# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S039A
# and selection function PSelectUnlessUniqMaxPos.
#
# Preprocessing time       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('group_24/group_24__t92_group_24', cc4_nat_1)).
fof(t70_group_24, axiom, ![X1]:(((((~(v2_struct_0(X1))&v8_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(((((~(v2_struct_0(X2))&v8_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))))))=>k7_struct_0(k1_group_24(X1,X2,X3))=k3_xcmplx_0(k7_group_1(X1),k7_group_1(X2))))), file('group_24/group_24__t92_group_24', t70_group_24)).
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__t92_group_24', rd1_group_24)).
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__t92_group_24', dt_k4_gr_cy_1)).
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__t92_group_24', fc5_gr_cy_1)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('group_24/group_24__t92_group_24', cc8_ordinal1)).
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__t92_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__t92_group_24', spc2_numerals)).
fof(t92_group_24, conjecture, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k7_struct_0(k6_group_24(X1))=k3_xcmplx_0(np__2,X1)), file('group_24/group_24__t92_group_24', t92_group_24)).
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__t92_group_24', dt_k5_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__t92_group_24', cc1_gr_cy_1)).
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__t92_group_24', fc8_gr_cy_1)).
fof(commutativity_k3_xcmplx_0, axiom, ![X1, X2]:((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))=>k3_xcmplx_0(X1,X2)=k3_xcmplx_0(X2,X1)), file('group_24/group_24__t92_group_24', commutativity_k3_xcmplx_0)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('group_24/group_24__t92_group_24', cc3_xreal_0)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('group_24/group_24__t92_group_24', cc2_xreal_0)).
fof(c_0_15, 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_16, plain, ![X1]:(((((~v2_struct_0(X1)&v8_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(((((~v2_struct_0(X2)&v8_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))))))=>k7_struct_0(k1_group_24(X1,X2,X3))=k3_xcmplx_0(k7_group_1(X1),k7_group_1(X2))))), inference(fof_simplification,[status(thm)],[t70_group_24])).
fof(c_0_17, 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_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))=>((((~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_20, plain, ![X25]:((v7_ordinal1(X25)|(~v7_ordinal1(X25)|~v8_ordinal1(X25)))&(~v2_xxreal_0(X25)|(~v7_ordinal1(X25)|~v8_ordinal1(X25)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
fof(c_0_21, plain, ![X26]:(~m1_subset_1(X26,k4_ordinal1)|v7_ordinal1(X26)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_22, plain, ![X35, X36, X37]:(v2_struct_0(X35)|~v8_struct_0(X35)|~v2_group_1(X35)|~v3_group_1(X35)|~l3_algstr_0(X35)|(v2_struct_0(X36)|~v8_struct_0(X36)|~v2_group_1(X36)|~v3_group_1(X36)|~l3_algstr_0(X36)|(~v1_funct_1(X37)|~v1_funct_2(X37,u1_struct_0(X36),u1_struct_0(k3_autgroup(X35)))|~v1_group_6(X37,X36,k3_autgroup(X35))|~m1_subset_1(X37,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X36),u1_struct_0(k3_autgroup(X35)))))|k7_struct_0(k1_group_24(X35,X36,X37))=k3_xcmplx_0(k7_group_1(X35),k7_group_1(X36))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
fof(c_0_23, plain, ![X34]:(~v7_ordinal1(X34)|v8_ordinal1(X34)|k7_group_1(k4_gr_cy_1(X34))=X34), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])).
fof(c_0_24, plain, ![X30]:(((~v2_struct_0(k4_gr_cy_1(X30))|(~v7_ordinal1(X30)|v8_ordinal1(X30)))&(v15_algstr_0(k4_gr_cy_1(X30))|(~v7_ordinal1(X30)|v8_ordinal1(X30))))&(l3_algstr_0(k4_gr_cy_1(X30))|(~v7_ordinal1(X30)|v8_ordinal1(X30)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
fof(c_0_25, plain, ![X32]:(((((~v2_struct_0(k4_gr_cy_1(X32))|(~v7_ordinal1(X32)|v8_ordinal1(X32)))&(v8_struct_0(k4_gr_cy_1(X32))|(~v7_ordinal1(X32)|v8_ordinal1(X32))))&(v15_algstr_0(k4_gr_cy_1(X32))|(~v7_ordinal1(X32)|v8_ordinal1(X32))))&(v2_group_1(k4_gr_cy_1(X32))|(~v7_ordinal1(X32)|v8_ordinal1(X32))))&(v3_group_1(k4_gr_cy_1(X32))|(~v7_ordinal1(X32)|v8_ordinal1(X32)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
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])).
