# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
# and selection function SelectCQIPrecWNTNp.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t120_group_3, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>((v1_group_3(X2,X1)&m1_group_2(X2,X1))<=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))=>k11_group_2(X1,X2,X3)=k12_group_2(X1,X2,X3))))), file('group_24/group_24__t52_group_24', t120_group_3)).
fof(t43_group_4, 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)=>((k7_group_4(X1,X2,X3)=k2_group_2(X1,k8_group_2(X1,X2),k8_group_2(X1,X3))&k7_group_4(X1,X2,X3)=k12_group_2(X1,X2,k8_group_2(X1,X3)))&k7_group_4(X1,X2,X3)=k11_group_2(X1,X3,k8_group_2(X1,X2)))))), file('group_24/group_24__t52_group_24', t43_group_4)).
fof(t52_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)<=>(k8_group_4(X1,X2,X3)=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))&r1_group_2(X1,k2_group_6(X1,X2,X3),k6_group_2(X1))))))), file('group_24/group_24__t52_group_24', t52_group_24)).
fof(dt_k8_group_2, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))=>m1_subset_1(k8_group_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))), file('group_24/group_24__t52_group_24', dt_k8_group_2)).
fof(dt_k7_group_4, axiom, ![X1, X2, X3]:((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&m1_group_2(X3,X1))=>m1_subset_1(k7_group_4(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))), file('group_24/group_24__t52_group_24', dt_k7_group_4)).
fof(dt_k8_group_4, axiom, ![X1, X2, X3]:((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&m1_group_2(X3,X1))=>(v15_algstr_0(k8_group_4(X1,X2,X3))&m1_group_2(k8_group_4(X1,X2,X3),X1))), file('group_24/group_24__t52_group_24', dt_k8_group_4)).
fof(t50_group_4, 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_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,k7_group_4(X1,X2,X3)))))), file('group_24/group_24__t52_group_24', t50_group_4)).
fof(dt_k5_group_4, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))=>(v15_algstr_0(k5_group_4(X1,X2))&m1_group_2(k5_group_4(X1,X2),X1))), file('group_24/group_24__t52_group_24', dt_k5_group_4)).
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__t52_group_24', dt_m1_group_2)).
fof(redefinition_r1_group_2, axiom, ![X1, X2, X3]:((((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&v15_algstr_0(X2))&m1_group_2(X2,X1))&v15_algstr_0(X3))&m1_group_2(X3,X1))=>(r1_group_2(X1,X2,X3)<=>X2=X3)), file('group_24/group_24__t52_group_24', redefinition_r1_group_2)).
fof(redefinition_k10_group_2, axiom, ![X1, X2, X3]:((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&m1_group_2(X3,X1))=>k10_group_2(X1,X2,X3)=k9_group_2(X1,X2,X3)), file('group_24/group_24__t52_group_24', redefinition_k10_group_2)).
fof(abstractness_v15_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>(v15_algstr_0(X1)=>X1=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))), file('group_24/group_24__t52_group_24', abstractness_v15_algstr_0)).
fof(t51_group_4, 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)=>(k7_group_4(X1,X2,X3)=k7_group_4(X1,X3,X2)=>u1_struct_0(k8_group_4(X1,X2,X3))=k7_group_4(X1,X2,X3))))), file('group_24/group_24__t52_group_24', t51_group_4)).
fof(redefinition_k2_group_6, axiom, ![X1, X2, X3]:(((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&v1_group_3(X3,X1))&m1_group_2(X3,X1))=>k2_group_6(X1,X2,X3)=k9_group_2(X1,X2,X3)), file('group_24/group_24__t52_group_24', redefinition_k2_group_6)).
fof(free_g3_algstr_0, axiom, ![X1, X2]:(((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))=>![X3, X4]:(g3_algstr_0(X1,X2)=g3_algstr_0(X3,X4)=>(X1=X3&X2=X4))), file('group_24/group_24__t52_group_24', free_g3_algstr_0)).
fof(dt_u2_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>((v1_funct_1(u2_algstr_0(X1))&v1_funct_2(u2_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))&m1_subset_1(u2_algstr_0(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))))), file('group_24/group_24__t52_group_24', dt_u2_algstr_0)).
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__t52_group_24', d5_group_24)).
fof(t8_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>(X2=u1_struct_0(X1)=>k5_group_4(X1,X2)=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))), file('group_24/group_24__t52_group_24', t8_group_24)).
fof(c_0_18, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>((v1_group_3(X2,X1)&m1_group_2(X2,X1))<=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))=>k11_group_2(X1,X2,X3)=k12_group_2(X1,X2,X3))))), inference(fof_simplification,[status(thm)],[t120_group_3])).
