# 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       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t84_surrealc, conjecture, ![X1]:((((v1_relat_1(X1)&v5_relat_1(X1,k1_numbers))&v1_funct_1(X1))&v5_ordinal1(X1))=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v5_ordinal1(X2))=>![X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v5_ordinal1(X3))=>![X4]:(v3_ordinal1(X4)=>![X5]:(v3_ordinal1(X5)=>(r1_ordinal1(X5,X4)=>(r4_surrealc(k5_relat_1(X1,X4),k5_relat_1(X2,X4),X3,X5)<=>r4_surrealc(X1,X2,X3,X5)))))))), file('surrealc/surrealc__t84_surrealc', t84_surrealc)).
fof(fc26_relat_1, axiom, ![X1, X2, X3]:((v1_relat_1(X3)&v5_relat_1(X3,X2))=>(v1_relat_1(k5_relat_1(X3,X1))&v5_relat_1(k5_relat_1(X3,X1),X2))), file('surrealc/surrealc__t84_surrealc', fc26_relat_1)).
fof(fc8_funct_1, axiom, ![X1, X2]:((v1_relat_1(X1)&v1_funct_1(X1))=>(v1_relat_1(k5_relat_1(X1,X2))&v1_funct_1(k5_relat_1(X1,X2)))), file('surrealc/surrealc__t84_surrealc', fc8_funct_1)).
fof(d15_surrealc, axiom, ![X1]:((((v1_relat_1(X1)&v5_relat_1(X1,k1_numbers))&v1_funct_1(X1))&v5_ordinal1(X1))=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v5_ordinal1(X2))=>![X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v5_ordinal1(X3))=>![X4]:(v3_ordinal1(X4)=>(r4_surrealc(X1,X2,X3,X4)<=>![X5]:(v2_surreal0(X5)=>(X5=k1_funct_1(X3,X4)=>((k5_numbers=X4=>X5=k11_surreal0)&(k5_numbers!=X4=>(r3_surrealc(X1,X2,X3,X4,X5)&![X6]:((v2_surreal0(X6)&v2_surrealo(X6))=>(r3_surrealc(X1,X2,X3,X4,X6)=>(X6=X5|r2_tarski(k12_surreal0(X5),k12_surreal0(X6))))))))))))))), file('surrealc/surrealc__t84_surrealc', d15_surrealc)).
fof(fc5_ordinal1, axiom, ![X1, X2]:((((v1_relat_1(X1)&v1_funct_1(X1))&v5_ordinal1(X1))&v3_ordinal1(X2))=>((v1_relat_1(k5_relat_1(X1,X2))&v5_relat_1(k5_relat_1(X1,X2),k10_xtuple_0(X1)))&v5_ordinal1(k5_relat_1(X1,X2)))), file('surrealc/surrealc__t84_surrealc', fc5_ordinal1)).
fof(t83_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:((((v1_relat_1(X2)&v5_relat_1(X2,k1_numbers))&v1_funct_1(X2))&v5_ordinal1(X2))=>![X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v5_ordinal1(X3))=>![X4]:(((v1_relat_1(X4)&v1_funct_1(X4))&v5_ordinal1(X4))=>![X5]:(v3_ordinal1(X5)=>![X6]:(v3_ordinal1(X6)=>(r1_ordinal1(X5,X6)=>(r3_surrealc(X2,X3,X4,X5,X1)<=>r3_surrealc(k5_relat_1(X2,X6),k5_relat_1(X3,X6),X4,X5,X1))))))))), file('surrealc/surrealc__t84_surrealc', t83_surrealc)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('surrealc/surrealc__t84_surrealc', cc8_ordinal1)).
fof(cc1_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>(v3_ordinal1(X1)&v7_ordinal1(X1))), file('surrealc/surrealc__t84_surrealc', cc1_nat_1)).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers,k4_ordinal1), file('surrealc/surrealc__t84_surrealc', dt_k5_numbers)).
fof(c_0_9, negated_conjecture, ~(![X1]:((((v1_relat_1(X1)&v5_relat_1(X1,k1_numbers))&v1_funct_1(X1))&v5_ordinal1(X1))=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v5_ordinal1(X2))=>![X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v5_ordinal1(X3))=>![X4]:(v3_ordinal1(X4)=>![X5]:(v3_ordinal1(X5)=>(r1_ordinal1(X5,X4)=>(r4_surrealc(k5_relat_1(X1,X4),k5_relat_1(X2,X4),X3,X5)<=>r4_surrealc(X1,X2,X3,X5))))))))), inference(assume_negation,[status(cth)],[t84_surrealc])).
fof(c_0_10, plain, ![X48, X49, X50]:((v1_relat_1(k5_relat_1(X50,X48))|(~v1_relat_1(X50)|~v5_relat_1(X50,X49)))&(v5_relat_1(k5_relat_1(X50,X48),X49)|(~v1_relat_1(X50)|~v5_relat_1(X50,X49)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc26_relat_1])])])).
fof(c_0_11, negated_conjecture, ((((v1_relat_1(esk1_0)&v5_relat_1(esk1_0,k1_numbers))&v1_funct_1(esk1_0))&v5_ordinal1(esk1_0))&(((v1_relat_1(esk2_0)&v1_funct_1(esk2_0))&v5_ordinal1(esk2_0))&(((v1_relat_1(esk3_0)&v1_funct_1(esk3_0))&v5_ordinal1(esk3_0))&(v3_ordinal1(esk4_0)&(v3_ordinal1(esk5_0)&(r1_ordinal1(esk5_0,esk4_0)&((~r4_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)|~r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0))&(r4_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0))))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
fof(c_0_12, plain, ![X53, X54]:((v1_relat_1(k5_relat_1(X53,X54))|(~v1_relat_1(X53)|~v1_funct_1(X53)))&(v1_funct_1(k5_relat_1(X53,X54))|(~v1_relat_1(X53)|~v1_funct_1(X53)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_funct_1])])])).
