# 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(d4_surreali, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>![X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>(X3=k4_surreali(X1,X2)<=>((k9_xtuple_0(X3)=k4_ordinal1&k1_funct_1(X3,k5_numbers)=k1_surrealo)&![X4]:(v7_ordinal1(X4)=>((v1_xtuple_0(k1_funct_1(X3,X4))&k1_xtuple_0(k1_funct_1(X3,k1_nat_1(X4,np__1)))=k2_xboole_0(k2_xboole_0(k1_surreal0(k1_funct_1(X3,X4)),k3_surreali(k1_surreal0(k1_funct_1(X3,X4)),X1,k2_surreal0(X1),X2)),k3_surreali(k2_surreal0(k1_funct_1(X3,X4)),X1,k1_surreal0(X1),X2)))&k2_xtuple_0(k1_funct_1(X3,k1_nat_1(X4,np__1)))=k2_xboole_0(k2_xboole_0(k2_surreal0(k1_funct_1(X3,X4)),k3_surreali(k1_surreal0(k1_funct_1(X3,X4)),X1,k1_surreal0(X1),X2)),k3_surreali(k2_surreal0(k1_funct_1(X3,X4)),X1,k2_surreal0(X1),X2)))))))), file('surreali/surreali__t6_surreali', d4_surreali)).
fof(redefinition_k2_surreal0, axiom, ![X1]:k2_surreal0(X1)=k2_xtuple_0(X1), file('surreali/surreali__t6_surreali', redefinition_k2_surreal0)).
fof(d6_surreali, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>![X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>(X3=k6_surreali(X1,X2)<=>(k9_xtuple_0(X3)=k4_ordinal1&![X4]:(v7_ordinal1(X4)=>k1_funct_1(X3,X4)=k2_xtuple_0(k1_funct_1(k4_surreali(X1,X2),X4))))))), file('surreali/surreali__t6_surreali', d6_surreali)).
fof(dt_k4_surreali, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>(v1_relat_1(k4_surreali(X1,X2))&v1_funct_1(k4_surreali(X1,X2)))), file('surreali/surreali__t6_surreali', dt_k4_surreali)).
fof(dt_k6_surreali, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>(v1_relat_1(k6_surreali(X1,X2))&v1_funct_1(k6_surreali(X1,X2)))), file('surreali/surreali__t6_surreali', dt_k6_surreali)).
fof(d5_surreali, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>![X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>(X3=k5_surreali(X1,X2)<=>(k9_xtuple_0(X3)=k4_ordinal1&![X4]:(v7_ordinal1(X4)=>k1_funct_1(X3,X4)=k1_xtuple_0(k1_funct_1(k4_surreali(X1,X2),X4))))))), file('surreali/surreali__t6_surreali', d5_surreali)).
fof(redefinition_k1_surreal0, axiom, ![X1]:k1_surreal0(X1)=k1_xtuple_0(X1), file('surreali/surreali__t6_surreali', redefinition_k1_surreal0)).
fof(dt_k5_surreali, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>(v1_relat_1(k5_surreali(X1,X2))&v1_funct_1(k5_surreali(X1,X2)))), file('surreali/surreali__t6_surreali', dt_k5_surreali)).
fof(t6_surreali, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2, X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>(k1_funct_1(k5_surreali(X2,X3),k1_nat_1(X1,np__1))=k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreali(X2,X3),X1),k3_surreali(k1_funct_1(k5_surreali(X2,X3),X1),X2,k2_surreal0(X2),X3)),k3_surreali(k1_funct_1(k6_surreali(X2,X3),X1),X2,k1_surreal0(X2),X3))&k1_funct_1(k6_surreali(X2,X3),k1_nat_1(X1,np__1))=k2_xboole_0(k2_xboole_0(k1_funct_1(k6_surreali(X2,X3),X1),k3_surreali(k1_funct_1(k5_surreali(X2,X3),X1),X2,k1_surreal0(X2),X3)),k3_surreali(k1_funct_1(k6_surreali(X2,X3),X1),X2,k2_surreal0(X2),X3))))), file('surreali/surreali__t6_surreali', t6_surreali)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('surreali/surreali__t6_surreali', cc8_ordinal1)).
