# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.029 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('gr_free0/gr_free0__t36_gr_free0', t1_subset)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('gr_free0/gr_free0__t36_gr_free0', redefinition_r2_tarski)).
fof(d5_rewrite1, axiom, ![X1]:(v1_relat_1(X1)=>![X2]:(r3_rewrite1(X1,X2)<=>![X3]:~(r2_hidden(k4_tarski(X2,X3),X1)))), file('gr_free0/gr_free0__t36_gr_free0', d5_rewrite1)).
fof(cc8_funct_1, axiom, ![X1]:(v4_funct_1(X1)=>![X2]:(m1_subset_1(X2,X1)=>(v1_relat_1(X2)&v1_funct_1(X2)))), file('gr_free0/gr_free0__t36_gr_free0', cc8_funct_1)).
fof(t15_relat_1, axiom, ![X1, X2, X3]:(v1_relat_1(X3)=>(r2_hidden(k4_tarski(X1,X2),X3)=>(r2_hidden(X1,k1_relat_1(X3))&r2_hidden(X2,k1_relat_1(X3))))), file('gr_free0/gr_free0__t36_gr_free0', t15_relat_1)).
fof(t29_gr_free0, axiom, ![X1]:(~(v1_xboole_0(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))=>((r1_tarski(k1_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),k3_finseq_2(k1_gr_free0(X2)))&k2_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2)))&k1_relat_1(k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2))))), file('gr_free0/gr_free0__t36_gr_free0', t29_gr_free0)).
fof(redefinition_k3_finseq_2, axiom, ![X1]:k3_finseq_2(X1)=k13_finseq_1(X1), file('gr_free0/gr_free0__t36_gr_free0', redefinition_k3_finseq_2)).
fof(cc1_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>v1_relat_1(X3)), file('gr_free0/gr_free0__t36_gr_free0', cc1_relset_1)).
fof(dt_k2_gr_free0, 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))=>m1_subset_1(k2_gr_free0(X1,X2),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))))))), file('gr_free0/gr_free0__t36_gr_free0', dt_k2_gr_free0)).
fof(fc3_nat_1, axiom, ![X1, X2]:(((v7_ordinal1(X1)&v7_ordinal1(X2))&~(v8_ordinal1(X2)))=>~(v8_ordinal1(k2_xcmplx_0(X1,X2)))), file('gr_free0/gr_free0__t36_gr_free0', fc3_nat_1)).
fof(cc6_nat_1, axiom, ![X1]:(~(v8_ordinal1(X1))=>~(v1_xboole_0(X1))), file('gr_free0/gr_free0__t36_gr_free0', cc6_nat_1)).
fof(t34_gr_free0, axiom, ![X1]:(~(v1_xboole_0(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))=>![X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v1_finseq_1(X3))=>![X4]:(((v1_relat_1(X4)&v1_funct_1(X4))&v1_finseq_1(X4))=>(r2_hidden(k4_tarski(X3,X4),k2_gr_free0(X1,X2))=>k3_finseq_1(X3)=k2_xcmplx_0(k3_finseq_1(X4),np__1)))))), file('gr_free0/gr_free0__t36_gr_free0', t34_gr_free0)).
fof(fc31_finseq_1, axiom, ![X1]:v4_funct_1(k13_finseq_1(X1)), file('gr_free0/gr_free0__t36_gr_free0', fc31_finseq_1)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('gr_free0/gr_free0__t36_gr_free0', cc4_nat_1)).
fof(d11_finseq_1, axiom, ![X1, X2]:(X2=k13_finseq_1(X1)<=>![X3]:(r2_hidden(X3,X2)<=>m2_finseq_1(X3,X1))), file('gr_free0/gr_free0__t36_gr_free0', d11_finseq_1)).
fof(t36_gr_free0, conjecture, ![X1]:(~(v1_xboole_0(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))=>r3_rewrite1(k2_gr_free0(X1,X2),k1_xboole_0))), file('gr_free0/gr_free0__t36_gr_free0', t36_gr_free0)).
