# 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       : 0.031 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc10_card_1, axiom, ![X1]:((~(v1_xboole_0(X1))&v1_zfmisc_1(X1))=>v3_card_1(X1,np__1)), file('gr_free0/gr_free0__t5_gr_free0', cc10_card_1)).
fof(t5_gr_free0, conjecture, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>(v1_zfmisc_1(X1)=>r2_group_6(k2_group_19(X1,X3,X2),k2_group_7(X1,X3)))))), file('gr_free0/gr_free0__t5_gr_free0', t5_gr_free0)).
fof(redefinition_k1_group_7, axiom, ![X1, X2, X3]:(((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&m1_subset_1(X3,X1))=>k1_group_7(X1,X2,X3)=k1_funct_1(X2,X3)), file('gr_free0/gr_free0__t5_gr_free0', redefinition_k1_group_7)).
fof(redefinition_k2_group_19, axiom, ![X1, X2, X3]:(((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>k2_group_19(X1,X2,X3)=k1_funct_1(X2,X3)), file('gr_free0/gr_free0__t5_gr_free0', redefinition_k2_group_19)).
fof(fc4_tops_5, axiom, ![X1, X2, X3]:((((((v3_card_1(X1,np__1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&m1_subset_1(X3,X1))=>((v1_relat_1(k12_card_3(X2,X3))&v1_funct_1(k12_card_3(X2,X3)))&v2_funct_1(k12_card_3(X2,X3)))), file('gr_free0/gr_free0__t5_gr_free0', fc4_tops_5)).
fof(dt_k14_pralg_1, axiom, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v2_pralg_1(X2))=>(((v1_relat_1(k14_pralg_1(X1,X2))&v4_relat_1(k14_pralg_1(X1,X2),X1))&v1_funct_1(k14_pralg_1(X1,X2)))&v1_partfun1(k14_pralg_1(X1,X2),X1))), file('gr_free0/gr_free0__t5_gr_free0', dt_k14_pralg_1)).
fof(t36_group_23, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>k12_group_23(X1,X2,X3)=k12_card_3(k14_pralg_1(X1,X3),X2)))), file('gr_free0/gr_free0__t5_gr_free0', t36_group_23)).
fof(t33_group_23, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>v2_funct_2(k12_group_23(X1,X2,X3),u1_struct_0(k1_group_7(X1,X3,X2)))))), file('gr_free0/gr_free0__t5_gr_free0', t33_group_23)).
fof(cc1_group_7, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_group_7(X1))=>((v1_relat_1(X1)&v1_funct_1(X1))&v2_pralg_1(X1))), file('gr_free0/gr_free0__t5_gr_free0', cc1_group_7)).
fof(dt_k12_group_23, axiom, ![X1, X2, X3]:(((((((((~(v1_xboole_0(X1))&m1_subset_1(X2,X1))&v1_relat_1(X3))&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>(((v1_funct_1(k12_group_23(X1,X2,X3))&v1_funct_2(k12_group_23(X1,X2,X3),u1_struct_0(k2_group_7(X1,X3)),u1_struct_0(k1_group_7(X1,X3,X2))))&v1_group_6(k12_group_23(X1,X2,X3),k2_group_7(X1,X3),k1_group_7(X1,X3,X2)))&m1_subset_1(k12_group_23(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(X1,X3)),u1_struct_0(k1_group_7(X1,X3,X2))))))), file('gr_free0/gr_free0__t5_gr_free0', dt_k12_group_23)).
fof(d3_funct_2, axiom, ![X1, X2]:((v1_relat_1(X2)&v5_relat_1(X2,X1))=>(v2_funct_2(X2,X1)<=>k2_relset_1(X1,X2)=X1)), file('gr_free0/gr_free0__t5_gr_free0', d3_funct_2)).
fof(cc2_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>(v4_relat_1(X3,X1)&v5_relat_1(X3,X2))), file('gr_free0/gr_free0__t5_gr_free0', cc2_relset_1)).
fof(dt_k2_group_19, axiom, ![X1, X2, X3]:(((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>(((~(v2_struct_0(k2_group_19(X1,X2,X3)))&v2_group_1(k2_group_19(X1,X2,X3)))&v3_group_1(k2_group_19(X1,X2,X3)))&l3_algstr_0(k2_group_19(X1,X2,X3)))), file('gr_free0/gr_free0__t5_gr_free0', dt_k2_group_19)).
fof(t60_group_6, axiom, ![X1, X2, X3]:(((v1_funct_1(X3)&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>(v3_funct_2(X3,X1,X2)<=>(k2_relset_1(X2,X3)=X2&v2_funct_1(X3)))), file('gr_free0/gr_free0__t5_gr_free0', t60_group_6)).
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('gr_free0/gr_free0__t5_gr_free0', d11_group_6)).
fof(dt_k2_group_7, axiom, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))=>(v15_algstr_0(k2_group_7(X1,X2))&l3_algstr_0(k2_group_7(X1,X2)))), file('gr_free0/gr_free0__t5_gr_free0', dt_k2_group_7)).
fof(fc5_group_7, axiom, ![X1, X2]:((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v3_group_7(X2,X1))=>(v15_algstr_0(k2_group_7(X1,X2))&v3_group_1(k2_group_7(X1,X2)))), file('gr_free0/gr_free0__t5_gr_free0', fc5_group_7)).
fof(fc4_group_7, axiom, ![X1, X2]:((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))=>(v15_algstr_0(k2_group_7(X1,X2))&v2_group_1(k2_group_7(X1,X2)))), file('gr_free0/gr_free0__t5_gr_free0', fc4_group_7)).
