# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
# and selection function PSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.021 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(fc8_gr_cy_1, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>((~(v2_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&v1_gr_cy_1(k4_gr_cy_1(X1)))), file('group_24/group_24__t96_group_24', fc8_gr_cy_1)).
fof(t96_group_24, conjecture, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>![X2]:(m1_subset_1(X2,u1_struct_0(k4_gr_cy_1(X1)))=>![X3]:(m1_subset_1(X3,u1_struct_0(k6_group_24(X1)))=>(X3=k5_group_7(k4_gr_cy_1(X1),k4_gr_cy_1(np__2),X2,k1_group_1(k4_gr_cy_1(np__2)))=>k5_group_1(k6_group_24(X1),X3,X1)=k1_group_1(k6_group_24(X1)))))), file('group_24/group_24__t96_group_24', t96_group_24)).
fof(fc5_gr_cy_1, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>((((~(v2_struct_0(k4_gr_cy_1(X1)))&v8_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&v2_group_1(k4_gr_cy_1(X1)))&v3_group_1(k4_gr_cy_1(X1)))), file('group_24/group_24__t96_group_24', fc5_gr_cy_1)).
fof(dt_k4_gr_cy_1, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>((~(v2_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&l3_algstr_0(k4_gr_cy_1(X1)))), file('group_24/group_24__t96_group_24', dt_k4_gr_cy_1)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('group_24/group_24__t96_group_24', cc4_nat_1)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('group_24/group_24__t96_group_24', cc8_ordinal1)).
fof(cc1_gr_cy_1, axiom, ![X1]:(l3_algstr_0(X1)=>((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&v1_gr_cy_1(X1))=>(((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&v5_group_1(X1)))), file('group_24/group_24__t96_group_24', cc1_gr_cy_1)).
fof(d8_group_24, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k6_group_24(X1)=k1_group_24(k4_gr_cy_1(X1),k4_gr_cy_1(np__2),k5_group_24(k4_gr_cy_1(X1)))), file('group_24/group_24__t96_group_24', d8_group_24)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('group_24/group_24__t96_group_24', spc2_numerals)).
fof(dt_k5_group_24, axiom, ![X1]:((((((~(v2_struct_0(X1))&v15_algstr_0(X1))&v2_group_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l3_algstr_0(X1))=>(((v1_funct_1(k5_group_24(X1))&v1_funct_2(k5_group_24(X1),u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X1))))&v1_group_6(k5_group_24(X1),k4_gr_cy_1(np__2),k3_autgroup(X1)))&m1_subset_1(k5_group_24(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X1))))))), file('group_24/group_24__t96_group_24', dt_k5_group_24)).
fof(t9_gr_cy_1, axiom, ![X1]:(((((~(v2_struct_0(X1))&v8_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k5_group_1(X1,X2,k7_group_1(X1))=k1_group_1(X1))), file('group_24/group_24__t96_group_24', t9_gr_cy_1)).
fof(rd1_group_24, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k7_group_1(k4_gr_cy_1(X1))=X1), file('group_24/group_24__t96_group_24', rd1_group_24)).
fof(t34_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(X1))=>(X4=k5_group_7(X1,X2,X5,k1_group_1(X2))=>![X6]:(v1_int_1(X6)=>k5_group_1(k1_group_24(X1,X2,X3),X4,X6)=k5_group_7(X1,X2,k5_group_1(X1,X5,X6),k1_group_1(X2))))))))), file('group_24/group_24__t96_group_24', t34_group_24)).
fof(t29_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))))))=>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__t96_group_24', t29_group_24)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('group_24/group_24__t96_group_24', cc2_int_1)).
fof(c_0_15, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>((~v2_struct_0(k4_gr_cy_1(X1))&v15_algstr_0(k4_gr_cy_1(X1)))&v1_gr_cy_1(k4_gr_cy_1(X1)))), inference(fof_simplification,[status(thm)],[fc8_gr_cy_1])).
fof(c_0_16, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k4_gr_cy_1(X1)))=>![X3]:(m1_subset_1(X3,u1_struct_0(k6_group_24(X1)))=>(X3=k5_group_7(k4_gr_cy_1(X1),k4_gr_cy_1(np__2),X2,k1_group_1(k4_gr_cy_1(np__2)))=>k5_group_1(k6_group_24(X1),X3,X1)=k1_group_1(k6_group_24(X1))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t96_group_24])])).
