# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S021N
# and selection function PSelectAllCondOptimalLit.
#
# Preprocessing time       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t35_surrealc, conjecture, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>((r1_surrealo(k2_surrealr(X2),X1)&r1_surrealo(X1,X2))<=>r1_surrealo(k4_surrealc(X1),X2)))), file('surrealc/surrealc__t35_surrealc', t35_surrealc)).
fof(d6_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>((r1_surrealo(k11_surreal0,X1)=>k4_surrealc(X1)=X1)&(~(r1_surrealo(k11_surreal0,X1))=>k4_surrealc(X1)=k2_surrealr(X1)))), file('surrealc/surrealc__t35_surrealc', d6_surrealc)).
fof(t10_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r1_surrealo(X1,X2)<=>r1_surrealo(k2_surrealr(X2),k2_surrealr(X1))))), file('surrealc/surrealc__t35_surrealc', t10_surrealr)).
fof(rd1_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>k2_surrealr(k2_surrealr(X1))=X1), file('surrealc/surrealc__t35_surrealc', rd1_surrealr)).
fof(fc3_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k2_surrealr(X1))), file('surrealc/surrealc__t35_surrealc', fc3_surrealr)).
fof(redefinition_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)<=>r5_surreal0(X1,X2))), file('surrealc/surrealc__t35_surrealc', redefinition_r1_surrealo)).
fof(connectedness_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)|r1_surrealo(X2,X1))), file('surrealc/surrealc__t35_surrealc', connectedness_r1_surrealo)).
fof(t4_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>((r5_surreal0(X1,X2)&r5_surreal0(X2,X3))=>r5_surreal0(X1,X3))))), file('surrealc/surrealc__t35_surrealc', t4_surrealo)).
fof(fc21_surrealn, axiom, (v2_surreal0(k11_surreal0)&v3_surrealn(k11_surreal0)), file('surrealc/surrealc__t35_surrealc', fc21_surrealn)).
fof(rd2_surrealr, axiom, k2_surrealr(k11_surreal0)=k11_surreal0, file('surrealc/surrealc__t35_surrealc', rd2_surrealr)).
fof(c_0_10, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>((r1_surrealo(k2_surrealr(X2),X1)&r1_surrealo(X1,X2))<=>r1_surrealo(k4_surrealc(X1),X2))))), inference(assume_negation,[status(cth)],[t35_surrealc])).
fof(c_0_11, plain, ![X1]:(v2_surreal0(X1)=>((r1_surrealo(k11_surreal0,X1)=>k4_surrealc(X1)=X1)&(~r1_surrealo(k11_surreal0,X1)=>k4_surrealc(X1)=k2_surrealr(X1)))), inference(fof_simplification,[status(thm)],[d6_surrealc])).
fof(c_0_12, plain, ![X27, X28]:((~r1_surrealo(X27,X28)|r1_surrealo(k2_surrealr(X28),k2_surrealr(X27))|~v2_surreal0(X28)|~v2_surreal0(X27))&(~r1_surrealo(k2_surrealr(X28),k2_surrealr(X27))|r1_surrealo(X27,X28)|~v2_surreal0(X28)|~v2_surreal0(X27))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_surrealr])])])])).
fof(c_0_13, plain, ![X24]:(~v2_surreal0(X24)|k2_surrealr(k2_surrealr(X24))=X24), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd1_surrealr])])).
fof(c_0_14, plain, ![X23]:(~v2_surreal0(X23)|v2_surreal0(k2_surrealr(X23))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_surrealr])])).
fof(c_0_15, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreal0(esk2_0)&((~r1_surrealo(k2_surrealr(esk2_0),esk1_0)|~r1_surrealo(esk1_0,esk2_0)|~r1_surrealo(k4_surrealc(esk1_0),esk2_0))&((r1_surrealo(k2_surrealr(esk2_0),esk1_0)|r1_surrealo(k4_surrealc(esk1_0),esk2_0))&(r1_surrealo(esk1_0,esk2_0)|r1_surrealo(k4_surrealc(esk1_0),esk2_0)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])).
