# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0V
# and selection function PSelectComplexExceptRRHorn.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t20_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,k1_group_1(X2)),X4)=X4)))), file('group_24/group_24__t32_group_24', t20_group_24)).
fof(t32_group_24, conjecture, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>![X6]:(m1_subset_1(X6,u1_struct_0(k1_group_24(X1,X2,X3)))=>![X7]:(m1_subset_1(X7,u1_struct_0(k1_group_24(X1,X2,X3)))=>![X8]:(m1_subset_1(X8,u1_struct_0(k1_group_24(X1,X2,X3)))=>(((X6=k5_group_7(X1,X2,X4,k1_group_1(X2))&X7=k5_group_7(X1,X2,X5,k1_group_1(X2)))&X8=k5_group_7(X1,X2,k6_algstr_0(X1,X4,X5),k1_group_1(X2)))=>k6_algstr_0(k1_group_24(X1,X2,X3),X6,X7)=X8))))))))), file('group_24/group_24__t32_group_24', t32_group_24)).
fof(t27_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))=>![X5]:(m1_subset_1(X5,u1_struct_0(k1_group_24(X1,X2,X3)))=>![X6]:(m1_subset_1(X6,u1_struct_0(X2))=>![X7]:(m1_subset_1(X7,u1_struct_0(X2))=>![X8]:(m1_subset_1(X8,u1_struct_0(X1))=>![X9]:(m1_subset_1(X9,u1_struct_0(X1))=>![X10]:(m1_subset_1(X10,u1_struct_0(X1))=>(((X4=k5_group_7(X1,X2,X8,X6)&X5=k5_group_7(X1,X2,X9,X7))&X10=k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,X6),X9))=>k6_algstr_0(k1_group_24(X1,X2,X3),X4,X5)=k5_group_7(X1,X2,k6_algstr_0(X1,X8,X10),k6_algstr_0(X2,X6,X7))))))))))))), file('group_24/group_24__t32_group_24', t27_group_24)).
fof(d4_group_1, axiom, ![X1]:(l3_algstr_0(X1)=>(v1_group_1(X1)=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>(X2=k1_group_1(X1)<=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(k6_algstr_0(X1,X3,X2)=X3&k6_algstr_0(X1,X2,X3)=X3)))))), file('group_24/group_24__t32_group_24', d4_group_1)).
fof(cc1_group_1, axiom, ![X1]:(l3_algstr_0(X1)=>(v2_group_1(X1)=>v1_group_1(X1))), file('group_24/group_24__t32_group_24', cc1_group_1)).
fof(dt_k1_group_1, axiom, ![X1]:(l3_algstr_0(X1)=>m1_subset_1(k1_group_1(X1),u1_struct_0(X1))), file('group_24/group_24__t32_group_24', dt_k1_group_1)).
fof(c_0_6, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~v2_struct_0(X2)&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,k1_group_1(X2)),X4)=X4)))), inference(fof_simplification,[status(thm)],[t20_group_24])).
fof(c_0_7, negated_conjecture, ~(![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~v2_struct_0(X2)&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>![X6]:(m1_subset_1(X6,u1_struct_0(k1_group_24(X1,X2,X3)))=>![X7]:(m1_subset_1(X7,u1_struct_0(k1_group_24(X1,X2,X3)))=>![X8]:(m1_subset_1(X8,u1_struct_0(k1_group_24(X1,X2,X3)))=>(((X6=k5_group_7(X1,X2,X4,k1_group_1(X2))&X7=k5_group_7(X1,X2,X5,k1_group_1(X2)))&X8=k5_group_7(X1,X2,k6_algstr_0(X1,X4,X5),k1_group_1(X2)))=>k6_algstr_0(k1_group_24(X1,X2,X3),X6,X7)=X8)))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t32_group_24])])).
fof(c_0_8, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~v2_struct_0(X2)&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))=>![X5]:(m1_subset_1(X5,u1_struct_0(k1_group_24(X1,X2,X3)))=>![X6]:(m1_subset_1(X6,u1_struct_0(X2))=>![X7]:(m1_subset_1(X7,u1_struct_0(X2))=>![X8]:(m1_subset_1(X8,u1_struct_0(X1))=>![X9]:(m1_subset_1(X9,u1_struct_0(X1))=>![X10]:(m1_subset_1(X10,u1_struct_0(X1))=>(((X4=k5_group_7(X1,X2,X8,X6)&X5=k5_group_7(X1,X2,X9,X7))&X10=k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,X6),X9))=>k6_algstr_0(k1_group_24(X1,X2,X3),X4,X5)=k5_group_7(X1,X2,k6_algstr_0(X1,X8,X10),k6_algstr_0(X2,X6,X7))))))))))))), inference(fof_simplification,[status(thm)],[t27_group_24])).
