# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2SI
# and selection function SelectNewComplexAHP.
#
# Preprocessing time       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(redefinition_k4_subset_1, axiom, ![X1, X2, X3]:((m1_subset_1(X2,k1_zfmisc_1(X1))&m1_subset_1(X3,k1_zfmisc_1(X1)))=>k4_subset_1(X1,X2,X3)=k2_xboole_0(X2,X3)), file('number15/number15__t13_number15', redefinition_k4_subset_1)).
fof(dt_k1_number15, axiom, ![X1, X2, X3]:(((v1_int_1(X1)&v1_int_1(X2))&v1_int_1(X3))=>m1_subset_1(k1_number15(X1,X2,X3),k1_zfmisc_1(k4_ordinal1))), file('number15/number15__t13_number15', dt_k1_number15)).
fof(t13_number15, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>![X4]:(v1_int_1(X4)=>![X5]:(v1_int_1(X5)=>(r2_tarski(X1,k4_subset_1(k4_ordinal1,k1_number15(X2,X3,X4),k1_number15(X2,X3,X5)))<=>((k5_int_1(X1,X3)=X4|k5_int_1(X1,X3)=X5)&r1_int_1(X1,X2)))))))), file('number15/number15__t13_number15', t13_number15)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('number15/number15__t13_number15', redefinition_r2_tarski)).
fof(d3_xboole_0, axiom, ![X1, X2, X3]:(X3=k2_xboole_0(X1,X2)<=>![X4]:(r2_hidden(X4,X3)<=>(r2_hidden(X4,X1)|r2_hidden(X4,X2)))), file('number15/number15__t13_number15', d3_xboole_0)).
fof(t12_number15, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>![X4]:(v1_int_1(X4)=>(r2_tarski(X1,k1_number15(X2,X3,X4))<=>(k5_int_1(X1,X3)=X4&r1_int_1(X1,X2))))))), file('number15/number15__t13_number15', t12_number15)).
fof(c_0_6, plain, ![X44, X45, X46]:(~m1_subset_1(X45,k1_zfmisc_1(X44))|~m1_subset_1(X46,k1_zfmisc_1(X44))|k4_subset_1(X44,X45,X46)=k2_xboole_0(X45,X46)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1])])).
fof(c_0_7, plain, ![X41, X42, X43]:(~v1_int_1(X41)|~v1_int_1(X42)|~v1_int_1(X43)|m1_subset_1(k1_number15(X41,X42,X43),k1_zfmisc_1(k4_ordinal1))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_number15])])).
cnf(c_0_8, plain, (k4_subset_1(X2,X1,X3)=k2_xboole_0(X1,X3)|~m1_subset_1(X1,k1_zfmisc_1(X2))|~m1_subset_1(X3,k1_zfmisc_1(X2))), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_9, plain, (m1_subset_1(k1_number15(X1,X2,X3),k1_zfmisc_1(k4_ordinal1))|~v1_int_1(X1)|~v1_int_1(X2)|~v1_int_1(X3)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_10, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>![X4]:(v1_int_1(X4)=>![X5]:(v1_int_1(X5)=>(r2_tarski(X1,k4_subset_1(k4_ordinal1,k1_number15(X2,X3,X4),k1_number15(X2,X3,X5)))<=>((k5_int_1(X1,X3)=X4|k5_int_1(X1,X3)=X5)&r1_int_1(X1,X2))))))))), inference(assume_negation,[status(cth)],[t13_number15])).
cnf(c_0_11, plain, (k4_subset_1(k4_ordinal1,X1,k1_number15(X2,X3,X4))=k2_xboole_0(X1,k1_number15(X2,X3,X4))|~m1_subset_1(X1,k1_zfmisc_1(k4_ordinal1))|~v1_int_1(X4)|~v1_int_1(X3)|~v1_int_1(X2)), inference(spm,[status(thm)],[c_0_8, c_0_9])).
fof(c_0_12, negated_conjecture, (v7_ordinal1(esk1_0)&(v1_int_1(esk2_0)&(v1_int_1(esk3_0)&(v1_int_1(esk4_0)&(v1_int_1(esk5_0)&(((k5_int_1(esk1_0,esk3_0)!=esk4_0|~r1_int_1(esk1_0,esk2_0)|~r2_tarski(esk1_0,k4_subset_1(k4_ordinal1,k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0))))&(k5_int_1(esk1_0,esk3_0)!=esk5_0|~r1_int_1(esk1_0,esk2_0)|~r2_tarski(esk1_0,k4_subset_1(k4_ordinal1,k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))))&((k5_int_1(esk1_0,esk3_0)=esk4_0|k5_int_1(esk1_0,esk3_0)=esk5_0|r2_tarski(esk1_0,k4_subset_1(k4_ordinal1,k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0))))&(r1_int_1(esk1_0,esk2_0)|r2_tarski(esk1_0,k4_subset_1(k4_ordinal1,k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0))))))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])).
