# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0V
# and selection function PSelectComplexExceptRRHorn.
#
# Preprocessing time       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(l35_group_24, 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))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))=>![X5]:(m1_subset_1(X5,u1_struct_0(k1_group_24(X1,X2,X3)))=>(X5=k5_group_7(X1,X2,k1_group_1(X1),k1_group_1(X2))=>(k6_algstr_0(k1_group_24(X1,X2,X3),X4,X5)=X4&k6_algstr_0(k1_group_24(X1,X2,X3),X5,X4)=X4))))))), file('group_24/group_24__t29_group_24', l35_group_24)).
fof(t29_group_24, conjecture, ![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))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>k1_group_1(k1_group_24(X1,X2,X3))=k5_group_7(X1,X2,k1_group_1(X1),k1_group_1(X2))))), file('group_24/group_24__t29_group_24', t29_group_24)).
fof(fc3_group_24, axiom, ![X1, X2, X3]:((((((((((((~(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))&v1_funct_1(X3))&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>((~(v2_struct_0(k1_group_24(X1,X2,X3)))&v15_algstr_0(k1_group_24(X1,X2,X3)))&v1_group_1(k1_group_24(X1,X2,X3)))), file('group_24/group_24__t29_group_24', fc3_group_24)).
fof(dt_k1_group_24, axiom, ![X1, X2, X3]:((((((((((((~(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))&v1_funct_1(X3))&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>((~(v2_struct_0(k1_group_24(X1,X2,X3)))&v15_algstr_0(k1_group_24(X1,X2,X3)))&l3_algstr_0(k1_group_24(X1,X2,X3)))), file('group_24/group_24__t29_group_24', dt_k1_group_24)).
fof(dt_k5_group_7, axiom, ![X1, X2, X3, X4]:((((((~(v2_struct_0(X1))&l3_algstr_0(X1))&~(v2_struct_0(X2)))&l3_algstr_0(X2))&m1_subset_1(X3,u1_struct_0(X1)))&m1_subset_1(X4,u1_struct_0(X2)))=>m1_subset_1(k5_group_7(X1,X2,X3,X4),u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))), file('group_24/group_24__t29_group_24', dt_k5_group_7)).
fof(t23_group_24, 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))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>u1_struct_0(k1_group_24(X1,X2,X3))=u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2)))))), file('group_24/group_24__t29_group_24', t23_group_24)).
fof(d4_group_1, axiom, ![X1]:(l3_algstr_0(X1)=>(v1_group_1(X1)=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>(X2=k1_group_1(X1)<=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(k6_algstr_0(X1,X3,X2)=X3&k6_algstr_0(X1,X2,X3)=X3)))))), file('group_24/group_24__t29_group_24', d4_group_1)).
fof(dt_k1_group_1, axiom, ![X1]:(l3_algstr_0(X1)=>m1_subset_1(k1_group_1(X1),u1_struct_0(X1))), file('group_24/group_24__t29_group_24', dt_k1_group_1)).
fof(c_0_8, 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))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))=>![X5]:(m1_subset_1(X5,u1_struct_0(k1_group_24(X1,X2,X3)))=>(X5=k5_group_7(X1,X2,k1_group_1(X1),k1_group_1(X2))=>(k6_algstr_0(k1_group_24(X1,X2,X3),X4,X5)=X4&k6_algstr_0(k1_group_24(X1,X2,X3),X5,X4)=X4))))))), inference(fof_simplification,[status(thm)],[l35_group_24])).
fof(c_0_9, negated_conjecture, ~(![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))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>k1_group_1(k1_group_24(X1,X2,X3))=k5_group_7(X1,X2,k1_group_1(X1),k1_group_1(X2)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t29_group_24])])).
fof(c_0_10, plain, ![X1, X2, X3]:((((((((((((~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))&v1_funct_1(X3))&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>((~v2_struct_0(k1_group_24(X1,X2,X3))&v15_algstr_0(k1_group_24(X1,X2,X3)))&v1_group_1(k1_group_24(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[fc3_group_24])).
