# 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       : 0.019 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc10_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>((~(v2_struct_0(X1))&v7_struct_0(X1))=>v13_struct_0(X1,np__1))), file('group_24/group_24__t106_group_24', cc10_struct_0)).
fof(fc9_group_24, axiom, ((~(v2_struct_0(k4_gr_cy_1(np__1)))&v7_struct_0(k4_gr_cy_1(np__1)))&v15_algstr_0(k4_gr_cy_1(np__1))), file('group_24/group_24__t106_group_24', fc9_group_24)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('group_24/group_24__t106_group_24', dt_l3_algstr_0)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('group_24/group_24__t106_group_24', cc4_nat_1)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('group_24/group_24__t106_group_24', cc8_ordinal1)).
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__t106_group_24', dt_k5_group_24)).
fof(cc6_topgrp_1, axiom, ![X1]:(l3_algstr_0(X1)=>(v13_struct_0(X1,np__1)=>(((v13_struct_0(X1,np__1)&v2_group_1(X1))&v3_group_1(X1))&v5_group_1(X1)))), file('group_24/group_24__t106_group_24', cc6_topgrp_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__t106_group_24', fc5_gr_cy_1)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('group_24/group_24__t106_group_24', spc2_numerals)).
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__t106_group_24', dt_k4_gr_cy_1)).
fof(t69_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))))))=>((v15_algstr_0(X1)&v7_struct_0(X1))=>r2_group_6(k1_group_24(X1,X2,X3),X2))))), file('group_24/group_24__t106_group_24', t69_group_24)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('group_24/group_24__t106_group_24', spc1_numerals)).
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__t106_group_24', dt_k6_group_24)).
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__t106_group_24', d8_group_24)).
fof(cc1_counters, axiom, ![X1]:(v1_counters(X1)=>v1_xxreal_0(X1)), file('group_24/group_24__t106_group_24', cc1_counters)).
fof(fc11_group_24, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>((((~(v2_struct_0(k6_group_24(X1)))&v8_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)))), file('group_24/group_24__t106_group_24', fc11_group_24)).
fof(cc2_counters, axiom, ![X1]:(v7_ordinal1(X1)=>v1_counters(X1)), file('group_24/group_24__t106_group_24', cc2_counters)).
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__t106_group_24', fc8_gr_cy_1)).
fof(symmetry_r2_group_6, axiom, ![X1, X2]:((((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&~(v2_struct_0(X2)))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>(r2_group_6(X1,X2)=>r2_group_6(X2,X1))), file('group_24/group_24__t106_group_24', symmetry_r2_group_6)).
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__t106_group_24', cc1_gr_cy_1)).
fof(t106_group_24, conjecture, (r2_group_6(k6_group_24(np__1),k4_gr_cy_1(np__2))&v5_group_1(k6_group_24(np__1))), file('group_24/group_24__t106_group_24', t106_group_24)).
fof(t77_group_6, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>((r2_group_6(X1,X2)&v5_group_1(X1))=>v5_group_1(X2)))), file('group_24/group_24__t106_group_24', t77_group_6)).
fof(c_0_22, plain, ![X1]:(l1_struct_0(X1)=>((~v2_struct_0(X1)&v7_struct_0(X1))=>v13_struct_0(X1,np__1))), inference(fof_simplification,[status(thm)],[cc10_struct_0])).
fof(c_0_23, plain, ![X26]:(~l1_struct_0(X26)|(v2_struct_0(X26)|~v7_struct_0(X26)|v13_struct_0(X26,np__1))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])).
fof(c_0_24, plain, ((~v2_struct_0(k4_gr_cy_1(np__1))&v7_struct_0(k4_gr_cy_1(np__1)))&v15_algstr_0(k4_gr_cy_1(np__1))), inference(fof_simplification,[status(thm)],[fc9_group_24])).
cnf(c_0_25, plain, (v2_struct_0(X1)|v13_struct_0(X1,np__1)|~l1_struct_0(X1)|~v7_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_26, plain, (v7_struct_0(k4_gr_cy_1(np__1))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_27, plain, (~v2_struct_0(k4_gr_cy_1(np__1))), inference(split_conjunct,[status(thm)],[c_0_24])).
