# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S071I
# and selection function SelectCQArEqLast.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(l3_pdlax, conjecture, ![X1]:(v1_xreal_0(X1)=>?[X2]:((((v1_funct_1(X2)&v3_funct_1(X2))&v1_funct_2(X2,k4_ordinal1,k1_numbers))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))))&![X3]:(v7_ordinal1(X3)=>k1_funct_1(X2,X3)=X1))), file('pdlax/pdlax__l3_pdlax', l3_pdlax)).
fof(d1_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)<=>r2_hidden(X1,k1_numbers)), file('pdlax/pdlax__l3_pdlax', d1_xreal_0)).
fof(t45_funcop_1, axiom, ![X1, X2, X3]:(~(v1_xboole_0(X3))=>![X4]:(m1_subset_1(X4,X3)=>(r2_tarski(X4,X2)=>((v1_funct_1(k2_funcop_1(X1,X4))&v1_funct_2(k2_funcop_1(X1,X4),X1,X2))&m1_subset_1(k2_funcop_1(X1,X4),k1_zfmisc_1(k2_zfmisc_1(X1,X2))))))), file('pdlax/pdlax__l3_pdlax', t45_funcop_1)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('pdlax/pdlax__l3_pdlax', redefinition_r2_tarski)).
fof(redefinition_k7_funcop_1, axiom, ![X1, X2]:k7_funcop_1(X1,X2)=k2_funcop_1(X1,X2), file('pdlax/pdlax__l3_pdlax', redefinition_k7_funcop_1)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('pdlax/pdlax__l3_pdlax', t1_subset)).
fof(fc1_numbers, axiom, ~(v1_xboole_0(k1_numbers)), file('pdlax/pdlax__l3_pdlax', fc1_numbers)).
fof(dt_k7_funcop_1, axiom, ![X1, X2]:((v1_funct_1(k7_funcop_1(X1,X2))&v1_funct_2(k7_funcop_1(X1,X2),X1,k1_tarski(X2)))&m1_subset_1(k7_funcop_1(X1,X2),k1_zfmisc_1(k2_zfmisc_1(X1,k1_tarski(X2))))), file('pdlax/pdlax__l3_pdlax', dt_k7_funcop_1)).
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('pdlax/pdlax__l3_pdlax', cc1_relset_1)).
fof(d10_funct_1, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>(v3_funct_1(X1)<=>![X2, X3]:((r2_hidden(X2,k9_xtuple_0(X1))&r2_hidden(X3,k9_xtuple_0(X1)))=>k1_funct_1(X1,X2)=k1_funct_1(X1,X3)))), file('pdlax/pdlax__l3_pdlax', d10_funct_1)).
fof(t7_funcop_1, axiom, ![X1, X2, X3]:(r2_hidden(X2,X1)=>k1_funct_1(k2_funcop_1(X1,X3),X2)=X3), file('pdlax/pdlax__l3_pdlax', t7_funcop_1)).
fof(d12_ordinal1, axiom, ![X1]:(v7_ordinal1(X1)<=>r2_hidden(X1,k4_ordinal1)), file('pdlax/pdlax__l3_pdlax', d12_ordinal1)).
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('pdlax/pdlax__l3_pdlax', cc2_relset_1)).
fof(fc108_valued_1, axiom, ![X1]:((v1_relat_1(X1)&v4_relat_1(X1,k4_ordinal1))=>v6_membered(k9_xtuple_0(X1))), file('pdlax/pdlax__l3_pdlax', fc108_valued_1)).
fof(cc11_membered, axiom, ![X1]:(v6_membered(X1)=>![X2]:(m1_subset_1(X2,X1)=>v7_ordinal1(X2))), file('pdlax/pdlax__l3_pdlax', cc11_membered)).
fof(c_0_15, negated_conjecture, ~(![X1]:(v1_xreal_0(X1)=>?[X2]:((((v1_funct_1(X2)&v3_funct_1(X2))&v1_funct_2(X2,k4_ordinal1,k1_numbers))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))))&![X3]:(v7_ordinal1(X3)=>k1_funct_1(X2,X3)=X1)))), inference(assume_negation,[status(cth)],[l3_pdlax])).
fof(c_0_16, plain, ![X54]:((~v1_xreal_0(X54)|r2_hidden(X54,k1_numbers))&(~r2_hidden(X54,k1_numbers)|v1_xreal_0(X54))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_xreal_0])])).
