# 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       : 0.023 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__t105_group_24', fc8_gr_cy_1)).
fof(t105_group_24, conjecture, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>![X2]:(m1_subset_1(X2,u1_struct_0(k4_gr_cy_1(np__2)))=>![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),k1_group_1(k4_gr_cy_1(X1)),X2)=>k6_algstr_0(k6_group_24(X1),X3,X3)=k1_group_1(k6_group_24(X1)))))), file('group_24/group_24__t105_group_24', t105_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__t105_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__t105_group_24', dt_k4_gr_cy_1)).
fof(dt_k6_group_24, axiom, ![X1]:(((~(v8_ordinal1(X1))&v1_xxreal_0(X1))&v1_counters(X1))=>((((~(v2_struct_0(k6_group_24(X1)))&v15_algstr_0(k6_group_24(X1)))&v2_group_1(k6_group_24(X1)))&v3_group_1(k6_group_24(X1)))&l3_algstr_0(k6_group_24(X1)))), file('group_24/group_24__t105_group_24', dt_k6_group_24)).
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__t105_group_24', cc1_gr_cy_1)).
fof(cc1_counters, axiom, ![X1]:(v1_counters(X1)=>v1_xxreal_0(X1)), file('group_24/group_24__t105_group_24', cc1_counters)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('group_24/group_24__t105_group_24', cc4_nat_1)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('group_24/group_24__t105_group_24', cc8_ordinal1)).
fof(redefinition_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))=>k5_group_24(X1)=k4_group_24(X1)), file('group_24/group_24__t105_group_24', redefinition_k5_group_24)).
fof(cc2_counters, axiom, ![X1]:(v7_ordinal1(X1)=>v1_counters(X1)), file('group_24/group_24__t105_group_24', cc2_counters)).
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__t105_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__t105_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__t105_group_24', dt_k5_group_24)).
fof(fc10_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(k4_group_24(X1))&v1_funct_2(k4_group_24(X1),u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X1))))&v1_group_6(k4_group_24(X1),k4_gr_cy_1(np__2),k3_autgroup(X1)))), file('group_24/group_24__t105_group_24', fc10_group_24)).
fof(t27_group_1, axiom, ![X1]:((((~(v2_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,np__2)=k6_algstr_0(X1,X2,X2))), file('group_24/group_24__t105_group_24', t27_group_1)).
fof(t37_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]:(v1_int_1(X4)=>![X5]:(m1_subset_1(X5,u1_struct_0(k1_group_24(X1,X2,X3)))=>![X6]:(m1_subset_1(X6,u1_struct_0(X2))=>(X5=k5_group_7(X1,X2,k1_group_1(X1),X6)=>k5_group_1(k1_group_24(X1,X2,X3),X5,X4)=k5_group_7(X1,X2,k1_group_1(X1),k5_group_1(X2,X6,X4))))))))), file('group_24/group_24__t105_group_24', t37_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__t105_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__t105_group_24', rd1_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__t105_group_24', t29_group_24)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('group_24/group_24__t105_group_24', cc2_int_1)).
fof(c_0_21, 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_22, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k4_gr_cy_1(np__2)))=>![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),k1_group_1(k4_gr_cy_1(X1)),X2)=>k6_algstr_0(k6_group_24(X1),X3,X3)=k1_group_1(k6_group_24(X1))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t105_group_24])])).
fof(c_0_23, 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_24, 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_25, plain, ![X1]:(((~v8_ordinal1(X1)&v1_xxreal_0(X1))&v1_counters(X1))=>((((~v2_struct_0(k6_group_24(X1))&v15_algstr_0(k6_group_24(X1)))&v2_group_1(k6_group_24(X1)))&v3_group_1(k6_group_24(X1)))&l3_algstr_0(k6_group_24(X1)))), inference(fof_simplification,[status(thm)],[dt_k6_group_24])).