fof(cc11_ordinal1, axiom, ![X1]:(v8_ordinal1(X1)=>v7_ordinal1(X1)), file('gr_free0/gr_free0__t36_gr_free0', cc11_ordinal1)).
fof(dt_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)=>((v1_funct_1(X2)&v1_finseq_1(X2))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X1))))), file('gr_free0/gr_free0__t36_gr_free0', dt_m2_finseq_1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('gr_free0/gr_free0__t36_gr_free0', spc1_numerals)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('gr_free0/gr_free0__t36_gr_free0', cc8_ordinal1)).
fof(dt_k3_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>m1_subset_1(k3_finseq_1(X1),k4_ordinal1)), file('gr_free0/gr_free0__t36_gr_free0', dt_k3_finseq_1)).
fof(rd1_card_1, axiom, ![X1]:(v1_card_1(X1)=>k1_card_1(X1)=X1), file('gr_free0/gr_free0__t36_gr_free0', rd1_card_1)).
fof(cc2_card_1, axiom, ![X1]:(v1_xboole_0(X1)=>v1_card_1(X1)), file('gr_free0/gr_free0__t36_gr_free0', cc2_card_1)).
fof(redefinition_k3_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>k3_finseq_1(X1)=k1_card_1(X1)), file('gr_free0/gr_free0__t36_gr_free0', redefinition_k3_finseq_1)).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0), file('gr_free0/gr_free0__t36_gr_free0', fc1_xboole_0)).
fof(c_0_25, plain, ![X87, X88]:(~r2_tarski(X87,X88)|m1_subset_1(X87,X88)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
fof(c_0_26, plain, ![X82, X83]:((~r2_tarski(X82,X83)|r2_hidden(X82,X83))&(~r2_hidden(X82,X83)|r2_tarski(X82,X83))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_27, plain, ![X1]:(v1_relat_1(X1)=>![X2]:(r3_rewrite1(X1,X2)<=>![X3]:~r2_hidden(k4_tarski(X2,X3),X1))), inference(fof_simplification,[status(thm)],[d5_rewrite1])).
fof(c_0_28, plain, ![X56, X57]:((v1_relat_1(X57)|~m1_subset_1(X57,X56)|~v4_funct_1(X56))&(v1_funct_1(X57)|~m1_subset_1(X57,X56)|~v4_funct_1(X56))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_funct_1])])])])).
cnf(c_0_29, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_30, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
fof(c_0_31, plain, ![X84, X85, X86]:((r2_hidden(X84,k1_relat_1(X86))|~r2_hidden(k4_tarski(X84,X85),X86)|~v1_relat_1(X86))&(r2_hidden(X85,k1_relat_1(X86))|~r2_hidden(k4_tarski(X84,X85),X86)|~v1_relat_1(X86))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t15_relat_1])])])).
fof(c_0_32, plain, ![X66, X67, X68, X69]:((~r3_rewrite1(X66,X67)|~r2_hidden(k4_tarski(X67,X68),X66)|~v1_relat_1(X66))&(r2_hidden(k4_tarski(X69,esk4_2(X66,X69)),X66)|r3_rewrite1(X66,X69)|~v1_relat_1(X66))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])])])).
fof(c_0_33, plain, ![X1]:(~v1_xboole_0(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))=>((r1_tarski(k1_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),k3_finseq_2(k1_gr_free0(X2)))&k2_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2)))&k1_relat_1(k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2))))), inference(fof_simplification,[status(thm)],[t29_gr_free0])).
