# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___300_C01_S5PRR_S00
# and selection function NoSelection.
#
# Preprocessing time       : 0.021 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t17_surreali, conjecture, ![X1, X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>![X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>![X4]:((r1_tarski(k6_subset_1(k2_xboole_0(k1_surreal0(X4),k2_surreal0(X4)),k1_tarski(k11_surreal0)),X1)&k5_relat_1(X2,X1)=k5_relat_1(X3,X1))=>(k5_surreali(X4,X2)=k5_surreali(X4,X3)&k6_surreali(X4,X2)=k6_surreali(X4,X3))))), file('surreali/surreali__t17_surreali', t17_surreali)).
fof(t16_surreali, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>![X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>![X4]:((r1_tarski(k6_subset_1(k2_xboole_0(k1_surreal0(X4),k2_surreal0(X4)),k1_tarski(k11_surreal0)),X1)&k5_relat_1(X2,X1)=k5_relat_1(X3,X1))=>k4_surreali(X4,X2)=k4_surreali(X4,X3)))), file('surreali/surreali__t17_surreali', t16_surreali)).
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__t17_surreali', d6_surreali)).
fof(redefinition_k2_surreal0, axiom, ![X1]:k2_surreal0(X1)=k2_xtuple_0(X1), file('surreali/surreali__t17_surreali', redefinition_k2_surreal0)).
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__t17_surreali', d5_surreali)).
fof(redefinition_k1_surreal0, axiom, ![X1]:k1_surreal0(X1)=k1_xtuple_0(X1), file('surreali/surreali__t17_surreali', redefinition_k1_surreal0)).
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__t17_surreali', dt_k6_surreali)).
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__t17_surreali', dt_k5_surreali)).
fof(c_0_8, negated_conjecture, ~(![X1, X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>![X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>![X4]:((r1_tarski(k6_subset_1(k2_xboole_0(k1_surreal0(X4),k2_surreal0(X4)),k1_tarski(k11_surreal0)),X1)&k5_relat_1(X2,X1)=k5_relat_1(X3,X1))=>(k5_surreali(X4,X2)=k5_surreali(X4,X3)&k6_surreali(X4,X2)=k6_surreali(X4,X3)))))), inference(assume_negation,[status(cth)],[t17_surreali])).
fof(c_0_9, plain, ![X47, X48, X49, X50]:(~v1_relat_1(X48)|~v1_funct_1(X48)|(~v1_relat_1(X49)|~v1_funct_1(X49)|(~r1_tarski(k6_subset_1(k2_xboole_0(k1_surreal0(X50),k2_surreal0(X50)),k1_tarski(k11_surreal0)),X47)|k5_relat_1(X48,X47)!=k5_relat_1(X49,X47)|k4_surreali(X50,X48)=k4_surreali(X50,X49)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_surreali])])])).
fof(c_0_10, negated_conjecture, ((v1_relat_1(esk2_0)&v1_funct_1(esk2_0))&((v1_relat_1(esk3_0)&v1_funct_1(esk3_0))&((r1_tarski(k6_subset_1(k2_xboole_0(k1_surreal0(esk4_0),k2_surreal0(esk4_0)),k1_tarski(k11_surreal0)),esk1_0)&k5_relat_1(esk2_0,esk1_0)=k5_relat_1(esk3_0,esk1_0))&(k5_surreali(esk4_0,esk2_0)!=k5_surreali(esk4_0,esk3_0)|k6_surreali(esk4_0,esk2_0)!=k6_surreali(esk4_0,esk3_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
cnf(c_0_11, plain, (k4_surreali(X3,X1)=k4_surreali(X3,X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~r1_tarski(k6_subset_1(k2_xboole_0(k1_surreal0(X3),k2_surreal0(X3)),k1_tarski(k11_surreal0)),X4)|k5_relat_1(X1,X4)!=k5_relat_1(X2,X4)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_12, negated_conjecture, (r1_tarski(k6_subset_1(k2_xboole_0(k1_surreal0(esk4_0),k2_surreal0(esk4_0)),k1_tarski(k11_surreal0)),esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_13, negated_conjecture, (k4_surreali(esk4_0,X1)=k4_surreali(esk4_0,X2)|k5_relat_1(X1,esk1_0)!=k5_relat_1(X2,esk1_0)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(pm,[status(thm)],[c_0_11, c_0_12])).
