# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.018 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d9_surreali, axiom, ![X1]:((v2_surreal0(X1)&v2_surreali(X1))=>![X2]:((v2_surreal0(X2)&v2_surreali(X2))=>(X2=k7_surreali(X1)<=>![X3]:(v2_surreal0(X3)=>(((~(((r2_tarski(X3,k1_surreal0(X2))&X3!=k11_surreal0)&~((r2_tarski(X3,k1_surreal0(X1))&v2_surreali(X3)))))&((X3=k11_surreal0|(r2_tarski(X3,k1_surreal0(X1))&v2_surreali(X3)))=>r2_tarski(X3,k1_surreal0(X2))))&(r2_tarski(X3,k2_surreal0(X2))=>(r2_tarski(X3,k2_surreal0(X1))&v2_surreali(X3))))&((r2_tarski(X3,k2_surreal0(X1))&v2_surreali(X3))=>r2_tarski(X3,k2_surreal0(X2)))))))), file('surreali/surreali__t19_surreali', d9_surreali)).
fof(t19_surreali, conjecture, ![X1]:(v2_surreal0(X1)=>(v2_surreali(X1)=>k7_surreali(k7_surreali(X1))=k7_surreali(X1))), file('surreali/surreali__t19_surreali', t19_surreali)).
fof(dt_k7_surreali, axiom, ![X1]:(v2_surreal0(k7_surreali(X1))&v2_surreali(k7_surreali(X1))), file('surreali/surreali__t19_surreali', dt_k7_surreali)).
fof(dt_k11_surreal0, axiom, v2_surreal0(k11_surreal0), file('surreali/surreali__t19_surreali', dt_k11_surreal0)).
fof(c_0_4, plain, ![X1, X3, X2]:(epred1_3(X2,X3,X1)<=>(((~(((r2_tarski(X3,k1_surreal0(X2))&X3!=k11_surreal0)&~((r2_tarski(X3,k1_surreal0(X1))&v2_surreali(X3)))))&((X3=k11_surreal0|(r2_tarski(X3,k1_surreal0(X1))&v2_surreali(X3)))=>r2_tarski(X3,k1_surreal0(X2))))&(r2_tarski(X3,k2_surreal0(X2))=>(r2_tarski(X3,k2_surreal0(X1))&v2_surreali(X3))))&((r2_tarski(X3,k2_surreal0(X1))&v2_surreali(X3))=>r2_tarski(X3,k2_surreal0(X2))))), introduced(definition)).
fof(c_0_5, axiom, ![X1]:((v2_surreal0(X1)&v2_surreali(X1))=>![X2]:((v2_surreal0(X2)&v2_surreali(X2))=>(X2=k7_surreali(X1)<=>![X3]:(v2_surreal0(X3)=>epred1_3(X2,X3,X1))))), inference(apply_def,[status(thm)],[d9_surreali, c_0_4])).
fof(c_0_6, plain, ![X10, X11, X12]:((X11!=k7_surreali(X10)|(~v2_surreal0(X12)|epred1_3(X11,X12,X10))|(~v2_surreal0(X11)|~v2_surreali(X11))|(~v2_surreal0(X10)|~v2_surreali(X10)))&((v2_surreal0(esk2_2(X10,X11))|X11=k7_surreali(X10)|(~v2_surreal0(X11)|~v2_surreali(X11))|(~v2_surreal0(X10)|~v2_surreali(X10)))&(~epred1_3(X11,esk2_2(X10,X11),X10)|X11=k7_surreali(X10)|(~v2_surreal0(X11)|~v2_surreali(X11))|(~v2_surreal0(X10)|~v2_surreali(X10))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])).
