# 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       : 0.015 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t55_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:((v1_group_3(X3,X1)&m1_group_2(X3,X1))=>~((r1_group_24(X1,X2,X3)&![X4]:((((v1_funct_1(X4)&v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(k5_group_6(X1,X3))))&v1_group_6(X4,X2,k5_group_6(X1,X3)))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k5_group_6(X1,X3))))))=>~((![X5]:(m1_subset_1(X5,u1_struct_0(X2))=>![X6]:(m1_subset_1(X6,u1_struct_0(X1))=>(X6=X5=>k3_funct_2(u1_struct_0(X2),u1_struct_0(k5_group_6(X1,X3)),X4,X5)=k13_group_2(X1,X3,X6))))&v3_funct_2(X4,u1_struct_0(X2),u1_struct_0(k5_group_6(X1,X3))))))))))), file('group_24/group_24__t56_group_24', t55_group_24)).
fof(d5_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:(m1_group_2(X3,X1)=>(r1_group_24(X1,X2,X3)<=>((v1_group_3(X3,X1)&k7_group_4(X1,X2,X3)=u1_struct_0(X1))&r1_group_2(X1,k10_group_2(X1,X2,X3),k6_group_2(X1))))))), file('group_24/group_24__t56_group_24', d5_group_24)).
fof(t56_group_24, conjecture, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:((v1_group_3(X3,X1)&m1_group_2(X3,X1))=>(r1_group_24(X1,X2,X3)=>r2_group_6(k5_group_6(X1,X3),X2))))), file('group_24/group_24__t56_group_24', t56_group_24)).
fof(dt_k5_group_6, axiom, ![X1, X2]:((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&v1_group_3(X2,X1))&m1_group_2(X2,X1))=>l3_algstr_0(k5_group_6(X1,X2))), file('group_24/group_24__t56_group_24', dt_k5_group_6)).
fof(dt_m1_group_2, axiom, ![X1]:(((~(v2_struct_0(X1))&v2_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>((~(v2_struct_0(X2))&v2_group_1(X2))&l3_algstr_0(X2)))), file('group_24/group_24__t56_group_24', dt_m1_group_2)).
fof(fc6_group_6, axiom, ![X1, X2]:((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&v1_group_3(X2,X1))&m1_group_2(X2,X1))=>(v2_group_1(k5_group_6(X1,X2))&v3_group_1(k5_group_6(X1,X2)))), file('group_24/group_24__t56_group_24', fc6_group_6)).
fof(cc1_group_2, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>v3_group_1(X2))), file('group_24/group_24__t56_group_24', cc1_group_2)).
fof(d11_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))=>(r1_group_6(X1,X2)<=>?[X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)))&v1_group_6(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))))&v3_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)))))), file('group_24/group_24__t56_group_24', d11_group_6)).
fof(redefinition_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)<=>r1_group_6(X1,X2))), file('group_24/group_24__t56_group_24', redefinition_r2_group_6)).
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__t56_group_24', symmetry_r2_group_6)).
fof(fc5_group_6, axiom, ![X1, X2]:((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&v1_group_3(X2,X1))&m1_group_2(X2,X1))=>(~(v2_struct_0(k5_group_6(X1,X2)))&v15_algstr_0(k5_group_6(X1,X2)))), file('group_24/group_24__t56_group_24', fc5_group_6)).
fof(c_0_11, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:((v1_group_3(X3,X1)&m1_group_2(X3,X1))=>~((r1_group_24(X1,X2,X3)&![X4]:((((v1_funct_1(X4)&v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(k5_group_6(X1,X3))))&v1_group_6(X4,X2,k5_group_6(X1,X3)))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k5_group_6(X1,X3))))))=>~((![X5]:(m1_subset_1(X5,u1_struct_0(X2))=>![X6]:(m1_subset_1(X6,u1_struct_0(X1))=>(X6=X5=>k3_funct_2(u1_struct_0(X2),u1_struct_0(k5_group_6(X1,X3)),X4,X5)=k13_group_2(X1,X3,X6))))&v3_funct_2(X4,u1_struct_0(X2),u1_struct_0(k5_group_6(X1,X3))))))))))), inference(fof_simplification,[status(thm)],[t55_group_24])).