fof(c_0_26, 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_27, plain, ![X53]:(((~v2_struct_0(k4_gr_cy_1(X53))|(~v7_ordinal1(X53)|v8_ordinal1(X53)))&(v15_algstr_0(k4_gr_cy_1(X53))|(~v7_ordinal1(X53)|v8_ordinal1(X53))))&(v1_gr_cy_1(k4_gr_cy_1(X53))|(~v7_ordinal1(X53)|v8_ordinal1(X53)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])).
fof(c_0_28, negated_conjecture, ((v7_ordinal1(esk1_0)&~v8_ordinal1(esk1_0))&(m1_subset_1(esk2_0,u1_struct_0(k4_gr_cy_1(np__2)))&(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),k1_group_1(k4_gr_cy_1(esk1_0)),esk2_0)&k6_algstr_0(k6_group_24(esk1_0),esk3_0,esk3_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_22])])])).
fof(c_0_29, plain, ![X52]:(((((~v2_struct_0(k4_gr_cy_1(X52))|(~v7_ordinal1(X52)|v8_ordinal1(X52)))&(v8_struct_0(k4_gr_cy_1(X52))|(~v7_ordinal1(X52)|v8_ordinal1(X52))))&(v15_algstr_0(k4_gr_cy_1(X52))|(~v7_ordinal1(X52)|v8_ordinal1(X52))))&(v2_group_1(k4_gr_cy_1(X52))|(~v7_ordinal1(X52)|v8_ordinal1(X52))))&(v3_group_1(k4_gr_cy_1(X52))|(~v7_ordinal1(X52)|v8_ordinal1(X52)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
fof(c_0_30, plain, ![X48]:(((~v2_struct_0(k4_gr_cy_1(X48))|(~v7_ordinal1(X48)|v8_ordinal1(X48)))&(v15_algstr_0(k4_gr_cy_1(X48))|(~v7_ordinal1(X48)|v8_ordinal1(X48))))&(l3_algstr_0(k4_gr_cy_1(X48))|(~v7_ordinal1(X48)|v8_ordinal1(X48)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])).
fof(c_0_31, plain, ![X50]:(((((~v2_struct_0(k6_group_24(X50))|(v8_ordinal1(X50)|~v1_xxreal_0(X50)|~v1_counters(X50)))&(v15_algstr_0(k6_group_24(X50))|(v8_ordinal1(X50)|~v1_xxreal_0(X50)|~v1_counters(X50))))&(v2_group_1(k6_group_24(X50))|(v8_ordinal1(X50)|~v1_xxreal_0(X50)|~v1_counters(X50))))&(v3_group_1(k6_group_24(X50))|(v8_ordinal1(X50)|~v1_xxreal_0(X50)|~v1_counters(X50))))&(l3_algstr_0(k6_group_24(X50))|(v8_ordinal1(X50)|~v1_xxreal_0(X50)|~v1_counters(X50)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])).
fof(c_0_32, plain, ![X41]:(~v1_counters(X41)|v1_xxreal_0(X41)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_counters])])).
fof(c_0_33, 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_34, plain, ![X46]:(~m1_subset_1(X46,k4_ordinal1)|v7_ordinal1(X46)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_35, 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))=>k5_group_24(X1)=k4_group_24(X1)), inference(fof_simplification,[status(thm)],[redefinition_k5_group_24])).
fof(c_0_36, plain, ![X42]:((((~v2_struct_0(X42)|(v2_struct_0(X42)|~v2_group_1(X42)|~v3_group_1(X42)|~v1_gr_cy_1(X42))|~l3_algstr_0(X42))&(v2_group_1(X42)|(v2_struct_0(X42)|~v2_group_1(X42)|~v3_group_1(X42)|~v1_gr_cy_1(X42))|~l3_algstr_0(X42)))&(v3_group_1(X42)|(v2_struct_0(X42)|~v2_group_1(X42)|~v3_group_1(X42)|~v1_gr_cy_1(X42))|~l3_algstr_0(X42)))&(v5_group_1(X42)|(v2_struct_0(X42)|~v2_group_1(X42)|~v3_group_1(X42)|~v1_gr_cy_1(X42))|~l3_algstr_0(X42))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])).