fof(c_0_17, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>((((~v2_struct_0(k4_gr_cy_1(X1))&v8_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&v2_group_1(k4_gr_cy_1(X1)))&v3_group_1(k4_gr_cy_1(X1)))), inference(fof_simplification,[status(thm)],[fc5_gr_cy_1])).
fof(c_0_18, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>((~v2_struct_0(k4_gr_cy_1(X1))&v15_algstr_0(k4_gr_cy_1(X1)))&l3_algstr_0(k4_gr_cy_1(X1)))), inference(fof_simplification,[status(thm)],[dt_k4_gr_cy_1])).
fof(c_0_19, plain, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_nat_1])).
fof(c_0_20, plain, ![X37]:(~m1_subset_1(X37,k4_ordinal1)|v7_ordinal1(X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_21, plain, ![X1]:(l3_algstr_0(X1)=>((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&v1_gr_cy_1(X1))=>(((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&v5_group_1(X1)))), inference(fof_simplification,[status(thm)],[cc1_gr_cy_1])).
fof(c_0_22, plain, ![X42]:(((~v2_struct_0(k4_gr_cy_1(X42))|(~v7_ordinal1(X42)|v8_ordinal1(X42)))&(v15_algstr_0(k4_gr_cy_1(X42))|(~v7_ordinal1(X42)|v8_ordinal1(X42))))&(v1_gr_cy_1(k4_gr_cy_1(X42))|(~v7_ordinal1(X42)|v8_ordinal1(X42)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
fof(c_0_23, negated_conjecture, ((v7_ordinal1(esk1_0)&~v8_ordinal1(esk1_0))&(m1_subset_1(esk2_0,u1_struct_0(k4_gr_cy_1(esk1_0)))&(m1_subset_1(esk3_0,u1_struct_0(k6_group_24(esk1_0)))&(esk3_0=k5_group_7(k4_gr_cy_1(esk1_0),k4_gr_cy_1(np__2),esk2_0,k1_group_1(k4_gr_cy_1(np__2)))&k5_group_1(k6_group_24(esk1_0),esk3_0,esk1_0)!=k1_group_1(k6_group_24(esk1_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
fof(c_0_24, plain, ![X41]:(((((~v2_struct_0(k4_gr_cy_1(X41))|(~v7_ordinal1(X41)|v8_ordinal1(X41)))&(v8_struct_0(k4_gr_cy_1(X41))|(~v7_ordinal1(X41)|v8_ordinal1(X41))))&(v15_algstr_0(k4_gr_cy_1(X41))|(~v7_ordinal1(X41)|v8_ordinal1(X41))))&(v2_group_1(k4_gr_cy_1(X41))|(~v7_ordinal1(X41)|v8_ordinal1(X41))))&(v3_group_1(k4_gr_cy_1(X41))|(~v7_ordinal1(X41)|v8_ordinal1(X41)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
fof(c_0_25, plain, ![X39]:(((~v2_struct_0(k4_gr_cy_1(X39))|(~v7_ordinal1(X39)|v8_ordinal1(X39)))&(v15_algstr_0(k4_gr_cy_1(X39))|(~v7_ordinal1(X39)|v8_ordinal1(X39))))&(l3_algstr_0(k4_gr_cy_1(X39))|(~v7_ordinal1(X39)|v8_ordinal1(X39)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
fof(c_0_26, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k6_group_24(X1)=k1_group_24(k4_gr_cy_1(X1),k4_gr_cy_1(np__2),k5_group_24(k4_gr_cy_1(X1)))), inference(fof_simplification,[status(thm)],[d8_group_24])).
fof(c_0_27, plain, ![X36]:((v7_ordinal1(X36)|(~v7_ordinal1(X36)|~v8_ordinal1(X36)))&(~v2_xxreal_0(X36)|(~v7_ordinal1(X36)|~v8_ordinal1(X36)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
cnf(c_0_28, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_29, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
fof(c_0_30, plain, ![X1]:((((((~v2_struct_0(X1)&v15_algstr_0(X1))&v2_group_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l3_algstr_0(X1))=>(((v1_funct_1(k5_group_24(X1))&v1_funct_2(k5_group_24(X1),u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X1))))&v1_group_6(k5_group_24(X1),k4_gr_cy_1(np__2),k3_autgroup(X1)))&m1_subset_1(k5_group_24(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X1))))))), inference(fof_simplification,[status(thm)],[dt_k5_group_24])).