fof(dt_k1_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&m1_subset_1(X2,k4_ordinal1))=>m1_subset_1(k1_nat_1(X1,X2),k4_ordinal1)), file('surreali/surreali__t6_surreali', dt_k1_nat_1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('surreali/surreali__t6_surreali', spc1_numerals)).
fof(c_0_12, plain, ![X35, X36, X37, X38]:((((k9_xtuple_0(X37)=k4_ordinal1|X37!=k4_surreali(X35,X36)|(~v1_relat_1(X37)|~v1_funct_1(X37))|(~v1_relat_1(X36)|~v1_funct_1(X36)))&(k1_funct_1(X37,k5_numbers)=k1_surrealo|X37!=k4_surreali(X35,X36)|(~v1_relat_1(X37)|~v1_funct_1(X37))|(~v1_relat_1(X36)|~v1_funct_1(X36))))&(((v1_xtuple_0(k1_funct_1(X37,X38))|~v7_ordinal1(X38)|X37!=k4_surreali(X35,X36)|(~v1_relat_1(X37)|~v1_funct_1(X37))|(~v1_relat_1(X36)|~v1_funct_1(X36)))&(k1_xtuple_0(k1_funct_1(X37,k1_nat_1(X38,np__1)))=k2_xboole_0(k2_xboole_0(k1_surreal0(k1_funct_1(X37,X38)),k3_surreali(k1_surreal0(k1_funct_1(X37,X38)),X35,k2_surreal0(X35),X36)),k3_surreali(k2_surreal0(k1_funct_1(X37,X38)),X35,k1_surreal0(X35),X36))|~v7_ordinal1(X38)|X37!=k4_surreali(X35,X36)|(~v1_relat_1(X37)|~v1_funct_1(X37))|(~v1_relat_1(X36)|~v1_funct_1(X36))))&(k2_xtuple_0(k1_funct_1(X37,k1_nat_1(X38,np__1)))=k2_xboole_0(k2_xboole_0(k2_surreal0(k1_funct_1(X37,X38)),k3_surreali(k1_surreal0(k1_funct_1(X37,X38)),X35,k1_surreal0(X35),X36)),k3_surreali(k2_surreal0(k1_funct_1(X37,X38)),X35,k2_surreal0(X35),X36))|~v7_ordinal1(X38)|X37!=k4_surreali(X35,X36)|(~v1_relat_1(X37)|~v1_funct_1(X37))|(~v1_relat_1(X36)|~v1_funct_1(X36)))))&((v7_ordinal1(esk4_3(X35,X36,X37))|(k9_xtuple_0(X37)!=k4_ordinal1|k1_funct_1(X37,k5_numbers)!=k1_surrealo)|X37=k4_surreali(X35,X36)|(~v1_relat_1(X37)|~v1_funct_1(X37))|(~v1_relat_1(X36)|~v1_funct_1(X36)))&(~v1_xtuple_0(k1_funct_1(X37,esk4_3(X35,X36,X37)))|k1_xtuple_0(k1_funct_1(X37,k1_nat_1(esk4_3(X35,X36,X37),np__1)))!=k2_xboole_0(k2_xboole_0(k1_surreal0(k1_funct_1(X37,esk4_3(X35,X36,X37))),k3_surreali(k1_surreal0(k1_funct_1(X37,esk4_3(X35,X36,X37))),X35,k2_surreal0(X35),X36)),k3_surreali(k2_surreal0(k1_funct_1(X37,esk4_3(X35,X36,X37))),X35,k1_surreal0(X35),X36))|k2_xtuple_0(k1_funct_1(X37,k1_nat_1(esk4_3(X35,X36,X37),np__1)))!=k2_xboole_0(k2_xboole_0(k2_surreal0(k1_funct_1(X37,esk4_3(X35,X36,X37))),k3_surreali(k1_surreal0(k1_funct_1(X37,esk4_3(X35,X36,X37))),X35,k1_surreal0(X35),X36)),k3_surreali(k2_surreal0(k1_funct_1(X37,esk4_3(X35,X36,X37))),X35,k2_surreal0(X35),X36))|(k9_xtuple_0(X37)!=k4_ordinal1|k1_funct_1(X37,k5_numbers)!=k1_surrealo)|X37=k4_surreali(X35,X36)|(~v1_relat_1(X37)|~v1_funct_1(X37))|(~v1_relat_1(X36)|~v1_funct_1(X36))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_surreali])])])])])).