cnf(c_0_37, plain, (v1_gr_cy_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_38, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_39, negated_conjecture, (~v8_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_40, plain, (v3_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_41, plain, (v2_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_42, plain, (l3_algstr_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_43, plain, (v8_ordinal1(X1)|~v2_struct_0(k4_gr_cy_1(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_44, plain, (v2_group_1(k6_group_24(X1))|v8_ordinal1(X1)|~v1_xxreal_0(X1)|~v1_counters(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_45, plain, (v1_xxreal_0(X1)|~v1_counters(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
fof(c_0_46, plain, ![X43]:(~v7_ordinal1(X43)|v1_counters(X43)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_counters])])).
cnf(c_0_47, plain, (l3_algstr_0(k6_group_24(X1))|v8_ordinal1(X1)|~v1_xxreal_0(X1)|~v1_counters(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
fof(c_0_48, 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_49, plain, ![X45]:((v7_ordinal1(X45)|(~v7_ordinal1(X45)|~v8_ordinal1(X45)))&(~v2_xxreal_0(X45)|(~v7_ordinal1(X45)|~v8_ordinal1(X45)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])).
cnf(c_0_50, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_51, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
fof(c_0_52, 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_53, 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(k4_group_24(X1))&v1_funct_2(k4_group_24(X1),u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X1))))&v1_group_6(k4_group_24(X1),k4_gr_cy_1(np__2),k3_autgroup(X1)))), inference(fof_simplification,[status(thm)],[fc10_group_24])).
fof(c_0_54, plain, ![X55]:(v2_struct_0(X55)|~v15_algstr_0(X55)|~v2_group_1(X55)|~v3_group_1(X55)|~v5_group_1(X55)|~l3_algstr_0(X55)|k5_group_24(X55)=k4_group_24(X55)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])).
cnf(c_0_55, plain, (v15_algstr_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_56, 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_36])).
cnf(c_0_57, negated_conjecture, (v1_gr_cy_1(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])).
cnf(c_0_58, negated_conjecture, (v3_group_1(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_38]), c_0_39])).
cnf(c_0_59, negated_conjecture, (v2_group_1(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_38]), c_0_39])).
cnf(c_0_60, negated_conjecture, (l3_algstr_0(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_38]), c_0_39])).
cnf(c_0_61, negated_conjecture, (~v2_struct_0(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_38]), c_0_39])).
fof(c_0_62, plain, ![X1]:((((~v2_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,np__2)=k6_algstr_0(X1,X2,X2))), inference(fof_simplification,[status(thm)],[t27_group_1])).
cnf(c_0_63, plain, (v2_group_1(k6_group_24(X1))|v8_ordinal1(X1)|~v1_counters(X1)), inference(csr,[status(thm)],[c_0_44, c_0_45])).
cnf(c_0_64, plain, (v1_counters(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_65, plain, (l3_algstr_0(k6_group_24(X1))|v8_ordinal1(X1)|~v1_counters(X1)), inference(csr,[status(thm)],[c_0_47, c_0_45])).
cnf(c_0_66, plain, (v3_group_1(k6_group_24(X1))|v8_ordinal1(X1)|~v1_xxreal_0(X1)|~v1_counters(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
fof(c_0_67, 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]:(v1_int_1(X4)=>![X5]:(m1_subset_1(X5,u1_struct_0(k1_group_24(X1,X2,X3)))=>![X6]:(m1_subset_1(X6,u1_struct_0(X2))=>(X5=k5_group_7(X1,X2,k1_group_1(X1),X6)=>k5_group_1(k1_group_24(X1,X2,X3),X5,X4)=k5_group_7(X1,X2,k1_group_1(X1),k5_group_1(X2,X6,X4))))))))), inference(fof_simplification,[status(thm)],[t37_group_24])).