fof(c_0_12, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:(m1_group_2(X3,X1)=>(r1_group_24(X1,X2,X3)<=>((v1_group_3(X3,X1)&k7_group_4(X1,X2,X3)=u1_struct_0(X1))&r1_group_2(X1,k10_group_2(X1,X2,X3),k6_group_2(X1))))))), inference(fof_simplification,[status(thm)],[d5_group_24])).
fof(c_0_13, plain, ![X60, X61, X62, X64, X65]:(((((v1_funct_1(esk5_3(X60,X61,X62))|~r1_group_24(X60,X61,X62)|(~v1_group_3(X62,X60)|~m1_group_2(X62,X60))|~m1_group_2(X61,X60)|(v2_struct_0(X60)|~v2_group_1(X60)|~v3_group_1(X60)|~l3_algstr_0(X60)))&(v1_funct_2(esk5_3(X60,X61,X62),u1_struct_0(X61),u1_struct_0(k5_group_6(X60,X62)))|~r1_group_24(X60,X61,X62)|(~v1_group_3(X62,X60)|~m1_group_2(X62,X60))|~m1_group_2(X61,X60)|(v2_struct_0(X60)|~v2_group_1(X60)|~v3_group_1(X60)|~l3_algstr_0(X60))))&(v1_group_6(esk5_3(X60,X61,X62),X61,k5_group_6(X60,X62))|~r1_group_24(X60,X61,X62)|(~v1_group_3(X62,X60)|~m1_group_2(X62,X60))|~m1_group_2(X61,X60)|(v2_struct_0(X60)|~v2_group_1(X60)|~v3_group_1(X60)|~l3_algstr_0(X60))))&(m1_subset_1(esk5_3(X60,X61,X62),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X61),u1_struct_0(k5_group_6(X60,X62)))))|~r1_group_24(X60,X61,X62)|(~v1_group_3(X62,X60)|~m1_group_2(X62,X60))|~m1_group_2(X61,X60)|(v2_struct_0(X60)|~v2_group_1(X60)|~v3_group_1(X60)|~l3_algstr_0(X60))))&((~m1_subset_1(X64,u1_struct_0(X61))|(~m1_subset_1(X65,u1_struct_0(X60))|(X65!=X64|k3_funct_2(u1_struct_0(X61),u1_struct_0(k5_group_6(X60,X62)),esk5_3(X60,X61,X62),X64)=k13_group_2(X60,X62,X65)))|~r1_group_24(X60,X61,X62)|(~v1_group_3(X62,X60)|~m1_group_2(X62,X60))|~m1_group_2(X61,X60)|(v2_struct_0(X60)|~v2_group_1(X60)|~v3_group_1(X60)|~l3_algstr_0(X60)))&(v3_funct_2(esk5_3(X60,X61,X62),u1_struct_0(X61),u1_struct_0(k5_group_6(X60,X62)))|~r1_group_24(X60,X61,X62)|(~v1_group_3(X62,X60)|~m1_group_2(X62,X60))|~m1_group_2(X61,X60)|(v2_struct_0(X60)|~v2_group_1(X60)|~v3_group_1(X60)|~l3_algstr_0(X60))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])).
fof(c_0_14, plain, ![X45, X46, X47]:((((v1_group_3(X47,X45)|~r1_group_24(X45,X46,X47)|~m1_group_2(X47,X45)|~m1_group_2(X46,X45)|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45)))&(k7_group_4(X45,X46,X47)=u1_struct_0(X45)|~r1_group_24(X45,X46,X47)|~m1_group_2(X47,X45)|~m1_group_2(X46,X45)|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))))&(r1_group_2(X45,k10_group_2(X45,X46,X47),k6_group_2(X45))|~r1_group_24(X45,X46,X47)|~m1_group_2(X47,X45)|~m1_group_2(X46,X45)|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))))&(~v1_group_3(X47,X45)|k7_group_4(X45,X46,X47)!=u1_struct_0(X45)|~r1_group_2(X45,k10_group_2(X45,X46,X47),k6_group_2(X45))|r1_group_24(X45,X46,X47)|~m1_group_2(X47,X45)|~m1_group_2(X46,X45)|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])).
fof(c_0_15, negated_conjecture, ~(![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:((v1_group_3(X3,X1)&m1_group_2(X3,X1))=>(r1_group_24(X1,X2,X3)=>r2_group_6(k5_group_6(X1,X3),X2)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t56_group_24])])).