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)=>![X3]:(m1_group_2(X3,X1)=>((k7_group_4(X1,X2,X3)=k2_group_2(X1,k8_group_2(X1,X2),k8_group_2(X1,X3))&k7_group_4(X1,X2,X3)=k12_group_2(X1,X2,k8_group_2(X1,X3)))&k7_group_4(X1,X2,X3)=k11_group_2(X1,X3,k8_group_2(X1,X2)))))), inference(fof_simplification,[status(thm)],[t43_group_4])).
fof(c_0_20, 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)<=>(k8_group_4(X1,X2,X3)=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))&r1_group_2(X1,k2_group_6(X1,X2,X3),k6_group_2(X1)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t52_group_24])])).
fof(c_0_21, plain, ![X85, X86, X87]:((~v1_group_3(X86,X85)|~m1_group_2(X86,X85)|(~m1_subset_1(X87,k1_zfmisc_1(u1_struct_0(X85)))|k11_group_2(X85,X86,X87)=k12_group_2(X85,X86,X87))|~m1_group_2(X86,X85)|(v2_struct_0(X85)|~v2_group_1(X85)|~v3_group_1(X85)|~l3_algstr_0(X85)))&(((v1_group_3(X86,X85)|m1_subset_1(esk4_2(X85,X86),k1_zfmisc_1(u1_struct_0(X85)))|~m1_group_2(X86,X85)|(v2_struct_0(X85)|~v2_group_1(X85)|~v3_group_1(X85)|~l3_algstr_0(X85)))&(m1_group_2(X86,X85)|m1_subset_1(esk4_2(X85,X86),k1_zfmisc_1(u1_struct_0(X85)))|~m1_group_2(X86,X85)|(v2_struct_0(X85)|~v2_group_1(X85)|~v3_group_1(X85)|~l3_algstr_0(X85))))&((v1_group_3(X86,X85)|k11_group_2(X85,X86,esk4_2(X85,X86))!=k12_group_2(X85,X86,esk4_2(X85,X86))|~m1_group_2(X86,X85)|(v2_struct_0(X85)|~v2_group_1(X85)|~v3_group_1(X85)|~l3_algstr_0(X85)))&(m1_group_2(X86,X85)|k11_group_2(X85,X86,esk4_2(X85,X86))!=k12_group_2(X85,X86,esk4_2(X85,X86))|~m1_group_2(X86,X85)|(v2_struct_0(X85)|~v2_group_1(X85)|~v3_group_1(X85)|~l3_algstr_0(X85)))))), 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_18])])])])])).
fof(c_0_22, plain, ![X1, X2]:(((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))=>m1_subset_1(k8_group_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))), inference(fof_simplification,[status(thm)],[dt_k8_group_2])).
fof(c_0_23, plain, ![X89, X90, X91]:(((k7_group_4(X89,X90,X91)=k2_group_2(X89,k8_group_2(X89,X90),k8_group_2(X89,X91))|~m1_group_2(X91,X89)|~m1_group_2(X90,X89)|(v2_struct_0(X89)|~v2_group_1(X89)|~v3_group_1(X89)|~l3_algstr_0(X89)))&(k7_group_4(X89,X90,X91)=k12_group_2(X89,X90,k8_group_2(X89,X91))|~m1_group_2(X91,X89)|~m1_group_2(X90,X89)|(v2_struct_0(X89)|~v2_group_1(X89)|~v3_group_1(X89)|~l3_algstr_0(X89))))&(k7_group_4(X89,X90,X91)=k11_group_2(X89,X91,k8_group_2(X89,X90))|~m1_group_2(X91,X89)|~m1_group_2(X90,X89)|(v2_struct_0(X89)|~v2_group_1(X89)|~v3_group_1(X89)|~l3_algstr_0(X89)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])).
fof(c_0_24, 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)|(k8_group_4(esk1_0,esk2_0,esk3_0)!=g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0))|~r1_group_2(esk1_0,k2_group_6(esk1_0,esk2_0,esk3_0),k6_group_2(esk1_0))))&((k8_group_4(esk1_0,esk2_0,esk3_0)=g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0))|r1_group_24(esk1_0,esk2_0,esk3_0))&(r1_group_2(esk1_0,k2_group_6(esk1_0,esk2_0,esk3_0),k6_group_2(esk1_0))|r1_group_24(esk1_0,esk2_0,esk3_0))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])).
