# 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       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t76_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]:(((v1_relat_1(X4)&v1_funct_1(X4))&v5_ordinal1(X4))=>![X5]:(v3_ordinal1(X5)=>(((((((v2_surreal0(k1_funct_1(X3,X5))&v2_surrealo(k1_funct_1(X3,X5)))&v2_surreal0(k1_funct_1(X4,X5)))&v2_surrealo(k1_funct_1(X4,X5)))&k5_relat_1(X3,X5)=k5_relat_1(X4,X5))&r4_surrealc(X1,X2,X3,X5))&r4_surrealc(X1,X2,X4,X5))=>k1_funct_1(X3,X5)=k1_funct_1(X4,X5))))))), file('surrealc/surrealc__t76_surrealc', t76_surrealc)).
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__t76_surrealc', d15_surrealc)).
fof(t75_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]:(((v1_relat_1(X5)&v1_funct_1(X5))&v5_ordinal1(X5))=>![X6]:(v3_ordinal1(X6)=>((k5_relat_1(X4,X6)=k5_relat_1(X5,X6)&r3_surrealc(X2,X3,X4,X6,X1))=>r3_surrealc(X2,X3,X5,X6,X1)))))))), file('surrealc/surrealc__t76_surrealc', t75_surrealc)).
fof(cc5_ordinal1, axiom, ![X1]:(v3_ordinal1(X1)=>![X2]:(m1_subset_1(X2,X1)=>v3_ordinal1(X2))), file('surrealc/surrealc__t76_surrealc', cc5_ordinal1)).
fof(fc6_ordinal1, axiom, (~(v1_xboole_0(k4_ordinal1))&v3_ordinal1(k4_ordinal1)), file('surrealc/surrealc__t76_surrealc', fc6_ordinal1)).
fof(asymmetry_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>~(r2_tarski(X2,X1))), file('surrealc/surrealc__t76_surrealc', asymmetry_r2_tarski)).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers,k4_ordinal1), file('surrealc/surrealc__t76_surrealc', dt_k5_numbers)).
fof(c_0_7, 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]:(((v1_relat_1(X4)&v1_funct_1(X4))&v5_ordinal1(X4))=>![X5]:(v3_ordinal1(X5)=>(((((((v2_surreal0(k1_funct_1(X3,X5))&v2_surrealo(k1_funct_1(X3,X5)))&v2_surreal0(k1_funct_1(X4,X5)))&v2_surrealo(k1_funct_1(X4,X5)))&k5_relat_1(X3,X5)=k5_relat_1(X4,X5))&r4_surrealc(X1,X2,X3,X5))&r4_surrealc(X1,X2,X4,X5))=>k1_funct_1(X3,X5)=k1_funct_1(X4,X5)))))))), inference(assume_negation,[status(cth)],[t76_surrealc])).
fof(c_0_8, plain, ![X37, X38, X39, X40, X41, X42]:(((k5_numbers!=X40|X41=k11_surreal0|X41!=k1_funct_1(X39,X40)|~v2_surreal0(X41)|~r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37)))&((r3_surrealc(X37,X38,X39,X40,X41)|k5_numbers=X40|X41!=k1_funct_1(X39,X40)|~v2_surreal0(X41)|~r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37)))&(~v2_surreal0(X42)|~v2_surrealo(X42)|(~r3_surrealc(X37,X38,X39,X40,X42)|(X42=X41|r2_tarski(k12_surreal0(X41),k12_surreal0(X42))))|k5_numbers=X40|X41!=k1_funct_1(X39,X40)|~v2_surreal0(X41)|~r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37)))))&((v2_surreal0(esk6_4(X37,X38,X39,X40))|r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37)))&((esk6_4(X37,X38,X39,X40)=k1_funct_1(X39,X40)|r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37)))&(((k5_numbers!=X40|k5_numbers=X40|r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37)))&(((v2_surreal0(esk7_4(X37,X38,X39,X40))|~r3_surrealc(X37,X38,X39,X40,esk6_4(X37,X38,X39,X40))|k5_numbers=X40|r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37)))&(v2_surrealo(esk7_4(X37,X38,X39,X40))|~r3_surrealc(X37,X38,X39,X40,esk6_4(X37,X38,X39,X40))|k5_numbers=X40|r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37))))&((r3_surrealc(X37,X38,X39,X40,esk7_4(X37,X38,X39,X40))|~r3_surrealc(X37,X38,X39,X40,esk6_4(X37,X38,X39,X40))|k5_numbers=X40|r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37)))&((esk7_4(X37,X38,X39,X40)!