fof(c_0_31, plain, ![X34]:((((~v2_struct_0(X34)|(v2_struct_0(X34)|~v2_group_1(X34)|~v3_group_1(X34)|~v1_gr_cy_1(X34))|~l3_algstr_0(X34))&(v2_group_1(X34)|(v2_struct_0(X34)|~v2_group_1(X34)|~v3_group_1(X34)|~v1_gr_cy_1(X34))|~l3_algstr_0(X34)))&(v3_group_1(X34)|(v2_struct_0(X34)|~v2_group_1(X34)|~v3_group_1(X34)|~v1_gr_cy_1(X34))|~l3_algstr_0(X34)))&(v5_group_1(X34)|(v2_struct_0(X34)|~v2_group_1(X34)|~v3_group_1(X34)|~v1_gr_cy_1(X34))|~l3_algstr_0(X34))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])).
cnf(c_0_32, plain, (v1_gr_cy_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_33, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_34, negated_conjecture, (~v8_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_35, plain, (v3_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_36, plain, (v2_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_37, plain, (l3_algstr_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_38, plain, ![X1]:(((((~v2_struct_0(X1)&v8_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k5_group_1(X1,X2,k7_group_1(X1))=k1_group_1(X1))), inference(fof_simplification,[status(thm)],[t9_gr_cy_1])).
fof(c_0_39, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k7_group_1(k4_gr_cy_1(X1))=X1), inference(fof_simplification,[status(thm)],[rd1_group_24])).
fof(c_0_40, 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(X1))=>(X4=k5_group_7(X1,X2,X5,k1_group_1(X2))=>![X6]:(v1_int_1(X6)=>k5_group_1(k1_group_24(X1,X2,X3),X4,X6)=k5_group_7(X1,X2,k5_group_1(X1,X5,X6),k1_group_1(X2))))))))), inference(fof_simplification,[status(thm)],[t34_group_24])).
fof(c_0_41, plain, ![X38]:(~v7_ordinal1(X38)|v8_ordinal1(X38)|k6_group_24(X38)=k1_group_24(k4_gr_cy_1(X38),k4_gr_cy_1(np__2),k5_group_24(k4_gr_cy_1(X38)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])).
cnf(c_0_42, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_43, plain, (v2_xxreal_0(np__2)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_44, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
fof(c_0_45, plain, ![X40]:((((v1_funct_1(k5_group_24(X40))|(v2_struct_0(X40)|~v15_algstr_0(X40)|~v2_group_1(X40)|~v3_group_1(X40)|~v5_group_1(X40)|~l3_algstr_0(X40)))&(v1_funct_2(k5_group_24(X40),u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X40)))|(v2_struct_0(X40)|~v15_algstr_0(X40)|~v2_group_1(X40)|~v3_group_1(X40)|~v5_group_1(X40)|~l3_algstr_0(X40))))&(v1_group_6(k5_group_24(X40),k4_gr_cy_1(np__2),k3_autgroup(X40))|(v2_struct_0(X40)|~v15_algstr_0(X40)|~v2_group_1(X40)|~v3_group_1(X40)|~v5_group_1(X40)|~l3_algstr_0(X40))))&(m1_subset_1(k5_group_24(X40),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X40)))))|(v2_struct_0(X40)|~v15_algstr_0(X40)|~v2_group_1(X40)|~v3_group_1(X40)|~v5_group_1(X40)|~l3_algstr_0(X40)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])).
cnf(c_0_46, plain, (v15_algstr_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_47, plain, (v5_group_1(X1)|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~v1_gr_cy_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_48, negated_conjecture, (v1_gr_cy_1(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])).
cnf(c_0_49, negated_conjecture, (v3_group_1(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_33]), c_0_34])).
cnf(c_0_50, negated_conjecture, (v2_group_1(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_33]), c_0_34])).
cnf(c_0_51, negated_conjecture, (l3_algstr_0(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_33]), c_0_34])).