fof(c_0_25, plain, ![X1, X2, X3]:((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&m1_group_2(X3,X1))=>m1_subset_1(k7_group_4(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))), inference(fof_simplification,[status(thm)],[dt_k7_group_4])).
fof(c_0_26, plain, ![X1, X2, X3]:((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&m1_group_2(X3,X1))=>(v15_algstr_0(k8_group_4(X1,X2,X3))&m1_group_2(k8_group_4(X1,X2,X3),X1))), inference(fof_simplification,[status(thm)],[dt_k8_group_4])).
fof(c_0_27, 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_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,k7_group_4(X1,X2,X3)))))), inference(fof_simplification,[status(thm)],[t50_group_4])).
cnf(c_0_28, plain, (k11_group_2(X2,X1,X3)=k12_group_2(X2,X1,X3)|v2_struct_0(X2)|~v1_group_3(X1,X2)|~m1_group_2(X1,X2)|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))|~m1_group_2(X1,X2)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
fof(c_0_29, plain, ![X64, X65]:(v2_struct_0(X64)|~v2_group_1(X64)|~v3_group_1(X64)|~l3_algstr_0(X64)|~m1_group_2(X65,X64)|m1_subset_1(k8_group_2(X64,X65),k1_zfmisc_1(u1_struct_0(X64)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])).
cnf(c_0_30, plain, (k7_group_4(X1,X2,X3)=k12_group_2(X1,X2,k8_group_2(X1,X3))|v2_struct_0(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_23])).
cnf(c_0_31, negated_conjecture, (m1_group_2(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_32, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_33, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_34, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_35, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_36, plain, (k7_group_4(X1,X2,X3)=k11_group_2(X1,X3,k8_group_2(X1,X2))|v2_struct_0(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_23])).
cnf(c_0_37, negated_conjecture, (m1_group_2(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
fof(c_0_38, plain, ![X61, X62, X63]:(v2_struct_0(X61)|~v2_group_1(X61)|~v3_group_1(X61)|~l3_algstr_0(X61)|~m1_group_2(X62,X61)|~m1_group_2(X63,X61)|m1_subset_1(k7_group_4(X61,X62,X63),k1_zfmisc_1(u1_struct_0(X61)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])).
fof(c_0_39, plain, ![X66, X67, X68]:((v15_algstr_0(k8_group_4(X66,X67,X68))|(v2_struct_0(X66)|~v2_group_1(X66)|~v3_group_1(X66)|~l3_algstr_0(X66)|~m1_group_2(X67,X66)|~m1_group_2(X68,X66)))&(m1_group_2(k8_group_4(X66,X67,X68),X66)|(v2_struct_0(X66)|~v2_group_1(X66)|~v3_group_1(X66)|~l3_algstr_0(X66)|~m1_group_2(X67,X66)|~m1_group_2(X68,X66)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])).
fof(c_0_40, plain, ![X92, X93, X94]:(v2_struct_0(X92)|~v2_group_1(X92)|~v3_group_1(X92)|~l3_algstr_0(X92)|(~m1_group_2(X93,X92)|(~m1_group_2(X94,X92)|r1_group_2(X92,k8_group_4(X92,X93,X94),k5_group_4(X92,k7_group_4(X92,X93,X94)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])).
cnf(c_0_41, plain, (k12_group_2(X2,X1,X3)=k11_group_2(X2,X1,X3)|v2_struct_0(X2)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~m1_group_2(X1,X2)|~v1_group_3(X1,X2)|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))), inference(cn,[status(thm)],[c_0_28])).
cnf(c_0_42, negated_conjecture, (v1_group_3(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_43, plain, (v2_struct_0(X1)|m1_subset_1(k8_group_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_44, negated_conjecture, (k12_group_2(esk1_0,X1,k8_group_2(esk1_0,esk2_0))=k7_group_4(esk1_0,X1,esk2_0)|~m1_group_2(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_45, negated_conjecture, (k11_group_2(esk1_0,esk3_0,k8_group_2(esk1_0,X1))=k7_group_4(esk1_0,X1,esk3_0)|~m1_group_2(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
fof(c_0_46, plain, ![X1, X2]:(((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))=>(v15_algstr_0(k5_group_4(X1,X2))&m1_group_2(k5_group_4(X1,X2),X1))), inference(fof_simplification,[status(thm)],[dt_k5_group_4])).
cnf(c_0_47, plain, (v2_struct_0(X1)|m1_subset_1(k7_group_4(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_48, plain, (v15_algstr_0(k8_group_4(X1,X2,X3))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_39])).