fof(c_0_16, plain, ![X1, X2]:((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&v1_group_3(X2,X1))&m1_group_2(X2,X1))=>l3_algstr_0(k5_group_6(X1,X2))), inference(fof_simplification,[status(thm)],[dt_k5_group_6])).
fof(c_0_17, plain, ![X1]:(((~v2_struct_0(X1)&v2_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>((~v2_struct_0(X2)&v2_group_1(X2))&l3_algstr_0(X2)))), inference(fof_simplification,[status(thm)],[dt_m1_group_2])).
fof(c_0_18, plain, ![X1, X2]:((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&v1_group_3(X2,X1))&m1_group_2(X2,X1))=>(v2_group_1(k5_group_6(X1,X2))&v3_group_1(k5_group_6(X1,X2)))), inference(fof_simplification,[status(thm)],[fc6_group_6])).
fof(c_0_19, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>v3_group_1(X2))), inference(fof_simplification,[status(thm)],[cc1_group_2])).
fof(c_0_20, 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))=>(r1_group_6(X1,X2)<=>?[X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)))&v1_group_6(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))))&v3_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)))))), inference(fof_simplification,[status(thm)],[d11_group_6])).
cnf(c_0_21, plain, (m1_subset_1(esk5_3(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k5_group_6(X1,X3)))))|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~v1_group_3(X3,X1)|~m1_group_2(X3,X1)|~m1_group_2(X2,X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_22, plain, (v1_group_3(X1,X2)|v2_struct_0(X2)|~r1_group_24(X2,X3,X1)|~m1_group_2(X1,X2)|~m1_group_2(X3,X2)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_23, negated_conjecture, ((((~v2_struct_0(esk1_0)&v2_group_1(esk1_0))&v3_group_1(esk1_0))&l3_algstr_0(esk1_0))&(m1_group_2(esk2_0,esk1_0)&((v1_group_3(esk3_0,esk1_0)&m1_group_2(esk3_0,esk1_0))&(r1_group_24(esk1_0,esk2_0,esk3_0)&~r2_group_6(k5_group_6(esk1_0,esk3_0),esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
cnf(c_0_24, plain, (v3_funct_2(esk5_3(X1,X2,X3),u1_struct_0(X2),u1_struct_0(k5_group_6(X1,X3)))|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~v1_group_3(X3,X1)|~m1_group_2(X3,X1)|~m1_group_2(X2,X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_25, plain, (v1_group_6(esk5_3(X1,X2,X3),X2,k5_group_6(X1,X3))|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~v1_group_3(X3,X1)|~m1_group_2(X3,X1)|~m1_group_2(X2,X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_26, plain, (v1_funct_2(esk5_3(X1,X2,X3),u1_struct_0(X2),u1_struct_0(k5_group_6(X1,X3)))|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~v1_group_3(X3,X1)|~m1_group_2(X3,X1)|~m1_group_2(X2,X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_27, plain, (v1_funct_1(esk5_3(X1,X2,X3))|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~v1_group_3(X3,X1)|~m1_group_2(X3,X1)|~m1_group_2(X2,X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
fof(c_0_28, plain, ![X48, X49]:(v2_struct_0(X48)|~v2_group_1(X48)|~v3_group_1(X48)|~l3_algstr_0(X48)|~v1_group_3(X49,X48)|~m1_group_2(X49,X48)|l3_algstr_0(k5_group_6(X48,X49))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])).
fof(c_0_29, plain, ![X50, X51]:(((~v2_struct_0(X51)|~m1_group_2(X51,X50)|(v2_struct_0(X50)|~v2_group_1(X50)|~l3_algstr_0(X50)))&(v2_group_1(X51)|~m1_group_2(X51,X50)|(v2_struct_0(X50)|~v2_group_1(X50)|~l3_algstr_0(X50))))&(l3_algstr_0(X51)|~m1_group_2(X51,X50)|(v2_struct_0(X50)|~v2_group_1(X50)|~l3_algstr_0(X50)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])).