fof(c_0_9, plain, ![X52, X53, X54, X55]:(v2_struct_0(X52)|~v2_group_1(X52)|~v3_group_1(X52)|~l3_algstr_0(X52)|(v2_struct_0(X53)|~v2_group_1(X53)|~v3_group_1(X53)|~l3_algstr_0(X53)|(~v1_funct_1(X54)|~v1_funct_2(X54,u1_struct_0(X53),u1_struct_0(k3_autgroup(X52)))|~v1_group_6(X54,X53,k3_autgroup(X52))|~m1_subset_1(X54,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X53),u1_struct_0(k3_autgroup(X52)))))|(~m1_subset_1(X55,u1_struct_0(X52))|k1_funct_1(k3_funct_2(u1_struct_0(X53),u1_struct_0(k3_autgroup(X52)),X54,k1_group_1(X53)),X55)=X55)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
fof(c_0_10, negated_conjecture, ((((~v2_struct_0(esk1_0)&v2_group_1(esk1_0))&v3_group_1(esk1_0))&l3_algstr_0(esk1_0))&((((~v2_struct_0(esk2_0)&v2_group_1(esk2_0))&v3_group_1(esk2_0))&l3_algstr_0(esk2_0))&((((v1_funct_1(esk3_0)&v1_funct_2(esk3_0,u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0))))&v1_group_6(esk3_0,esk2_0,k3_autgroup(esk1_0)))&m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0))))))&(m1_subset_1(esk4_0,u1_struct_0(esk1_0))&(m1_subset_1(esk5_0,u1_struct_0(esk1_0))&(m1_subset_1(esk6_0,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))&(m1_subset_1(esk7_0,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))&(m1_subset_1(esk8_0,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))&(((esk6_0=k5_group_7(esk1_0,esk2_0,esk4_0,k1_group_1(esk2_0))&esk7_0=k5_group_7(esk1_0,esk2_0,esk5_0,k1_group_1(esk2_0)))&esk8_0=k5_group_7(esk1_0,esk2_0,k6_algstr_0(esk1_0,esk4_0,esk5_0),k1_group_1(esk2_0)))&k6_algstr_0(k1_group_24(esk1_0,esk2_0,esk3_0),esk6_0,esk7_0)!=esk8_0))))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
fof(c_0_11, plain, ![X56, X57, X58, X59, X60, X61, X62, X63, X64, X65]:(v2_struct_0(X56)|~v2_group_1(X56)|~v3_group_1(X56)|~l3_algstr_0(X56)|(v2_struct_0(X57)|~v2_group_1(X57)|~v3_group_1(X57)|~l3_algstr_0(X57)|(~v1_funct_1(X58)|~v1_funct_2(X58,u1_struct_0(X57),u1_struct_0(k3_autgroup(X56)))|~v1_group_6(X58,X57,k3_autgroup(X56))|~m1_subset_1(X58,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X57),u1_struct_0(k3_autgroup(X56)))))|(~m1_subset_1(X59,u1_struct_0(k1_group_24(X56,X57,X58)))|(~m1_subset_1(X60,u1_struct_0(k1_group_24(X56,X57,X58)))|(~m1_subset_1(X61,u1_struct_0(X57))|(~m1_subset_1(X62,u1_struct_0(X57))|(~m1_subset_1(X63,u1_struct_0(X56))|(~m1_subset_1(X64,u1_struct_0(X56))|(~m1_subset_1(X65,u1_struct_0(X56))|(X59!=k5_group_7(X56,X57,X63,X61)|X60!=k5_group_7(X56,X57,X64,X62)|X65!=k1_funct_1(k3_funct_2(u1_struct_0(X57),u1_struct_0(k3_autgroup(X56)),X58,X61),X64)|k6_algstr_0(k1_group_24(X56,X57,X58),X59,X60)=k5_group_7(X56,X57,k6_algstr_0(X56,X63,X65),k6_algstr_0(X57,X61,X62))))))))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
cnf(c_0_12, plain, (v2_struct_0(X1)|v2_struct_0(X2)|k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,k1_group_1(X2)),X4)=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)))))|~m1_subset_1(X4,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_13, negated_conjecture, (m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)))))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_14, negated_conjecture, (v1_group_6(esk3_0,esk2_0,k3_autgroup(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