fof(c_0_13, plain, ![X40, X41, X42, X43, X44, X45]:(((k5_numbers!=X43|X44=k11_surreal0|X44!=k1_funct_1(X42,X43)|~v2_surreal0(X44)|~r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40)))&((r3_surrealc(X40,X41,X42,X43,X44)|k5_numbers=X43|X44!=k1_funct_1(X42,X43)|~v2_surreal0(X44)|~r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40)))&(~v2_surreal0(X45)|~v2_surrealo(X45)|(~r3_surrealc(X40,X41,X42,X43,X45)|(X45=X44|r2_tarski(k12_surreal0(X44),k12_surreal0(X45))))|k5_numbers=X43|X44!=k1_funct_1(X42,X43)|~v2_surreal0(X44)|~r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40)))))&((v2_surreal0(esk6_4(X40,X41,X42,X43))|r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40)))&((esk6_4(X40,X41,X42,X43)=k1_funct_1(X42,X43)|r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40)))&(((k5_numbers!=X43|k5_numbers=X43|r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40)))&(((v2_surreal0(esk7_4(X40,X41,X42,X43))|~r3_surrealc(X40,X41,X42,X43,esk6_4(X40,X41,X42,X43))|k5_numbers=X43|r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40)))&(v2_surrealo(esk7_4(X40,X41,X42,X43))|~r3_surrealc(X40,X41,X42,X43,esk6_4(X40,X41,X42,X43))|k5_numbers=X43|r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40))))&((r3_surrealc(X40,X41,X42,X43,esk7_4(X40,X41,X42,X43))|~r3_surrealc(X40,X41,X42,X43,esk6_4(X40,X41,X42,X43))|k5_numbers=X43|r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40)))&((esk7_4(X40,X41,X42,X43)!=esk6_4(X40,X41,X42,X43)|~r3_surrealc(X40,X41,X42,X43,esk6_4(X40,X41,X42,X43))|k5_numbers=X43|r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40)))&(~r2_tarski(k12_surreal0(esk6_4(X40,X41,X42,X43)),k12_surreal0(esk7_4(X40,X41,X42,X43)))|~r3_surrealc(X40,X41,X42,X43,esk6_4(X40,X41,X42,X43))|k5_numbers=X43|r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40)))))))&((k5_numbers!=X43|esk6_4(X40,X41,X42,X43)!=k11_surreal0|r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40)))&(((v2_surreal0(esk7_4(X40,X41,X42,X43))|~r3_surrealc(X40,X41,X42,X43,esk6_4(X40,X41,X42,X43))|esk6_4(X40,X41,X42,X43)!=k11_surreal0|r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40)))&(v2_surrealo(esk7_4(X40,X41,X42,X43))|~r3_surrealc(X40,X41,X42,X43,esk6_4(X40,X41,X42,X43))|esk6_4(X40,X41,X42,X43)!=k11_surreal0|r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40))))&((r3_surrealc(X40,X41,X42,X43,esk7_4(X40,X41,X42,X43))|~r3_surrealc(X40,X41,X42,X43,esk6_4(X40,X41,X42,X43))|esk6_4(X40,X41,X42,X43)!=k11_surreal0|r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40)))&((esk7_4(X40,X41,X42,X43)!=esk6_4(X40,X41,X42,X43)|~r3_surrealc(X40,X41,X42,X43,esk6_4(X40,X41,X42,X43))|esk6_4(X40,X41,X42,X43)!=k11_surreal0|r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40)))&(~r2_tarski(k12_surreal0(esk6_4(X40,X41,X42,X43)),k12_surreal0(esk7_4(X40,X41,X42,X43)))|~r3_surrealc(X40,X41,X42,X43,esk6_4(X40,X41,X42,X43))|esk6_4(X40,X41,X42,X43)!=k11_surreal0|r4_surrealc(X40,X41,X42,X43)|~v3_ordinal1(X43)|(~v1_relat_1(X42)|~v1_funct_1(X42)|~v5_ordinal1(X42))|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v5_ordinal1(X41))|(~v1_relat_1(X40)|~v5_relat_1(X40,k1_numbers)|~v1_funct_1(X40)|~v5_ordinal1(X40))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d15_surrealc])])])])])).
cnf(c_0_14, plain, (v5_relat_1(k5_relat_1(X1,X2),X3)|~v1_relat_1(X1)|~v5_relat_1(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, negated_conjecture, (v5_relat_1(esk1_0,k1_numbers)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_16, negated_conjecture, (v1_relat_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_17, plain, (v1_relat_1(k5_relat_1(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_18, negated_conjecture, (v1_funct_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
fof(c_0_19, plain, ![X51, X52]:(((v1_relat_1(k5_relat_1(X51,X52))|(~v1_relat_1(X51)|~v1_funct_1(X51)|~v5_ordinal1(X51)|~v3_ordinal1(X52)))&(v5_relat_1(k5_relat_1(X51,X52),k10_xtuple_0(X51))|(~v1_relat_1(X51)|~v1_funct_1(X51)|~v5_ordinal1(X51)|~v3_ordinal1(X52))))&(v5_ordinal1(k5_relat_1(X51,X52))|(~v1_relat_1(X51)|~v1_funct_1(X51)|~v5_ordinal1(X51)|~v3_ordinal1(X52)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_ordinal1])])])).
cnf(c_0_20, plain, (esk6_4(X1,X2,X3,X4)=k1_funct_1(X3,X4)|r4_surrealc(X1,X2,X3,X4)|~v3_ordinal1(X4)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v5_ordinal1(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v1_relat_1(X1)|~v5_relat_1(X1,k1_numbers)|~v1_funct_1(X1)|~v5_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_21, negated_conjecture, (v5_relat_1(k5_relat_1(esk1_0,X1),k1_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])])).
cnf(c_0_22, negated_conjecture, (v1_relat_1(k5_relat_1(esk1_0,X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_16])])).
cnf(c_0_23, plain, (v5_ordinal1(k5_relat_1(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v5_ordinal1(X1)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_24, negated_conjecture, (v3_ordinal1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_25, negated_conjecture, (v5_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_26, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,X1),X2,X3,X4)=k1_funct_1(X3,X4)|r4_surrealc(k5_relat_1(esk1_0,X1),X2,X3,X4)|~v3_ordinal1(X4)|~v5_ordinal1(k5_relat_1(esk1_0,X1))|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(k5_relat_1(esk1_0,X1))|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22])])).
cnf(c_0_27, negated_conjecture, (v5_ordinal1(k5_relat_1(X1,esk4_0))|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_28, negated_conjecture, (~r4_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)|~r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_29, negated_conjecture, (esk6_4(esk1_0,X1,X2,X3)=k1_funct_1(X2,X3)|r4_surrealc(esk1_0,X1,X2,X3)|~v3_ordinal1(X3)|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_15]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_30, negated_conjecture, (v3_ordinal1(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_31, negated_conjecture, (v5_ordinal1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_32, negated_conjecture, (v5_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_33, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_34, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_35, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_36, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_37, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),X1,X2,X3)=k1_funct_1(X2,X3)|r4_surrealc(k5_relat_1(esk1_0,esk4_0),X1,X2,X3)|~v3_ordinal1(X3)|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(k5_relat_1(esk1_0,esk4_0))|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_38, plain, (v1_funct_1(k5_relat_1(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_39, plain, (v2_surreal0(esk6_4(X1,X2,X3,X4))|r4_surrealc(X1,X2,X3,X4)|~v3_ordinal1(X4)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v5_ordinal1(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v1_relat_1(X1)|~v5_relat_1(X1,k1_numbers)|~v1_funct_1(X1)|~v5_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_40, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|~r4_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_41, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),X1,X2,X3)=k1_funct_1(X2,X3)|r4_surrealc(k5_relat_1(esk1_0,esk4_0),X1,X2,X3)|~v3_ordinal1(X3)|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_18]), c_0_16])])).
cnf(c_0_42, negated_conjecture, (v1_relat_1(k5_relat_1(esk2_0,X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_34]), c_0_36])])).
cnf(c_0_43, negated_conjecture, (v2_surreal0(esk6_4(k5_relat_1(esk1_0,X1),X2,X3,X4))|r4_surrealc(k5_relat_1(esk1_0,X1),X2,X3,X4)|~v3_ordinal1(X4)|~v5_ordinal1(k5_relat_1(esk1_0,X1))|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(k5_relat_1(esk1_0,X1))|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_21]), c_0_22])])).
cnf(c_0_44, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k1_funct_1(esk3_0,esk5_0)|k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])])).
cnf(c_0_45, negated_conjecture, (v2_surreal0(esk6_4(k5_relat_1(esk1_0,esk4_0),X1,X2,X3))|r4_surrealc(k5_relat_1(esk1_0,esk4_0),X1,X2,X3)|~v3_ordinal1(X3)|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(k5_relat_1(esk1_0,esk4_0))|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), 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_27]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_46, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k1_funct_1(esk3_0,esk5_0)|k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_47, negated_conjecture, (v2_surreal0(esk6_4(k5_relat_1(esk1_0,esk4_0),X1,X2,X3))|r4_surrealc(k5_relat_1(esk1_0,esk4_0),X1,X2,X3)|~v3_ordinal1(X3)|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_38]), c_0_18]), c_0_16])])).
cnf(c_0_48, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k1_funct_1(esk3_0,esk5_0)|k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_49, plain, (r3_surrealc(X1,X2,X3,X4,X5)|k5_numbers=X4|X5!=k1_funct_1(X3,X4)|~v2_surreal0(X5)|~r4_surrealc(X1,X2,X3,X4)|~v3_ordinal1(X4)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v5_ordinal1(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v1_relat_1(X1)|~v5_relat_1(X1,k1_numbers)|~v1_funct_1(X1)|~v5_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_50, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|v2_surreal0(k1_funct_1(esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_40])).
