# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(spc10_arithm, axiom, ![X1, X2]:((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))=>k3_xcmplx_0(k5_xcmplx_0(X1),k5_xcmplx_0(X2))=k5_xcmplx_0(k3_xcmplx_0(X1,X2))), file('number15/number15__t58_number15', spc10_arithm)).
fof(t10_valued_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))=>![X2]:k1_funct_1(k35_valued_1(X1),X2)=k5_xcmplx_0(k1_funct_1(X1,X2))), file('number15/number15__t58_number15', t10_valued_1)).
fof(fc61_valued_0, axiom, ![X1, X2]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))=>v1_xcmplx_0(k1_funct_1(X1,X2))), file('number15/number15__t58_number15', fc61_valued_0)).
fof(d5_valued_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))=>![X2]:(v1_xcmplx_0(X2)=>![X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>(X3=k24_valued_1(X1,X2)<=>(k9_xtuple_0(X3)=k9_xtuple_0(X1)&![X4]:(r2_hidden(X4,k9_xtuple_0(X3))=>k1_funct_1(X3,X4)=k3_xcmplx_0(X2,k1_funct_1(X1,X4)))))))), file('number15/number15__t58_number15', d5_valued_1)).
fof(dt_k5_xcmplx_0, axiom, ![X1]:(v1_xcmplx_0(X1)=>v1_xcmplx_0(k5_xcmplx_0(X1))), file('number15/number15__t58_number15', dt_k5_xcmplx_0)).
fof(fc19_finseq_9, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))=>(((v1_relat_1(k35_valued_1(X1))&v4_relat_1(k35_valued_1(X1),k9_xtuple_0(X1)))&v1_funct_1(k35_valued_1(X1)))&v1_valued_0(k35_valued_1(X1)))), file('number15/number15__t58_number15', fc19_finseq_9)).
fof(t6_valued_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))=>![X2]:(v1_xcmplx_0(X2)=>![X3]:k1_funct_1(k24_valued_1(X1,X2),X3)=k3_xcmplx_0(X2,k1_funct_1(X1,X3)))), file('number15/number15__t58_number15', t6_valued_1)).
fof(fc44_valued_1, axiom, ![X1, X2]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))&v1_xcmplx_0(X2))=>((v1_relat_1(k24_valued_1(X1,X2))&v1_funct_1(k24_valued_1(X1,X2)))&v1_valued_0(k24_valued_1(X1,X2)))), file('number15/number15__t58_number15', fc44_valued_1)).
fof(t58_number15, conjecture, ![X1]:(v1_xcmplx_0(X1)=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v1_valued_0(X2))=>r6_pboole(k9_xtuple_0(X2),k35_valued_1(k24_valued_1(X2,X1)),k24_valued_1(k35_valued_1(X2),k5_xcmplx_0(X1))))), file('number15/number15__t58_number15', t58_number15)).
fof(redefinition_r6_pboole, axiom, ![X1, X2, X3]:((((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_relat_1(X3))&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))=>(r6_pboole(X1,X2,X3)<=>X2=X3)), file('number15/number15__t58_number15', redefinition_r6_pboole)).
fof(fc20_finseq_9, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))=>(((v1_relat_1(k35_valued_1(X1))&v1_funct_1(k35_valued_1(X1)))&v1_partfun1(k35_valued_1(X1),k9_xtuple_0(X1)))&v1_valued_0(k35_valued_1(X1)))), file('number15/number15__t58_number15', fc20_finseq_9)).
fof(d7_valued_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v1_valued_0(X2))=>(X2=k35_valued_1(X1)<=>(k9_xtuple_0(X2)=k9_xtuple_0(X1)&![X3]:(r2_hidden(X3,k9_xtuple_0(X2))=>k1_funct_1(X2,X3)=k5_xcmplx_0(k1_funct_1(X1,X3))))))), file('number15/number15__t58_number15', d7_valued_1)).