fof(c_0_49, 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])).
cnf(c_0_50, plain, (m1_group_2(k8_group_4(X1,X2,X3),X1)|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_39])).
fof(c_0_51, plain, ![X1, X2, X3]:((((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&v15_algstr_0(X2))&m1_group_2(X2,X1))&v15_algstr_0(X3))&m1_group_2(X3,X1))=>(r1_group_2(X1,X2,X3)<=>X2=X3)), inference(fof_simplification,[status(thm)],[redefinition_r1_group_2])).
cnf(c_0_52, plain, (v2_struct_0(X1)|r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,k7_group_4(X1,X2,X3)))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_53, negated_conjecture, (k12_group_2(esk1_0,esk3_0,X1)=k11_group_2(esk1_0,esk3_0,X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_37]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_54, negated_conjecture, (m1_subset_1(k8_group_2(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_55, negated_conjecture, (k12_group_2(esk1_0,esk3_0,k8_group_2(esk1_0,esk2_0))=k7_group_4(esk1_0,esk3_0,esk2_0)), inference(spm,[status(thm)],[c_0_44, c_0_37])).
cnf(c_0_56, negated_conjecture, (k11_group_2(esk1_0,esk3_0,k8_group_2(esk1_0,esk2_0))=k7_group_4(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_45, c_0_31])).
fof(c_0_57, plain, ![X59, X60]:((v15_algstr_0(k5_group_4(X59,X60))|(v2_struct_0(X59)|~v2_group_1(X59)|~v3_group_1(X59)|~l3_algstr_0(X59)|~m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X59)))))&(m1_group_2(k5_group_4(X59,X60),X59)|(v2_struct_0(X59)|~v2_group_1(X59)|~v3_group_1(X59)|~l3_algstr_0(X59)|~m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X59)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])).
cnf(c_0_58, negated_conjecture, (m1_subset_1(k7_group_4(esk1_0,X1,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))|~m1_group_2(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
fof(c_0_59, plain, ![X1, X2, X3]:((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&m1_group_2(X3,X1))=>k10_group_2(X1,X2,X3)=k9_group_2(X1,X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k10_group_2])).
fof(c_0_60, plain, ![X55]:(~l3_algstr_0(X55)|(~v15_algstr_0(X55)|X55=g3_algstr_0(u1_struct_0(X55),u2_algstr_0(X55)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v15_algstr_0])])).
cnf(c_0_61, negated_conjecture, (v15_algstr_0(k8_group_4(esk1_0,X1,esk2_0))|~m1_group_2(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
fof(c_0_62, plain, ![X69, X70]:(((~v2_struct_0(X70)|~m1_group_2(X70,X69)|(v2_struct_0(X69)|~v2_group_1(X69)|~l3_algstr_0(X69)))&(v2_group_1(X70)|~m1_group_2(X70,X69)|(v2_struct_0(X69)|~v2_group_1(X69)|~l3_algstr_0(X69))))&(l3_algstr_0(X70)|~m1_group_2(X70,X69)|(v2_struct_0(X69)|~v2_group_1(X69)|~l3_algstr_0(X69)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])])).
cnf(c_0_63, negated_conjecture, (m1_group_2(k8_group_4(esk1_0,X1,esk2_0),esk1_0)|~m1_group_2(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
fof(c_0_64, 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)=>(k7_group_4(X1,X2,X3)=k7_group_4(X1,X3,X2)=>u1_struct_0(k8_group_4(X1,X2,X3))=k7_group_4(X1,X2,X3))))), inference(fof_simplification,[status(thm)],[t51_group_4])).
fof(c_0_65, plain, ![X82, X83, X84]:((~r1_group_2(X82,X83,X84)|X83=X84|(v2_struct_0(X82)|~v2_group_1(X82)|~v3_group_1(X82)|~l3_algstr_0(X82)|~v15_algstr_0(X83)|~m1_group_2(X83,X82)|~v15_algstr_0(X84)|~m1_group_2(X84,X82)))&(X83!=X84|r1_group_2(X82,X83,X84)|(v2_struct_0(X82)|~v2_group_1(X82)|~v3_group_1(X82)|~l3_algstr_0(X82)|~v15_algstr_0(X83)|~m1_group_2(X83,X82)|~v15_algstr_0(X84)|~m1_group_2(X84,X82)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])).