fof(c_0_13, plain, ![X59]:k2_surreal0(X59)=k2_xtuple_0(X59), inference(variable_rename,[status(thm)],[redefinition_k2_surreal0])).
fof(c_0_14, plain, ![X45, X46, X47, X48]:(((k9_xtuple_0(X47)=k4_ordinal1|X47!=k6_surreali(X45,X46)|(~v1_relat_1(X47)|~v1_funct_1(X47))|(~v1_relat_1(X46)|~v1_funct_1(X46)))&(~v7_ordinal1(X48)|k1_funct_1(X47,X48)=k2_xtuple_0(k1_funct_1(k4_surreali(X45,X46),X48))|X47!=k6_surreali(X45,X46)|(~v1_relat_1(X47)|~v1_funct_1(X47))|(~v1_relat_1(X46)|~v1_funct_1(X46))))&((v7_ordinal1(esk6_3(X45,X46,X47))|k9_xtuple_0(X47)!=k4_ordinal1|X47=k6_surreali(X45,X46)|(~v1_relat_1(X47)|~v1_funct_1(X47))|(~v1_relat_1(X46)|~v1_funct_1(X46)))&(k1_funct_1(X47,esk6_3(X45,X46,X47))!=k2_xtuple_0(k1_funct_1(k4_surreali(X45,X46),esk6_3(X45,X46,X47)))|k9_xtuple_0(X47)!=k4_ordinal1|X47=k6_surreali(X45,X46)|(~v1_relat_1(X47)|~v1_funct_1(X47))|(~v1_relat_1(X46)|~v1_funct_1(X46))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_surreali])])])])])).
cnf(c_0_15, plain, (k2_xtuple_0(k1_funct_1(X1,k1_nat_1(X2,np__1)))=k2_xboole_0(k2_xboole_0(k2_surreal0(k1_funct_1(X1,X2)),k3_surreali(k1_surreal0(k1_funct_1(X1,X2)),X3,k1_surreal0(X3),X4)),k3_surreali(k2_surreal0(k1_funct_1(X1,X2)),X3,k2_surreal0(X3),X4))|~v7_ordinal1(X2)|X1!=k4_surreali(X3,X4)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X4)|~v1_funct_1(X4)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_16, plain, (k2_surreal0(X1)=k2_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
fof(c_0_17, plain, ![X52, X53]:((v1_relat_1(k4_surreali(X52,X53))|(~v1_relat_1(X53)|~v1_funct_1(X53)))&(v1_funct_1(k4_surreali(X52,X53))|(~v1_relat_1(X53)|~v1_funct_1(X53)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_surreali])])])).
cnf(c_0_18, plain, (k1_funct_1(X2,X1)=k2_xtuple_0(k1_funct_1(k4_surreali(X3,X4),X1))|~v7_ordinal1(X1)|X2!=k6_surreali(X3,X4)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X4)|~v1_funct_1(X4)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_19, plain, ![X56, X57]:((v1_relat_1(k6_surreali(X56,X57))|(~v1_relat_1(X57)|~v1_funct_1(X57)))&(v1_funct_1(k6_surreali(X56,X57))|(~v1_relat_1(X57)|~v1_funct_1(X57)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_surreali])])])).
fof(c_0_20, plain, ![X40, X41, X42, X43]:(((k9_xtuple_0(X42)=k4_ordinal1|X42!=k5_surreali(X40,X41)|(~v1_relat_1(X42)|~v1_funct_1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)))&(~v7_ordinal1(X43)|k1_funct_1(X42,X43)=k1_xtuple_0(k1_funct_1(k4_surreali(X40,X41),X43))|X42!=k5_surreali(X40,X41)|(~v1_relat_1(X42)|~v1_funct_1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41))))&((v7_ordinal1(esk5_3(X40,X41,X42))|k9_xtuple_0(X42)!=k4_ordinal1|X42=k5_surreali(X40,X41)|(~v1_relat_1(X42)|~v1_funct_1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)))&(k1_funct_1(X42,esk5_3(X40,X41,X42))!=k1_xtuple_0(k1_funct_1(k4_surreali(X40,X41),esk5_3(X40,X41,X42)))|k9_xtuple_0(X42)!=k4_ordinal1|X42=k5_surreali(X40,X41)|(~v1_relat_1(X42)|~v1_funct_1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_surreali])])])])])).