cnf(c_0_13, plain, (k4_subset_1(k4_ordinal1,k1_number15(X1,X2,X3),k1_number15(X4,X5,X6))=k2_xboole_0(k1_number15(X1,X2,X3),k1_number15(X4,X5,X6))|~v1_int_1(X6)|~v1_int_1(X5)|~v1_int_1(X4)|~v1_int_1(X3)|~v1_int_1(X2)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_11, c_0_9])).
cnf(c_0_14, negated_conjecture, (v1_int_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_15, negated_conjecture, (k4_subset_1(k4_ordinal1,k1_number15(esk2_0,X1,X2),k1_number15(X3,X4,X5))=k2_xboole_0(k1_number15(esk2_0,X1,X2),k1_number15(X3,X4,X5))|~v1_int_1(X5)|~v1_int_1(X4)|~v1_int_1(X3)|~v1_int_1(X2)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_13, c_0_14])).
cnf(c_0_16, negated_conjecture, (v1_int_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_17, negated_conjecture, (k4_subset_1(k4_ordinal1,k1_number15(esk2_0,esk3_0,X1),k1_number15(X2,X3,X4))=k2_xboole_0(k1_number15(esk2_0,esk3_0,X1),k1_number15(X2,X3,X4))|~v1_int_1(X4)|~v1_int_1(X3)|~v1_int_1(X2)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_15, c_0_16])).
cnf(c_0_18, negated_conjecture, (v1_int_1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_19, negated_conjecture, (k4_subset_1(k4_ordinal1,k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(X1,X2,X3))=k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(X1,X2,X3))|~v1_int_1(X3)|~v1_int_1(X2)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
fof(c_0_20, plain, ![X47, X48]:((~r2_tarski(X47,X48)|r2_hidden(X47,X48))&(~r2_hidden(X47,X48)|r2_tarski(X47,X48))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_21, negated_conjecture, (k4_subset_1(k4_ordinal1,k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,X1,X2))=k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,X1,X2))|~v1_int_1(X2)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_19, c_0_14])).
fof(c_0_22, plain, ![X32, X33, X34, X35, X36, X37, X38, X39]:(((~r2_hidden(X35,X34)|(r2_hidden(X35,X32)|r2_hidden(X35,X33))|X34!=k2_xboole_0(X32,X33))&((~r2_hidden(X36,X32)|r2_hidden(X36,X34)|X34!=k2_xboole_0(X32,X33))&(~r2_hidden(X36,X33)|r2_hidden(X36,X34)|X34!=k2_xboole_0(X32,X33))))&(((~r2_hidden(esk6_3(X37,X38,X39),X37)|~r2_hidden(esk6_3(X37,X38,X39),X39)|X39=k2_xboole_0(X37,X38))&(~r2_hidden(esk6_3(X37,X38,X39),X38)|~r2_hidden(esk6_3(X37,X38,X39),X39)|X39=k2_xboole_0(X37,X38)))&(r2_hidden(esk6_3(X37,X38,X39),X39)|(r2_hidden(esk6_3(X37,X38,X39),X37)|r2_hidden(esk6_3(X37,X38,X39),X38))|X39=k2_xboole_0(X37,X38)))), 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)],[d3_xboole_0])])])])])])).
cnf(c_0_23, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_24, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|k5_int_1(esk1_0,esk3_0)=esk5_0|r2_tarski(esk1_0,k4_subset_1(k4_ordinal1,k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_25, negated_conjecture, (k4_subset_1(k4_ordinal1,k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,X1))=k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,X1))|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_21, c_0_16])).
cnf(c_0_26, negated_conjecture, (v1_int_1(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_27, plain, (r2_hidden(X1,X3)|r2_hidden(X1,X4)|~r2_hidden(X1,X2)|X2!=k2_xboole_0(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_28, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk5_0|k5_int_1(esk1_0,esk3_0)=esk4_0|r2_hidden(esk1_0,k4_subset_1(k4_ordinal1,k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_29, negated_conjecture, (k4_subset_1(k4_ordinal1,k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0))=k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0))), inference(spm,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_30, plain, (r2_hidden(X1,X2)|r2_hidden(X1,X3)|~r2_hidden(X1,k2_xboole_0(X3,X2))), inference(er,[status(thm)],[c_0_27])).
cnf(c_0_31, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|k5_int_1(esk1_0,esk3_0)=esk5_0|r2_hidden(esk1_0,k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(rw,[status(thm)],[c_0_28, c_0_29])).