cnf(c_0_66, negated_conjecture, (r1_group_2(esk1_0,k8_group_4(esk1_0,X1,esk3_0),k5_group_4(esk1_0,k7_group_4(esk1_0,X1,esk3_0)))|~m1_group_2(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_37]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_67, negated_conjecture, (k7_group_4(esk1_0,esk2_0,esk3_0)=k7_group_4(esk1_0,esk3_0,esk2_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55]), c_0_56])).
cnf(c_0_68, plain, (v15_algstr_0(k5_group_4(X1,X2))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_69, negated_conjecture, (m1_subset_1(k7_group_4(esk1_0,esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))), inference(spm,[status(thm)],[c_0_58, c_0_37])).
cnf(c_0_70, negated_conjecture, (v15_algstr_0(k8_group_4(esk1_0,X1,esk3_0))|~m1_group_2(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_37]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_71, plain, (m1_group_2(k5_group_4(X1,X2),X1)|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_72, negated_conjecture, (m1_group_2(k8_group_4(esk1_0,X1,esk3_0),esk1_0)|~m1_group_2(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_37]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
fof(c_0_73, plain, ![X1, X2, X3]:(((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&v1_group_3(X3,X1))&m1_group_2(X3,X1))=>k2_group_6(X1,X2,X3)=k9_group_2(X1,X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k2_group_6])).
fof(c_0_74, plain, ![X76, X77, X78]:(v2_struct_0(X76)|~v2_group_1(X76)|~v3_group_1(X76)|~l3_algstr_0(X76)|~m1_group_2(X77,X76)|~m1_group_2(X78,X76)|k10_group_2(X76,X77,X78)=k9_group_2(X76,X77,X78)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])).
cnf(c_0_75, plain, (X1=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))|~l3_algstr_0(X1)|~v15_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_76, negated_conjecture, (v15_algstr_0(k8_group_4(esk1_0,esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_61, c_0_37])).
cnf(c_0_77, 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_62])).
cnf(c_0_78, negated_conjecture, (m1_group_2(k8_group_4(esk1_0,esk3_0,esk2_0),esk1_0)), inference(spm,[status(thm)],[c_0_63, c_0_37])).
fof(c_0_79, plain, ![X95, X96, X97]:(v2_struct_0(X95)|~v2_group_1(X95)|~v3_group_1(X95)|~l3_algstr_0(X95)|(~m1_group_2(X96,X95)|(~m1_group_2(X97,X95)|(k7_group_4(X95,X96,X97)!=k7_group_4(X95,X97,X96)|u1_struct_0(k8_group_4(X95,X96,X97))=k7_group_4(X95,X96,X97))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])])).
cnf(c_0_80, plain, (X2=X3|v2_struct_0(X1)|~r1_group_2(X1,X2,X3)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v15_algstr_0(X2)|~m1_group_2(X2,X1)|~v15_algstr_0(X3)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_81, negated_conjecture, (r1_group_2(esk1_0,k8_group_4(esk1_0,esk2_0,esk3_0),k5_group_4(esk1_0,k7_group_4(esk1_0,esk3_0,esk2_0)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_31]), c_0_67])).
cnf(c_0_82, negated_conjecture, (v15_algstr_0(k5_group_4(esk1_0,k7_group_4(esk1_0,esk3_0,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_68, c_0_69]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_83, negated_conjecture, (v15_algstr_0(k8_group_4(esk1_0,esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_70, c_0_31])).
cnf(c_0_84, negated_conjecture, (m1_group_2(k5_group_4(esk1_0,k7_group_4(esk1_0,esk3_0,esk2_0)),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_69]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_85, negated_conjecture, (m1_group_2(k8_group_4(esk1_0,esk2_0,esk3_0),esk1_0)), inference(spm,[status(thm)],[c_0_72, c_0_31])).
fof(c_0_86, plain, ![X79, X80, X81]:(v2_struct_0(X79)|~v2_group_1(X79)|~v3_group_1(X79)|~l3_algstr_0(X79)|~m1_group_2(X80,X79)|~v1_group_3(X81,X79)|~m1_group_2(X81,X79)|k2_group_6(X79,X80,X81)=k9_group_2(X79,X80,X81)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])).
cnf(c_0_87, plain, (v2_struct_0(X1)|k10_group_2(X1,X2,X3)=k9_group_2(X1,X2,X3)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_74])).
fof(c_0_88, plain, ![X72, X73, X74, X75]:((X72=X74|g3_algstr_0(X72,X73)!=g3_algstr_0(X74,X75)|(~v1_funct_1(X73)|~v1_funct_2(X73,k2_zfmisc_1(X72,X72),X72)|~m1_subset_1(X73,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X72,X72),X72)))))&(X73=X75|g3_algstr_0(X72,X73)!=g3_algstr_0(X74,X75)|(~v1_funct_1(X73)|~v1_funct_2(X73,k2_zfmisc_1(X72,X72),X72)|~m1_subset_1(X73,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X72,X72),X72)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_algstr_0])])])])).