, negated_conjecture, (v1_funct_2(esk3_0,u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_17, negated_conjecture, (l3_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_18, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_19, negated_conjecture, (v3_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_20, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_21, negated_conjecture, (v2_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_22, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_23, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_24, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_25, plain, (v2_struct_0(X1)|v2_struct_0(X2)|k6_algstr_0(k1_group_24(X1,X2,X3),X4,X5)=k5_group_7(X1,X2,k6_algstr_0(X1,X8,X10),k6_algstr_0(X2,X6,X7))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))|~v1_group_6(X3,X2,k3_autgroup(X1))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))))|~m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))|~m1_subset_1(X5,u1_struct_0(k1_group_24(X1,X2,X3)))|~m1_subset_1(X6,u1_struct_0(X2))|~m1_subset_1(X7,u1_struct_0(X2))|~m1_subset_1(X8,u1_struct_0(X1))|~m1_subset_1(X9,u1_struct_0(X1))|~m1_subset_1(X10,u1_struct_0(X1))|X4!=k5_group_7(X1,X2,X8,X6)|X5!=k5_group_7(X1,X2,X9,X7)|X10!=k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,X6),X9)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_26, negated_conjecture, (k1_funct_1(k3_funct_2(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)),esk3_0,k1_group_1(esk2_0)),X1)=X1|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_12, c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22])]), c_0_23]), c_0_24])).
fof(c_0_27, plain, ![X47, X48, X49]:(((k6_algstr_0(X47,X49,X48)=X49|~m1_subset_1(X49,u1_struct_0(X47))|X48!=k1_group_1(X47)|~m1_subset_1(X48,u1_struct_0(X47))|~v1_group_1(X47)|~l3_algstr_0(X47))&(k6_algstr_0(X47,X48,X49)=X49|~m1_subset_1(X49,u1_struct_0(X47))|X48!=k1_group_1(X47)|~m1_subset_1(X48,u1_struct_0(X47))|~v1_group_1(X47)|~l3_algstr_0(X47)))&((m1_subset_1(esk9_2(X47,X48),u1_struct_0(X47))|X48=k1_group_1(X47)|~m1_subset_1(X48,u1_struct_0(X47))|~v1_group_1(X47)|~l3_algstr_0(X47))&(k6_algstr_0(X47,esk9_2(X47,X48),X48)!=esk9_2(X47,X48)|k6_algstr_0(X47,X48,esk9_2(X47,X48))!=esk9_2(X47,X48)|X48=k1_group_1(X47)|~m1_subset_1(X48,u1_struct_0(X47))|~v1_group_1(X47)|~l3_algstr_0(X47)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_group_1])])])])])).
cnf(c_0_28, negated_conjecture, (k6_algstr_0(k1_group_24(esk1_0,esk2_0,esk3_0),X1,X2)=k5_group_7(esk1_0,esk2_0,k6_algstr_0(esk1_0,X3,X4),k6_algstr_0(esk2_0,k1_group_1(esk2_0),X5))|X1!=k5_group_7(esk1_0,esk2_0,X3,k1_group_1(esk2_0))|X2!=k5_group_7(esk1_0,esk2_0,X4,X5)|~m1_subset_1(X2,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~m1_subset_1(X1,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~m1_subset_1(k1_group_1(esk2_0),u1_struct_0(esk2_0))|~m1_subset_1(X4,u1_struct_0(esk1_0))|~m1_subset_1(X3,u1_struct_0(esk1_0))|~m1_subset_1(X5,u1_struct_0(esk2_0))), inference(er,[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(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_25, c_0_26]), c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22])]), c_0_23]), c_0_24])])).