cnf(c_0_34, plain, (v1_relat_1(X1)|~m1_subset_1(X1,X2)|~v4_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_35, plain, (m1_subset_1(X1,X2)|~r2_hidden(X1,X2)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_36, plain, (r2_hidden(X1,k1_relat_1(X2))|~r2_hidden(k4_tarski(X1,X3),X2)|~v1_relat_1(X2)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_37, plain, (r2_hidden(k4_tarski(X1,esk4_2(X2,X1)),X2)|r3_rewrite1(X2,X1)|~v1_relat_1(X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
fof(c_0_38, plain, ![X89, X90]:(((r1_tarski(k1_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X90))),k2_gr_free0(X89,X90)),k3_finseq_2(k1_gr_free0(X90)))|(~v1_relat_1(X90)|~v4_relat_1(X90,X89)|~v1_funct_1(X90)|~v1_partfun1(X90,X89)|~v1_group_7(X90)|~v2_group_7(X90,X89))|v1_xboole_0(X89))&(k2_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X90))),k2_gr_free0(X89,X90))=k3_finseq_2(k1_gr_free0(X90))|(~v1_relat_1(X90)|~v4_relat_1(X90,X89)|~v1_funct_1(X90)|~v1_partfun1(X90,X89)|~v1_group_7(X90)|~v2_group_7(X90,X89))|v1_xboole_0(X89)))&(k1_relat_1(k2_gr_free0(X89,X90))=k3_finseq_2(k1_gr_free0(X90))|(~v1_relat_1(X90)|~v4_relat_1(X90,X89)|~v1_funct_1(X90)|~v1_partfun1(X90,X89)|~v1_group_7(X90)|~v2_group_7(X90,X89))|v1_xboole_0(X89))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])).
fof(c_0_39, plain, ![X81]:k3_finseq_2(X81)=k13_finseq_1(X81), inference(variable_rename,[status(thm)],[redefinition_k3_finseq_2])).
fof(c_0_40, plain, ![X50, X51, X52]:(~m1_subset_1(X52,k1_zfmisc_1(k2_zfmisc_1(X50,X51)))|v1_relat_1(X52)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
fof(c_0_41, plain, ![X71, X72]:(~v1_relat_1(X72)|~v4_relat_1(X72,X71)|~v1_funct_1(X72)|~v1_partfun1(X72,X71)|~v1_group_7(X72)|~v2_group_7(X72,X71)|m1_subset_1(k2_gr_free0(X71,X72),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X72))),u1_struct_0(k10_monoid_0(k1_gr_free0(X72))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_gr_free0])])).
cnf(c_0_42, plain, (v1_funct_1(X1)|~m1_subset_1(X1,X2)|~v4_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_43, plain, ![X1, X2]:(((v7_ordinal1(X1)&v7_ordinal1(X2))&~v8_ordinal1(X2))=>~v8_ordinal1(k2_xcmplx_0(X1,X2))), inference(fof_simplification,[status(thm)],[fc3_nat_1])).
fof(c_0_44, plain, ![X1]:(~v8_ordinal1(X1)=>~v1_xboole_0(X1)), inference(fof_simplification,[status(thm)],[cc6_nat_1])).
fof(c_0_45, plain, ![X1]:(~v1_xboole_0(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))=>![X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v1_finseq_1(X3))=>![X4]:(((v1_relat_1(X4)&v1_funct_1(X4))&v1_finseq_1(X4))=>(r2_hidden(k4_tarski(X3,X4),k2_gr_free0(X1,X2))=>k3_finseq_1(X3)=k2_xcmplx_0(k3_finseq_1(X4),np__1)))))), inference(fof_simplification,[status(thm)],[t34_gr_free0])).
cnf(c_0_46, plain, (v1_relat_1(X1)|~r2_hidden(X1,X2)|~v4_funct_1(X2)), inference(spm,[status(thm)],[c_0_34, c_0_35])).
cnf(c_0_47, plain, (r2_hidden(X1,k1_relat_1(X2))|r3_rewrite1(X2,X1)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_48, plain, (k1_relat_1(k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2))|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)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_49, plain, (k3_finseq_2(X1)=k13_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_39])).
fof(c_0_50, plain, ![X76]:v4_funct_1(k13_finseq_1(X76)), inference(variable_rename,[status(thm)],[fc31_finseq_1])).