fof(c_0_11, plain, ![X1, X2, X3]:((((((((((((~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))&v1_funct_1(X3))&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>((~v2_struct_0(k1_group_24(X1,X2,X3))&v15_algstr_0(k1_group_24(X1,X2,X3)))&l3_algstr_0(k1_group_24(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[dt_k1_group_24])).
fof(c_0_12, plain, ![X49, X50, X51, X52, X53]:((k6_algstr_0(k1_group_24(X49,X50,X51),X52,X53)=X52|X53!=k5_group_7(X49,X50,k1_group_1(X49),k1_group_1(X50))|~m1_subset_1(X53,u1_struct_0(k1_group_24(X49,X50,X51)))|~m1_subset_1(X52,u1_struct_0(k1_group_24(X49,X50,X51)))|(~v1_funct_1(X51)|~v1_funct_2(X51,u1_struct_0(X50),u1_struct_0(k3_autgroup(X49)))|~v1_group_6(X51,X50,k3_autgroup(X49))|~m1_subset_1(X51,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X50),u1_struct_0(k3_autgroup(X49))))))|(v2_struct_0(X50)|~v2_group_1(X50)|~v3_group_1(X50)|~l3_algstr_0(X50))|(v2_struct_0(X49)|~v2_group_1(X49)|~v3_group_1(X49)|~l3_algstr_0(X49)))&(k6_algstr_0(k1_group_24(X49,X50,X51),X53,X52)=X52|X53!=k5_group_7(X49,X50,k1_group_1(X49),k1_group_1(X50))|~m1_subset_1(X53,u1_struct_0(k1_group_24(X49,X50,X51)))|~m1_subset_1(X52,u1_struct_0(k1_group_24(X49,X50,X51)))|(~v1_funct_1(X51)|~v1_funct_2(X51,u1_struct_0(X50),u1_struct_0(k3_autgroup(X49)))|~v1_group_6(X51,X50,k3_autgroup(X49))|~m1_subset_1(X51,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X50),u1_struct_0(k3_autgroup(X49))))))|(v2_struct_0(X50)|~v2_group_1(X50)|~v3_group_1(X50)|~l3_algstr_0(X50))|(v2_struct_0(X49)|~v2_group_1(X49)|~v3_group_1(X49)|~l3_algstr_0(X49)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])).
fof(c_0_13, negated_conjecture, ((((~v2_struct_0(esk1_0)&v2_group_1(esk1_0))&v3_group_1(esk1_0))&l3_algstr_0(esk1_0))&((((~v2_struct_0(esk2_0)&v2_group_1(esk2_0))&v3_group_1(esk2_0))&l3_algstr_0(esk2_0))&((((v1_funct_1(esk3_0)&v1_funct_2(esk3_0,u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0))))&v1_group_6(esk3_0,esk2_0,k3_autgroup(esk1_0)))&m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0))))))&k1_group_1(k1_group_24(esk1_0,esk2_0,esk3_0))!=k5_group_7(esk1_0,esk2_0,k1_group_1(esk1_0),k1_group_1(esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
fof(c_0_14, plain, ![X46, X47, X48]:(((~v2_struct_0(k1_group_24(X46,X47,X48))|(v2_struct_0(X46)|~v2_group_1(X46)|~v3_group_1(X46)|~l3_algstr_0(X46)|v2_struct_0(X47)|~v2_group_1(X47)|~v3_group_1(X47)|~l3_algstr_0(X47)|~v1_funct_1(X48)|~v1_funct_2(X48,u1_struct_0(X47),u1_struct_0(k3_autgroup(X46)))|~v1_group_6(X48,X47,k3_autgroup(X46))|~m1_subset_1(X48,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X47),u1_struct_0(k3_autgroup(X46)))))))&(v15_algstr_0(k1_group_24(X46,X47,X48))|(v2_struct_0(X46)|~v2_group_1(X46)|~v3_group_1(X46)|~l3_algstr_0(X46)|v2_struct_0(X47)|~v2_group_1(X47)|~v3_group_1(X47)|~l3_algstr_0(X47)|~v1_funct_1(X48)|~v1_funct_2(X48,u1_struct_0(X47),u1_struct_0(k3_autgroup(X46)))|~v1_group_6(X48,X47,k3_autgroup(X46))|~m1_subset_1(X48,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X47),u1_struct_0(k3_autgroup(X46))))))))&(v1_group_1(k1_group_24(X46,X47,X48))|(v2_struct_0(X46)|~v2_group_1(X46)|~v3_group_1(X46)|~l3_algstr_0(X46)|v2_struct_0(X47)|~v2_group_1(X47)|~v3_group_1(X47)|~l3_algstr_0(X47)|~v1_funct_1(X48)|~v1_funct_2(X48,u1_struct_0(X47),u1_struct_0(k3_autgroup(X46)))|~v1_group_6(X48,X47,k3_autgroup(X46))|~m1_subset_1(X48,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X47),u1_struct_0(k3_autgroup(X46)))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])).