fof(c_0_52, plain, ![X53, X54]:(v2_struct_0(X53)|~v8_struct_0(X53)|~v2_group_1(X53)|~v3_group_1(X53)|~l3_algstr_0(X53)|(~m1_subset_1(X54,u1_struct_0(X53))|k5_group_1(X53,X54,k7_group_1(X53))=k1_group_1(X53))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])).
fof(c_0_53, plain, ![X43]:(~v7_ordinal1(X43)|v8_ordinal1(X43)|k7_group_1(k4_gr_cy_1(X43))=X43), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])).
fof(c_0_54, plain, ![X47, X48, X49, X50, X51, X52]:(v2_struct_0(X47)|~v2_group_1(X47)|~v3_group_1(X47)|~l3_algstr_0(X47)|(v2_struct_0(X48)|~v2_group_1(X48)|~v3_group_1(X48)|~l3_algstr_0(X48)|(~v1_funct_1(X49)|~v1_funct_2(X49,u1_struct_0(X48),u1_struct_0(k3_autgroup(X47)))|~v1_group_6(X49,X48,k3_autgroup(X47))|~m1_subset_1(X49,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X48),u1_struct_0(k3_autgroup(X47)))))|(~m1_subset_1(X50,u1_struct_0(k1_group_24(X47,X48,X49)))|(~m1_subset_1(X51,u1_struct_0(X47))|(X50!=k5_group_7(X47,X48,X51,k1_group_1(X48))|(~v1_int_1(X52)|k5_group_1(k1_group_24(X47,X48,X49),X50,X52)=k5_group_7(X47,X48,k5_group_1(X47,X51,X52),k1_group_1(X48))))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])).
cnf(c_0_55, plain, (v8_ordinal1(X1)|k6_group_24(X1)=k1_group_24(k4_gr_cy_1(X1),k4_gr_cy_1(np__2),k5_group_24(k4_gr_cy_1(X1)))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_56, plain, (~v8_ordinal1(np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])])).
cnf(c_0_57, plain, (m1_subset_1(k5_group_24(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X1)))))|v2_struct_0(X1)|~v15_algstr_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_58, negated_conjecture, (v15_algstr_0(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_33]), c_0_34])).
cnf(c_0_59, negated_conjecture, (v5_group_1(k4_gr_cy_1(esk1_0))|v2_struct_0(k4_gr_cy_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49]), c_0_50]), c_0_51])])).
cnf(c_0_60, plain, (v1_funct_1(k5_group_24(X1))|v2_struct_0(X1)|~v15_algstr_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_61, plain, (v1_funct_2(k5_group_24(X1),u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X1)))|v2_struct_0(X1)|~v15_algstr_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_62, plain, (v1_group_6(k5_group_24(X1),k4_gr_cy_1(np__2),k3_autgroup(X1))|v2_struct_0(X1)|~v15_algstr_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_63, plain, (v2_struct_0(X1)|k5_group_1(X1,X2,k7_group_1(X1))=k1_group_1(X1)|~v8_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_64, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k4_gr_cy_1(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_65, plain, (v8_struct_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_66, plain, (v8_ordinal1(X1)|k7_group_1(k4_gr_cy_1(X1))=X1|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_67, plain, (v2_struct_0(X1)|v2_struct_0(X2)|k5_group_1(k1_group_24(X1,X2,X3),X4,X6)=k5_group_7(X1,X2,k5_group_1(X1,X5,X6),k1_group_1(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)))))|~m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))|~m1_subset_1(X5,u1_struct_0(X1))|X4!=k5_group_7(X1,X2,X5,k1_group_1(X2))|~v1_int_1(X6)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_68, negated_conjecture, (k1_group_24(k4_gr_cy_1(esk1_0),k4_gr_cy_1(np__2),k5_group_24(k4_gr_cy_1(esk1_0)))=k6_group_24(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_33]), c_0_34])).
cnf(c_0_69, plain, (v3_group_1(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_44]), c_0_56])).
cnf(c_0_70, plain, (v2_group_1(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_44]), c_0_56])).
cnf(c_0_71, plain, (l3_algstr_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_44]), c_0_56])).