fof(c_0_16, plain, ![X22]:((~r1_surrealo(k11_surreal0,X22)|k4_surrealc(X22)=X22|~v2_surreal0(X22))&(r1_surrealo(k11_surreal0,X22)|k4_surrealc(X22)=k2_surrealr(X22)|~v2_surreal0(X22))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])).
cnf(c_0_17, plain, (r1_surrealo(X2,X1)|~r1_surrealo(k2_surrealr(X1),k2_surrealr(X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_18, plain, (k2_surrealr(k2_surrealr(X1))=X1|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_19, plain, (v2_surreal0(k2_surrealr(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_20, negated_conjecture, (r1_surrealo(k2_surrealr(esk2_0),esk1_0)|r1_surrealo(k4_surrealc(esk1_0),esk2_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_21, plain, (r1_surrealo(k11_surreal0,X1)|k4_surrealc(X1)=k2_surrealr(X1)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_22, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_23, negated_conjecture, (~r1_surrealo(k2_surrealr(esk2_0),esk1_0)|~r1_surrealo(esk1_0,esk2_0)|~r1_surrealo(k4_surrealc(esk1_0),esk2_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_24, plain, (r1_surrealo(k2_surrealr(X1),X2)|~r1_surrealo(k2_surrealr(X2),X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])).
cnf(c_0_25, negated_conjecture, (r1_surrealo(k2_surrealr(esk1_0),esk2_0)|r1_surrealo(k2_surrealr(esk2_0),esk1_0)|r1_surrealo(k11_surreal0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22])])).
cnf(c_0_26, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_27, negated_conjecture, (r1_surrealo(k11_surreal0,esk1_0)|~r1_surrealo(k2_surrealr(esk2_0),esk1_0)|~r1_surrealo(k2_surrealr(esk1_0),esk2_0)|~r1_surrealo(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_21]), c_0_22])])).
cnf(c_0_28, negated_conjecture, (r1_surrealo(k2_surrealr(esk1_0),esk2_0)|r1_surrealo(k11_surreal0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26]), c_0_22])])).
cnf(c_0_29, plain, (k4_surrealc(X1)=X1|~r1_surrealo(k11_surreal0,X1)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_30, negated_conjecture, (r1_surrealo(k11_surreal0,esk1_0)|~r1_surrealo(esk1_0,esk2_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_24]), c_0_22]), c_0_26])]), c_0_28])).
fof(c_0_31, plain, ![X25, X26]:((~r1_surrealo(X25,X26)|r5_surreal0(X25,X26)|(~v2_surreal0(X25)|~v2_surreal0(X26)))&(~r5_surreal0(X25,X26)|r1_surrealo(X25,X26)|(~v2_surreal0(X25)|~v2_surreal0(X26)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
cnf(c_0_32, negated_conjecture, (k4_surrealc(esk1_0)=esk1_0|~r1_surrealo(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_22])])).
fof(c_0_33, plain, ![X20, X21]:(~v2_surreal0(X20)|~v2_surreal0(X21)|(r1_surrealo(X20,X21)|r1_surrealo(X21,X20))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_r1_surrealo])])).
cnf(c_0_34, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_35, negated_conjecture, (~r1_surrealo(k2_surrealr(esk2_0),esk1_0)|~r1_surrealo(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_23, c_0_32])).
cnf(c_0_36, plain, (r1_surrealo(X1,X2)|r1_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_33])).
fof(c_0_37, plain, ![X29, X30, X31]:(~v2_surreal0(X29)|(~v2_surreal0(X30)|(~v2_surreal0(X31)|(~r5_surreal0(X29,X30)|~r5_surreal0(X30,X31)|r5_surreal0(X29,X31))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_surrealo])])])).
cnf(c_0_38, negated_conjecture, (r5_surreal0(k4_surrealc(esk1_0),esk2_0)|r1_surrealo(k2_surrealr(esk2_0),esk1_0)|~v2_surreal0(k4_surrealc(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_20]), c_0_26])])).
cnf(c_0_39, negated_conjecture, (~r1_surrealo(k2_surrealr(esk1_0),esk2_0)|~r1_surrealo(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_24]), c_0_22]), c_0_26])])).