fof(c_0_17, negated_conjecture, ![X38]:(v1_xreal_0(esk1_0)&((v7_ordinal1(esk2_1(X38))|(~v1_funct_1(X38)|~v3_funct_1(X38)|~v1_funct_2(X38,k4_ordinal1,k1_numbers)|~m1_subset_1(X38,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))))&(k1_funct_1(X38,esk2_1(X38))!=esk1_0|(~v1_funct_1(X38)|~v3_funct_1(X38)|~v1_funct_2(X38,k4_ordinal1,k1_numbers)|~m1_subset_1(X38,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))))))), 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_15])])])])])).
fof(c_0_18, plain, ![X1, X2, X3]:(~v1_xboole_0(X3)=>![X4]:(m1_subset_1(X4,X3)=>(r2_tarski(X4,X2)=>((v1_funct_1(k2_funcop_1(X1,X4))&v1_funct_2(k2_funcop_1(X1,X4),X1,X2))&m1_subset_1(k2_funcop_1(X1,X4),k1_zfmisc_1(k2_zfmisc_1(X1,X2))))))), inference(fof_simplification,[status(thm)],[t45_funcop_1])).
fof(c_0_19, plain, ![X60, X61]:((~r2_tarski(X60,X61)|r2_hidden(X60,X61))&(~r2_hidden(X60,X61)|r2_tarski(X60,X61))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_20, plain, (r2_hidden(X1,k1_numbers)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_21, negated_conjecture, (v1_xreal_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
fof(c_0_22, plain, ![X64, X65, X66, X67]:(((v1_funct_1(k2_funcop_1(X64,X67))|~r2_tarski(X67,X65)|~m1_subset_1(X67,X66)|v1_xboole_0(X66))&(v1_funct_2(k2_funcop_1(X64,X67),X64,X65)|~r2_tarski(X67,X65)|~m1_subset_1(X67,X66)|v1_xboole_0(X66)))&(m1_subset_1(k2_funcop_1(X64,X67),k1_zfmisc_1(k2_zfmisc_1(X64,X65)))|~r2_tarski(X67,X65)|~m1_subset_1(X67,X66)|v1_xboole_0(X66))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])).
fof(c_0_23, plain, ![X58, X59]:k7_funcop_1(X58,X59)=k2_funcop_1(X58,X59), inference(variable_rename,[status(thm)],[redefinition_k7_funcop_1])).
fof(c_0_24, plain, ![X62, X63]:(~r2_tarski(X62,X63)|m1_subset_1(X62,X63)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
cnf(c_0_25, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_26, negated_conjecture, (r2_hidden(esk1_0,k1_numbers)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_27, plain, (v1_funct_2(k2_funcop_1(X1,X2),X1,X3)|v1_xboole_0(X4)|~r2_tarski(X2,X3)|~m1_subset_1(X2,X4)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_28, plain, (k7_funcop_1(X1,X2)=k2_funcop_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_29, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_30, negated_conjecture, (r2_tarski(esk1_0,k1_numbers)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
fof(c_0_31, plain, ~v1_xboole_0(k1_numbers), inference(fof_simplification,[status(thm)],[fc1_numbers])).
cnf(c_0_32, plain, (v1_xboole_0(X4)|v1_funct_2(k7_funcop_1(X1,X2),X1,X3)|~m1_subset_1(X2,X4)|~r2_tarski(X2,X3)), inference(rw,[status(thm)],[c_0_27, c_0_28])).
cnf(c_0_33, negated_conjecture, (m1_subset_1(esk1_0,k1_numbers)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_34, plain, (~v1_xboole_0(k1_numbers)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_35, plain, (m1_subset_1(k2_funcop_1(X1,X2),k1_zfmisc_1(k2_zfmisc_1(X1,X3)))|v1_xboole_0(X4)|~r2_tarski(X2,X3)|~m1_subset_1(X2,X4)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_36, negated_conjecture, (v1_funct_2(k7_funcop_1(X1,esk1_0),X1,X2)|~r2_tarski(esk1_0,X2)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])).
fof(c_0_37, plain, ![X55, X56]:((v1_funct_1(k7_funcop_1(X55,X56))&v1_funct_2(k7_funcop_1(X55,X56),X55,k1_tarski(X56)))&m1_subset_1(k7_funcop_1(X55,X56),k1_zfmisc_1(k2_zfmisc_1(X55,k1_tarski(X56))))), inference(variable_rename,[status(thm)],[dt_k7_funcop_1])).