fof(c_0_12, plain, ![X52, X53]:(~v1_xcmplx_0(X52)|~v1_xcmplx_0(X53)|k3_xcmplx_0(k5_xcmplx_0(X52),k5_xcmplx_0(X53))=k5_xcmplx_0(k3_xcmplx_0(X52,X53))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[spc10_arithm])])).
fof(c_0_13, plain, ![X54, X55]:(~v1_relat_1(X54)|~v1_funct_1(X54)|~v1_valued_0(X54)|k1_funct_1(k35_valued_1(X54),X55)=k5_xcmplx_0(k1_funct_1(X54,X55))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_valued_1])])])).
fof(c_0_14, plain, ![X47, X48]:(~v1_relat_1(X47)|~v1_funct_1(X47)|~v1_valued_0(X47)|v1_xcmplx_0(k1_funct_1(X47,X48))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc61_valued_0])])).
fof(c_0_15, plain, ![X33, X34, X35, X36]:(((k9_xtuple_0(X35)=k9_xtuple_0(X33)|X35!=k24_valued_1(X33,X34)|(~v1_relat_1(X35)|~v1_funct_1(X35))|~v1_xcmplx_0(X34)|(~v1_relat_1(X33)|~v1_funct_1(X33)|~v1_valued_0(X33)))&(~r2_hidden(X36,k9_xtuple_0(X35))|k1_funct_1(X35,X36)=k3_xcmplx_0(X34,k1_funct_1(X33,X36))|X35!=k24_valued_1(X33,X34)|(~v1_relat_1(X35)|~v1_funct_1(X35))|~v1_xcmplx_0(X34)|(~v1_relat_1(X33)|~v1_funct_1(X33)|~v1_valued_0(X33))))&((r2_hidden(esk3_3(X33,X34,X35),k9_xtuple_0(X35))|k9_xtuple_0(X35)!=k9_xtuple_0(X33)|X35=k24_valued_1(X33,X34)|(~v1_relat_1(X35)|~v1_funct_1(X35))|~v1_xcmplx_0(X34)|(~v1_relat_1(X33)|~v1_funct_1(X33)|~v1_valued_0(X33)))&(k1_funct_1(X35,esk3_3(X33,X34,X35))!=k3_xcmplx_0(X34,k1_funct_1(X33,esk3_3(X33,X34,X35)))|k9_xtuple_0(X35)!=k9_xtuple_0(X33)|X35=k24_valued_1(X33,X34)|(~v1_relat_1(X35)|~v1_funct_1(X35))|~v1_xcmplx_0(X34)|(~v1_relat_1(X33)|~v1_funct_1(X33)|~v1_valued_0(X33))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_valued_1])])])])])).
cnf(c_0_16, plain, (k3_xcmplx_0(k5_xcmplx_0(X1),k5_xcmplx_0(X2))=k5_xcmplx_0(k3_xcmplx_0(X1,X2))|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_17, plain, (k1_funct_1(k35_valued_1(X1),X2)=k5_xcmplx_0(k1_funct_1(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_18, plain, (v1_xcmplx_0(k1_funct_1(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_19, plain, ![X42]:(~v1_xcmplx_0(X42)|v1_xcmplx_0(k5_xcmplx_0(X42))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_xcmplx_0])])).
fof(c_0_20, plain, ![X43]:((((v1_relat_1(k35_valued_1(X43))|(~v1_relat_1(X43)|~v1_funct_1(X43)|~v1_valued_0(X43)))&(v4_relat_1(k35_valued_1(X43),k9_xtuple_0(X43))|(~v1_relat_1(X43)|~v1_funct_1(X43)|~v1_valued_0(X43))))&(v1_funct_1(k35_valued_1(X43))|(~v1_relat_1(X43)|~v1_funct_1(X43)|~v1_valued_0(X43))))&(v1_valued_0(k35_valued_1(X43))|(~v1_relat_1(X43)|~v1_funct_1(X43)|~v1_valued_0(X43)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc19_finseq_9])])])).