cnf(c_0_51, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_52, plain, (m1_subset_1(k2_gr_free0(X2,X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),u1_struct_0(k10_monoid_0(k1_gr_free0(X1))))))|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v1_group_7(X1)|~v2_group_7(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_53, plain, (v1_funct_1(X1)|~r2_hidden(X1,X2)|~v4_funct_1(X2)), inference(spm,[status(thm)],[c_0_42, c_0_35])).
fof(c_0_54, plain, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_nat_1])).
fof(c_0_55, plain, ![X59, X60, X61, X62, X63, X64]:(((~r2_hidden(X61,X60)|m2_finseq_1(X61,X59)|X60!=k13_finseq_1(X59))&(~m2_finseq_1(X62,X59)|r2_hidden(X62,X60)|X60!=k13_finseq_1(X59)))&((~r2_hidden(esk3_2(X63,X64),X64)|~m2_finseq_1(esk3_2(X63,X64),X63)|X64=k13_finseq_1(X63))&(r2_hidden(esk3_2(X63,X64),X64)|m2_finseq_1(esk3_2(X63,X64),X63)|X64=k13_finseq_1(X63)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_finseq_1])])])])])])).
cnf(c_0_56, plain, (r2_hidden(X1,k1_relat_1(X2))|~r2_hidden(k4_tarski(X3,X1),X2)|~v1_relat_1(X2)), inference(split_conjunct,[status(thm)],[c_0_31])).
fof(c_0_57, negated_conjecture, ~(![X1]:(~v1_xboole_0(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))=>r3_rewrite1(k2_gr_free0(X1,X2),k1_xboole_0)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t36_gr_free0])])).
fof(c_0_58, plain, ![X77, X78]:(~v7_ordinal1(X77)|~v7_ordinal1(X78)|v8_ordinal1(X78)|~v8_ordinal1(k2_xcmplx_0(X77,X78))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])).
fof(c_0_59, plain, ![X55]:(v8_ordinal1(X55)|~v1_xboole_0(X55)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])).
fof(c_0_60, plain, ![X91, X92, X93, X94]:(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)|(~v1_relat_1(X93)|~v1_funct_1(X93)|~v1_finseq_1(X93)|(~v1_relat_1(X94)|~v1_funct_1(X94)|~v1_finseq_1(X94)|(~r2_hidden(k4_tarski(X93,X94),k2_gr_free0(X91,X92))|k3_finseq_1(X93)=k2_xcmplx_0(k3_finseq_1(X94),np__1)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])).
cnf(c_0_61, plain, (r3_rewrite1(X1,X2)|v1_relat_1(X2)|~v4_funct_1(k1_relat_1(X1))|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_46, c_0_47])).
cnf(c_0_62, plain, (k1_relat_1(k2_gr_free0(X1,X2))=k13_finseq_1(k1_gr_free0(X2))|v1_xboole_0(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_group_7(X2)|~v4_relat_1(X2,X1)|~v1_partfun1(X2,X1)|~v2_group_7(X2,X1)), inference(rw,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_63, plain, (v4_funct_1(k13_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_64, plain, (v1_relat_1(k2_gr_free0(X1,X2))|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_51, c_0_52])).
cnf(c_0_65, plain, (r3_rewrite1(X1,X2)|v1_funct_1(X2)|~v4_funct_1(k1_relat_1(X1))|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_53, c_0_47])).
fof(c_0_66, plain, ![X54]:((v7_ordinal1(X54)|(~v7_ordinal1(X54)|~v8_ordinal1(X54)))&(~v2_xxreal_0(X54)|(~v7_ordinal1(X54)|~v8_ordinal1(X54)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])).
fof(c_0_67, plain, ![X49]:(~v8_ordinal1(X49)|v7_ordinal1(X49)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc11_ordinal1])])).
fof(c_0_68, plain, ![X74, X75]:(((v1_funct_1(X75)|~m2_finseq_1(X75,X74))&(v1_finseq_1(X75)|~m2_finseq_1(X75,X74)))&(m1_subset_1(X75,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X74)))|~m2_finseq_1(X75,X74))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_finseq_1])])])).