fof(c_0_7, plain, ![X15, X16, X17]:((((((r2_tarski(X16,k1_surreal0(X15))|(~r2_tarski(X16,k1_surreal0(X17))|X16=k11_surreal0)|~epred1_3(X17,X16,X15))&(v2_surreali(X16)|(~r2_tarski(X16,k1_surreal0(X17))|X16=k11_surreal0)|~epred1_3(X17,X16,X15)))&((X16!=k11_surreal0|r2_tarski(X16,k1_surreal0(X17))|~epred1_3(X17,X16,X15))&(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16)|r2_tarski(X16,k1_surreal0(X17))|~epred1_3(X17,X16,X15))))&((r2_tarski(X16,k2_surreal0(X15))|~r2_tarski(X16,k2_surreal0(X17))|~epred1_3(X17,X16,X15))&(v2_surreali(X16)|~r2_tarski(X16,k2_surreal0(X17))|~epred1_3(X17,X16,X15))))&(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|r2_tarski(X16,k2_surreal0(X17))|~epred1_3(X17,X16,X15)))&((((((((r2_tarski(X16,k2_surreal0(X15))|(r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15)))&(((r2_tarski(X16,k2_surreal0(X15))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15))))&((((r2_tarski(X16,k2_surreal0(X15))|(r2_tarski(X16,k2_surreal0(X17))|(v2_surreali(X16)|X16=k11_surreal0|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(r2_tarski(X16,k2_surreal0(X17))|(v2_surreali(X16)|X16=k11_surreal0|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k2_surreal0(X17))|(v2_surreali(X16)|X16=k11_surreal0|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15)))&(((r2_tarski(X16,k2_surreal0(X15))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(v2_surreali(X16)|X16=k11_surreal0|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(v2_surreali(X16)|X16=k11_surreal0|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(v2_surreali(X16)|X16=k11_surreal0|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15)))))&((((r2_tarski(X16,k2_surreal0(X15))|(r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X17))|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X17))|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X17))|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15)))&(((r2_tarski(X16,k2_surreal0(X15))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(~r2_tarski(X16,k1_surreal0(X17))|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(~r2_tarski(X16,k1_surreal0(X17))|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(~r2_tarski(X16,k1_surreal0(X17))|r2_tarski(X16,k1_surreal0(X17))))|epred1_3(X17,X16,X15)))))&((((((r2_tarski(X16,k2_surreal0(X15))|(r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|X16!=k11_surreal0))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|X16!=k11_surreal0))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|X16!=k11_surreal0))|epred1_3(X17,X16,X15)))&(((r2_tarski(X16,k2_surreal0(X15))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|X16!=k11_surreal0))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|X16!=k11_surreal0))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|X16!=k11_surreal0))|epred1_3(X17,X16,X15))))&((((r2_tarski(X16,k2_surreal0(X15))|(r2_tarski(X16,k2_surreal0(X17))|(v2_surreali(X16)|X16=k11_surreal0|X16!=k11_surreal0))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(r2_tarski(X16,k2_surreal0(X17))|(v2_surreali(X16)|X16=k11_surreal0|X16!=k11_surreal0))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k2_surreal0(X17))|(v2_surreali(X16)|X16=k11_surreal0|X16!=k11_surreal0))|epred1_3(X17,X16,X15)))&(((r2_tarski(X16,k2_surreal0(X15))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(v2_surreali(X16)|X16=k11_surreal0|X16!=k11_surreal0))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(v2_surreali(X16)|X16=k11_surreal0|X16!=k11_surreal0))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(v2_surreali(X16)|X16=k11_surreal0|X16!=k11_surreal0))|epred1_3(X17,X16,X15)))))&((((r2_tarski(X16,k2_surreal0(X15))|(r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X17))|X16!=k11_surreal0))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X17))|X16!=k11_surreal0))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X17))|X16!=k11_surreal0))|epred1_3(X17,X16,X15)))&(((r2_tarski(X16,k2_surreal0(X15))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(~r2_tarski(X16,k1_surreal0(X17))|X16!=k11_surreal0))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(~r2_tarski(X16,k1_surreal0(X17))|X16!=k11_surreal0))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(~r2_tarski(X16,k1_surreal0(X17))|X16!=k11_surreal0))|epred1_3(X17,X16,X15))))))&((((((r2_tarski(X16,k2_surreal0(X15))|(r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15)))&(((r2_tarski(X16,k2_surreal0(X15))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(r2_tarski(X16,k1_surreal0(X15))|X16=k11_surreal0|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15))))&((((r2_tarski(X16,k2_surreal0(X15))|(r2_tarski(X16,k2_surreal0(X17))|(v2_surreali(X16)|X16=k11_surreal0|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(r2_tarski(X16,k2_surreal0(X17))|(v2_surreali(X16)|X16=k11_surreal0|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k2_surreal0(X17))|(v2_surreali(X16)|X16=k11_surreal0|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15)))&(((r2_tarski(X16,k2_surreal0(X15))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(v2_surreali(X16)|X16=k11_surreal0|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(v2_surreali(X16)|X16=k11_surreal0|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(v2_surreali(X16)|X16=k11_surreal0|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15)))))&((((r2_tarski(X16,k2_surreal0(X15))|(r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15)))&(((r2_tarski(X16,k2_surreal0(X15))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(~r2_tarski(X16,k1_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15))&(v2_surreali(X16)|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(~r2_tarski(X16,k1_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15)))&(~r2_tarski(X16,k2_surreal0(X17))|(~r2_tarski(X16,k2_surreal0(X15))|~v2_surreali(X16)|(~r2_tarski(X16,k1_surreal0(X17))|(~r2_tarski(X16,k1_surreal0(X15))|~v2_surreali(X16))))|epred1_3(X17,X16,X15))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
fof(c_0_8, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>(v2_surreali(X1)=>k7_surreali(k7_surreali(X1))=k7_surreali(X1)))), inference(assume_negation,[status(cth)],[t19_surreali])).