fof(c_0_28, plain, ![X37]:(~l3_algstr_0(X37)|l1_struct_0(X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
fof(c_0_29, 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_30, plain, ![X32]:(~m1_subset_1(X32,k4_ordinal1)|v7_ordinal1(X32)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_31, 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_32, plain, ![X31]:((((v13_struct_0(X31,np__1)|~v13_struct_0(X31,np__1)|~l3_algstr_0(X31))&(v2_group_1(X31)|~v13_struct_0(X31,np__1)|~l3_algstr_0(X31)))&(v3_group_1(X31)|~v13_struct_0(X31,np__1)|~l3_algstr_0(X31)))&(v5_group_1(X31)|~v13_struct_0(X31,np__1)|~l3_algstr_0(X31))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc6_topgrp_1])])])).
cnf(c_0_33, plain, (v13_struct_0(k4_gr_cy_1(np__1),np__1)|~l1_struct_0(k4_gr_cy_1(np__1))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27])).
cnf(c_0_34, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_35, 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_36, plain, ![X30]:((v7_ordinal1(X30)|(~v7_ordinal1(X30)|~v8_ordinal1(X30)))&(~v2_xxreal_0(X30)|(~v7_ordinal1(X30)|~v8_ordinal1(X30)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])).
cnf(c_0_37, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_38, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
fof(c_0_39, 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_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))))))=>((v15_algstr_0(X1)&v7_struct_0(X1))=>r2_group_6(k1_group_24(X1,X2,X3),X2))))), inference(fof_simplification,[status(thm)],[t69_group_24])).
fof(c_0_41, plain, ![X35]:((((v1_funct_1(k5_group_24(X35))|(v2_struct_0(X35)|~v15_algstr_0(X35)|~v2_group_1(X35)|~v3_group_1(X35)|~v5_group_1(X35)|~l3_algstr_0(X35)))&(v1_funct_2(k5_group_24(X35),u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X35)))|(v2_struct_0(X35)|~v15_algstr_0(X35)|~v2_group_1(X35)|~v3_group_1(X35)|~v5_group_1(X35)|~l3_algstr_0(X35))))&(v1_group_6(k5_group_24(X35),k4_gr_cy_1(np__2),k3_autgroup(X35))|(v2_struct_0(X35)|~v15_algstr_0(X35)|~v2_group_1(X35)|~v3_group_1(X35)|~v5_group_1(X35)|~l3_algstr_0(X35))))&(m1_subset_1(k5_group_24(X35),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(X35)))))|(v2_struct_0(X35)|~v15_algstr_0(X35)|~v2_group_1(X35)|~v3_group_1(X35)|~v5_group_1(X35)|~l3_algstr_0(X35)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
cnf(c_0_42, plain, (v5_group_1(X1)|~v13_struct_0(X1,np__1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_43, plain, (v13_struct_0(k4_gr_cy_1(np__1),np__1)|~l3_algstr_0(k4_gr_cy_1(np__1))), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_44, plain, (v2_group_1(X1)|~v13_struct_0(X1,np__1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_45, plain, (v3_group_1(X1)|~v13_struct_0(X1,np__1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
fof(c_0_46, plain, ![X39]:(((((~v2_struct_0(k4_gr_cy_1(X39))|(~v7_ordinal1(X39)|v8_ordinal1(X39)))&(v8_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))))&(v2_group_1(k4_gr_cy_1(X39))|(~v7_ordinal1(X39)|v8_ordinal1(X39))))&(v3_group_1(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_35])])])).
cnf(c_0_47, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_48, plain, (v2_xxreal_0(np__2)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_49, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_37, c_0_38])).
fof(c_0_50, plain, ![X34]:(((~v2_struct_0(k4_gr_cy_1(X34))|(~v7_ordinal1(X34)|v8_ordinal1(X34)))&(v15_algstr_0(k4_gr_cy_1(X34))|(~v7_ordinal1(X34)|v8_ordinal1(X34))))&(l3_algstr_0(k4_gr_cy_1(X34))|(~v7_ordinal1(X34)|v8_ordinal1(X34)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])).