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('gr_free0/gr_free0__t5_gr_free0', 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('gr_free0/gr_free0__t5_gr_free0', symmetry_r2_group_6)).
fof(fc2_group_7, axiom, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))=>((~(v2_struct_0(k2_group_7(X1,X2)))&v15_algstr_0(k2_group_7(X1,X2)))&v1_monoid_0(k2_group_7(X1,X2)))), file('gr_free0/gr_free0__t5_gr_free0', fc2_group_7)).
fof(c_0_21, plain, ![X1]:((~v1_xboole_0(X1)&v1_zfmisc_1(X1))=>v3_card_1(X1,np__1)), inference(fof_simplification,[status(thm)],[cc10_card_1])).
fof(c_0_22, negated_conjecture, ~(![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>(v1_zfmisc_1(X1)=>r2_group_6(k2_group_19(X1,X3,X2),k2_group_7(X1,X3))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t5_gr_free0])])).
fof(c_0_23, plain, ![X1, X2, X3]:(((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&m1_subset_1(X3,X1))=>k1_group_7(X1,X2,X3)=k1_funct_1(X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k1_group_7])).
fof(c_0_24, plain, ![X58]:(v1_xboole_0(X58)|~v1_zfmisc_1(X58)|v3_card_1(X58,np__1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])).
fof(c_0_25, negated_conjecture, (~v1_xboole_0(esk1_0)&(m1_subset_1(esk2_0,esk1_0)&(((((((v1_relat_1(esk3_0)&v4_relat_1(esk3_0,esk1_0))&v1_funct_1(esk3_0))&v1_partfun1(esk3_0,esk1_0))&v1_group_7(esk3_0))&v2_group_7(esk3_0,esk1_0))&v3_group_7(esk3_0,esk1_0))&(v1_zfmisc_1(esk1_0)&~r2_group_6(k2_group_19(esk1_0,esk3_0,esk2_0),k2_group_7(esk1_0,esk3_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])).
fof(c_0_26, plain, ![X1, X2, X3]:(((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>k2_group_19(X1,X2,X3)=k1_funct_1(X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k2_group_19])).
fof(c_0_27, plain, ![X88, X89, X90]:(v1_xboole_0(X88)|~v1_relat_1(X89)|~v4_relat_1(X89,X88)|~v1_funct_1(X89)|~v1_partfun1(X89,X88)|~v1_group_7(X89)|~m1_subset_1(X90,X88)|k1_group_7(X88,X89,X90)=k1_funct_1(X89,X90)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])).
fof(c_0_28, plain, ![X83, X84, X85]:(((v1_relat_1(k12_card_3(X84,X85))|(~v3_card_1(X83,np__1)|~v1_relat_1(X84)|~v4_relat_1(X84,X83)|~v1_funct_1(X84)|~v1_partfun1(X84,X83)|~m1_subset_1(X85,X83)))&(v1_funct_1(k12_card_3(X84,X85))|(~v3_card_1(X83,np__1)|~v1_relat_1(X84)|~v4_relat_1(X84,X83)|~v1_funct_1(X84)|~v1_partfun1(X84,X83)|~m1_subset_1(X85,X83))))&(v2_funct_1(k12_card_3(X84,X85))|(~v3_card_1(X83,np__1)|~v1_relat_1(X84)|~v4_relat_1(X84,X83)|~v1_funct_1(X84)|~v1_partfun1(X84,X83)|~m1_subset_1(X85,X83)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_tops_5])])])).
cnf(c_0_29, plain, (v1_xboole_0(X1)|v3_card_1(X1,np__1)|~v1_zfmisc_1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_30, negated_conjecture, (v1_zfmisc_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_31, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_32, plain, ![X72, X73]:((((v1_relat_1(k14_pralg_1(X72,X73))|(~v1_relat_1(X73)|~v4_relat_1(X73,X72)|~v1_funct_1(X73)|~v1_partfun1(X73,X72)|~v2_pralg_1(X73)))&(v4_relat_1(k14_pralg_1(X72,X73),X72)|(~v1_relat_1(X73)|~v4_relat_1(X73,X72)|~v1_funct_1(X73)|~v1_partfun1(X73,X72)|~v2_pralg_1(X73))))&(v1_funct_1(k14_pralg_1(X72,X73))|(~v1_relat_1(X73)|~v4_relat_1(X73,X72)|~v1_funct_1(X73)|~v1_partfun1(X73,X72)|~v2_pralg_1(X73))))&(v1_partfun1(k14_pralg_1(X72,X73),X72)|(~v1_relat_1(X73)|~v4_relat_1(X73,X72)|~v1_funct_1(X73)|~v1_partfun1(X73,X72)|~v2_pralg_1(X73)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k14_pralg_1])])])).
fof(c_0_33, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>k12_group_23(X1,X2,X3)=k12_card_3(k14_pralg_1(X1,X3),X2)))), inference(fof_simplification,[status(thm)],[t36_group_23])).
fof(c_0_34, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>v2_funct_2(k12_group_23(X1,X2,X3),u1_struct_0(k1_group_7(X1,X3,X2)))))), inference(fof_simplification,[status(thm)],[t33_group_23])).
fof(c_0_35, plain, ![X91, X92, X93]:(v1_xboole_0(X91)|~v1_relat_1(X92)|~v4_relat_1(X92,X91)|~v1_funct_1(X92)|~v1_partfun1(X92,X91)|~v1_group_7(X92)|~v2_group_7(X92,X91)|~v3_group_7(X92,X91)|~m1_subset_1(X93,X91)|k2_group_19(X91,X92,X93)=k1_funct_1(X92,X93)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])).