=esk6_4(X37,X38,X39,X40)|~r3_surrealc(X37,X38,X39,X40,esk6_4(X37,X38,X39,X40))|k5_numbers=X40|r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37)))&(~r2_tarski(k12_surreal0(esk6_4(X37,X38,X39,X40)),k12_surreal0(esk7_4(X37,X38,X39,X40)))|~r3_surrealc(X37,X38,X39,X40,esk6_4(X37,X38,X39,X40))|k5_numbers=X40|r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37)))))))&((k5_numbers!=X40|esk6_4(X37,X38,X39,X40)!=k11_surreal0|r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37)))&(((v2_surreal0(esk7_4(X37,X38,X39,X40))|~r3_surrealc(X37,X38,X39,X40,esk6_4(X37,X38,X39,X40))|esk6_4(X37,X38,X39,X40)!=k11_surreal0|r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37)))&(v2_surrealo(esk7_4(X37,X38,X39,X40))|~r3_surrealc(X37,X38,X39,X40,esk6_4(X37,X38,X39,X40))|esk6_4(X37,X38,X39,X40)!=k11_surreal0|r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37))))&((r3_surrealc(X37,X38,X39,X40,esk7_4(X37,X38,X39,X40))|~r3_surrealc(X37,X38,X39,X40,esk6_4(X37,X38,X39,X40))|esk6_4(X37,X38,X39,X40)!=k11_surreal0|r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37)))&((esk7_4(X37,X38,X39,X40)!=esk6_4(X37,X38,X39,X40)|~r3_surrealc(X37,X38,X39,X40,esk6_4(X37,X38,X39,X40))|esk6_4(X37,X38,X39,X40)!=k11_surreal0|r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37)))&(~r2_tarski(k12_surreal0(esk6_4(X37,X38,X39,X40)),k12_surreal0(esk7_4(X37,X38,X39,X40)))|~r3_surrealc(X37,X38,X39,X40,esk6_4(X37,X38,X39,X40))|esk6_4(X37,X38,X39,X40)!=k11_surreal0|r4_surrealc(X37,X38,X39,X40)|~v3_ordinal1(X40)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v5_ordinal1(X39))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38))|(~v1_relat_1(X37)|~v5_relat_1(X37,k1_numbers)|~v1_funct_1(X37)|~v5_ordinal1(X37))))))))))), 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])])])])])).
fof(c_0_9, plain, ![X45, X46, X47, X48, X49, X50]:(~v2_surreal0(X45)|(~v1_relat_1(X46)|~v5_relat_1(X46,k1_numbers)|~v1_funct_1(X46)|~v5_ordinal1(X46)|(~v1_relat_1(X47)|~v1_funct_1(X47)|~v5_ordinal1(X47)|(~v1_relat_1(X48)|~v1_funct_1(X48)|~v5_ordinal1(X48)|(~v1_relat_1(X49)|~v1_funct_1(X49)|~v5_ordinal1(X49)|(~v3_ordinal1(X50)|(k5_relat_1(X48,X50)!=k5_relat_1(X49,X50)|~r3_surrealc(X46,X47,X48,X50,X45)|r3_surrealc(X46,X47,X49,X50,X45)))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t75_surrealc])])])).
fof(c_0_10, 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))&(((v1_relat_1(esk4_0)&v1_funct_1(esk4_0))&v5_ordinal1(esk4_0))&(v3_ordinal1(esk5_0)&(((((((v2_surreal0(k1_funct_1(esk3_0,esk5_0))&v2_surrealo(k1_funct_1(esk3_0,esk5_0)))&v2_surreal0(k1_funct_1(esk4_0,esk5_0)))&v2_surrealo(k1_funct_1(esk4_0,esk5_0)))&k5_relat_1(esk3_0,esk5_0)=k5_relat_1(esk4_0,esk5_0))&r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0))&r4_surrealc(esk1_0,esk2_0,esk4_0,esk5_0))&k1_funct_1(esk3_0,esk5_0)!=k1_funct_1(esk4_0,esk5_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
cnf(c_0_11, 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_8])).
cnf(c_0_12, 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_8])).