cnf(c_0_72, negated_conjecture, (v2_struct_0(k4_gr_cy_1(esk1_0))|m1_subset_1(k5_group_24(k4_gr_cy_1(esk1_0)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(k4_gr_cy_1(esk1_0))))))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_49]), c_0_50]), c_0_51])]), c_0_59])).
cnf(c_0_73, negated_conjecture, (v1_funct_1(k5_group_24(k4_gr_cy_1(esk1_0)))|v2_struct_0(k4_gr_cy_1(esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_58]), c_0_49]), c_0_50]), c_0_51])]), c_0_59])).
cnf(c_0_74, negated_conjecture, (v1_funct_2(k5_group_24(k4_gr_cy_1(esk1_0)),u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(k4_gr_cy_1(esk1_0))))|v2_struct_0(k4_gr_cy_1(esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_58]), c_0_49]), c_0_50]), c_0_51])]), c_0_59])).
cnf(c_0_75, negated_conjecture, (v1_group_6(k5_group_24(k4_gr_cy_1(esk1_0)),k4_gr_cy_1(np__2),k3_autgroup(k4_gr_cy_1(esk1_0)))|v2_struct_0(k4_gr_cy_1(esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_58]), c_0_49]), c_0_50]), c_0_51])]), c_0_59])).
cnf(c_0_76, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,k7_group_1(k4_gr_cy_1(esk1_0)))=k1_group_1(k4_gr_cy_1(esk1_0))|v2_struct_0(k4_gr_cy_1(esk1_0))|~v8_struct_0(k4_gr_cy_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_49]), c_0_50]), c_0_51])])).
cnf(c_0_77, negated_conjecture, (v8_struct_0(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_33]), c_0_34])).
cnf(c_0_78, negated_conjecture, (k7_group_1(k4_gr_cy_1(esk1_0))=esk1_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_33]), c_0_34])).
fof(c_0_79, 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))))))=>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)],[t29_group_24])).
cnf(c_0_80, negated_conjecture, (k5_group_1(k6_group_24(esk1_0),X1,X2)=k5_group_7(k4_gr_cy_1(esk1_0),k4_gr_cy_1(np__2),k5_group_1(k4_gr_cy_1(esk1_0),X3,X2),k1_group_1(k4_gr_cy_1(np__2)))|v2_struct_0(k4_gr_cy_1(np__2))|v2_struct_0(k4_gr_cy_1(esk1_0))|X1!=k5_group_7(k4_gr_cy_1(esk1_0),k4_gr_cy_1(np__2),X3,k1_group_1(k4_gr_cy_1(np__2)))|~v1_int_1(X2)|~m1_subset_1(X1,u1_struct_0(k6_group_24(esk1_0)))|~m1_subset_1(X3,u1_struct_0(k4_gr_cy_1(esk1_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[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(spm,[status(thm)],[c_0_67, c_0_68]), c_0_69]), c_0_49]), c_0_70]), c_0_50]), c_0_71]), c_0_51])]), c_0_72]), c_0_73]), c_0_74]), c_0_75])).
cnf(c_0_81, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,esk1_0)=k1_group_1(k4_gr_cy_1(esk1_0))|v2_struct_0(k4_gr_cy_1(esk1_0))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76, c_0_77])]), c_0_78])).
cnf(c_0_82, negated_conjecture, (esk3_0=k5_group_7(k4_gr_cy_1(esk1_0),k4_gr_cy_1(np__2),esk2_0,k1_group_1(k4_gr_cy_1(np__2)))), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_83, plain, ![X35]:(~v7_ordinal1(X35)|v1_int_1(X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
fof(c_0_84, plain, ![X44, X45, X46]:(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44)|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45)|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))|~v1_group_6(X46,X45,k3_autgroup(X44))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))))|k1_group_1(k1_group_24(X44,X45,X46))=k5_group_7(X44,X45,k1_group_1(X44),k1_group_1(X45))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])).
cnf(c_0_85, negated_conjecture, (k5_group_1(k6_group_24(esk1_0),X1,esk1_0)=k5_group_7(k4_gr_cy_1(esk1_0),k4_gr_cy_1(np__2),k1_group_1(k4_gr_cy_1(esk1_0)),k1_group_1(k4_gr_cy_1(np__2)))|v2_struct_0(k4_gr_cy_1(esk1_0))|v2_struct_0(k4_gr_cy_1(np__2))|X1!=esk3_0|~v1_int_1(esk1_0)|~m1_subset_1(X1,u1_struct_0(k6_group_24(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_82]), c_0_64])])).