fof(c_0_15, plain, ![X39, X40, X41]:(((~v2_struct_0(k1_group_24(X39,X40,X41))|(v2_struct_0(X39)|~v2_group_1(X39)|~v3_group_1(X39)|~l3_algstr_0(X39)|v2_struct_0(X40)|~v2_group_1(X40)|~v3_group_1(X40)|~l3_algstr_0(X40)|~v1_funct_1(X41)|~v1_funct_2(X41,u1_struct_0(X40),u1_struct_0(k3_autgroup(X39)))|~v1_group_6(X41,X40,k3_autgroup(X39))|~m1_subset_1(X41,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X40),u1_struct_0(k3_autgroup(X39)))))))&(v15_algstr_0(k1_group_24(X39,X40,X41))|(v2_struct_0(X39)|~v2_group_1(X39)|~v3_group_1(X39)|~l3_algstr_0(X39)|v2_struct_0(X40)|~v2_group_1(X40)|~v3_group_1(X40)|~l3_algstr_0(X40)|~v1_funct_1(X41)|~v1_funct_2(X41,u1_struct_0(X40),u1_struct_0(k3_autgroup(X39)))|~v1_group_6(X41,X40,k3_autgroup(X39))|~m1_subset_1(X41,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X40),u1_struct_0(k3_autgroup(X39))))))))&(l3_algstr_0(k1_group_24(X39,X40,X41))|(v2_struct_0(X39)|~v2_group_1(X39)|~v3_group_1(X39)|~l3_algstr_0(X39)|v2_struct_0(X40)|~v2_group_1(X40)|~v3_group_1(X40)|~l3_algstr_0(X40)|~v1_funct_1(X41)|~v1_funct_2(X41,u1_struct_0(X40),u1_struct_0(k3_autgroup(X39)))|~v1_group_6(X41,X40,k3_autgroup(X39))|~m1_subset_1(X41,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X40),u1_struct_0(k3_autgroup(X39)))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])).
fof(c_0_16, plain, ![X1, X2, X3, X4]:((((((~v2_struct_0(X1)&l3_algstr_0(X1))&~v2_struct_0(X2))&l3_algstr_0(X2))&m1_subset_1(X3,u1_struct_0(X1)))&m1_subset_1(X4,u1_struct_0(X2)))=>m1_subset_1(k5_group_7(X1,X2,X3,X4),u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))), inference(fof_simplification,[status(thm)],[dt_k5_group_7])).
fof(c_0_17, 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))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>u1_struct_0(k1_group_24(X1,X2,X3))=u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2)))))), inference(fof_simplification,[status(thm)],[t23_group_24])).
fof(c_0_18, plain, ![X34, X35, X36]:(((k6_algstr_0(X34,X36,X35)=X36|~m1_subset_1(X36,u1_struct_0(X34))|X35!=k1_group_1(X34)|~m1_subset_1(X35,u1_struct_0(X34))|~v1_group_1(X34)|~l3_algstr_0(X34))&(k6_algstr_0(X34,X35,X36)=X36|~m1_subset_1(X36,u1_struct_0(X34))|X35!=k1_group_1(X34)|~m1_subset_1(X35,u1_struct_0(X34))|~v1_group_1(X34)|~l3_algstr_0(X34)))&((m1_subset_1(esk4_2(X34,X35),u1_struct_0(X34))|X35=k1_group_1(X34)|~m1_subset_1(X35,u1_struct_0(X34))|~v1_group_1(X34)|~l3_algstr_0(X34))&(k6_algstr_0(X34,esk4_2(X34,X35),X35)!=esk4_2(X34,X35)|k6_algstr_0(X34,X35,esk4_2(X34,X35))!=esk4_2(X34,X35)|X35=k1_group_1(X34)|~m1_subset_1(X35,u1_struct_0(X34))|~v1_group_1(X34)|~l3_algstr_0(X34)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_group_1])])])])])).