cnf(c_0_51, plain, (k5_numbers=X1|r3_surrealc(X2,X3,X4,X1,k1_funct_1(X4,X1))|~v2_surreal0(k1_funct_1(X4,X1))|~r4_surrealc(X2,X3,X4,X1)|~v3_ordinal1(X1)|~v5_ordinal1(X4)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(X4)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v5_relat_1(X2,k1_numbers)|~v1_relat_1(X4)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(er,[status(thm)],[c_0_49])).
cnf(c_0_52, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|v2_surreal0(k1_funct_1(esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
fof(c_0_53, plain, ![X55, X56, X57, X58, X59, X60]:((~r3_surrealc(X56,X57,X58,X59,X55)|r3_surrealc(k5_relat_1(X56,X60),k5_relat_1(X57,X60),X58,X59,X55)|~r1_ordinal1(X59,X60)|~v3_ordinal1(X60)|~v3_ordinal1(X59)|(~v1_relat_1(X58)|~v1_funct_1(X58)|~v5_ordinal1(X58))|(~v1_relat_1(X57)|~v1_funct_1(X57)|~v5_ordinal1(X57))|(~v1_relat_1(X56)|~v5_relat_1(X56,k1_numbers)|~v1_funct_1(X56)|~v5_ordinal1(X56))|~v2_surreal0(X55))&(~r3_surrealc(k5_relat_1(X56,X60),k5_relat_1(X57,X60),X58,X59,X55)|r3_surrealc(X56,X57,X58,X59,X55)|~r1_ordinal1(X59,X60)|~v3_ordinal1(X60)|~v3_ordinal1(X59)|(~v1_relat_1(X58)|~v1_funct_1(X58)|~v5_ordinal1(X58))|(~v1_relat_1(X57)|~v1_funct_1(X57)|~v5_ordinal1(X57))|(~v1_relat_1(X56)|~v5_relat_1(X56,k1_numbers)|~v1_funct_1(X56)|~v5_ordinal1(X56))|~v2_surreal0(X55))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t83_surrealc])])])])).
cnf(c_0_54, negated_conjecture, (k5_numbers=X1|r3_surrealc(esk1_0,X2,X3,X1,k1_funct_1(X3,X1))|~v2_surreal0(k1_funct_1(X3,X1))|~r4_surrealc(esk1_0,X2,X3,X1)|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_15]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_55, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|v2_surreal0(k1_funct_1(esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_56, negated_conjecture, (r4_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_57, plain, (r3_surrealc(X1,X2,X3,X4,esk7_4(X1,X2,X3,X4))|k5_numbers=X4|r4_surrealc(X1,X2,X3,X4)|~r3_surrealc(X1,X2,X3,X4,esk6_4(X1,X2,X3,X4))|~v3_ordinal1(X4)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v5_ordinal1(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v1_relat_1(X1)|~v5_relat_1(X1,k1_numbers)|~v1_funct_1(X1)|~v5_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_58, plain, (r3_surrealc(k5_relat_1(X1,X6),k5_relat_1(X2,X6),X3,X4,X5)|~r3_surrealc(X1,X2,X3,X4,X5)|~r1_ordinal1(X4,X6)|~v3_ordinal1(X6)|~v3_ordinal1(X4)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v5_ordinal1(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v1_relat_1(X1)|~v5_relat_1(X1,k1_numbers)|~v1_funct_1(X1)|~v5_ordinal1(X1)|~v2_surreal0(X5)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_59, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(esk1_0,X1,esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))|~r4_surrealc(esk1_0,X1,esk3_0,esk5_0)|~v5_ordinal1(X1)|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_30]), c_0_31]), c_0_33]), c_0_35])])).
cnf(c_0_60, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)), inference(spm,[status(thm)],[c_0_40, c_0_56])).
cnf(c_0_61, plain, (v2_surreal0(esk7_4(X1,X2,X3,X4))|k5_numbers=X4|r4_surrealc(X1,X2,X3,X4)|~r3_surrealc(X1,X2,X3,X4,esk6_4(X1,X2,X3,X4))|~v3_ordinal1(X4)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v5_ordinal1(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v1_relat_1(X1)|~v5_relat_1(X1,k1_numbers)|~v1_funct_1(X1)|~v5_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_62, negated_conjecture, (k5_numbers=X1|r3_surrealc(k5_relat_1(esk1_0,X2),X3,X4,X1,esk7_4(k5_relat_1(esk1_0,X2),X3,X4,X1))|r4_surrealc(k5_relat_1(esk1_0,X2),X3,X4,X1)|~r3_surrealc(k5_relat_1(esk1_0,X2),X3,X4,X1,esk6_4(k5_relat_1(esk1_0,X2),X3,X4,X1))|~v3_ordinal1(X1)|~v5_ordinal1(k5_relat_1(esk1_0,X2))|~v5_ordinal1(X4)|~v5_ordinal1(X3)|~v1_funct_1(k5_relat_1(esk1_0,X2))|~v1_funct_1(X4)|~v1_funct_1(X3)|~v1_relat_1(X4)|~v1_relat_1(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_21]), c_0_22])])).
cnf(c_0_63, negated_conjecture, (r3_surrealc(k5_relat_1(esk1_0,X1),k5_relat_1(X2,X1),X3,X4,X5)|~r3_surrealc(esk1_0,X2,X3,X4,X5)|~v2_surreal0(X5)|~r1_ordinal1(X4,X1)|~v3_ordinal1(X1)|~v3_ordinal1(X4)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_15]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_64, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(esk1_0,esk2_0,esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_65, negated_conjecture, (k5_numbers=X1|v2_surreal0(esk7_4(k5_relat_1(esk1_0,X2),X3,X4,X1))|r4_surrealc(k5_relat_1(esk1_0,X2),X3,X4,X1)|~r3_surrealc(k5_relat_1(esk1_0,X2),X3,X4,X1,esk6_4(k5_relat_1(esk1_0,X2),X3,X4,X1))|~v3_ordinal1(X1)|~v5_ordinal1(k5_relat_1(esk1_0,X2))|~v5_ordinal1(X4)|~v5_ordinal1(X3)|~v1_funct_1(k5_relat_1(esk1_0,X2))|~v1_funct_1(X4)|~v1_funct_1(X3)|~v1_relat_1(X4)|~v1_relat_1(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_21]), c_0_22])])).
cnf(c_0_66, plain, (v2_surrealo(esk7_4(X1,X2,X3,X4))|k5_numbers=X4|r4_surrealc(X1,X2,X3,X4)|~r3_surrealc(X1,X2,X3,X4,esk6_4(X1,X2,X3,X4))|~v3_ordinal1(X4)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v5_ordinal1(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v1_relat_1(X1)|~v5_relat_1(X1,k1_numbers)|~v1_funct_1(X1)|~v5_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_67, plain, (k5_numbers=X4|r4_surrealc(X1,X2,X3,X4)|~r2_tarski(k12_surreal0(esk6_4(X1,X2,X3,X4)),k12_surreal0(esk7_4(X1,X2,X3,X4)))|~r3_surrealc(X1,X2,X3,X4,esk6_4(X1,X2,X3,X4))|~v3_ordinal1(X4)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v5_ordinal1(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v1_relat_1(X1)|~v5_relat_1(X1,k1_numbers)|~v1_funct_1(X1)|~v5_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_68, negated_conjecture, (k5_numbers=X1|r3_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1,esk7_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|r4_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1,esk6_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(k5_relat_1(esk1_0,esk4_0))|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_27]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_69, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,X1),k5_relat_1(esk2_0,X1),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))|~r1_ordinal1(esk5_0,X1)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_64]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])]), c_0_55])).