cnf(c_0_36, plain, (v1_xboole_0(X1)|k1_group_7(X1,X2,X3)=k1_funct_1(X2,X3)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_37, negated_conjecture, (m1_subset_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_38, plain, (v1_relat_1(k12_card_3(X1,X2))|~v3_card_1(X3,np__1)|~v1_relat_1(X1)|~v4_relat_1(X1,X3)|~v1_funct_1(X1)|~v1_partfun1(X1,X3)|~m1_subset_1(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_39, negated_conjecture, (v3_card_1(esk1_0,np__1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])).
cnf(c_0_40, plain, (v1_partfun1(k14_pralg_1(X1,X2),X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v2_pralg_1(X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_41, negated_conjecture, (v1_partfun1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_42, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_43, negated_conjecture, (v4_relat_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_44, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_45, plain, ![X59]:(((v1_relat_1(X59)|(~v1_relat_1(X59)|~v1_funct_1(X59)|~v1_group_7(X59)))&(v1_funct_1(X59)|(~v1_relat_1(X59)|~v1_funct_1(X59)|~v1_group_7(X59))))&(v2_pralg_1(X59)|(~v1_relat_1(X59)|~v1_funct_1(X59)|~v1_group_7(X59)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_group_7])])])).
cnf(c_0_46, plain, (v1_funct_1(k14_pralg_1(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v2_pralg_1(X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_47, plain, (v4_relat_1(k14_pralg_1(X1,X2),X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v2_pralg_1(X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_48, plain, (v1_relat_1(k14_pralg_1(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v2_pralg_1(X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
fof(c_0_49, plain, ![X101, X102, X103]:(v1_xboole_0(X101)|(~m1_subset_1(X102,X101)|(~v1_relat_1(X103)|~v4_relat_1(X103,X101)|~v1_funct_1(X103)|~v1_partfun1(X103,X101)|~v1_group_7(X103)|~v2_group_7(X103,X101)|~v3_group_7(X103,X101)|k12_group_23(X101,X102,X103)=k12_card_3(k14_pralg_1(X101,X103),X102)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])).
fof(c_0_50, plain, ![X1, X2, X3]:(((((((((~v1_xboole_0(X1)&m1_subset_1(X2,X1))&v1_relat_1(X3))&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>(((v1_funct_1(k12_group_23(X1,X2,X3))&v1_funct_2(k12_group_23(X1,X2,X3),u1_struct_0(k2_group_7(X1,X3)),u1_struct_0(k1_group_7(X1,X3,X2))))&v1_group_6(k12_group_23(X1,X2,X3),k2_group_7(X1,X3),k1_group_7(X1,X3,X2)))&m1_subset_1(k12_group_23(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(X1,X3)),u1_struct_0(k1_group_7(X1,X3,X2))))))), inference(fof_simplification,[status(thm)],[dt_k12_group_23])).
fof(c_0_51, plain, ![X98, X99, X100]:(v1_xboole_0(X98)|(~m1_subset_1(X99,X98)|(~v1_relat_1(X100)|~v4_relat_1(X100,X98)|~v1_funct_1(X100)|~v1_partfun1(X100,X98)|~v1_group_7(X100)|~v2_group_7(X100,X98)|~v3_group_7(X100,X98)|v2_funct_2(k12_group_23(X98,X99,X100),u1_struct_0(k1_group_7(X98,X100,X99)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])).
cnf(c_0_52, plain, (v1_xboole_0(X1)|k2_group_19(X1,X2,X3)=k1_funct_1(X2,X3)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_53, negated_conjecture, (v3_group_7(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_54, negated_conjecture, (v2_group_7(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_55, negated_conjecture, (v1_group_7(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_56, negated_conjecture, (k1_funct_1(X1,esk2_0)=k1_group_7(esk1_0,X1,esk2_0)|~v1_group_7(X1)|~v1_partfun1(X1,esk1_0)|~v1_funct_1(X1)|~v4_relat_1(X1,esk1_0)|~v1_relat_1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_31])).
cnf(c_0_57, negated_conjecture, (v1_relat_1(k12_card_3(X1,X2))|~v1_partfun1(X1,esk1_0)|~v1_funct_1(X1)|~v4_relat_1(X1,esk1_0)|~v1_relat_1(X1)|~m1_subset_1(X2,esk1_0)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_58, negated_conjecture, (v1_partfun1(k14_pralg_1(esk1_0,esk3_0),esk1_0)|~v2_pralg_1(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_59, plain, (v2_pralg_1(X1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_group_7(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_60, negated_conjecture, (v1_funct_1(k14_pralg_1(esk1_0,esk3_0))|~v2_pralg_1(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_41]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_61, negated_conjecture, (v4_relat_1(k14_pralg_1(esk1_0,esk3_0),esk1_0)|~v2_pralg_1(esk3_0)), 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_41]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_62, negated_conjecture, (v1_relat_1(k14_pralg_1(esk1_0,esk3_0))|~v2_pralg_1(esk3_0)), 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_41]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_63, plain, (v1_xboole_0(X1)|k12_group_23(X1,X2,X3)=k12_card_3(k14_pralg_1(X1,X3),X2)|~m1_subset_1(X2,X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_group_7(X3)|~v2_group_7(X3,X1)|~v3_group_7(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_49])).