cnf(c_0_13, plain, (r3_surrealc(X2,X3,X5,X6,X1)|~v2_surreal0(X1)|~v1_relat_1(X2)|~v5_relat_1(X2,k1_numbers)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v5_ordinal1(X3)|~v1_relat_1(X4)|~v1_funct_1(X4)|~v5_ordinal1(X4)|~v1_relat_1(X5)|~v1_funct_1(X5)|~v5_ordinal1(X5)|~v3_ordinal1(X6)|k5_relat_1(X4,X6)!=k5_relat_1(X5,X6)|~r3_surrealc(X2,X3,X4,X6,X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_14, negated_conjecture, (v5_relat_1(esk1_0,k1_numbers)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, negated_conjecture, (v5_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16, negated_conjecture, (v1_funct_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_17, negated_conjecture, (v1_relat_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_18, plain, (k5_numbers=X1|r3_surrealc(X2,X3,X4,X1,k1_funct_1(X4,X1))|~r4_surrealc(X2,X3,X4,X1)|~v2_surreal0(k1_funct_1(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_11])).
cnf(c_0_19, plain, (X1=k1_funct_1(X2,X3)|k5_numbers=X3|r2_tarski(k12_surreal0(k1_funct_1(X2,X3)),k12_surreal0(X1))|~r3_surrealc(X4,X5,X2,X3,X1)|~r4_surrealc(X4,X5,X2,X3)|~v2_surrealo(X1)|~v2_surreal0(k1_funct_1(X2,X3))|~v2_surreal0(X1)|~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_12])).
cnf(c_0_20, negated_conjecture, (r3_surrealc(esk1_0,X1,X2,X3,X4)|k5_relat_1(X5,X3)!=k5_relat_1(X2,X3)|~r3_surrealc(esk1_0,X1,X5,X3,X4)|~v2_surreal0(X4)|~v3_ordinal1(X3)|~v5_ordinal1(X2)|~v5_ordinal1(X5)|~v5_ordinal1(X1)|~v1_funct_1(X2)|~v1_funct_1(X5)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X5)|~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_13, c_0_14]), c_0_15]), c_0_16]), c_0_17])])).
cnf(c_0_21, negated_conjecture, (k5_relat_1(esk3_0,esk5_0)=k5_relat_1(esk4_0,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_22, negated_conjecture, (v3_ordinal1(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_23, negated_conjecture, (v5_ordinal1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_24, negated_conjecture, (v1_funct_1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_25, negated_conjecture, (v1_relat_1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_26, negated_conjecture, (k5_numbers=X1|r3_surrealc(esk1_0,X2,X3,X1,k1_funct_1(X3,X1))|~r4_surrealc(esk1_0,X2,X3,X1)|~v2_surreal0(k1_funct_1(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_18, c_0_14]), c_0_15]), c_0_16]), c_0_17])])).
cnf(c_0_27, negated_conjecture, (v2_surreal0(k1_funct_1(esk3_0,esk5_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_28, negated_conjecture, (v5_ordinal1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_29, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_30, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_31, negated_conjecture, (X1=k1_funct_1(X2,X3)|k5_numbers=X3|r2_tarski(k12_surreal0(k1_funct_1(X2,X3)),k12_surreal0(X1))|~r3_surrealc(esk1_0,X4,X2,X3,X1)|~r4_surrealc(esk1_0,X4,X2,X3)|~v2_surrealo(X1)|~v2_surreal0(k1_funct_1(X2,X3))|~v2_surreal0(X1)|~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_19, c_0_14]), c_0_15]), c_0_16]), c_0_17])])).
cnf(c_0_32, negated_conjecture, (v2_surreal0(k1_funct_1(esk4_0,esk5_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_33, negated_conjecture, (r3_surrealc(esk1_0,X1,esk4_0,esk5_0,X2)|k5_relat_1(X3,esk5_0)!=k5_relat_1(esk3_0,esk5_0)|~r3_surrealc(esk1_0,X1,X3,esk5_0,X2)|~v2_surreal0(X2)|~v5_ordinal1(X3)|~v5_ordinal1(X1)|~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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25])])).
cnf(c_0_34, 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_26, c_0_27]), c_0_22]), c_0_28]), c_0_29]), c_0_30])])).
cnf(c_0_35, negated_conjecture, (r4_surrealc(esk1_0,esk2_0,esk3_0,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_36, negated_conjecture, (v5_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_37, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_38, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_39, plain, ![X35, X36]:(~v3_ordinal1(X35)|(~m1_subset_1(X36,X35)|v3_ordinal1(X36))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_ordinal1])])])).