fof(c_0_51, plain, ![X43, X44, X45]:(v2_struct_0(X43)|~v2_group_1(X43)|~v3_group_1(X43)|~l3_algstr_0(X43)|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44)|(~v1_funct_1(X45)|~v1_funct_2(X45,u1_struct_0(X44),u1_struct_0(k3_autgroup(X43)))|~v1_group_6(X45,X44,k3_autgroup(X43))|~m1_subset_1(X45,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X44),u1_struct_0(k3_autgroup(X43)))))|(~v15_algstr_0(X43)|~v7_struct_0(X43)|r2_group_6(k1_group_24(X43,X44,X45),X44))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])).
cnf(c_0_52, 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_41])).
cnf(c_0_53, plain, (v15_algstr_0(k4_gr_cy_1(np__1))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_54, plain, (v5_group_1(k4_gr_cy_1(np__1))|~l3_algstr_0(k4_gr_cy_1(np__1))), inference(spm,[status(thm)],[c_0_42, c_0_43])).
cnf(c_0_55, plain, (v2_group_1(k4_gr_cy_1(np__1))|~l3_algstr_0(k4_gr_cy_1(np__1))), inference(spm,[status(thm)],[c_0_44, c_0_43])).
cnf(c_0_56, plain, (v3_group_1(k4_gr_cy_1(np__1))|~l3_algstr_0(k4_gr_cy_1(np__1))), inference(spm,[status(thm)],[c_0_45, c_0_43])).
cnf(c_0_57, plain, (v2_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_58, plain, (~v8_ordinal1(np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49])])).
cnf(c_0_59, plain, (l3_algstr_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_50])).
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_41])).
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_41])).
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_41])).
cnf(c_0_63, plain, (v2_xxreal_0(np__1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_64, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
fof(c_0_65, 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])).
cnf(c_0_66, plain, (v2_struct_0(X1)|v2_struct_0(X2)|r2_group_6(k1_group_24(X1,X2,X3),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)))))|~v15_algstr_0(X1)|~v7_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_67, plain, (m1_subset_1(k5_group_24(k4_gr_cy_1(np__1)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(k4_gr_cy_1(np__1))))))|~l3_algstr_0(k4_gr_cy_1(np__1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_27]), c_0_54]), c_0_55]), c_0_56])).
cnf(c_0_68, plain, (v2_group_1(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_49]), c_0_58])).
cnf(c_0_69, plain, (l3_algstr_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_49]), c_0_58])).
cnf(c_0_70, plain, (v1_funct_1(k5_group_24(k4_gr_cy_1(np__1)))|~l3_algstr_0(k4_gr_cy_1(np__1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_53]), c_0_27]), c_0_54]), c_0_55]), c_0_56])).
cnf(c_0_71, plain, (v1_funct_2(k5_group_24(k4_gr_cy_1(np__1)),u1_struct_0(k4_gr_cy_1(np__2)),u1_struct_0(k3_autgroup(k4_gr_cy_1(np__1))))|~l3_algstr_0(k4_gr_cy_1(np__1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_53]), c_0_27]), c_0_54]), c_0_55]), c_0_56])).
cnf(c_0_72, plain, (v1_group_6(k5_group_24(k4_gr_cy_1(np__1)),k4_gr_cy_1(np__2),k3_autgroup(k4_gr_cy_1(np__1)))|~l3_algstr_0(k4_gr_cy_1(np__1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_53]), c_0_27]), c_0_54]), c_0_55]), c_0_56])).
cnf(c_0_73, plain, (v3_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_74, plain, (~v8_ordinal1(np__1)|~v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_47, c_0_63])).
cnf(c_0_75, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_37, c_0_64])).