fof(c_0_64, plain, ![X69, X70, X71]:((((v1_funct_1(k12_group_23(X69,X70,X71))|(v1_xboole_0(X69)|~m1_subset_1(X70,X69)|~v1_relat_1(X71)|~v4_relat_1(X71,X69)|~v1_funct_1(X71)|~v1_partfun1(X71,X69)|~v1_group_7(X71)|~v2_group_7(X71,X69)|~v3_group_7(X71,X69)))&(v1_funct_2(k12_group_23(X69,X70,X71),u1_struct_0(k2_group_7(X69,X71)),u1_struct_0(k1_group_7(X69,X71,X70)))|(v1_xboole_0(X69)|~m1_subset_1(X70,X69)|~v1_relat_1(X71)|~v4_relat_1(X71,X69)|~v1_funct_1(X71)|~v1_partfun1(X71,X69)|~v1_group_7(X71)|~v2_group_7(X71,X69)|~v3_group_7(X71,X69))))&(v1_group_6(k12_group_23(X69,X70,X71),k2_group_7(X69,X71),k1_group_7(X69,X71,X70))|(v1_xboole_0(X69)|~m1_subset_1(X70,X69)|~v1_relat_1(X71)|~v4_relat_1(X71,X69)|~v1_funct_1(X71)|~v1_partfun1(X71,X69)|~v1_group_7(X71)|~v2_group_7(X71,X69)|~v3_group_7(X71,X69))))&(m1_subset_1(k12_group_23(X69,X70,X71),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(X69,X71)),u1_struct_0(k1_group_7(X69,X71,X70)))))|(v1_xboole_0(X69)|~m1_subset_1(X70,X69)|~v1_relat_1(X71)|~v4_relat_1(X71,X69)|~v1_funct_1(X71)|~v1_partfun1(X71,X69)|~v1_group_7(X71)|~v2_group_7(X71,X69)|~v3_group_7(X71,X69)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])).
cnf(c_0_65, plain, (v1_xboole_0(X1)|v2_funct_2(k12_group_23(X1,X2,X3),u1_struct_0(k1_group_7(X1,X3,X2)))|~m1_subset_1(X2,X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_group_7(X3)|~v2_group_7(X3,X1)|~v3_group_7(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_66, negated_conjecture, (k2_group_19(esk1_0,esk3_0,X1)=k1_funct_1(esk3_0,X1)|~m1_subset_1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54]), c_0_55]), c_0_41]), c_0_42]), c_0_43]), c_0_44])]), c_0_31])).
cnf(c_0_67, negated_conjecture, (k1_funct_1(esk3_0,esk2_0)=k1_group_7(esk1_0,esk3_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_56, c_0_41]), c_0_55]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_68, negated_conjecture, (v1_relat_1(k12_card_3(X1,esk2_0))|~v1_partfun1(X1,esk1_0)|~v1_funct_1(X1)|~v4_relat_1(X1,esk1_0)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_57, c_0_37])).
cnf(c_0_69, negated_conjecture, (v1_partfun1(k14_pralg_1(esk1_0,esk3_0),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_55]), c_0_42]), c_0_44])])).
cnf(c_0_70, negated_conjecture, (v1_funct_1(k14_pralg_1(esk1_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_59]), c_0_55]), c_0_42]), c_0_44])])).
cnf(c_0_71, negated_conjecture, (v4_relat_1(k14_pralg_1(esk1_0,esk3_0),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_59]), c_0_55]), c_0_42]), c_0_44])])).
cnf(c_0_72, negated_conjecture, (v1_relat_1(k14_pralg_1(esk1_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_59]), c_0_55]), c_0_42]), c_0_44])])).
cnf(c_0_73, negated_conjecture, (k12_card_3(k14_pralg_1(esk1_0,esk3_0),X1)=k12_group_23(esk1_0,X1,esk3_0)|~m1_subset_1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_53]), c_0_54]), c_0_55]), c_0_41]), c_0_42]), c_0_43]), c_0_44])]), c_0_31])).
cnf(c_0_74, plain, (m1_subset_1(k12_group_23(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(X1,X3)),u1_struct_0(k1_group_7(X1,X3,X2)))))|v1_xboole_0(X1)|~m1_subset_1(X2,X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_group_7(X3)|~v2_group_7(X3,X1)|~v3_group_7(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_64])).
cnf(c_0_75, plain, (v2_funct_1(k12_card_3(X1,X2))|~v3_card_1(X3,np__1)|~v1_relat_1(X1)|~v4_relat_1(X1,X3)|~v1_funct_1(X1)|~v1_partfun1(X1,X3)|~m1_subset_1(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_76, plain, ![X67, X68]:((~v2_funct_2(X68,X67)|k2_relset_1(X67,X68)=X67|(~v1_relat_1(X68)|~v5_relat_1(X68,X67)))&(k2_relset_1(X67,X68)!=X67|v2_funct_2(X68,X67)|(~v1_relat_1(X68)|~v5_relat_1(X68,X67)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_funct_2])])])).
cnf(c_0_77, negated_conjecture, (v2_funct_2(k12_group_23(esk1_0,X1,esk3_0),u1_struct_0(k1_group_7(esk1_0,esk3_0,X1)))|~m1_subset_1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_53]), c_0_54]), c_0_55]), c_0_41]), c_0_42]), c_0_43]), c_0_44])]), c_0_31])).
cnf(c_0_78, negated_conjecture, (k1_group_7(esk1_0,esk3_0,esk2_0)=k2_group_19(esk1_0,esk3_0,esk2_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_37]), c_0_67])).