cnf(c_0_9, plain, (X1=k7_surreali(X2)|~epred1_3(X1,esk2_2(X2,X1),X2)|~v2_surreal0(X1)|~v2_surreali(X1)|~v2_surreal0(X2)|~v2_surreali(X2)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_10, plain, (r2_tarski(X1,k2_surreal0(X2))|r2_tarski(X1,k2_surreal0(X3))|r2_tarski(X1,k1_surreal0(X2))|X1=k11_surreal0|r2_tarski(X1,k1_surreal0(X3))|epred1_3(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_11, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreali(esk1_0)&k7_surreali(k7_surreali(esk1_0))!=k7_surreali(esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
cnf(c_0_12, plain, (esk2_2(X1,X2)=k11_surreal0|X2=k7_surreali(X1)|r2_tarski(esk2_2(X1,X2),k2_surreal0(X1))|r2_tarski(esk2_2(X1,X2),k2_surreal0(X2))|r2_tarski(esk2_2(X1,X2),k1_surreal0(X1))|r2_tarski(esk2_2(X1,X2),k1_surreal0(X2))|~v2_surreali(X1)|~v2_surreali(X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_9, c_0_10])).
cnf(c_0_13, negated_conjecture, (v2_surreali(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_14, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
fof(c_0_15, plain, ![X14]:(v2_surreal0(k7_surreali(X14))&v2_surreali(k7_surreali(X14))), inference(variable_rename,[status(thm)],[dt_k7_surreali])).
cnf(c_0_16, negated_conjecture, (esk2_2(esk1_0,X1)=k11_surreal0|X1=k7_surreali(esk1_0)|r2_tarski(esk2_2(esk1_0,X1),k1_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,X1),k2_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,X1),k1_surreal0(X1))|r2_tarski(esk2_2(esk1_0,X1),k2_surreal0(X1))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14])])).
cnf(c_0_17, plain, (v2_surreali(k7_surreali(X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_18, plain, (v2_surreal0(k7_surreali(X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_19, plain, (v2_surreal0(esk2_2(X1,X2))|X2=k7_surreali(X1)|~v2_surreal0(X2)|~v2_surreali(X2)|~v2_surreal0(X1)|~v2_surreali(X1)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_20, plain, (r2_tarski(X1,k1_surreal0(X2))|X1=k11_surreal0|~r2_tarski(X1,k1_surreal0(X3))|~epred1_3(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_21, negated_conjecture, (esk2_2(esk1_0,k7_surreali(X1))=k11_surreal0|k7_surreali(X1)=k7_surreali(esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(X1)),k2_surreal0(k7_surreali(X1)))|r2_tarski(esk2_2(esk1_0,k7_surreali(X1)),k1_surreal0(k7_surreali(X1)))|r2_tarski(esk2_2(esk1_0,k7_surreali(X1)),k2_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(X1)),k1_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])])).
cnf(c_0_22, plain, (epred1_3(X1,X3,X2)|X1!=k7_surreali(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)|~v2_surreali(X1)|~v2_surreal0(X2)|~v2_surreali(X2)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_23, plain, (k7_surreali(X1)=k7_surreali(X2)|v2_surreal0(esk2_2(X2,k7_surreali(X1)))|~v2_surreali(X2)|~v2_surreal0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_17]), c_0_18])])).
cnf(c_0_24, plain, (esk2_2(esk1_0,k7_surreali(X1))=k11_surreal0|k7_surreali(X1)=k7_surreali(esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(X1)),k2_surreal0(k7_surreali(X1)))|r2_tarski(esk2_2(esk1_0,k7_surreali(X1)),k1_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(X1)),k2_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(X1)),k1_surreal0(X2))|~epred1_3(k7_surreali(X1),esk2_2(esk1_0,k7_surreali(X1)),X2)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_25, plain, (epred1_3(k7_surreali(X1),X2,X1)|~v2_surreali(X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_22]), c_0_17]), c_0_18])])).
cnf(c_0_26, negated_conjecture, (k7_surreali(X1)=k7_surreali(esk1_0)|v2_surreal0(esk2_2(esk1_0,k7_surreali(X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_13]), c_0_14])])).
