group_1(X60)|~l3_algstr_0(X60)))&(~r1_group_6(X59,X60)|r2_group_6(X59,X60)|(v2_struct_0(X59)|~v2_group_1(X59)|~v3_group_1(X59)|~l3_algstr_0(X59)|v2_struct_0(X60)|~v2_group_1(X60)|~v3_group_1(X60)|~l3_algstr_0(X60)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])).
cnf(c_0_85, plain, (r1_group_6(X1,X2)|v2_struct_0(X1)|v2_struct_0(X2)|~v1_funct_1(esk2_2(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2))|~r1_group_6(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X2)|~l3_algstr_0(X1)|~v3_group_1(X2)|~v3_group_1(X1)|~v2_group_1(X2)|~v2_group_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_70]), c_0_71])).
cnf(c_0_86, plain, (v2_struct_0(X1)|v2_struct_0(X2)|r1_group_6(X1,X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_87, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_88, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_89, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_90, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_91, negated_conjecture, (~r2_group_6(esk1_0,g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_92, plain, (r2_group_6(X1,X2)|v2_struct_0(X1)|v2_struct_0(X2)|~r1_group_6(X1,X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_84])).
cnf(c_0_93, plain, (r1_group_6(X1,X2)|v2_struct_0(X2)|v2_struct_0(X1)|~r1_group_6(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)),X2)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X2)|~l3_algstr_0(X1)|~v3_group_1(X2)|~v3_group_1(X1)|~v2_group_1(X2)|~v2_group_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_74]), c_0_70]), c_0_71]), c_0_68])).
cnf(c_0_94, negated_conjecture, (r1_group_6(X1,X1)|v2_struct_0(X1)|~l3_algstr_0(X1)|~v3_group_1(X1)|~v2_group_1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_88]), c_0_89])]), c_0_90])).
cnf(c_0_95, negated_conjecture, (v2_struct_0(g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))|~r1_group_6(esk1_0,g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))|~l3_algstr_0(g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))|~v3_group_1(g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))|~v2_group_1(g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_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_91, c_0_92]), c_0_87]), c_0_88]), c_0_89])]), c_0_90])).
cnf(c_0_96, negated_conjecture, (r1_group_6(X1,g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|v2_struct_0(X1)|~l3_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|~l3_algstr_0(X1)|~v3_group_1(X1)|~v2_group_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_70]), c_0_71]), c_0_68])).
cnf(c_0_97, negated_conjecture, (v2_struct_0(g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))|~l3_algstr_0(g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))|~v3_group_1(g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))|~v2_group_1(g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_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_95, c_0_96]), c_0_87]), c_0_88]), c_0_89])]), c_0_90])).
cnf(c_0_98, negated_conjecture, (~l3_algstr_0(g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))|~v3_group_1(g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))|~v2_group_1(g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_97]), c_0_87])]), c_0_90])).
cnf(c_0_99, negated_conjecture, (~m1_subset_1(u2_algstr_0(esk1_0),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))))|~v3_group_1(g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))|~v2_group_1(g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_31]), c_0_87])])).
cnf(c_0_100, negated_conjecture, (~m1_subset_1(u2_algstr_0(esk1_0),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))))|~v2_group_1(g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_71]), c_0_87]), c_0_88])]), c_0_90])).
cnf(c_0_101, negated_conjecture, (~m1_subset_1(u2_algstr_0(esk1_0),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_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(spm,[status(thm)],[c_0_100, c_0_70]), c_0_87]), c_0_88]), c_0_89])]), c_0_90])).
cnf(c_0_102, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_18]), c_0_87])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 103
# Proof object clause steps            : 69
# Proof object formula steps           : 34
# Proof object conjectures             : 17
# Proof object clause conjectures      : 14
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 29
# Proof object initial formulas used   : 13
# Proof object generating inferences   : 40
# Proof object simplifying inferences  : 63
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 13
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 33
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 33
# Processed clauses                    : 59017
# ...of these trivial                  : 1262
# ...subsumed                          : 55473
# ...remaining for further processing  : 2282
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 7105
# Backward-subsumed                    : 37
# Backward-rewritten                   : 0
# Generated clauses                    : 1724855
# ...of the previous two non-trivial   : 1721769
# Contextual simplify-reflections      : 2825
# Paramodulations                      : 1724460
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 395
# 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  : 2214
#    Positive orientable unit clauses  : 3
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 2207
# Current number of unprocessed clauses: 898928
# ...number of literals in the above   : 5910717
# Current number of archived formulas  : 0
# Current number of archived clauses   : 68
# Clause-clause subsumption calls (NU) : 10328687
# Rec. Clause-clause subsumption calls : 1334522
# Non-unit clause-clause subsumptions  : 58331
# Unit Clause-clause subsumption calls : 48
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 398233509

# -------------------------------------------------
# User time                : 83.110 s
# System time              : 1.266 s
# Total time               : 84.376 s
# Maximum resident set size: 3520 pages