fof(c_0_76, 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_77, plain, ![X36]:(((((~v2_struct_0(k6_group_24(X36))|(v8_ordinal1(X36)|~v1_xxreal_0(X36)|~v1_counters(X36)))&(v15_algstr_0(k6_group_24(X36))|(v8_ordinal1(X36)|~v1_xxreal_0(X36)|~v1_counters(X36))))&(v2_group_1(k6_group_24(X36))|(v8_ordinal1(X36)|~v1_xxreal_0(X36)|~v1_counters(X36))))&(v3_group_1(k6_group_24(X36))|(v8_ordinal1(X36)|~v1_xxreal_0(X36)|~v1_counters(X36))))&(l3_algstr_0(k6_group_24(X36))|(v8_ordinal1(X36)|~v1_xxreal_0(X36)|~v1_counters(X36)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])).
fof(c_0_78, plain, ![X27]:(~v1_counters(X27)|v1_xxreal_0(X27)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_counters])])).
cnf(c_0_79, plain, (v2_struct_0(k4_gr_cy_1(np__2))|r2_group_6(k1_group_24(k4_gr_cy_1(np__1),k4_gr_cy_1(np__2),k5_group_24(k4_gr_cy_1(np__1))),k4_gr_cy_1(np__2))|~v3_group_1(k4_gr_cy_1(np__2))|~l3_algstr_0(k4_gr_cy_1(np__1))), 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_53]), c_0_68]), c_0_69]), c_0_26])]), c_0_27]), c_0_55]), c_0_56]), c_0_70]), c_0_71]), c_0_72])).
cnf(c_0_80, plain, (v3_group_1(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_49]), c_0_58])).
cnf(c_0_81, plain, (~v8_ordinal1(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74, c_0_75])])).
fof(c_0_82, plain, ![X33]:(~v7_ordinal1(X33)|v8_ordinal1(X33)|k6_group_24(X33)=k1_group_24(k4_gr_cy_1(X33),k4_gr_cy_1(np__2),k5_group_24(k4_gr_cy_1(X33)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])).
fof(c_0_83, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>((((~v2_struct_0(k6_group_24(X1))&v8_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)))), inference(fof_simplification,[status(thm)],[fc11_group_24])).
cnf(c_0_84, 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_77])).
cnf(c_0_85, plain, (v1_xxreal_0(X1)|~v1_counters(X1)), inference(split_conjunct,[status(thm)],[c_0_78])).
fof(c_0_86, plain, ![X29]:(~v7_ordinal1(X29)|v1_counters(X29)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_counters])])).
fof(c_0_87, 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_88, plain, ![X1, X2]:((((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&~v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>(r2_group_6(X1,X2)=>r2_group_6(X2,X1))), inference(fof_simplification,[status(thm)],[symmetry_r2_group_6])).
cnf(c_0_89, plain, (v2_struct_0(k4_gr_cy_1(np__2))|r2_group_6(k1_group_24(k4_gr_cy_1(np__1),k4_gr_cy_1(np__2),k5_group_24(k4_gr_cy_1(np__1))),k4_gr_cy_1(np__2))|~l3_algstr_0(k4_gr_cy_1(np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79, c_0_80])])).
cnf(c_0_90, plain, (l3_algstr_0(k4_gr_cy_1(np__1))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_75]), c_0_81])).
cnf(c_0_91, 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_82])).
fof(c_0_92, plain, ![X38]:(((((~v2_struct_0(k6_group_24(X38))|(~v7_ordinal1(X38)|v8_ordinal1(X38)))&(v8_struct_0(k6_group_24(X38))|(~v7_ordinal1(X38)|v8_ordinal1(X38))))&(v15_algstr_0(k6_group_24(X38))|(~v7_ordinal1(X38)|v8_ordinal1(X38))))&(v2_group_1(k6_group_24(X38))|(~v7_ordinal1(X38)|v8_ordinal1(X38))))&(v3_group_1(k6_group_24(X38))|(~v7_ordinal1(X38)|v8_ordinal1(X38)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])])])).
cnf(c_0_93, plain, (v8_ordinal1(X1)|l3_algstr_0(k6_group_24(X1))|~v1_counters(X1)), inference(csr,[status(thm)],[c_0_84, c_0_85])).
cnf(c_0_94, plain, (v1_counters(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_86])).