fof(c_0_14, plain, ![X36, X37, X38, X39]:(((k9_xtuple_0(X38)=k4_ordinal1|X38!=k6_surreali(X36,X37)|(~v1_relat_1(X38)|~v1_funct_1(X38))|(~v1_relat_1(X37)|~v1_funct_1(X37)))&(~v7_ordinal1(X39)|k1_funct_1(X38,X39)=k2_xtuple_0(k1_funct_1(k4_surreali(X36,X37),X39))|X38!=k6_surreali(X36,X37)|(~v1_relat_1(X38)|~v1_funct_1(X38))|(~v1_relat_1(X37)|~v1_funct_1(X37))))&((v7_ordinal1(esk6_3(X36,X37,X38))|k9_xtuple_0(X38)!=k4_ordinal1|X38=k6_surreali(X36,X37)|(~v1_relat_1(X38)|~v1_funct_1(X38))|(~v1_relat_1(X37)|~v1_funct_1(X37)))&(k1_funct_1(X38,esk6_3(X36,X37,X38))!=k2_xtuple_0(k1_funct_1(k4_surreali(X36,X37),esk6_3(X36,X37,X38)))|k9_xtuple_0(X38)!=k4_ordinal1|X38=k6_surreali(X36,X37)|(~v1_relat_1(X38)|~v1_funct_1(X38))|(~v1_relat_1(X37)|~v1_funct_1(X37))))), 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])])])])])).
fof(c_0_15, plain, ![X46]:k2_surreal0(X46)=k2_xtuple_0(X46), inference(variable_rename,[status(thm)],[redefinition_k2_surreal0])).
cnf(c_0_16, negated_conjecture, (k4_surreali(esk4_0,X1)=k4_surreali(esk4_0,X2)|k5_relat_1(X3,esk1_0)!=k5_relat_1(X2,esk1_0)|k5_relat_1(X1,esk1_0)!=k5_relat_1(X3,esk1_0)|~v1_funct_1(X2)|~v1_funct_1(X3)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X1)), inference(pm,[status(thm)],[c_0_13, c_0_13])).
cnf(c_0_17, negated_conjecture, (k5_relat_1(esk2_0,esk1_0)=k5_relat_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_18, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_19, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_20, plain, (X1=k6_surreali(X2,X3)|k1_funct_1(X1,esk6_3(X2,X3,X1))!=k2_xtuple_0(k1_funct_1(k4_surreali(X2,X3),esk6_3(X2,X3,X1)))|k9_xtuple_0(X1)!=k4_ordinal1|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X3)|~v1_funct_1(X3)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_21, plain, (k2_surreal0(X1)=k2_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_22, negated_conjecture, (k4_surreali(esk4_0,esk3_0)=k4_surreali(esk4_0,X1)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X2,esk1_0)|k5_relat_1(X2,esk1_0)!=k5_relat_1(X1,esk1_0)|~v1_funct_1(X1)|~v1_funct_1(X2)|~v1_relat_1(X1)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), c_0_19])])).
cnf(c_0_23, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_24, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_25, 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_26, plain, ![X31, X32, X33, X34]:(((k9_xtuple_0(X33)=k4_ordinal1|X33!=k5_surreali(X31,X32)|(~v1_relat_1(X33)|~v1_funct_1(X33))|(~v1_relat_1(X32)|~v1_funct_1(X32)))&(~v7_ordinal1(X34)|k1_funct_1(X33,X34)=k1_xtuple_0(k1_funct_1(k4_surreali(X31,X32),X34))|X33!=k5_surreali(X31,X32)|(~v1_relat_1(X33)|~v1_funct_1(X33))|(~v1_relat_1(X32)|~v1_funct_1(X32))))&((v7_ordinal1(esk5_3(X31,X32,X33))|k9_xtuple_0(X33)!=k4_ordinal1|X33=k5_surreali(X31,X32)|(~v1_relat_1(X33)|~v1_funct_1(X33))|(~v1_relat_1(X32)|~v1_funct_1(X32)))&(k1_funct_1(X33,esk5_3(X31,X32,X33))!=k1_xtuple_0(k1_funct_1(k4_surreali(X31,X32),esk5_3(X31,X32,X33)))|k9_xtuple_0(X33)!=k4_ordinal1|X33=k5_surreali(X31,X32)|(~v1_relat_1(X33)|~v1_funct_1(X33))|(~v1_relat_1(X32)|~v1_funct_1(X32))))), 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_27, plain, ![X45]:k1_surreal0(X45)=k1_xtuple_0(X45), inference(variable_rename,[status(thm)],[redefinition_k1_surreal0])).