fof(c_0_21, plain, ![X58]:k1_surreal0(X58)=k1_xtuple_0(X58), inference(variable_rename,[status(thm)],[redefinition_k1_surreal0])).
cnf(c_0_22, plain, (k2_surreal0(k1_funct_1(X1,k1_nat_1(X2,np__1)))=k2_xboole_0(k2_xboole_0(k2_surreal0(k1_funct_1(X1,X2)),k3_surreali(k1_surreal0(k1_funct_1(X1,X2)),X3,k1_surreal0(X3),X4)),k3_surreali(k2_surreal0(k1_funct_1(X1,X2)),X3,k2_surreal0(X3),X4))|X1!=k4_surreali(X3,X4)|~v7_ordinal1(X2)|~v1_relat_1(X4)|~v1_relat_1(X1)|~v1_funct_1(X4)|~v1_funct_1(X1)), inference(rw,[status(thm)],[c_0_15, c_0_16])).
cnf(c_0_23, plain, (v1_relat_1(k4_surreali(X1,X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_24, plain, (v1_funct_1(k4_surreali(X1,X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_25, plain, (k1_funct_1(X2,X1)=k2_surreal0(k1_funct_1(k4_surreali(X3,X4),X1))|X2!=k6_surreali(X3,X4)|~v7_ordinal1(X1)|~v1_relat_1(X4)|~v1_relat_1(X2)|~v1_funct_1(X4)|~v1_funct_1(X2)), inference(rw,[status(thm)],[c_0_18, c_0_16])).
cnf(c_0_26, plain, (v1_relat_1(k6_surreali(X1,X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_27, plain, (v1_funct_1(k6_surreali(X1,X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_28, plain, (k1_funct_1(X2,X1)=k1_xtuple_0(k1_funct_1(k4_surreali(X3,X4),X1))|~v7_ordinal1(X1)|X2!=k5_surreali(X3,X4)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X4)|~v1_funct_1(X4)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_29, plain, (k1_surreal0(X1)=k1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
fof(c_0_30, plain, ![X54, X55]:((v1_relat_1(k5_surreali(X54,X55))|(~v1_relat_1(X55)|~v1_funct_1(X55)))&(v1_funct_1(k5_surreali(X54,X55))|(~v1_relat_1(X55)|~v1_funct_1(X55)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_surreali])])])).
cnf(c_0_31, plain, (k1_xtuple_0(k1_funct_1(X1,k1_nat_1(X2,np__1)))=k2_xboole_0(k2_xboole_0(k1_surreal0(k1_funct_1(X1,X2)),k3_surreali(k1_surreal0(k1_funct_1(X1,X2)),X3,k2_surreal0(X3),X4)),k3_surreali(k2_surreal0(k1_funct_1(X1,X2)),X3,k1_surreal0(X3),X4))|~v7_ordinal1(X2)|X1!=k4_surreali(X3,X4)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X4)|~v1_funct_1(X4)), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_32, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2, X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>(k1_funct_1(k5_surreali(X2,X3),k1_nat_1(X1,np__1))=k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreali(X2,X3),X1),k3_surreali(k1_funct_1(k5_surreali(X2,X3),X1),X2,k2_surreal0(X2),X3)),k3_surreali(k1_funct_1(k6_surreali(X2,X3),X1),X2,k1_surreal0(X2),X3))&k1_funct_1(k6_surreali(X2,X3),k1_nat_1(X1,np__1))=k2_xboole_0(k2_xboole_0(k1_funct_1(k6_surreali(X2,X3),X1),k3_surreali(k1_funct_1(k5_surreali(X2,X3),X1),X2,k1_surreal0(X2),X3)),k3_surreali(k1_funct_1(k6_surreali(X2,X3),X1),X2,k2_surreal0(X2),X3)))))), inference(assume_negation,[status(cth)],[t6_surreali])).