cnf(c_0_27, plain, (r2_tarski(X1,k2_surreal0(X2))|~r2_tarski(X1,k2_surreal0(X3))|~epred1_3(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_28, plain, (esk2_2(esk1_0,k7_surreali(X1))=k11_surreal0|k7_surreali(X1)=k7_surreali(esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(X1)),k2_surreal0(k7_surreali(X1)))|r2_tarski(esk2_2(esk1_0,k7_surreali(X1)),k2_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(X1)),k1_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(X1)),k1_surreal0(X1))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])).
cnf(c_0_29, plain, (r2_tarski(X1,k2_surreal0(X2))|~r2_tarski(X1,k2_surreal0(k7_surreali(X2)))|~v2_surreali(X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_27, c_0_25])).
cnf(c_0_30, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(X1)))=k11_surreal0|k7_surreali(k7_surreali(X1))=k7_surreali(esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k2_surreal0(k7_surreali(k7_surreali(X1))))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k1_surreal0(k7_surreali(X1)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k1_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k2_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_17]), c_0_18])])).
cnf(c_0_31, plain, (v2_surreali(X1)|r2_tarski(X1,k2_surreal0(X2))|v2_surreali(X1)|X1=k11_surreal0|r2_tarski(X1,k1_surreal0(X2))|epred1_3(X2,X1,X3)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_32, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(X1)))=k11_surreal0|k7_surreali(k7_surreali(X1))=k7_surreali(esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k1_surreal0(k7_surreali(X1)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k2_surreal0(k7_surreali(X1)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k2_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k1_surreal0(esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_17]), c_0_18])]), c_0_26])).
cnf(c_0_33, plain, (X1=k11_surreal0|v2_surreali(X1)|epred1_3(X2,X1,X3)|r2_tarski(X1,k1_surreal0(X2))|r2_tarski(X1,k2_surreal0(X2))), inference(cn,[status(thm)],[c_0_31])).
cnf(c_0_34, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(X1)))=k11_surreal0|k7_surreali(k7_surreali(X1))=k7_surreali(esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k2_surreal0(k7_surreali(X1)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k1_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k2_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k1_surreal0(X2))|~epred1_3(k7_surreali(X1),esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),X2)), inference(spm,[status(thm)],[c_0_20, c_0_32])).
cnf(c_0_35, plain, (esk2_2(X1,X2)=k11_surreal0|X2=k7_surreali(X1)|r2_tarski(esk2_2(X1,X2),k2_surreal0(X2))|r2_tarski(esk2_2(X1,X2),k1_surreal0(X2))|v2_surreali(esk2_2(X1,X2))|~v2_surreali(X1)|~v2_surreali(X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_9, c_0_33])).
cnf(c_0_36, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(X1)))=k11_surreal0|k7_surreali(k7_surreali(X1))=k7_surreali(esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k2_surreal0(k7_surreali(X1)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k2_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k1_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))),k1_surreal0(X1))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_25]), c_0_26])).
cnf(c_0_37, negated_conjecture, (k7_surreali(k7_surreali(esk1_0))!=k7_surreali(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_38, negated_conjecture, (esk2_2(esk1_0,X1)=k11_surreal0|X1=k7_surreali(esk1_0)|r2_tarski(esk2_2(esk1_0,X1),k1_surreal0(X1))|r2_tarski(esk2_2(esk1_0,X1),k2_surreal0(X1))|v2_surreali(esk2_2(esk1_0,X1))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_13]), c_0_14])])).
cnf(c_0_39, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_13]), c_0_14])]), c_0_37])).
cnf(c_0_40, plain, (v2_surreali(X1)|X1=k11_surreal0|~r2_tarski(X1,k1_surreal0(X2))|~epred1_3(X2,X1,X3)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_41, negated_conjecture, (esk2_2(esk1_0,k7_surreali(X1))=k11_surreal0|k7_surreali(X1)=k7_surreali(esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(X1)),k2_surreal0(k7_surreali(X1)))|r2_tarski(esk2_2(esk1_0,k7_surreali(X1)),k1_surreal0(k7_surreali(X1)))|v2_surreali(esk2_2(esk1_0,k7_surreali(X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_17]), c_0_18])])).
cnf(c_0_42, plain, (v2_surreali(X1)|~r2_tarski(X1,k2_surreal0(X2))|~epred1_3(X2,X1,X3)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_43, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))|~v2_surreal0(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_39]), c_0_13]), c_0_14])])).
cnf(c_0_44, plain, (esk2_2(esk1_0,k7_surreali(X1))=k11_surreal0|k7_surreali(X1)=k7_surreali(esk1_0)|v2_surreali(esk2_2(esk1_0,k7_surreali(X1)))|~epred1_3(k7_surreali(X1),esk2_2(esk1_0,k7_surreali(X1)),X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])).