cnf(c_0_28, plain, (X1=k6_surreali(X2,X3)|k9_xtuple_0(X1)!=k4_ordinal1|k1_funct_1(X1,esk6_3(X2,X3,X1))!=k2_surreal0(k1_funct_1(k4_surreali(X2,X3),esk6_3(X2,X3,X1)))|~v1_relat_1(X3)|~v1_relat_1(X1)|~v1_funct_1(X3)|~v1_funct_1(X1)), inference(rw,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_29, negated_conjecture, (k4_surreali(esk4_0,esk3_0)=k4_surreali(esk4_0,X1)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X1,esk1_0)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_22]), c_0_23]), c_0_24])])).
cnf(c_0_30, plain, (k1_funct_1(X2,X1)=k2_surreal0(k1_funct_1(k4_surreali(X3,X4),X1))|X2!=k6_surreali(X3,X4)|~v1_relat_1(X4)|~v1_relat_1(X2)|~v1_funct_1(X4)|~v1_funct_1(X2)|~v7_ordinal1(X1)), inference(rw,[status(thm)],[c_0_25, c_0_21])).
cnf(c_0_31, plain, (X1=k5_surreali(X2,X3)|k1_funct_1(X1,esk5_3(X2,X3,X1))!=k1_xtuple_0(k1_funct_1(k4_surreali(X2,X3),esk5_3(X2,X3,X1)))|k9_xtuple_0(X1)!=k4_ordinal1|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X3)|~v1_funct_1(X3)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_32, plain, (k1_surreal0(X1)=k1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_33, 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_26])).
cnf(c_0_34, negated_conjecture, (X1=k6_surreali(esk4_0,esk3_0)|k2_surreal0(k1_funct_1(k4_surreali(esk4_0,X2),esk6_3(esk4_0,esk3_0,X1)))!=k1_funct_1(X1,esk6_3(esk4_0,esk3_0,X1))|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X2,esk1_0)|k9_xtuple_0(X1)!=k4_ordinal1|~v1_funct_1(X1)|~v1_funct_1(X2)|~v1_relat_1(X1)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_28, c_0_29]), c_0_18]), c_0_19])])).
cnf(c_0_35, plain, (k2_surreal0(k1_funct_1(k4_surreali(X1,X2),X3))=k1_funct_1(k6_surreali(X1,X2),X3)|~v7_ordinal1(X3)|~v1_funct_1(k6_surreali(X1,X2))|~v1_funct_1(X2)|~v1_relat_1(k6_surreali(X1,X2))|~v1_relat_1(X2)), inference(er,[status(thm)],[c_0_30])).
cnf(c_0_36, plain, (X1=k5_surreali(X2,X3)|k9_xtuple_0(X1)!=k4_ordinal1|k1_funct_1(X1,esk5_3(X2,X3,X1))!=k1_surreal0(k1_funct_1(k4_surreali(X2,X3),esk5_3(X2,X3,X1)))|~v1_relat_1(X3)|~v1_relat_1(X1)|~v1_funct_1(X3)|~v1_funct_1(X1)), inference(rw,[status(thm)],[c_0_31, c_0_32])).