fof(c_0_30, plain, ![X54, X55]:((v2_group_1(k5_group_6(X54,X55))|(v2_struct_0(X54)|~v2_group_1(X54)|~v3_group_1(X54)|~l3_algstr_0(X54)|~v1_group_3(X55,X54)|~m1_group_2(X55,X54)))&(v3_group_1(k5_group_6(X54,X55))|(v2_struct_0(X54)|~v2_group_1(X54)|~v3_group_1(X54)|~l3_algstr_0(X54)|~v1_group_3(X55,X54)|~m1_group_2(X55,X54)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
fof(c_0_31, plain, ![X39, X40]:(v2_struct_0(X39)|~v2_group_1(X39)|~v3_group_1(X39)|~l3_algstr_0(X39)|(~m1_group_2(X40,X39)|v3_group_1(X40))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
fof(c_0_32, 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)<=>r1_group_6(X1,X2))), inference(fof_simplification,[status(thm)],[redefinition_r2_group_6])).
fof(c_0_33, plain, ![X41, X42, X44]:((((((v1_funct_1(esk4_2(X41,X42))|~r1_group_6(X41,X42)|(v2_struct_0(X42)|~v2_group_1(X42)|~v3_group_1(X42)|~l3_algstr_0(X42))|(v2_struct_0(X41)|~v2_group_1(X41)|~v3_group_1(X41)|~l3_algstr_0(X41)))&(v1_funct_2(esk4_2(X41,X42),u1_struct_0(X41),u1_struct_0(X42))|~r1_group_6(X41,X42)|(v2_struct_0(X42)|~v2_group_1(X42)|~v3_group_1(X42)|~l3_algstr_0(X42))|(v2_struct_0(X41)|~v2_group_1(X41)|~v3_group_1(X41)|~l3_algstr_0(X41))))&(v1_group_6(esk4_2(X41,X42),X41,X42)|~r1_group_6(X41,X42)|(v2_struct_0(X42)|~v2_group_1(X42)|~v3_group_1(X42)|~l3_algstr_0(X42))|(v2_struct_0(X41)|~v2_group_1(X41)|~v3_group_1(X41)|~l3_algstr_0(X41))))&(m1_subset_1(esk4_2(X41,X42),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X41),u1_struct_0(X42))))|~r1_group_6(X41,X42)|(v2_struct_0(X42)|~v2_group_1(X42)|~v3_group_1(X42)|~l3_algstr_0(X42))|(v2_struct_0(X41)|~v2_group_1(X41)|~v3_group_1(X41)|~l3_algstr_0(X41))))&(v3_funct_2(esk4_2(X41,X42),u1_struct_0(X41),u1_struct_0(X42))|~r1_group_6(X41,X42)|(v2_struct_0(X42)|~v2_group_1(X42)|~v3_group_1(X42)|~l3_algstr_0(X42))|(v2_struct_0(X41)|~v2_group_1(X41)|~v3_group_1(X41)|~l3_algstr_0(X41))))&(~v1_funct_1(X44)|~v1_funct_2(X44,u1_struct_0(X41),u1_struct_0(X42))|~v1_group_6(X44,X41,X42)|~m1_subset_1(X44,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X41),u1_struct_0(X42))))|~v3_funct_2(X44,u1_struct_0(X41),u1_struct_0(X42))|r1_group_6(X41,X42)|(v2_struct_0(X42)|~v2_group_1(X42)|~v3_group_1(X42)|~l3_algstr_0(X42))|(v2_struct_0(X41)|~v2_group_1(X41)|~v3_group_1(X41)|~l3_algstr_0(X41)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])])).
cnf(c_0_34, plain, (m1_subset_1(esk5_3(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k5_group_6(X1,X3)))))|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~m1_group_2(X3,X1)|~m1_group_2(X2,X1)|~l3_algstr_0(X1)|~v3_group_1(X1)|~v2_group_1(X1)), inference(csr,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_35, negated_conjecture, (r1_group_24(esk1_0,esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_36, negated_conjecture, (m1_group_2(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_37, negated_conjecture, (m1_group_2(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_38, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_39, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_40, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_41, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_42, plain, (v3_funct_2(esk5_3(X1,X2,X3),u1_struct_0(X2),u1_struct_0(k5_group_6(X1,X3)))|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~m1_group_2(X3,X1)|~m1_group_2(X2,X1)|~l3_algstr_0(X1)|~v3_group_1(X1)|~v2_group_1(X1)), inference(csr,[status(thm)],[c_0_24, c_0_22])).