cnf(c_0_45, plain, (r2_tarski(X1,k2_surreal0(X2))|r2_tarski(X1,k2_surreal0(X3))|epred1_3(X3,X1,X2)|~r2_tarski(X1,k1_surreal0(X3))|~r2_tarski(X1,k1_surreal0(X2))|~v2_surreali(X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_46, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_26]), c_0_37])).
cnf(c_0_47, plain, (esk2_2(esk1_0,k7_surreali(X1))=k11_surreal0|k7_surreali(X1)=k7_surreali(esk1_0)|v2_surreali(esk2_2(esk1_0,k7_surreali(X1)))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_25]), c_0_26])).
cnf(c_0_48, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(esk1_0,esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),X1)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(X1))|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(X1))|~v2_surreali(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
cnf(c_0_49, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(X1)))=k11_surreal0|k7_surreali(k7_surreali(X1))=k7_surreali(esk1_0)|v2_surreali(esk2_2(esk1_0,k7_surreali(k7_surreali(X1))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_17]), c_0_18])])).
cnf(c_0_50, plain, (r2_tarski(X1,k1_surreal0(X3))|~r2_tarski(X1,k1_surreal0(X2))|~v2_surreali(X1)|~epred1_3(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_51, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(esk1_0,esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),X1)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(X1))|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(X1))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_37])).
cnf(c_0_52, plain, (r2_tarski(X1,k1_surreal0(k7_surreali(X2)))|~r2_tarski(X1,k1_surreal0(X2))|~v2_surreali(X1)|~v2_surreali(X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_50, c_0_25])).
cnf(c_0_53, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|v2_surreali(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))|~epred1_3(esk1_0,esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_46]), c_0_42])).
cnf(c_0_54, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(esk1_0,esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))), inference(spm,[status(thm)],[c_0_51, c_0_46])).
cnf(c_0_55, plain, (epred1_3(k7_surreali(X1),X2,X3)|r2_tarski(X2,k2_surreal0(k7_surreali(X1)))|r2_tarski(X2,k2_surreal0(X3))|~r2_tarski(X2,k1_surreal0(X3))|~r2_tarski(X2,k1_surreal0(X1))|~v2_surreali(X2)|~v2_surreali(X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_45, c_0_52])).
cnf(c_0_56, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))|v2_surreali(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(spm,[status(thm)],[c_0_53, c_0_54])).
cnf(c_0_57, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(k7_surreali(X1),esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(X1)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(X1))|~v2_surreali(X1)|~v2_surreal0(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_46]), c_0_56])).
cnf(c_0_58, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(k7_surreali(X1),esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(X1)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(X1))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_26]), c_0_37])).
cnf(c_0_59, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(k7_surreali(esk1_0),esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_46]), c_0_13]), c_0_14])])).
cnf(c_0_60, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_59]), c_0_56]), c_0_46])).
cnf(c_0_61, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(k7_surreali(k7_surreali(esk1_0)),esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(k7_surreali(esk1_0))))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_60]), c_0_17]), c_0_18])])).
cnf(c_0_62, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(k7_surreali(esk1_0))))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_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_9, c_0_61]), c_0_13]), c_0_17]), c_0_14]), c_0_18])]), c_0_37])).
cnf(c_0_63, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))|~v2_surreal0(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_62]), c_0_17]), c_0_18])])).
cnf(c_0_64, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_26]), c_0_37])).
cnf(c_0_65, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))|~v2_surreal0(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_64]), c_0_13]), c_0_14])])).
cnf(c_0_66, plain, (r2_tarski(X1,k1_surreal0(X3))|X1=k11_surreal0|r2_tarski(X1,k1_surreal0(X2))|epred1_3(X2,X1,X3)|~r2_tarski(X1,k2_surreal0(X2))|~r2_tarski(X1,k2_surreal0(X3))|~v2_surreali(X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_67, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_26]), c_0_37])).
cnf(c_0_68, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(X1,esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(X1))|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(X1))|~v2_surreali(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(spm,[status(thm)],[c_0_66, c_0_67])).
cnf(c_0_69, plain, (r2_tarski(X1,k2_surreal0(X3))|~r2_tarski(X1,k2_surreal0(X2))|~v2_surreali(X1)|~epred1_3(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_70, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(X1,esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(X1))|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(X1))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_49]), c_0_37])).
cnf(c_0_71, plain, (r2_tarski(X1,k2_surreal0(k7_surreali(X2)))|~r2_tarski(X1,k2_surreal0(X2))|~v2_surreali(X1)|~v2_surreali(X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_69, c_0_25])).
cnf(c_0_72, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(esk1_0,esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))), inference(spm,[status(thm)],[c_0_70, c_0_67])).