fof(c_0_68, plain, ![X47]:(~v7_ordinal1(X47)|v8_ordinal1(X47)|k6_group_24(X47)=k1_group_24(k4_gr_cy_1(X47),k4_gr_cy_1(np__2),k5_group_24(k4_gr_cy_1(X47)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])).
cnf(c_0_69, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_70, plain, (v2_xxreal_0(np__2)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_71, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_50, c_0_51])).
fof(c_0_72, plain, ![X49]:((((v1_funct_1(k5_group_24(X49))|(v2_struct_0(X49)|~v15_algstr_0(X49)|~v2_group_1(X49)|~v3_group_1(X49)|~v5_group_1(X49)|~l3_algstr_0(X49)))&(v1_funct_2(k5_group_24(X49),u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X49)))|(v2_struct_0(X49)|~v15_algstr_0(X49)|~v2_group_1(X49)|~v3_group_1(X49)|~v5_group_1(X49)|~l3_algstr_0(X49))))&(v1_group_6(k5_group_24(X49),k4_gr_cy_1(np__2),k3_autgroup(X49))|(v2_struct_0(X49)|~v15_algstr_0(X49)|~v2_group_1(X49)|~v3_group_1(X49)|~v5_group_1(X49)|~l3_algstr_0(X49))))&(m1_subset_1(k5_group_24(X49),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X49)))))|(v2_struct_0(X49)|~v15_algstr_0(X49)|~v2_group_1(X49)|~v3_group_1(X49)|~v5_group_1(X49)|~l3_algstr_0(X49)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])).
fof(c_0_73, plain, ![X51]:(((v1_funct_1(k4_group_24(X51))|(v2_struct_0(X51)|~v15_algstr_0(X51)|~v2_group_1(X51)|~v3_group_1(X51)|~v5_group_1(X51)|~l3_algstr_0(X51)))&(v1_funct_2(k4_group_24(X51),u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X51)))|(v2_struct_0(X51)|~v15_algstr_0(X51)|~v2_group_1(X51)|~v3_group_1(X51)|~v5_group_1(X51)|~l3_algstr_0(X51))))&(v1_group_6(k4_group_24(X51),k4_gr_cy_1(np__2),k3_autgroup(X51))|(v2_struct_0(X51)|~v15_algstr_0(X51)|~v2_group_1(X51)|~v3_group_1(X51)|~v5_group_1(X51)|~l3_algstr_0(X51)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])).
cnf(c_0_74, plain, (v2_struct_0(X1)|k5_group_24(X1)=k4_group_24(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_54])).
cnf(c_0_75, negated_conjecture, (v15_algstr_0(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_38]), c_0_39])).
cnf(c_0_76, negated_conjecture, (v5_group_1(k4_gr_cy_1(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_56, c_0_57]), c_0_58]), c_0_59]), c_0_60])]), c_0_61])).
fof(c_0_77, 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_78, 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_79, plain, ![X56, X57]:(v2_struct_0(X56)|~v2_group_1(X56)|~v3_group_1(X56)|~l3_algstr_0(X56)|(~m1_subset_1(X57,u1_struct_0(X56))|k5_group_1(X56,X57,np__2)=k6_algstr_0(X56,X57,X57))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])).
cnf(c_0_80, plain, (v2_group_1(k6_group_24(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_63, c_0_64])).
cnf(c_0_81, plain, (l3_algstr_0(k6_group_24(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_65, c_0_64])).
cnf(c_0_82, plain, (v3_group_1(k6_group_24(X1))|v8_ordinal1(X1)|~v1_counters(X1)), inference(csr,[status(thm)],[c_0_66, c_0_45])).