fof(c_0_40, plain, (~v1_xboole_0(k4_ordinal1)&v3_ordinal1(k4_ordinal1)), inference(fof_simplification,[status(thm)],[fc6_ordinal1])).
fof(c_0_41, plain, ![X1, X2]:(r2_tarski(X1,X2)=>~r2_tarski(X2,X1)), inference(fof_simplification,[status(thm)],[asymmetry_r2_tarski])).
cnf(c_0_42, negated_conjecture, (X1=k1_funct_1(esk4_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(k1_funct_1(esk4_0,esk5_0)),k12_surreal0(X1))|~r3_surrealc(esk1_0,X2,esk4_0,esk5_0,X1)|~r4_surrealc(esk1_0,X2,esk4_0,esk5_0)|~v2_surrealo(X1)|~v2_surreal0(X1)|~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_31, c_0_32]), c_0_22]), c_0_23]), c_0_24]), c_0_25])])).
cnf(c_0_43, negated_conjecture, (r4_surrealc(esk1_0,esk2_0,esk4_0,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_44, negated_conjecture, (r3_surrealc(esk1_0,X1,esk4_0,esk5_0,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(er,[status(thm)],[c_0_33]), c_0_28]), c_0_29]), c_0_30])])).
cnf(c_0_45, 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_34, c_0_35]), c_0_36]), c_0_37]), c_0_38])])).
cnf(c_0_46, 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_8])).
cnf(c_0_47, plain, (v3_ordinal1(X2)|~v3_ordinal1(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_48, plain, (m1_subset_1(k5_numbers,k4_ordinal1)), inference(split_conjunct,[status(thm)],[dt_k5_numbers])).
cnf(c_0_49, plain, (v3_ordinal1(k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_50, negated_conjecture, (r3_surrealc(esk1_0,X1,X2,esk5_0,X3)|k5_relat_1(esk3_0,esk5_0)!=k5_relat_1(X2,esk5_0)|~r3_surrealc(esk1_0,X1,esk4_0,esk5_0,X3)|~v2_surreal0(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25])])).
cnf(c_0_51, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(esk1_0,X1,esk4_0,esk5_0,k1_funct_1(esk4_0,esk5_0))|~r4_surrealc(esk1_0,X1,esk4_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_26, c_0_32]), c_0_22]), c_0_23]), c_0_24]), c_0_25])])).
fof(c_0_52, plain, ![X33, X34]:(~r2_tarski(X33,X34)|~r2_tarski(X34,X33)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])).
cnf(c_0_53, negated_conjecture, (X1=k1_funct_1(esk4_0,esk5_0)|k5_numbers=esk5_0|r2_tarski(k12_surreal0(k1_funct_1(esk4_0,esk5_0)),k12_surreal0(X1))|~r3_surrealc(esk1_0,esk2_0,esk4_0,esk5_0,X1)|~v2_surrealo(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_42, c_0_43]), c_0_36]), c_0_37]), c_0_38])])).
cnf(c_0_54, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(esk1_0,esk2_0,esk4_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_27]), c_0_36]), c_0_37]), c_0_38])])).
cnf(c_0_55, negated_conjecture, (v2_surrealo(k1_funct_1(esk3_0,esk5_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_56, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)!=k1_funct_1(esk4_0,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_57, plain, (k1_funct_1(X1,k5_numbers)=k11_surreal0|~r4_surrealc(X2,X3,X1,k5_numbers)|~v2_surreal0(k1_funct_1(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_46])])).
cnf(c_0_58, plain, (v3_ordinal1(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49])])).
cnf(c_0_59, 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))|~r3_surrealc(esk1_0,X2,esk3_0,esk5_0,X1)|~r4_surrealc(esk1_0,X2,esk3_0,esk5_0)|~v2_surrealo(X1)|~v2_surreal0(X1)|~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_31, c_0_27]), c_0_22]), c_0_28]), c_0_29]), c_0_30])])).
cnf(c_0_60, negated_conjecture, (r3_surrealc(esk1_0,X1,esk3_0,esk5_0,X2)|~r3_surrealc(esk1_0,X1,esk4_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(er,[status(thm)],[c_0_50]), c_0_28]), c_0_29]), c_0_30])])).
cnf(c_0_61, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(esk1_0,esk2_0,esk4_0,esk5_0,k1_funct_1(esk4_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_51, c_0_43]), c_0_36]), c_0_37]), c_0_38])])).