cnf(c_0_29, plain, (k6_algstr_0(X1,X2,X3)=X3|~m1_subset_1(X3,u1_struct_0(X1))|X2!=k1_group_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v1_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_30, negated_conjecture, (esk8_0=k5_group_7(esk1_0,esk2_0,k6_algstr_0(esk1_0,esk4_0,esk5_0),k1_group_1(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_31, negated_conjecture, (k6_algstr_0(k1_group_24(esk1_0,esk2_0,esk3_0),X1,X2)=k5_group_7(esk1_0,esk2_0,k6_algstr_0(esk1_0,X3,X4),X5)|X1!=k5_group_7(esk1_0,esk2_0,X3,k1_group_1(esk2_0))|X2!=k5_group_7(esk1_0,esk2_0,X4,X5)|~v1_group_1(esk2_0)|~m1_subset_1(X2,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~m1_subset_1(X1,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~m1_subset_1(k1_group_1(esk2_0),u1_struct_0(esk2_0))|~m1_subset_1(X4,u1_struct_0(esk1_0))|~m1_subset_1(X3,u1_struct_0(esk1_0))|~m1_subset_1(X5,u1_struct_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_17])])).
cnf(c_0_32, negated_conjecture, (esk6_0=k5_group_7(esk1_0,esk2_0,esk4_0,k1_group_1(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_33, negated_conjecture, (esk7_0=k5_group_7(esk1_0,esk2_0,esk5_0,k1_group_1(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_34, negated_conjecture, (m1_subset_1(esk5_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_35, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_36, negated_conjecture, (k6_algstr_0(k1_group_24(esk1_0,esk2_0,esk3_0),esk6_0,esk7_0)!=esk8_0), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_37, negated_conjecture, (k6_algstr_0(k1_group_24(esk1_0,esk2_0,esk3_0),X1,X2)=esk8_0|X1!=esk6_0|X2!=esk7_0|~v1_group_1(esk2_0)|~m1_subset_1(X2,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~m1_subset_1(X1,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~m1_subset_1(k1_group_1(esk2_0),u1_struct_0(esk2_0))), 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_30, c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])])).
cnf(c_0_38, negated_conjecture, (m1_subset_1(esk7_0,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_39, negated_conjecture, (m1_subset_1(esk6_0,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_40, plain, ![X46]:(~l3_algstr_0(X46)|(~v2_group_1(X46)|v1_group_1(X46))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_group_1])])).
cnf(c_0_41, negated_conjecture, (~v1_group_1(esk2_0)|~m1_subset_1(k1_group_1(esk2_0),u1_struct_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38]), c_0_39])])).
cnf(c_0_42, plain, (v1_group_1(X1)|~l3_algstr_0(X1)|~v2_group_1(X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
fof(c_0_43, plain, ![X51]:(~l3_algstr_0(X51)|m1_subset_1(k1_group_1(X51),u1_struct_0(X51))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_group_1])])).
cnf(c_0_44, negated_conjecture, (~m1_subset_1(k1_group_1(esk2_0),u1_struct_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_17]), c_0_21])])).
cnf(c_0_45, plain, (m1_subset_1(k1_group_1(X1),u1_struct_0(X1))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_46, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_17])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 47
# Proof object clause steps            : 32
# Proof object formula steps           : 15
# Proof object conjectures             : 30
# Proof object clause conjectures      : 27
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 25
# Proof object initial formulas used   : 6
# Proof object generating inferences   : 7
# Proof object simplifying inferences  : 41
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 29
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 29
# Processed clauses                    : 387
# ...of these trivial                  : 21
# ...subsumed                          : 140
# ...remaining for further processing  : 226
# Other redundant clauses eliminated   : 5
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 49
# Backward-rewritten                   : 3
# Generated clauses                    : 1987
# ...of the previous two non-trivial   : 1926
# Contextual simplify-reflections      : 16
# Paramodulations                      : 1965
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 22
# 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  : 145
#    Positive orientable unit clauses  : 19
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 122
# Current number of unprocessed clauses: 1562
# ...number of literals in the above   : 22470
# Current number of archived formulas  : 0
# Current number of archived clauses   : 81
# Clause-clause subsumption calls (NU) : 13489
# Rec. Clause-clause subsumption calls : 583
# Non-unit clause-clause subsumptions  : 204
# Unit Clause-clause subsumption calls : 75
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 19
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 153424

# -------------------------------------------------
# User time                : 0.108 s
# System time              : 0.000 s
# Total time               : 0.108 s
# Maximum resident set size: 3452 pages