cnf(c_0_38, plain, (v1_xboole_0(X4)|m1_subset_1(k7_funcop_1(X1,X2),k1_zfmisc_1(k2_zfmisc_1(X1,X3)))|~m1_subset_1(X2,X4)|~r2_tarski(X2,X3)), inference(rw,[status(thm)],[c_0_35, c_0_28])).
fof(c_0_39, plain, ![X42, X43, X44]:(~m1_subset_1(X44,k1_zfmisc_1(k2_zfmisc_1(X42,X43)))|v1_relat_1(X44)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
cnf(c_0_40, negated_conjecture, (v7_ordinal1(esk2_1(X1))|~v1_funct_1(X1)|~v3_funct_1(X1)|~v1_funct_2(X1,k4_ordinal1,k1_numbers)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_41, negated_conjecture, (v1_funct_2(k7_funcop_1(X1,esk1_0),X1,k1_numbers)), inference(spm,[status(thm)],[c_0_36, c_0_30])).
cnf(c_0_42, plain, (v1_funct_1(k7_funcop_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_43, negated_conjecture, (m1_subset_1(k7_funcop_1(X1,esk1_0),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~r2_tarski(esk1_0,X2)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_33]), c_0_34])).
fof(c_0_44, plain, ![X48, X49, X50]:((~v3_funct_1(X48)|(~r2_hidden(X49,k9_xtuple_0(X48))|~r2_hidden(X50,k9_xtuple_0(X48))|k1_funct_1(X48,X49)=k1_funct_1(X48,X50))|(~v1_relat_1(X48)|~v1_funct_1(X48)))&(((r2_hidden(esk3_1(X48),k9_xtuple_0(X48))|v3_funct_1(X48)|(~v1_relat_1(X48)|~v1_funct_1(X48)))&(r2_hidden(esk4_1(X48),k9_xtuple_0(X48))|v3_funct_1(X48)|(~v1_relat_1(X48)|~v1_funct_1(X48))))&(k1_funct_1(X48,esk3_1(X48))!=k1_funct_1(X48,esk4_1(X48))|v3_funct_1(X48)|(~v1_relat_1(X48)|~v1_funct_1(X48))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_funct_1])])])])])).
cnf(c_0_45, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_46, plain, (m1_subset_1(k7_funcop_1(X1,X2),k1_zfmisc_1(k2_zfmisc_1(X1,k1_tarski(X2))))), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_47, negated_conjecture, (v7_ordinal1(esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))|~m1_subset_1(k7_funcop_1(k4_ordinal1,esk1_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))|~v3_funct_1(k7_funcop_1(k4_ordinal1,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])])).
cnf(c_0_48, negated_conjecture, (m1_subset_1(k7_funcop_1(X1,esk1_0),k1_zfmisc_1(k2_zfmisc_1(X1,k1_numbers)))), inference(spm,[status(thm)],[c_0_43, c_0_30])).
cnf(c_0_49, plain, (r2_hidden(esk4_1(X1),k9_xtuple_0(X1))|v3_funct_1(X1)|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_50, plain, (v1_relat_1(k7_funcop_1(X1,X2))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
cnf(c_0_51, plain, (r2_hidden(esk3_1(X1),k9_xtuple_0(X1))|v3_funct_1(X1)|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
fof(c_0_52, plain, ![X68, X69, X70]:(~r2_hidden(X69,X68)|k1_funct_1(k2_funcop_1(X68,X70),X69)=X70), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_funcop_1])])).
fof(c_0_53, plain, ![X53]:((~v7_ordinal1(X53)|r2_hidden(X53,k4_ordinal1))&(~r2_hidden(X53,k4_ordinal1)|v7_ordinal1(X53))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_ordinal1])])).
cnf(c_0_54, negated_conjecture, (v7_ordinal1(esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))|~v3_funct_1(k7_funcop_1(k4_ordinal1,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_48])])).
cnf(c_0_55, plain, (r2_hidden(esk4_1(k7_funcop_1(X1,X2)),k9_xtuple_0(k7_funcop_1(X1,X2)))|v3_funct_1(k7_funcop_1(X1,X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_42]), c_0_50])])).
cnf(c_0_56, plain, (r2_hidden(esk3_1(k7_funcop_1(X1,X2)),k9_xtuple_0(k7_funcop_1(X1,X2)))|v3_funct_1(k7_funcop_1(X1,X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_42]), c_0_50])])).