cnf(c_0_19, plain, (k6_algstr_0(k1_group_24(X1,X2,X3),X4,X5)=X5|v2_struct_0(X2)|v2_struct_0(X1)|X4!=k5_group_7(X1,X2,k1_group_1(X1),k1_group_1(X2))|~m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))|~m1_subset_1(X5,u1_struct_0(k1_group_24(X1,X2,X3)))|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))|~v1_group_6(X3,X2,k3_autgroup(X1))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))))|~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_12])).
cnf(c_0_20, negated_conjecture, (m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)))))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_21, negated_conjecture, (v1_group_6(esk3_0,esk2_0,k3_autgroup(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_22, negated_conjecture, (v1_funct_2(esk3_0,u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_23, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_24, negated_conjecture, (l3_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_25, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_26, negated_conjecture, (v3_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_27, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_28, negated_conjecture, (v2_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_29, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_30, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_31, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_32, plain, (v1_group_1(k1_group_24(X1,X2,X3))|v2_struct_0(X1)|v2_struct_0(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)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))|~v1_group_6(X3,X2,k3_autgroup(X1))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_33, plain, (l3_algstr_0(k1_group_24(X1,X2,X3))|v2_struct_0(X1)|v2_struct_0(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)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))|~v1_group_6(X3,X2,k3_autgroup(X1))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))))), inference(split_conjunct,[status(thm)],[c_0_15])).
fof(c_0_34, plain, ![X42, X43, X44, X45]:(v2_struct_0(X42)|~l3_algstr_0(X42)|v2_struct_0(X43)|~l3_algstr_0(X43)|~m1_subset_1(X44,u1_struct_0(X42))|~m1_subset_1(X45,u1_struct_0(X43))|m1_subset_1(k5_group_7(X42,X43,X44,X45),u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X42,X43))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])).
fof(c_0_35, plain, ![X38]:(~l3_algstr_0(X38)|m1_subset_1(k1_group_1(X38),u1_struct_0(X38))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_group_1])])).
fof(c_0_36, plain, ![X54, X55, X56]:(v2_struct_0(X54)|~v2_group_1(X54)|~v3_group_1(X54)|~l3_algstr_0(X54)|(v2_struct_0(X55)|~v2_group_1(X55)|~v3_group_1(X55)|~l3_algstr_0(X55)|(~v1_funct_1(X56)|~v1_funct_2(X56,u1_struct_0(X55),u1_struct_0(k3_autgroup(X54)))|~v1_group_6(X56,X55,k3_autgroup(X54))|~m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X55),u1_struct_0(k3_autgroup(X54)))))|u1_struct_0(k1_group_24(X54,X55,X56))=u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X54,X55)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
cnf(c_0_37, plain, (k6_algstr_0(X1,X2,X3)=X2|~m1_subset_1(X2,u1_struct_0(X1))|X3!=k1_group_1(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~v1_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_38, negated_conjecture, (k6_algstr_0(k1_group_24(esk1_0,esk2_0,esk3_0),X1,X2)=X2|X1!=k5_group_7(esk1_0,esk2_0,k1_group_1(esk1_0),k1_group_1(esk2_0))|~m1_subset_1(X2,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~m1_subset_1(X1,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_19, c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29])]), c_0_30]), c_0_31])).
cnf(c_0_39, negated_conjecture, (v1_group_1(k1_group_24(esk1_0,esk2_0,esk3_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_32, c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29])]), c_0_30]), c_0_31])).
cnf(c_0_40, negated_conjecture, (l3_algstr_0(k1_group_24(esk1_0,esk2_0,esk3_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_33, c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29])]), c_0_30]), c_0_31])).