cnf(c_0_69, plain, (m2_finseq_1(X1,X3)|~r2_hidden(X1,X2)|X2!=k13_finseq_1(X3)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_70, plain, (r2_hidden(esk4_2(X1,X2),k1_relat_1(X1))|r3_rewrite1(X1,X2)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_56, c_0_37])).
fof(c_0_71, negated_conjecture, (~v1_xboole_0(esk1_0)&((((((v1_relat_1(esk2_0)&v4_relat_1(esk2_0,esk1_0))&v1_funct_1(esk2_0))&v1_partfun1(esk2_0,esk1_0))&v1_group_7(esk2_0))&v2_group_7(esk2_0,esk1_0))&~r3_rewrite1(k2_gr_free0(esk1_0,esk2_0),k1_xboole_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])).
cnf(c_0_72, plain, (v8_ordinal1(X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)|~v8_ordinal1(k2_xcmplx_0(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_73, plain, (v8_ordinal1(X1)|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_74, plain, (v1_xboole_0(X1)|k3_finseq_1(X3)=k2_xcmplx_0(k3_finseq_1(X4),np__1)|~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)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v1_finseq_1(X3)|~v1_relat_1(X4)|~v1_funct_1(X4)|~v1_finseq_1(X4)|~r2_hidden(k4_tarski(X3,X4),k2_gr_free0(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_75, plain, (r3_rewrite1(k2_gr_free0(X1,X2),X3)|v1_relat_1(X3)|v1_xboole_0(X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_63])]), c_0_64])).
cnf(c_0_76, plain, (r3_rewrite1(k2_gr_free0(X1,X2),X3)|v1_funct_1(X3)|v1_xboole_0(X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_62]), c_0_63])]), c_0_64])).
cnf(c_0_77, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_78, plain, (v2_xxreal_0(np__1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_79, plain, (v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_80, plain, (v1_finseq_1(X1)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_68])).
cnf(c_0_81, plain, (m2_finseq_1(esk4_2(X1,X2),X3)|r3_rewrite1(X1,X2)|k1_relat_1(X1)!=k13_finseq_1(X3)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_69, c_0_70])).
cnf(c_0_82, negated_conjecture, (~r3_rewrite1(k2_gr_free0(esk1_0,esk2_0),k1_xboole_0)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_83, plain, (r2_hidden(X1,k13_finseq_1(k1_gr_free0(X2)))|r3_rewrite1(k2_gr_free0(X3,X2),X1)|v1_xboole_0(X3)|~v2_group_7(X2,X3)|~v1_group_7(X2)|~v1_partfun1(X2,X3)|~v1_funct_1(X2)|~v4_relat_1(X2,X3)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_62]), c_0_64])).
cnf(c_0_84, negated_conjecture, (v2_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_85, negated_conjecture, (v1_group_7(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_86, negated_conjecture, (v1_partfun1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_87, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_88, negated_conjecture, (v4_relat_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_89, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_90, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_91, plain, (v8_ordinal1(X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)|~v1_xboole_0(k2_xcmplx_0(X2,X1))), inference(spm,[status(thm)],[c_0_72, c_0_73])).
cnf(c_0_92, plain, (k2_xcmplx_0(k3_finseq_1(esk4_2(k2_gr_free0(X1,X2),X3)),np__1)=k3_finseq_1(X3)|r3_rewrite1(k2_gr_free0(X1,X2),X3)|v1_xboole_0(X1)|~v1_finseq_1(esk4_2(k2_gr_free0(X1,X2),X3))|~v1_finseq_1(X3)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(esk4_2(k2_gr_free0(X1,X2),X3))|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(esk4_2(k2_gr_free0(X1,X2),X3))|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_37]), c_0_75]), c_0_64]), c_0_76])).
cnf(c_0_93, plain, (~v8_ordinal1(np__1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_79])).