cnf(c_0_57, plain, (k1_funct_1(k2_funcop_1(X2,X3),X1)=X3|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_58, plain, (r2_hidden(X1,k4_ordinal1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_59, negated_conjecture, (r2_hidden(esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))|v7_ordinal1(esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(spm,[status(thm)],[c_0_54, c_0_55])).
cnf(c_0_60, negated_conjecture, (r2_hidden(esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))|v7_ordinal1(esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(spm,[status(thm)],[c_0_54, c_0_56])).
cnf(c_0_61, plain, (k1_funct_1(k7_funcop_1(X2,X3),X1)=X3|~r2_hidden(X1,X2)), inference(rw,[status(thm)],[c_0_57, c_0_28])).
cnf(c_0_62, negated_conjecture, (r2_hidden(esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))|r2_hidden(esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)),k4_ordinal1)), inference(spm,[status(thm)],[c_0_58, c_0_59])).
fof(c_0_63, plain, ![X45, X46, X47]:((v4_relat_1(X47,X45)|~m1_subset_1(X47,k1_zfmisc_1(k2_zfmisc_1(X45,X46))))&(v5_relat_1(X47,X46)|~m1_subset_1(X47,k1_zfmisc_1(k2_zfmisc_1(X45,X46))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_relset_1])])])).
cnf(c_0_64, negated_conjecture, (r2_hidden(esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))|r2_hidden(esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)),k4_ordinal1)), inference(spm,[status(thm)],[c_0_58, c_0_60])).
cnf(c_0_65, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|r2_hidden(esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(spm,[status(thm)],[c_0_61, c_0_62])).
fof(c_0_66, plain, ![X57]:(~v1_relat_1(X57)|~v4_relat_1(X57,k4_ordinal1)|v6_membered(k9_xtuple_0(X57))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc108_valued_1])])).
cnf(c_0_67, plain, (v4_relat_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_68, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|r2_hidden(esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(spm,[status(thm)],[c_0_61, c_0_64])).
fof(c_0_69, plain, ![X40, X41]:(~v6_membered(X40)|(~m1_subset_1(X41,X40)|v7_ordinal1(X41))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc11_membered])])])).
cnf(c_0_70, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|r2_tarski(esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(spm,[status(thm)],[c_0_25, c_0_65])).
cnf(c_0_71, plain, (v6_membered(k9_xtuple_0(X1))|~v1_relat_1(X1)|~v4_relat_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_72, plain, (v4_relat_1(k7_funcop_1(X1,X2),X1)), inference(spm,[status(thm)],[c_0_67, c_0_46])).
cnf(c_0_73, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|r2_tarski(esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(spm,[status(thm)],[c_0_25, c_0_68])).
cnf(c_0_74, plain, (v7_ordinal1(X2)|~v6_membered(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_75, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|m1_subset_1(esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(spm,[status(thm)],[c_0_29, c_0_70])).
cnf(c_0_76, plain, (v6_membered(k9_xtuple_0(k7_funcop_1(k4_ordinal1,X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_50])])).
cnf(c_0_77, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|m1_subset_1(esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(spm,[status(thm)],[c_0_29, c_0_73])).
cnf(c_0_78, negated_conjecture, (k1_funct_1(X1,esk2_1(X1))!=esk1_0|~v1_funct_1(X1)|~v3_funct_1(X1)|~v1_funct_2(X1,k4_ordinal1,k1_numbers)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_79, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|v7_ordinal1(esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_75]), c_0_76])])).
cnf(c_0_80, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|v7_ordinal1(esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_77]), c_0_76])])).
cnf(c_0_81, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,esk1_0),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))!=esk1_0|~v3_funct_1(k7_funcop_1(k4_ordinal1,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_41]), c_0_42])]), c_0_48])])).
cnf(c_0_82, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|r2_hidden(esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)),k4_ordinal1)), inference(spm,[status(thm)],[c_0_58, c_0_79])).
cnf(c_0_83, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|r2_hidden(esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)),k4_ordinal1)), inference(spm,[status(thm)],[c_0_58, c_0_80])).
cnf(c_0_84, negated_conjecture, (r2_hidden(esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))|k1_funct_1(k7_funcop_1(k4_ordinal1,esk1_0),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))!=esk1_0), inference(spm,[status(thm)],[c_0_81, c_0_55])).