cnf(c_0_21, plain, (X1=k24_valued_1(X2,X3)|k1_funct_1(X1,esk3_3(X2,X3,X1))!=k3_xcmplx_0(X3,k1_funct_1(X2,esk3_3(X2,X3,X1)))|k9_xtuple_0(X1)!=k9_xtuple_0(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_xcmplx_0(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_valued_0(X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_22, plain, (k3_xcmplx_0(k5_xcmplx_0(X1),k1_funct_1(k35_valued_1(X2),X3))=k5_xcmplx_0(k3_xcmplx_0(X1,k1_funct_1(X2,X3)))|~v1_valued_0(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)|~v1_xcmplx_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])).
cnf(c_0_23, plain, (v1_xcmplx_0(k5_xcmplx_0(X1))|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_24, plain, (v1_relat_1(k35_valued_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_25, plain, (v1_funct_1(k35_valued_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_26, plain, (v1_valued_0(k35_valued_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_27, plain, ![X56, X57, X58]:(~v1_relat_1(X56)|~v1_funct_1(X56)|~v1_valued_0(X56)|(~v1_xcmplx_0(X57)|k1_funct_1(k24_valued_1(X56,X57),X58)=k3_xcmplx_0(X57,k1_funct_1(X56,X58)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_valued_1])])])).
cnf(c_0_28, plain, (X1=k24_valued_1(k35_valued_1(X2),k5_xcmplx_0(X3))|k1_funct_1(X1,esk3_3(k35_valued_1(X2),k5_xcmplx_0(X3),X1))!=k5_xcmplx_0(k3_xcmplx_0(X3,k1_funct_1(X2,esk3_3(k35_valued_1(X2),k5_xcmplx_0(X3),X1))))|k9_xtuple_0(X1)!=k9_xtuple_0(k35_valued_1(X2))|~v1_valued_0(X2)|~v1_funct_1(X1)|~v1_funct_1(X2)|~v1_relat_1(X1)|~v1_relat_1(X2)|~v1_xcmplx_0(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26])).
cnf(c_0_29, plain, (k1_funct_1(k24_valued_1(X1,X2),X3)=k3_xcmplx_0(X2,k1_funct_1(X1,X3))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_27])).
fof(c_0_30, plain, ![X45, X46]:(((v1_relat_1(k24_valued_1(X45,X46))|(~v1_relat_1(X45)|~v1_funct_1(X45)|~v1_valued_0(X45)|~v1_xcmplx_0(X46)))&(v1_funct_1(k24_valued_1(X45,X46))|(~v1_relat_1(X45)|~v1_funct_1(X45)|~v1_valued_0(X45)|~v1_xcmplx_0(X46))))&(v1_valued_0(k24_valued_1(X45,X46))|(~v1_relat_1(X45)|~v1_funct_1(X45)|~v1_valued_0(X45)|~v1_xcmplx_0(X46)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc44_valued_1])])])).
fof(c_0_31, negated_conjecture, ~(![X1]:(v1_xcmplx_0(X1)=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v1_valued_0(X2))=>r6_pboole(k9_xtuple_0(X2),k35_valued_1(k24_valued_1(X2,X1)),k24_valued_1(k35_valued_1(X2),k5_xcmplx_0(X1)))))), inference(assume_negation,[status(cth)],[t58_number15])).