cnf(c_0_79, negated_conjecture, (v1_relat_1(k12_card_3(k14_pralg_1(esk1_0,esk3_0),esk2_0))), 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_70]), c_0_71]), c_0_72])])).
cnf(c_0_80, negated_conjecture, (k12_card_3(k14_pralg_1(esk1_0,esk3_0),esk2_0)=k12_group_23(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_73, c_0_37])).
fof(c_0_81, plain, ![X60, X61, X62]:((v4_relat_1(X62,X60)|~m1_subset_1(X62,k1_zfmisc_1(k2_zfmisc_1(X60,X61))))&(v5_relat_1(X62,X61)|~m1_subset_1(X62,k1_zfmisc_1(k2_zfmisc_1(X60,X61))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_relset_1])])])).
cnf(c_0_82, negated_conjecture, (m1_subset_1(k12_group_23(esk1_0,X1,esk3_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(esk1_0,esk3_0)),u1_struct_0(k1_group_7(esk1_0,esk3_0,X1)))))|~m1_subset_1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_53]), c_0_54]), c_0_55]), c_0_41]), c_0_42]), c_0_43]), c_0_44])]), c_0_31])).
cnf(c_0_83, negated_conjecture, (v2_funct_1(k12_card_3(X1,X2))|~v1_partfun1(X1,esk1_0)|~v1_funct_1(X1)|~v4_relat_1(X1,esk1_0)|~v1_relat_1(X1)|~m1_subset_1(X2,esk1_0)), inference(spm,[status(thm)],[c_0_75, c_0_39])).
fof(c_0_84, plain, ![X1, X2, X3]:(((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>(((~v2_struct_0(k2_group_19(X1,X2,X3))&v2_group_1(k2_group_19(X1,X2,X3)))&v3_group_1(k2_group_19(X1,X2,X3)))&l3_algstr_0(k2_group_19(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[dt_k2_group_19])).
cnf(c_0_85, plain, (k2_relset_1(X2,X1)=X2|~v2_funct_2(X1,X2)|~v1_relat_1(X1)|~v5_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_86, negated_conjecture, (v2_funct_2(k12_group_23(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_37]), c_0_78])).
cnf(c_0_87, negated_conjecture, (v1_relat_1(k12_group_23(esk1_0,esk2_0,esk3_0))), inference(rw,[status(thm)],[c_0_79, c_0_80])).
cnf(c_0_88, plain, (v5_relat_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_89, negated_conjecture, (m1_subset_1(k12_group_23(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_7(esk1_0,esk3_0)),u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_37]), c_0_78])).
cnf(c_0_90, negated_conjecture, (v2_funct_1(k12_card_3(X1,esk2_0))|~v1_partfun1(X1,esk1_0)|~v1_funct_1(X1)|~v4_relat_1(X1,esk1_0)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_83, c_0_37])).
cnf(c_0_91, plain, (v1_funct_1(k12_group_23(X1,X2,X3))|v1_xboole_0(X1)|~m1_subset_1(X2,X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_group_7(X3)|~v2_group_7(X3,X1)|~v3_group_7(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_64])).
fof(c_0_92, plain, ![X74, X75, X76]:((((~v2_struct_0(k2_group_19(X74,X75,X76))|(v1_xboole_0(X74)|~v1_relat_1(X75)|~v4_relat_1(X75,X74)|~v1_funct_1(X75)|~v1_partfun1(X75,X74)|~v1_group_7(X75)|~v2_group_7(X75,X74)|~v3_group_7(X75,X74)|~m1_subset_1(X76,X74)))&(v2_group_1(k2_group_19(X74,X75,X76))|(v1_xboole_0(X74)|~v1_relat_1(X75)|~v4_relat_1(X75,X74)|~v1_funct_1(X75)|~v1_partfun1(X75,X74)|~v1_group_7(X75)|~v2_group_7(X75,X74)|~v3_group_7(X75,X74)|~m1_subset_1(X76,X74))))&(v3_group_1(k2_group_19(X74,X75,X76))|(v1_xboole_0(X74)|~v1_relat_1(X75)|~v4_relat_1(X75,X74)|~v1_funct_1(X75)|~v1_partfun1(X75,X74)|~v1_group_7(X75)|~v2_group_7(X75,X74)|~v3_group_7(X75,X74)|~m1_subset_1(X76,X74))))&(l3_algstr_0(k2_group_19(X74,X75,X76))|(v1_xboole_0(X74)|~v1_relat_1(X75)|~v4_relat_1(X75,X74)|~v1_funct_1(X75)|~v1_partfun1(X75,X74)|~v1_group_7(X75)|~v2_group_7(X75,X74)|~v3_group_7(X75,X74)|~m1_subset_1(X76,X74)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])])])).
fof(c_0_93, plain, ![X104, X105, X106]:(((k2_relset_1(X105,X106)=X105|~v3_funct_2(X106,X104,X105)|(~v1_funct_1(X106)|~v1_funct_2(X106,X104,X105)|~m1_subset_1(X106,k1_zfmisc_1(k2_zfmisc_1(X104,X105)))))&(v2_funct_1(X106)|~v3_funct_2(X106,X104,X105)|(~v1_funct_1(X106)|~v1_funct_2(X106,X104,X105)|~m1_subset_1(X106,k1_zfmisc_1(k2_zfmisc_1(X104,X105))))))&(k2_relset_1(X105,X106)!=X105|~v2_funct_1(X106)|v3_funct_2(X106,X104,X105)|(~v1_funct_1(X106)|~v1_funct_2(X106,X104,X105)|~m1_subset_1(X106,k1_zfmisc_1(k2_zfmisc_1(X104,X105)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t60_group_6])])])).