cnf(c_0_85, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|k1_funct_1(k7_funcop_1(k4_ordinal1,X2),esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X2), inference(spm,[status(thm)],[c_0_61, c_0_82])).
cnf(c_0_86, negated_conjecture, (r2_hidden(esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))|k1_funct_1(k7_funcop_1(k4_ordinal1,esk1_0),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))!=esk1_0), inference(spm,[status(thm)],[c_0_81, c_0_56])).
cnf(c_0_87, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|k1_funct_1(k7_funcop_1(k4_ordinal1,X2),esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X2), inference(spm,[status(thm)],[c_0_61, c_0_83])).
cnf(c_0_88, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|r2_hidden(esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(spm,[status(thm)],[c_0_84, c_0_85])).
cnf(c_0_89, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|r2_hidden(esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(spm,[status(thm)],[c_0_86, c_0_87])).
cnf(c_0_90, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|r2_tarski(esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(spm,[status(thm)],[c_0_25, c_0_88])).
cnf(c_0_91, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|r2_tarski(esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(spm,[status(thm)],[c_0_25, c_0_89])).
cnf(c_0_92, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|m1_subset_1(esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(spm,[status(thm)],[c_0_29, c_0_90])).
cnf(c_0_93, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|m1_subset_1(esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)),k9_xtuple_0(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(spm,[status(thm)],[c_0_29, c_0_91])).
cnf(c_0_94, plain, (v3_funct_1(X1)|k1_funct_1(X1,esk3_1(X1))!=k1_funct_1(X1,esk4_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_95, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|v7_ordinal1(esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_92]), c_0_76])])).
cnf(c_0_96, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1|v7_ordinal1(esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_93]), c_0_76])])).
cnf(c_0_97, plain, (v3_funct_1(k7_funcop_1(X1,X2))|k1_funct_1(k7_funcop_1(X1,X2),esk4_1(k7_funcop_1(X1,X2)))!=k1_funct_1(k7_funcop_1(X1,X2),esk3_1(k7_funcop_1(X1,X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_42]), c_0_50])])).
cnf(c_0_98, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk4_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_95]), c_0_61])).
cnf(c_0_99, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk3_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_96]), c_0_61])).
cnf(c_0_100, negated_conjecture, (v3_funct_1(k7_funcop_1(k4_ordinal1,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_98]), c_0_99])])).
cnf(c_0_101, negated_conjecture, (v7_ordinal1(esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_100])])).
cnf(c_0_102, negated_conjecture, (r2_hidden(esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)),k4_ordinal1)), inference(spm,[status(thm)],[c_0_58, c_0_101])).
cnf(c_0_103, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,esk1_0),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))!=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81, c_0_100])])).
cnf(c_0_104, negated_conjecture, (k1_funct_1(k7_funcop_1(k4_ordinal1,X1),esk2_1(k7_funcop_1(k4_ordinal1,esk1_0)))=X1), inference(spm,[status(thm)],[c_0_61, c_0_102])).
cnf(c_0_105, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103, c_0_104])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 106
# Proof object clause steps            : 74
# Proof object formula steps           : 32
# Proof object conjectures             : 50
# Proof object clause conjectures      : 47
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 21
# Proof object initial formulas used   : 15
# Proof object generating inferences   : 46
# Proof object simplifying inferences  : 39
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 15
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 28
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 27
# Processed clauses                    : 176
# ...of these trivial                  : 1
# ...subsumed                          : 22
# ...remaining for further processing  : 153
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 12
# Backward-rewritten                   : 54
# Generated clauses                    : 205
# ...of the previous two non-trivial   : 194
# Contextual simplify-reflections      : 2
# Paramodulations                      : 205
# 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  : 61
#    Positive orientable unit clauses  : 23
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 37
# Current number of unprocessed clauses: 68
# ...number of literals in the above   : 247
# Current number of archived formulas  : 0
# Current number of archived clauses   : 93
# Clause-clause subsumption calls (NU) : 3215
# Rec. Clause-clause subsumption calls : 1934
# Non-unit clause-clause subsumptions  : 24
# Unit Clause-clause subsumption calls : 320
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 16
# BW rewrite match successes           : 14
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 7520

# -------------------------------------------------
# User time                : 0.031 s
# System time              : 0.000 s
# Total time               : 0.031 s
# Maximum resident set size: 3420 pages