fof(c_0_89, plain, ![X71]:(((v1_funct_1(u2_algstr_0(X71))|~l3_algstr_0(X71))&(v1_funct_2(u2_algstr_0(X71),k2_zfmisc_1(u1_struct_0(X71),u1_struct_0(X71)),u1_struct_0(X71))|~l3_algstr_0(X71)))&(m1_subset_1(u2_algstr_0(X71),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X71),u1_struct_0(X71)),u1_struct_0(X71))))|~l3_algstr_0(X71))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_algstr_0])])])).
cnf(c_0_90, negated_conjecture, (g3_algstr_0(u1_struct_0(k8_group_4(esk1_0,esk3_0,esk2_0)),u2_algstr_0(k8_group_4(esk1_0,esk3_0,esk2_0)))=k8_group_4(esk1_0,esk3_0,esk2_0)|~l3_algstr_0(k8_group_4(esk1_0,esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_75, c_0_76])).
cnf(c_0_91, negated_conjecture, (l3_algstr_0(k8_group_4(esk1_0,esk3_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_77, c_0_78]), c_0_32]), c_0_34])]), c_0_35])).
cnf(c_0_92, plain, (v2_struct_0(X1)|u1_struct_0(k8_group_4(X1,X2,X3))=k7_group_4(X1,X2,X3)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~m1_group_2(X3,X1)|k7_group_4(X1,X2,X3)!=k7_group_4(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_79])).
cnf(c_0_93, negated_conjecture, (r1_group_2(esk1_0,k8_group_4(esk1_0,X1,esk2_0),k5_group_4(esk1_0,k7_group_4(esk1_0,X1,esk2_0)))|~m1_group_2(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_94, negated_conjecture, (k5_group_4(esk1_0,k7_group_4(esk1_0,esk3_0,esk2_0))=k8_group_4(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
fof(c_0_95, 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])).
cnf(c_0_96, plain, (v2_struct_0(X1)|k2_group_6(X1,X2,X3)=k9_group_2(X1,X2,X3)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~v1_group_3(X3,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_97, negated_conjecture, (k9_group_2(esk1_0,X1,esk3_0)=k10_group_2(esk1_0,X1,esk3_0)|~m1_group_2(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_37]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_98, plain, (X1=X2|g3_algstr_0(X1,X3)!=g3_algstr_0(X2,X4)|~v1_funct_1(X3)|~v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_99, plain, (v1_funct_2(u2_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_100, plain, (m1_subset_1(u2_algstr_0(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_101, plain, (v1_funct_1(u2_algstr_0(X1))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_102, negated_conjecture, (g3_algstr_0(u1_struct_0(k8_group_4(esk1_0,esk3_0,esk2_0)),u2_algstr_0(k8_group_4(esk1_0,esk3_0,esk2_0)))=k8_group_4(esk1_0,esk3_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90, c_0_91])])).
cnf(c_0_103, negated_conjecture, (u1_struct_0(k8_group_4(esk1_0,esk3_0,esk2_0))=k7_group_4(esk1_0,esk3_0,esk2_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_92, c_0_67]), c_0_31]), c_0_37]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_104, negated_conjecture, (r1_group_2(esk1_0,k8_group_4(esk1_0,esk3_0,esk2_0),k8_group_4(esk1_0,esk2_0,esk3_0))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_37]), c_0_94])).
fof(c_0_105, plain, ![X56, X57, X58]:((((v1_group_3(X58,X56)|~r1_group_24(X56,X57,X58)|~m1_group_2(X58,X56)|~m1_group_2(X57,X56)|(v2_struct_0(X56)|~v2_group_1(X56)|~v3_group_1(X56)|~l3_algstr_0(X56)))&(k7_group_4(X56,X57,X58)=u1_struct_0(X56)|~r1_group_24(X56,X57,X58)|~m1_group_2(X58,X56)|~m1_group_2(X57,X56)|(v2_struct_0(X56)|~v2_group_1(X56)|~v3_group_1(X56)|~l3_algstr_0(X56))))&(r1_group_2(X56,k10_group_2(X56,X57,X58),k6_group_2(X56))|~r1_group_24(X56,X57,X58)|~m1_group_2(X58,X56)|~m1_group_2(X57,X56)|(v2_struct_0(X56)|~v2_group_1(X56)|~v3_group_1(X56)|~l3_algstr_0(X56))))&(~v1_group_3(X58,X56)|k7_group_4(X56,X57,X58)!=u1_struct_0(X56)|~r1_group_2(X56,k10_group_2(X56,X57,X58),k6_group_2(X56))|r1_group_24(X56,X57,X58)|~m1_group_2(X58,X56)|~m1_group_2(X57,X56)|(v2_struct_0(X56)|~v2_group_1(X56)|~v3_group_1(X56)|~l3_algstr_0(X56)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])])])).