cnf(c_0_70, negated_conjecture, (r1_ordinal1(esk5_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_71, negated_conjecture, (k5_numbers=X1|v2_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|r4_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1,esk6_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(k5_relat_1(esk1_0,esk4_0))|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), 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_27]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_72, negated_conjecture, (k5_numbers=X1|v2_surrealo(esk7_4(k5_relat_1(esk1_0,X2),X3,X4,X1))|r4_surrealc(k5_relat_1(esk1_0,X2),X3,X4,X1)|~r3_surrealc(k5_relat_1(esk1_0,X2),X3,X4,X1,esk6_4(k5_relat_1(esk1_0,X2),X3,X4,X1))|~v3_ordinal1(X1)|~v5_ordinal1(k5_relat_1(esk1_0,X2))|~v5_ordinal1(X4)|~v5_ordinal1(X3)|~v1_funct_1(k5_relat_1(esk1_0,X2))|~v1_funct_1(X4)|~v1_funct_1(X3)|~v1_relat_1(X4)|~v1_relat_1(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_21]), c_0_22])])).
cnf(c_0_73, negated_conjecture, (k5_numbers=X1|r4_surrealc(k5_relat_1(esk1_0,X2),X3,X4,X1)|~r2_tarski(k12_surreal0(esk6_4(k5_relat_1(esk1_0,X2),X3,X4,X1)),k12_surreal0(esk7_4(k5_relat_1(esk1_0,X2),X3,X4,X1)))|~r3_surrealc(k5_relat_1(esk1_0,X2),X3,X4,X1,esk6_4(k5_relat_1(esk1_0,X2),X3,X4,X1))|~v3_ordinal1(X1)|~v5_ordinal1(k5_relat_1(esk1_0,X2))|~v5_ordinal1(X4)|~v5_ordinal1(X3)|~v1_funct_1(k5_relat_1(esk1_0,X2))|~v1_funct_1(X4)|~v1_funct_1(X3)|~v1_relat_1(X4)|~v1_relat_1(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_21]), c_0_22])])).
cnf(c_0_74, plain, (X1=X6|r2_tarski(k12_surreal0(X6),k12_surreal0(X1))|k5_numbers=X5|~v2_surreal0(X1)|~v2_surrealo(X1)|~r3_surrealc(X2,X3,X4,X5,X1)|X6!=k1_funct_1(X4,X5)|~v2_surreal0(X6)|~r4_surrealc(X2,X3,X4,X5)|~v3_ordinal1(X5)|~v1_relat_1(X4)|~v1_funct_1(X4)|~v5_ordinal1(X4)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v5_ordinal1(X3)|~v1_relat_1(X2)|~v5_relat_1(X2,k1_numbers)|~v1_funct_1(X2)|~v5_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_75, negated_conjecture, (k5_numbers=X1|r3_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1,esk7_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|r4_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1,esk6_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_38]), c_0_18]), c_0_16])])).
cnf(c_0_76, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_24])])).
cnf(c_0_77, negated_conjecture, (k5_numbers=X1|v2_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|r4_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1,esk6_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_38]), c_0_18]), c_0_16])])).
cnf(c_0_78, negated_conjecture, (k5_numbers=X1|v2_surrealo(esk7_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|r4_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1,esk6_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(k5_relat_1(esk1_0,esk4_0))|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_27]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_79, negated_conjecture, (k5_numbers=X1|r4_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)|~r2_tarski(k12_surreal0(esk6_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)),k12_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)))|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1,esk6_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(k5_relat_1(esk1_0,esk4_0))|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_27]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_80, plain, (X1=k1_funct_1(X2,X3)|k5_numbers=X3|r2_tarski(k12_surreal0(k1_funct_1(X2,X3)),k12_surreal0(X1))|~v2_surrealo(X1)|~r3_surrealc(X4,X5,X2,X3,X1)|~v2_surreal0(k1_funct_1(X2,X3))|~v2_surreal0(X1)|~r4_surrealc(X4,X5,X2,X3)|~v3_ordinal1(X3)|~v5_ordinal1(X2)|~v5_ordinal1(X5)|~v5_ordinal1(X4)|~v1_funct_1(X2)|~v1_funct_1(X5)|~v1_funct_1(X4)|~v5_relat_1(X4,k1_numbers)|~v1_relat_1(X2)|~v1_relat_1(X5)|~v1_relat_1(X4)), inference(er,[status(thm)],[c_0_74])).
cnf(c_0_81, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_48]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_76]), c_0_40])).
cnf(c_0_82, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_48]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_76]), c_0_40])).
cnf(c_0_83, negated_conjecture, (k5_numbers=X1|v2_surrealo(esk7_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|r4_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1,esk6_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_38]), c_0_18]), c_0_16])])).
cnf(c_0_84, negated_conjecture, (k5_numbers=X1|r4_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)|~r2_tarski(k12_surreal0(esk6_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)),k12_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)))|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1,esk6_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_38]), c_0_18]), c_0_16])])).
cnf(c_0_85, negated_conjecture, (X1=k1_funct_1(X2,X3)|k5_numbers=X3|r2_tarski(k12_surreal0(k1_funct_1(X2,X3)),k12_surreal0(X1))|~v2_surrealo(X1)|~r3_surrealc(esk1_0,X4,X2,X3,X1)|~v2_surreal0(k1_funct_1(X2,X3))|~v2_surreal0(X1)|~r4_surrealc(esk1_0,X4,X2,X3)|~v3_ordinal1(X3)|~v5_ordinal1(X2)|~v5_ordinal1(X4)|~v1_funct_1(X2)|~v1_funct_1(X4)|~v1_relat_1(X2)|~v1_relat_1(X4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_15]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_86, plain, (r3_surrealc(X1,X3,X4,X5,X6)|~r3_surrealc(k5_relat_1(X1,X2),k5_relat_1(X3,X2),X4,X5,X6)|~r1_ordinal1(X5,X2)|~v3_ordinal1(X2)|~v3_ordinal1(X5)|~v1_relat_1(X4)|~v1_funct_1(X4)|~v5_ordinal1(X4)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v5_ordinal1(X3)|~v1_relat_1(X1)|~v5_relat_1(X1,k1_numbers)|~v1_funct_1(X1)|~v5_ordinal1(X1)|~v2_surreal0(X6)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_87, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_88, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_89, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surrealo(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_48]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_76]), c_0_40])).
cnf(c_0_90, plain, (k5_numbers=X4|r4_surrealc(X1,X2,X3,X4)|esk7_4(X1,X2,X3,X4)!=esk6_4(X1,X2,X3,X4)|~r3_surrealc(X1,X2,X3,X4,esk6_4(X1,X2,X3,X4))|~v3_ordinal1(X4)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v5_ordinal1(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v1_relat_1(X1)|~v5_relat_1(X1,k1_numbers)|~v1_funct_1(X1)|~v5_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_91, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_48]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_76]), c_0_40])).
cnf(c_0_92, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|X1=k1_funct_1(esk3_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(X1))|~v2_surrealo(X1)|~r3_surrealc(esk1_0,X2,esk3_0,esk5_0,X1)|~v2_surreal0(X1)|~r4_surrealc(esk1_0,X2,esk3_0,esk5_0)|~v5_ordinal1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)), 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_85, c_0_55]), c_0_30]), c_0_31]), c_0_33]), c_0_35])])).
cnf(c_0_93, negated_conjecture, (r3_surrealc(esk1_0,X1,X2,X3,X4)|~r3_surrealc(k5_relat_1(esk1_0,X5),k5_relat_1(X1,X5),X2,X3,X4)|~v2_surreal0(X4)|~r1_ordinal1(X3,X5)|~v3_ordinal1(X3)|~v3_ordinal1(X5)|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_15]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_94, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_95, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_96, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surrealo(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_97, negated_conjecture, (k5_numbers=X1|r4_surrealc(k5_relat_1(esk1_0,X2),X3,X4,X1)|esk7_4(k5_relat_1(esk1_0,X2),X3,X4,X1)!=esk6_4(k5_relat_1(esk1_0,X2),X3,X4,X1)|~r3_surrealc(k5_relat_1(esk1_0,X2),X3,X4,X1,esk6_4(k5_relat_1(esk1_0,X2),X3,X4,X1))|~v3_ordinal1(X1)|~v5_ordinal1(k5_relat_1(esk1_0,X2))|~v5_ordinal1(X4)|~v5_ordinal1(X3)|~v1_funct_1(k5_relat_1(esk1_0,X2))|~v1_funct_1(X4)|~v1_funct_1(X3)|~v1_relat_1(X4)|~v1_relat_1(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_21]), c_0_22])])).