cnf(c_0_43, plain, (v1_group_6(esk5_3(X1,X2,X3),X2,k5_group_6(X1,X3))|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~m1_group_2(X3,X1)|~m1_group_2(X2,X1)|~l3_algstr_0(X1)|~v3_group_1(X1)|~v2_group_1(X1)), inference(csr,[status(thm)],[c_0_25, c_0_22])).
cnf(c_0_44, plain, (v1_funct_2(esk5_3(X1,X2,X3),u1_struct_0(X2),u1_struct_0(k5_group_6(X1,X3)))|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~m1_group_2(X3,X1)|~m1_group_2(X2,X1)|~l3_algstr_0(X1)|~v3_group_1(X1)|~v2_group_1(X1)), inference(csr,[status(thm)],[c_0_26, c_0_22])).
cnf(c_0_45, plain, (v1_funct_1(esk5_3(X1,X2,X3))|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~m1_group_2(X3,X1)|~m1_group_2(X2,X1)|~l3_algstr_0(X1)|~v3_group_1(X1)|~v2_group_1(X1)), inference(csr,[status(thm)],[c_0_27, c_0_22])).
cnf(c_0_46, plain, (v2_struct_0(X1)|l3_algstr_0(k5_group_6(X1,X2))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v1_group_3(X2,X1)|~m1_group_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_47, negated_conjecture, (v1_group_3(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_48, plain, (l3_algstr_0(X1)|v2_struct_0(X2)|~m1_group_2(X1,X2)|~v2_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_49, plain, (v3_group_1(k5_group_6(X1,X2))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v1_group_3(X2,X1)|~m1_group_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_50, plain, (v2_struct_0(X1)|v3_group_1(X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_51, plain, (v2_group_1(k5_group_6(X1,X2))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v1_group_3(X2,X1)|~m1_group_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_52, plain, (v2_group_1(X1)|v2_struct_0(X2)|~m1_group_2(X1,X2)|~v2_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_53, plain, (v2_struct_0(X2)|~v2_struct_0(X1)|~m1_group_2(X1,X2)|~v2_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_29])).
fof(c_0_54, 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])).
fof(c_0_55, plain, ![X56, X57]:((~r2_group_6(X56,X57)|r1_group_6(X56,X57)|(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)))&(~r1_group_6(X56,X57)|r2_group_6(X56,X57)|(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)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])).
cnf(c_0_56, plain, (r1_group_6(X2,X3)|v2_struct_0(X3)|v2_struct_0(X2)|~v1_funct_1(X1)|~v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))|~v1_group_6(X1,X2,X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3))))|~v3_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_57, negated_conjecture, (m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(k5_group_6(esk1_0,esk3_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_34, c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40])]), c_0_41])).
cnf(c_0_58, negated_conjecture, (v3_funct_2(esk5_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(k5_group_6(esk1_0,esk3_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_42, c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40])]), c_0_41])).
cnf(c_0_59, negated_conjecture, (v1_group_6(esk5_3(esk1_0,esk2_0,esk3_0),esk2_0,k5_group_6(esk1_0,esk3_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_43, c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40])]), c_0_41])).
cnf(c_0_60, negated_conjecture, (v1_funct_2(esk5_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(k5_group_6(esk1_0,esk3_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_44, c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40])]), c_0_41])).
cnf(c_0_61, negated_conjecture, (v1_funct_1(esk5_3(esk1_0,esk2_0,esk3_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_45, c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40])]), c_0_41])).
cnf(c_0_62, negated_conjecture, (l3_algstr_0(k5_group_6(esk1_0,esk3_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(spm,[status(thm)],[c_0_46, c_0_47]), c_0_36]), c_0_38]), c_0_39]), c_0_40])]), c_0_41])).
cnf(c_0_63, negated_conjecture, (l3_algstr_0(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_37]), c_0_38]), c_0_40])]), c_0_41])).
cnf(c_0_64, negated_conjecture, (v3_group_1(k5_group_6(esk1_0,esk3_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(spm,[status(thm)],[c_0_49, c_0_47]), c_0_36]), c_0_38]), c_0_39]), c_0_40])]), c_0_41])).