cnf(c_0_40, negated_conjecture, (r1_surrealo(X1,esk2_0)|r1_surrealo(esk2_0,X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_36, c_0_26])).
cnf(c_0_41, plain, (r5_surreal0(X1,X3)|~v2_surreal0(X1)|~v2_surreal0(X2)|~v2_surreal0(X3)|~r5_surreal0(X1,X2)|~r5_surreal0(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_42, negated_conjecture, (r5_surreal0(esk1_0,esk2_0)|~r1_surrealo(esk1_0,esk2_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_32]), c_0_22])]), c_0_35])).
cnf(c_0_43, negated_conjecture, (r1_surrealo(esk2_0,k2_surrealr(esk1_0))|~r1_surrealo(esk1_0,esk2_0)|~v2_surreal0(k2_surrealr(esk1_0))), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_44, plain, (r1_surrealo(X1,X2)|~r5_surreal0(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_45, negated_conjecture, (r5_surreal0(X1,esk2_0)|~r5_surreal0(X1,esk1_0)|~r1_surrealo(esk1_0,esk2_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_26]), c_0_22])])).
cnf(c_0_46, plain, (v2_surreal0(k11_surreal0)), inference(split_conjunct,[status(thm)],[fc21_surrealn])).
cnf(c_0_47, negated_conjecture, (r5_surreal0(esk2_0,k2_surrealr(esk1_0))|~r1_surrealo(esk1_0,esk2_0)|~v2_surreal0(k2_surrealr(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_43]), c_0_26])])).
cnf(c_0_48, negated_conjecture, (r1_surrealo(X1,esk2_0)|~r5_surreal0(X1,esk1_0)|~r1_surrealo(esk1_0,esk2_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_26])])).
cnf(c_0_49, negated_conjecture, (r5_surreal0(k11_surreal0,esk1_0)|~r1_surrealo(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_30]), c_0_22]), c_0_46])])).
cnf(c_0_50, negated_conjecture, (r5_surreal0(X1,k2_surrealr(esk1_0))|~r5_surreal0(X1,esk2_0)|~r1_surrealo(esk1_0,esk2_0)|~v2_surreal0(k2_surrealr(esk1_0))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_47]), c_0_26])])).
cnf(c_0_51, negated_conjecture, (r1_surrealo(k11_surreal0,esk2_0)|~r1_surrealo(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_46])])).
cnf(c_0_52, negated_conjecture, (r1_surrealo(X1,esk1_0)|r1_surrealo(esk1_0,X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_36, c_0_22])).
cnf(c_0_53, negated_conjecture, (r1_surrealo(X1,k2_surrealr(esk1_0))|~r5_surreal0(X1,esk2_0)|~r1_surrealo(esk1_0,esk2_0)|~v2_surreal0(k2_surrealr(esk1_0))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_44, c_0_50])).
cnf(c_0_54, negated_conjecture, (r5_surreal0(k11_surreal0,esk2_0)|~r1_surrealo(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_51]), c_0_26]), c_0_46])])).
cnf(c_0_55, negated_conjecture, (r1_surrealo(esk1_0,esk2_0)|r1_surrealo(k4_surrealc(esk1_0),esk2_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_56, negated_conjecture, (k4_surrealc(esk1_0)=esk1_0|r1_surrealo(esk1_0,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_52]), c_0_22]), c_0_46])])).
cnf(c_0_57, plain, (r1_surrealo(X1,k2_surrealr(X2))|~r1_surrealo(X2,k2_surrealr(X1))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])).
cnf(c_0_58, negated_conjecture, (r1_surrealo(k11_surreal0,k2_surrealr(esk1_0))|~r1_surrealo(esk1_0,esk2_0)|~v2_surreal0(k2_surrealr(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_46])])).
cnf(c_0_59, plain, (k2_surrealr(k11_surreal0)=k11_surreal0), inference(split_conjunct,[status(thm)],[rd2_surrealr])).
cnf(c_0_60, negated_conjecture, (r1_surrealo(esk1_0,k11_surreal0)|r1_surrealo(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_61, negated_conjecture, (r1_surrealo(esk1_0,k11_surreal0)|~v2_surreal0(k2_surrealr(esk1_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_57, c_0_58]), c_0_59]), c_0_22]), c_0_46])]), c_0_60])).