cnf(c_0_94, negated_conjecture, (k2_relset_1(u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)),k12_group_23(esk1_0,esk2_0,esk3_0))=u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0))|~v5_relat_1(k12_group_23(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_87])])).
cnf(c_0_95, negated_conjecture, (v5_relat_1(k12_group_23(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(spm,[status(thm)],[c_0_88, c_0_89])).
cnf(c_0_96, negated_conjecture, (v2_funct_1(k12_card_3(k14_pralg_1(esk1_0,esk3_0),esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_69]), c_0_70]), c_0_71]), c_0_72])])).
cnf(c_0_97, negated_conjecture, (v1_funct_1(k12_group_23(esk1_0,X1,esk3_0))|~m1_subset_1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_53]), c_0_54]), c_0_55]), c_0_41]), c_0_42]), c_0_43]), c_0_44])]), c_0_31])).
cnf(c_0_98, plain, (v1_funct_2(k12_group_23(X1,X2,X3),u1_struct_0(k2_group_7(X1,X3)),u1_struct_0(k1_group_7(X1,X3,X2)))|v1_xboole_0(X1)|~m1_subset_1(X2,X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_group_7(X3)|~v2_group_7(X3,X1)|~v3_group_7(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_64])).
fof(c_0_99, 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_100, plain, (v1_group_6(k12_group_23(X1,X2,X3),k2_group_7(X1,X3),k1_group_7(X1,X3,X2))|v1_xboole_0(X1)|~m1_subset_1(X2,X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_group_7(X3)|~v2_group_7(X3,X1)|~v3_group_7(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_64])).
cnf(c_0_101, plain, (l3_algstr_0(k2_group_19(X1,X2,X3))|v1_xboole_0(X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_92])).
fof(c_0_102, plain, ![X77, X78]:((v15_algstr_0(k2_group_7(X77,X78))|(~v1_relat_1(X78)|~v4_relat_1(X78,X77)|~v1_funct_1(X78)|~v1_partfun1(X78,X77)|~v1_group_7(X78)))&(l3_algstr_0(k2_group_7(X77,X78))|(~v1_relat_1(X78)|~v4_relat_1(X78,X77)|~v1_funct_1(X78)|~v1_partfun1(X78,X77)|~v1_group_7(X78)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_group_7])])])).
cnf(c_0_103, plain, (v3_group_1(k2_group_19(X1,X2,X3))|v1_xboole_0(X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_92])).
fof(c_0_104, plain, ![X86, X87]:((v15_algstr_0(k2_group_7(X86,X87))|(~v1_relat_1(X87)|~v4_relat_1(X87,X86)|~v1_funct_1(X87)|~v1_partfun1(X87,X86)|~v1_group_7(X87)|~v3_group_7(X87,X86)))&(v3_group_1(k2_group_7(X86,X87))|(~v1_relat_1(X87)|~v4_relat_1(X87,X86)|~v1_funct_1(X87)|~v1_partfun1(X87,X86)|~v1_group_7(X87)|~v3_group_7(X87,X86)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_group_7])])])).
cnf(c_0_105, plain, (v2_group_1(k2_group_19(X1,X2,X3))|v1_xboole_0(X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_92])).
fof(c_0_106, plain, ![X81, X82]:((v15_algstr_0(k2_group_7(X81,X82))|(~v1_relat_1(X82)|~v4_relat_1(X82,X81)|~v1_funct_1(X82)|~v1_partfun1(X82,X81)|~v1_group_7(X82)|~v2_group_7(X82,X81)))&(v2_group_1(k2_group_7(X81,X82))|(~v1_relat_1(X82)|~v4_relat_1(X82,X81)|~v1_funct_1(X82)|~v1_partfun1(X82,X81)|~v1_group_7(X82)|~v2_group_7(X82,X81)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_group_7])])])).
cnf(c_0_107, plain, (v3_funct_2(X2,X3,X1)|k2_relset_1(X1,X2)!=X1|~v2_funct_1(X2)|~v1_funct_1(X2)|~v1_funct_2(X2,X3,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_93])).
cnf(c_0_108, negated_conjecture, (k2_relset_1(u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)),k12_group_23(esk1_0,esk2_0,esk3_0))=u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94, c_0_95])])).
cnf(c_0_109, negated_conjecture, (v2_funct_1(k12_group_23(esk1_0,esk2_0,esk3_0))), inference(rw,[status(thm)],[c_0_96, c_0_80])).
cnf(c_0_110, negated_conjecture, (v1_funct_1(k12_group_23(esk1_0,esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_97, c_0_37])).
cnf(c_0_111, negated_conjecture, (v1_funct_2(k12_group_23(esk1_0,X1,esk3_0),u1_struct_0(k2_group_7(esk1_0,esk3_0)),u1_struct_0(k1_group_7(esk1_0,esk3_0,X1)))|~m1_subset_1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_53]), c_0_54]), c_0_55]), c_0_41]), c_0_42]), c_0_43]), c_0_44])]), c_0_31])).