fof(c_0_32, plain, ![X49, X50, X51, X52]:(((k5_int_1(X49,X51)=X52|~r2_tarski(X49,k1_number15(X50,X51,X52))|~v1_int_1(X52)|~v1_int_1(X51)|~v1_int_1(X50)|~v7_ordinal1(X49))&(r1_int_1(X49,X50)|~r2_tarski(X49,k1_number15(X50,X51,X52))|~v1_int_1(X52)|~v1_int_1(X51)|~v1_int_1(X50)|~v7_ordinal1(X49)))&(k5_int_1(X49,X51)!=X52|~r1_int_1(X49,X50)|r2_tarski(X49,k1_number15(X50,X51,X52))|~v1_int_1(X52)|~v1_int_1(X51)|~v1_int_1(X50)|~v7_ordinal1(X49))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_number15])])])])).
cnf(c_0_33, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_34, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk5_0|k5_int_1(esk1_0,esk3_0)=esk4_0|r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk5_0))|r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))), inference(spm,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_35, plain, (k5_int_1(X1,X2)=X3|~r2_tarski(X1,k1_number15(X4,X2,X3))|~v1_int_1(X3)|~v1_int_1(X2)|~v1_int_1(X4)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_36, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|k5_int_1(esk1_0,esk3_0)=esk5_0|r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))|r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk5_0))), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_37, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_38, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|k5_int_1(esk1_0,esk3_0)=esk5_0|r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk4_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_35, c_0_36]), c_0_14]), c_0_26]), c_0_16]), c_0_37])])).
cnf(c_0_39, plain, (r2_tarski(X1,k1_number15(X4,X2,X3))|k5_int_1(X1,X2)!=X3|~r1_int_1(X1,X4)|~v1_int_1(X3)|~v1_int_1(X2)|~v1_int_1(X4)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_40, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk5_0|k5_int_1(esk1_0,esk3_0)=esk4_0|r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))), inference(spm,[status(thm)],[c_0_33, c_0_38])).
cnf(c_0_41, plain, (r2_tarski(X1,k1_number15(X2,X3,k5_int_1(X1,X3)))|~r1_int_1(X1,X2)|~v1_int_1(k5_int_1(X1,X3))|~v1_int_1(X2)|~v1_int_1(X3)|~v7_ordinal1(X1)), inference(er,[status(thm)],[c_0_39])).
cnf(c_0_42, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk5_0|k5_int_1(esk1_0,esk3_0)=esk4_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_35, c_0_40]), c_0_14]), c_0_18]), c_0_16]), c_0_37])])).
cnf(c_0_43, negated_conjecture, (r1_int_1(esk1_0,esk2_0)|r2_tarski(esk1_0,k4_subset_1(k4_ordinal1,k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_44, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|r2_tarski(esk1_0,k1_number15(X1,esk3_0,esk5_0))|~r1_int_1(esk1_0,X1)|~v1_int_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_26]), c_0_16]), c_0_37])])).
cnf(c_0_45, negated_conjecture, (r1_int_1(esk1_0,esk2_0)|r2_tarski(esk1_0,k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(rw,[status(thm)],[c_0_43, c_0_29])).
cnf(c_0_46, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|r2_tarski(esk1_0,k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))|r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_14])])).
cnf(c_0_47, plain, (r2_hidden(X1,X3)|~r2_hidden(X1,X2)|X3!=k2_xboole_0(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_48, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|r2_hidden(esk1_0,k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))|r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk5_0))), inference(spm,[status(thm)],[c_0_23, c_0_46])).
cnf(c_0_49, plain, (r2_hidden(X1,k2_xboole_0(X2,X3))|~r2_hidden(X1,X3)), inference(er,[status(thm)],[c_0_47])).
cnf(c_0_50, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|r2_hidden(esk1_0,k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_48]), c_0_49])).
cnf(c_0_51, negated_conjecture, (k5_int_1(esk1_0,esk3_0)!=esk5_0|~r1_int_1(esk1_0,esk2_0)|~r2_tarski(esk1_0,k4_subset_1(k4_ordinal1,k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_52, negated_conjecture, (k5_int_1(esk1_0,esk3_0)!=esk4_0|~r1_int_1(esk1_0,esk2_0)|~r2_tarski(esk1_0,k4_subset_1(k4_ordinal1,k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_53, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk5_0))|r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))), inference(spm,[status(thm)],[c_0_30, c_0_50])).
cnf(c_0_54, negated_conjecture, (k5_int_1(esk1_0,esk3_0)!=esk5_0|~r1_int_1(esk1_0,esk2_0)|~r2_tarski(esk1_0,k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(rw,[status(thm)],[c_0_51, c_0_29])).
cnf(c_0_55, negated_conjecture, (k5_int_1(esk1_0,esk3_0)!=esk4_0|~r1_int_1(esk1_0,esk2_0)|~r2_tarski(esk1_0,k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(rw,[status(thm)],[c_0_52, c_0_29])).