cnf(c_0_73, plain, (X1=k11_surreal0|epred1_3(X2,X1,k7_surreali(X3))|r2_tarski(X1,k1_surreal0(k7_surreali(X3)))|r2_tarski(X1,k1_surreal0(X2))|~r2_tarski(X1,k2_surreal0(X2))|~r2_tarski(X1,k2_surreal0(X3))|~v2_surreali(X1)|~v2_surreali(X3)|~v2_surreal0(X1)|~v2_surreal0(X3)), inference(spm,[status(thm)],[c_0_66, c_0_71])).
cnf(c_0_74, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|v2_surreali(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(spm,[status(thm)],[c_0_53, c_0_72])).
cnf(c_0_75, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(esk1_0,esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k7_surreali(X1))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(X1)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(X1))|~v2_surreali(X1)|~v2_surreal0(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_67]), c_0_74])).
cnf(c_0_76, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(esk1_0,esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k7_surreali(X1))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(X1)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(X1))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_26]), c_0_37])).
cnf(c_0_77, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(esk1_0,esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k7_surreali(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_67]), c_0_13]), c_0_14])])).
cnf(c_0_78, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_77]), c_0_67])).
cnf(c_0_79, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(X1))|~epred1_3(k7_surreali(esk1_0),esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),X1)), inference(spm,[status(thm)],[c_0_20, c_0_78])).
cnf(c_0_80, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|~v2_surreal0(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_25]), c_0_13]), c_0_14])])).
cnf(c_0_81, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_26]), c_0_37])).
cnf(c_0_82, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(esk1_0,esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k7_surreali(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(k7_surreali(esk1_0))))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_81]), c_0_17]), c_0_18])])).
cnf(c_0_83, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(k7_surreali(esk1_0))))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(k7_surreali(esk1_0))))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_82]), c_0_67])).
cnf(c_0_84, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(k7_surreali(esk1_0))))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(X1))|~epred1_3(k7_surreali(k7_surreali(esk1_0)),esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),X1)), inference(spm,[status(thm)],[c_0_20, c_0_83])).
cnf(c_0_85, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(k7_surreali(esk1_0))))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|~v2_surreal0(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_25]), c_0_17]), c_0_18])])).
cnf(c_0_86, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(k7_surreali(esk1_0))))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_26]), c_0_37])).
cnf(c_0_87, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|epred1_3(k7_surreali(k7_surreali(esk1_0)),esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),esk1_0)|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(k7_surreali(esk1_0))))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))), inference(spm,[status(thm)],[c_0_70, c_0_86])).
cnf(c_0_88, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(k7_surreali(esk1_0))))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_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_9, c_0_87]), c_0_13]), c_0_17]), c_0_14]), c_0_18])]), c_0_37])).
cnf(c_0_89, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(X1))|~epred1_3(k7_surreali(k7_surreali(esk1_0)),esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),X1)), inference(spm,[status(thm)],[c_0_20, c_0_88])).
cnf(c_0_90, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|~v2_surreal0(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_25]), c_0_17]), c_0_18])])).
cnf(c_0_91, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(esk1_0)))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_26]), c_0_37])).
cnf(c_0_92, plain, (epred1_3(X2,X1,X3)|~r2_tarski(X1,k2_surreal0(X2))|~r2_tarski(X1,k2_surreal0(X3))|~v2_surreali(X1)|~r2_tarski(X1,k1_surreal0(X2))|~r2_tarski(X1,k1_surreal0(X3))|~v2_surreali(X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_93, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(X1))|~epred1_3(k7_surreali(esk1_0),esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),X1)), inference(spm,[status(thm)],[c_0_20, c_0_91])).
cnf(c_0_94, plain, (epred1_3(X2,X1,X3)|~v2_surreali(X1)|~r2_tarski(X1,k1_surreal0(X3))|~r2_tarski(X1,k1_surreal0(X2))|~r2_tarski(X1,k2_surreal0(X3))|~r2_tarski(X1,k2_surreal0(X2))), inference(cn,[status(thm)],[c_0_92])).
cnf(c_0_95, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))|~v2_surreal0(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_25]), c_0_13]), c_0_14])])).
cnf(c_0_96, plain, (X1=k7_surreali(X2)|~r2_tarski(esk2_2(X2,X1),k1_surreal0(X2))|~r2_tarski(esk2_2(X2,X1),k1_surreal0(X1))|~r2_tarski(esk2_2(X2,X1),k2_surreal0(X2))|~r2_tarski(esk2_2(X2,X1),k2_surreal0(X1))|~v2_surreali(esk2_2(X2,X1))|~v2_surreali(X2)|~v2_surreali(X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_9, c_0_94])).