cnf(c_0_62, negated_conjecture, (r1_surrealo(esk1_0,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_19]), c_0_22])])).
cnf(c_0_63, negated_conjecture, (r5_surreal0(esk1_0,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_62]), c_0_46]), c_0_22])])).
cnf(c_0_64, negated_conjecture, (r5_surreal0(X1,k11_surreal0)|~r5_surreal0(X1,esk1_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_63]), c_0_46]), c_0_22])])).
cnf(c_0_65, plain, (r1_surrealo(X1,X1)|~v2_surreal0(X1)), inference(ef,[status(thm)],[c_0_36])).
cnf(c_0_66, negated_conjecture, (r5_surreal0(X1,k11_surreal0)|~r5_surreal0(X2,esk1_0)|~r5_surreal0(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_64]), c_0_46])])).
cnf(c_0_67, plain, (r5_surreal0(k2_surrealr(X1),X2)|~r1_surrealo(k2_surrealr(X2),X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_24]), c_0_19])).
cnf(c_0_68, plain, (r1_surrealo(k2_surrealr(X1),k2_surrealr(X1))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_65, c_0_19])).
cnf(c_0_69, negated_conjecture, (r5_surreal0(X1,k11_surreal0)|~r5_surreal0(X1,k2_surrealr(X2))|~r1_surrealo(k2_surrealr(esk1_0),X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_22])]), c_0_19])).
cnf(c_0_70, plain, (r5_surreal0(k2_surrealr(X1),k2_surrealr(X1))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_68]), c_0_19])).
cnf(c_0_71, negated_conjecture, (r5_surreal0(k2_surrealr(X1),k11_surreal0)|~r1_surrealo(k2_surrealr(esk1_0),X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_19])).
cnf(c_0_72, negated_conjecture, (r5_surreal0(k4_surrealc(esk1_0),esk2_0)|r1_surrealo(esk1_0,esk2_0)|~v2_surreal0(k4_surrealc(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_55]), c_0_26])])).
cnf(c_0_73, negated_conjecture, (r5_surreal0(X1,k11_surreal0)|~r1_surrealo(k2_surrealr(esk1_0),k2_surrealr(X1))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_18]), c_0_19])).
cnf(c_0_74, plain, (r1_surrealo(k2_surrealr(X2),k2_surrealr(X1))|~r1_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_75, negated_conjecture, (r5_surreal0(X1,esk2_0)|r1_surrealo(esk1_0,esk2_0)|~r5_surreal0(X1,k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_72]), c_0_26])])).
cnf(c_0_76, negated_conjecture, (r5_surreal0(esk1_0,X1)|r1_surrealo(X1,esk1_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_52]), c_0_22])])).
cnf(c_0_77, negated_conjecture, (r5_surreal0(X1,k11_surreal0)|~r1_surrealo(X1,esk1_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_22])])).
cnf(c_0_78, negated_conjecture, (r5_surreal0(esk1_0,esk2_0)|r1_surrealo(k4_surrealc(esk1_0),esk1_0)|~v2_surreal0(k4_surrealc(esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_22])]), c_0_42])).
cnf(c_0_79, negated_conjecture, (r1_surrealo(X1,k11_surreal0)|~r1_surrealo(X1,esk1_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_77]), c_0_46])])).
cnf(c_0_80, negated_conjecture, (r5_surreal0(esk1_0,esk2_0)|r1_surrealo(k2_surrealr(esk1_0),esk1_0)|r1_surrealo(k11_surreal0,esk1_0)|~v2_surreal0(k2_surrealr(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_21]), c_0_22])])).
cnf(c_0_81, negated_conjecture, (r1_surrealo(k11_surreal0,X1)|~r1_surrealo(k2_surrealr(X1),esk1_0)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_79]), c_0_59]), c_0_46])]), c_0_19])).
cnf(c_0_82, negated_conjecture, (r1_surrealo(k2_surrealr(esk1_0),esk1_0)|r1_surrealo(k11_surreal0,esk1_0)|~v2_surreal0(k2_surrealr(esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_80]), c_0_26]), c_0_22])]), c_0_30])).