cnf(c_0_98, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_99, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|esk6_4(esk1_0,X1,esk3_0,esk5_0)=k1_funct_1(esk3_0,esk5_0)|X2=k1_funct_1(esk3_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(X2))|~v2_surrealo(X2)|~r3_surrealc(esk1_0,X1,esk3_0,esk5_0,X2)|~v2_surreal0(X2)|~v5_ordinal1(X1)|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_29]), c_0_30]), c_0_31]), c_0_33]), c_0_35])])).
cnf(c_0_100, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(esk1_0,esk2_0,esk3_0,esk5_0,esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_70]), c_0_30]), c_0_24]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])]), c_0_95])).
cnf(c_0_101, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surrealo(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_102, negated_conjecture, (k5_numbers=X1|r4_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)|esk7_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)!=esk6_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1,esk6_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(k5_relat_1(esk1_0,esk4_0))|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_27]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_103, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_104, negated_conjecture, (esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k1_funct_1(esk3_0,esk5_0)|k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_100]), c_0_32]), c_0_34]), c_0_36])]), c_0_95]), c_0_101])).
cnf(c_0_105, negated_conjecture, (k5_numbers=X1|r4_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)|esk7_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)!=esk6_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1)|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),X2,X3,X1,esk6_4(k5_relat_1(esk1_0,esk4_0),X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_38]), c_0_18]), c_0_16])])).
cnf(c_0_106, negated_conjecture, (esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k1_funct_1(esk3_0,esk5_0)|k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0), inference(spm,[status(thm)],[c_0_103, c_0_104])).
cnf(c_0_107, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_106]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_48]), c_0_40])).
cnf(c_0_108, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_109, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_110, negated_conjecture, (k5_numbers=X1|r3_surrealc(k5_relat_1(esk1_0,X2),X3,X4,X1,k1_funct_1(X4,X1))|~v2_surreal0(k1_funct_1(X4,X1))|~r4_surrealc(k5_relat_1(esk1_0,X2),X3,X4,X1)|~v3_ordinal1(X1)|~v5_ordinal1(k5_relat_1(esk1_0,X2))|~v5_ordinal1(X4)|~v5_ordinal1(X3)|~v1_funct_1(k5_relat_1(esk1_0,X2))|~v1_funct_1(X4)|~v1_funct_1(X3)|~v1_relat_1(X4)|~v1_relat_1(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_21]), c_0_22])])).
cnf(c_0_111, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_48]), c_0_76])).
cnf(c_0_112, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,X1),X2,esk3_0,esk5_0,esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|~v2_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|~r4_surrealc(k5_relat_1(esk1_0,X1),X2,esk3_0,esk5_0)|~v5_ordinal1(k5_relat_1(esk1_0,X1))|~v5_ordinal1(X2)|~v1_funct_1(k5_relat_1(esk1_0,X1))|~v1_funct_1(X2)|~v1_relat_1(X2)), 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_110, c_0_111]), c_0_30]), c_0_31]), c_0_33]), c_0_35])])).
cnf(c_0_113, negated_conjecture, (v2_surreal0(esk6_4(esk1_0,X1,X2,X3))|r4_surrealc(esk1_0,X1,X2,X3)|~v3_ordinal1(X3)|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_15]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_114, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,X1),X2,esk3_0,esk5_0,esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~r4_surrealc(k5_relat_1(esk1_0,X1),X2,esk3_0,esk5_0)|~v5_ordinal1(k5_relat_1(esk1_0,X1))|~v5_ordinal1(X2)|~v1_funct_1(k5_relat_1(esk1_0,X1))|~v1_funct_1(X2)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_113]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_115, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),X1,esk3_0,esk5_0,esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~r4_surrealc(k5_relat_1(esk1_0,esk4_0),X1,esk3_0,esk5_0)|~v5_ordinal1(X1)|~v1_funct_1(k5_relat_1(esk1_0,esk4_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(spm,[status(thm)],[c_0_114, c_0_27]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_116, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),X1,esk3_0,esk5_0,esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~r4_surrealc(k5_relat_1(esk1_0,esk4_0),X1,esk3_0,esk5_0)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_38]), c_0_18]), c_0_16])])).
cnf(c_0_117, negated_conjecture, (X1=k1_funct_1(X2,X3)|k5_numbers=X3|r2_tarski(k12_surreal0(k1_funct_1(X2,X3)),k12_surreal0(X1))|~v2_surrealo(X1)|~r3_surrealc(k5_relat_1(esk1_0,X4),X5,X2,X3,X1)|~v2_surreal0(k1_funct_1(X2,X3))|~v2_surreal0(X1)|~r4_surrealc(k5_relat_1(esk1_0,X4),X5,X2,X3)|~v3_ordinal1(X3)|~v5_ordinal1(k5_relat_1(esk1_0,X4))|~v5_ordinal1(X2)|~v5_ordinal1(X5)|~v1_funct_1(k5_relat_1(esk1_0,X4))|~v1_funct_1(X2)|~v1_funct_1(X5)|~v1_relat_1(X2)|~v1_relat_1(X5)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_21]), c_0_22])])).
cnf(c_0_118, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_56]), c_0_42])])).
cnf(c_0_119, negated_conjecture, (X1=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)),k12_surreal0(X1))|~v2_surrealo(X1)|~r3_surrealc(k5_relat_1(esk1_0,X2),X3,esk3_0,esk5_0,X1)|~v2_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|~v2_surreal0(X1)|~r4_surrealc(k5_relat_1(esk1_0,X2),X3,esk3_0,esk5_0)|~v5_ordinal1(k5_relat_1(esk1_0,X2))|~v5_ordinal1(X3)|~v1_funct_1(k5_relat_1(esk1_0,X2))|~v1_funct_1(X3)|~v1_relat_1(X3)), 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_117, c_0_111]), c_0_30]), c_0_31]), c_0_33]), c_0_35])])).
cnf(c_0_120, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_121, negated_conjecture, (X1=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)),k12_surreal0(X1))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~v2_surrealo(X1)|~r3_surrealc(k5_relat_1(esk1_0,X2),X3,esk3_0,esk5_0,X1)|~v2_surreal0(X1)|~r4_surrealc(k5_relat_1(esk1_0,X2),X3,esk3_0,esk5_0)|~v5_ordinal1(k5_relat_1(esk1_0,X2))|~v5_ordinal1(X3)|~v1_funct_1(k5_relat_1(esk1_0,X2))|~v1_funct_1(X3)|~v1_relat_1(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_113]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_122, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_123, negated_conjecture, (X1=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)),k12_surreal0(X1))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~v2_surrealo(X1)|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),X2,esk3_0,esk5_0,X1)|~v2_surreal0(X1)|~r4_surrealc(k5_relat_1(esk1_0,esk4_0),X2,esk3_0,esk5_0)|~v5_ordinal1(X2)|~v1_funct_1(k5_relat_1(esk1_0,esk4_0))|~v1_funct_1(X2)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_27]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_124, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(esk1_0,esk2_0,esk3_0,esk5_0,esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~v2_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_122]), c_0_70]), c_0_30]), c_0_24]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_125, negated_conjecture, (X1=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)),k12_surreal0(X1))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~v2_surrealo(X1)|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),X2,esk3_0,esk5_0,X1)|~v2_surreal0(X1)|~r4_surrealc(k5_relat_1(esk1_0,esk4_0),X2,esk3_0,esk5_0)|~v5_ordinal1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_38]), c_0_18]), c_0_16])])).