cnf(c_0_97, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_26]), c_0_37])).
cnf(c_0_98, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(k7_surreali(esk1_0))))|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(k7_surreali(esk1_0))))|~v2_surreali(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(csr,[status(thm)],[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_96, c_0_97]), c_0_13]), c_0_17]), c_0_14]), c_0_18])]), c_0_37]), c_0_67])).
cnf(c_0_99, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(k7_surreali(esk1_0))))|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(esk1_0)))|~v2_surreali(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))|~v2_surreal0(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_52]), c_0_17]), c_0_18])])).
cnf(c_0_100, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k1_surreal0(k7_surreali(esk1_0)))|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(esk1_0)))|~v2_surreali(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))|~v2_surreal0(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_71]), c_0_17]), c_0_18])])).
cnf(c_0_101, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|~r2_tarski(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))),k2_surreal0(k7_surreali(esk1_0)))|~v2_surreali(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))|~v2_surreal0(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_52]), c_0_13]), c_0_14])]), c_0_97])).
cnf(c_0_102, plain, (r2_tarski(X1,k1_surreal0(X2))|X1!=k11_surreal0|~epred1_3(X2,X1,X3)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_103, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|~v2_surreali(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))|~v2_surreal0(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_71]), c_0_13]), c_0_14])]), c_0_67])).
cnf(c_0_104, plain, (v2_surreali(X1)|r2_tarski(X1,k2_surreal0(X2))|epred1_3(X2,X1,X3)|~r2_tarski(X1,k1_surreal0(X2))|X1!=k11_surreal0), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_105, plain, (r2_tarski(k11_surreal0,k1_surreal0(X1))|~epred1_3(X1,k11_surreal0,X2)), inference(er,[status(thm)],[c_0_102])).
cnf(c_0_106, plain, (v2_surreal0(k11_surreal0)), inference(split_conjunct,[status(thm)],[dt_k11_surreal0])).
cnf(c_0_107, plain, (r2_tarski(X1,k2_surreal0(X2))|r2_tarski(X1,k2_surreal0(X3))|epred1_3(X3,X1,X2)|~r2_tarski(X1,k1_surreal0(X3))|X1!=k11_surreal0), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_108, negated_conjecture, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0|~v2_surreali(esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_26]), c_0_37])).
cnf(c_0_109, plain, (epred1_3(X1,k11_surreal0,X2)|r2_tarski(k11_surreal0,k2_surreal0(X1))|v2_surreali(k11_surreal0)|~r2_tarski(k11_surreal0,k1_surreal0(X1))), inference(er,[status(thm)],[c_0_104])).
cnf(c_0_110, plain, (r2_tarski(k11_surreal0,k1_surreal0(k7_surreali(X1)))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_25]), c_0_106])])).
cnf(c_0_111, plain, (epred1_3(X1,k11_surreal0,X2)|r2_tarski(k11_surreal0,k2_surreal0(X1))|r2_tarski(k11_surreal0,k2_surreal0(X2))|~r2_tarski(k11_surreal0,k1_surreal0(X1))), inference(er,[status(thm)],[c_0_107])).
cnf(c_0_112, plain, (esk2_2(esk1_0,k7_surreali(k7_surreali(esk1_0)))=k11_surreal0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_49]), c_0_37])).
cnf(c_0_113, plain, (epred1_3(k7_surreali(X1),k11_surreal0,X2)|r2_tarski(k11_surreal0,k2_surreal0(k7_surreali(X1)))|v2_surreali(k11_surreal0)|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_109, c_0_110])).
cnf(c_0_114, plain, (epred1_3(k7_surreali(X1),k11_surreal0,X2)|r2_tarski(k11_surreal0,k2_surreal0(k7_surreali(X1)))|r2_tarski(k11_surreal0,k2_surreal0(X2))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_111, c_0_110])).
cnf(c_0_115, plain, (~epred1_3(k7_surreali(k7_surreali(esk1_0)),k11_surreal0,esk1_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_9, c_0_112]), c_0_13]), c_0_17]), c_0_14]), c_0_18])]), c_0_37])).
cnf(c_0_116, plain, (epred1_3(k7_surreali(k7_surreali(X1)),k11_surreal0,X2)|r2_tarski(k11_surreal0,k2_surreal0(k7_surreali(k7_surreali(X1))))|v2_surreali(k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_17]), c_0_18])])).
cnf(c_0_117, plain, (epred1_3(k7_surreali(k7_surreali(X1)),k11_surreal0,X2)|r2_tarski(k11_surreal0,k2_surreal0(k7_surreali(k7_surreali(X1))))|r2_tarski(k11_surreal0,k2_surreal0(X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_17]), c_0_18])])).