cnf(c_0_86, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_87, plain, (v2_struct_0(X1)|v2_struct_0(X2)|k1_group_1(k1_group_24(X1,X2,X3))=k5_group_7(X1,X2,k1_group_1(X1),k1_group_1(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_84])).
cnf(c_0_88, negated_conjecture, (k5_group_1(k6_group_24(esk1_0),X1,esk1_0)=k5_group_7(k4_gr_cy_1(esk1_0),k4_gr_cy_1(np__2),k1_group_1(k4_gr_cy_1(esk1_0)),k1_group_1(k4_gr_cy_1(np__2)))|v2_struct_0(k4_gr_cy_1(np__2))|v2_struct_0(k4_gr_cy_1(esk1_0))|X1!=esk3_0|~m1_subset_1(X1,u1_struct_0(k6_group_24(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_33])])).
cnf(c_0_89, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k6_group_24(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_90, negated_conjecture, (k5_group_7(k4_gr_cy_1(esk1_0),k4_gr_cy_1(np__2),k1_group_1(k4_gr_cy_1(esk1_0)),k1_group_1(k4_gr_cy_1(np__2)))=k1_group_1(k6_group_24(esk1_0))|v2_struct_0(k4_gr_cy_1(np__2))|v2_struct_0(k4_gr_cy_1(esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[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_87, c_0_72]), c_0_68]), c_0_69]), c_0_49]), c_0_70]), c_0_50]), c_0_71]), c_0_51])]), c_0_73]), c_0_74]), c_0_75])).
cnf(c_0_91, negated_conjecture, (k5_group_7(k4_gr_cy_1(esk1_0),k4_gr_cy_1(np__2),k1_group_1(k4_gr_cy_1(esk1_0)),k1_group_1(k4_gr_cy_1(np__2)))=k5_group_1(k6_group_24(esk1_0),esk3_0,esk1_0)|v2_struct_0(k4_gr_cy_1(esk1_0))|v2_struct_0(k4_gr_cy_1(np__2))), inference(spm,[status(thm)],[c_0_88, c_0_89])).
cnf(c_0_92, negated_conjecture, (k5_group_1(k6_group_24(esk1_0),esk3_0,esk1_0)!=k1_group_1(k6_group_24(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_93, plain, (v8_ordinal1(X1)|~v2_struct_0(k4_gr_cy_1(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_94, negated_conjecture, (v2_struct_0(k4_gr_cy_1(esk1_0))|v2_struct_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_92])).
cnf(c_0_95, negated_conjecture, (v2_struct_0(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_44])]), c_0_56])).
cnf(c_0_96, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_95]), c_0_33])]), c_0_34]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 97
# Proof object clause steps            : 56
# Proof object formula steps           : 41
# Proof object conjectures             : 32
# Proof object clause conjectures      : 29
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 28
# Proof object initial formulas used   : 15
# Proof object generating inferences   : 27
# Proof object simplifying inferences  : 78
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 15
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 36
# Removed in clause preprocessing      : 4
# Initial clauses in saturation        : 32
# Processed clauses                    : 79
# ...of these trivial                  : 0
# ...subsumed                          : 6
# ...remaining for further processing  : 73
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 6
# Backward-rewritten                   : 10
# Generated clauses                    : 59
# ...of the previous two non-trivial   : 58
# Contextual simplify-reflections      : 21
# Paramodulations                      : 57
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 57
#    Positive orientable unit clauses  : 24
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 30
# Current number of unprocessed clauses: 11
# ...number of literals in the above   : 77
# Current number of archived formulas  : 0
# Current number of archived clauses   : 16
# Clause-clause subsumption calls (NU) : 685
# Rec. Clause-clause subsumption calls : 161
# Non-unit clause-clause subsumptions  : 33
# Unit Clause-clause subsumption calls : 100
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 6614

# -------------------------------------------------
# User time                : 0.029 s
# System time              : 0.000 s
# Total time               : 0.029 s
# Maximum resident set size: 3396 pages