cnf(c_0_126, negated_conjecture, (k5_numbers=X1|r3_surrealc(esk1_0,X2,X3,X1,esk7_4(esk1_0,X2,X3,X1))|r4_surrealc(esk1_0,X2,X3,X1)|~r3_surrealc(esk1_0,X2,X3,X1,esk6_4(esk1_0,X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_15]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_127, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(esk1_0,esk2_0,esk3_0,esk5_0,esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_113]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_128, negated_conjecture, (k5_numbers=X1|v2_surreal0(esk7_4(esk1_0,X2,X3,X1))|r4_surrealc(esk1_0,X2,X3,X1)|~r3_surrealc(esk1_0,X2,X3,X1,esk6_4(esk1_0,X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_15]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_129, negated_conjecture, (X1=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)),k12_surreal0(X1))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~v2_surrealo(X1)|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,X1)|~v2_surreal0(X1)|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_56]), c_0_42])])).
cnf(c_0_130, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(esk1_0,esk2_0,esk3_0,esk5_0,esk7_4(esk1_0,esk2_0,esk3_0,esk5_0))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126, c_0_127]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_131, negated_conjecture, (k5_numbers=esk5_0|v2_surreal0(esk7_4(esk1_0,esk2_0,esk3_0,esk5_0))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128, c_0_127]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_132, negated_conjecture, (X1=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)),k12_surreal0(X1))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~v2_surrealo(X1)|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,X1)|~v2_surreal0(X1)|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_133, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,X1),k5_relat_1(esk2_0,X1),esk3_0,esk5_0,esk7_4(esk1_0,esk2_0,esk3_0,esk5_0))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~r1_ordinal1(esk5_0,X1)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_130]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])]), c_0_131])).
cnf(c_0_134, negated_conjecture, (k5_numbers=X1|v2_surrealo(esk7_4(esk1_0,X2,X3,X1))|r4_surrealc(esk1_0,X2,X3,X1)|~r3_surrealc(esk1_0,X2,X3,X1,esk6_4(esk1_0,X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_15]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_135, negated_conjecture, (k5_numbers=X1|r4_surrealc(esk1_0,X2,X3,X1)|~r2_tarski(k12_surreal0(esk6_4(esk1_0,X2,X3,X1)),k12_surreal0(esk7_4(esk1_0,X2,X3,X1)))|~r3_surrealc(esk1_0,X2,X3,X1,esk6_4(esk1_0,X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_15]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_136, negated_conjecture, (X1=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)),k12_surreal0(X1))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~v2_surrealo(X1)|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_137, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk7_4(esk1_0,esk2_0,esk3_0,esk5_0))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_70]), c_0_24])])).
cnf(c_0_138, negated_conjecture, (k5_numbers=esk5_0|v2_surrealo(esk7_4(esk1_0,esk2_0,esk3_0,esk5_0))|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_127]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_139, negated_conjecture, (k5_numbers=esk5_0|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~r2_tarski(k12_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)),k12_surreal0(esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_127]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_140, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_137]), c_0_131]), c_0_138]), c_0_139])).
cnf(c_0_141, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~r4_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)), inference(spm,[status(thm)],[c_0_28, c_0_140])).
cnf(c_0_142, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k1_funct_1(esk3_0,esk5_0)|esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_41]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])])).
cnf(c_0_143, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k1_funct_1(esk3_0,esk5_0)|esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_144, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k1_funct_1(esk3_0,esk5_0)|esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_145, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surreal0(k1_funct_1(esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_144]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_141])).
cnf(c_0_146, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surreal0(k1_funct_1(esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_147, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surreal0(k1_funct_1(esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_148, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(esk1_0,X1,esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))|~r4_surrealc(esk1_0,X1,esk3_0,esk5_0)|~v5_ordinal1(X1)|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_147]), c_0_30]), c_0_31]), c_0_33]), c_0_35])])).
cnf(c_0_149, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(esk1_0,esk2_0,esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148, c_0_140]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_150, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,X1),k5_relat_1(esk2_0,X1),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))|~r1_ordinal1(esk5_0,X1)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_149]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])]), c_0_147])).
cnf(c_0_151, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150, c_0_70]), c_0_24])])).
cnf(c_0_152, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_144]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_141])).
cnf(c_0_153, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_144]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_151]), c_0_141])).
cnf(c_0_154, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_155, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_156, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_157, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surrealo(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_144]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_141])).
cnf(c_0_158, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_144]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_151]), c_0_141])).
cnf(c_0_159, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|X1=k1_funct_1(esk3_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(X1))|~v2_surrealo(X1)|~r3_surrealc(esk1_0,X2,esk3_0,esk5_0,X1)|~v2_surreal0(X1)|~r4_surrealc(esk1_0,X2,esk3_0,esk5_0)|~v5_ordinal1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)), 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_85, c_0_147]), c_0_30]), c_0_31]), c_0_33]), c_0_35])])).
cnf(c_0_160, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_161, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(spm,[status(thm)],[c_0_156, c_0_151])).
cnf(c_0_162, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surrealo(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157, c_0_27]), c_0_32]), c_0_34]), c_0_36])]), c_0_151])).
cnf(c_0_163, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_164, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|X1=k1_funct_1(esk3_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(X1))|~v2_surrealo(X1)|~r3_surrealc(esk1_0,esk2_0,esk3_0,esk5_0,X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159, c_0_140]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_165, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|r3_surrealc(esk1_0,esk2_0,esk3_0,esk5_0,esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_160]), c_0_70]), c_0_30]), c_0_24]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])]), c_0_161])).
cnf(c_0_166, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|v2_surrealo(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_167, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_168, negated_conjecture, (esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k1_funct_1(esk3_0,esk5_0)|esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164, c_0_165]), c_0_161]), c_0_166]), c_0_167])).
cnf(c_0_169, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_168]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_144]), c_0_141])).
cnf(c_0_170, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_171, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_172, negated_conjecture, (k5_numbers=X1|r4_surrealc(esk1_0,X2,X3,X1)|esk7_4(esk1_0,X2,X3,X1)!=esk6_4(esk1_0,X2,X3,X1)|~r3_surrealc(esk1_0,X2,X3,X1,esk6_4(esk1_0,X2,X3,X1))|~v3_ordinal1(X1)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_15]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_173, negated_conjecture, (esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k5_numbers=esk5_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171, c_0_144]), c_0_151])).
cnf(c_0_174, negated_conjecture, (k5_numbers=esk5_0|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172, c_0_173]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])]), c_0_127])).
cnf(c_0_175, negated_conjecture, (k5_numbers=esk5_0|~r4_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)), inference(spm,[status(thm)],[c_0_28, c_0_174])).
cnf(c_0_176, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k1_funct_1(esk3_0,esk5_0)|k5_numbers=esk5_0|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175, c_0_41]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])])).
cnf(c_0_177, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k1_funct_1(esk3_0,esk5_0)|k5_numbers=esk5_0|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_178, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k1_funct_1(esk3_0,esk5_0)|k5_numbers=esk5_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_179, negated_conjecture, (k5_numbers=esk5_0|v2_surreal0(k1_funct_1(esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_178]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_175])).
cnf(c_0_180, negated_conjecture, (k5_numbers=esk5_0|v2_surreal0(k1_funct_1(esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_181, negated_conjecture, (k5_numbers=esk5_0|v2_surreal0(k1_funct_1(esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_182, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(esk1_0,X1,esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))|~r4_surrealc(esk1_0,X1,esk3_0,esk5_0)|~v5_ordinal1(X1)|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_181]), c_0_30]), c_0_31]), c_0_33]), c_0_35])])).
cnf(c_0_183, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(esk1_0,esk2_0,esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182, c_0_174]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_184, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,X1),k5_relat_1(esk2_0,X1),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))|~r1_ordinal1(esk5_0,X1)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_183]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])]), c_0_181])).
cnf(c_0_185, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184, c_0_70]), c_0_24])])).
cnf(c_0_186, negated_conjecture, (k5_numbers=esk5_0|v2_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_178]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_175])).