cnf(c_0_27, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_28, plain, (v2_xxreal_0(np__2)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_29, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_30, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
fof(c_0_31, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k7_struct_0(k6_group_24(X1))=k3_xcmplx_0(np__2,X1))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t92_group_24])])).
cnf(c_0_32, plain, (v2_struct_0(X1)|v2_struct_0(X2)|k7_struct_0(k1_group_24(X1,X2,X3))=k3_xcmplx_0(k7_group_1(X1),k7_group_1(X2))|~v8_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v8_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)))))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_33, plain, (v8_ordinal1(X1)|k7_group_1(k4_gr_cy_1(X1))=X1|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_34, plain, (l3_algstr_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_35, plain, (v2_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_36, plain, (v3_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_37, plain, (v8_struct_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_38, plain, (v8_ordinal1(X1)|~v2_struct_0(k4_gr_cy_1(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
fof(c_0_39, plain, ![X29]:(~v7_ordinal1(X29)|v8_ordinal1(X29)|k6_group_24(X29)=k1_group_24(k4_gr_cy_1(X29),k4_gr_cy_1(np__2),k5_group_24(k4_gr_cy_1(X29)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])).
cnf(c_0_40, plain, (~v8_ordinal1(np__2)|~v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_27, c_0_28])).
cnf(c_0_41, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
fof(c_0_42, negated_conjecture, ((v7_ordinal1(esk1_0)&~v8_ordinal1(esk1_0))&k7_struct_0(k6_group_24(esk1_0))!=k3_xcmplx_0(np__2,esk1_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
cnf(c_0_43, plain, (k7_struct_0(k1_group_24(X1,k4_gr_cy_1(X2),X3))=k3_xcmplx_0(k7_group_1(X1),X2)|v2_struct_0(X1)|v8_ordinal1(X2)|~v8_struct_0(X1)|~v1_group_6(X3,k4_gr_cy_1(X2),k3_autgroup(X1))|~v1_funct_2(X3,u1_struct_0(k4_gr_cy_1(X2)),u1_struct_0(k3_autgroup(X1)))|~v1_funct_1(X3)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(X2)),u1_struct_0(k3_autgroup(X1)))))|~v3_group_1(X1)|~v2_group_1(X1)|~l3_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38])).
cnf(c_0_44, 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_39])).
cnf(c_0_45, plain, (~v8_ordinal1(np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])])).
fof(c_0_46, 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])).
cnf(c_0_47, negated_conjecture, (k7_struct_0(k6_group_24(esk1_0))!=k3_xcmplx_0(np__2,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_48, plain, (k7_struct_0(k6_group_24(X1))=k3_xcmplx_0(k7_group_1(k4_gr_cy_1(X1)),np__2)|v8_ordinal1(X1)|~v1_group_6(k5_group_24(k4_gr_cy_1(X1)),k4_gr_cy_1(np__2),k3_autgroup(k4_gr_cy_1(X1)))|~v1_funct_2(k5_group_24(k4_gr_cy_1(X1)),u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(k4_gr_cy_1(X1))))|~v1_funct_1(k5_group_24(k4_gr_cy_1(X1)))|~m1_subset_1(k5_group_24(k4_gr_cy_1(X1)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(k4_gr_cy_1(X1))))))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_41])]), c_0_45]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38])).
cnf(c_0_49, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_50, negated_conjecture, (~v8_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_42])).