fof(c_0_112, 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_113, plain, ![X63, X64, X66]:((((((v1_funct_1(esk4_2(X63,X64))|~r1_group_6(X63,X64)|(v2_struct_0(X64)|~v2_group_1(X64)|~v3_group_1(X64)|~l3_algstr_0(X64))|(v2_struct_0(X63)|~v2_group_1(X63)|~v3_group_1(X63)|~l3_algstr_0(X63)))&(v1_funct_2(esk4_2(X63,X64),u1_struct_0(X63),u1_struct_0(X64))|~r1_group_6(X63,X64)|(v2_struct_0(X64)|~v2_group_1(X64)|~v3_group_1(X64)|~l3_algstr_0(X64))|(v2_struct_0(X63)|~v2_group_1(X63)|~v3_group_1(X63)|~l3_algstr_0(X63))))&(v1_group_6(esk4_2(X63,X64),X63,X64)|~r1_group_6(X63,X64)|(v2_struct_0(X64)|~v2_group_1(X64)|~v3_group_1(X64)|~l3_algstr_0(X64))|(v2_struct_0(X63)|~v2_group_1(X63)|~v3_group_1(X63)|~l3_algstr_0(X63))))&(m1_subset_1(esk4_2(X63,X64),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X63),u1_struct_0(X64))))|~r1_group_6(X63,X64)|(v2_struct_0(X64)|~v2_group_1(X64)|~v3_group_1(X64)|~l3_algstr_0(X64))|(v2_struct_0(X63)|~v2_group_1(X63)|~v3_group_1(X63)|~l3_algstr_0(X63))))&(v3_funct_2(esk4_2(X63,X64),u1_struct_0(X63),u1_struct_0(X64))|~r1_group_6(X63,X64)|(v2_struct_0(X64)|~v2_group_1(X64)|~v3_group_1(X64)|~l3_algstr_0(X64))|(v2_struct_0(X63)|~v2_group_1(X63)|~v3_group_1(X63)|~l3_algstr_0(X63))))&(~v1_funct_1(X66)|~v1_funct_2(X66,u1_struct_0(X63),u1_struct_0(X64))|~v1_group_6(X66,X63,X64)|~m1_subset_1(X66,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X63),u1_struct_0(X64))))|~v3_funct_2(X66,u1_struct_0(X63),u1_struct_0(X64))|r1_group_6(X63,X64)|(v2_struct_0(X64)|~v2_group_1(X64)|~v3_group_1(X64)|~l3_algstr_0(X64))|(v2_struct_0(X63)|~v2_group_1(X63)|~v3_group_1(X63)|~l3_algstr_0(X63)))), 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_99])])])])])).
cnf(c_0_114, negated_conjecture, (v1_group_6(k12_group_23(esk1_0,X1,esk3_0),k2_group_7(esk1_0,esk3_0),k1_group_7(esk1_0,esk3_0,X1))|~m1_subset_1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_53]), c_0_54]), c_0_55]), c_0_41]), c_0_42]), c_0_43]), c_0_44])]), c_0_31])).
cnf(c_0_115, negated_conjecture, (l3_algstr_0(k2_group_19(esk1_0,esk3_0,X1))|~m1_subset_1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_53]), c_0_54]), c_0_55]), c_0_41]), c_0_42]), c_0_43]), c_0_44])]), c_0_31])).
cnf(c_0_116, plain, (l3_algstr_0(k2_group_7(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)), inference(split_conjunct,[status(thm)],[c_0_102])).
cnf(c_0_117, negated_conjecture, (v3_group_1(k2_group_19(esk1_0,esk3_0,X1))|~m1_subset_1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_53]), c_0_54]), c_0_55]), c_0_41]), c_0_42]), c_0_43]), c_0_44])]), c_0_31])).
cnf(c_0_118, plain, (v3_group_1(k2_group_7(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_104])).
cnf(c_0_119, negated_conjecture, (v2_group_1(k2_group_19(esk1_0,esk3_0,X1))|~m1_subset_1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_53]), c_0_54]), c_0_55]), c_0_41]), c_0_42]), c_0_43]), c_0_44])]), c_0_31])).
cnf(c_0_120, plain, (v2_group_1(k2_group_7(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_106])).
cnf(c_0_121, negated_conjecture, (v3_funct_2(k12_group_23(esk1_0,esk2_0,esk3_0),X1,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))|~v1_funct_2(k12_group_23(esk1_0,esk2_0,esk3_0),X1,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))|~m1_subset_1(k12_group_23(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(X1,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_108]), c_0_109]), c_0_110])])).
cnf(c_0_122, negated_conjecture, (v1_funct_2(k12_group_23(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_group_7(esk1_0,esk3_0)),u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_37]), c_0_78])).
fof(c_0_123, 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_124, plain, ![X94, X95]:((~r2_group_6(X94,X95)|r1_group_6(X94,X95)|(v2_struct_0(X94)|~v2_group_1(X94)|~v3_group_1(X94)|~l3_algstr_0(X94)|v2_struct_0(X95)|~v2_group_1(X95)|~v3_group_1(X95)|~l3_algstr_0(X95)))&(~r1_group_6(X94,X95)|r2_group_6(X94,X95)|(v2_struct_0(X94)|~v2_group_1(X94)|~v3_group_1(X94)|~l3_algstr_0(X94)|v2_struct_0(X95)|~v2_group_1(X95)|~v3_group_1(X95)|~l3_algstr_0(X95)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])])).
cnf(c_0_125, 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_113])).
cnf(c_0_126, negated_conjecture, (v1_group_6(k12_group_23(esk1_0,esk2_0,esk3_0),k2_group_7(esk1_0,esk3_0),k2_group_19(esk1_0,esk3_0,esk2_0))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_37]), c_0_78])).
cnf(c_0_127, negated_conjecture, (l3_algstr_0(k2_group_19(esk1_0,esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_115, c_0_37])).