cnf(c_0_37, plain, (k1_funct_1(X2,X1)=k1_surreal0(k1_funct_1(k4_surreali(X3,X4),X1))|X2!=k5_surreali(X3,X4)|~v1_relat_1(X4)|~v1_relat_1(X2)|~v1_funct_1(X4)|~v1_funct_1(X2)|~v7_ordinal1(X1)), inference(rw,[status(thm)],[c_0_33, c_0_32])).
cnf(c_0_38, negated_conjecture, (X1=k6_surreali(esk4_0,esk3_0)|k1_funct_1(k6_surreali(esk4_0,X2),esk6_3(esk4_0,esk3_0,X1))!=k1_funct_1(X1,esk6_3(esk4_0,esk3_0,X1))|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X2,esk1_0)|k9_xtuple_0(X1)!=k4_ordinal1|~v7_ordinal1(esk6_3(esk4_0,esk3_0,X1))|~v1_funct_1(k6_surreali(esk4_0,X2))|~v1_funct_1(X1)|~v1_funct_1(X2)|~v1_relat_1(k6_surreali(esk4_0,X2))|~v1_relat_1(X1)|~v1_relat_1(X2)), inference(pm,[status(thm)],[c_0_34, c_0_35])).
cnf(c_0_39, negated_conjecture, (X1=k5_surreali(esk4_0,esk3_0)|k1_surreal0(k1_funct_1(k4_surreali(esk4_0,X2),esk5_3(esk4_0,esk3_0,X1)))!=k1_funct_1(X1,esk5_3(esk4_0,esk3_0,X1))|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X2,esk1_0)|k9_xtuple_0(X1)!=k4_ordinal1|~v1_funct_1(X1)|~v1_funct_1(X2)|~v1_relat_1(X1)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_36, c_0_29]), c_0_18]), c_0_19])])).
cnf(c_0_40, plain, (k1_surreal0(k1_funct_1(k4_surreali(X1,X2),X3))=k1_funct_1(k5_surreali(X1,X2),X3)|~v7_ordinal1(X3)|~v1_funct_1(k5_surreali(X1,X2))|~v1_funct_1(X2)|~v1_relat_1(k5_surreali(X1,X2))|~v1_relat_1(X2)), inference(er,[status(thm)],[c_0_37])).
cnf(c_0_41, negated_conjecture, (k6_surreali(esk4_0,X1)=k6_surreali(esk4_0,esk3_0)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X1,esk1_0)|k9_xtuple_0(k6_surreali(esk4_0,X1))!=k4_ordinal1|~v7_ordinal1(esk6_3(esk4_0,esk3_0,k6_surreali(esk4_0,X1)))|~v1_funct_1(k6_surreali(esk4_0,X1))|~v1_funct_1(X1)|~v1_relat_1(k6_surreali(esk4_0,X1))|~v1_relat_1(X1)), inference(er,[status(thm)],[c_0_38])).
cnf(c_0_42, plain, (v7_ordinal1(esk6_3(X1,X2,X3))|X3=k6_surreali(X1,X2)|k9_xtuple_0(X3)!=k4_ordinal1|~v1_relat_1(X3)|~v1_funct_1(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_43, plain, (k9_xtuple_0(X1)=k4_ordinal1|X1!=k6_surreali(X2,X3)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X3)|~v1_funct_1(X3)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_44, negated_conjecture, (X1=k5_surreali(esk4_0,esk3_0)|k1_funct_1(k5_surreali(esk4_0,X2),esk5_3(esk4_0,esk3_0,X1))!=k1_funct_1(X1,esk5_3(esk4_0,esk3_0,X1))|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X2,esk1_0)|k9_xtuple_0(X1)!=k4_ordinal1|~v7_ordinal1(esk5_3(esk4_0,esk3_0,X1))|~v1_funct_1(k5_surreali(esk4_0,X2))|~v1_funct_1(X1)|~v1_funct_1(X2)|~v1_relat_1(k5_surreali(esk4_0,X2))|~v1_relat_1(X1)|~v1_relat_1(X2)), inference(pm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_45, negated_conjecture, (k6_surreali(esk4_0,X1)=k6_surreali(esk4_0,esk3_0)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X1,esk1_0)|k9_xtuple_0(k6_surreali(esk4_0,X1))!=k4_ordinal1|~v1_funct_1(k6_surreali(esk4_0,X1))|~v1_funct_1(X1)|~v1_relat_1(k6_surreali(esk4_0,X1))|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_41, c_0_42]), c_0_18]), c_0_19])])).