cnf(c_0_32, plain, (X1=k24_valued_1(k35_valued_1(X2),k5_xcmplx_0(X3))|k1_funct_1(X1,esk3_3(k35_valued_1(X2),k5_xcmplx_0(X3),X1))!=k5_xcmplx_0(k1_funct_1(k24_valued_1(X2,X3),esk3_3(k35_valued_1(X2),k5_xcmplx_0(X3),X1)))|k9_xtuple_0(X1)!=k9_xtuple_0(k35_valued_1(X2))|~v1_valued_0(X2)|~v1_funct_1(X1)|~v1_funct_1(X2)|~v1_relat_1(X1)|~v1_relat_1(X2)|~v1_xcmplx_0(X3)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_33, plain, (v1_relat_1(k24_valued_1(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_34, plain, (v1_funct_1(k24_valued_1(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_35, plain, (v1_valued_0(k24_valued_1(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
fof(c_0_36, negated_conjecture, (v1_xcmplx_0(esk1_0)&(((v1_relat_1(esk2_0)&v1_funct_1(esk2_0))&v1_valued_0(esk2_0))&~r6_pboole(k9_xtuple_0(esk2_0),k35_valued_1(k24_valued_1(esk2_0,esk1_0)),k24_valued_1(k35_valued_1(esk2_0),k5_xcmplx_0(esk1_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
cnf(c_0_37, plain, (X1=k24_valued_1(k35_valued_1(X2),k5_xcmplx_0(X3))|k1_funct_1(X1,esk3_3(k35_valued_1(X2),k5_xcmplx_0(X3),X1))!=k1_funct_1(k35_valued_1(k24_valued_1(X2,X3)),esk3_3(k35_valued_1(X2),k5_xcmplx_0(X3),X1))|k9_xtuple_0(X1)!=k9_xtuple_0(k35_valued_1(X2))|~v1_valued_0(X2)|~v1_funct_1(X1)|~v1_funct_1(X2)|~v1_relat_1(X1)|~v1_relat_1(X2)|~v1_xcmplx_0(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_17]), c_0_33]), c_0_34]), c_0_35])).
fof(c_0_38, plain, ![X49, X50, X51]:((~r6_pboole(X49,X50,X51)|X50=X51|(~v1_relat_1(X50)|~v4_relat_1(X50,X49)|~v1_funct_1(X50)|~v1_partfun1(X50,X49)|~v1_relat_1(X51)|~v4_relat_1(X51,X49)|~v1_funct_1(X51)|~v1_partfun1(X51,X49)))&(X50!=X51|r6_pboole(X49,X50,X51)|(~v1_relat_1(X50)|~v4_relat_1(X50,X49)|~v1_funct_1(X50)|~v1_partfun1(X50,X49)|~v1_relat_1(X51)|~v4_relat_1(X51,X49)|~v1_funct_1(X51)|~v1_partfun1(X51,X49)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r6_pboole])])])).
cnf(c_0_39, negated_conjecture, (~r6_pboole(k9_xtuple_0(esk2_0),k35_valued_1(k24_valued_1(esk2_0,esk1_0)),k24_valued_1(k35_valued_1(esk2_0),k5_xcmplx_0(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_40, plain, (k24_valued_1(k35_valued_1(X1),k5_xcmplx_0(X2))=k35_valued_1(k24_valued_1(X1,X2))|k9_xtuple_0(k35_valued_1(k24_valued_1(X1,X2)))!=k9_xtuple_0(k35_valued_1(X1))|~v1_valued_0(X1)|~v1_funct_1(k35_valued_1(k24_valued_1(X1,X2)))|~v1_funct_1(X1)|~v1_relat_1(k35_valued_1(k24_valued_1(X1,X2)))|~v1_relat_1(X1)|~v1_xcmplx_0(X2)), inference(er,[status(thm)],[c_0_37])).
cnf(c_0_41, negated_conjecture, (v1_valued_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_42, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_43, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_44, negated_conjecture, (v1_xcmplx_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_45, plain, (r6_pboole(X3,X1,X2)|X1!=X2|~v1_relat_1(X1)|~v4_relat_1(X1,X3)|~v1_funct_1(X1)|~v1_partfun1(X1,X3)|~v1_relat_1(X2)|~v4_relat_1(X2,X3)|~v1_funct_1(X2)|~v1_partfun1(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_38])).
fof(c_0_46, plain, ![X44]:((((v1_relat_1(k35_valued_1(X44))|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v1_valued_0(X44)))&(v1_funct_1(k35_valued_1(X44))|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v1_valued_0(X44))))&(v1_partfun1(k35_valued_1(X44),k9_xtuple_0(X44))|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v1_valued_0(X44))))&(v1_valued_0(k35_valued_1(X44))|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v1_valued_0(X44)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc20_finseq_9])])])).