fof(c_0_95, 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_96, plain, ![X40]:(((~v2_struct_0(k4_gr_cy_1(X40))|(~v7_ordinal1(X40)|v8_ordinal1(X40)))&(v15_algstr_0(k4_gr_cy_1(X40))|(~v7_ordinal1(X40)|v8_ordinal1(X40))))&(v1_gr_cy_1(k4_gr_cy_1(X40))|(~v7_ordinal1(X40)|v8_ordinal1(X40)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])])).
fof(c_0_97, negated_conjecture, ~((r2_group_6(k6_group_24(np__1),k4_gr_cy_1(np__2))&v5_group_1(k6_group_24(np__1)))), inference(assume_negation,[status(cth)],[t106_group_24])).
fof(c_0_98, 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))=>((r2_group_6(X1,X2)&v5_group_1(X1))=>v5_group_1(X2)))), inference(fof_simplification,[status(thm)],[t77_group_6])).
fof(c_0_99, plain, ![X41, X42]:(v2_struct_0(X41)|~v2_group_1(X41)|~v3_group_1(X41)|~l3_algstr_0(X41)|v2_struct_0(X42)|~v2_group_1(X42)|~v3_group_1(X42)|~l3_algstr_0(X42)|(~r2_group_6(X41,X42)|r2_group_6(X42,X41))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])).
cnf(c_0_100, plain, (v2_struct_0(k4_gr_cy_1(np__2))|r2_group_6(k1_group_24(k4_gr_cy_1(np__1),k4_gr_cy_1(np__2),k5_group_24(k4_gr_cy_1(np__1))),k4_gr_cy_1(np__2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_90])])).
cnf(c_0_101, plain, (k1_group_24(k4_gr_cy_1(np__1),k4_gr_cy_1(np__2),k5_group_24(k4_gr_cy_1(np__1)))=k6_group_24(np__1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_75]), c_0_81])).
cnf(c_0_102, plain, (v3_group_1(k6_group_24(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_92])).
cnf(c_0_103, plain, (v2_group_1(k6_group_24(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_92])).
cnf(c_0_104, plain, (v8_ordinal1(X1)|l3_algstr_0(k6_group_24(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_93, c_0_94])).
fof(c_0_105, plain, ![X28]:((((~v2_struct_0(X28)|(v2_struct_0(X28)|~v2_group_1(X28)|~v3_group_1(X28)|~v1_gr_cy_1(X28))|~l3_algstr_0(X28))&(v2_group_1(X28)|(v2_struct_0(X28)|~v2_group_1(X28)|~v3_group_1(X28)|~v1_gr_cy_1(X28))|~l3_algstr_0(X28)))&(v3_group_1(X28)|(v2_struct_0(X28)|~v2_group_1(X28)|~v3_group_1(X28)|~v1_gr_cy_1(X28))|~l3_algstr_0(X28)))&(v5_group_1(X28)|(v2_struct_0(X28)|~v2_group_1(X28)|~v3_group_1(X28)|~v1_gr_cy_1(X28))|~l3_algstr_0(X28))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])])).
cnf(c_0_106, plain, (v1_gr_cy_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_96])).
fof(c_0_107, negated_conjecture, (~r2_group_6(k6_group_24(np__1),k4_gr_cy_1(np__2))|~v5_group_1(k6_group_24(np__1))), inference(fof_nnf,[status(thm)],[c_0_97])).
fof(c_0_108, plain, ![X46, X47]:(v2_struct_0(X46)|~v2_group_1(X46)|~v3_group_1(X46)|~l3_algstr_0(X46)|(v2_struct_0(X47)|~v2_group_1(X47)|~v3_group_1(X47)|~l3_algstr_0(X47)|(~r2_group_6(X46,X47)|~v5_group_1(X46)|v5_group_1(X47)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_98])])])).
cnf(c_0_109, plain, (v2_struct_0(X1)|v2_struct_0(X2)|r2_group_6(X2,X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~r2_group_6(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_99])).