cnf(c_0_46, plain, (k9_xtuple_0(k6_surreali(X1,X2))=k4_ordinal1|~v1_funct_1(k6_surreali(X1,X2))|~v1_funct_1(X2)|~v1_relat_1(k6_surreali(X1,X2))|~v1_relat_1(X2)), inference(er,[status(thm)],[c_0_43])).
fof(c_0_47, plain, ![X43, X44]:((v1_relat_1(k6_surreali(X43,X44))|(~v1_relat_1(X44)|~v1_funct_1(X44)))&(v1_funct_1(k6_surreali(X43,X44))|(~v1_relat_1(X44)|~v1_funct_1(X44)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_surreali])])])).
cnf(c_0_48, negated_conjecture, (k5_surreali(esk4_0,X1)=k5_surreali(esk4_0,esk3_0)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X1,esk1_0)|k9_xtuple_0(k5_surreali(esk4_0,X1))!=k4_ordinal1|~v7_ordinal1(esk5_3(esk4_0,esk3_0,k5_surreali(esk4_0,X1)))|~v1_funct_1(k5_surreali(esk4_0,X1))|~v1_funct_1(X1)|~v1_relat_1(k5_surreali(esk4_0,X1))|~v1_relat_1(X1)), inference(er,[status(thm)],[c_0_44])).
cnf(c_0_49, plain, (v7_ordinal1(esk5_3(X1,X2,X3))|X3=k5_surreali(X1,X2)|k9_xtuple_0(X3)!=k4_ordinal1|~v1_relat_1(X3)|~v1_funct_1(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_50, plain, (k9_xtuple_0(X1)=k4_ordinal1|X1!=k5_surreali(X2,X3)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X3)|~v1_funct_1(X3)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_51, negated_conjecture, (k6_surreali(esk4_0,X1)=k6_surreali(esk4_0,esk3_0)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X1,esk1_0)|~v1_funct_1(k6_surreali(esk4_0,X1))|~v1_funct_1(X1)|~v1_relat_1(k6_surreali(esk4_0,X1))|~v1_relat_1(X1)), inference(pm,[status(thm)],[c_0_45, c_0_46])).
cnf(c_0_52, plain, (v1_funct_1(k6_surreali(X1,X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_53, negated_conjecture, (k5_surreali(esk4_0,X1)=k5_surreali(esk4_0,esk3_0)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X1,esk1_0)|k9_xtuple_0(k5_surreali(esk4_0,X1))!=k4_ordinal1|~v1_funct_1(k5_surreali(esk4_0,X1))|~v1_funct_1(X1)|~v1_relat_1(k5_surreali(esk4_0,X1))|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_48, c_0_49]), c_0_18]), c_0_19])])).
cnf(c_0_54, plain, (k9_xtuple_0(k5_surreali(X1,X2))=k4_ordinal1|~v1_funct_1(k5_surreali(X1,X2))|~v1_funct_1(X2)|~v1_relat_1(k5_surreali(X1,X2))|~v1_relat_1(X2)), inference(er,[status(thm)],[c_0_50])).
fof(c_0_55, plain, ![X41, X42]:((v1_relat_1(k5_surreali(X41,X42))|(~v1_relat_1(X42)|~v1_funct_1(X42)))&(v1_funct_1(k5_surreali(X41,X42))|(~v1_relat_1(X42)|~v1_funct_1(X42)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_surreali])])])).
cnf(c_0_56, negated_conjecture, (k6_surreali(esk4_0,X1)=k6_surreali(esk4_0,esk3_0)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X1,esk1_0)|~v1_funct_1(X1)|~v1_relat_1(k6_surreali(esk4_0,X1))|~v1_relat_1(X1)), inference(pm,[status(thm)],[c_0_51, c_0_52])).