cnf(c_0_41, plain, (v2_struct_0(X1)|v2_struct_0(X2)|m1_subset_1(k5_group_7(X1,X2,X3,X4),u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))|~l3_algstr_0(X1)|~l3_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X4,u1_struct_0(X2))), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_42, plain, (m1_subset_1(k1_group_1(X1),u1_struct_0(X1))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_43, plain, (v2_struct_0(X1)|v2_struct_0(X2)|u1_struct_0(k1_group_24(X1,X2,X3))=u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(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)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))|~v1_group_6(X3,X2,k3_autgroup(X1))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))))), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_44, negated_conjecture, (k1_group_1(k1_group_24(esk1_0,esk2_0,esk3_0))!=k5_group_7(esk1_0,esk2_0,k1_group_1(esk1_0),k1_group_1(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_45, negated_conjecture, (X1=X2|X2!=k5_group_7(esk1_0,esk2_0,k1_group_1(esk1_0),k1_group_1(esk2_0))|X1!=k1_group_1(k1_group_24(esk1_0,esk2_0,esk3_0))|~m1_subset_1(X1,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~m1_subset_1(X2,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39]), c_0_40])])).
cnf(c_0_46, plain, (m1_subset_1(k5_group_7(X1,X2,X3,k1_group_1(X2)),u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))|v2_struct_0(X1)|v2_struct_0(X2)|~m1_subset_1(X3,u1_struct_0(X1))|~l3_algstr_0(X2)|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_41, c_0_42])).
cnf(c_0_47, negated_conjecture, (u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))=u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_43, c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29])]), c_0_30]), c_0_31])).
cnf(c_0_48, negated_conjecture, (X1!=k1_group_1(k1_group_24(esk1_0,esk2_0,esk3_0))|~m1_subset_1(k5_group_7(esk1_0,esk2_0,k1_group_1(esk1_0),k1_group_1(esk2_0)),u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~m1_subset_1(X1,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))), inference(spm,[status(thm)],[c_0_44, c_0_45])).
cnf(c_0_49, negated_conjecture, (m1_subset_1(k5_group_7(esk1_0,esk2_0,X1,k1_group_1(esk2_0)),u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_24]), c_0_25])]), c_0_31]), c_0_30])).
cnf(c_0_50, negated_conjecture, (X1!=k1_group_1(k1_group_24(esk1_0,esk2_0,esk3_0))|~m1_subset_1(X1,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~m1_subset_1(k1_group_1(esk1_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_51, negated_conjecture, (X1!=k1_group_1(k1_group_24(esk1_0,esk2_0,esk3_0))|~m1_subset_1(X1,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_42]), c_0_25])])).
cnf(c_0_52, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_42]), c_0_40])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 53
# Proof object clause steps            : 31
# Proof object formula steps           : 22
# Proof object conjectures             : 26
# Proof object clause conjectures      : 23
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 20
# Proof object initial formulas used   : 8
# Proof object generating inferences   : 11
# Proof object simplifying inferences  : 60
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 8
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 28
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 28
# Processed clauses                    : 77
# ...of these trivial                  : 2
# ...subsumed                          : 4
# ...remaining for further processing  : 71
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 3
# Backward-rewritten                   : 0
# Generated clauses                    : 236
# ...of the previous two non-trivial   : 214
# Contextual simplify-reflections      : 0
# Paramodulations                      : 229
# Factorizations                       : 2
# NegExts                              : 0
# Equation resolutions                 : 5
# 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  : 42
#    Positive orientable unit clauses  : 15
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 23
# Current number of unprocessed clauses: 186
# ...number of literals in the above   : 2263
# Current number of archived formulas  : 0
# Current number of archived clauses   : 29
# Clause-clause subsumption calls (NU) : 363
# Rec. Clause-clause subsumption calls : 14
# Non-unit clause-clause subsumptions  : 7
# Unit Clause-clause subsumption calls : 3
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 13654

# -------------------------------------------------
# User time                : 0.028 s
# System time              : 0.004 s
# Total time               : 0.032 s
# Maximum resident set size: 3472 pages