cnf(c_0_83, negated_conjecture, (r1_surrealo(k11_surreal0,esk1_0)|~v2_surreal0(k2_surrealr(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_22])])).
cnf(c_0_84, negated_conjecture, (r5_surreal0(X1,esk2_0)|~r5_surreal0(X2,esk1_0)|~r5_surreal0(X1,X2)|~r1_surrealo(esk1_0,esk2_0)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_45]), c_0_26])])).
cnf(c_0_85, negated_conjecture, (r1_surrealo(k11_surreal0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_19]), c_0_22])])).
cnf(c_0_86, negated_conjecture, (r1_surrealo(X1,esk2_0)|~r5_surreal0(X2,esk1_0)|~r5_surreal0(X1,X2)|~r1_surrealo(esk1_0,esk2_0)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_84]), c_0_26])])).
cnf(c_0_87, negated_conjecture, (k4_surrealc(esk1_0)=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_85]), c_0_22])])).
cnf(c_0_88, negated_conjecture, (r1_surrealo(X1,esk2_0)|~r5_surreal0(X1,k11_surreal0)|~r1_surrealo(esk1_0,esk2_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_49]), c_0_46])])).
cnf(c_0_89, negated_conjecture, (r1_surrealo(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_87])])).
cnf(c_0_90, negated_conjecture, (r1_surrealo(X1,esk2_0)|~r5_surreal0(X1,k11_surreal0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88, c_0_89])])).
cnf(c_0_91, plain, (r1_surrealo(X1,X2)|~r1_surrealo(k2_surrealr(k2_surrealr(X1)),X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_24]), c_0_19])).
cnf(c_0_92, negated_conjecture, (r1_surrealo(X1,esk2_0)|~r1_surrealo(X1,esk1_0)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_90, c_0_77])).
cnf(c_0_93, negated_conjecture, (r1_surrealo(X1,esk2_0)|~r1_surrealo(k2_surrealr(k2_surrealr(X1)),esk1_0)|~v2_surreal0(k2_surrealr(k2_surrealr(X1)))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_26])])).
cnf(c_0_94, plain, (r1_surrealo(k2_surrealr(k2_surrealr(X1)),X2)|~r1_surrealo(X1,k2_surrealr(k2_surrealr(X2)))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_57]), c_0_19]), c_0_19])).
cnf(c_0_95, negated_conjecture, (r5_surreal0(X1,esk1_0)|~r5_surreal0(X1,k11_surreal0)|~r1_surrealo(esk1_0,esk2_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_49]), c_0_22]), c_0_46])])).
cnf(c_0_96, negated_conjecture, (r1_surrealo(X1,esk2_0)|~r1_surrealo(X1,k2_surrealr(k2_surrealr(esk1_0)))|~v2_surreal0(k2_surrealr(k2_surrealr(X1)))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_22])])).
cnf(c_0_97, negated_conjecture, (r5_surreal0(X1,esk1_0)|~r5_surreal0(X1,k11_surreal0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95, c_0_89])])).
cnf(c_0_98, negated_conjecture, (r1_surrealo(k2_surrealr(k2_surrealr(esk1_0)),esk2_0)|~v2_surreal0(k2_surrealr(k2_surrealr(k2_surrealr(k2_surrealr(esk1_0)))))|~v2_surreal0(k2_surrealr(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_68]), c_0_19])).
cnf(c_0_99, negated_conjecture, (r5_surreal0(X1,esk1_0)|~r1_surrealo(X1,esk1_0)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_97, c_0_77])).
cnf(c_0_100, negated_conjecture, (r1_surrealo(k2_surrealr(k2_surrealr(esk1_0)),esk2_0)|~v2_surreal0(k2_surrealr(k2_surrealr(k2_surrealr(esk1_0))))|~v2_surreal0(k2_surrealr(esk1_0))), inference(spm,[status(thm)],[c_0_98, c_0_19])).
cnf(c_0_101, negated_conjecture, (r5_surreal0(X1,esk1_0)|~r5_surreal0(X1,X2)|~r1_surrealo(X2,esk1_0)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_99]), c_0_22])])).