cnf(c_0_187, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_178]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_185]), c_0_175])).
cnf(c_0_188, negated_conjecture, (k5_numbers=esk5_0|v2_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_189, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_190, negated_conjecture, (k5_numbers=esk5_0|v2_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_191, negated_conjecture, (k5_numbers=esk5_0|v2_surrealo(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_178]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_175])).
cnf(c_0_192, negated_conjecture, (k5_numbers=esk5_0|~r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_178]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_185]), c_0_175])).
cnf(c_0_193, negated_conjecture, (X1=k1_funct_1(esk3_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(X1))|~v2_surrealo(X1)|~r3_surrealc(esk1_0,X2,esk3_0,esk5_0,X1)|~v2_surreal0(X1)|~r4_surrealc(esk1_0,X2,esk3_0,esk5_0)|~v5_ordinal1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)), 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_85, c_0_181]), c_0_30]), c_0_31]), c_0_33]), c_0_35])])).
cnf(c_0_194, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_195, negated_conjecture, (k5_numbers=esk5_0|v2_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(spm,[status(thm)],[c_0_190, c_0_185])).
cnf(c_0_196, negated_conjecture, (k5_numbers=esk5_0|v2_surrealo(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,k1_funct_1(esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_197, negated_conjecture, (k5_numbers=esk5_0|~r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
fof(c_0_198, plain, ![X39]:(~m1_subset_1(X39,k4_ordinal1)|v7_ordinal1(X39)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_199, negated_conjecture, (X1=k1_funct_1(esk3_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(X1))|~v2_surrealo(X1)|~r3_surrealc(esk1_0,esk2_0,esk3_0,esk5_0,X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193, c_0_174]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_200, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(esk1_0,esk2_0,esk3_0,esk5_0,esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_194]), c_0_70]), c_0_30]), c_0_24]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])]), c_0_195])).
cnf(c_0_201, negated_conjecture, (k5_numbers=esk5_0|v2_surrealo(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196, c_0_38]), c_0_34]), c_0_36])]), c_0_185])).
cnf(c_0_202, negated_conjecture, (k5_numbers=esk5_0|~r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197, c_0_38]), c_0_34]), c_0_36])])).
fof(c_0_203, plain, ![X38]:((v3_ordinal1(X38)|~v7_ordinal1(X38))&(v7_ordinal1(X38)|~v7_ordinal1(X38))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_nat_1])])])).
cnf(c_0_204, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_198])).
cnf(c_0_205, plain, (m1_subset_1(k5_numbers,k4_ordinal1)), inference(split_conjunct,[status(thm)],[dt_k5_numbers])).
cnf(c_0_206, negated_conjecture, (esk7_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k1_funct_1(esk3_0,esk5_0)|k5_numbers=esk5_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199, c_0_200]), c_0_195]), c_0_201]), c_0_202])).
cnf(c_0_207, plain, (r4_surrealc(X2,X3,X4,X1)|k5_numbers!=X1|esk6_4(X2,X3,X4,X1)!=k11_surreal0|~v3_ordinal1(X1)|~v1_relat_1(X4)|~v1_funct_1(X4)|~v5_ordinal1(X4)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v5_ordinal1(X3)|~v1_relat_1(X2)|~v5_relat_1(X2,k1_numbers)|~v1_funct_1(X2)|~v5_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_208, plain, (v3_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_203])).
cnf(c_0_209, plain, (v7_ordinal1(k5_numbers)), inference(spm,[status(thm)],[c_0_204, c_0_205])).
cnf(c_0_210, plain, (X2=k11_surreal0|k5_numbers!=X1|X2!=k1_funct_1(X3,X1)|~v2_surreal0(X2)|~r4_surrealc(X4,X5,X3,X1)|~v3_ordinal1(X1)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v5_ordinal1(X3)|~v1_relat_1(X5)|~v1_funct_1(X5)|~v5_ordinal1(X5)|~v1_relat_1(X4)|~v5_relat_1(X4,k1_numbers)|~v1_funct_1(X4)|~v5_ordinal1(X4)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_211, negated_conjecture, (k5_numbers=esk5_0|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_206]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_178]), c_0_175])).
cnf(c_0_212, plain, (r4_surrealc(X1,X2,X3,k5_numbers)|esk6_4(X1,X2,X3,k5_numbers)!=k11_surreal0|~v3_ordinal1(k5_numbers)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v5_relat_1(X1,k1_numbers)|~v1_relat_1(X3)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(er,[status(thm)],[c_0_207])).
cnf(c_0_213, plain, (v3_ordinal1(k5_numbers)), inference(spm,[status(thm)],[c_0_208, c_0_209])).
cnf(c_0_214, plain, (k1_funct_1(X1,k5_numbers)=k11_surreal0|~v2_surreal0(k1_funct_1(X1,k5_numbers))|~r4_surrealc(X2,X3,X1,k5_numbers)|~v3_ordinal1(k5_numbers)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v5_relat_1(X2,k1_numbers)|~v1_relat_1(X3)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_210])])).
cnf(c_0_215, negated_conjecture, (k5_numbers=esk5_0|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_216, plain, (r4_surrealc(X1,X2,X3,k5_numbers)|esk6_4(X1,X2,X3,k5_numbers)!=k11_surreal0|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v5_relat_1(X1,k1_numbers)|~v1_relat_1(X3)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212, c_0_213])])).
cnf(c_0_217, plain, (k1_funct_1(X1,k5_numbers)=k11_surreal0|~v2_surreal0(k1_funct_1(X1,k5_numbers))|~r4_surrealc(X2,X3,X1,k5_numbers)|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v5_relat_1(X2,k1_numbers)|~v1_relat_1(X3)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214, c_0_213])])).
cnf(c_0_218, negated_conjecture, (k5_numbers=esk5_0|~r3_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0,esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_219, negated_conjecture, (r4_surrealc(k5_relat_1(esk1_0,X1),X2,X3,k5_numbers)|esk6_4(k5_relat_1(esk1_0,X1),X2,X3,k5_numbers)!=k11_surreal0|~v5_ordinal1(k5_relat_1(esk1_0,X1))|~v5_ordinal1(X3)|~v5_ordinal1(X2)|~v1_funct_1(k5_relat_1(esk1_0,X1))|~v1_funct_1(X3)|~v1_funct_1(X2)|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216, c_0_21]), c_0_22])])).
cnf(c_0_220, negated_conjecture, (k1_funct_1(X1,k5_numbers)=k11_surreal0|~v2_surreal0(k1_funct_1(X1,k5_numbers))|~r4_surrealc(esk1_0,X2,X1,k5_numbers)|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217, c_0_15]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_221, negated_conjecture, (k5_numbers=esk5_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218, c_0_178]), c_0_185])).
cnf(c_0_222, negated_conjecture, (r4_surrealc(k5_relat_1(esk1_0,esk4_0),X1,X2,k5_numbers)|esk6_4(k5_relat_1(esk1_0,esk4_0),X1,X2,k5_numbers)!=k11_surreal0|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(k5_relat_1(esk1_0,esk4_0))|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219, c_0_27]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_223, negated_conjecture, (k1_funct_1(X1,esk5_0)=k11_surreal0|~v2_surreal0(k1_funct_1(X1,esk5_0))|~r4_surrealc(esk1_0,X2,X1,esk5_0)|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_220, c_0_221]), c_0_221]), c_0_221])).
cnf(c_0_224, negated_conjecture, (r4_surrealc(k5_relat_1(esk1_0,esk4_0),X1,X2,k5_numbers)|esk6_4(k5_relat_1(esk1_0,esk4_0),X1,X2,k5_numbers)!=k11_surreal0|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222, c_0_38]), c_0_18]), c_0_16])])).
cnf(c_0_225, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k1_funct_1(esk3_0,esk5_0)=k11_surreal0|~r4_surrealc(esk1_0,X1,esk3_0,esk5_0)|~v5_ordinal1(X1)|~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(spm,[status(thm)],[c_0_223, c_0_55]), c_0_31]), c_0_33]), c_0_35])])).