cnf(c_0_33, plain, (k2_xboole_0(k2_xboole_0(k2_surreal0(k1_funct_1(k4_surreali(X1,X2),X3)),k3_surreali(k1_surreal0(k1_funct_1(k4_surreali(X1,X2),X3)),X1,k1_surreal0(X1),X2)),k3_surreali(k2_surreal0(k1_funct_1(k4_surreali(X1,X2),X3)),X1,k2_surreal0(X1),X2))=k2_surreal0(k1_funct_1(k4_surreali(X1,X2),k1_nat_1(X3,np__1)))|~v1_funct_1(X2)|~v1_relat_1(X2)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_22]), c_0_23]), c_0_24])).
cnf(c_0_34, plain, (k2_surreal0(k1_funct_1(k4_surreali(X1,X2),X3))=k1_funct_1(k6_surreali(X1,X2),X3)|~v1_funct_1(X2)|~v1_relat_1(X2)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_25]), c_0_26]), c_0_27])).
cnf(c_0_35, plain, (k1_funct_1(X2,X1)=k1_surreal0(k1_funct_1(k4_surreali(X3,X4),X1))|X2!=k5_surreali(X3,X4)|~v7_ordinal1(X1)|~v1_relat_1(X4)|~v1_relat_1(X2)|~v1_funct_1(X4)|~v1_funct_1(X2)), inference(rw,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_36, plain, (v1_relat_1(k5_surreali(X1,X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_37, plain, (v1_funct_1(k5_surreali(X1,X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_38, plain, (k1_surreal0(k1_funct_1(X1,k1_nat_1(X2,np__1)))=k2_xboole_0(k2_xboole_0(k1_surreal0(k1_funct_1(X1,X2)),k3_surreali(k1_surreal0(k1_funct_1(X1,X2)),X3,k2_surreal0(X3),X4)),k3_surreali(k2_surreal0(k1_funct_1(X1,X2)),X3,k1_surreal0(X3),X4))|X1!=k4_surreali(X3,X4)|~v7_ordinal1(X2)|~v1_relat_1(X4)|~v1_relat_1(X1)|~v1_funct_1(X4)|~v1_funct_1(X1)), inference(rw,[status(thm)],[c_0_31, c_0_29])).
fof(c_0_39, negated_conjecture, (v7_ordinal1(esk1_0)&((v1_relat_1(esk3_0)&v1_funct_1(esk3_0))&(k1_funct_1(k5_surreali(esk2_0,esk3_0),k1_nat_1(esk1_0,np__1))!=k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreali(esk2_0,esk3_0),esk1_0),k3_surreali(k1_funct_1(k5_surreali(esk2_0,esk3_0),esk1_0),esk2_0,k2_surreal0(esk2_0),esk3_0)),k3_surreali(k1_funct_1(k6_surreali(esk2_0,esk3_0),esk1_0),esk2_0,k1_surreal0(esk2_0),esk3_0))|k1_funct_1(k6_surreali(esk2_0,esk3_0),k1_nat_1(esk1_0,np__1))!=k2_xboole_0(k2_xboole_0(k1_funct_1(k6_surreali(esk2_0,esk3_0),esk1_0),k3_surreali(k1_funct_1(k5_surreali(esk2_0,esk3_0),esk1_0),esk2_0,k1_surreal0(esk2_0),esk3_0)),k3_surreali(k1_funct_1(k6_surreali(esk2_0,esk3_0),esk1_0),esk2_0,k2_surreal0(esk2_0),esk3_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])).