cnf(c_0_102, negated_conjecture, (r1_surrealo(k2_surrealr(k2_surrealr(esk1_0)),esk2_0)|~v2_surreal0(k2_surrealr(esk1_0))), inference(spm,[status(thm)],[c_0_100, c_0_18])).
cnf(c_0_103, negated_conjecture, (r1_surrealo(X1,esk1_0)|~r5_surreal0(X1,X2)|~r1_surrealo(X2,esk1_0)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_101]), c_0_22])])).
cnf(c_0_104, negated_conjecture, (r1_surrealo(k2_surrealr(esk2_0),k2_surrealr(esk1_0))|~v2_surreal0(k2_surrealr(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_102]), c_0_26])])).
cnf(c_0_105, negated_conjecture, (r1_surrealo(X1,esk1_0)|~r5_surreal0(X2,esk1_0)|~r5_surreal0(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_66]), c_0_85]), c_0_46])])).
cnf(c_0_106, negated_conjecture, (r5_surreal0(k2_surrealr(esk2_0),k2_surrealr(esk1_0))|~v2_surreal0(k2_surrealr(esk1_0))|~v2_surreal0(k2_surrealr(esk2_0))), inference(spm,[status(thm)],[c_0_34, c_0_104])).
cnf(c_0_107, negated_conjecture, (~r1_surrealo(k2_surrealr(esk2_0),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_89])])).
cnf(c_0_108, negated_conjecture, (~r5_surreal0(k2_surrealr(esk1_0),esk1_0)|~v2_surreal0(k2_surrealr(esk2_0))|~v2_surreal0(k2_surrealr(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_106]), c_0_107])).
cnf(c_0_109, plain, (r5_surreal0(k2_surrealr(X1),k2_surrealr(X2))|~r1_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_74]), c_0_19]), c_0_19])).
cnf(c_0_110, negated_conjecture, (~r5_surreal0(k2_surrealr(esk1_0),X1)|~r1_surrealo(X1,esk1_0)|~v2_surreal0(k2_surrealr(esk2_0))|~v2_surreal0(k2_surrealr(esk1_0))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_108, c_0_101])).
cnf(c_0_111, plain, (r5_surreal0(k2_surrealr(X1),k11_surreal0)|~r1_surrealo(k11_surreal0,X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_59]), c_0_46])])).
cnf(c_0_112, negated_conjecture, (~v2_surreal0(k2_surrealr(esk2_0))|~v2_surreal0(k2_surrealr(esk1_0))), inference(cn,[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_85]), c_0_46]), c_0_22])])).
cnf(c_0_113, negated_conjecture, (~v2_surreal0(k2_surrealr(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_19]), c_0_26])])).
cnf(c_0_114, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_19]), c_0_22])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 115
# Proof object clause steps            : 95
# Proof object formula steps           : 20
# Proof object conjectures             : 76
# Proof object clause conjectures      : 73
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 17
# Proof object initial formulas used   : 10
# Proof object generating inferences   : 74
# Proof object simplifying inferences  : 143
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 10
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 18
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 18
# Processed clauses                    : 902
# ...of these trivial                  : 17
# ...subsumed                          : 565
# ...remaining for further processing  : 320
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 51
# Backward-rewritten                   : 66
# Generated clauses                    : 2654
# ...of the previous two non-trivial   : 1833
# Contextual simplify-reflections      : 57
# Paramodulations                      : 2644
# Factorizations                       : 10
# NegExts                              : 0
# Equation resolutions                 : 0
# 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  : 185
#    Positive orientable unit clauses  : 24
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 158
# Current number of unprocessed clauses: 873
# ...number of literals in the above   : 4385
# Current number of archived formulas  : 0
# Current number of archived clauses   : 135
# Clause-clause subsumption calls (NU) : 8452
# Rec. Clause-clause subsumption calls : 4494
# Non-unit clause-clause subsumptions  : 661
# Unit Clause-clause subsumption calls : 138
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 10
# BW rewrite match successes           : 10
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 44042

# -------------------------------------------------
# User time                : 0.051 s
# System time              : 0.007 s
# Total time               : 0.058 s
# Maximum resident set size: 3704 pages