fof(c_0_83, plain, ![X61, X62, X63, X64, X65, X66]:(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)|(~v1_funct_1(X63)|~v1_funct_2(X63,u1_struct_0(X62),u1_struct_0(k3_autgroup(X61)))|~v1_group_6(X63,X62,k3_autgroup(X61))|~m1_subset_1(X63,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X62),u1_struct_0(k3_autgroup(X61)))))|(~v1_int_1(X64)|(~m1_subset_1(X65,u1_struct_0(k1_group_24(X61,X62,X63)))|(~m1_subset_1(X66,u1_struct_0(X62))|(X65!=k5_group_7(X61,X62,k1_group_1(X61),X66)|k5_group_1(k1_group_24(X61,X62,X63),X65,X64)=k5_group_7(X61,X62,k1_group_1(X61),k5_group_1(X62,X66,X64))))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])).
cnf(c_0_84, 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_68])).
cnf(c_0_85, plain, (~v8_ordinal1(np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_71])])).
cnf(c_0_86, 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_72])).
cnf(c_0_87, 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_72])).
cnf(c_0_88, plain, (v1_funct_1(k4_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_73])).
cnf(c_0_89, negated_conjecture, (k4_group_24(k4_gr_cy_1(esk1_0))=k5_group_24(k4_gr_cy_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[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_74, c_0_75]), c_0_58]), c_0_59]), c_0_60])]), c_0_61]), c_0_76])])).
fof(c_0_90, plain, ![X67, X68]:(v2_struct_0(X67)|~v8_struct_0(X67)|~v2_group_1(X67)|~v3_group_1(X67)|~l3_algstr_0(X67)|(~m1_subset_1(X68,u1_struct_0(X67))|k5_group_1(X67,X68,k7_group_1(X67))=k1_group_1(X67))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])])).
fof(c_0_91, plain, ![X54]:(~v7_ordinal1(X54)|v8_ordinal1(X54)|k7_group_1(k4_gr_cy_1(X54))=X54), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])).
fof(c_0_92, 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_93, plain, (v2_struct_0(X1)|k5_group_1(X1,X2,np__2)=k6_algstr_0(X1,X2,X2)|~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_79])).
cnf(c_0_94, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k6_group_24(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_95, negated_conjecture, (v2_group_1(k6_group_24(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_38]), c_0_39])).
cnf(c_0_96, negated_conjecture, (l3_algstr_0(k6_group_24(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_38]), c_0_39])).
cnf(c_0_97, plain, (v3_group_1(k6_group_24(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_82, c_0_64])).
cnf(c_0_98, plain, (v2_struct_0(X1)|v2_struct_0(X2)|k5_group_1(k1_group_24(X1,X2,X3),X5,X4)=k5_group_7(X1,X2,k1_group_1(X1),k5_group_1(X2,X6,X4))|~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)))))|~v1_int_1(X4)|~m1_subset_1(X5,u1_struct_0(k1_group_24(X1,X2,X3)))|~m1_subset_1(X6,u1_struct_0(X2))|X5!=k5_group_7(X1,X2,k1_group_1(X1),X6)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_99, 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_84, c_0_38]), c_0_39])).
cnf(c_0_100, plain, (l3_algstr_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_71]), c_0_85])).
cnf(c_0_101, plain, (~v2_struct_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_71]), c_0_85])).
cnf(c_0_102, 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)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[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_86, c_0_75]), c_0_58]), c_0_59]), c_0_60])]), c_0_61]), c_0_76])])).
cnf(c_0_103, 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))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[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_87, c_0_75]), c_0_58]), c_0_59]), c_0_60])]), c_0_61]), c_0_76])])).
cnf(c_0_104, negated_conjecture, (v1_funct_1(k5_group_24(k4_gr_cy_1(esk1_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_75]), c_0_76]), c_0_58]), c_0_59]), c_0_60])]), c_0_61])).
cnf(c_0_105, plain, (v3_group_1(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_71]), c_0_85])).