cnf(c_0_118, plain, (epred1_3(X2,X1,X3)|~r2_tarski(X1,k2_surreal0(X2))|~r2_tarski(X1,k2_surreal0(X3))|~v2_surreali(X1)|~r2_tarski(X1,k1_surreal0(X2))|X1!=k11_surreal0), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_119, plain, (v2_surreali(X1)|~r2_tarski(X1,k2_surreal0(k7_surreali(X2)))|~v2_surreali(X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_42, c_0_25])).
cnf(c_0_120, plain, (r2_tarski(k11_surreal0,k2_surreal0(k7_surreali(k7_surreali(esk1_0))))|v2_surreali(k11_surreal0)), inference(spm,[status(thm)],[c_0_115, c_0_116])).
cnf(c_0_121, plain, (r2_tarski(k11_surreal0,k2_surreal0(k7_surreali(k7_surreali(esk1_0))))|r2_tarski(k11_surreal0,k2_surreal0(esk1_0))), inference(spm,[status(thm)],[c_0_115, c_0_117])).
cnf(c_0_122, plain, (epred1_3(X1,k11_surreal0,X2)|~r2_tarski(k11_surreal0,k1_surreal0(X1))|~r2_tarski(k11_surreal0,k2_surreal0(X2))|~r2_tarski(k11_surreal0,k2_surreal0(X1))|~v2_surreali(k11_surreal0)), inference(er,[status(thm)],[c_0_118])).
cnf(c_0_123, plain, (v2_surreali(k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_17]), c_0_106]), c_0_18])])).
cnf(c_0_124, plain, (r2_tarski(k11_surreal0,k2_surreal0(k7_surreali(esk1_0)))|r2_tarski(k11_surreal0,k2_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_121]), c_0_17]), c_0_106]), c_0_18])])).
cnf(c_0_125, plain, (epred1_3(X1,k11_surreal0,X2)|~r2_tarski(k11_surreal0,k1_surreal0(X1))|~r2_tarski(k11_surreal0,k2_surreal0(X2))|~r2_tarski(k11_surreal0,k2_surreal0(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122, c_0_123])])).
cnf(c_0_126, plain, (r2_tarski(k11_surreal0,k2_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_124]), c_0_13]), c_0_106]), c_0_14])])).
cnf(c_0_127, plain, (~r2_tarski(k11_surreal0,k1_surreal0(k7_surreali(k7_surreali(esk1_0))))|~r2_tarski(k11_surreal0,k2_surreal0(k7_surreali(k7_surreali(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_125]), c_0_126])])).
cnf(c_0_128, plain, (~r2_tarski(k11_surreal0,k2_surreal0(k7_surreali(k7_surreali(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_110]), c_0_17]), c_0_18])])).
cnf(c_0_129, plain, (~r2_tarski(k11_surreal0,k2_surreal0(k7_surreali(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128, c_0_71]), c_0_123]), c_0_17]), c_0_106]), c_0_18])])).
cnf(c_0_130, plain, ($false), 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_129, c_0_71]), c_0_126]), c_0_123]), c_0_13]), c_0_106]), c_0_14])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 131
# Proof object clause steps            : 120
# Proof object formula steps           : 11
# Proof object conjectures             : 29
# Proof object clause conjectures      : 26
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 24
# Proof object initial formulas used   : 4
# Proof object generating inferences   : 88
# Proof object simplifying inferences  : 165
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 4
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 70
# Removed in clause preprocessing      : 44
# Initial clauses in saturation        : 26
# Processed clauses                    : 472
# ...of these trivial                  : 0
# ...subsumed                          : 150
# ...remaining for further processing  : 322
# Other redundant clauses eliminated   : 5
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 63
# Backward-rewritten                   : 21
# Generated clauses                    : 1623
# ...of the previous two non-trivial   : 1314
# Contextual simplify-reflections      : 109
# Paramodulations                      : 1614
# Factorizations                       : 2
# 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  : 207
#    Positive orientable unit clauses  : 8
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 195
# Current number of unprocessed clauses: 853
# ...number of literals in the above   : 9497
# Current number of archived formulas  : 0
# Current number of archived clauses   : 110
# Clause-clause subsumption calls (NU) : 35982
# Rec. Clause-clause subsumption calls : 1632
# Non-unit clause-clause subsumptions  : 322
# Unit Clause-clause subsumption calls : 284
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 6
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 133067

# -------------------------------------------------
# User time                : 0.071 s
# System time              : 0.004 s
# Total time               : 0.075 s
# Maximum resident set size: 2900 pages