cnf(c_0_106, negated_conjecture, (k9_group_2(esk1_0,X1,esk3_0)=k2_group_6(esk1_0,X1,esk3_0)|~m1_group_2(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_42]), c_0_37]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_107, negated_conjecture, (k9_group_2(esk1_0,esk2_0,esk3_0)=k10_group_2(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_97, c_0_31])).
cnf(c_0_108, plain, (u1_struct_0(X1)=X2|g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))!=g3_algstr_0(X2,X3)|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_99]), c_0_100]), c_0_101])).
cnf(c_0_109, negated_conjecture, (g3_algstr_0(k7_group_4(esk1_0,esk3_0,esk2_0),u2_algstr_0(k8_group_4(esk1_0,esk3_0,esk2_0)))=k8_group_4(esk1_0,esk3_0,esk2_0)), inference(rw,[status(thm)],[c_0_102, c_0_103])).
cnf(c_0_110, negated_conjecture, (k8_group_4(esk1_0,esk2_0,esk3_0)=g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0))|r1_group_24(esk1_0,esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_111, negated_conjecture, (k8_group_4(esk1_0,esk2_0,esk3_0)=k8_group_4(esk1_0,esk3_0,esk2_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(spm,[status(thm)],[c_0_80, c_0_104]), c_0_83]), c_0_76]), c_0_85]), c_0_78]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_112, plain, (r1_group_24(X2,X3,X1)|v2_struct_0(X2)|~v1_group_3(X1,X2)|k7_group_4(X2,X3,X1)!=u1_struct_0(X2)|~r1_group_2(X2,k10_group_2(X2,X3,X1),k6_group_2(X2))|~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_105])).
cnf(c_0_113, negated_conjecture, (k10_group_2(esk1_0,esk2_0,esk3_0)=k2_group_6(esk1_0,esk2_0,esk3_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_31]), c_0_107])).
cnf(c_0_114, negated_conjecture, (r1_group_2(esk1_0,k2_group_6(esk1_0,esk2_0,esk3_0),k6_group_2(esk1_0))|r1_group_24(esk1_0,esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_115, negated_conjecture, (k7_group_4(esk1_0,esk3_0,esk2_0)=X1|k8_group_4(esk1_0,esk3_0,esk2_0)!=g3_algstr_0(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_103]), c_0_109]), c_0_91])])).
cnf(c_0_116, negated_conjecture, (k8_group_4(esk1_0,esk3_0,esk2_0)=g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0))|r1_group_24(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_110, c_0_111])).
cnf(c_0_117, negated_conjecture, (r1_group_24(esk1_0,esk2_0,esk3_0)|k7_group_4(esk1_0,esk2_0,esk3_0)!=u1_struct_0(esk1_0)), 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_113]), c_0_42]), c_0_31]), c_0_37]), c_0_32]), c_0_33]), c_0_34])]), c_0_35]), c_0_114])).
fof(c_0_118, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>(X2=u1_struct_0(X1)=>k5_group_4(X1,X2)=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))), inference(fof_simplification,[status(thm)],[t8_group_24])).
cnf(c_0_119, negated_conjecture, (k7_group_4(esk1_0,esk3_0,esk2_0)=X1|r1_group_24(esk1_0,esk2_0,esk3_0)|g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0))!=g3_algstr_0(X1,X2)), inference(spm,[status(thm)],[c_0_115, c_0_116])).
cnf(c_0_120, negated_conjecture, (r1_group_24(esk1_0,esk2_0,esk3_0)|k7_group_4(esk1_0,esk3_0,esk2_0)!=u1_struct_0(esk1_0)), inference(rw,[status(thm)],[c_0_117, c_0_67])).
fof(c_0_121, plain, ![X98, X99]:(v2_struct_0(X98)|~v2_group_1(X98)|~v3_group_1(X98)|~l3_algstr_0(X98)|(~m1_subset_1(X99,k1_zfmisc_1(u1_struct_0(X98)))|(X99!=u1_struct_0(X98)|k5_group_4(X98,X99)=g3_algstr_0(u1_struct_0(X98),u2_algstr_0(X98))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_118])])])).