cnf(c_0_57, plain, (v1_relat_1(k6_surreali(X1,X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_58, negated_conjecture, (k5_surreali(esk4_0,X1)=k5_surreali(esk4_0,esk3_0)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X1,esk1_0)|~v1_funct_1(k5_surreali(esk4_0,X1))|~v1_funct_1(X1)|~v1_relat_1(k5_surreali(esk4_0,X1))|~v1_relat_1(X1)), inference(pm,[status(thm)],[c_0_53, c_0_54])).
cnf(c_0_59, plain, (v1_funct_1(k5_surreali(X1,X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_60, negated_conjecture, (k5_surreali(esk4_0,esk2_0)!=k5_surreali(esk4_0,esk3_0)|k6_surreali(esk4_0,esk2_0)!=k6_surreali(esk4_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_61, negated_conjecture, (k6_surreali(esk4_0,X1)=k6_surreali(esk4_0,esk3_0)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X1,esk1_0)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(pm,[status(thm)],[c_0_56, c_0_57])).
cnf(c_0_62, negated_conjecture, (k5_surreali(esk4_0,X1)=k5_surreali(esk4_0,esk3_0)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X1,esk1_0)|~v1_funct_1(X1)|~v1_relat_1(k5_surreali(esk4_0,X1))|~v1_relat_1(X1)), inference(pm,[status(thm)],[c_0_58, c_0_59])).
cnf(c_0_63, plain, (v1_relat_1(k5_surreali(X1,X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_64, negated_conjecture, (k5_surreali(esk4_0,esk3_0)!=k5_surreali(esk4_0,esk2_0)|k6_surreali(esk4_0,X1)!=k6_surreali(esk4_0,esk2_0)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X1,esk1_0)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(pm,[status(thm)],[c_0_60, c_0_61])).
cnf(c_0_65, negated_conjecture, (k5_surreali(esk4_0,X1)=k5_surreali(esk4_0,esk3_0)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X1,esk1_0)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(pm,[status(thm)],[c_0_62, c_0_63])).
cnf(c_0_66, negated_conjecture, (k5_surreali(esk4_0,esk3_0)!=k5_surreali(esk4_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_64]), c_0_23]), c_0_24])])).
cnf(c_0_67, negated_conjecture, (k5_surreali(esk4_0,X1)=k5_surreali(esk4_0,X2)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X2,esk1_0)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X1,esk1_0)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(pm,[status(thm)],[c_0_65, c_0_65])).
cnf(c_0_68, negated_conjecture, (k5_surreali(esk4_0,X1)!=k5_surreali(esk4_0,esk2_0)|k5_relat_1(esk2_0,esk1_0)!=k5_relat_1(X1,esk1_0)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_66, c_0_67]), c_0_17]), c_0_18]), c_0_19])])).
cnf(c_0_69, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_68]), c_0_23]), c_0_24])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 70
# Proof object clause steps            : 53
# Proof object formula steps           : 17
# Proof object conjectures             : 33
# Proof object clause conjectures      : 30
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 22
# Proof object initial formulas used   : 8
# Proof object generating inferences   : 27
# Proof object simplifying inferences  : 32
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 8
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 22
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 20
# Processed clauses                    : 121
# ...of these trivial                  : 5
# ...subsumed                          : 47
# ...remaining for further processing  : 69
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 15
# Backward-rewritten                   : 1
# Generated clauses                    : 778
# ...of the previous two non-trivial   : 762
# Contextual simplify-reflections      : 0
# Paramodulations                      : 749
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 29
# 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  : 53
#    Positive orientable unit clauses  : 11
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 41
# Current number of unprocessed clauses: 651
# ...number of literals in the above   : 8984
# Current number of archived formulas  : 0
# Current number of archived clauses   : 18
# Clause-clause subsumption calls (NU) : 606
# Rec. Clause-clause subsumption calls : 93
# Non-unit clause-clause subsumptions  : 56
# Unit Clause-clause subsumption calls : 64
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 5
# BW rewrite match successes           : 5
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 21411

# -------------------------------------------------
# User time                : 0.048 s
# System time              : 0.000 s
# Total time               : 0.048 s
# Maximum resident set size: 3604 pages