cnf(c_0_62, plain, (~r2_tarski(X1,X2)|~r2_tarski(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_63, negated_conjecture, (k5_numbers=esk5_0|r2_tarski(k12_surreal0(k1_funct_1(esk4_0,esk5_0)),k12_surreal0(k1_funct_1(esk3_0,esk5_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55]), c_0_27])]), c_0_56])).
cnf(c_0_64, plain, (k1_funct_1(X1,k5_numbers)=k11_surreal0|~r4_surrealc(X2,X3,X1,k5_numbers)|~v2_surreal0(k1_funct_1(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_57, c_0_58])])).
cnf(c_0_65, 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))|~r3_surrealc(esk1_0,esk2_0,esk3_0,esk5_0,X1)|~v2_surrealo(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_59, c_0_35]), c_0_36]), c_0_37]), c_0_38])])).
cnf(c_0_66, negated_conjecture, (k5_numbers=esk5_0|r3_surrealc(esk1_0,esk2_0,esk3_0,esk5_0,k1_funct_1(esk4_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_32]), c_0_36]), c_0_37]), c_0_38])])).
cnf(c_0_67, negated_conjecture, (v2_surrealo(k1_funct_1(esk4_0,esk5_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_68, negated_conjecture, (k5_numbers=esk5_0|~r2_tarski(k12_surreal0(k1_funct_1(esk3_0,esk5_0)),k12_surreal0(k1_funct_1(esk4_0,esk5_0)))), inference(spm,[status(thm)],[c_0_62, c_0_63])).
cnf(c_0_69, negated_conjecture, (k1_funct_1(X1,k5_numbers)=k11_surreal0|~r4_surrealc(esk1_0,X2,X1,k5_numbers)|~v2_surreal0(k1_funct_1(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_64, c_0_14]), c_0_15]), c_0_16]), c_0_17])])).
cnf(c_0_70, negated_conjecture, (k5_numbers=esk5_0), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_67]), c_0_32])]), c_0_56]), c_0_68])).
cnf(c_0_71, negated_conjecture, (k1_funct_1(X1,esk5_0)=k11_surreal0|~r4_surrealc(esk1_0,X2,X1,esk5_0)|~v2_surreal0(k1_funct_1(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_69, c_0_70]), c_0_70]), c_0_70])).
cnf(c_0_72, negated_conjecture, (k1_funct_1(esk4_0,esk5_0)=k11_surreal0|~r4_surrealc(esk1_0,X1,esk4_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_71, c_0_32]), c_0_23]), c_0_24]), c_0_25])])).
cnf(c_0_73, negated_conjecture, (k1_funct_1(esk4_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_72, c_0_43]), c_0_36]), c_0_37]), c_0_38])])).
cnf(c_0_74, negated_conjecture, (k1_funct_1(esk3_0,esk5_0)!=k11_surreal0), inference(rw,[status(thm)],[c_0_56, c_0_73])).
cnf(c_0_75, negated_conjecture, (~r4_surrealc(esk1_0,X1,esk3_0,esk5_0)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_27]), c_0_28]), c_0_29]), c_0_30])]), c_0_74])).
cnf(c_0_76, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_35]), c_0_36]), c_0_37]), c_0_38])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 77
# Proof object clause steps            : 62
# Proof object formula steps           : 15
# Proof object conjectures             : 52
# Proof object clause conjectures      : 49
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 30
# Proof object initial formulas used   : 7
# Proof object generating inferences   : 26
# Proof object simplifying inferences  : 118
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 7
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 45
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 44
# Processed clauses                    : 144
# ...of these trivial                  : 0
# ...subsumed                          : 5
# ...remaining for further processing  : 139
# Other redundant clauses eliminated   : 5
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 41
# Generated clauses                    : 61
# ...of the previous two non-trivial   : 78
# Contextual simplify-reflections      : 1
# Paramodulations                      : 54
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 8
# 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  : 50
#    Positive orientable unit clauses  : 25
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 23
# Current number of unprocessed clauses: 21
# ...number of literals in the above   : 262
# Current number of archived formulas  : 0
# Current number of archived clauses   : 85
# Clause-clause subsumption calls (NU) : 1264
# Rec. Clause-clause subsumption calls : 18
# Non-unit clause-clause subsumptions  : 6
# Unit Clause-clause subsumption calls : 38
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 5
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 8732

# -------------------------------------------------
# User time                : 0.026 s
# System time              : 0.007 s
# Total time               : 0.033 s
# Maximum resident set size: 3436 pages