cnf(c_0_47, plain, (k9_xtuple_0(X1)=k9_xtuple_0(X2)|X1!=k24_valued_1(X2,X3)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_xcmplx_0(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_valued_0(X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_48, negated_conjecture, (k9_xtuple_0(k35_valued_1(k24_valued_1(esk2_0,esk1_0)))!=k9_xtuple_0(k35_valued_1(esk2_0))|~r6_pboole(k9_xtuple_0(esk2_0),k35_valued_1(k24_valued_1(esk2_0,esk1_0)),k35_valued_1(k24_valued_1(esk2_0,esk1_0)))|~v1_funct_1(k35_valued_1(k24_valued_1(esk2_0,esk1_0)))|~v1_relat_1(k35_valued_1(k24_valued_1(esk2_0,esk1_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_39, c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_49, plain, (r6_pboole(X1,X2,X2)|~v1_partfun1(X2,X1)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_relat_1(X2)), inference(er,[status(thm)],[c_0_45])).
cnf(c_0_50, plain, (v1_partfun1(k35_valued_1(X1),k9_xtuple_0(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_51, plain, (k9_xtuple_0(k24_valued_1(X1,X2))=k9_xtuple_0(X1)|~v1_valued_0(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v1_xcmplx_0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_47]), c_0_33]), c_0_34])).
cnf(c_0_52, negated_conjecture, (k9_xtuple_0(k35_valued_1(k24_valued_1(esk2_0,esk1_0)))!=k9_xtuple_0(k35_valued_1(esk2_0))|~v1_partfun1(k35_valued_1(k24_valued_1(esk2_0,esk1_0)),k9_xtuple_0(esk2_0))|~v4_relat_1(k35_valued_1(k24_valued_1(esk2_0,esk1_0)),k9_xtuple_0(esk2_0))|~v1_funct_1(k35_valued_1(k24_valued_1(esk2_0,esk1_0)))|~v1_relat_1(k35_valued_1(k24_valued_1(esk2_0,esk1_0)))), inference(spm,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_53, plain, (v1_partfun1(k35_valued_1(k24_valued_1(X1,X2)),k9_xtuple_0(X1))|~v1_valued_0(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v1_xcmplx_0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_33]), c_0_34]), c_0_35])).
cnf(c_0_54, plain, (v4_relat_1(k35_valued_1(X1),k9_xtuple_0(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_55, plain, ![X38, X39, X40]:(((k9_xtuple_0(X39)=k9_xtuple_0(X38)|X39!=k35_valued_1(X38)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v1_valued_0(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v1_valued_0(X38)))&(~r2_hidden(X40,k9_xtuple_0(X39))|k1_funct_1(X39,X40)=k5_xcmplx_0(k1_funct_1(X38,X40))|X39!=k35_valued_1(X38)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v1_valued_0(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v1_valued_0(X38))))&((r2_hidden(esk4_2(X38,X39),k9_xtuple_0(X39))|k9_xtuple_0(X39)!=k9_xtuple_0(X38)|X39=k35_valued_1(X38)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v1_valued_0(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v1_valued_0(X38)))&(k1_funct_1(X39,esk4_2(X38,X39))!=k5_xcmplx_0(k1_funct_1(X38,esk4_2(X38,X39)))|k9_xtuple_0(X39)!=k9_xtuple_0(X38)|X39=k35_valued_1(X38)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v1_valued_0(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v1_valued_0(X38))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_valued_1])])])])])).
cnf(c_0_56, negated_conjecture, (k9_xtuple_0(k35_valued_1(k24_valued_1(esk2_0,esk1_0)))!=k9_xtuple_0(k35_valued_1(esk2_0))|~v4_relat_1(k35_valued_1(k24_valued_1(esk2_0,esk1_0)),k9_xtuple_0(esk2_0))|~v1_funct_1(k35_valued_1(k24_valued_1(esk2_0,esk1_0)))|~v1_relat_1(k35_valued_1(k24_valued_1(esk2_0,esk1_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_52, c_0_53]), c_0_41]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_57, plain, (v4_relat_1(k35_valued_1(k24_valued_1(X1,X2)),k9_xtuple_0(X1))|~v1_valued_0(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v1_xcmplx_0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_51]), c_0_33]), c_0_34]), c_0_35])).