cnf(c_0_106, plain, (v2_group_1(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_71]), c_0_85])).
cnf(c_0_107, 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_72])).
cnf(c_0_108, 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_90])).
cnf(c_0_109, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k4_gr_cy_1(np__2)))), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_110, plain, (v8_struct_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_111, plain, (v8_ordinal1(X1)|k7_group_1(k4_gr_cy_1(X1))=X1|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_91])).
fof(c_0_112, plain, ![X58, X59, X60]:(v2_struct_0(X58)|~v2_group_1(X58)|~v3_group_1(X58)|~l3_algstr_0(X58)|(v2_struct_0(X59)|~v2_group_1(X59)|~v3_group_1(X59)|~l3_algstr_0(X59)|(~v1_funct_1(X60)|~v1_funct_2(X60,u1_struct_0(X59),u1_struct_0(k3_autgroup(X58)))|~v1_group_6(X60,X59,k3_autgroup(X58))|~m1_subset_1(X60,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X59),u1_struct_0(k3_autgroup(X58)))))|k1_group_1(k1_group_24(X58,X59,X60))=k5_group_7(X58,X59,k1_group_1(X58),k1_group_1(X59))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])])).
cnf(c_0_113, negated_conjecture, (k6_algstr_0(k6_group_24(esk1_0),esk3_0,esk3_0)=k5_group_1(k6_group_24(esk1_0),esk3_0,np__2)|v2_struct_0(k6_group_24(esk1_0))|~v3_group_1(k6_group_24(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_95]), c_0_96])])).
cnf(c_0_114, negated_conjecture, (v3_group_1(k6_group_24(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_38]), c_0_39])).
cnf(c_0_115, 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),k1_group_1(k4_gr_cy_1(esk1_0)),k5_group_1(k4_gr_cy_1(np__2),X3,X2))|X1!=k5_group_7(k4_gr_cy_1(esk1_0),k4_gr_cy_1(np__2),k1_group_1(k4_gr_cy_1(esk1_0)),X3)|~v1_int_1(X2)|~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))))))|~m1_subset_1(X1,u1_struct_0(k6_group_24(esk1_0)))|~m1_subset_1(X3,u1_struct_0(k4_gr_cy_1(np__2)))), 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(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(spm,[status(thm)],[c_0_98, c_0_99]), c_0_58]), c_0_59]), c_0_100]), c_0_60])]), c_0_61]), c_0_101]), c_0_102]), c_0_103]), c_0_104]), c_0_105]), c_0_106])])).
cnf(c_0_116, negated_conjecture, (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(cn,[status(thm)],[inference(rw,[status(thm)],[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_107, c_0_75]), c_0_58]), c_0_59]), c_0_60])]), c_0_61]), c_0_76])])).
cnf(c_0_117, negated_conjecture, (k5_group_1(k4_gr_cy_1(np__2),esk2_0,k7_group_1(k4_gr_cy_1(np__2)))=k1_group_1(k4_gr_cy_1(np__2))|~v8_struct_0(k4_gr_cy_1(np__2))), 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_108, c_0_109]), c_0_105]), c_0_106]), c_0_100])]), c_0_101])).
cnf(c_0_118, plain, (v8_struct_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_71]), c_0_85])).
cnf(c_0_119, plain, (k7_group_1(k4_gr_cy_1(np__2))=np__2), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_71]), c_0_85])).
cnf(c_0_120, 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_112])).
cnf(c_0_121, negated_conjecture, (k6_algstr_0(k6_group_24(esk1_0),esk3_0,esk3_0)!=k1_group_1(k6_group_24(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_122, negated_conjecture, (k6_algstr_0(k6_group_24(esk1_0),esk3_0,esk3_0)=k5_group_1(k6_group_24(esk1_0),esk3_0,np__2)|v2_struct_0(k6_group_24(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113, c_0_114])])).