cnf(c_0_56, plain, (r1_int_1(X1,X2)|~r2_tarski(X1,k1_number15(X2,X3,X4))|~v1_int_1(X4)|~v1_int_1(X3)|~v1_int_1(X2)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_57, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))|r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk5_0))), inference(spm,[status(thm)],[c_0_33, c_0_53])).
cnf(c_0_58, negated_conjecture, (~r1_int_1(esk1_0,esk2_0)|~r2_tarski(esk1_0,k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_42]), c_0_55])).
cnf(c_0_59, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))|r1_int_1(esk1_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_57]), c_0_26]), c_0_16]), c_0_14]), c_0_37])])).
cnf(c_0_60, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))|~r2_tarski(esk1_0,k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(spm,[status(thm)],[c_0_58, c_0_59])).
cnf(c_0_61, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|r2_tarski(esk1_0,k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(spm,[status(thm)],[c_0_33, c_0_50])).
cnf(c_0_62, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))), inference(spm,[status(thm)],[c_0_60, c_0_61])).
cnf(c_0_63, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))), inference(spm,[status(thm)],[c_0_33, c_0_62])).
cnf(c_0_64, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_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_35, c_0_63]), c_0_14]), c_0_18]), c_0_16]), c_0_37])])).
cnf(c_0_65, negated_conjecture, (r2_tarski(esk1_0,k1_number15(X1,esk3_0,esk4_0))|~r1_int_1(esk1_0,X1)|~v1_int_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_64]), c_0_18]), c_0_16]), c_0_37])])).
cnf(c_0_66, negated_conjecture, (r2_tarski(esk1_0,k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))|r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_45]), c_0_14])])).
cnf(c_0_67, plain, (r2_hidden(X1,X3)|~r2_hidden(X1,X2)|X3!=k2_xboole_0(X2,X4)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_68, negated_conjecture, (r2_hidden(esk1_0,k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))|r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))), inference(spm,[status(thm)],[c_0_23, c_0_66])).
cnf(c_0_69, plain, (r2_hidden(X1,k2_xboole_0(X2,X3))|~r2_hidden(X1,X2)), inference(er,[status(thm)],[c_0_67])).
cnf(c_0_70, negated_conjecture, (r2_hidden(esk1_0,k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_68]), c_0_69])).
cnf(c_0_71, negated_conjecture, (r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk5_0))|r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))), inference(spm,[status(thm)],[c_0_30, c_0_70])).
cnf(c_0_72, negated_conjecture, (r2_tarski(esk1_0,k2_xboole_0(k1_number15(esk2_0,esk3_0,esk4_0),k1_number15(esk2_0,esk3_0,esk5_0)))), inference(spm,[status(thm)],[c_0_33, c_0_70])).
cnf(c_0_73, negated_conjecture, (r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))|r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk5_0))), inference(spm,[status(thm)],[c_0_33, c_0_71])).
cnf(c_0_74, negated_conjecture, (~r1_int_1(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_72])])).
cnf(c_0_75, negated_conjecture, (r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_73]), c_0_26]), c_0_16]), c_0_14]), c_0_37])]), c_0_74])).
cnf(c_0_76, negated_conjecture, (r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))), inference(spm,[status(thm)],[c_0_33, c_0_75])).
cnf(c_0_77, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_76]), c_0_18]), c_0_16]), c_0_14]), c_0_37])]), c_0_74]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 78
# Proof object clause steps            : 65
# Proof object formula steps           : 13
# Proof object conjectures             : 52
# Proof object clause conjectures      : 49
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 6
# Proof object generating inferences   : 37
# Proof object simplifying inferences  : 57
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 22
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 22
# Processed clauses                    : 45924
# ...of these trivial                  : 8504
# ...subsumed                          : 24734
# ...remaining for further processing  : 12686
# Other redundant clauses eliminated   : 4
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 161
# Backward-rewritten                   : 121
# Generated clauses                    : 322435
# ...of the previous two non-trivial   : 305799
# Contextual simplify-reflections      : 14
# Paramodulations                      : 318116
# Factorizations                       : 4315
# NegExts                              : 0
# Equation resolutions                 : 4
# 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  : 12378
#    Positive orientable unit clauses  : 3920
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 8457
# Current number of unprocessed clauses: 259701
# ...number of literals in the above   : 938760
# Current number of archived formulas  : 0
# Current number of archived clauses   : 304
# Clause-clause subsumption calls (NU) : 3738436
# Rec. Clause-clause subsumption calls : 1549028
# Non-unit clause-clause subsumptions  : 24908
# Unit Clause-clause subsumption calls : 308075
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1302905
# BW rewrite match successes           : 6
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 7127118

# -------------------------------------------------
# User time                : 5.873 s
# System time              : 0.132 s
# Total time               : 6.005 s
# Maximum resident set size: 2856 pages