cnf(c_0_110, plain, (v2_struct_0(k4_gr_cy_1(np__2))|r2_group_6(k6_group_24(np__1),k4_gr_cy_1(np__2))), inference(rw,[status(thm)],[c_0_100, c_0_101])).
cnf(c_0_111, plain, (v3_group_1(k6_group_24(np__1))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_75]), c_0_81])).
cnf(c_0_112, plain, (v2_group_1(k6_group_24(np__1))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_75]), c_0_81])).
cnf(c_0_113, plain, (l3_algstr_0(k6_group_24(np__1))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_75]), c_0_81])).
cnf(c_0_114, 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_105])).
cnf(c_0_115, plain, (v1_gr_cy_1(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_49]), c_0_58])).
cnf(c_0_116, negated_conjecture, (~r2_group_6(k6_group_24(np__1),k4_gr_cy_1(np__2))|~v5_group_1(k6_group_24(np__1))), inference(split_conjunct,[status(thm)],[c_0_107])).
cnf(c_0_117, plain, (v2_struct_0(X1)|v2_struct_0(X2)|v5_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)|~r2_group_6(X1,X2)|~v5_group_1(X1)), inference(split_conjunct,[status(thm)],[c_0_108])).
cnf(c_0_118, plain, (v2_struct_0(k4_gr_cy_1(np__2))|v2_struct_0(k6_group_24(np__1))|r2_group_6(k4_gr_cy_1(np__2),k6_group_24(np__1))), 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_109, c_0_110]), c_0_80]), c_0_111]), c_0_68]), c_0_112]), c_0_69]), c_0_113])])).
cnf(c_0_119, plain, (v2_struct_0(k4_gr_cy_1(np__2))|v5_group_1(k4_gr_cy_1(np__2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_115]), c_0_80]), c_0_68]), c_0_69])])).
cnf(c_0_120, negated_conjecture, (v2_struct_0(k4_gr_cy_1(np__2))|~v5_group_1(k6_group_24(np__1))), inference(spm,[status(thm)],[c_0_116, c_0_110])).
cnf(c_0_121, plain, (v8_ordinal1(X1)|~v2_struct_0(k6_group_24(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_92])).
cnf(c_0_122, plain, (v2_struct_0(k6_group_24(np__1))|v2_struct_0(k4_gr_cy_1(np__2))), 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_117, c_0_118]), c_0_111]), c_0_80]), c_0_112]), c_0_68]), c_0_113]), c_0_69])]), c_0_119]), c_0_120])).
cnf(c_0_123, plain, (v8_ordinal1(X1)|~v2_struct_0(k4_gr_cy_1(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_124, plain, (v2_struct_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_122]), c_0_75])]), c_0_81])).
cnf(c_0_125, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_124]), c_0_49])]), c_0_58]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 126
# Proof object clause steps            : 70
# Proof object formula steps           : 56
# Proof object conjectures             : 5
# Proof object clause conjectures      : 2
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 35
# Proof object initial formulas used   : 22
# Proof object generating inferences   : 30
# Proof object simplifying inferences  : 73
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 22
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 52
# Removed in clause preprocessing      : 5
# Initial clauses in saturation        : 47
# Processed clauses                    : 121
# ...of these trivial                  : 4
# ...subsumed                          : 10
# ...remaining for further processing  : 107
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 23
# Generated clauses                    : 72
# ...of the previous two non-trivial   : 81
# Contextual simplify-reflections      : 29
# Paramodulations                      : 72
# 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  : 83
#    Positive orientable unit clauses  : 37
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 43
# Current number of unprocessed clauses: 7
# ...number of literals in the above   : 30
# Current number of archived formulas  : 0
# Current number of archived clauses   : 24
# Clause-clause subsumption calls (NU) : 1160
# Rec. Clause-clause subsumption calls : 580
# Non-unit clause-clause subsumptions  : 40
# Unit Clause-clause subsumption calls : 183
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 10
# BW rewrite match successes           : 7
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 6430

# -------------------------------------------------
# User time                : 0.025 s
# System time              : 0.000 s
# Total time               : 0.025 s
# Maximum resident set size: 3456 pages