cnf(c_0_123, 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),k1_group_1(k4_gr_cy_1(esk1_0)),k5_group_1(k4_gr_cy_1(np__2),X3,X2))|X1!=k5_group_7(k4_gr_cy_1(esk1_0),k4_gr_cy_1(np__2),k1_group_1(k4_gr_cy_1(esk1_0)),X3)|~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(np__2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115, c_0_116])])).
cnf(c_0_124, negated_conjecture, (k5_group_1(k4_gr_cy_1(np__2),esk2_0,np__2)=k1_group_1(k4_gr_cy_1(np__2))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117, c_0_118])]), c_0_119])).
cnf(c_0_125, 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))), 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_116]), c_0_99]), c_0_102]), c_0_103]), c_0_104]), c_0_105]), c_0_58]), c_0_106]), c_0_59]), c_0_100]), c_0_60])]), c_0_61]), c_0_101])).
cnf(c_0_126, negated_conjecture, (esk3_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)),esk2_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_127, negated_conjecture, (v2_struct_0(k6_group_24(esk1_0))|k5_group_1(k6_group_24(esk1_0),esk3_0,np__2)!=k1_group_1(k6_group_24(esk1_0))), inference(spm,[status(thm)],[c_0_121, c_0_122])).
cnf(c_0_128, negated_conjecture, (k5_group_1(k6_group_24(esk1_0),X1,np__2)=k1_group_1(k6_group_24(esk1_0))|X1!=esk3_0|~v1_int_1(np__2)|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_124]), c_0_125]), c_0_126]), c_0_109])])).
fof(c_0_129, plain, ![X44]:(~v7_ordinal1(X44)|v1_int_1(X44)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
cnf(c_0_130, plain, (v8_ordinal1(X1)|~v2_struct_0(k6_group_24(X1))|~v1_xxreal_0(X1)|~v1_counters(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_131, negated_conjecture, (v2_struct_0(k6_group_24(esk1_0))|~v1_int_1(np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_128]), c_0_94])])).
cnf(c_0_132, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_129])).
cnf(c_0_133, plain, (v8_ordinal1(X1)|~v2_struct_0(k6_group_24(X1))|~v1_counters(X1)), inference(csr,[status(thm)],[c_0_130, c_0_45])).
cnf(c_0_134, negated_conjecture, (v2_struct_0(k6_group_24(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_132]), c_0_71])])).
cnf(c_0_135, negated_conjecture, (~v1_counters(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_134]), c_0_39])).
cnf(c_0_136, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_64]), c_0_38])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 137
# Proof object clause steps            : 80
# Proof object formula steps           : 57
# Proof object conjectures             : 38
# Proof object clause conjectures      : 35
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 36
# Proof object initial formulas used   : 21
# Proof object generating inferences   : 37
# Proof object simplifying inferences  : 114
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 21
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 48
# Removed in clause preprocessing      : 4
# Initial clauses in saturation        : 44
# Processed clauses                    : 129
# ...of these trivial                  : 10
# ...subsumed                          : 4
# ...remaining for further processing  : 115
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 18
# Generated clauses                    : 100
# ...of the previous two non-trivial   : 102
# Contextual simplify-reflections      : 5
# Paramodulations                      : 99
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 1
# 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  : 97
#    Positive orientable unit clauses  : 46
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 45
# Current number of unprocessed clauses: 17
# ...number of literals in the above   : 121
# Current number of archived formulas  : 0
# Current number of archived clauses   : 18
# Clause-clause subsumption calls (NU) : 1417
# Rec. Clause-clause subsumption calls : 616
# Non-unit clause-clause subsumptions  : 9
# Unit Clause-clause subsumption calls : 281
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 11
# BW rewrite match successes           : 7
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 8837

# -------------------------------------------------
# User time                : 0.029 s
# System time              : 0.004 s
# Total time               : 0.033 s
# Maximum resident set size: 3516 pages