cnf(c_0_40, plain, (k2_xboole_0(k2_xboole_0(k1_funct_1(k6_surreali(X1,X2),X3),k3_surreali(k1_surreal0(k1_funct_1(k4_surreali(X1,X2),X3)),X1,k1_surreal0(X1),X2)),k3_surreali(k1_funct_1(k6_surreali(X1,X2),X3),X1,k2_surreal0(X1),X2))=k2_surreal0(k1_funct_1(k4_surreali(X1,X2),k1_nat_1(X3,np__1)))|~v1_funct_1(X2)|~v1_relat_1(X2)|~v7_ordinal1(X3)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_41, plain, (k1_surreal0(k1_funct_1(k4_surreali(X1,X2),X3))=k1_funct_1(k5_surreali(X1,X2),X3)|~v1_funct_1(X2)|~v1_relat_1(X2)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_35]), c_0_36]), c_0_37])).
cnf(c_0_42, plain, (k2_xboole_0(k2_xboole_0(k1_surreal0(k1_funct_1(k4_surreali(X1,X2),X3)),k3_surreali(k1_surreal0(k1_funct_1(k4_surreali(X1,X2),X3)),X1,k2_surreal0(X1),X2)),k3_surreali(k2_surreal0(k1_funct_1(k4_surreali(X1,X2),X3)),X1,k1_surreal0(X1),X2))=k1_surreal0(k1_funct_1(k4_surreali(X1,X2),k1_nat_1(X3,np__1)))|~v1_funct_1(X2)|~v1_relat_1(X2)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_38]), c_0_23]), c_0_24])).
cnf(c_0_43, negated_conjecture, (k1_funct_1(k5_surreali(esk2_0,esk3_0),k1_nat_1(esk1_0,np__1))!=k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreali(esk2_0,esk3_0),esk1_0),k3_surreali(k1_funct_1(k5_surreali(esk2_0,esk3_0),esk1_0),esk2_0,k2_surreal0(esk2_0),esk3_0)),k3_surreali(k1_funct_1(k6_surreali(esk2_0,esk3_0),esk1_0),esk2_0,k1_surreal0(esk2_0),esk3_0))|k1_funct_1(k6_surreali(esk2_0,esk3_0),k1_nat_1(esk1_0,np__1))!=k2_xboole_0(k2_xboole_0(k1_funct_1(k6_surreali(esk2_0,esk3_0),esk1_0),k3_surreali(k1_funct_1(k5_surreali(esk2_0,esk3_0),esk1_0),esk2_0,k1_surreal0(esk2_0),esk3_0)),k3_surreali(k1_funct_1(k6_surreali(esk2_0,esk3_0),esk1_0),esk2_0,k2_surreal0(esk2_0),esk3_0))), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_44, plain, (k2_xboole_0(k2_xboole_0(k1_funct_1(k6_surreali(X1,X2),X3),k3_surreali(k1_funct_1(k5_surreali(X1,X2),X3),X1,k1_surreal0(X1),X2)),k3_surreali(k1_funct_1(k6_surreali(X1,X2),X3),X1,k2_surreal0(X1),X2))=k2_surreal0(k1_funct_1(k4_surreali(X1,X2),k1_nat_1(X3,np__1)))|~v1_funct_1(X2)|~v1_relat_1(X2)|~v7_ordinal1(X3)), inference(spm,[status(thm)],[c_0_40, c_0_41])).
cnf(c_0_45, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_46, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_47, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_48, plain, (k2_xboole_0(k2_xboole_0(k1_surreal0(k1_funct_1(k4_surreali(X1,X2),X3)),k3_surreali(k1_surreal0(k1_funct_1(k4_surreali(X1,X2),X3)),X1,k2_surreal0(X1),X2)),k3_surreali(k1_funct_1(k6_surreali(X1,X2),X3),X1,k1_surreal0(X1),X2))=k1_surreal0(k1_funct_1(k4_surreali(X1,X2),k1_nat_1(X3,np__1)))|~v1_funct_1(X2)|~v1_relat_1(X2)|~v7_ordinal1(X3)), inference(spm,[status(thm)],[c_0_42, c_0_34])).