cnf(c_0_122, plain, (k7_group_4(X1,X2,X3)=u1_struct_0(X1)|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~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_105])).
cnf(c_0_123, negated_conjecture, (r1_group_24(esk1_0,esk2_0,esk3_0)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_119]), c_0_120])).
cnf(c_0_124, negated_conjecture, (~r1_group_24(esk1_0,esk2_0,esk3_0)|k8_group_4(esk1_0,esk2_0,esk3_0)!=g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0))|~r1_group_2(esk1_0,k2_group_6(esk1_0,esk2_0,esk3_0),k6_group_2(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_125, plain, (r1_group_2(X1,k10_group_2(X1,X2,X3),k6_group_2(X1))|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~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_105])).
cnf(c_0_126, plain, (v2_struct_0(X1)|k5_group_4(X1,X2)=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|X2!=u1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_121])).
cnf(c_0_127, negated_conjecture, (k7_group_4(esk1_0,esk3_0,esk2_0)=u1_struct_0(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_123]), c_0_67]), c_0_37]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_128, negated_conjecture, (k5_group_4(esk1_0,k7_group_4(esk1_0,esk3_0,esk2_0))=k8_group_4(esk1_0,esk3_0,esk2_0)), inference(rw,[status(thm)],[c_0_94, c_0_111])).
cnf(c_0_129, negated_conjecture, (k8_group_4(esk1_0,esk3_0,esk2_0)!=g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0))|~r1_group_2(esk1_0,k2_group_6(esk1_0,esk2_0,esk3_0),k6_group_2(esk1_0))|~r1_group_24(esk1_0,esk2_0,esk3_0)), inference(rw,[status(thm)],[c_0_124, c_0_111])).
cnf(c_0_130, negated_conjecture, (r1_group_2(esk1_0,k2_group_6(esk1_0,esk2_0,esk3_0),k6_group_2(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_123]), c_0_113]), c_0_37]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_131, plain, (k5_group_4(X1,u1_struct_0(X1))=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))|v2_struct_0(X1)|~m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X1)))|~l3_algstr_0(X1)|~v3_group_1(X1)|~v2_group_1(X1)), inference(er,[status(thm)],[c_0_126])).
cnf(c_0_132, negated_conjecture, (m1_subset_1(u1_struct_0(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0)))), inference(rw,[status(thm)],[c_0_69, c_0_127])).
cnf(c_0_133, negated_conjecture, (k5_group_4(esk1_0,u1_struct_0(esk1_0))=k8_group_4(esk1_0,esk3_0,esk2_0)), inference(rw,[status(thm)],[c_0_128, c_0_127])).
cnf(c_0_134, negated_conjecture, (k8_group_4(esk1_0,esk3_0,esk2_0)!=g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129, c_0_123])]), c_0_130])])).
cnf(c_0_135, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_132]), c_0_32]), c_0_33]), c_0_34])]), c_0_35]), c_0_133]), c_0_134]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 136
# Proof object clause steps            : 85
# Proof object formula steps           : 51
# Proof object conjectures             : 61
# Proof object clause conjectures      : 58
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 34
# Proof object initial formulas used   : 18
# Proof object generating inferences   : 41
# Proof object simplifying inferences  : 163
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 18
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 44
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 42
# Processed clauses                    : 2300
# ...of these trivial                  : 65
# ...subsumed                          : 266
# ...remaining for further processing  : 1968
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 16
# Backward-rewritten                   : 619
# Generated clauses                    : 89816
# ...of the previous two non-trivial   : 90019
# Contextual simplify-reflections      : 7
# Paramodulations                      : 89809
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 7
# 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  : 1289
#    Positive orientable unit clauses  : 755
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 180
#    Non-unit-clauses                  : 354
# Current number of unprocessed clauses: 87685
# ...number of literals in the above   : 95013
# Current number of archived formulas  : 0
# Current number of archived clauses   : 677
# Clause-clause subsumption calls (NU) : 26415
# Rec. Clause-clause subsumption calls : 24714
# Non-unit clause-clause subsumptions  : 206
# Unit Clause-clause subsumption calls : 16627
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 32664
# BW rewrite match successes           : 18
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2462365

# -------------------------------------------------
# User time                : 0.695 s
# System time              : 0.051 s
# Total time               : 0.746 s
# Maximum resident set size: 3436 pages