fof(c_0_94, plain, ![X58]:(~m1_subset_1(X58,k4_ordinal1)|v7_ordinal1(X58)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_95, plain, ![X73]:(~v1_relat_1(X73)|~v1_funct_1(X73)|~v1_finseq_1(X73)|m1_subset_1(k3_finseq_1(X73),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_finseq_1])])).
cnf(c_0_96, plain, (v1_finseq_1(esk4_2(X1,X2))|r3_rewrite1(X1,X2)|k1_relat_1(X1)!=k13_finseq_1(X3)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_80, c_0_81])).
cnf(c_0_97, negated_conjecture, (r2_hidden(k1_xboole_0,k13_finseq_1(k1_gr_free0(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(spm,[status(thm)],[c_0_82, c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89])]), c_0_90])).
cnf(c_0_98, plain, (r3_rewrite1(k2_gr_free0(X1,X2),X3)|v1_xboole_0(X1)|~v1_finseq_1(esk4_2(k2_gr_free0(X1,X2),X3))|~v1_finseq_1(X3)|~v7_ordinal1(k3_finseq_1(esk4_2(k2_gr_free0(X1,X2),X3)))|~v7_ordinal1(np__1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(esk4_2(k2_gr_free0(X1,X2),X3))|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(esk4_2(k2_gr_free0(X1,X2),X3))|~v1_relat_1(X2)|~v1_xboole_0(k3_finseq_1(X3))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_93])).
cnf(c_0_99, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_100, plain, (m1_subset_1(k3_finseq_1(X1),k4_ordinal1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_95])).
cnf(c_0_101, plain, (v1_finseq_1(esk4_2(k2_gr_free0(X1,X2),X3))|r3_rewrite1(k2_gr_free0(X1,X2),X3)|v1_xboole_0(X1)|k13_finseq_1(k1_gr_free0(X2))!=k13_finseq_1(X4)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_62]), c_0_64])).
cnf(c_0_102, plain, (r3_rewrite1(X1,X2)|v1_relat_1(esk4_2(X1,X2))|~v4_funct_1(k1_relat_1(X1))|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_46, c_0_70])).
cnf(c_0_103, plain, (r3_rewrite1(X1,X2)|v1_funct_1(esk4_2(X1,X2))|~v4_funct_1(k1_relat_1(X1))|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_53, c_0_70])).
cnf(c_0_104, negated_conjecture, (m2_finseq_1(k1_xboole_0,X1)|k13_finseq_1(k1_gr_free0(esk2_0))!=k13_finseq_1(X1)), inference(spm,[status(thm)],[c_0_69, c_0_97])).
fof(c_0_105, plain, ![X79]:(~v1_card_1(X79)|k1_card_1(X79)=X79), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd1_card_1])])).
fof(c_0_106, plain, ![X53]:(~v1_xboole_0(X53)|v1_card_1(X53)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_card_1])])).
cnf(c_0_107, plain, (r3_rewrite1(k2_gr_free0(X1,X2),X3)|v1_xboole_0(X1)|~v1_finseq_1(esk4_2(k2_gr_free0(X1,X2),X3))|~v1_finseq_1(X3)|~v7_ordinal1(np__1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(esk4_2(k2_gr_free0(X1,X2),X3))|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(esk4_2(k2_gr_free0(X1,X2),X3))|~v1_relat_1(X2)|~v1_xboole_0(k3_finseq_1(X3))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_99]), c_0_100])).
cnf(c_0_108, plain, (v1_finseq_1(esk4_2(k2_gr_free0(X1,X2),X3))|r3_rewrite1(k2_gr_free0(X1,X2),X3)|v1_xboole_0(X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(er,[status(thm)],[c_0_101])).
cnf(c_0_109, plain, (r3_rewrite1(k2_gr_free0(X1,X2),X3)|v1_relat_1(esk4_2(k2_gr_free0(X1,X2),X3))|v1_xboole_0(X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_62]), c_0_63])]), c_0_64])).
cnf(c_0_110, plain, (r3_rewrite1(k2_gr_free0(X1,X2),X3)|v1_funct_1(esk4_2(k2_gr_free0(X1,X2),X3))|v1_xboole_0(X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_62]), c_0_63])]), c_0_64])).