cnf(c_0_226, negated_conjecture, (r4_surrealc(k5_relat_1(esk1_0,esk4_0),X1,X2,esk5_0)|esk6_4(k5_relat_1(esk1_0,esk4_0),X1,X2,esk5_0)!=k11_surreal0|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_224, c_0_221]), c_0_221])).
cnf(c_0_227, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|k1_funct_1(esk3_0,esk5_0)=k11_surreal0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225, c_0_60]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_228, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(csr,[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_226, c_0_48]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_227]), c_0_40])).
cnf(c_0_229, negated_conjecture, (k1_funct_1(X1,k5_numbers)=k11_surreal0|~v2_surreal0(k1_funct_1(X1,k5_numbers))|~r4_surrealc(k5_relat_1(esk1_0,X2),X3,X1,k5_numbers)|~v5_ordinal1(k5_relat_1(esk1_0,X2))|~v5_ordinal1(X3)|~v5_ordinal1(X1)|~v1_funct_1(k5_relat_1(esk1_0,X2))|~v1_funct_1(X3)|~v1_funct_1(X1)|~v1_relat_1(X3)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217, c_0_21]), c_0_22])])).
cnf(c_0_230, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_231, negated_conjecture, (k1_funct_1(X1,esk5_0)=k11_surreal0|~v2_surreal0(k1_funct_1(X1,esk5_0))|~r4_surrealc(k5_relat_1(esk1_0,X2),X3,X1,esk5_0)|~v5_ordinal1(k5_relat_1(esk1_0,X2))|~v5_ordinal1(X3)|~v5_ordinal1(X1)|~v1_funct_1(k5_relat_1(esk1_0,X2))|~v1_funct_1(X3)|~v1_funct_1(X1)|~v1_relat_1(X3)|~v1_relat_1(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_229, c_0_221]), c_0_221]), c_0_221])).
cnf(c_0_232, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_233, negated_conjecture, (esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|~v2_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|~r4_surrealc(k5_relat_1(esk1_0,X1),X2,esk3_0,esk5_0)|~v5_ordinal1(k5_relat_1(esk1_0,X1))|~v5_ordinal1(X2)|~v1_funct_1(k5_relat_1(esk1_0,X1))|~v1_funct_1(X2)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231, c_0_232]), c_0_31]), c_0_33]), c_0_35])])).
cnf(c_0_234, negated_conjecture, (esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~r4_surrealc(k5_relat_1(esk1_0,X1),X2,esk3_0,esk5_0)|~v5_ordinal1(k5_relat_1(esk1_0,X1))|~v5_ordinal1(X2)|~v1_funct_1(k5_relat_1(esk1_0,X1))|~v1_funct_1(X2)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233, c_0_113]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_235, negated_conjecture, (esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~r4_surrealc(k5_relat_1(esk1_0,esk4_0),X1,esk3_0,esk5_0)|~v5_ordinal1(X1)|~v1_funct_1(k5_relat_1(esk1_0,esk4_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(spm,[status(thm)],[c_0_234, c_0_27]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_236, negated_conjecture, (esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~r4_surrealc(k5_relat_1(esk1_0,esk4_0),X1,esk3_0,esk5_0)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235, c_0_38]), c_0_18]), c_0_16])])).
cnf(c_0_237, negated_conjecture, (esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236, c_0_56]), c_0_42])])).
cnf(c_0_238, negated_conjecture, (esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_239, negated_conjecture, (esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_240, negated_conjecture, (esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|~r4_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)), inference(spm,[status(thm)],[c_0_28, c_0_239])).
cnf(c_0_241, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240, c_0_41]), c_0_232]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])])).
cnf(c_0_242, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_243, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)|esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_244, negated_conjecture, (esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|v2_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_243]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_240])).
cnf(c_0_245, negated_conjecture, (esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|v2_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_246, negated_conjecture, (esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|~v2_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))|~r4_surrealc(esk1_0,X1,esk3_0,esk5_0)|~v5_ordinal1(X1)|~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(spm,[status(thm)],[c_0_223, c_0_232]), c_0_31]), c_0_33]), c_0_35])])).
cnf(c_0_247, negated_conjecture, (esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|v2_surreal0(esk6_4(esk1_0,esk2_0,esk3_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_248, negated_conjecture, (r4_surrealc(esk1_0,X1,X2,k5_numbers)|esk6_4(esk1_0,X1,X2,k5_numbers)!=k11_surreal0|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216, c_0_15]), c_0_25]), c_0_18]), c_0_16])])).
cnf(c_0_249, negated_conjecture, (esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0|~r4_surrealc(esk1_0,X1,esk3_0,esk5_0)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_246, c_0_247])).
cnf(c_0_250, negated_conjecture, (r4_surrealc(esk1_0,X1,X2,esk5_0)|esk6_4(esk1_0,X1,X2,esk5_0)!=k11_surreal0|~v5_ordinal1(X2)|~v5_ordinal1(X1)|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_248, c_0_221]), c_0_221])).
cnf(c_0_251, negated_conjecture, (esk6_4(esk1_0,esk2_0,esk3_0,esk5_0)=k11_surreal0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249, c_0_239]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_252, negated_conjecture, (r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250, c_0_251]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_253, negated_conjecture, (~r4_surrealc(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_252])])).
cnf(c_0_254, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k11_surreal0|~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253, c_0_41]), c_0_232]), c_0_251]), c_0_30]), c_0_31]), c_0_33]), c_0_35]), c_0_42])])).
cnf(c_0_255, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k11_surreal0|~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_256, negated_conjecture, (esk6_4(k5_relat_1(esk1_0,esk4_0),k5_relat_1(esk2_0,esk4_0),esk3_0,esk5_0)=k11_surreal0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255, c_0_38]), c_0_34]), c_0_36])])).
cnf(c_0_257, negated_conjecture, (~v5_ordinal1(k5_relat_1(esk2_0,esk4_0))|~v1_funct_1(k5_relat_1(esk2_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_226, c_0_256]), c_0_31]), c_0_33]), c_0_35]), c_0_42])]), c_0_253])).
cnf(c_0_258, negated_conjecture, (~v1_funct_1(k5_relat_1(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257, c_0_27]), c_0_32]), c_0_34]), c_0_36])])).
cnf(c_0_259, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258, c_0_38]), c_0_34]), c_0_36])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 260
# Proof object clause steps            : 242
# Proof object formula steps           : 18
# Proof object conjectures             : 217
# Proof object clause conjectures      : 214
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 35
# Proof object initial formulas used   : 9
# Proof object generating inferences   : 196
# Proof object simplifying inferences  : 857
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 9
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 45
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 43
# Processed clauses                    : 8525
# ...of these trivial                  : 14
# ...subsumed                          : 216
# ...remaining for further processing  : 8295
# Other redundant clauses eliminated   : 5
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 6915
# Backward-rewritten                   : 750
# Generated clauses                    : 10458
# ...of the previous two non-trivial   : 11078
# Contextual simplify-reflections      : 412
# Paramodulations                      : 10453
# Factorizations                       : 1
# NegExts                              : 0
# Equation resolutions                 : 5
# 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  : 584
#    Positive orientable unit clauses  : 110
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 472
# Current number of unprocessed clauses: 2619
# ...number of literals in the above   : 34449
# Current number of archived formulas  : 0
# Current number of archived clauses   : 7707
# Clause-clause subsumption calls (NU) : 5613838
# Rec. Clause-clause subsumption calls : 24098
# Non-unit clause-clause subsumptions  : 7543
# Unit Clause-clause subsumption calls : 2648
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3168
# BW rewrite match successes           : 6
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 1370072

# -------------------------------------------------
# User time                : 3.449 s
# System time              : 0.026 s
# Total time               : 3.475 s
# Maximum resident set size: 3428 pages