fof(c_0_51, plain, ![X31]:((((v1_funct_1(k5_group_24(X31))|(v2_struct_0(X31)|~v15_algstr_0(X31)|~v2_group_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~l3_algstr_0(X31)))&(v1_funct_2(k5_group_24(X31),u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X31)))|(v2_struct_0(X31)|~v15_algstr_0(X31)|~v2_group_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~l3_algstr_0(X31))))&(v1_group_6(k5_group_24(X31),k4_gr_cy_1(np__2),k3_autgroup(X31))|(v2_struct_0(X31)|~v15_algstr_0(X31)|~v2_group_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~l3_algstr_0(X31))))&(m1_subset_1(k5_group_24(X31),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X31)))))|(v2_struct_0(X31)|~v15_algstr_0(X31)|~v2_group_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~l3_algstr_0(X31)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])).
cnf(c_0_52, negated_conjecture, (k3_xcmplx_0(k7_group_1(k4_gr_cy_1(esk1_0)),np__2)!=k3_xcmplx_0(np__2,esk1_0)|~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)))|~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))))|~v1_funct_1(k5_group_24(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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49])]), c_0_50])).
cnf(c_0_53, 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_51])).
cnf(c_0_54, 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_51])).
cnf(c_0_55, 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_51])).
cnf(c_0_56, 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_51])).
fof(c_0_57, 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_58, 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])).
cnf(c_0_59, negated_conjecture, (v2_struct_0(k4_gr_cy_1(esk1_0))|k3_xcmplx_0(k7_group_1(k4_gr_cy_1(esk1_0)),np__2)!=k3_xcmplx_0(np__2,esk1_0)|~v15_algstr_0(k4_gr_cy_1(esk1_0))|~v5_group_1(k4_gr_cy_1(esk1_0))|~v3_group_1(k4_gr_cy_1(esk1_0))|~v2_group_1(k4_gr_cy_1(esk1_0))|~l3_algstr_0(k4_gr_cy_1(esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54]), c_0_55]), c_0_56])).
fof(c_0_60, plain, ![X22]:((((~v2_struct_0(X22)|(v2_struct_0(X22)|~v2_group_1(X22)|~v3_group_1(X22)|~v1_gr_cy_1(X22))|~l3_algstr_0(X22))&(v2_group_1(X22)|(v2_struct_0(X22)|~v2_group_1(X22)|~v3_group_1(X22)|~v1_gr_cy_1(X22))|~l3_algstr_0(X22)))&(v3_group_1(X22)|(v2_struct_0(X22)|~v2_group_1(X22)|~v3_group_1(X22)|~v1_gr_cy_1(X22))|~l3_algstr_0(X22)))&(v5_group_1(X22)|(v2_struct_0(X22)|~v2_group_1(X22)|~v3_group_1(X22)|~v1_gr_cy_1(X22))|~l3_algstr_0(X22))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])).
fof(c_0_61, plain, ![X33]:(((~v2_struct_0(k4_gr_cy_1(X33))|(~v7_ordinal1(X33)|v8_ordinal1(X33)))&(v15_algstr_0(k4_gr_cy_1(X33))|(~v7_ordinal1(X33)|v8_ordinal1(X33))))&(v1_gr_cy_1(k4_gr_cy_1(X33))|(~v7_ordinal1(X33)|v8_ordinal1(X33)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])).
cnf(c_0_62, negated_conjecture, (v2_struct_0(k4_gr_cy_1(esk1_0))|k3_xcmplx_0(np__2,esk1_0)!=k3_xcmplx_0(esk1_0,np__2)|~v15_algstr_0(k4_gr_cy_1(esk1_0))|~v5_group_1(k4_gr_cy_1(esk1_0))|~v3_group_1(k4_gr_cy_1(esk1_0))|~v2_group_1(k4_gr_cy_1(esk1_0))|~l3_algstr_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_59, c_0_33]), c_0_49])]), c_0_50])).
cnf(c_0_63, plain, (v15_algstr_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_64, 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_60])).
cnf(c_0_65, plain, (v1_gr_cy_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_66, negated_conjecture, (v2_struct_0(k4_gr_cy_1(esk1_0))|k3_xcmplx_0(np__2,esk1_0)!=k3_xcmplx_0(esk1_0,np__2)|~v5_group_1(k4_gr_cy_1(esk1_0))|~v3_group_1(k4_gr_cy_1(esk1_0))|~v2_group_1(k4_gr_cy_1(esk1_0))|~l3_algstr_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_62, c_0_63]), c_0_49])]), c_0_50])).