cnf(c_0_49, negated_conjecture, (k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreali(esk2_0,esk3_0),esk1_0),k3_surreali(k1_funct_1(k5_surreali(esk2_0,esk3_0),esk1_0),esk2_0,k2_surreal0(esk2_0),esk3_0)),k3_surreali(k1_funct_1(k6_surreali(esk2_0,esk3_0),esk1_0),esk2_0,k1_surreal0(esk2_0),esk3_0))!=k1_funct_1(k5_surreali(esk2_0,esk3_0),k1_nat_1(esk1_0,np__1))|k2_surreal0(k1_funct_1(k4_surreali(esk2_0,esk3_0),k1_nat_1(esk1_0,np__1)))!=k1_funct_1(k6_surreali(esk2_0,esk3_0),k1_nat_1(esk1_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45]), c_0_46]), c_0_47])])).
cnf(c_0_50, plain, (k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreali(X1,X2),X3),k3_surreali(k1_funct_1(k5_surreali(X1,X2),X3),X1,k2_surreal0(X1),X2)),k3_surreali(k1_funct_1(k6_surreali(X1,X2),X3),X1,k1_surreal0(X1),X2))=k1_surreal0(k1_funct_1(k4_surreali(X1,X2),k1_nat_1(X3,np__1)))|~v1_funct_1(X2)|~v1_relat_1(X2)|~v7_ordinal1(X3)), inference(spm,[status(thm)],[c_0_48, c_0_41])).
cnf(c_0_51, negated_conjecture, (k1_surreal0(k1_funct_1(k4_surreali(esk2_0,esk3_0),k1_nat_1(esk1_0,np__1)))!=k1_funct_1(k5_surreali(esk2_0,esk3_0),k1_nat_1(esk1_0,np__1))|k2_surreal0(k1_funct_1(k4_surreali(esk2_0,esk3_0),k1_nat_1(esk1_0,np__1)))!=k1_funct_1(k6_surreali(esk2_0,esk3_0),k1_nat_1(esk1_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_45]), c_0_46]), c_0_47])])).
fof(c_0_52, plain, ![X34]:(~m1_subset_1(X34,k4_ordinal1)|v7_ordinal1(X34)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_53, plain, ![X50, X51]:(~v7_ordinal1(X50)|~m1_subset_1(X51,k4_ordinal1)|m1_subset_1(k1_nat_1(X50,X51),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_nat_1])])).
cnf(c_0_54, negated_conjecture, (k1_surreal0(k1_funct_1(k4_surreali(esk2_0,esk3_0),k1_nat_1(esk1_0,np__1)))!=k1_funct_1(k5_surreali(esk2_0,esk3_0),k1_nat_1(esk1_0,np__1))|~v7_ordinal1(k1_nat_1(esk1_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_34]), c_0_45]), c_0_46])])).
cnf(c_0_55, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_56, plain, (m1_subset_1(k1_nat_1(X1,X2),k4_ordinal1)|~v7_ordinal1(X1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_57, negated_conjecture, (~v7_ordinal1(k1_nat_1(esk1_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_41]), c_0_45]), c_0_46])])).
cnf(c_0_58, plain, (v7_ordinal1(k1_nat_1(X1,X2))|~m1_subset_1(X2,k4_ordinal1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_59, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_60, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_59]), c_0_47])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 61
# Proof object clause steps            : 37
# Proof object formula steps           : 24
# Proof object conjectures             : 12
# Proof object clause conjectures      : 9
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 10
# Proof object simplifying inferences  : 33
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 31
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 29
# Processed clauses                    : 1484
# ...of these trivial                  : 0
# ...subsumed                          : 63
# ...remaining for further processing  : 1421
# Other redundant clauses eliminated   : 9
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 3446
# ...of the previous two non-trivial   : 3443
# Contextual simplify-reflections      : 711
# Paramodulations                      : 3435
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 11
# 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  : 1383
#    Positive orientable unit clauses  : 6
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 1376
# Current number of unprocessed clauses: 2017
# ...number of literals in the above   : 11155
# Current number of archived formulas  : 0
# Current number of archived clauses   : 31
# Clause-clause subsumption calls (NU) : 1040952
# Rec. Clause-clause subsumption calls : 348659
# Non-unit clause-clause subsumptions  : 774
# Unit Clause-clause subsumption calls : 18
# 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          : 135283

# -------------------------------------------------
# User time                : 0.246 s
# System time              : 0.004 s
# Total time               : 0.250 s
# Maximum resident set size: 3392 pages