cnf(c_0_65, negated_conjecture, (v3_group_1(esk2_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_50, c_0_37]), c_0_38]), c_0_39]), c_0_40])]), c_0_41])).
cnf(c_0_66, negated_conjecture, (v2_group_1(k5_group_6(esk1_0,esk3_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(spm,[status(thm)],[c_0_51, c_0_47]), c_0_36]), c_0_38]), c_0_39]), c_0_40])]), c_0_41])).
cnf(c_0_67, negated_conjecture, (v2_group_1(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_37]), c_0_38]), c_0_40])]), c_0_41])).
cnf(c_0_68, negated_conjecture, (~v2_struct_0(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_37]), c_0_38]), c_0_40])]), c_0_41])).
fof(c_0_69, plain, ![X1, X2]:((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&v1_group_3(X2,X1))&m1_group_2(X2,X1))=>(~v2_struct_0(k5_group_6(X1,X2))&v15_algstr_0(k5_group_6(X1,X2)))), inference(fof_simplification,[status(thm)],[fc5_group_6])).
fof(c_0_70, plain, ![X58, X59]:(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)|(~r2_group_6(X58,X59)|r2_group_6(X59,X58))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])).
cnf(c_0_71, plain, (r2_group_6(X1,X2)|v2_struct_0(X1)|v2_struct_0(X2)|~r1_group_6(X1,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)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_72, negated_conjecture, (r1_group_6(esk2_0,k5_group_6(esk1_0,esk3_0))|v2_struct_0(k5_group_6(esk1_0,esk3_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(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_56, c_0_57]), c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67])]), c_0_68])).
fof(c_0_73, plain, ![X52, X53]:((~v2_struct_0(k5_group_6(X52,X53))|(v2_struct_0(X52)|~v2_group_1(X52)|~v3_group_1(X52)|~l3_algstr_0(X52)|~v1_group_3(X53,X52)|~m1_group_2(X53,X52)))&(v15_algstr_0(k5_group_6(X52,X53))|(v2_struct_0(X52)|~v2_group_1(X52)|~v3_group_1(X52)|~l3_algstr_0(X52)|~v1_group_3(X53,X52)|~m1_group_2(X53,X52)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])).
cnf(c_0_74, 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_70])).
cnf(c_0_75, negated_conjecture, (r2_group_6(esk2_0,k5_group_6(esk1_0,esk3_0))|v2_struct_0(k5_group_6(esk1_0,esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67])]), c_0_68])).
cnf(c_0_76, negated_conjecture, (~r2_group_6(k5_group_6(esk1_0,esk3_0),esk2_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_77, plain, (v2_struct_0(X1)|~v2_struct_0(k5_group_6(X1,X2))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v1_group_3(X2,X1)|~m1_group_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_78, negated_conjecture, (v2_struct_0(k5_group_6(esk1_0,esk3_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(spm,[status(thm)],[c_0_74, c_0_75]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67])]), c_0_76]), c_0_68])).
cnf(c_0_79, negated_conjecture, ($false), 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_77, c_0_78]), c_0_47]), c_0_36]), c_0_38]), c_0_39]), c_0_40])]), c_0_41]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 80
# Proof object clause steps            : 47
# Proof object formula steps           : 33
# Proof object conjectures             : 28
# Proof object clause conjectures      : 25
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 26
# Proof object initial formulas used   : 11
# Proof object generating inferences   : 16
# Proof object simplifying inferences  : 111
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 11
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 37
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 37
# Processed clauses                    : 97
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 97
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 2
# Generated clauses                    : 32
# ...of the previous two non-trivial   : 29
# Contextual simplify-reflections      : 6
# Paramodulations                      : 31
# 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  : 57
#    Positive orientable unit clauses  : 25
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 28
# Current number of unprocessed clauses: 6
# ...number of literals in the above   : 12
# Current number of archived formulas  : 0
# Current number of archived clauses   : 39
# Clause-clause subsumption calls (NU) : 925
# Rec. Clause-clause subsumption calls : 29
# Non-unit clause-clause subsumptions  : 6
# Unit Clause-clause subsumption calls : 26
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 7230

# -------------------------------------------------
# User time                : 0.017 s
# System time              : 0.004 s
# Total time               : 0.020 s
# Maximum resident set size: 3516 pages