cnf(c_0_67, plain, (v5_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_34]), c_0_35]), c_0_36]), c_0_38])).
cnf(c_0_68, negated_conjecture, (v2_struct_0(k4_gr_cy_1(esk1_0))|k3_xcmplx_0(np__2,esk1_0)!=k3_xcmplx_0(esk1_0,np__2)|~v3_group_1(k4_gr_cy_1(esk1_0))|~v2_group_1(k4_gr_cy_1(esk1_0))|~l3_algstr_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_66, c_0_67]), c_0_49])]), c_0_50])).
cnf(c_0_69, negated_conjecture, (v2_struct_0(k4_gr_cy_1(esk1_0))|k3_xcmplx_0(np__2,esk1_0)!=k3_xcmplx_0(esk1_0,np__2)|~v2_group_1(k4_gr_cy_1(esk1_0))|~l3_algstr_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_68, c_0_36]), c_0_49])]), c_0_50])).
cnf(c_0_70, negated_conjecture, (v2_struct_0(k4_gr_cy_1(esk1_0))|k3_xcmplx_0(np__2,esk1_0)!=k3_xcmplx_0(esk1_0,np__2)|~l3_algstr_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_69, c_0_35]), c_0_49])]), c_0_50])).
fof(c_0_71, plain, ![X27, X28]:(~v1_xcmplx_0(X27)|~v1_xcmplx_0(X28)|k3_xcmplx_0(X27,X28)=k3_xcmplx_0(X28,X27)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k3_xcmplx_0])])).
fof(c_0_72, plain, ![X24]:(~v1_xreal_0(X24)|v1_xcmplx_0(X24)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
fof(c_0_73, plain, ![X23]:(~v7_ordinal1(X23)|v1_xreal_0(X23)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
cnf(c_0_74, negated_conjecture, (v2_struct_0(k4_gr_cy_1(esk1_0))|k3_xcmplx_0(np__2,esk1_0)!=k3_xcmplx_0(esk1_0,np__2)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_34]), c_0_49])]), c_0_50])).
cnf(c_0_75, plain, (k3_xcmplx_0(X1,X2)=k3_xcmplx_0(X2,X1)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_76, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_77, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_78, negated_conjecture, (v2_struct_0(k4_gr_cy_1(esk1_0))|~v1_xcmplx_0(esk1_0)|~v1_xcmplx_0(np__2)), inference(spm,[status(thm)],[c_0_74, c_0_75])).
cnf(c_0_79, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_76, c_0_77])).
cnf(c_0_80, negated_conjecture, (v2_struct_0(k4_gr_cy_1(esk1_0))|~v1_xcmplx_0(np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_79]), c_0_49])])).
cnf(c_0_81, negated_conjecture, (v2_struct_0(k4_gr_cy_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_79]), c_0_41])])).
cnf(c_0_82, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_81]), c_0_49])]), c_0_50]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 83
# Proof object clause steps            : 44
# Proof object formula steps           : 39
# Proof object conjectures             : 18
# Proof object clause conjectures      : 15
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 25
# Proof object initial formulas used   : 15
# Proof object generating inferences   : 18
# Proof object simplifying inferences  : 50
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 15
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 33
# Removed in clause preprocessing      : 4
# Initial clauses in saturation        : 29
# Processed clauses                    : 78
# ...of these trivial                  : 0
# ...subsumed                          : 8
# ...remaining for further processing  : 70
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 6
# Backward-rewritten                   : 4
# Generated clauses                    : 48
# ...of the previous two non-trivial   : 48
# Contextual simplify-reflections      : 17
# Paramodulations                      : 48
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# 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  : 35
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 27
# Current number of unprocessed clauses: 24
# ...number of literals in the above   : 446
# Current number of archived formulas  : 0
# Current number of archived clauses   : 35
# Clause-clause subsumption calls (NU) : 1165
# Rec. Clause-clause subsumption calls : 217
# Non-unit clause-clause subsumptions  : 31
# Unit Clause-clause subsumption calls : 10
# 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          : 6452

# -------------------------------------------------
# User time                : 0.019 s
# System time              : 0.006 s
# Total time               : 0.025 s
# Maximum resident set size: 3464 pages