cnf(c_0_111, negated_conjecture, (m2_finseq_1(k1_xboole_0,k1_gr_free0(esk2_0))), inference(er,[status(thm)],[c_0_104])).
fof(c_0_112, plain, ![X80]:(~v1_relat_1(X80)|~v1_funct_1(X80)|~v1_finseq_1(X80)|k3_finseq_1(X80)=k1_card_1(X80)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k3_finseq_1])])).
cnf(c_0_113, plain, (k1_card_1(X1)=X1|~v1_card_1(X1)), inference(split_conjunct,[status(thm)],[c_0_105])).
cnf(c_0_114, plain, (v1_card_1(X1)|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_106])).
cnf(c_0_115, plain, (r3_rewrite1(k2_gr_free0(X1,X2),X3)|v1_xboole_0(X1)|~v1_finseq_1(X3)|~v7_ordinal1(np__1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~v1_xboole_0(k3_finseq_1(X3))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_108]), c_0_109]), c_0_110])).
cnf(c_0_116, negated_conjecture, (v1_finseq_1(k1_xboole_0)), inference(spm,[status(thm)],[c_0_80, c_0_111])).
cnf(c_0_117, plain, (k3_finseq_1(X1)=k1_card_1(X1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_112])).
cnf(c_0_118, plain, (k1_card_1(X1)=X1|~v1_xboole_0(X1)), inference(spm,[status(thm)],[c_0_113, c_0_114])).
cnf(c_0_119, negated_conjecture, (~v7_ordinal1(np__1)|~v1_xboole_0(k3_finseq_1(k1_xboole_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_82, c_0_115]), c_0_116]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89])]), c_0_90])).
cnf(c_0_120, plain, (k3_finseq_1(X1)=X1|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v1_xboole_0(X1)), inference(spm,[status(thm)],[c_0_117, c_0_118])).
cnf(c_0_121, plain, (v1_xboole_0(k1_xboole_0)), inference(split_conjunct,[status(thm)],[fc1_xboole_0])).
cnf(c_0_122, negated_conjecture, (v1_funct_1(k1_xboole_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_82, c_0_76]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89])]), c_0_90])).
cnf(c_0_123, negated_conjecture, (v1_relat_1(k1_xboole_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_82, c_0_75]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89])]), c_0_90])).
cnf(c_0_124, negated_conjecture, (~v7_ordinal1(np__1)), 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_119, c_0_120]), c_0_121]), c_0_116]), c_0_122]), c_0_123])])).
cnf(c_0_125, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_126, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_99]), c_0_125])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 127
# Proof object clause steps            : 72
# Proof object formula steps           : 55
# Proof object conjectures             : 20
# Proof object clause conjectures      : 17
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 35
# Proof object initial formulas used   : 25
# Proof object generating inferences   : 36
# Proof object simplifying inferences  : 63
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 25
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 45
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 43
# Processed clauses                    : 163
# ...of these trivial                  : 1
# ...subsumed                          : 21
# ...remaining for further processing  : 141
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 9
# Backward-rewritten                   : 0
# Generated clauses                    : 160
# ...of the previous two non-trivial   : 145
# Contextual simplify-reflections      : 24
# Paramodulations                      : 142
# Factorizations                       : 2
# NegExts                              : 0
# Equation resolutions                 : 16
# 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  : 132
#    Positive orientable unit clauses  : 16
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 111
# Current number of unprocessed clauses: 21
# ...number of literals in the above   : 121
# Current number of archived formulas  : 0
# Current number of archived clauses   : 10
# Clause-clause subsumption calls (NU) : 16663
# Rec. Clause-clause subsumption calls : 1977
# Non-unit clause-clause subsumptions  : 54
# Unit Clause-clause subsumption calls : 88
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 8379

# -------------------------------------------------
# User time                : 0.047 s
# System time              : 0.000 s
# Total time               : 0.047 s
# Maximum resident set size: 3432 pages