cnf(c_0_128, negated_conjecture, (l3_algstr_0(k2_group_7(esk1_0,esk3_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_116, c_0_41]), c_0_55]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_129, negated_conjecture, (v3_group_1(k2_group_19(esk1_0,esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_117, c_0_37])).
cnf(c_0_130, negated_conjecture, (v3_group_1(k2_group_7(esk1_0,esk3_0))), 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_118, c_0_53]), c_0_55]), c_0_41]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_131, negated_conjecture, (v2_group_1(k2_group_19(esk1_0,esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_119, c_0_37])).
cnf(c_0_132, negated_conjecture, (v2_group_1(k2_group_7(esk1_0,esk3_0))), 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_120, c_0_54]), c_0_55]), c_0_41]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_133, negated_conjecture, (v3_funct_2(k12_group_23(esk1_0,esk2_0,esk3_0),u1_struct_0(k2_group_7(esk1_0,esk3_0)),u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_122]), c_0_89])])).
fof(c_0_134, plain, ![X96, X97]:(v2_struct_0(X96)|~v2_group_1(X96)|~v3_group_1(X96)|~l3_algstr_0(X96)|v2_struct_0(X97)|~v2_group_1(X97)|~v3_group_1(X97)|~l3_algstr_0(X97)|(~r2_group_6(X96,X97)|r2_group_6(X97,X96))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])])).
cnf(c_0_135, 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_124])).
cnf(c_0_136, negated_conjecture, (r1_group_6(k2_group_7(esk1_0,esk3_0),k2_group_19(esk1_0,esk3_0,esk2_0))|v2_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0))|v2_struct_0(k2_group_7(esk1_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_125, c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_110])]), c_0_133]), c_0_122]), c_0_89])])).
fof(c_0_137, plain, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))=>((~v2_struct_0(k2_group_7(X1,X2))&v15_algstr_0(k2_group_7(X1,X2)))&v1_monoid_0(k2_group_7(X1,X2)))), inference(fof_simplification,[status(thm)],[fc2_group_7])).
cnf(c_0_138, plain, (v1_xboole_0(X1)|~v2_struct_0(k2_group_19(X1,X2,X3))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_92])).
cnf(c_0_139, 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_134])).
cnf(c_0_140, negated_conjecture, (v2_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0))|v2_struct_0(k2_group_7(esk1_0,esk3_0))|r2_group_6(k2_group_7(esk1_0,esk3_0),k2_group_19(esk1_0,esk3_0,esk2_0))), 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_135, c_0_136]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132])])).
cnf(c_0_141, negated_conjecture, (~r2_group_6(k2_group_19(esk1_0,esk3_0,esk2_0),k2_group_7(esk1_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_142, plain, ![X79, X80]:(((~v2_struct_0(k2_group_7(X79,X80))|(~v1_relat_1(X80)|~v4_relat_1(X80,X79)|~v1_funct_1(X80)|~v1_partfun1(X80,X79)|~v1_group_7(X80)))&(v15_algstr_0(k2_group_7(X79,X80))|(~v1_relat_1(X80)|~v4_relat_1(X80,X79)|~v1_funct_1(X80)|~v1_partfun1(X80,X79)|~v1_group_7(X80))))&(v1_monoid_0(k2_group_7(X79,X80))|(~v1_relat_1(X80)|~v4_relat_1(X80,X79)|~v1_funct_1(X80)|~v1_partfun1(X80,X79)|~v1_group_7(X80)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_137])])])).
cnf(c_0_143, negated_conjecture, (~v2_struct_0(k2_group_19(esk1_0,esk3_0,X1))|~m1_subset_1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_53]), c_0_54]), c_0_55]), c_0_41]), c_0_42]), c_0_43]), c_0_44])]), c_0_31])).
cnf(c_0_144, negated_conjecture, (v2_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0))|v2_struct_0(k2_group_7(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_139, c_0_140]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132])]), c_0_141])).
cnf(c_0_145, plain, (~v2_struct_0(k2_group_7(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)), inference(split_conjunct,[status(thm)],[c_0_142])).
cnf(c_0_146, negated_conjecture, (v2_struct_0(k2_group_7(esk1_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143, c_0_144]), c_0_37])])).
cnf(c_0_147, negated_conjecture, ($false), 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_145, c_0_146]), c_0_55]), c_0_41]), c_0_42]), c_0_43]), c_0_44])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 148
# Proof object clause steps            : 94
# Proof object formula steps           : 54
# Proof object conjectures             : 67
# Proof object clause conjectures      : 64
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 41
# Proof object initial formulas used   : 21
# Proof object generating inferences   : 50
# Proof object simplifying inferences  : 203
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 21
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 59
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 57
# Processed clauses                    : 185
# ...of these trivial                  : 0
# ...subsumed                          : 3
# ...remaining for further processing  : 182
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 10
# Generated clauses                    : 81
# ...of the previous two non-trivial   : 81
# Contextual simplify-reflections      : 0
# Paramodulations                      : 81
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 116
#    Positive orientable unit clauses  : 40
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 74
# Current number of unprocessed clauses: 7
# ...number of literals in the above   : 25
# Current number of archived formulas  : 0
# Current number of archived clauses   : 66
# Clause-clause subsumption calls (NU) : 3660
# Rec. Clause-clause subsumption calls : 191
# Non-unit clause-clause subsumptions  : 5
# Unit Clause-clause subsumption calls : 76
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 11
# BW rewrite match successes           : 8
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 11855

# -------------------------------------------------
# User time                : 0.043 s
# System time              : 0.004 s
# Total time               : 0.047 s
# Maximum resident set size: 3396 pages