cnf(c_0_58, plain, (k9_xtuple_0(X1)=k9_xtuple_0(X2)|X1!=k35_valued_1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_valued_0(X2)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_59, negated_conjecture, (k9_xtuple_0(k35_valued_1(k24_valued_1(esk2_0,esk1_0)))!=k9_xtuple_0(k35_valued_1(esk2_0))|~v1_funct_1(k35_valued_1(k24_valued_1(esk2_0,esk1_0)))|~v1_relat_1(k35_valued_1(k24_valued_1(esk2_0,esk1_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_41]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_60, plain, (k9_xtuple_0(k35_valued_1(X1))=k9_xtuple_0(X1)|~v1_valued_0(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_58]), c_0_24]), c_0_25]), c_0_26])).
cnf(c_0_61, negated_conjecture, (k9_xtuple_0(k24_valued_1(esk2_0,esk1_0))!=k9_xtuple_0(k35_valued_1(esk2_0))|~v1_valued_0(k24_valued_1(esk2_0,esk1_0))|~v1_funct_1(k24_valued_1(esk2_0,esk1_0))|~v1_relat_1(k24_valued_1(esk2_0,esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_24]), c_0_25])).
cnf(c_0_62, negated_conjecture, (k9_xtuple_0(k35_valued_1(esk2_0))!=k9_xtuple_0(esk2_0)|~v1_valued_0(k24_valued_1(esk2_0,esk1_0))|~v1_funct_1(k24_valued_1(esk2_0,esk1_0))|~v1_relat_1(k24_valued_1(esk2_0,esk1_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_61, c_0_51]), c_0_41]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_63, negated_conjecture, (k9_xtuple_0(k35_valued_1(esk2_0))!=k9_xtuple_0(esk2_0)|~v1_funct_1(k24_valued_1(esk2_0,esk1_0))|~v1_relat_1(k24_valued_1(esk2_0,esk1_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_62, c_0_35]), c_0_41]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_64, negated_conjecture, (k9_xtuple_0(k35_valued_1(esk2_0))!=k9_xtuple_0(esk2_0)|~v1_relat_1(k24_valued_1(esk2_0,esk1_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_63, c_0_34]), c_0_41]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_65, negated_conjecture, (k9_xtuple_0(k35_valued_1(esk2_0))!=k9_xtuple_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_64, c_0_33]), c_0_41]), c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_66, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_60]), c_0_41]), c_0_42]), c_0_43])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 67
# Proof object clause steps            : 42
# Proof object formula steps           : 25
# Proof object conjectures             : 18
# Proof object clause conjectures      : 15
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 22
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 17
# Proof object simplifying inferences  : 63
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 31
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 31
# Processed clauses                    : 26486
# ...of these trivial                  : 0
# ...subsumed                          : 1659
# ...remaining for further processing  : 24827
# Other redundant clauses eliminated   : 5
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1002
# Backward-rewritten                   : 0
# Generated clauses                    : 321129
# ...of the previous two non-trivial   : 321115
# Contextual simplify-reflections      : 3410
# Paramodulations                      : 320822
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 307
# Propositional unsat checks           : 4
#    Propositional check models        : 4
#    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       : 2.508
#    Propositional solver time         : 0.045
#    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  : 23794
#    Positive orientable unit clauses  : 4
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 23788
# Current number of unprocessed clauses: 294686
# ...number of literals in the above   : 3118721
# Current number of archived formulas  : 0
# Current number of archived clauses   : 1028
# Clause-clause subsumption calls (NU) : 248150315
# Rec. Clause-clause subsumption calls : 71755851
# Non-unit clause-clause subsumptions  : 6071
# Unit Clause-clause subsumption calls : 3
# 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          : 36912705

# -------------------------------------------------
# User time                : 105.888 s
# System time              : 0.492 s
# Total time               : 106.380 s
# Maximum resident set size: 3444 pages
